YES

Problem 1: 


:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR vNonEmpty x y z)
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(x,+(y,z)) -> +(+(x,y),z)
+(x,y) -> +(y,x)
)
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::


Problem 1: 

Problem 1: 

Commutativity Transform Procedure:

:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR vNonEmpty x y z)
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::


Problem 1: 


:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR vNonEmpty x y z)
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::


Problem 1: 

Problem 1: 
Not CS-TRS Procedure:
R is not a CS-TRS

Problem 1: 
Linearity Procedure:
Linear?
YES

Problem 1: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR vNonEmpty x y z)
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Huet Levy Procedure:
-> Rules:
 +(+(x,y),z) -> +(x,+(y,z))
 +(+(y,x),z) -> +(x,+(y,z))
 +(+(y,z),x) -> +(+(x,y),z)
 +(+(z,y),x) -> +(+(x,y),z)
 +(x,+(y,z)) -> +(+(x,y),z)
 +(x,+(z,y)) -> +(+(x,y),z)
 +(z,+(x,y)) -> +(x,+(y,z))
 +(z,+(y,x)) -> +(x,+(y,z))
-> Vars:
 x, y, z, x, y, z, x, y, z, x, y, z, x, y, z, x, y, z, x, y, z, x, y, z

-> Rlps:
 (rule: +(+(x,y),z) -> +(x,+(y,z)), id: 1, possubterms: +(+(x,y),z)->[], +(x,y)->[1])
 (rule: +(+(y,x),z) -> +(x,+(y,z)), id: 2, possubterms: +(+(y,x),z)->[], +(y,x)->[1])
 (rule: +(+(y,z),x) -> +(+(x,y),z), id: 3, possubterms: +(+(y,z),x)->[], +(y,z)->[1])
 (rule: +(+(z,y),x) -> +(+(x,y),z), id: 4, possubterms: +(+(z,y),x)->[], +(z,y)->[1])
 (rule: +(x,+(y,z)) -> +(+(x,y),z), id: 5, possubterms: +(x,+(y,z))->[], +(y,z)->[2])
 (rule: +(x,+(z,y)) -> +(+(x,y),z), id: 6, possubterms: +(x,+(z,y))->[], +(z,y)->[2])
 (rule: +(z,+(x,y)) -> +(x,+(y,z)), id: 7, possubterms: +(z,+(x,y))->[], +(x,y)->[2])
 (rule: +(z,+(y,x)) -> +(x,+(y,z)), id: 8, possubterms: +(z,+(y,x))->[], +(y,x)->[2])

-> Unifications:
(R1 unifies with R1 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> +(x',y'),y -> z'}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R1 unifies with R2 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> +(y',x'),y -> z'}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R1 unifies with R3 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> +(y',z'),y -> x'}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R1 unifies with R4 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> +(z',y'),y -> x'}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R1 unifies with R5 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> x',y -> +(y',z')}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R1 unifies with R6 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> x',y -> +(z',y')}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R1 unifies with R7 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> z',y -> +(x',y')}, l': +(z',+(x',y')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R1 unifies with R8 at p: [1], l: +(+(x,y),z), lp: +(x,y), sig: {x -> z',y -> +(y',x')}, l': +(z',+(y',x')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R2 unifies with R1 at p: [], l: +(+(y,x),z), lp: +(+(y,x),z), sig: {x -> y',y -> x',z -> z'}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R2 unifies with R1 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> z',y -> +(x',y')}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R2 unifies with R2 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> z',y -> +(y',x')}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R2 unifies with R3 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> x',y -> +(y',z')}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R2 unifies with R4 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> x',y -> +(z',y')}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R2 unifies with R5 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> +(y',z'),y -> x'}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R2 unifies with R6 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> +(z',y'),y -> x'}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R2 unifies with R7 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> +(x',y'),y -> z'}, l': +(z',+(x',y')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R2 unifies with R8 at p: [1], l: +(+(y,x),z), lp: +(y,x), sig: {x -> +(y',x'),y -> z'}, l': +(z',+(y',x')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R3 unifies with R1 at p: [], l: +(+(y,z),x), lp: +(+(y,z),x), sig: {x -> z',y -> x',z -> y'}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R3 unifies with R2 at p: [], l: +(+(y,z),x), lp: +(+(y,z),x), sig: {x -> z',y -> y',z -> x'}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R3 unifies with R1 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> +(x',y'),z -> z'}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R3 unifies with R2 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> +(y',x'),z -> z'}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R3 unifies with R3 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> +(y',z'),z -> x'}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R3 unifies with R4 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> +(z',y'),z -> x'}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R3 unifies with R5 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> x',z -> +(y',z')}, l': +(x',+(y',z')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R3 unifies with R6 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> x',z -> +(z',y')}, l': +(x',+(z',y')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R3 unifies with R7 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> z',z -> +(x',y')}, l': +(z',+(x',y')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R3 unifies with R8 at p: [1], l: +(+(y,z),x), lp: +(y,z), sig: {y -> z',z -> +(y',x')}, l': +(z',+(y',x')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R1 at p: [], l: +(+(z,y),x), lp: +(+(z,y),x), sig: {x -> z',y -> y',z -> x'}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R2 at p: [], l: +(+(z,y),x), lp: +(+(z,y),x), sig: {x -> z',y -> x',z -> y'}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R3 at p: [], l: +(+(z,y),x), lp: +(+(z,y),x), sig: {x -> x',y -> z',z -> y'}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R4 unifies with R1 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> z',z -> +(x',y')}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R2 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> z',z -> +(y',x')}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R3 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> x',z -> +(y',z')}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R4 unifies with R4 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> x',z -> +(z',y')}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R4 unifies with R5 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> +(y',z'),z -> x'}, l': +(x',+(y',z')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R4 unifies with R6 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> +(z',y'),z -> x'}, l': +(x',+(z',y')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R4 unifies with R7 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> +(x',y'),z -> z'}, l': +(z',+(x',y')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R4 unifies with R8 at p: [1], l: +(+(z,y),x), lp: +(z,y), sig: {y -> +(y',x'),z -> z'}, l': +(z',+(y',x')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R1 at p: [], l: +(x,+(y,z)), lp: +(x,+(y,z)), sig: {x -> +(x',y'),z' -> +(y,z)}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R2 at p: [], l: +(x,+(y,z)), lp: +(x,+(y,z)), sig: {x -> +(y',x'),z' -> +(y,z)}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R3 at p: [], l: +(x,+(y,z)), lp: +(x,+(y,z)), sig: {x -> +(y',z'),x' -> +(y,z)}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R4 at p: [], l: +(x,+(y,z)), lp: +(x,+(y,z)), sig: {x -> +(z',y'),x' -> +(y,z)}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R1 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> +(x',y'),z -> z'}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R2 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> +(y',x'),z -> z'}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R3 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> +(y',z'),z -> x'}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R4 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> +(z',y'),z -> x'}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R5 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> x',z -> +(y',z')}, l': +(x',+(y',z')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R6 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> x',z -> +(z',y')}, l': +(x',+(z',y')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R5 unifies with R7 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> z',z -> +(x',y')}, l': +(z',+(x',y')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R5 unifies with R8 at p: [2], l: +(x,+(y,z)), lp: +(y,z), sig: {y -> z',z -> +(y',x')}, l': +(z',+(y',x')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R1 at p: [], l: +(x,+(z,y)), lp: +(x,+(z,y)), sig: {x -> +(x',y'),z' -> +(z,y)}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R2 at p: [], l: +(x,+(z,y)), lp: +(x,+(z,y)), sig: {x -> +(y',x'),z' -> +(z,y)}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R3 at p: [], l: +(x,+(z,y)), lp: +(x,+(z,y)), sig: {x -> +(y',z'),x' -> +(z,y)}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R4 at p: [], l: +(x,+(z,y)), lp: +(x,+(z,y)), sig: {x -> +(z',y'),x' -> +(z,y)}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R5 at p: [], l: +(x,+(z,y)), lp: +(x,+(z,y)), sig: {x -> x',y -> z',z -> y'}, l': +(x',+(y',z')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R1 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> z',z -> +(x',y')}, l': +(+(x',y'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R2 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> z',z -> +(y',x')}, l': +(+(y',x'),z'), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R3 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> x',z -> +(y',z')}, l': +(+(y',z'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R4 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> x',z -> +(z',y')}, l': +(+(z',y'),x'), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R5 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> +(y',z'),z -> x'}, l': +(x',+(y',z')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R6 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> +(z',y'),z -> x'}, l': +(x',+(z',y')), r: +(+(x,y),z), r': +(+(x',y'),z'))
(R6 unifies with R7 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> +(x',y'),z -> z'}, l': +(z',+(x',y')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R6 unifies with R8 at p: [2], l: +(x,+(z,y)), lp: +(z,y), sig: {y -> +(y',x'),z -> z'}, l': +(z',+(y',x')), r: +(+(x,y),z), r': +(x',+(y',z')))
(R7 unifies with R1 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {z -> +(x',y'),z' -> +(x,y)}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R7 unifies with R2 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {z -> +(y',x'),z' -> +(x,y)}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R7 unifies with R3 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {z -> +(y',z'),x' -> +(x,y)}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R4 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {z -> +(z',y'),x' -> +(x,y)}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R5 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {x -> y',y -> z',z -> x'}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R6 at p: [], l: +(z,+(x,y)), lp: +(z,+(x,y)), sig: {x -> z',y -> y',z -> x'}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R1 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> +(x',y'),y -> z'}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R7 unifies with R2 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> +(y',x'),y -> z'}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R7 unifies with R3 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> +(y',z'),y -> x'}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R4 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> +(z',y'),y -> x'}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R5 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> x',y -> +(y',z')}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R6 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> x',y -> +(z',y')}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R7 unifies with R7 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> z',y -> +(x',y')}, l': +(z',+(x',y')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R7 unifies with R8 at p: [2], l: +(z,+(x,y)), lp: +(x,y), sig: {x -> z',y -> +(y',x')}, l': +(z',+(y',x')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R1 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {z -> +(x',y'),z' -> +(y,x)}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R2 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {z -> +(y',x'),z' -> +(y,x)}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R3 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {z -> +(y',z'),x' -> +(y,x)}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R4 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {z -> +(z',y'),x' -> +(y,x)}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R5 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {x -> z',y -> y',z -> x'}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R6 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {x -> y',y -> z',z -> x'}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R7 at p: [], l: +(z,+(y,x)), lp: +(z,+(y,x)), sig: {x -> y',y -> x',z -> z'}, l': +(z',+(x',y')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R1 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> z',y -> +(x',y')}, l': +(+(x',y'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R2 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> z',y -> +(y',x')}, l': +(+(y',x'),z'), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R3 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> x',y -> +(y',z')}, l': +(+(y',z'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R4 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> x',y -> +(z',y')}, l': +(+(z',y'),x'), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R5 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> +(y',z'),y -> x'}, l': +(x',+(y',z')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R6 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> +(z',y'),y -> x'}, l': +(x',+(z',y')), r: +(x,+(y,z)), r': +(+(x',y'),z'))
(R8 unifies with R7 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> +(x',y'),y -> z'}, l': +(z',+(x',y')), r: +(x,+(y,z)), r': +(x',+(y',z')))
(R8 unifies with R8 at p: [2], l: +(z,+(y,x)), lp: +(y,x), sig: {x -> +(y',x'),y -> z'}, l': +(z',+(y',x')), r: +(x,+(y,z)), r': +(x',+(y',z')))

-> Critical pairs info:
<+(x,+(x',+(y',z'))),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N1
<+(+(+(x',y'),z'),z),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N2
<+(x,+(x',+(y',z'))),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N3
<+(z,+(+(x',y'),z')),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N4
<+(z,+(x',+(y',z'))),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N5
<+(z,+(x',+(y',z'))),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N6
<+(+(+(x',y'),z'),z),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N7
<+(z,+(x',+(y',z'))),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N8
<+(x,+(x',+(y',z'))),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N9
<+(+(+(y,x),y'),z'),+(x,+(y,+(z',y')))>   =>  Not trivial, Overlay, Proper, NW0, N10
<+(+(+(x',y'),z'),z),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N11
<+(x',+(y',+(z,y))),+(+(+(y',x'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N12
<+(z,+(x',+(y',z'))),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N13
<+(+(+(x',y'),z'),z),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N14
<+(+(x',y'),z'),+(+(x',z'),y')>   =>  Not trivial, Overlay, Proper, NW0, N15
<+(+(+(y,x),y'),z'),+(x,+(y,+(y',z')))>   =>  Not trivial, Overlay, Proper, NW0, N16
<+(+(+(x,y),y'),z'),+(x,+(y,+(z',y')))>   =>  Not trivial, Overlay, Proper, NW0, N17
<+(x,+(+(x',y'),z')),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N18
<+(+(x',y'),z'),+(y',+(z',x'))>   =>  Not trivial, Overlay, Proper, NW0, N19
<+(+(x',+(y',z')),z),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N20
<+(+(+(x',y'),z'),z),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N21
<+(+(+(x',y'),z'),x),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N22
<+(z,+(+(x',y'),z')),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N23
<+(+(+(x',y'),z'),x),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N24
<+(z,+(+(x',y'),z')),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N25
<+(x,+(+(x',y'),z')),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N26
<+(+(+(x',y'),z'),z),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N27
<+(+(x',+(y',z')),x),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N28
<+(x,+(+(x',y'),z')),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N29
<+(x',+(y',z')),+(+(z',x'),y')>   =>  Not trivial, Overlay, Proper, NW0, N30
<+(z,+(+(x',y'),z')),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N31
<+(x,+(+(x',y'),z')),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N32
<+(+(x',+(y',z')),z),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N33
<+(+(+(x,y),y'),z'),+(x,+(y,+(y',z')))>   =>  Not trivial, Overlay, Proper, NW0, N34
<+(x,+(+(x',y'),z')),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N35
<+(x,+(+(x',y'),z')),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N36
<+(x',+(y',+(z,y))),+(+(+(x',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N37
<+(z,+(x',+(y',z'))),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N38
<+(z,+(x',+(y',z'))),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N39
<+(z,+(+(x',y'),z')),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N40
<+(x,+(x',+(y',z'))),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N41
<+(x,+(x',+(y',z'))),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N42
<+(+(x',+(y',z')),z),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N43
<+(+(+(x',y'),z'),x),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N44
<+(x',+(y',z')),+(y',+(x',z'))>   =>  Not trivial, Overlay, Proper, NW0, N45
<+(x',+(y',+(y,x))),+(x,+(y,+(y',x')))>   =>  Not trivial, Overlay, Proper, NW0, N46
<+(+(x',+(y',z')),z),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N47
<+(x',+(y',z')),+(+(z',y'),x')>   =>  Not trivial, Overlay, Proper, NW0, N48
<+(x,+(+(x',y'),z')),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N49
<+(x,+(x',+(y',z'))),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N50
<+(+(+(x',y'),z'),x),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N51
<+(x,+(x',+(y',z'))),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N52
<+(z,+(x',+(y',z'))),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N53
<+(x,+(+(x',y'),z')),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N54
<+(+(x',+(y',z')),z),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N55
<+(x',+(y',+(x,y))),+(x,+(y,+(x',y')))>   =>  Not trivial, Overlay, Proper, NW0, N56
<+(+(x',+(y',z')),x),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N57
<+(+(x',+(y',z')),z),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N58
<+(x',+(y',z')),+(+(z',y'),x')>   =>  Not trivial, Overlay, Proper, NW0, N59
<+(x',+(y',+(y,z))),+(+(+(y',x'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N60
<+(x',+(y',+(y,x))),+(x,+(y,+(x',y')))>   =>  Not trivial, Overlay, Proper, NW0, N61
<+(x',+(y',z')),+(+(z',x'),y')>   =>  Not trivial, Overlay, Proper, NW0, N62
<+(+(+(x',y'),z'),z),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N63
<+(z,+(+(x',y'),z')),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N64
<+(+(+(x',y'),z'),z),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N65
<+(+(x',y'),z'),+(z',+(y',x'))>   =>  Not trivial, Overlay, Proper, NW0, N66
<+(+(+(x',y'),z'),x),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N67
<+(+(x',y'),z'),+(+(x',z'),y')>   =>  Not trivial, Overlay, Proper, NW0, N68
<+(z,+(+(x',y'),z')),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N69
<+(+(+(z,y),y'),z'),+(+(+(y',z'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N70
<+(+(+(x',y'),z'),x),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N71
<+(+(x',+(y',z')),z),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N72
<+(+(x',+(y',z')),x),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N73
<+(x',+(y',z')),+(y',+(x',z'))>   =>  Not trivial, Overlay, Proper, NW0, N74
<+(x',+(y',+(y,z))),+(+(+(x',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N75
<+(+(+(x',y'),z'),x),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N76
<+(+(x',+(y',z')),x),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N77
<+(+(x',y'),z'),+(z',+(y',x'))>   =>  Not trivial, Overlay, Proper, NW0, N78
<+(+(x',+(y',z')),x),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N79
<+(+(+(x',y'),z'),x),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N80
<+(+(x',+(y',z')),z),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N81
<+(+(x',y'),z'),+(y',+(z',x'))>   =>  Not trivial, Overlay, Proper, NW0, N82
<+(x',+(y',+(x,y))),+(x,+(y,+(y',x')))>   =>  Not trivial, Overlay, Proper, NW0, N83
<+(+(x',+(y',z')),x),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N84
<+(z,+(x',+(y',z'))),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N85
<+(+(x',+(y',z')),x),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N86
<+(+(x',+(y',z')),x),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N87
<+(z,+(+(x',y'),z')),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N88
<+(+(+(y,z),y'),z'),+(+(+(z',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N89
<+(x,+(x',+(y',z'))),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N90
<+(+(+(y,z),y'),z'),+(+(+(y',z'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N91
<+(+(+(z,y),y'),z'),+(+(+(z',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N92

-> Problem conclusions:
 Left linear, Right linear, Linear
 Not weakly orthogonal, Not almost orthogonal, Not orthogonal
 Not Huet-Levy confluent, Not Newman confluent
 R is a TRS 



The problem is decomposed in 54 subproblems.

Problem 1.1: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(y,x),y'),z'),+(x,+(y,+(z',y')))>   =>  Not trivial, Overlay, Proper, NW0, N10
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(y,x),y'),z')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(+(+(y,x),y'),z')', D0)
ID: 1 => ('+(+(y,x),+(y',z'))', D1, R1, P[], S{x8 -> +(y,x), x9 -> y', x10 -> z'}), NR: '+(+(y,x),+(y',z'))'
ID: 2 => ('+(+(y,+(x,y')),z')', D1, R1, P[1], S{x8 -> y, x9 -> x, x10 -> y'}), NR: '+(y,+(x,y'))'
ID: 3 => ('+(y',+(+(y,x),z'))', D1, R2, P[], S{x11 -> y', x12 -> +(y,x), x13 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 4 => ('+(+(x,+(y,y')),z')', D1, R2, P[1], S{x11 -> x, x12 -> y, x13 -> y'}), NR: '+(x,+(y,y'))'
ID: 5 => ('+(+(z',+(y,x)),y')', D1, R3, P[], S{x14 -> z', x15 -> +(y,x), x16 -> y'}), NR: '+(+(z',+(y,x)),y')'
ID: 6 => ('+(+(+(y',y),x),z')', D1, R3, P[1], S{x14 -> y', x15 -> y, x16 -> x}), NR: '+(+(y',y),x)'
ID: 7 => ('+(+(z',y'),+(y,x))', D1, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(y,x)}), NR: '+(+(z',y'),+(y,x))'
ID: 8 => ('+(+(+(y',x),y),z')', D1, R4, P[1], S{x17 -> y', x18 -> x, x19 -> y}), NR: '+(+(y',x),y)'
ID: 9 => ('+(y,+(x,+(y',z')))', D2, R1, P[], S{x8 -> y, x9 -> x, x10 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 10 => ('+(x,+(y,+(y',z')))', D2, R2, P[], S{x11 -> x, x12 -> y, x13 -> +(y',z')}), NR: '+(x,+(y,+(y',z')))'
ID: 11 => ('+(+(+(y',z'),y),x)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> y, x16 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 12 => ('+(+(+(y',z'),x),y)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> x, x19 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 13 => ('+(+(+(y,x),z'),y')', D2, R6, P[], S{x23 -> +(y,x), x24 -> z', x25 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 14 => ('+(y',+(z',+(y,x)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 15 => ('+(z',+(y',+(y,x)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 16 => ('+(y,+(+(x,y'),z'))', D2, R1, P[], S{x8 -> y, x9 -> +(x,y'), x10 -> z'}), NR: '+(y,+(+(x,y'),z'))'
ID: 17 => ('+(+(x,y'),+(y,z'))', D2, R2, P[], S{x11 -> +(x,y'), x12 -> y, x13 -> z'}), NR: '+(+(x,y'),+(y,z'))'
ID: 18 => ('+(+(z',y),+(x,y'))', D2, R3, P[], S{x14 -> z', x15 -> y, x16 -> +(x,y')}), NR: '+(+(z',y),+(x,y'))'
ID: 19 => ('+(+(z',+(x,y')),y)', D2, R4, P[], S{x17 -> z', x18 -> +(x,y'), x19 -> y}), NR: '+(+(z',+(x,y')),y)'
ID: 20 => ('+(+(+(y,y'),x),z')', D2, R6, P[1], S{x23 -> y, x24 -> y', x25 -> x}), NR: '+(+(y,y'),x)'
ID: 21 => ('+(+(x,+(y',y)),z')', D2, R7, P[1], S{x26 -> x, x27 -> y', x28 -> y}), NR: '+(x,+(y',y))'
ID: 22 => ('+(+(y',+(x,y)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x, x31 -> y}), NR: '+(y',+(x,y))'
ID: 23 => ('+(y',+(y,+(x,z')))', D2, R1, P[2], S{x8 -> y, x9 -> x, x10 -> z'}), NR: '+(y,+(x,z'))'
ID: 24 => ('+(y',+(x,+(y,z')))', D2, R2, P[2], S{x11 -> x, x12 -> y, x13 -> z'}), NR: '+(x,+(y,z'))'
ID: 25 => ('+(y',+(+(z',y),x))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> x}), NR: '+(+(z',y),x)'
ID: 26 => ('+(y',+(+(z',x),y))', D2, R4, P[2], S{x17 -> z', x18 -> x, x19 -> y}), NR: '+(+(z',x),y)'
ID: 27 => ('+(+(y',+(y,x)),z')', D2, R5, P[], S{x20 -> y', x21 -> +(y,x), x22 -> z'}), NR: '+(+(y',+(y,x)),z')'
ID: 28 => ('+(+(y',z'),+(y,x))', D2, R6, P[], S{x23 -> y', x24 -> z', x25 -> +(y,x)}), NR: '+(+(y',z'),+(y,x))'
ID: 29 => ('+(+(y,x),+(z',y'))', D2, R7, P[], S{x26 -> +(y,x), x27 -> z', x28 -> y'}), NR: '+(+(y,x),+(z',y'))'
ID: 30 => ('+(z',+(+(y,x),y'))', D2, R8, P[], S{x29 -> z', x30 -> +(y,x), x31 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 31 => ('+(x,+(+(y,y'),z'))', D2, R1, P[], S{x8 -> x, x9 -> +(y,y'), x10 -> z'}), NR: '+(x,+(+(y,y'),z'))'
ID: 32 => ('+(+(y,y'),+(x,z'))', D2, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 33 => ('+(+(z',x),+(y,y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 34 => ('+(+(z',+(y,y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 35 => ('+(+(+(x,y),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> y, x22 -> y'}), NR: '+(+(x,y),y')'
ID: 36 => ('+(+(+(x,y'),y),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 37 => ('+(+(y,+(y',x)),z')', D2, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 38 => ('+(+(+(z',y),x),y')', D2, R5, P[1], S{x20 -> z', x21 -> y, x22 -> x}), NR: '+(+(z',y),x)'
ID: 39 => ('+(+(+(z',x),y),y')', D2, R6, P[1], S{x23 -> z', x24 -> x, x25 -> y}), NR: '+(+(z',x),y)'
ID: 40 => ('+(+(y,+(x,z')),y')', D2, R7, P[1], S{x26 -> y, x27 -> x, x28 -> z'}), NR: '+(y,+(x,z'))'
ID: 41 => ('+(+(x,+(y,z')),y')', D2, R8, P[1], S{x29 -> x, x30 -> y, x31 -> z'}), NR: '+(x,+(y,z'))'
ID: 42 => ('+(+(y',y),+(x,z'))', D2, R1, P[], S{x8 -> +(y',y), x9 -> x, x10 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 43 => ('+(x,+(+(y',y),z'))', D2, R2, P[], S{x11 -> x, x12 -> +(y',y), x13 -> z'}), NR: '+(x,+(+(y',y),z'))'
ID: 44 => ('+(+(z',+(y',y)),x)', D2, R3, P[], S{x14 -> z', x15 -> +(y',y), x16 -> x}), NR: '+(+(z',+(y',y)),x)'
ID: 45 => ('+(+(z',x),+(y',y))', D2, R4, P[], S{x17 -> z', x18 -> x, x19 -> +(y',y)}), NR: '+(+(z',x),+(y',y))'
ID: 46 => ('+(+(+(z',y'),y),x)', D2, R5, P[], S{x20 -> +(z',y'), x21 -> y, x22 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 47 => ('+(+(+(z',y'),x),y)', D2, R6, P[], S{x23 -> +(z',y'), x24 -> x, x25 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 48 => ('+(y,+(x,+(z',y')))', D2, R7, P[], S{x26 -> y, x27 -> x, x28 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 49 => ('+(x,+(y,+(z',y')))', D2, R8, P[], S{x29 -> x, x30 -> y, x31 -> +(z',y')}), NR: '+(x,+(y,+(z',y')))'
ID: 50 => ('+(+(y',x),+(y,z'))', D2, R1, P[], S{x8 -> +(y',x), x9 -> y, x10 -> z'}), NR: '+(+(y',x),+(y,z'))'
ID: 51 => ('+(y,+(+(y',x),z'))', D2, R2, P[], S{x11 -> y, x12 -> +(y',x), x13 -> z'}), NR: '+(y,+(+(y',x),z'))'
ID: 52 => ('+(+(z',+(y',x)),y)', D2, R3, P[], S{x14 -> z', x15 -> +(y',x), x16 -> y}), NR: '+(+(z',+(y',x)),y)'
ID: 53 => ('+(+(z',y),+(y',x))', D2, R4, P[], S{x17 -> z', x18 -> y, x19 -> +(y',x)}), NR: '+(+(z',y),+(y',x))'
ID: 54 => ('+(+(y,+(y',z')),x)', D3, R6, P[], S{x23 -> y, x24 -> +(y',z'), x25 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 55 => ('+(y,+(+(x,z'),y'))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 56 => ('+(x,+(+(y',z'),y))', D3, R7, P[], S{x26 -> x, x27 -> +(y',z'), x28 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 57 => ('+(y,+(y',+(z',x)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 58 => ('+(+(y',z'),+(x,y))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> x, x31 -> y}), NR: '+(+(y',z'),+(x,y))'
ID: 59 => ('+(y,+(z',+(y',x)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 60 => ('+(+(x,y),+(y',z'))', D3, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(y',z')}), NR: '+(+(x,y),+(y',z'))'
ID: 61 => ('+(+(x,+(y',z')),y)', D3, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 62 => ('+(x,+(+(y,z'),y'))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 63 => ('+(y,+(+(y',z'),x))', D3, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 64 => ('+(x,+(y',+(z',y)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 65 => ('+(x,+(z',+(y',y)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 66 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 67 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 68 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 69 => ('+(+(y',+(z',x)),y)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 70 => ('+(+(+(x,y'),z'),y)', D3, R3, P[1], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 71 => ('+(+(+(x,z'),y'),y)', D3, R4, P[1], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 72 => ('+(z',+(+(y',y),x))', D3, R5, P[2], S{x20 -> y', x21 -> y, x22 -> x}), NR: '+(+(y',y),x)'
ID: 73 => ('+(z',+(+(y',x),y))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> y}), NR: '+(+(y',x),y)'
ID: 74 => ('+(z',+(y,+(x,y')))', D3, R7, P[2], S{x26 -> y, x27 -> x, x28 -> y'}), NR: '+(y,+(x,y'))'
ID: 75 => ('+(z',+(x,+(y,y')))', D3, R8, P[2], S{x29 -> x, x30 -> y, x31 -> y'}), NR: '+(x,+(y,y'))'
ID: 76 => ('+(y,+(y',+(x,z')))', D3, R2, P[2], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 77 => ('+(y,+(+(z',x),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 78 => ('+(y,+(+(z',y'),x))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 79 => ('+(+(y,z'),+(x,y'))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(x,y')}), NR: '+(+(y,z'),+(x,y'))'
ID: 80 => ('+(+(x,y'),+(z',y))', D3, R7, P[], S{x26 -> +(x,y'), x27 -> z', x28 -> y}), NR: '+(+(x,y'),+(z',y))'
ID: 81 => ('+(z',+(+(x,y'),y))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 82 => ('+(x,+(y',+(y,z')))', D3, R1, P[], S{x8 -> x, x9 -> y', x10 -> +(y,z')}), NR: '+(x,+(y',+(y,z')))'
ID: 83 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 84 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 85 => ('+(+(+(z',y),y'),x)', D3, R6, P[], S{x23 -> +(z',y), x24 -> y', x25 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 86 => ('+(y',+(x,+(z',y)))', D3, R8, P[], S{x29 -> y', x30 -> x, x31 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 87 => ('+(+(+(z',x),y'),y)', D3, R5, P[1], S{x20 -> z', x21 -> x, x22 -> y'}), NR: '+(+(z',x),y')'
ID: 88 => ('+(+(y',+(x,z')),y)', D3, R8, P[1], S{x29 -> y', x30 -> x, x31 -> z'}), NR: '+(y',+(x,z'))'
ID: 89 => ('+(y',+(+(x,y),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x,y), x10 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 90 => ('+(+(z',y'),+(x,y))', D3, R3, P[], S{x14 -> z', x15 -> y', x16 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 91 => ('+(+(z',+(x,y)),y')', D3, R4, P[], S{x17 -> z', x18 -> +(x,y), x19 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 92 => ('+(y',+(+(y,z'),x))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> x}), NR: '+(+(y,z'),x)'
ID: 93 => ('+(+(x,z'),+(y,y'))', D3, R8, P[], S{x29 -> +(x,z'), x30 -> y, x31 -> y'}), NR: '+(+(x,z'),+(y,y'))'
ID: 94 => ('+(y',+(z',+(x,y)))', D3, R8, P[2], S{x29 -> z', x30 -> x, x31 -> y}), NR: '+(z',+(x,y))'
ID: 95 => ('+(+(y',+(y,z')),x)', D3, R6, P[], S{x23 -> y', x24 -> +(y,z'), x25 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 96 => ('+(y',+(+(x,z'),y))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 97 => ('+(y',+(y,+(z',x)))', D3, R7, P[2], S{x26 -> y, x27 -> z', x28 -> x}), NR: '+(y,+(z',x))'
ID: 98 => ('+(+(y',x),+(z',y))', D3, R6, P[], S{x23 -> y', x24 -> x, x25 -> +(z',y)}), NR: '+(+(y',x),+(z',y))'
ID: 99 => ('+(x,+(+(z',y),y'))', D3, R8, P[], S{x29 -> x, x30 -> +(z',y), x31 -> y'}), NR: '+(x,+(+(z',y),y'))'
ID: 100 => ('+(+(y',y),+(z',x))', D3, R6, P[], S{x23 -> y', x24 -> y, x25 -> +(z',x)}), NR: '+(+(y',y),+(z',x))'
ID: 101 => ('+(x,+(+(z',y'),y))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 102 => ('+(+(y,y'),+(z',x))', D3, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 103 => ('+(z',+(+(y,y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 104 => ('+(+(+(x,z'),y),y')', D3, R3, P[], S{x14 -> +(x,z'), x15 -> y, x16 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 105 => ('+(x,+(z',+(y,y')))', D3, R7, P[], S{x26 -> x, x27 -> z', x28 -> +(y,y')}), NR: '+(x,+(z',+(y,y')))'
ID: 106 => ('+(+(y,+(z',x)),y')', D3, R2, P[1], S{x11 -> y, x12 -> z', x13 -> x}), NR: '+(y,+(z',x))'
ID: 107 => ('+(+(+(x,y),z'),y')', D3, R4, P[1], S{x17 -> x, x18 -> y, x19 -> z'}), NR: '+(+(x,y),z')'
ID: 108 => ('+(+(x,+(z',y)),y')', D3, R2, P[1], S{x11 -> x, x12 -> z', x13 -> y}), NR: '+(x,+(z',y))'
ID: 109 => ('+(+(+(y',y),z'),x)', D3, R6, P[], S{x23 -> +(y',y), x24 -> z', x25 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 110 => ('+(z',+(x,+(y',y)))', D3, R8, P[], S{x29 -> z', x30 -> x, x31 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 111 => ('+(+(x,z'),+(y',y))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 112 => ('+(+(x,+(z',y')),y)', D3, R3, P[], S{x14 -> x, x15 -> +(z',y'), x16 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 113 => ('+(+(x,y),+(z',y'))', D3, R4, P[], S{x17 -> x, x18 -> y, x19 -> +(z',y')}), NR: '+(+(x,y),+(z',y'))'
ID: 114 => ('+(+(y,+(z',y')),x)', D3, R3, P[], S{x14 -> y, x15 -> +(z',y'), x16 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 115 => ('+(+(+(y',x),z'),y)', D3, R6, P[], S{x23 -> +(y',x), x24 -> z', x25 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 116 => ('+(z',+(y,+(y',x)))', D3, R8, P[], S{x29 -> z', x30 -> y, x31 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 117 => ('+(+(y,z'),+(y',x))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(y',x)}), NR: '+(+(y,z'),+(y',x))'
ID: 118 => ('+(z',+(y',+(x,y)))', D4, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 119 => ('+(z',+(+(x,y),y'))', D4, R4, P[2], S{x17 -> x, x18 -> y, x19 -> y'}), NR: '+(+(x,y),y')'
t: +(x,+(y,+(z',y')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(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ID: 0 => ('+(x,+(y,+(z',y')))', D0)
ID: 1 => ('+(+(x,y),+(z',y'))', D1, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(z',y')}), NR: '+(+(x,y),+(z',y'))'
ID: 2 => ('+(x,+(+(y,z'),y'))', D1, R5, P[2], S{x20 -> y, x21 -> z', x22 -> y'}), NR: '+(+(y,z'),y')'
ID: 3 => ('+(+(x,+(z',y')),y)', D1, R6, P[], S{x23 -> x, x24 -> +(z',y'), x25 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 4 => ('+(x,+(+(y,y'),z'))', D1, R6, P[2], S{x23 -> y, x24 -> y', x25 -> z'}), NR: '+(+(y,y'),z')'
ID: 5 => ('+(y,+(+(z',y'),x))', D1, R7, P[], S{x26 -> y, x27 -> +(z',y'), x28 -> x}), NR: '+(y,+(+(z',y'),x))'
ID: 6 => ('+(x,+(z',+(y',y)))', D1, R7, P[2], S{x26 -> z', x27 -> y', x28 -> y}), NR: '+(z',+(y',y))'
ID: 7 => ('+(+(z',y'),+(y,x))', D1, R8, P[], S{x29 -> +(z',y'), x30 -> y, x31 -> x}), NR: '+(+(z',y'),+(y,x))'
ID: 8 => ('+(x,+(y',+(z',y)))', D1, R8, P[2], S{x29 -> y', x30 -> z', x31 -> y}), NR: '+(y',+(z',y))'
ID: 9 => ('+(y,+(x,+(z',y')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 10 => ('+(+(+(z',y'),x),y)', D2, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 11 => ('+(+(+(z',y'),y),x)', D2, R4, P[], S{x17 -> +(z',y'), x18 -> y, x19 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 12 => ('+(+(+(x,y),z'),y')', D2, R5, P[], S{x20 -> +(x,y), x21 -> z', x22 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 13 => ('+(+(+(x,y),y'),z')', D2, R6, P[], S{x23 -> +(x,y), x24 -> y', x25 -> z'}), NR: '+(+(+(x,y),y'),z')'
ID: 14 => ('+(z',+(y',+(x,y)))', D2, R7, P[], S{x26 -> z', x27 -> y', x28 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 15 => ('+(y',+(z',+(x,y)))', D2, R8, P[], S{x29 -> y', x30 -> z', x31 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 16 => ('+(x,+(z',+(y,y')))', D2, R2, P[2], S{x11 -> z', x12 -> y, x13 -> y'}), NR: '+(z',+(y,y'))'
ID: 17 => ('+(x,+(+(y',y),z'))', D2, R3, P[2], S{x14 -> y', x15 -> y, x16 -> z'}), NR: '+(+(y',y),z')'
ID: 18 => ('+(x,+(+(y',z'),y))', D2, R4, P[2], S{x17 -> y', x18 -> z', x19 -> y}), NR: '+(+(y',z'),y)'
ID: 19 => ('+(+(x,+(y,z')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(y,z'), x22 -> y'}), NR: '+(+(x,+(y,z')),y')'
ID: 20 => ('+(+(x,y'),+(y,z'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(y,z')}), NR: '+(+(x,y'),+(y,z'))'
ID: 21 => ('+(+(y,z'),+(y',x))', D2, R7, P[], S{x26 -> +(y,z'), x27 -> y', x28 -> x}), NR: '+(+(y,z'),+(y',x))'
ID: 22 => ('+(y',+(+(y,z'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(y,z'), x31 -> x}), NR: '+(y',+(+(y,z'),x))'
ID: 23 => ('+(x,+(+(z',y'),y))', D2, R1, P[], S{x8 -> x, x9 -> +(z',y'), x10 -> y}), NR: '+(x,+(+(z',y'),y))'
ID: 24 => ('+(+(z',y'),+(x,y))', D2, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> y}), NR: '+(+(z',y'),+(x,y))'
ID: 25 => ('+(+(y,x),+(z',y'))', D2, R3, P[], S{x14 -> y, x15 -> x, x16 -> +(z',y')}), NR: '+(+(y,x),+(z',y'))'
ID: 26 => ('+(+(y,+(z',y')),x)', D2, R4, P[], S{x17 -> y, x18 -> +(z',y'), x19 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 27 => ('+(+(+(x,z'),y'),y)', D2, R5, P[1], S{x20 -> x, x21 -> z', x22 -> y'}), NR: '+(+(x,z'),y')'
ID: 28 => ('+(+(+(x,y'),z'),y)', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> z'}), NR: '+(+(x,y'),z')'
ID: 29 => ('+(+(z',+(y',x)),y)', D2, R7, P[1], S{x26 -> z', x27 -> y', x28 -> x}), NR: '+(z',+(y',x))'
ID: 30 => ('+(+(y',+(z',x)),y)', D2, R8, P[1], S{x29 -> y', x30 -> z', x31 -> x}), NR: '+(y',+(z',x))'
ID: 31 => ('+(x,+(y,+(y',z')))', D2, R1, P[2], S{x8 -> y, x9 -> y', x10 -> z'}), NR: '+(y,+(y',z'))'
ID: 32 => ('+(x,+(y',+(y,z')))', D2, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 33 => ('+(x,+(+(z',y),y'))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 34 => ('+(+(x,+(y,y')),z')', D2, R5, P[], S{x20 -> x, x21 -> +(y,y'), x22 -> z'}), NR: '+(+(x,+(y,y')),z')'
ID: 35 => ('+(+(x,z'),+(y,y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 36 => ('+(+(y,y'),+(z',x))', D2, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 37 => ('+(z',+(+(y,y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 38 => ('+(y,+(z',+(y',x)))', D2, R1, P[2], S{x8 -> z', x9 -> y', x10 -> x}), NR: '+(z',+(y',x))'
ID: 39 => ('+(y,+(y',+(z',x)))', D2, R2, P[2], S{x11 -> y', x12 -> z', x13 -> x}), NR: '+(y',+(z',x))'
ID: 40 => ('+(y,+(+(x,z'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> z', x16 -> y'}), NR: '+(+(x,z'),y')'
ID: 41 => ('+(y,+(+(x,y'),z'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> z'}), NR: '+(+(x,y'),z')'
ID: 42 => ('+(+(x,z'),+(y',y))', D2, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 43 => ('+(+(x,+(y',y)),z')', D2, R6, P[], S{x23 -> x, x24 -> +(y',y), x25 -> z'}), NR: '+(+(x,+(y',y)),z')'
ID: 44 => ('+(z',+(+(y',y),x))', D2, R7, P[], S{x26 -> z', x27 -> +(y',y), x28 -> x}), NR: '+(z',+(+(y',y),x))'
ID: 45 => ('+(+(y',y),+(z',x))', D2, R8, P[], S{x29 -> +(y',y), x30 -> z', x31 -> x}), NR: '+(+(y',y),+(z',x))'
ID: 46 => ('+(z',+(y',+(y,x)))', D2, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 47 => ('+(y',+(z',+(y,x)))', D2, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 48 => ('+(+(+(y,x),z'),y')', D2, R3, P[], S{x14 -> +(y,x), x15 -> z', x16 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 49 => ('+(+(+(y,x),y'),z')', D2, R4, P[], S{x17 -> +(y,x), x18 -> y', x19 -> z'}), NR: '+(+(+(y,x),y'),z')'
ID: 50 => ('+(+(x,y'),+(z',y))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',y)}), NR: '+(+(x,y'),+(z',y))'
ID: 51 => ('+(+(x,+(z',y)),y')', D2, R6, P[], S{x23 -> x, x24 -> +(z',y), x25 -> y'}), NR: '+(+(x,+(z',y)),y')'
ID: 52 => ('+(y',+(+(z',y),x))', D2, R7, P[], S{x26 -> y', x27 -> +(z',y), x28 -> x}), NR: '+(y',+(+(z',y),x))'
ID: 53 => ('+(+(z',y),+(y',x))', D2, R8, P[], S{x29 -> +(z',y), x30 -> y', x31 -> x}), NR: '+(+(z',y),+(y',x))'
ID: 54 => ('+(+(z',+(y',y)),x)', D3, R1, P[1], S{x8 -> z', x9 -> y', x10 -> y}), NR: '+(z',+(y',y))'
ID: 55 => ('+(+(y',+(z',y)),x)', D3, R2, P[1], S{x11 -> y', x12 -> z', x13 -> y}), NR: '+(y',+(z',y))'
ID: 56 => ('+(+(+(y,z'),y'),x)', D3, R3, P[1], S{x14 -> y, x15 -> z', x16 -> y'}), NR: '+(+(y,z'),y')'
ID: 57 => ('+(+(+(y,y'),z'),x)', D3, R4, P[1], S{x17 -> y, x18 -> y', x19 -> z'}), NR: '+(+(y,y'),z')'
ID: 58 => ('+(z',+(+(x,y),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y), x13 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 59 => ('+(+(y,+(x,z')),y')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 60 => ('+(+(y',+(x,y)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x,y), x16 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 61 => ('+(+(+(z',x),y),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 62 => ('+(+(y',z'),+(x,y))', D3, R4, P[], S{x17 -> y', x18 -> z', x19 -> +(x,y)}), NR: '+(+(y',z'),+(x,y))'
ID: 63 => ('+(+(+(z',y),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 64 => ('+(+(x,y),+(y',z'))', D3, R1, P[], S{x8 -> +(x,y), x9 -> y', x10 -> z'}), NR: '+(+(x,y),+(y',z'))'
ID: 65 => ('+(y',+(+(x,y),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 66 => ('+(+(y,+(x,y')),z')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 67 => ('+(+(z',+(x,y)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 68 => ('+(+(+(y',x),y),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 69 => ('+(+(+(y',y),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 70 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 71 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 72 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 73 => ('+(y',+(+(z',x),y))', D3, R5, P[2], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 74 => ('+(y',+(x,+(y,z')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 75 => ('+(y',+(y,+(x,z')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 76 => ('+(+(x,+(y',z')),y)', D3, R5, P[], S{x20 -> x, x21 -> +(y',z'), x22 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 77 => ('+(+(y',z'),+(y,x))', D3, R7, P[], S{x26 -> +(y',z'), x27 -> y, x28 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 78 => ('+(y,+(+(y',z'),x))', D3, R8, P[], S{x29 -> y, x30 -> +(y',z'), x31 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 79 => ('+(+(y,z'),+(x,y'))', D3, R2, P[], S{x11 -> +(y,z'), x12 -> x, x13 -> y'}), NR: '+(+(y,z'),+(x,y'))'
ID: 80 => ('+(+(y',x),+(y,z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(y,z')}), NR: '+(+(y',x),+(y,z'))'
ID: 81 => ('+(+(y',+(y,z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(y,z'), x19 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 82 => ('+(+(+(x,z'),y),y')', D3, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 83 => ('+(+(y,+(z',x)),y')', D3, R7, P[1], S{x26 -> y, x27 -> z', x28 -> x}), NR: '+(y,+(z',x))'
ID: 84 => ('+(+(z',+(y,x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 85 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 86 => ('+(+(+(x,y'),y),z')', D3, R5, P[], S{x20 -> +(x,y'), x21 -> y, x22 -> z'}), NR: '+(+(+(x,y'),y),z')'
ID: 87 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 88 => ('+(z',+(y,+(y',x)))', D3, R2, P[], S{x11 -> z', x12 -> y, x13 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 89 => ('+(+(+(y',x),z'),y)', D3, R4, P[], S{x17 -> +(y',x), x18 -> z', x19 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 90 => ('+(y',+(y,+(z',x)))', D3, R1, P[2], S{x8 -> y, x9 -> z', x10 -> x}), NR: '+(y,+(z',x))'
ID: 91 => ('+(y',+(+(x,z'),y))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y}), NR: '+(+(x,z'),y)'
ID: 92 => ('+(+(z',+(x,y')),y)', D3, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 93 => ('+(+(y,y'),+(x,z'))', D3, R4, P[], S{x17 -> y, x18 -> y', x19 -> +(x,z')}), NR: '+(+(y,y'),+(x,z'))'
ID: 94 => ('+(+(+(y',z'),x),y)', D3, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x}), NR: '+(+(y',z'),x)'
ID: 95 => ('+(z',+(+(x,y'),y))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y'), x13 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 96 => ('+(+(y',+(x,z')),y)', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 97 => ('+(+(+(z',x),y'),y)', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 98 => ('+(+(y',x),+(z',y))', D3, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> y}), NR: '+(+(y',x),+(z',y))'
ID: 99 => ('+(+(y,+(y',x)),z')', D3, R4, P[], S{x17 -> y, x18 -> +(y',x), x19 -> z'}), NR: '+(+(y,+(y',x)),z')'
ID: 100 => ('+(+(z',x),+(y',y))', D3, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> y}), NR: '+(+(z',x),+(y',y))'
ID: 101 => ('+(+(z',x),+(y,y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 102 => ('+(+(z',+(y,y')),x)', D3, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 103 => ('+(+(y',+(y,x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 104 => ('+(+(+(y,y'),x),z')', D3, R3, P[], S{x14 -> +(y,y'), x15 -> x, x16 -> z'}), NR: '+(+(+(y,y'),x),z')'
ID: 105 => ('+(y,+(y',+(x,z')))', D3, R7, P[], S{x26 -> y, x27 -> y', x28 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 106 => ('+(y,+(+(z',x),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 107 => ('+(y,+(x,+(y',z')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> z'}), NR: '+(x,+(y',z'))'
ID: 108 => ('+(y,+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 109 => ('+(z',+(x,+(y',y)))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 110 => ('+(+(+(y',y),z'),x)', D3, R4, P[], S{x17 -> +(y',y), x18 -> z', x19 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 111 => ('+(+(y',y),+(x,z'))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x, x13 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 112 => ('+(y',+(+(y,x),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 113 => ('+(+(y,x),+(y',z'))', D3, R8, P[], S{x29 -> +(y,x), x30 -> y', x31 -> z'}), NR: '+(+(y,x),+(y',z'))'
ID: 114 => ('+(z',+(+(y,x),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(y,x), x28 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 115 => ('+(y',+(x,+(z',y)))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 116 => ('+(+(+(z',y),y'),x)', D3, R4, P[], S{x17 -> +(z',y), x18 -> y', x19 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 117 => ('+(+(z',y),+(x,y'))', D3, R2, P[], S{x11 -> +(z',y), x12 -> x, x13 -> y'}), NR: '+(+(z',y),+(x,y'))'
ID: 118 => ('+(+(y,+(y',z')),x)', D4, R8, P[1], S{x29 -> y, x30 -> y', x31 -> z'}), NR: '+(y,+(y',z'))'
ID: 119 => ('+(+(+(y',z'),y),x)', D4, R5, P[1], S{x20 -> y', x21 -> z', x22 -> y}), NR: '+(+(y',z'),y)'
SNodesPath1: +(+(+(y,x),y'),z')
TNodesPath1: +(x,+(y,+(z',y'))) -> +(+(x,y),+(z',y')) -> +(y,+(x,+(z',y'))) -> +(x,+(+(z',y'),y)) -> +(x,+(+(y,z'),y')) -> +(x,+(z',+(y,y'))) -> +(x,+(y,+(y',z'))) -> +(x,+(+(y,y'),z')) -> +(x,+(y',+(y,z'))) -> +(x,+(+(y',y),z')) -> +(x,+(+(z',y),y')) -> +(x,+(+(y',z'),y)) -> +(x,+(z',+(y',y))) -> +(+(x,z'),+(y',y)) -> +(+(+(x,z'),y'),y) -> +(+(x,+(z',y')),y) -> +(+(z',y'),+(x,y)) -> +(+(+(z',y'),x),y) -> +(+(y,x),+(z',y')) -> +(+(+(z',y'),y),x) -> +(y,+(+(z',y'),x)) -> +(+(y,+(z',y')),x) -> +(+(z',y'),+(y,x)) -> +(z',+(y',+(y,x))) -> +(z',+(+(y',y),x)) -> +(+(z',+(y',y)),x) -> +(+(x,+(y',y)),z') -> +(+(+(x,y),y'),z') -> +(+(x,+(y,y')),z') -> +(+(+(x,y'),y),z') -> +(+(x,y'),+(y,z')) -> +(+(+(x,y'),z'),y) -> +(+(x,y'),+(z',y)) -> +(x,+(y',+(z',y))) -> +(+(x,+(z',y)),y') -> +(+(+(x,y),z'),y') -> +(+(x,+(y,z')),y') -> +(+(y,z'),+(x,y')) -> +(+(+(y,z'),y'),x) -> +(+(y,z'),+(y',x)) -> +(y,+(z',+(y',x))) -> +(z',+(+(y',x),y)) -> +(z',+(y',+(x,y))) -> +(+(x,y),+(y',z')) -> +(y',+(z',+(x,y))) -> +(y',+(+(z',y),x)) -> +(y',+(z',+(y,x))) -> +(y',+(+(z',x),y)) -> +(y',+(+(y,z'),x)) -> +(y',+(+(x,y),z')) -> +(z',+(+(x,y),y')) -> +(+(z',+(x,y)),y') -> +(+(y,+(x,z')),y') -> +(+(x,z'),+(y,y')) -> +(+(+(y,y'),z'),x) -> +(+(y,y'),+(z',x)) -> +(y,+(y',+(z',x))) -> +(y,+(+(y',z'),x)) -> +(y,+(+(x,z'),y')) -> +(y,+(z',+(x,y'))) -> +(+(y,+(x,y')),z') -> +(y,+(+(x,y'),z')) -> +(z',+(+(x,y'),y)) -> +(z',+(+(y,y'),x)) -> +(z',+(y,+(y',x))) -> +(+(z',+(y',x)),y) -> +(+(x,+(y',z')),y) -> +(+(y',+(z',x)),y) -> +(+(y,+(z',x)),y') -> +(+(y',y),+(z',x)) -> +(+(+(z',x),y),y') -> +(+(+(y,x),z'),y') -> +(+(+(z',y),x),y') -> +(+(y',+(z',y)),x) -> +(+(z',y),+(y',x)) -> +(+(+(y',x),y),z') -> +(+(+(y,x),y'),z')
SNodesPath2: +(+(+(y,x),y'),z') -> +(+(y,x),+(y',z')) -> +(y,+(x,+(y',z'))) -> +(y,+(+(x,y'),z')) -> +(+(y,+(x,y')),z') -> +(+(x,y'),+(y,z')) -> +(y',+(x,+(y,z'))) -> +(y',+(z',+(y,x))) -> +(y',+(y,+(x,z'))) -> +(y',+(+(y,x),z')) -> +(y',+(+(z',y),x)) -> +(+(z',y),+(x,y')) -> +(+(+(x,y'),y),z') -> +(+(z',+(x,y')),y) -> +(+(+(z',y'),x),y) -> +(+(y,x),+(z',y')) -> +(+(+(y,x),z'),y') -> +(+(y',+(y,x)),z') -> +(+(x,+(y,y')),z') -> +(x,+(+(y,y'),z')) -> +(x,+(y,+(y',z'))) -> +(+(y',z'),+(y,x)) -> +(+(+(y',z'),y),x) -> +(+(z',+(y',y)),x) -> +(+(x,+(y',y)),z') -> +(+(+(x,y),y'),z') -> +(+(+(y',y),x),z') -> +(+(y,+(y',x)),z') -> +(+(+(y,y'),x),z') -> +(+(y,y'),+(x,z')) -> +(+(+(y,y'),z'),x) -> +(+(+(z',y'),y),x) -> +(+(z',y'),+(y,x)) -> +(z',+(y',+(y,x))) -> +(+(z',+(y,x)),y') -> +(z',+(+(y,x),y')) -> +(z',+(+(y',y),x)) -> +(+(y',y),+(x,z')) -> +(x,+(z',+(y',y))) -> +(x,+(y',+(y,z'))) -> +(+(x,+(y,z')),y') -> +(+(y',x),+(y,z')) -> +(+(+(y',x),y),z') -> +(+(y',+(x,y)),z') -> +(+(x,y),+(y',z')) -> +(+(+(y',z'),x),y) -> +(+(z',+(y',x)),y) -> +(+(x,+(y',z')),y) -> +(+(y,+(y',z')),x) -> +(y,+(+(y',z'),x)) -> +(y,+(+(x,z'),y')) -> +(+(y,+(x,z')),y') -> +(+(+(y,z'),x),y') -> +(x,+(+(y,z'),y')) -> +(x,+(+(y',y),z')) -> +(x,+(+(z',y),y')) -> +(x,+(y,+(z',y')))
TNodesPath2: +(x,+(y,+(z',y')))
+(+(+(y,x),y'),z') ->= +(+(+(y,x),y'),z') *<- +(x,+(y,+(z',y')))
+(x,+(y,+(z',y'))) ->= +(x,+(y,+(z',y'))) *<- +(+(+(y,x),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.2: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(z,y))),+(+(+(y',x'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N12
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(z,y)))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(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ID: 0 => ('+(x',+(y',+(z,y)))', D0)
ID: 1 => ('+(+(x',y'),+(z,y))', D1, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(z,y)}), NR: '+(+(x',y'),+(z,y))'
ID: 2 => ('+(x',+(+(y',z),y))', D1, R5, P[2], S{x20 -> y', x21 -> z, x22 -> y}), NR: '+(+(y',z),y)'
ID: 3 => ('+(+(x',+(z,y)),y')', D1, R6, P[], S{x23 -> x', x24 -> +(z,y), x25 -> y'}), NR: '+(+(x',+(z,y)),y')'
ID: 4 => ('+(x',+(+(y',y),z))', D1, R6, P[2], S{x23 -> y', x24 -> y, x25 -> z}), NR: '+(+(y',y),z)'
ID: 5 => ('+(y',+(+(z,y),x'))', D1, R7, P[], S{x26 -> y', x27 -> +(z,y), x28 -> x'}), NR: '+(y',+(+(z,y),x'))'
ID: 6 => ('+(x',+(z,+(y,y')))', D1, R7, P[2], S{x26 -> z, x27 -> y, x28 -> y'}), NR: '+(z,+(y,y'))'
ID: 7 => ('+(+(z,y),+(y',x'))', D1, R8, P[], S{x29 -> +(z,y), x30 -> y', x31 -> x'}), NR: '+(+(z,y),+(y',x'))'
ID: 8 => ('+(x',+(y,+(z,y')))', D1, R8, P[2], S{x29 -> y, x30 -> z, x31 -> y'}), NR: '+(y,+(z,y'))'
ID: 9 => ('+(y',+(x',+(z,y)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z,y)}), NR: '+(y',+(x',+(z,y)))'
ID: 10 => ('+(+(+(z,y),x'),y')', D2, R3, P[], S{x14 -> +(z,y), x15 -> x', x16 -> y'}), NR: '+(+(+(z,y),x'),y')'
ID: 11 => ('+(+(+(z,y),y'),x')', D2, R4, P[], S{x17 -> +(z,y), x18 -> y', x19 -> x'}), NR: '+(+(+(z,y),y'),x')'
ID: 12 => ('+(+(+(x',y'),z),y)', D2, R5, P[], S{x20 -> +(x',y'), x21 -> z, x22 -> y}), NR: '+(+(+(x',y'),z),y)'
ID: 13 => ('+(+(+(x',y'),y),z)', D2, R6, P[], S{x23 -> +(x',y'), x24 -> y, x25 -> z}), NR: '+(+(+(x',y'),y),z)'
ID: 14 => ('+(z,+(y,+(x',y')))', D2, R7, P[], S{x26 -> z, x27 -> y, x28 -> +(x',y')}), NR: '+(z,+(y,+(x',y')))'
ID: 15 => ('+(y,+(z,+(x',y')))', D2, R8, P[], S{x29 -> y, x30 -> z, x31 -> +(x',y')}), NR: '+(y,+(z,+(x',y')))'
ID: 16 => ('+(x',+(z,+(y',y)))', D2, R2, P[2], S{x11 -> z, x12 -> y', x13 -> y}), NR: '+(z,+(y',y))'
ID: 17 => ('+(x',+(+(y,y'),z))', D2, R3, P[2], S{x14 -> y, x15 -> y', x16 -> z}), NR: '+(+(y,y'),z)'
ID: 18 => ('+(x',+(+(y,z),y'))', D2, R4, P[2], S{x17 -> y, x18 -> z, x19 -> y'}), NR: '+(+(y,z),y')'
ID: 19 => ('+(+(x',+(y',z)),y)', D2, R5, P[], S{x20 -> x', x21 -> +(y',z), x22 -> y}), NR: '+(+(x',+(y',z)),y)'
ID: 20 => ('+(+(x',y),+(y',z))', D2, R6, P[], S{x23 -> x', x24 -> y, x25 -> +(y',z)}), NR: '+(+(x',y),+(y',z))'
ID: 21 => ('+(+(y',z),+(y,x'))', D2, R7, P[], S{x26 -> +(y',z), x27 -> y, x28 -> x'}), NR: '+(+(y',z),+(y,x'))'
ID: 22 => ('+(y,+(+(y',z),x'))', D2, R8, P[], S{x29 -> y, x30 -> +(y',z), x31 -> x'}), NR: '+(y,+(+(y',z),x'))'
ID: 23 => ('+(x',+(+(z,y),y'))', D2, R1, P[], S{x8 -> x', x9 -> +(z,y), x10 -> y'}), NR: '+(x',+(+(z,y),y'))'
ID: 24 => ('+(+(z,y),+(x',y'))', D2, R2, P[], S{x11 -> +(z,y), x12 -> x', x13 -> y'}), NR: '+(+(z,y),+(x',y'))'
ID: 25 => ('+(+(y',x'),+(z,y))', D2, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z,y)}), NR: '+(+(y',x'),+(z,y))'
ID: 26 => ('+(+(y',+(z,y)),x')', D2, R4, P[], S{x17 -> y', x18 -> +(z,y), x19 -> x'}), NR: '+(+(y',+(z,y)),x')'
ID: 27 => ('+(+(+(x',z),y),y')', D2, R5, P[1], S{x20 -> x', x21 -> z, x22 -> y}), NR: '+(+(x',z),y)'
ID: 28 => ('+(+(+(x',y),z),y')', D2, R6, P[1], S{x23 -> x', x24 -> y, x25 -> z}), NR: '+(+(x',y),z)'
ID: 29 => ('+(+(z,+(y,x')),y')', D2, R7, P[1], S{x26 -> z, x27 -> y, x28 -> x'}), NR: '+(z,+(y,x'))'
ID: 30 => ('+(+(y,+(z,x')),y')', D2, R8, P[1], S{x29 -> y, x30 -> z, x31 -> x'}), NR: '+(y,+(z,x'))'
ID: 31 => ('+(x',+(y',+(y,z)))', D2, R1, P[2], S{x8 -> y', x9 -> y, x10 -> z}), NR: '+(y',+(y,z))'
ID: 32 => ('+(x',+(y,+(y',z)))', D2, R2, P[2], S{x11 -> y, x12 -> y', x13 -> z}), NR: '+(y,+(y',z))'
ID: 33 => ('+(x',+(+(z,y'),y))', D2, R3, P[2], S{x14 -> z, x15 -> y', x16 -> y}), NR: '+(+(z,y'),y)'
ID: 34 => ('+(+(x',+(y',y)),z)', D2, R5, P[], S{x20 -> x', x21 -> +(y',y), x22 -> z}), NR: '+(+(x',+(y',y)),z)'
ID: 35 => ('+(+(x',z),+(y',y))', D2, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',y)}), NR: '+(+(x',z),+(y',y))'
ID: 36 => ('+(+(y',y),+(z,x'))', D2, R7, P[], S{x26 -> +(y',y), x27 -> z, x28 -> x'}), NR: '+(+(y',y),+(z,x'))'
ID: 37 => ('+(z,+(+(y',y),x'))', D2, R8, P[], S{x29 -> z, x30 -> +(y',y), x31 -> x'}), NR: '+(z,+(+(y',y),x'))'
ID: 38 => ('+(y',+(z,+(y,x')))', D2, R1, P[2], S{x8 -> z, x9 -> y, x10 -> x'}), NR: '+(z,+(y,x'))'
ID: 39 => ('+(y',+(y,+(z,x')))', D2, R2, P[2], S{x11 -> y, x12 -> z, x13 -> x'}), NR: '+(y,+(z,x'))'
ID: 40 => ('+(y',+(+(x',z),y))', D2, R3, P[2], S{x14 -> x', x15 -> z, x16 -> y}), NR: '+(+(x',z),y)'
ID: 41 => ('+(y',+(+(x',y),z))', D2, R4, P[2], S{x17 -> x', x18 -> y, x19 -> z}), NR: '+(+(x',y),z)'
ID: 42 => ('+(+(x',z),+(y,y'))', D2, R5, P[], S{x20 -> x', x21 -> z, x22 -> +(y,y')}), NR: '+(+(x',z),+(y,y'))'
ID: 43 => ('+(+(x',+(y,y')),z)', D2, R6, P[], S{x23 -> x', x24 -> +(y,y'), x25 -> z}), NR: '+(+(x',+(y,y')),z)'
ID: 44 => ('+(z,+(+(y,y'),x'))', D2, R7, P[], S{x26 -> z, x27 -> +(y,y'), x28 -> x'}), NR: '+(z,+(+(y,y'),x'))'
ID: 45 => ('+(+(y,y'),+(z,x'))', D2, R8, P[], S{x29 -> +(y,y'), x30 -> z, x31 -> x'}), NR: '+(+(y,y'),+(z,x'))'
ID: 46 => ('+(z,+(y,+(y',x')))', D2, R1, P[], S{x8 -> z, x9 -> y, x10 -> +(y',x')}), NR: '+(z,+(y,+(y',x')))'
ID: 47 => ('+(y,+(z,+(y',x')))', D2, R2, P[], S{x11 -> y, x12 -> z, x13 -> +(y',x')}), NR: '+(y,+(z,+(y',x')))'
ID: 48 => ('+(+(+(y',x'),z),y)', D2, R3, P[], S{x14 -> +(y',x'), x15 -> z, x16 -> y}), NR: '+(+(+(y',x'),z),y)'
ID: 49 => ('+(+(+(y',x'),y),z)', D2, R4, P[], S{x17 -> +(y',x'), x18 -> y, x19 -> z}), NR: '+(+(+(y',x'),y),z)'
ID: 50 => ('+(+(x',y),+(z,y'))', D2, R5, P[], S{x20 -> x', x21 -> y, x22 -> +(z,y')}), NR: '+(+(x',y),+(z,y'))'
ID: 51 => ('+(+(x',+(z,y')),y)', D2, R6, P[], S{x23 -> x', x24 -> +(z,y'), x25 -> y}), NR: '+(+(x',+(z,y')),y)'
ID: 52 => ('+(y,+(+(z,y'),x'))', D2, R7, P[], S{x26 -> y, x27 -> +(z,y'), x28 -> x'}), NR: '+(y,+(+(z,y'),x'))'
ID: 53 => ('+(+(z,y'),+(y,x'))', D2, R8, P[], S{x29 -> +(z,y'), x30 -> y, x31 -> x'}), NR: '+(+(z,y'),+(y,x'))'
ID: 54 => ('+(+(z,+(y,y')),x')', D3, R1, P[1], S{x8 -> z, x9 -> y, x10 -> y'}), NR: '+(z,+(y,y'))'
ID: 55 => ('+(+(y,+(z,y')),x')', D3, R2, P[1], S{x11 -> y, x12 -> z, x13 -> y'}), NR: '+(y,+(z,y'))'
ID: 56 => ('+(+(+(y',z),y),x')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> y}), NR: '+(+(y',z),y)'
ID: 57 => ('+(+(+(y',y),z),x')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> z}), NR: '+(+(y',y),z)'
ID: 58 => ('+(z,+(+(x',y'),y))', D3, R2, P[], S{x11 -> z, x12 -> +(x',y'), x13 -> y}), NR: '+(z,+(+(x',y'),y))'
ID: 59 => ('+(+(y',+(x',z)),y)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 60 => ('+(+(y,+(x',y')),z)', D3, R3, P[], S{x14 -> y, x15 -> +(x',y'), x16 -> z}), NR: '+(+(y,+(x',y')),z)'
ID: 61 => ('+(+(+(z,x'),y'),y)', D3, R3, P[1], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 62 => ('+(+(y,z),+(x',y'))', D3, R4, P[], S{x17 -> y, x18 -> z, x19 -> +(x',y')}), NR: '+(+(y,z),+(x',y'))'
ID: 63 => ('+(+(+(z,y'),x'),y)', D3, R4, P[1], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 64 => ('+(+(x',y'),+(y,z))', D3, R1, P[], S{x8 -> +(x',y'), x9 -> y, x10 -> z}), NR: '+(+(x',y'),+(y,z))'
ID: 65 => ('+(y,+(+(x',y'),z))', D3, R2, P[], S{x11 -> y, x12 -> +(x',y'), x13 -> z}), NR: '+(y,+(+(x',y'),z))'
ID: 66 => ('+(+(y',+(x',y)),z)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> y}), NR: '+(y',+(x',y))'
ID: 67 => ('+(+(z,+(x',y')),y)', D3, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> y}), NR: '+(+(z,+(x',y')),y)'
ID: 68 => ('+(+(+(y,x'),y'),z)', D3, R3, P[1], S{x14 -> y, x15 -> x', x16 -> y'}), NR: '+(+(y,x'),y')'
ID: 69 => ('+(+(+(y,y'),x'),z)', D3, R4, P[1], S{x17 -> y, x18 -> y', x19 -> x'}), NR: '+(+(y,y'),x')'
ID: 70 => ('+(z,+(+(y,x'),y'))', D3, R5, P[2], S{x20 -> y, x21 -> x', x22 -> y'}), NR: '+(+(y,x'),y')'
ID: 71 => ('+(z,+(x',+(y',y)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> y}), NR: '+(x',+(y',y))'
ID: 72 => ('+(z,+(y',+(x',y)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> y}), NR: '+(y',+(x',y))'
ID: 73 => ('+(y,+(+(z,x'),y'))', D3, R5, P[2], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 74 => ('+(y,+(x',+(y',z)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 75 => ('+(y,+(y',+(x',z)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 76 => ('+(+(x',+(y,z)),y')', D3, R5, P[], S{x20 -> x', x21 -> +(y,z), x22 -> y'}), NR: '+(+(x',+(y,z)),y')'
ID: 77 => ('+(+(y,z),+(y',x'))', D3, R7, P[], S{x26 -> +(y,z), x27 -> y', x28 -> x'}), NR: '+(+(y,z),+(y',x'))'
ID: 78 => ('+(y',+(+(y,z),x'))', D3, R8, P[], S{x29 -> y', x30 -> +(y,z), x31 -> x'}), NR: '+(y',+(+(y,z),x'))'
ID: 79 => ('+(+(y',z),+(x',y))', D3, R2, P[], S{x11 -> +(y',z), x12 -> x', x13 -> y}), NR: '+(+(y',z),+(x',y))'
ID: 80 => ('+(+(y,x'),+(y',z))', D3, R3, P[], S{x14 -> y, x15 -> x', x16 -> +(y',z)}), NR: '+(+(y,x'),+(y',z))'
ID: 81 => ('+(+(y,+(y',z)),x')', D3, R4, P[], S{x17 -> y, x18 -> +(y',z), x19 -> x'}), NR: '+(+(y,+(y',z)),x')'
ID: 82 => ('+(+(+(x',z),y'),y)', D3, R6, P[1], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 83 => ('+(+(y',+(z,x')),y)', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 84 => ('+(+(z,+(y',x')),y)', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 85 => ('+(+(+(y',z),x'),y)', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> y}), NR: '+(+(+(y',z),x'),y)'
ID: 86 => ('+(+(+(x',y),y'),z)', D3, R5, P[], S{x20 -> +(x',y), x21 -> y', x22 -> z}), NR: '+(+(+(x',y),y'),z)'
ID: 87 => ('+(y',+(z,+(x',y)))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',y)}), NR: '+(y',+(z,+(x',y)))'
ID: 88 => ('+(z,+(y',+(y,x')))', D3, R2, P[], S{x11 -> z, x12 -> y', x13 -> +(y,x')}), NR: '+(z,+(y',+(y,x')))'
ID: 89 => ('+(+(+(y,x'),z),y')', D3, R4, P[], S{x17 -> +(y,x'), x18 -> z, x19 -> y'}), NR: '+(+(+(y,x'),z),y')'
ID: 90 => ('+(y,+(y',+(z,x')))', D3, R1, P[2], S{x8 -> y', x9 -> z, x10 -> x'}), NR: '+(y',+(z,x'))'
ID: 91 => ('+(y,+(+(x',z),y'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> y'}), NR: '+(+(x',z),y')'
ID: 92 => ('+(+(z,+(x',y)),y')', D3, R2, P[1], S{x11 -> z, x12 -> x', x13 -> y}), NR: '+(z,+(x',y))'
ID: 93 => ('+(+(y',y),+(x',z))', D3, R4, P[], S{x17 -> y', x18 -> y, x19 -> +(x',z)}), NR: '+(+(y',y),+(x',z))'
ID: 94 => ('+(+(+(y,z),x'),y')', D3, R4, P[1], S{x17 -> y, x18 -> z, x19 -> x'}), NR: '+(+(y,z),x')'
ID: 95 => ('+(z,+(+(x',y),y'))', D3, R2, P[], S{x11 -> z, x12 -> +(x',y), x13 -> y'}), NR: '+(z,+(+(x',y),y'))'
ID: 96 => ('+(+(y,+(x',z)),y')', D3, R2, P[1], S{x11 -> y, x12 -> x', x13 -> z}), NR: '+(y,+(x',z))'
ID: 97 => ('+(+(+(z,x'),y),y')', D3, R3, P[1], S{x14 -> z, x15 -> x', x16 -> y}), NR: '+(+(z,x'),y)'
ID: 98 => ('+(+(y,x'),+(z,y'))', D3, R2, P[], S{x11 -> +(y,x'), x12 -> z, x13 -> y'}), NR: '+(+(y,x'),+(z,y'))'
ID: 99 => ('+(+(y',+(y,x')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(y,x'), x19 -> z}), NR: '+(+(y',+(y,x')),z)'
ID: 100 => ('+(+(z,x'),+(y,y'))', D3, R2, P[], S{x11 -> +(z,x'), x12 -> y, x13 -> y'}), NR: '+(+(z,x'),+(y,y'))'
ID: 101 => ('+(+(z,x'),+(y',y))', D3, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',y)}), NR: '+(+(z,x'),+(y',y))'
ID: 102 => ('+(+(z,+(y',y)),x')', D3, R4, P[], S{x17 -> z, x18 -> +(y',y), x19 -> x'}), NR: '+(+(z,+(y',y)),x')'
ID: 103 => ('+(+(y,+(y',x')),z)', D3, R8, P[1], S{x29 -> y, x30 -> y', x31 -> x'}), NR: '+(y,+(y',x'))'
ID: 104 => ('+(+(+(y',y),x'),z)', D3, R3, P[], S{x14 -> +(y',y), x15 -> x', x16 -> z}), NR: '+(+(+(y',y),x'),z)'
ID: 105 => ('+(y',+(y,+(x',z)))', D3, R7, P[], S{x26 -> y', x27 -> y, x28 -> +(x',z)}), NR: '+(y',+(y,+(x',z)))'
ID: 106 => ('+(y',+(+(z,x'),y))', D3, R6, P[2], S{x23 -> z, x24 -> x', x25 -> y}), NR: '+(+(z,x'),y)'
ID: 107 => ('+(y',+(x',+(y,z)))', D3, R8, P[2], S{x29 -> x', x30 -> y, x31 -> z}), NR: '+(x',+(y,z))'
ID: 108 => ('+(y',+(+(y,x'),z))', D3, R6, P[2], S{x23 -> y, x24 -> x', x25 -> z}), NR: '+(+(y,x'),z)'
ID: 109 => ('+(z,+(x',+(y,y')))', D3, R2, P[], S{x11 -> z, x12 -> x', x13 -> +(y,y')}), NR: '+(z,+(x',+(y,y')))'
ID: 110 => ('+(+(+(y,y'),z),x')', D3, R4, P[], S{x17 -> +(y,y'), x18 -> z, x19 -> x'}), NR: '+(+(+(y,y'),z),x')'
ID: 111 => ('+(+(y,y'),+(x',z))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x', x13 -> z}), NR: '+(+(y,y'),+(x',z))'
ID: 112 => ('+(y,+(+(y',x'),z))', D3, R7, P[], S{x26 -> y, x27 -> +(y',x'), x28 -> z}), NR: '+(y,+(+(y',x'),z))'
ID: 113 => ('+(+(y',x'),+(y,z))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> y, x31 -> z}), NR: '+(+(y',x'),+(y,z))'
ID: 114 => ('+(z,+(+(y',x'),y))', D3, R7, P[], S{x26 -> z, x27 -> +(y',x'), x28 -> y}), NR: '+(z,+(+(y',x'),y))'
ID: 115 => ('+(y,+(x',+(z,y')))', D3, R2, P[], S{x11 -> y, x12 -> x', x13 -> +(z,y')}), NR: '+(y,+(x',+(z,y')))'
ID: 116 => ('+(+(+(z,y'),y),x')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> y, x19 -> x'}), NR: '+(+(+(z,y'),y),x')'
ID: 117 => ('+(+(z,y'),+(x',y))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> x', x13 -> y}), NR: '+(+(z,y'),+(x',y))'
ID: 118 => ('+(+(y',+(y,z)),x')', D4, R8, P[1], S{x29 -> y', x30 -> y, x31 -> z}), NR: '+(y',+(y,z))'
ID: 119 => ('+(+(+(y,z),y'),x')', D4, R5, P[1], S{x20 -> y, x21 -> z, x22 -> y'}), NR: '+(+(y,z),y')'
t: +(+(+(y',x'),y),z)
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(+(+(y',x'),y),z)', D0)
ID: 1 => ('+(+(y',x'),+(y,z))', D1, R1, P[], S{x8 -> +(y',x'), x9 -> y, x10 -> z}), NR: '+(+(y',x'),+(y,z))'
ID: 2 => ('+(+(y',+(x',y)),z)', D1, R1, P[1], S{x8 -> y', x9 -> x', x10 -> y}), NR: '+(y',+(x',y))'
ID: 3 => ('+(y,+(+(y',x'),z))', D1, R2, P[], S{x11 -> y, x12 -> +(y',x'), x13 -> z}), NR: '+(y,+(+(y',x'),z))'
ID: 4 => ('+(+(x',+(y',y)),z)', D1, R2, P[1], S{x11 -> x', x12 -> y', x13 -> y}), NR: '+(x',+(y',y))'
ID: 5 => ('+(+(z,+(y',x')),y)', D1, R3, P[], S{x14 -> z, x15 -> +(y',x'), x16 -> y}), NR: '+(+(z,+(y',x')),y)'
ID: 6 => ('+(+(+(y,y'),x'),z)', D1, R3, P[1], S{x14 -> y, x15 -> y', x16 -> x'}), NR: '+(+(y,y'),x')'
ID: 7 => ('+(+(z,y),+(y',x'))', D1, R4, P[], S{x17 -> z, x18 -> y, x19 -> +(y',x')}), NR: '+(+(z,y),+(y',x'))'
ID: 8 => ('+(+(+(y,x'),y'),z)', D1, R4, P[1], S{x17 -> y, x18 -> x', x19 -> y'}), NR: '+(+(y,x'),y')'
ID: 9 => ('+(y',+(x',+(y,z)))', D2, R1, P[], S{x8 -> y', x9 -> x', x10 -> +(y,z)}), NR: '+(y',+(x',+(y,z)))'
ID: 10 => ('+(x',+(y',+(y,z)))', D2, R2, P[], S{x11 -> x', x12 -> y', x13 -> +(y,z)}), NR: '+(x',+(y',+(y,z)))'
ID: 11 => ('+(+(+(y,z),y'),x')', D2, R3, P[], S{x14 -> +(y,z), x15 -> y', x16 -> x'}), NR: '+(+(+(y,z),y'),x')'
ID: 12 => ('+(+(+(y,z),x'),y')', D2, R4, P[], S{x17 -> +(y,z), x18 -> x', x19 -> y'}), NR: '+(+(+(y,z),x'),y')'
ID: 13 => ('+(+(+(y',x'),z),y)', D2, R6, P[], S{x23 -> +(y',x'), x24 -> z, x25 -> y}), NR: '+(+(+(y',x'),z),y)'
ID: 14 => ('+(y,+(z,+(y',x')))', D2, R7, P[], S{x26 -> y, x27 -> z, x28 -> +(y',x')}), NR: '+(y,+(z,+(y',x')))'
ID: 15 => ('+(z,+(y,+(y',x')))', D2, R8, P[], S{x29 -> z, x30 -> y, x31 -> +(y',x')}), NR: '+(z,+(y,+(y',x')))'
ID: 16 => ('+(y',+(+(x',y),z))', D2, R1, P[], S{x8 -> y', x9 -> +(x',y), x10 -> z}), NR: '+(y',+(+(x',y),z))'
ID: 17 => ('+(+(x',y),+(y',z))', D2, R2, P[], S{x11 -> +(x',y), x12 -> y', x13 -> z}), NR: '+(+(x',y),+(y',z))'
ID: 18 => ('+(+(z,y'),+(x',y))', D2, R3, P[], S{x14 -> z, x15 -> y', x16 -> +(x',y)}), NR: '+(+(z,y'),+(x',y))'
ID: 19 => ('+(+(z,+(x',y)),y')', D2, R4, P[], S{x17 -> z, x18 -> +(x',y), x19 -> y'}), NR: '+(+(z,+(x',y)),y')'
ID: 20 => ('+(+(+(y',y),x'),z)', D2, R6, P[1], S{x23 -> y', x24 -> y, x25 -> x'}), NR: '+(+(y',y),x')'
ID: 21 => ('+(+(x',+(y,y')),z)', D2, R7, P[1], S{x26 -> x', x27 -> y, x28 -> y'}), NR: '+(x',+(y,y'))'
ID: 22 => ('+(+(y,+(x',y')),z)', D2, R8, P[1], S{x29 -> y, x30 -> x', x31 -> y'}), NR: '+(y,+(x',y'))'
ID: 23 => ('+(y,+(y',+(x',z)))', D2, R1, P[2], S{x8 -> y', x9 -> x', x10 -> z}), NR: '+(y',+(x',z))'
ID: 24 => ('+(y,+(x',+(y',z)))', D2, R2, P[2], S{x11 -> x', x12 -> y', x13 -> z}), NR: '+(x',+(y',z))'
ID: 25 => ('+(y,+(+(z,y'),x'))', D2, R3, P[2], S{x14 -> z, x15 -> y', x16 -> x'}), NR: '+(+(z,y'),x')'
ID: 26 => ('+(y,+(+(z,x'),y'))', D2, R4, P[2], S{x17 -> z, x18 -> x', x19 -> y'}), NR: '+(+(z,x'),y')'
ID: 27 => ('+(+(y,+(y',x')),z)', D2, R5, P[], S{x20 -> y, x21 -> +(y',x'), x22 -> z}), NR: '+(+(y,+(y',x')),z)'
ID: 28 => ('+(+(y,z),+(y',x'))', D2, R6, P[], S{x23 -> y, x24 -> z, x25 -> +(y',x')}), NR: '+(+(y,z),+(y',x'))'
ID: 29 => ('+(+(y',x'),+(z,y))', D2, R7, P[], S{x26 -> +(y',x'), x27 -> z, x28 -> y}), NR: '+(+(y',x'),+(z,y))'
ID: 30 => ('+(z,+(+(y',x'),y))', D2, R8, P[], S{x29 -> z, x30 -> +(y',x'), x31 -> y}), NR: '+(z,+(+(y',x'),y))'
ID: 31 => ('+(x',+(+(y',y),z))', D2, R1, P[], S{x8 -> x', x9 -> +(y',y), x10 -> z}), NR: '+(x',+(+(y',y),z))'
ID: 32 => ('+(+(y',y),+(x',z))', D2, R2, P[], S{x11 -> +(y',y), x12 -> x', x13 -> z}), NR: '+(+(y',y),+(x',z))'
ID: 33 => ('+(+(z,x'),+(y',y))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',y)}), NR: '+(+(z,x'),+(y',y))'
ID: 34 => ('+(+(z,+(y',y)),x')', D2, R4, P[], S{x17 -> z, x18 -> +(y',y), x19 -> x'}), NR: '+(+(z,+(y',y)),x')'
ID: 35 => ('+(+(+(x',y'),y),z)', D2, R5, P[1], S{x20 -> x', x21 -> y', x22 -> y}), NR: '+(+(x',y'),y)'
ID: 36 => ('+(+(+(x',y),y'),z)', D2, R6, P[1], S{x23 -> x', x24 -> y, x25 -> y'}), NR: '+(+(x',y),y')'
ID: 37 => ('+(+(y',+(y,x')),z)', D2, R7, P[1], S{x26 -> y', x27 -> y, x28 -> x'}), NR: '+(y',+(y,x'))'
ID: 38 => ('+(+(+(z,y'),x'),y)', D2, R5, P[1], S{x20 -> z, x21 -> y', x22 -> x'}), NR: '+(+(z,y'),x')'
ID: 39 => ('+(+(+(z,x'),y'),y)', D2, R6, P[1], S{x23 -> z, x24 -> x', x25 -> y'}), NR: '+(+(z,x'),y')'
ID: 40 => ('+(+(y',+(x',z)),y)', D2, R7, P[1], S{x26 -> y', x27 -> x', x28 -> z}), NR: '+(y',+(x',z))'
ID: 41 => ('+(+(x',+(y',z)),y)', D2, R8, P[1], S{x29 -> x', x30 -> y', x31 -> z}), NR: '+(x',+(y',z))'
ID: 42 => ('+(+(y,y'),+(x',z))', D2, R1, P[], S{x8 -> +(y,y'), x9 -> x', x10 -> z}), NR: '+(+(y,y'),+(x',z))'
ID: 43 => ('+(x',+(+(y,y'),z))', D2, R2, P[], S{x11 -> x', x12 -> +(y,y'), x13 -> z}), NR: '+(x',+(+(y,y'),z))'
ID: 44 => ('+(+(z,+(y,y')),x')', D2, R3, P[], S{x14 -> z, x15 -> +(y,y'), x16 -> x'}), NR: '+(+(z,+(y,y')),x')'
ID: 45 => ('+(+(z,x'),+(y,y'))', D2, R4, P[], S{x17 -> z, x18 -> x', x19 -> +(y,y')}), NR: '+(+(z,x'),+(y,y'))'
ID: 46 => ('+(+(+(z,y),y'),x')', D2, R5, P[], S{x20 -> +(z,y), x21 -> y', x22 -> x'}), NR: '+(+(+(z,y),y'),x')'
ID: 47 => ('+(+(+(z,y),x'),y')', D2, R6, P[], S{x23 -> +(z,y), x24 -> x', x25 -> y'}), NR: '+(+(+(z,y),x'),y')'
ID: 48 => ('+(y',+(x',+(z,y)))', D2, R7, P[], S{x26 -> y', x27 -> x', x28 -> +(z,y)}), NR: '+(y',+(x',+(z,y)))'
ID: 49 => ('+(x',+(y',+(z,y)))', D2, R8, P[], S{x29 -> x', x30 -> y', x31 -> +(z,y)}), NR: '+(x',+(y',+(z,y)))'
ID: 50 => ('+(+(y,x'),+(y',z))', D2, R1, P[], S{x8 -> +(y,x'), x9 -> y', x10 -> z}), NR: '+(+(y,x'),+(y',z))'
ID: 51 => ('+(y',+(+(y,x'),z))', D2, R2, P[], S{x11 -> y', x12 -> +(y,x'), x13 -> z}), NR: '+(y',+(+(y,x'),z))'
ID: 52 => ('+(+(z,+(y,x')),y')', D2, R3, P[], S{x14 -> z, x15 -> +(y,x'), x16 -> y'}), NR: '+(+(z,+(y,x')),y')'
ID: 53 => ('+(+(z,y'),+(y,x'))', D2, R4, P[], S{x17 -> z, x18 -> y', x19 -> +(y,x')}), NR: '+(+(z,y'),+(y,x'))'
ID: 54 => ('+(+(y',+(y,z)),x')', D3, R6, P[], S{x23 -> y', x24 -> +(y,z), x25 -> x'}), NR: '+(+(y',+(y,z)),x')'
ID: 55 => ('+(y',+(+(x',z),y))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y}), NR: '+(+(x',z),y)'
ID: 56 => ('+(x',+(+(y,z),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(y,z), x28 -> y'}), NR: '+(x',+(+(y,z),y'))'
ID: 57 => ('+(y',+(y,+(z,x')))', D3, R7, P[2], S{x26 -> y, x27 -> z, x28 -> x'}), NR: '+(y,+(z,x'))'
ID: 58 => ('+(+(y,z),+(x',y'))', D3, R8, P[], S{x29 -> +(y,z), x30 -> x', x31 -> y'}), NR: '+(+(y,z),+(x',y'))'
ID: 59 => ('+(y',+(z,+(y,x')))', D3, R8, P[2], S{x29 -> z, x30 -> y, x31 -> x'}), NR: '+(z,+(y,x'))'
ID: 60 => ('+(+(x',y'),+(y,z))', D3, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(y,z)}), NR: '+(+(x',y'),+(y,z))'
ID: 61 => ('+(+(x',+(y,z)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(y,z), x25 -> y'}), NR: '+(+(x',+(y,z)),y')'
ID: 62 => ('+(x',+(+(y',z),y))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> y}), NR: '+(+(y',z),y)'
ID: 63 => ('+(y',+(+(y,z),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,z), x28 -> x'}), NR: '+(y',+(+(y,z),x'))'
ID: 64 => ('+(x',+(y,+(z,y')))', D3, R7, P[2], S{x26 -> y, x27 -> z, x28 -> y'}), NR: '+(y,+(z,y'))'
ID: 65 => ('+(x',+(z,+(y,y')))', D3, R8, P[2], S{x29 -> z, x30 -> y, x31 -> y'}), NR: '+(z,+(y,y'))'
ID: 66 => ('+(+(y,+(z,y')),x')', D3, R1, P[1], S{x8 -> y, x9 -> z, x10 -> y'}), NR: '+(y,+(z,y'))'
ID: 67 => ('+(+(+(y',y),z),x')', D3, R3, P[1], S{x14 -> y', x15 -> y, x16 -> z}), NR: '+(+(y',y),z)'
ID: 68 => ('+(+(+(y',z),y),x')', D3, R4, P[1], S{x17 -> y', x18 -> z, x19 -> y}), NR: '+(+(y',z),y)'
ID: 69 => ('+(+(y,+(z,x')),y')', D3, R1, P[1], S{x8 -> y, x9 -> z, x10 -> x'}), NR: '+(y,+(z,x'))'
ID: 70 => ('+(+(+(x',y),z),y')', D3, R3, P[1], S{x14 -> x', x15 -> y, x16 -> z}), NR: '+(+(x',y),z)'
ID: 71 => ('+(+(+(x',z),y),y')', D3, R4, P[1], S{x17 -> x', x18 -> z, x19 -> y}), NR: '+(+(x',z),y)'
ID: 72 => ('+(z,+(+(y,y'),x'))', D3, R5, P[2], S{x20 -> y, x21 -> y', x22 -> x'}), NR: '+(+(y,y'),x')'
ID: 73 => ('+(z,+(+(y,x'),y'))', D3, R6, P[2], S{x23 -> y, x24 -> x', x25 -> y'}), NR: '+(+(y,x'),y')'
ID: 74 => ('+(z,+(y',+(x',y)))', D3, R7, P[2], S{x26 -> y', x27 -> x', x28 -> y}), NR: '+(y',+(x',y))'
ID: 75 => ('+(z,+(x',+(y',y)))', D3, R8, P[2], S{x29 -> x', x30 -> y', x31 -> y}), NR: '+(x',+(y',y))'
ID: 76 => ('+(y',+(y,+(x',z)))', D3, R2, P[2], S{x11 -> y, x12 -> x', x13 -> z}), NR: '+(y,+(x',z))'
ID: 77 => ('+(y',+(+(z,x'),y))', D3, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y}), NR: '+(+(z,x'),y)'
ID: 78 => ('+(y',+(+(z,y),x'))', D3, R4, P[2], S{x17 -> z, x18 -> y, x19 -> x'}), NR: '+(+(z,y),x')'
ID: 79 => ('+(+(y',z),+(x',y))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(x',y)}), NR: '+(+(y',z),+(x',y))'
ID: 80 => ('+(+(x',y),+(z,y'))', D3, R7, P[], S{x26 -> +(x',y), x27 -> z, x28 -> y'}), NR: '+(+(x',y),+(z,y'))'
ID: 81 => ('+(z,+(+(x',y),y'))', D3, R8, P[], S{x29 -> z, x30 -> +(x',y), x31 -> y'}), NR: '+(z,+(+(x',y),y'))'
ID: 82 => ('+(x',+(y,+(y',z)))', D3, R1, P[], S{x8 -> x', x9 -> y, x10 -> +(y',z)}), NR: '+(x',+(y,+(y',z)))'
ID: 83 => ('+(+(+(y',z),x'),y)', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> y}), NR: '+(+(+(y',z),x'),y)'
ID: 84 => ('+(y',+(z,+(x',y)))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',y)}), NR: '+(y',+(z,+(x',y)))'
ID: 85 => ('+(+(+(z,y'),y),x')', D3, R6, P[], S{x23 -> +(z,y'), x24 -> y, x25 -> x'}), NR: '+(+(+(z,y'),y),x')'
ID: 86 => ('+(y,+(x',+(z,y')))', D3, R8, P[], S{x29 -> y, x30 -> x', x31 -> +(z,y')}), NR: '+(y,+(x',+(z,y')))'
ID: 87 => ('+(+(+(z,x'),y),y')', D3, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y}), NR: '+(+(z,x'),y)'
ID: 88 => ('+(+(y,+(x',z)),y')', D3, R8, P[1], S{x29 -> y, x30 -> x', x31 -> z}), NR: '+(y,+(x',z))'
ID: 89 => ('+(y,+(+(x',y'),z))', D3, R1, P[], S{x8 -> y, x9 -> +(x',y'), x10 -> z}), NR: '+(y,+(+(x',y'),z))'
ID: 90 => ('+(+(z,y),+(x',y'))', D3, R3, P[], S{x14 -> z, x15 -> y, x16 -> +(x',y')}), NR: '+(+(z,y),+(x',y'))'
ID: 91 => ('+(+(z,+(x',y')),y)', D3, R4, P[], S{x17 -> z, x18 -> +(x',y'), x19 -> y}), NR: '+(+(z,+(x',y')),y)'
ID: 92 => ('+(y,+(+(y',z),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 93 => ('+(+(x',z),+(y',y))', D3, R8, P[], S{x29 -> +(x',z), x30 -> y', x31 -> y}), NR: '+(+(x',z),+(y',y))'
ID: 94 => ('+(y,+(z,+(x',y')))', D3, R8, P[2], S{x29 -> z, x30 -> x', x31 -> y'}), NR: '+(z,+(x',y'))'
ID: 95 => ('+(+(y,+(y',z)),x')', D3, R6, P[], S{x23 -> y, x24 -> +(y',z), x25 -> x'}), NR: '+(+(y,+(y',z)),x')'
ID: 96 => ('+(y,+(+(x',z),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 97 => ('+(y,+(y',+(z,x')))', D3, R7, P[2], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 98 => ('+(+(y,x'),+(z,y'))', D3, R6, P[], S{x23 -> y, x24 -> x', x25 -> +(z,y')}), NR: '+(+(y,x'),+(z,y'))'
ID: 99 => ('+(x',+(+(z,y'),y))', D3, R8, P[], S{x29 -> x', x30 -> +(z,y'), x31 -> y}), NR: '+(x',+(+(z,y'),y))'
ID: 100 => ('+(+(y,y'),+(z,x'))', D3, R6, P[], S{x23 -> y, x24 -> y', x25 -> +(z,x')}), NR: '+(+(y,y'),+(z,x'))'
ID: 101 => ('+(x',+(+(z,y),y'))', D3, R4, P[2], S{x17 -> z, x18 -> y, x19 -> y'}), NR: '+(+(z,y),y')'
ID: 102 => ('+(+(y',y),+(z,x'))', D3, R7, P[], S{x26 -> +(y',y), x27 -> z, x28 -> x'}), NR: '+(+(y',y),+(z,x'))'
ID: 103 => ('+(z,+(+(y',y),x'))', D3, R8, P[], S{x29 -> z, x30 -> +(y',y), x31 -> x'}), NR: '+(z,+(+(y',y),x'))'
ID: 104 => ('+(+(+(x',z),y'),y)', D3, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> y}), NR: '+(+(+(x',z),y'),y)'
ID: 105 => ('+(x',+(z,+(y',y)))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(y',y)}), NR: '+(x',+(z,+(y',y)))'
ID: 106 => ('+(+(y',+(z,x')),y)', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> x'}), NR: '+(y',+(z,x'))'
ID: 107 => ('+(+(+(x',y'),z),y)', D3, R4, P[1], S{x17 -> x', x18 -> y', x19 -> z}), NR: '+(+(x',y'),z)'
ID: 108 => ('+(+(x',+(z,y')),y)', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 109 => ('+(+(+(y,y'),z),x')', D3, R6, P[], S{x23 -> +(y,y'), x24 -> z, x25 -> x'}), NR: '+(+(+(y,y'),z),x')'
ID: 110 => ('+(z,+(x',+(y,y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(y,y')}), NR: '+(z,+(x',+(y,y')))'
ID: 111 => ('+(+(x',z),+(y,y'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y,y')}), NR: '+(+(x',z),+(y,y'))'
ID: 112 => ('+(+(x',+(z,y)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z,y), x16 -> y'}), NR: '+(+(x',+(z,y)),y')'
ID: 113 => ('+(+(x',y'),+(z,y))', D3, R4, P[], S{x17 -> x', x18 -> y', x19 -> +(z,y)}), NR: '+(+(x',y'),+(z,y))'
ID: 114 => ('+(+(y',+(z,y)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z,y), x16 -> x'}), NR: '+(+(y',+(z,y)),x')'
ID: 115 => ('+(+(+(y,x'),z),y')', D3, R6, P[], S{x23 -> +(y,x'), x24 -> z, x25 -> y'}), NR: '+(+(+(y,x'),z),y')'
ID: 116 => ('+(z,+(y',+(y,x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(y,x')}), NR: '+(z,+(y',+(y,x')))'
ID: 117 => ('+(+(y',z),+(y,x'))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(y,x')}), NR: '+(+(y',z),+(y,x'))'
ID: 118 => ('+(z,+(y,+(x',y')))', D4, R2, P[], S{x11 -> z, x12 -> y, x13 -> +(x',y')}), NR: '+(z,+(y,+(x',y')))'
ID: 119 => ('+(z,+(+(x',y'),y))', D4, R4, P[2], S{x17 -> x', x18 -> y', x19 -> y}), NR: '+(+(x',y'),y)'
SNodesPath1: +(x',+(y',+(z,y)))
TNodesPath1: +(+(+(y',x'),y),z) -> +(+(y',x'),+(y,z)) -> +(y',+(x',+(y,z))) -> +(y',+(+(x',y),z)) -> +(+(y',+(x',y)),z) -> +(+(x',y),+(y',z)) -> +(y,+(x',+(y',z))) -> +(y,+(z,+(y',x'))) -> +(y,+(y',+(x',z))) -> +(y,+(+(y',x'),z)) -> +(y,+(+(z,y'),x')) -> +(+(z,y'),+(x',y)) -> +(+(+(x',y),y'),z) -> +(+(z,+(x',y)),y') -> +(+(+(z,y),x'),y') -> +(+(y',x'),+(z,y)) -> +(+(+(y',x'),z),y) -> +(+(y,+(y',x')),z) -> +(+(x',+(y',y)),z) -> +(x',+(+(y',y),z)) -> +(x',+(y',+(y,z))) -> +(+(y,z),+(y',x')) -> +(+(+(y,z),y'),x') -> +(+(z,+(y,y')),x') -> +(+(x',+(y,y')),z) -> +(+(+(x',y'),y),z) -> +(+(+(y,y'),x'),z) -> +(+(y',+(y,x')),z) -> +(+(+(y',y),x'),z) -> +(+(y',y),+(x',z)) -> +(+(+(y',y),z),x') -> +(+(+(z,y),y'),x') -> +(+(z,y),+(y',x')) -> +(z,+(y,+(y',x'))) -> +(+(z,+(y',x')),y) -> +(z,+(+(y',x'),y)) -> +(z,+(+(y,y'),x')) -> +(+(y,y'),+(x',z)) -> +(x',+(z,+(y,y'))) -> +(x',+(y,+(y',z))) -> +(+(x',+(y',z)),y) -> +(+(y,x'),+(y',z)) -> +(+(+(y,x'),y'),z) -> +(+(y,+(x',y')),z) -> +(+(x',y'),+(y,z)) -> +(+(+(y,z),x'),y') -> +(+(z,+(y,x')),y') -> +(+(x',+(y,z)),y') -> +(+(y',+(y,z)),x') -> +(y',+(+(y,z),x')) -> +(y',+(+(x',z),y)) -> +(+(y',+(x',z)),y) -> +(+(+(y',z),x'),y) -> +(x',+(+(y',z),y)) -> +(x',+(+(y,y'),z)) -> +(x',+(+(z,y'),y)) -> +(x',+(y',+(z,y)))
SNodesPath2: +(x',+(y',+(z,y))) -> +(+(x',y'),+(z,y)) -> +(y',+(x',+(z,y))) -> +(x',+(+(z,y),y')) -> +(x',+(+(y',z),y)) -> +(x',+(z,+(y',y))) -> +(x',+(y',+(y,z))) -> +(x',+(+(y',y),z)) -> +(x',+(y,+(y',z))) -> +(x',+(+(y,y'),z)) -> +(x',+(+(z,y'),y)) -> +(x',+(+(y,z),y')) -> +(x',+(z,+(y,y'))) -> +(+(x',z),+(y,y')) -> +(+(+(x',z),y),y') -> +(+(x',+(z,y)),y') -> +(+(z,y),+(x',y')) -> +(+(+(z,y),x'),y') -> +(+(y',x'),+(z,y)) -> +(+(+(z,y),y'),x') -> +(y',+(+(z,y),x')) -> +(+(y',+(z,y)),x') -> +(+(z,y),+(y',x')) -> +(z,+(y,+(y',x'))) -> +(z,+(+(y,y'),x')) -> +(+(z,+(y,y')),x') -> +(+(x',+(y,y')),z) -> +(+(+(x',y'),y),z) -> +(+(x',+(y',y)),z) -> +(+(+(x',y),y'),z) -> +(+(x',y),+(y',z)) -> +(+(+(x',y),z),y') -> +(+(x',y),+(z,y')) -> +(x',+(y,+(z,y'))) -> +(+(x',+(z,y')),y) -> +(+(+(x',y'),z),y) -> +(+(x',+(y',z)),y) -> +(+(y',z),+(x',y)) -> +(+(+(y',z),y),x') -> +(+(y',z),+(y,x')) -> +(y',+(z,+(y,x'))) -> +(z,+(+(y,x'),y')) -> +(z,+(y,+(x',y'))) -> +(+(x',y'),+(y,z)) -> +(y,+(z,+(x',y'))) -> +(y,+(+(z,y'),x')) -> +(y,+(z,+(y',x'))) -> +(y,+(+(z,x'),y')) -> +(y,+(+(y',z),x')) -> +(y,+(+(x',y'),z)) -> +(z,+(+(x',y'),y)) -> +(+(z,+(x',y')),y) -> +(+(y',+(x',z)),y) -> +(+(x',z),+(y',y)) -> +(+(+(y',y),z),x') -> +(+(y',y),+(z,x')) -> +(y',+(y,+(z,x'))) -> +(y',+(+(y,z),x')) -> +(y',+(+(x',z),y)) -> +(y',+(z,+(x',y))) -> +(+(y',+(x',y)),z) -> +(y',+(+(x',y),z)) -> +(z,+(+(x',y),y')) -> +(z,+(+(y',y),x')) -> +(z,+(y',+(y,x'))) -> +(+(z,+(y,x')),y') -> +(+(x',+(y,z)),y') -> +(+(y,+(z,x')),y') -> +(+(y',+(z,x')),y) -> +(+(y,y'),+(z,x')) -> +(+(+(z,x'),y'),y) -> +(+(+(y',x'),z),y) -> +(+(+(z,y'),x'),y) -> +(+(y,+(z,y')),x') -> +(+(z,y'),+(y,x')) -> +(+(+(y,x'),y'),z) -> +(+(+(y',x'),y),z)
TNodesPath2: +(+(+(y',x'),y),z)
+(x',+(y',+(z,y))) ->= +(x',+(y',+(z,y))) *<- +(+(+(y',x'),y),z)
+(+(+(y',x'),y),z) ->= +(+(+(y',x'),y),z) *<- +(x',+(y',+(z,y)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.3: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(x',+(y',z'))),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N13
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(x',+(y',z')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(z,+(x',+(y',z')))', D0)
ID: 1 => ('+(+(z,x'),+(y',z'))', D1, R5, P[], S{x20 -> z, x21 -> x', x22 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 2 => ('+(z,+(+(x',y'),z'))', D1, R5, P[2], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 3 => ('+(+(z,+(y',z')),x')', D1, R6, P[], S{x23 -> z, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 4 => ('+(z,+(+(x',z'),y'))', D1, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 5 => ('+(x',+(+(y',z'),z))', D1, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 6 => ('+(z,+(y',+(z',x')))', D1, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 7 => ('+(+(y',z'),+(x',z))', D1, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 8 => ('+(z,+(z',+(y',x')))', D1, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 9 => ('+(x',+(z,+(y',z')))', D2, R2, P[], S{x11 -> x', x12 -> z, x13 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 10 => ('+(+(+(y',z'),z),x')', D2, R3, P[], S{x14 -> +(y',z'), x15 -> z, x16 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 11 => ('+(+(+(y',z'),x'),z)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 12 => ('+(+(+(z,x'),y'),z')', D2, R5, P[], S{x20 -> +(z,x'), x21 -> y', x22 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 13 => ('+(+(+(z,x'),z'),y')', D2, R6, P[], S{x23 -> +(z,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 14 => ('+(y',+(z',+(z,x')))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 15 => ('+(z',+(y',+(z,x')))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 16 => ('+(z,+(y',+(x',z')))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 17 => ('+(z,+(+(z',x'),y'))', D2, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 18 => ('+(z,+(+(z',y'),x'))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 19 => ('+(+(z,+(x',y')),z')', D2, R5, P[], S{x20 -> z, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 20 => ('+(+(z,z'),+(x',y'))', D2, R6, P[], S{x23 -> z, x24 -> z', x25 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 21 => ('+(+(x',y'),+(z',z))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 22 => ('+(z',+(+(x',y'),z))', D2, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> z}), NR: '+(z',+(+(x',y'),z))'
ID: 23 => ('+(z,+(+(y',z'),x'))', D2, R1, P[], S{x8 -> z, x9 -> +(y',z'), x10 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 24 => ('+(+(y',z'),+(z,x'))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> z, x13 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 25 => ('+(+(x',z),+(y',z'))', D2, R3, P[], S{x14 -> x', x15 -> z, x16 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 26 => ('+(+(x',+(y',z')),z)', D2, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> z}), NR: '+(+(x',+(y',z')),z)'
ID: 27 => ('+(+(+(z,y'),z'),x')', D2, R5, P[1], S{x20 -> z, x21 -> y', x22 -> z'}), NR: '+(+(z,y'),z')'
ID: 28 => ('+(+(+(z,z'),y'),x')', D2, R6, P[1], S{x23 -> z, x24 -> z', x25 -> y'}), NR: '+(+(z,z'),y')'
ID: 29 => ('+(+(y',+(z',z)),x')', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> z}), NR: '+(y',+(z',z))'
ID: 30 => ('+(+(z',+(y',z)),x')', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> z}), NR: '+(z',+(y',z))'
ID: 31 => ('+(z,+(x',+(z',y')))', D2, R1, P[2], S{x8 -> x', x9 -> z', x10 -> y'}), NR: '+(x',+(z',y'))'
ID: 32 => ('+(z,+(z',+(x',y')))', D2, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 33 => ('+(z,+(+(y',x'),z'))', D2, R3, P[2], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 34 => ('+(+(z,+(x',z')),y')', D2, R5, P[], S{x20 -> z, x21 -> +(x',z'), x22 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 35 => ('+(+(z,y'),+(x',z'))', D2, R6, P[], S{x23 -> z, x24 -> y', x25 -> +(x',z')}), NR: '+(+(z,y'),+(x',z'))'
ID: 36 => ('+(+(x',z'),+(y',z))', D2, R7, P[], S{x26 -> +(x',z'), x27 -> y', x28 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 37 => ('+(y',+(+(x',z'),z))', D2, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 38 => ('+(x',+(y',+(z',z)))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> z}), NR: '+(y',+(z',z))'
ID: 39 => ('+(x',+(z',+(y',z)))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 40 => ('+(x',+(+(z,y'),z'))', D2, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 41 => ('+(x',+(+(z,z'),y'))', D2, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 42 => ('+(+(z,y'),+(z',x'))', D2, R5, P[], S{x20 -> z, x21 -> y', x22 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 43 => ('+(+(z,+(z',x')),y')', D2, R6, P[], S{x23 -> z, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 44 => ('+(y',+(+(z',x'),z))', D2, R7, P[], S{x26 -> y', x27 -> +(z',x'), x28 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 45 => ('+(+(z',x'),+(y',z))', D2, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> z}), NR: '+(+(z',x'),+(y',z))'
ID: 46 => ('+(y',+(z',+(x',z)))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 47 => ('+(z',+(y',+(x',z)))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x',z)}), NR: '+(z',+(y',+(x',z)))'
ID: 48 => ('+(+(+(x',z),y'),z')', D2, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 49 => ('+(+(+(x',z),z'),y')', D2, R4, P[], S{x17 -> +(x',z), x18 -> z', x19 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 50 => ('+(+(z,z'),+(y',x'))', D2, R5, P[], S{x20 -> z, x21 -> z', x22 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 51 => ('+(+(z,+(y',x')),z')', D2, R6, P[], S{x23 -> z, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 52 => ('+(z',+(+(y',x'),z))', D2, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 53 => ('+(+(y',x'),+(z',z))', D2, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> z}), NR: '+(+(y',x'),+(z',z))'
ID: 54 => ('+(+(y',+(z',x')),z)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 55 => ('+(+(z',+(y',x')),z)', D3, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 56 => ('+(+(+(x',y'),z'),z)', D3, R3, P[1], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 57 => ('+(+(+(x',z'),y'),z)', D3, R4, P[1], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 58 => ('+(y',+(+(z,x'),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(z,x'), x13 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 59 => ('+(+(x',+(z,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 60 => ('+(+(z',+(z,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(z,x'), x16 -> y'}), NR: '+(+(z',+(z,x')),y')'
ID: 61 => ('+(+(+(y',z),x'),z')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> x'}), NR: '+(+(y',z),x')'
ID: 62 => ('+(+(z',y'),+(z,x'))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 63 => ('+(+(+(y',x'),z),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 64 => ('+(+(z,x'),+(z',y'))', D3, R1, P[], S{x8 -> +(z,x'), x9 -> z', x10 -> y'}), NR: '+(+(z,x'),+(z',y'))'
ID: 65 => ('+(z',+(+(z,x'),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(z,x'), x13 -> y'}), NR: '+(z',+(+(z,x'),y'))'
ID: 66 => ('+(+(x',+(z,z')),y')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> z'}), NR: '+(x',+(z,z'))'
ID: 67 => ('+(+(y',+(z,x')),z')', D3, R3, P[], S{x14 -> y', x15 -> +(z,x'), x16 -> z'}), NR: '+(+(y',+(z,x')),z')'
ID: 68 => ('+(+(+(z',z),x'),y')', D3, R3, P[1], S{x14 -> z', x15 -> z, x16 -> x'}), NR: '+(+(z',z),x')'
ID: 69 => ('+(+(+(z',x'),z),y')', D3, R4, P[1], S{x17 -> z', x18 -> x', x19 -> z}), NR: '+(+(z',x'),z)'
ID: 70 => ('+(y',+(+(z',z),x'))', D3, R5, P[2], S{x20 -> z', x21 -> z, x22 -> x'}), NR: '+(+(z',z),x')'
ID: 71 => ('+(y',+(z,+(x',z')))', D3, R7, P[2], S{x26 -> z, x27 -> x', x28 -> z'}), NR: '+(z,+(x',z'))'
ID: 72 => ('+(y',+(x',+(z,z')))', D3, R8, P[2], S{x29 -> x', x30 -> z, x31 -> z'}), NR: '+(x',+(z,z'))'
ID: 73 => ('+(z',+(+(y',z),x'))', D3, R5, P[2], S{x20 -> y', x21 -> z, x22 -> x'}), NR: '+(+(y',z),x')'
ID: 74 => ('+(z',+(z,+(x',y')))', D3, R7, P[2], S{x26 -> z, x27 -> x', x28 -> y'}), NR: '+(z,+(x',y'))'
ID: 75 => ('+(z',+(x',+(z,y')))', D3, R8, P[2], S{x29 -> x', x30 -> z, x31 -> y'}), NR: '+(x',+(z,y'))'
ID: 76 => ('+(+(z,+(z',y')),x')', D3, R5, P[], S{x20 -> z, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 77 => ('+(+(z',y'),+(x',z))', D3, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 78 => ('+(x',+(+(z',y'),z))', D3, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 79 => ('+(+(x',y'),+(z,z'))', D3, R2, P[], S{x11 -> +(x',y'), x12 -> z, x13 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 80 => ('+(+(z',z),+(x',y'))', D3, R3, P[], S{x14 -> z', x15 -> z, x16 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 81 => ('+(+(z',+(x',y')),z)', D3, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 82 => ('+(+(+(z,y'),x'),z')', D3, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 83 => ('+(+(x',+(y',z)),z')', D3, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 84 => ('+(+(y',+(x',z)),z')', D3, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 85 => ('+(+(+(x',y'),z),z')', D3, R3, P[], S{x14 -> +(x',y'), x15 -> z, x16 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 86 => ('+(+(+(z,z'),x'),y')', D3, R5, P[], S{x20 -> +(z,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 87 => ('+(x',+(y',+(z,z')))', D3, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 88 => ('+(y',+(x',+(z',z)))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 89 => ('+(+(+(z',z),y'),x')', D3, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 90 => ('+(z',+(x',+(y',z)))', D3, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 91 => ('+(z',+(+(z,y'),x'))', D3, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 92 => ('+(+(y',+(z,z')),x')', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> z'}), NR: '+(y',+(z,z'))'
ID: 93 => ('+(+(x',z'),+(z,y'))', D3, R4, P[], S{x17 -> x', x18 -> z', x19 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 94 => ('+(+(+(z',y'),z),x')', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> z}), NR: '+(+(z',y'),z)'
ID: 95 => ('+(y',+(+(z,z'),x'))', D3, R2, P[], S{x11 -> y', x12 -> +(z,z'), x13 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 96 => ('+(+(z',+(z,y')),x')', D3, R2, P[1], S{x11 -> z', x12 -> z, x13 -> y'}), NR: '+(z',+(z,y'))'
ID: 97 => ('+(+(+(y',z),z'),x')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> z'}), NR: '+(+(y',z),z')'
ID: 98 => ('+(+(z',z),+(y',x'))', D3, R2, P[], S{x11 -> +(z',z), x12 -> y', x13 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 99 => ('+(+(x',+(z',z)),y')', D3, R4, P[], S{x17 -> x', x18 -> +(z',z), x19 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 100 => ('+(+(y',z),+(z',x'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> z', x13 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 101 => ('+(+(y',z),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> z, x16 -> +(x',z')}), NR: '+(+(y',z),+(x',z'))'
ID: 102 => ('+(+(y',+(x',z')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> z}), NR: '+(+(y',+(x',z')),z)'
ID: 103 => ('+(+(z',+(x',z)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> z}), NR: '+(z',+(x',z))'
ID: 104 => ('+(+(+(x',z'),z),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> z, x16 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 105 => ('+(x',+(z',+(z,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(z,y')}), NR: '+(x',+(z',+(z,y')))'
ID: 106 => ('+(x',+(+(y',z),z'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 107 => ('+(x',+(z,+(z',y')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 108 => ('+(x',+(+(z',z),y'))', D3, R6, P[2], S{x23 -> z', x24 -> z, x25 -> y'}), NR: '+(+(z',z),y')'
ID: 109 => ('+(y',+(z,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> z, x13 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 110 => ('+(+(+(z',x'),y'),z)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> z}), NR: '+(+(+(z',x'),y'),z)'
ID: 111 => ('+(+(z',x'),+(z,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> z, x13 -> y'}), NR: '+(+(z',x'),+(z,y'))'
ID: 112 => ('+(z',+(+(x',z),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(x',z), x28 -> y'}), NR: '+(z',+(+(x',z),y'))'
ID: 113 => ('+(+(x',z),+(z',y'))', D3, R8, P[], S{x29 -> +(x',z), x30 -> z', x31 -> y'}), NR: '+(+(x',z),+(z',y'))'
ID: 114 => ('+(y',+(+(x',z),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(x',z), x28 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 115 => ('+(z',+(z,+(y',x')))', D3, R2, P[], S{x11 -> z', x12 -> z, x13 -> +(y',x')}), NR: '+(z',+(z,+(y',x')))'
ID: 116 => ('+(+(+(y',x'),z'),z)', D3, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> z}), NR: '+(+(+(y',x'),z'),z)'
ID: 117 => ('+(+(y',x'),+(z,z'))', D3, R2, P[], S{x11 -> +(y',x'), x12 -> z, x13 -> z'}), NR: '+(+(y',x'),+(z,z'))'
ID: 118 => ('+(+(x',+(z',y')),z)', D4, R8, P[1], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 119 => ('+(+(+(z',y'),x'),z)', D4, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
t: +(z',+(+(x',y'),z))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,17),(3,19),(3,21),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,11),(4,13),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,23),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,23),(7,39),(7,40),(7,41),(7,46),(7,47),(7,48),(7,49),(8,0),(8,32),(8,33),(8,34),(8,50),(8,51),(8,52),(8,53),(9,1),(9,35),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,19),(10,43),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(11,22),(11,23),(12,19),(12,46),(12,60),(12,61),(12,62),(12,66),(12,67),(12,68),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(13,26),(13,27),(14,1),(14,51),(14,54),(14,55),(14,56),(14,69),(14,70),(14,71),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,36),(16,63),(16,76),(16,77),(16,78),(16,79),(16,80),(17,1),(17,2),(17,3),(17,4),(17,72),(17,73),(17,74),(17,75),(18,11),(18,42),(18,57),(18,81),(18,82),(18,83),(18,84),(18,85),(19,0),(19,9),(19,10),(19,11),(19,12),(19,13),(19,14),(19,15),(20,11),(20,47),(20,69),(20,81),(20,82),(20,83),(20,86),(20,87),(21,0),(21,11),(21,13),(21,15),(21,28),(21,29),(21,30),(21,31),(22,2),(22,50),(22,66),(22,76),(22,77),(22,78),(22,88),(22,89),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,3),(24,42),(24,57),(24,84),(24,85),(24,90),(24,91),(24,92),(25,13),(25,36),(25,63),(25,79),(25,80),(25,93),(25,94),(25,95),(26,13),(26,50),(26,66),(26,88),(26,89),(26,93),(26,94),(26,95),(27,3),(27,47),(27,69),(27,86),(27,87),(27,90),(27,91),(27,92),(28,4),(28,43),(28,63),(28,64),(28,65),(28,96),(28,97),(28,98),(29,21),(29,35),(29,57),(29,58),(29,59),(29,99),(29,100),(29,101),(30,21),(30,51),(30,69),(30,70),(30,71),(30,99),(30,100),(30,101),(31,4),(31,46),(31,66),(31,67),(31,68),(31,96),(31,97),(31,98),(32,23),(32,39),(32,40),(32,41),(32,42),(32,43),(32,44),(32,45),(33,23),(33,39),(33,40),(33,41),(33,46),(33,47),(33,48),(33,49),(34,5),(34,6),(34,7),(34,8),(34,62),(34,83),(34,95),(34,101),(35,5),(35,9),(35,86),(35,88),(35,96),(35,102),(35,103),(35,104),(36,16),(36,40),(36,67),(36,70),(36,73),(36,90),(36,105),(36,106),(37,26),(37,40),(37,65),(37,70),(37,73),(37,82),(37,105),(37,107),(38,5),(38,30),(38,61),(38,85),(38,88),(38,102),(38,104),(38,108),(39,0),(39,32),(39,33),(39,34),(39,50),(39,51),(39,52),(39,53),(40,0),(40,32),(40,33),(40,34),(40,35),(40,36),(40,37),(40,38),(41,5),(41,6),(41,7),(41,8),(41,62),(41,83),(41,95),(41,101),(42,6),(42,24),(42,68),(42,71),(42,77),(42,103),(42,109),(42,110),(43,28),(43,32),(43,55),(43,72),(43,87),(43,89),(43,106),(43,111),(44,12),(44,32),(44,72),(44,79),(44,87),(44,99),(44,107),(44,111),(45,6),(45,20),(45,58),(45,68),(45,93),(45,108),(45,109),(45,110),(46,7),(46,12),(46,79),(46,84),(46,99),(46,107),(46,112),(46,113),(47,20),(47,33),(47,58),(47,64),(47,75),(47,93),(47,108),(47,114),(48,24),(48,33),(48,64),(48,71),(48,75),(48,77),(48,103),(48,114),(49,7),(49,28),(49,55),(49,84),(49,89),(49,106),(49,112),(49,113),(50,8),(50,26),(50,59),(50,65),(50,82),(50,107),(50,115),(50,116),(51,30),(51,39),(51,61),(51,74),(51,80),(51,85),(51,108),(51,117),(52,9),(52,39),(52,74),(52,80),(52,86),(52,96),(52,103),(52,117),(53,8),(53,16),(53,59),(53,67),(53,90),(53,106),(53,115),(53,116),(54,19),(54,46),(54,60),(54,61),(54,62),(54,66),(54,67),(54,68),(55,19),(55,43),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,9),(56,10),(56,12),(56,14),(56,41),(56,78),(56,92),(56,118),(57,18),(57,29),(57,48),(57,52),(57,60),(57,94),(57,105),(57,111),(58,27),(58,29),(58,45),(58,52),(58,60),(58,76),(58,105),(58,112),(59,9),(59,39),(59,74),(59,80),(59,86),(59,96),(59,103),(59,117),(60,1),(60,35),(60,54),(60,55),(60,56),(60,57),(60,58),(60,59),(61,1),(61,51),(61,54),(61,55),(61,56),(61,69),(61,70),(61,71),(62,9),(62,10),(62,12),(62,14),(62,41),(62,78),(62,92),(62,118),(63,10),(63,25),(63,49),(63,53),(63,81),(63,100),(63,102),(63,109),(64,7),(64,28),(64,55),(64,84),(64,89),(64,106),(64,112),(64,113),(65,10),(65,22),(65,37),(65,49),(65,91),(65,100),(65,109),(65,117),(66,22),(66,31),(66,37),(66,44),(66,54),(66,91),(66,114),(66,117),(67,25),(67,31),(67,44),(67,53),(67,54),(67,81),(67,102),(67,114),(68,12),(68,32),(68,72),(68,79),(68,87),(68,99),(68,107),(68,111),(69,14),(69,27),(69,38),(69,45),(69,76),(69,97),(69,112),(69,115),(70,5),(70,30),(70,61),(70,85),(70,88),(70,102),(70,104),(70,108),(71,14),(71,18),(71,38),(71,48),(71,94),(71,97),(71,111),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,104),(72,116),(72,119),(73,17),(73,35),(73,36),(73,37),(73,38),(73,110),(73,113),(73,118),(74,17),(74,50),(74,51),(74,52),(74,53),(74,110),(74,113),(74,118),(75,15),(75,46),(75,47),(75,48),(75,49),(75,104),(75,116),(75,119),(76,11),(76,47),(76,69),(76,81),(76,82),(76,83),(76,86),(76,87),(77,11),(77,42),(77,57),(77,81),(77,82),(77,83),(77,84),(77,85),(78,16),(78,18),(78,20),(78,22),(78,34),(78,56),(78,98),(78,119),(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ID: 0 => ('+(z',+(+(x',y'),z))', D0)
ID: 1 => ('+(z',+(x',+(y',z)))', D1, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 2 => ('+(z',+(y',+(x',z)))', D1, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 3 => ('+(z',+(+(z,x'),y'))', D1, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 4 => ('+(z',+(+(z,y'),x'))', D1, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 5 => ('+(+(z',+(x',y')),z)', D1, R5, P[], S{x20 -> z', x21 -> +(x',y'), x22 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 6 => ('+(+(z',z),+(x',y'))', D1, R6, P[], S{x23 -> z', x24 -> z, x25 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 7 => ('+(+(x',y'),+(z,z'))', D1, R7, P[], S{x26 -> +(x',y'), x27 -> z, x28 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 8 => ('+(z,+(+(x',y'),z'))', D1, R8, P[], S{x29 -> z, x30 -> +(x',y'), x31 -> z'}), NR: '+(z,+(+(x',y'),z'))'
ID: 9 => ('+(+(z',x'),+(y',z))', D2, R5, P[], S{x20 -> z', x21 -> x', x22 -> +(y',z)}), NR: '+(+(z',x'),+(y',z))'
ID: 10 => ('+(+(z',+(y',z)),x')', D2, R6, P[], S{x23 -> z', x24 -> +(y',z), x25 -> x'}), NR: '+(+(z',+(y',z)),x')'
ID: 11 => ('+(z',+(+(x',z),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 12 => ('+(x',+(+(y',z),z'))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z), x28 -> z'}), NR: '+(x',+(+(y',z),z'))'
ID: 13 => ('+(z',+(y',+(z,x')))', D2, R7, P[2], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 14 => ('+(+(y',z),+(x',z'))', D2, R8, P[], S{x29 -> +(y',z), x30 -> x', x31 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 15 => ('+(z',+(z,+(y',x')))', D2, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 16 => ('+(+(z',y'),+(x',z))', D2, R5, P[], S{x20 -> z', x21 -> y', x22 -> +(x',z)}), NR: '+(+(z',y'),+(x',z))'
ID: 17 => ('+(z',+(+(y',x'),z))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z}), NR: '+(+(y',x'),z)'
ID: 18 => ('+(+(z',+(x',z)),y')', D2, R6, P[], S{x23 -> z', x24 -> +(x',z), x25 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 19 => ('+(z',+(+(y',z),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 20 => ('+(y',+(+(x',z),z'))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z), x28 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 21 => ('+(z',+(x',+(z,y')))', D2, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 22 => ('+(+(x',z),+(y',z'))', D2, R8, P[], S{x29 -> +(x',z), x30 -> y', x31 -> z'}), NR: '+(+(x',z),+(y',z'))'
ID: 23 => ('+(z',+(z,+(x',y')))', D2, R8, P[2], S{x29 -> z, x30 -> x', x31 -> y'}), NR: '+(z,+(x',y'))'
ID: 24 => ('+(+(z',+(z,x')),y')', D2, R5, P[], S{x20 -> z', x21 -> +(z,x'), x22 -> y'}), NR: '+(+(z',+(z,x')),y')'
ID: 25 => ('+(+(z',y'),+(z,x'))', D2, R6, P[], S{x23 -> z', x24 -> y', x25 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 26 => ('+(+(z,x'),+(y',z'))', D2, R7, P[], S{x26 -> +(z,x'), x27 -> y', x28 -> z'}), NR: '+(+(z,x'),+(y',z'))'
ID: 27 => ('+(y',+(+(z,x'),z'))', D2, R8, P[], S{x29 -> y', x30 -> +(z,x'), x31 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 28 => ('+(+(z',+(z,y')),x')', D2, R5, P[], S{x20 -> z', x21 -> +(z,y'), x22 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 29 => ('+(+(z',x'),+(z,y'))', D2, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 30 => ('+(+(z,y'),+(x',z'))', D2, R7, P[], S{x26 -> +(z,y'), x27 -> x', x28 -> z'}), NR: '+(+(z,y'),+(x',z'))'
ID: 31 => ('+(x',+(+(z,y'),z'))', D2, R8, P[], S{x29 -> x', x30 -> +(z,y'), x31 -> z'}), NR: '+(x',+(+(z,y'),z'))'
ID: 32 => ('+(+(x',y'),+(z',z))', D2, R2, P[], S{x11 -> +(x',y'), x12 -> z', x13 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 33 => ('+(+(z,z'),+(x',y'))', D2, R3, P[], S{x14 -> z, x15 -> z', x16 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 34 => ('+(+(z,+(x',y')),z')', D2, R4, P[], S{x17 -> z, x18 -> +(x',y'), x19 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 35 => ('+(+(+(z',x'),y'),z)', D2, R5, P[1], S{x20 -> z', x21 -> x', x22 -> y'}), NR: '+(+(z',x'),y')'
ID: 36 => ('+(+(+(z',y'),x'),z)', D2, R6, P[1], S{x23 -> z', x24 -> y', x25 -> x'}), NR: '+(+(z',y'),x')'
ID: 37 => ('+(+(x',+(y',z')),z)', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z'}), NR: '+(x',+(y',z'))'
ID: 38 => ('+(+(y',+(x',z')),z)', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z'}), NR: '+(y',+(x',z'))'
ID: 39 => ('+(z,+(z',+(x',y')))', D2, R2, P[], S{x11 -> z, x12 -> z', x13 -> +(x',y')}), NR: '+(z,+(z',+(x',y')))'
ID: 40 => ('+(+(+(x',y'),z'),z)', D2, R3, P[], S{x14 -> +(x',y'), x15 -> z', x16 -> z}), NR: '+(+(+(x',y'),z'),z)'
ID: 41 => ('+(+(+(x',y'),z),z')', D2, R4, P[], S{x17 -> +(x',y'), x18 -> z, x19 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 42 => ('+(+(+(z',z),x'),y')', D2, R5, P[], S{x20 -> +(z',z), x21 -> x', x22 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 43 => ('+(+(+(z',z),y'),x')', D2, R6, P[], S{x23 -> +(z',z), x24 -> y', x25 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 44 => ('+(x',+(y',+(z',z)))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z',z)}), NR: '+(x',+(y',+(z',z)))'
ID: 45 => ('+(y',+(x',+(z',z)))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 46 => ('+(x',+(y',+(z,z')))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 47 => ('+(y',+(x',+(z,z')))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 48 => ('+(+(+(z,z'),x'),y')', D2, R3, P[], S{x14 -> +(z,z'), x15 -> x', x16 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 49 => ('+(+(+(z,z'),y'),x')', D2, R4, P[], S{x17 -> +(z,z'), x18 -> y', x19 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 50 => ('+(z,+(x',+(y',z')))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 51 => ('+(z,+(y',+(x',z')))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 52 => ('+(z,+(+(z',x'),y'))', D2, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 53 => ('+(z,+(+(z',y'),x'))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 54 => ('+(x',+(z',+(y',z)))', D3, R2, P[], S{x11 -> x', x12 -> z', x13 -> +(y',z)}), NR: '+(x',+(z',+(y',z)))'
ID: 55 => ('+(+(+(y',z),z'),x')', D3, R3, P[], S{x14 -> +(y',z), x15 -> z', x16 -> x'}), NR: '+(+(+(y',z),z'),x')'
ID: 56 => ('+(+(+(y',z),x'),z')', D3, R4, P[], S{x17 -> +(y',z), x18 -> x', x19 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 57 => ('+(+(+(z',x'),z),y')', D3, R6, P[], S{x23 -> +(z',x'), x24 -> z, x25 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 58 => ('+(y',+(z,+(z',x')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 59 => ('+(z,+(y',+(z',x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(z',x')}), NR: '+(z,+(y',+(z',x')))'
ID: 60 => ('+(+(y',z),+(z',x'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> z', x13 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 61 => ('+(+(x',z'),+(y',z))', D3, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(y',z)}), NR: '+(+(x',z'),+(y',z))'
ID: 62 => ('+(+(x',+(y',z)),z')', D3, R4, P[], S{x17 -> x', x18 -> +(y',z), x19 -> z'}), NR: '+(+(x',+(y',z)),z')'
ID: 63 => ('+(+(+(z',y'),z),x')', D3, R5, P[1], S{x20 -> z', x21 -> y', x22 -> z}), NR: '+(+(z',y'),z)'
ID: 64 => ('+(+(y',+(z,z')),x')', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> z'}), NR: '+(y',+(z,z'))'
ID: 65 => ('+(+(z,+(y',z')),x')', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> z'}), NR: '+(z,+(y',z'))'
ID: 66 => ('+(x',+(z,+(y',z')))', D3, R2, P[2], S{x11 -> z, x12 -> y', x13 -> z'}), NR: '+(z,+(y',z'))'
ID: 67 => ('+(x',+(+(z',y'),z))', D3, R3, P[2], S{x14 -> z', x15 -> y', x16 -> z}), NR: '+(+(z',y'),z)'
ID: 68 => ('+(x',+(+(z',z),y'))', D3, R4, P[2], S{x17 -> z', x18 -> z, x19 -> y'}), NR: '+(+(z',z),y')'
ID: 69 => ('+(y',+(z,+(x',z')))', D3, R1, P[], S{x8 -> y', x9 -> z, x10 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 70 => ('+(+(+(x',z'),y'),z)', D3, R3, P[], S{x14 -> +(x',z'), x15 -> y', x16 -> z}), NR: '+(+(+(x',z'),y'),z)'
ID: 71 => ('+(+(+(x',z'),z),y')', D3, R4, P[], S{x17 -> +(x',z'), x18 -> z, x19 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 72 => ('+(+(z',z),+(y',x'))', D3, R5, P[], S{x20 -> z', x21 -> z, x22 -> +(y',x')}), NR: '+(+(z',z),+(y',x'))'
ID: 73 => ('+(+(z',+(y',x')),z)', D3, R6, P[], S{x23 -> z', x24 -> +(y',x'), x25 -> z}), NR: '+(+(z',+(y',x')),z)'
ID: 74 => ('+(z,+(+(y',x'),z'))', D3, R7, P[], S{x26 -> z, x27 -> +(y',x'), x28 -> z'}), NR: '+(z,+(+(y',x'),z'))'
ID: 75 => ('+(+(y',x'),+(z,z'))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z, x31 -> z'}), NR: '+(+(y',x'),+(z,z'))'
ID: 76 => ('+(y',+(z',+(x',z)))', D3, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 77 => ('+(+(+(x',z),z'),y')', D3, R3, P[], S{x14 -> +(x',z), x15 -> z', x16 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 78 => ('+(+(+(x',z),y'),z')', D3, R4, P[], S{x17 -> +(x',z), x18 -> y', x19 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 79 => ('+(x',+(z,+(z',y')))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(z',y')}), NR: '+(x',+(z,+(z',y')))'
ID: 80 => ('+(z,+(x',+(z',y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 81 => ('+(+(x',z),+(z',y'))', D3, R2, P[], S{x11 -> +(x',z), x12 -> z', x13 -> y'}), NR: '+(+(x',z),+(z',y'))'
ID: 82 => ('+(+(y',z'),+(x',z))', D3, R3, P[], S{x14 -> y', x15 -> z', x16 -> +(x',z)}), NR: '+(+(y',z'),+(x',z))'
ID: 83 => ('+(+(y',+(x',z)),z')', D3, R4, P[], S{x17 -> y', x18 -> +(x',z), x19 -> z'}), NR: '+(+(y',+(x',z)),z')'
ID: 84 => ('+(+(x',+(z,z')),y')', D3, R7, P[1], S{x26 -> x', x27 -> z, x28 -> z'}), NR: '+(x',+(z,z'))'
ID: 85 => ('+(+(z,+(x',z')),y')', D3, R8, P[1], S{x29 -> z, x30 -> x', x31 -> z'}), NR: '+(z,+(x',z'))'
ID: 86 => ('+(y',+(+(z',x'),z))', D3, R3, P[2], S{x14 -> z', x15 -> x', x16 -> z}), NR: '+(+(z',x'),z)'
ID: 87 => ('+(y',+(+(z',z),x'))', D3, R4, P[2], S{x17 -> z', x18 -> z, x19 -> x'}), NR: '+(+(z',z),x')'
ID: 88 => ('+(+(+(y',z'),x'),z)', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x', x16 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 89 => ('+(+(+(y',z'),z),x')', D3, R4, P[], S{x17 -> +(y',z'), x18 -> z, x19 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 90 => ('+(+(z,x'),+(z',y'))', D3, R2, P[], S{x11 -> +(z,x'), x12 -> z', x13 -> y'}), NR: '+(+(z,x'),+(z',y'))'
ID: 91 => ('+(+(y',z'),+(z,x'))', D3, R3, P[], S{x14 -> y', x15 -> z', x16 -> +(z,x')}), NR: '+(+(y',z'),+(z,x'))'
ID: 92 => ('+(+(y',+(z,x')),z')', D3, R4, P[], S{x17 -> y', x18 -> +(z,x'), x19 -> z'}), NR: '+(+(y',+(z,x')),z')'
ID: 93 => ('+(y',+(z',+(z,x')))', D3, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 94 => ('+(+(+(z,x'),z'),y')', D3, R3, P[], S{x14 -> +(z,x'), x15 -> z', x16 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 95 => ('+(+(+(z,x'),y'),z')', D3, R4, P[], S{x17 -> +(z,x'), x18 -> y', x19 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 96 => ('+(+(z,y'),+(z',x'))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> z', x13 -> x'}), NR: '+(+(z,y'),+(z',x'))'
ID: 97 => ('+(+(x',z'),+(z,y'))', D3, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 98 => ('+(+(x',+(z,y')),z')', D3, R4, P[], S{x17 -> x', x18 -> +(z,y'), x19 -> z'}), NR: '+(+(x',+(z,y')),z')'
ID: 99 => ('+(x',+(z',+(z,y')))', D3, R2, P[], S{x11 -> x', x12 -> z', x13 -> +(z,y')}), NR: '+(x',+(z',+(z,y')))'
ID: 100 => ('+(+(+(z,y'),z'),x')', D3, R3, P[], S{x14 -> +(z,y'), x15 -> z', x16 -> x'}), NR: '+(+(+(z,y'),z'),x')'
ID: 101 => ('+(+(+(z,y'),x'),z')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> x', x19 -> z'}), NR: '+(+(+(z,y'),x'),z')'
ID: 102 => ('+(+(x',+(z',y')),z)', D3, R2, P[1], S{x11 -> x', x12 -> z', x13 -> y'}), NR: '+(x',+(z',y'))'
ID: 103 => ('+(+(z,+(z',x')),y')', D3, R3, P[], S{x14 -> z, x15 -> +(z',x'), x16 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 104 => ('+(+(+(y',x'),z'),z)', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z'}), NR: '+(+(y',x'),z')'
ID: 105 => ('+(+(y',+(z',x')),z)', D3, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 106 => ('+(+(z,+(z',y')),x')', D3, R3, P[], S{x14 -> z, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 107 => ('+(x',+(+(y',z'),z))', D3, R1, P[], S{x8 -> x', x9 -> +(y',z'), x10 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 108 => ('+(y',+(+(x',z'),z))', D3, R1, P[], S{x8 -> y', x9 -> +(x',z'), x10 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 109 => ('+(+(y',+(z',z)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z',z), x16 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 110 => ('+(+(y',x'),+(z',z))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 111 => ('+(+(x',+(z',z)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z',z), x16 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 112 => ('+(y',+(+(z,z'),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z,z'), x28 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 113 => ('+(+(z,z'),+(y',x'))', D3, R8, P[], S{x29 -> +(z,z'), x30 -> y', x31 -> x'}), NR: '+(+(z,z'),+(y',x'))'
ID: 114 => ('+(x',+(+(z,z'),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z,z'), x28 -> y'}), NR: '+(x',+(+(z,z'),y'))'
ID: 115 => ('+(z,+(+(x',z'),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 116 => ('+(z,+(z',+(y',x')))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 117 => ('+(z,+(+(y',z'),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 118 => ('+(+(z,+(y',x')),z')', D4, R2, P[1], S{x11 -> z, x12 -> y', x13 -> x'}), NR: '+(z,+(y',x'))'
ID: 119 => ('+(+(+(y',x'),z),z')', D4, R4, P[], S{x17 -> +(y',x'), x18 -> z, x19 -> z'}), NR: '+(+(+(y',x'),z),z')'
SNodesPath1: +(z,+(x',+(y',z')))
TNodesPath1: +(z',+(+(x',y'),z)) -> +(z',+(x',+(y',z))) -> +(+(z',x'),+(y',z)) -> +(+(+(z',x'),y'),z) -> +(+(z',+(x',y')),z) -> +(+(x',y'),+(z',z)) -> +(z',+(z,+(x',y'))) -> +(z',+(y',+(x',z))) -> +(+(z',y'),+(x',z)) -> +(+(+(z',y'),x'),z) -> +(+(+(x',y'),z'),z) -> +(+(z,z'),+(x',y')) -> +(z,+(z',+(x',y'))) -> +(+(z,+(x',y')),z') -> +(+(z',z),+(x',y')) -> +(+(+(x',y'),z),z') -> +(+(x',y'),+(z,z')) -> +(x',+(y',+(z,z'))) -> +(x',+(+(y',z),z')) -> +(z',+(+(y',z),x')) -> +(+(z',+(y',z)),x') -> +(+(+(z',z),y'),x') -> +(+(z',+(z,y')),x') -> +(z',+(+(z,y'),x')) -> +(z',+(+(x',z),y')) -> +(z',+(+(y',x'),z)) -> +(z',+(+(z,x'),y')) -> +(z',+(x',+(z,y'))) -> +(z',+(y',+(z,x'))) -> +(+(z',+(z,x')),y') -> +(+(+(z',z),x'),y') -> +(x',+(+(z',z),y')) -> +(+(z',z),+(y',x')) -> +(z',+(z,+(y',x'))) -> +(+(z',+(y',x')),z) -> +(+(x',+(y',z')),z) -> +(+(z,x'),+(y',z')) -> +(z,+(x',+(y',z')))
SNodesPath2: +(z,+(x',+(y',z'))) -> +(+(z,x'),+(y',z')) -> +(x',+(z,+(y',z'))) -> +(z,+(+(y',z'),x')) -> +(z,+(+(x',y'),z')) -> +(z,+(y',+(x',z'))) -> +(z,+(x',+(z',y'))) -> +(z,+(+(x',z'),y')) -> +(z,+(z',+(x',y'))) -> +(z,+(+(z',x'),y')) -> +(z,+(+(y',x'),z')) -> +(z,+(+(z',y'),x')) -> +(z,+(y',+(z',x'))) -> +(+(z,y'),+(z',x')) -> +(+(+(z,y'),z'),x') -> +(+(z,+(y',z')),x') -> +(+(y',z'),+(z,x')) -> +(+(+(y',z'),z),x') -> +(+(x',z),+(y',z')) -> +(+(+(y',z'),x'),z) -> +(x',+(+(y',z'),z)) -> +(+(x',+(y',z')),z) -> +(+(y',z'),+(x',z)) -> +(y',+(z',+(x',z))) -> +(y',+(+(z',x'),z)) -> +(+(y',+(z',x')),z) -> +(+(z,+(z',x')),y') -> +(+(+(z,x'),z'),y') -> +(+(z,+(x',z')),y') -> +(+(+(z,z'),x'),y') -> +(+(z,z'),+(x',y')) -> +(+(+(z,z'),y'),x') -> +(+(z,z'),+(y',x')) -> +(z,+(z',+(y',x'))) -> +(+(z,+(y',x')),z') -> +(+(+(z,x'),y'),z') -> +(+(z,+(x',y')),z') -> +(+(x',y'),+(z,z')) -> +(+(+(x',y'),z'),z) -> +(+(x',y'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(y',+(+(z',z),x')) -> +(y',+(z',+(z,x'))) -> +(+(z,x'),+(z',y')) -> +(z',+(y',+(z,x'))) -> +(z',+(+(y',x'),z)) -> +(z',+(y',+(x',z))) -> +(z',+(+(y',z),x')) -> +(z',+(+(x',y'),z))
TNodesPath2: +(z',+(+(x',y'),z))
+(z,+(x',+(y',z'))) ->= +(z,+(x',+(y',z'))) *<- +(z',+(+(x',y'),z))
+(z',+(+(x',y'),z)) ->= +(z',+(+(x',y'),z)) *<- +(z,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.4: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),z),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N14
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),z)
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79,24),(79,36),(79,68),(79,70),(79,74),(79,82),(79,83),(79,84),(80,36),(80,38),(80,64),(80,70),(80,74),(80,84),(80,85),(80,86),(81,16),(81,17),(81,18),(81,19),(81,30),(81,103),(81,110),(81,118),(82,17),(82,41),(82,43),(82,49),(82,56),(82,92),(82,105),(82,117),(83,5),(83,50),(83,62),(83,79),(83,95),(83,104),(83,106),(83,107),(84,2),(84,9),(84,76),(84,77),(84,78),(84,79),(84,80),(84,81),(85,11),(85,25),(85,34),(85,53),(85,80),(85,108),(85,109),(85,114),(86,14),(86,18),(86,66),(86,89),(86,96),(86,97),(86,98),(86,99),(87,12),(87,19),(87,26),(87,45),(87,102),(87,106),(87,112),(87,115),(88,12),(88,19),(88,32),(88,40),(88,96),(88,111),(88,112),(88,115),(89,22),(89,23),(89,24),(89,25),(89,26),(89,58),(89,113),(89,119),(90,35),(90,46),(90,47),(90,48),(90,49),(90,94),(90,107),(90,118),(91,22),(91,38),(91,39),(91,40),(91,41),(91,58),(91,113),(91,119),(92,14),(92,50),(92,62),(92,79),(92,89),(92,95),(92,96),(92,97),(93,20),(93,23),(93,67),(93,71),(93,75),(93,76),(93,104),(93,105),(94,22),(94,23),(94,24),(94,25),(94,26),(94,58),(94,113),(94,119),(95,11),(95,17),(95,34),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,55),(96,86),(96,88),(96,92),(96,93),(96,94),(97,3),(97,33),(97,69),(97,77),(97,86),(97,92),(97,94),(97,100),(98,8),(98,38),(98,59),(98,64),(98,85),(98,86),(98,115),(98,116),(99,25),(99,43),(99,49),(99,53),(99,56),(99,80),(99,105),(99,108),(100,6),(100,39),(100,57),(100,65),(100,87),(100,97),(100,109),(100,110),(101,7),(101,31),(101,62),(101,64),(101,65),(101,78),(101,112),(101,113),(102,20),(102,39),(102,57),(102,67),(102,75),(102,87),(102,97),(102,105),(103,15),(103,31),(103,32),(103,33),(103,34),(103,81),(103,116),(103,119),(104,13),(104,42),(104,55),(104,83),(104,88),(104,91),(104,93),(104,108),(105,4),(105,10),(105,82),(105,93),(105,99),(105,101),(105,102),(105,103),(106,13),(106,33),(106,69),(106,77),(106,83),(106,91),(106,100),(106,108),(107,22),(107,38),(107,39),(107,40),(107,41),(107,58),(107,113),(107,119),(108,5),(108,18),(108,66),(108,98),(108,99),(108,104),(108,106),(108,107),(109,21),(109,46),(109,54),(109,72),(109,85),(109,95),(109,100),(109,111),(110,15),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,119),(111,6),(111,23),(111,65),(111,71),(111,76),(111,104),(111,109),(111,110),(112,29),(112,52),(112,69),(112,70),(112,71),(112,90),(112,101),(112,114),(113,35),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,118),(114,7),(114,44),(114,66),(114,67),(114,68),(114,78),(114,112),(114,113),(115,37),(115,47),(115,61),(115,73),(115,87),(115,88),(115,98),(115,117),(116,30),(116,50),(116,51),(116,52),(116,53),(116,103),(116,110),(116,118),(117,8),(117,24),(117,59),(117,68),(117,82),(117,83),(117,115),(117,116),(118,60),(118,72),(118,73),(118,74),(118,75),(118,89),(118,90),(118,91),(119,60),(119,72),(119,73),(119,74),(119,75),(119,89),(119,90),(119,91)]
ID: 0 => ('+(+(+(x',y'),z'),z)', D0)
ID: 1 => ('+(+(x',y'),+(z',z))', D1, R1, P[], S{x8 -> +(x',y'), x9 -> z', x10 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 2 => ('+(+(x',+(y',z')),z)', D1, R1, P[1], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 3 => ('+(z',+(+(x',y'),z))', D1, R2, P[], S{x11 -> z', x12 -> +(x',y'), x13 -> z}), NR: '+(z',+(+(x',y'),z))'
ID: 4 => ('+(+(y',+(x',z')),z)', D1, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 5 => ('+(+(z,+(x',y')),z')', D1, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 6 => ('+(+(+(z',x'),y'),z)', D1, R3, P[1], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 7 => ('+(+(z,z'),+(x',y'))', D1, R4, P[], S{x17 -> z, x18 -> z', x19 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 8 => ('+(+(+(z',y'),x'),z)', D1, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 9 => ('+(x',+(y',+(z',z)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',z)}), NR: '+(x',+(y',+(z',z)))'
ID: 10 => ('+(y',+(x',+(z',z)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 11 => ('+(+(+(z',z),x'),y')', D2, R3, P[], S{x14 -> +(z',z), x15 -> x', x16 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 12 => ('+(+(+(z',z),y'),x')', D2, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 13 => ('+(+(+(x',y'),z),z')', D2, R6, P[], S{x23 -> +(x',y'), x24 -> z, x25 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 14 => ('+(z',+(z,+(x',y')))', D2, R7, P[], S{x26 -> z', x27 -> z, x28 -> +(x',y')}), NR: '+(z',+(z,+(x',y')))'
ID: 15 => ('+(z,+(z',+(x',y')))', D2, R8, P[], S{x29 -> z, x30 -> z', x31 -> +(x',y')}), NR: '+(z,+(z',+(x',y')))'
ID: 16 => ('+(x',+(+(y',z'),z))', D2, R1, P[], S{x8 -> x', x9 -> +(y',z'), x10 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 17 => ('+(+(y',z'),+(x',z))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x', x13 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 18 => ('+(+(z,x'),+(y',z'))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 19 => ('+(+(z,+(y',z')),x')', D2, R4, P[], S{x17 -> z, x18 -> +(y',z'), x19 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 20 => ('+(+(+(x',z'),y'),z)', D2, R6, P[1], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 21 => ('+(+(y',+(z',x')),z)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 22 => ('+(+(z',+(y',x')),z)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 23 => ('+(z',+(x',+(y',z)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 24 => ('+(z',+(y',+(x',z)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 25 => ('+(z',+(+(z,x'),y'))', D2, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 26 => ('+(z',+(+(z,y'),x'))', D2, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 27 => ('+(+(z',+(x',y')),z)', D2, R5, P[], S{x20 -> z', x21 -> +(x',y'), x22 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 28 => ('+(+(z',z),+(x',y'))', D2, R6, P[], S{x23 -> z', x24 -> z, x25 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 29 => ('+(+(x',y'),+(z,z'))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z, x28 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 30 => ('+(z,+(+(x',y'),z'))', D2, R8, P[], S{x29 -> z, x30 -> +(x',y'), x31 -> z'}), NR: '+(z,+(+(x',y'),z'))'
ID: 31 => ('+(y',+(+(x',z'),z))', D2, R1, P[], S{x8 -> y', x9 -> +(x',z'), x10 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 32 => ('+(+(x',z'),+(y',z))', D2, R2, P[], S{x11 -> +(x',z'), x12 -> y', x13 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 33 => ('+(+(z,y'),+(x',z'))', D2, R3, P[], S{x14 -> z, x15 -> y', x16 -> +(x',z')}), NR: '+(+(z,y'),+(x',z'))'
ID: 34 => ('+(+(z,+(x',z')),y')', D2, R4, P[], S{x17 -> z, x18 -> +(x',z'), x19 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 35 => ('+(+(+(y',x'),z'),z)', D2, R5, P[1], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 36 => ('+(+(+(y',z'),x'),z)', D2, R6, P[1], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 37 => ('+(+(x',+(z',y')),z)', D2, R7, P[1], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 38 => ('+(+(+(z,x'),y'),z')', D2, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 39 => ('+(+(+(z,y'),x'),z')', D2, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 40 => ('+(+(x',+(y',z)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 41 => ('+(+(y',+(x',z)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 42 => ('+(+(z',x'),+(y',z))', D2, R1, P[], S{x8 -> +(z',x'), x9 -> y', x10 -> z}), NR: '+(+(z',x'),+(y',z))'
ID: 43 => ('+(y',+(+(z',x'),z))', D2, R2, P[], S{x11 -> y', x12 -> +(z',x'), x13 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 44 => ('+(+(z,+(z',x')),y')', D2, R3, P[], S{x14 -> z, x15 -> +(z',x'), x16 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 45 => ('+(+(z,y'),+(z',x'))', D2, R4, P[], S{x17 -> z, x18 -> y', x19 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 46 => ('+(+(+(z,z'),x'),y')', D2, R5, P[], S{x20 -> +(z,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 47 => ('+(+(+(z,z'),y'),x')', D2, R6, P[], S{x23 -> +(z,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 48 => ('+(x',+(y',+(z,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 49 => ('+(y',+(x',+(z,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 50 => ('+(+(z',y'),+(x',z))', D2, R1, P[], S{x8 -> +(z',y'), x9 -> x', x10 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 51 => ('+(x',+(+(z',y'),z))', D2, R2, P[], S{x11 -> x', x12 -> +(z',y'), x13 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 52 => ('+(+(z,+(z',y')),x')', D2, R3, P[], S{x14 -> z, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 53 => ('+(+(z,x'),+(z',y'))', D2, R4, P[], S{x17 -> z, x18 -> x', x19 -> +(z',y')}), NR: '+(+(z,x'),+(z',y'))'
ID: 54 => ('+(+(x',+(z',z)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(z',z), x25 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 55 => ('+(x',+(+(y',z),z'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 56 => ('+(y',+(+(z',z),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',z), x28 -> x'}), NR: '+(y',+(+(z',z),x'))'
ID: 57 => ('+(x',+(z',+(z,y')))', D3, R7, P[2], S{x26 -> z', x27 -> z, x28 -> y'}), NR: '+(z',+(z,y'))'
ID: 58 => ('+(+(z',z),+(y',x'))', D3, R8, P[], S{x29 -> +(z',z), x30 -> y', x31 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 59 => ('+(x',+(z,+(z',y')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 60 => ('+(+(y',x'),+(z',z))', D3, R5, P[], S{x20 -> y', x21 -> x', x22 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 61 => ('+(+(y',+(z',z)),x')', D3, R6, P[], S{x23 -> y', x24 -> +(z',z), x25 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 62 => ('+(y',+(+(x',z),z'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> z'}), NR: '+(+(x',z),z')'
ID: 63 => ('+(x',+(+(z',z),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',z), x28 -> y'}), NR: '+(x',+(+(z',z),y'))'
ID: 64 => ('+(y',+(z',+(z,x')))', D3, R7, P[2], S{x26 -> z', x27 -> z, x28 -> x'}), NR: '+(z',+(z,x'))'
ID: 65 => ('+(y',+(z,+(z',x')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> x'}), NR: '+(z,+(z',x'))'
ID: 66 => ('+(+(z',+(z,x')),y')', D3, R1, P[1], S{x8 -> z', x9 -> z, x10 -> x'}), NR: '+(z',+(z,x'))'
ID: 67 => ('+(+(+(x',z'),z),y')', D3, R3, P[1], S{x14 -> x', x15 -> z', x16 -> z}), NR: '+(+(x',z'),z)'
ID: 68 => ('+(+(+(x',z),z'),y')', D3, R4, P[1], S{x17 -> x', x18 -> z, x19 -> z'}), NR: '+(+(x',z),z')'
ID: 69 => ('+(+(z',+(z,y')),x')', D3, R1, P[1], S{x8 -> z', x9 -> z, x10 -> y'}), NR: '+(z',+(z,y'))'
ID: 70 => ('+(+(+(y',z'),z),x')', D3, R3, P[1], S{x14 -> y', x15 -> z', x16 -> z}), NR: '+(+(y',z'),z)'
ID: 71 => ('+(+(+(y',z),z'),x')', D3, R4, P[1], S{x17 -> y', x18 -> z, x19 -> z'}), NR: '+(+(y',z),z')'
ID: 72 => ('+(z,+(+(z',x'),y'))', D3, R5, P[2], S{x20 -> z', x21 -> x', x22 -> y'}), NR: '+(+(z',x'),y')'
ID: 73 => ('+(z,+(+(z',y'),x'))', D3, R6, P[2], S{x23 -> z', x24 -> y', x25 -> x'}), NR: '+(+(z',y'),x')'
ID: 74 => ('+(z,+(x',+(y',z')))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> z'}), NR: '+(x',+(y',z'))'
ID: 75 => ('+(z,+(y',+(x',z')))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> z'}), NR: '+(y',+(x',z'))'
ID: 76 => ('+(x',+(z',+(y',z)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 77 => ('+(x',+(+(z,y'),z'))', D3, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 78 => ('+(x',+(+(z,z'),y'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 79 => ('+(+(x',z),+(y',z'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 80 => ('+(+(y',z'),+(z,x'))', D3, R7, P[], S{x26 -> +(y',z'), x27 -> z, x28 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 81 => ('+(z,+(+(y',z'),x'))', D3, R8, P[], S{x29 -> z, x30 -> +(y',z'), x31 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 82 => ('+(y',+(z',+(x',z)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 83 => ('+(+(+(x',z),y'),z')', D3, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 84 => ('+(x',+(z,+(y',z')))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 85 => ('+(+(+(z,x'),z'),y')', D3, R6, P[], S{x23 -> +(z,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 86 => ('+(z',+(y',+(z,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 87 => ('+(+(+(z,y'),z'),x')', D3, R5, P[1], S{x20 -> z, x21 -> y', x22 -> z'}), NR: '+(+(z,y'),z')'
ID: 88 => ('+(+(z',+(y',z)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> z}), NR: '+(z',+(y',z))'
ID: 89 => ('+(z',+(+(y',x'),z))', D3, R1, P[], S{x8 -> z', x9 -> +(y',x'), x10 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 90 => ('+(+(z,z'),+(y',x'))', D3, R3, P[], S{x14 -> z, x15 -> z', x16 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 91 => ('+(+(z,+(y',x')),z')', D3, R4, P[], S{x17 -> z, x18 -> +(y',x'), x19 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 92 => ('+(z',+(+(x',z),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 93 => ('+(+(y',z),+(x',z'))', D3, R8, P[], S{x29 -> +(y',z), x30 -> x', x31 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 94 => ('+(z',+(z,+(y',x')))', D3, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 95 => ('+(+(z',+(x',z)),y')', D3, R6, P[], S{x23 -> z', x24 -> +(x',z), x25 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 96 => ('+(z',+(+(y',z),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 97 => ('+(z',+(x',+(z,y')))', D3, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 98 => ('+(+(z',y'),+(z,x'))', D3, R6, P[], S{x23 -> z', x24 -> y', x25 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 99 => ('+(y',+(+(z,x'),z'))', D3, R8, P[], S{x29 -> y', x30 -> +(z,x'), x31 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 100 => ('+(+(z',x'),+(z,y'))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 101 => ('+(y',+(+(z,z'),x'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> x'}), NR: '+(+(z,z'),x')'
ID: 102 => ('+(+(x',z'),+(z,y'))', D3, R7, P[], S{x26 -> +(x',z'), x27 -> z, x28 -> y'}), NR: '+(+(x',z'),+(z,y'))'
ID: 103 => ('+(z,+(+(x',z'),y'))', D3, R8, P[], S{x29 -> z, x30 -> +(x',z'), x31 -> y'}), NR: '+(z,+(+(x',z'),y'))'
ID: 104 => ('+(+(+(y',z),x'),z')', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 105 => ('+(y',+(z,+(x',z')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 106 => ('+(+(x',+(z,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 107 => ('+(+(+(y',x'),z),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 108 => ('+(+(y',+(z,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> x'}), NR: '+(y',+(z,x'))'
ID: 109 => ('+(+(+(z',x'),z),y')', D3, R6, P[], S{x23 -> +(z',x'), x24 -> z, x25 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 110 => ('+(z,+(y',+(z',x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(z',x')}), NR: '+(z,+(y',+(z',x')))'
ID: 111 => ('+(+(y',z),+(z',x'))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(z',x')}), NR: '+(+(y',z),+(z',x'))'
ID: 112 => ('+(+(y',+(z,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z,z'), x16 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 113 => ('+(+(y',x'),+(z,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z,z')}), NR: '+(+(y',x'),+(z,z'))'
ID: 114 => ('+(+(x',+(z,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z,z'), x16 -> y'}), NR: '+(+(x',+(z,z')),y')'
ID: 115 => ('+(+(+(z',y'),z),x')', D3, R6, P[], S{x23 -> +(z',y'), x24 -> z, x25 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 116 => ('+(z,+(x',+(z',y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 117 => ('+(+(x',z),+(z',y'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(z',y')}), NR: '+(+(x',z),+(z',y'))'
ID: 118 => ('+(z,+(z',+(y',x')))', D4, R2, P[], S{x11 -> z, x12 -> z', x13 -> +(y',x')}), NR: '+(z,+(z',+(y',x')))'
ID: 119 => ('+(z,+(+(y',x'),z'))', D4, R4, P[2], S{x17 -> y', x18 -> x', x19 -> z'}), NR: '+(+(y',x'),z')'
t: +(+(z',y'),+(x',z))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,16),(3,18),(3,20),(3,22),(3,24),(3,25),(3,26),(3,27),(4,0),(4,10),(4,12),(4,14),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,22),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,22),(7,39),(7,41),(7,43),(7,46),(7,47),(7,48),(7,49),(8,0),(8,33),(8,35),(8,37),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,16),(10,18),(10,20),(10,22),(10,24),(10,25),(10,26),(10,27),(11,20),(11,40),(11,60),(11,61),(11,62),(11,63),(11,64),(11,65),(12,16),(12,17),(12,18),(12,19),(12,20),(12,21),(12,22),(12,23),(13,20),(13,47),(13,60),(13,61),(13,62),(13,66),(13,67),(13,68),(14,1),(14,2),(14,3),(14,4),(14,69),(14,70),(14,71),(14,72),(15,1),(15,51),(15,54),(15,55),(15,56),(15,73),(15,74),(15,75),(16,1),(16,2),(16,3),(16,4),(16,69),(16,70),(16,71),(16,72),(17,2),(17,34),(17,66),(17,76),(17,77),(17,78),(17,79),(17,80),(18,0),(18,10),(18,12),(18,14),(18,28),(18,29),(18,30),(18,31),(19,12),(19,42),(19,73),(19,81),(19,82),(19,83),(19,84),(19,85),(20,0),(20,9),(20,10),(20,11),(20,12),(20,13),(20,14),(20,15),(21,12),(21,46),(21,58),(21,81),(21,82),(21,83),(21,86),(21,87),(22,1),(22,2),(22,3),(22,4),(22,5),(22,6),(22,7),(22,8),(23,2),(23,50),(23,64),(23,76),(23,77),(23,78),(23,88),(23,89),(24,3),(24,46),(24,58),(24,86),(24,87),(24,90),(24,91),(24,92),(25,10),(25,50),(25,64),(25,88),(25,89),(25,93),(25,94),(25,95),(26,10),(26,34),(26,66),(26,79),(26,80),(26,93),(26,94),(26,95),(27,3),(27,42),(27,73),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,47),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,18),(29,51),(29,73),(29,74),(29,75),(29,99),(29,100),(29,101),(30,18),(30,32),(30,57),(30,58),(30,59),(30,99),(30,100),(30,101),(31,4),(31,40),(31,63),(31,64),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,84),(32,88),(32,97),(32,102),(32,103),(32,104),(33,22),(33,39),(33,41),(33,43),(33,46),(33,47),(33,48),(33,49),(34,17),(34,43),(34,63),(34,71),(34,74),(34,91),(34,105),(34,106),(35,22),(35,39),(35,40),(35,41),(35,42),(35,43),(35,44),(35,45),(36,25),(36,43),(36,68),(36,71),(36,74),(36,83),(36,106),(36,107),(37,5),(37,6),(37,7),(37,8),(37,60),(37,81),(37,93),(37,99),(38,5),(38,29),(38,62),(38,87),(38,88),(38,103),(38,104),(38,108),(39,5),(39,6),(39,7),(39,8),(39,60),(39,81),(39,93),(39,99),(40,6),(40,11),(40,79),(40,86),(40,101),(40,107),(40,109),(40,110),(41,0),(41,33),(41,35),(41,37),(41,50),(41,51),(41,52),(41,53),(42,19),(42,35),(42,57),(42,67),(42,72),(42,95),(42,108),(42,111),(43,0),(43,32),(43,33),(43,34),(43,35),(43,36),(43,37),(43,38),(44,24),(44,35),(44,67),(44,72),(44,75),(44,77),(44,102),(44,111),(45,6),(45,28),(45,55),(45,86),(45,89),(45,105),(45,109),(45,110),(46,7),(46,24),(46,65),(46,75),(46,77),(46,102),(46,112),(46,113),(47,28),(47,33),(47,55),(47,69),(47,85),(47,89),(47,105),(47,114),(48,11),(48,33),(48,69),(48,79),(48,85),(48,101),(48,107),(48,114),(49,7),(49,19),(49,57),(49,65),(49,95),(49,108),(49,112),(49,113),(50,8),(50,25),(50,59),(50,68),(50,83),(50,107),(50,115),(50,116),(51,29),(51,41),(51,62),(51,70),(51,80),(51,87),(51,108),(51,117),(52,9),(52,41),(52,70),(52,80),(52,84),(52,97),(52,102),(52,117),(53,8),(53,17),(53,59),(53,63),(53,91),(53,105),(53,115),(53,116),(54,20),(54,40),(54,60),(54,61),(54,62),(54,63),(54,64),(54,65),(55,20),(55,47),(55,60),(55,61),(55,62),(55,66),(55,67),(55,68),(56,9),(56,11),(56,13),(56,15),(56,39),(56,78),(56,92),(56,118),(57,27),(57,30),(57,49),(57,52),(57,61),(57,76),(57,106),(57,109),(58,21),(58,30),(58,44),(58,52),(58,61),(58,94),(58,106),(58,114),(59,9),(59,41),(59,70),(59,80),(59,84),(59,97),(59,102),(59,117),(60,9),(60,11),(60,13),(60,15),(60,39),(60,78),(60,92),(60,118),(61,1),(61,32),(61,54),(61,55),(61,56),(61,57),(61,58),(61,59),(62,1),(62,51),(62,54),(62,55),(62,56),(62,73),(62,74),(62,75),(63,26),(63,31),(63,48),(63,53),(63,54),(63,82),(63,103),(63,111),(64,23),(64,31),(64,36),(64,48),(64,54),(64,90),(64,111),(64,117),(65,11),(65,33),(65,69),(65,79),(65,85),(65,101),(65,107),(65,114),(66,13),(66,26),(66,45),(66,53),(66,82),(66,100),(66,103),(66,112),(67,6),(67,28),(67,55),(67,86),(67,89),(67,105),(67,109),(67,110),(68,13),(68,23),(68,36),(68,45),(68,90),(68,100),(68,112),(68,117),(69,14),(69,46),(69,47),(69,48),(69,49),(69,104),(69,116),(69,119),(70,16),(70,50),(70,51),(70,52),(70,53),(70,110),(70,113),(70,118),(71,16),(71,32),(71,34),(71,36),(71,38),(71,110),(71,113),(71,118),(72,14),(72,40),(72,42),(72,44),(72,45),(72,104),(72,116),(72,119),(73,15),(73,27),(73,38),(73,49),(73,76),(73,96),(73,109),(73,115),(74,5),(74,29),(74,62),(74,87),(74,88),(74,103),(74,104),(74,108),(75,15),(75,21),(75,38),(75,44),(75,94),(75,96),(75,114),(75,115),(76,12),(76,42),(76,73),(76,81),(76,82),(76,83),(76,84),(76,85),(77,12),(77,46),(77,58),(77,81),(77,82),(77,83),(77,86),(77,87),(78,17),(78,19),(78,21),(78,23),(78,37),(78,56),(78,98),(78,119),(79,26),(79,31),(79,48),(79,53),(79,54),(79,82),(79,103),(79,111),(80,8),(80,17),(80,59),(80,63),(80,91),(80,105),(80,115),(80,116),(81,17),(81,19),(81,21),(81,23),(81,37),(81,56),(81,98),(81,119),(82,2),(82,34),(82,66),(82,76),(82,77),(82,78),(82,79),(82,80),(83,2),(83,50),(83,64),(83,76),(83,77),(83,78),(83,88),(83,89),(84,27),(84,30),(84,49),(84,52),(84,61),(84,76),(84,106),(84,109),(85,7),(85,19),(85,57),(85,65),(85,95),(85,108),(85,112),(85,113),(86,24),(86,35),(86,67),(86,72),(86,75),(86,77),(86,102),(86,111),(87,15),(87,21),(87,38),(87,44),(87,94),(87,96),(87,114),(87,115),(88,25),(88,43),(88,68),(88,71),(88,74),(88,83),(88,106),(88,107),(89,13),(89,23),(89,36),(89,45),(89,90),(89,100),(89,112),(89,117),(90,10),(90,50),(90,64),(90,88),(90,89),(90,93),(90,94),(90,95),(91,10),(91,34),(91,66),(91,79),(91,80),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,37),(92,56),(92,98),(92,119),(93,24),(93,25),(93,26),(93,27),(93,37),(93,56),(93,98),(93,119),(94,3),(94,46),(94,58),(94,86),(94,87),(94,90),(94,91),(94,92),(95,3),(95,42),(95,73),(95,84),(95,85),(95,90),(95,91),(95,92),(96,18),(96,51),(96,73),(96,74),(96,75),(96,99),(96,100),(96,101),(97,18),(97,32),(97,57),(97,58),(97,59),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,39),(98,78),(98,92),(98,118),(99,28),(99,29),(99,30),(99,31),(99,39),(99,78),(99,92),(99,118),(100,4),(100,47),(100,66),(100,67),(100,68),(100,96),(100,97),(100,98),(101,4),(101,40),(101,63),(101,64),(101,65),(101,96),(101,97),(101,98),(102,21),(102,30),(102,44),(102,52),(102,61),(102,94),(102,106),(102,114),(103,17),(103,43),(103,63),(103,71),(103,74),(103,91),(103,105),(103,106),(104,16),(104,32),(104,34),(104,36),(104,38),(104,110),(104,113),(104,118),(105,13),(105,26),(105,45),(105,53),(105,82),(105,100),(105,103),(105,112),(106,5),(106,9),(106,84),(106,88),(106,97),(106,102),(106,103),(106,104),(107,23),(107,31),(107,36),(107,48),(107,54),(107,90),(107,111),(107,117),(108,15),(108,27),(108,38),(108,49),(108,76),(108,96),(108,109),(108,115),(109,19),(109,35),(109,57),(109,67),(109,72),(109,95),(109,108),(109,111),(110,14),(110,40),(110,42),(110,44),(110,45),(110,104),(110,116),(110,119),(111,6),(111,11),(111,79),(111,86),(111,101),(111,107),(111,109),(111,110),(112,28),(112,33),(112,55),(112,69),(112,85),(112,89),(112,105),(112,114),(113,14),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,24),(114,65),(114,75),(114,77),(114,102),(114,112),(114,113),(115,29),(115,41),(115,62),(115,70),(115,80),(115,87),(115,108),(115,117),(116,16),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,25),(117,59),(117,68),(117,83),(117,107),(117,115),(117,116),(118,60),(118,69),(118,70),(118,71),(118,72),(118,81),(118,93),(118,99),(119,60),(119,69),(119,70),(119,71),(119,72),(119,81),(119,93),(119,99)]
ID: 0 => ('+(+(z',y'),+(x',z))', D0)
ID: 1 => ('+(z',+(y',+(x',z)))', D1, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(x',z)}), NR: '+(z',+(y',+(x',z)))'
ID: 2 => ('+(y',+(z',+(x',z)))', D1, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 3 => ('+(+(+(x',z),z'),y')', D1, R3, P[], S{x14 -> +(x',z), x15 -> z', x16 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 4 => ('+(+(+(x',z),y'),z')', D1, R4, P[], S{x17 -> +(x',z), x18 -> y', x19 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 5 => ('+(+(+(z',y'),x'),z)', D1, R5, P[], S{x20 -> +(z',y'), x21 -> x', x22 -> z}), NR: '+(+(+(z',y'),x'),z)'
ID: 6 => ('+(+(+(z',y'),z),x')', D1, R6, P[], S{x23 -> +(z',y'), x24 -> z, x25 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 7 => ('+(x',+(z,+(z',y')))', D1, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(z',y')}), NR: '+(x',+(z,+(z',y')))'
ID: 8 => ('+(z,+(x',+(z',y')))', D1, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 9 => ('+(z',+(+(y',x'),z))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z}), NR: '+(+(y',x'),z)'
ID: 10 => ('+(+(z',+(x',z)),y')', D2, R6, P[], S{x23 -> z', x24 -> +(x',z), x25 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 11 => ('+(z',+(+(y',z),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 12 => ('+(y',+(+(x',z),z'))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z), x28 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 13 => ('+(z',+(x',+(z,y')))', D2, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 14 => ('+(+(x',z),+(y',z'))', D2, R8, P[], S{x29 -> +(x',z), x30 -> y', x31 -> z'}), NR: '+(+(x',z),+(y',z'))'
ID: 15 => ('+(z',+(z,+(x',y')))', D2, R8, P[2], S{x29 -> z, x30 -> x', x31 -> y'}), NR: '+(z,+(x',y'))'
ID: 16 => ('+(+(y',z'),+(x',z))', D2, R5, P[], S{x20 -> y', x21 -> z', x22 -> +(x',z)}), NR: '+(+(y',z'),+(x',z))'
ID: 17 => ('+(y',+(+(z',x'),z))', D2, R5, P[2], S{x20 -> z', x21 -> x', x22 -> z}), NR: '+(+(z',x'),z)'
ID: 18 => ('+(+(y',+(x',z)),z')', D2, R6, P[], S{x23 -> y', x24 -> +(x',z), x25 -> z'}), NR: '+(+(y',+(x',z)),z')'
ID: 19 => ('+(y',+(+(z',z),x'))', D2, R6, P[2], S{x23 -> z', x24 -> z, x25 -> x'}), NR: '+(+(z',z),x')'
ID: 20 => ('+(z',+(+(x',z),y'))', D2, R7, P[], S{x26 -> z', x27 -> +(x',z), x28 -> y'}), NR: '+(z',+(+(x',z),y'))'
ID: 21 => ('+(y',+(x',+(z,z')))', D2, R7, P[2], S{x26 -> x', x27 -> z, x28 -> z'}), NR: '+(x',+(z,z'))'
ID: 22 => ('+(+(x',z),+(z',y'))', D2, R8, P[], S{x29 -> +(x',z), x30 -> z', x31 -> y'}), NR: '+(+(x',z),+(z',y'))'
ID: 23 => ('+(y',+(z,+(x',z')))', D2, R8, P[2], S{x29 -> z, x30 -> x', x31 -> z'}), NR: '+(z,+(x',z'))'
ID: 24 => ('+(+(x',+(z,z')),y')', D2, R1, P[1], S{x8 -> x', x9 -> z, x10 -> z'}), NR: '+(x',+(z,z'))'
ID: 25 => ('+(+(z,+(x',z')),y')', D2, R2, P[1], S{x11 -> z, x12 -> x', x13 -> z'}), NR: '+(z,+(x',z'))'
ID: 26 => ('+(+(+(z',x'),z),y')', D2, R3, P[1], S{x14 -> z', x15 -> x', x16 -> z}), NR: '+(+(z',x'),z)'
ID: 27 => ('+(+(+(z',z),x'),y')', D2, R4, P[1], S{x17 -> z', x18 -> z, x19 -> x'}), NR: '+(+(z',z),x')'
ID: 28 => ('+(+(x',+(z,y')),z')', D2, R1, P[1], S{x8 -> x', x9 -> z, x10 -> y'}), NR: '+(x',+(z,y'))'
ID: 29 => ('+(+(z,+(x',y')),z')', D2, R2, P[1], S{x11 -> z, x12 -> x', x13 -> y'}), NR: '+(z,+(x',y'))'
ID: 30 => ('+(+(+(y',x'),z),z')', D2, R3, P[1], S{x14 -> y', x15 -> x', x16 -> z}), NR: '+(+(y',x'),z)'
ID: 31 => ('+(+(+(y',z),x'),z')', D2, R4, P[1], S{x17 -> y', x18 -> z, x19 -> x'}), NR: '+(+(y',z),x')'
ID: 32 => ('+(+(z',+(y',x')),z)', D2, R1, P[1], S{x8 -> z', x9 -> y', x10 -> x'}), NR: '+(z',+(y',x'))'
ID: 33 => ('+(x',+(+(z',y'),z))', D2, R2, P[], S{x11 -> x', x12 -> +(z',y'), x13 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 34 => ('+(+(y',+(z',x')),z)', D2, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 35 => ('+(+(z,+(z',y')),x')', D2, R3, P[], S{x14 -> z, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 36 => ('+(+(+(x',z'),y'),z)', D2, R3, P[1], S{x14 -> x', x15 -> z', x16 -> y'}), NR: '+(+(x',z'),y')'
ID: 37 => ('+(+(z,x'),+(z',y'))', D2, R4, P[], S{x17 -> z, x18 -> x', x19 -> +(z',y')}), NR: '+(+(z,x'),+(z',y'))'
ID: 38 => ('+(+(+(x',y'),z'),z)', D2, R4, P[1], S{x17 -> x', x18 -> y', x19 -> z'}), NR: '+(+(x',y'),z')'
ID: 39 => ('+(+(z',y'),+(z,x'))', D2, R1, P[], S{x8 -> +(z',y'), x9 -> z, x10 -> x'}), NR: '+(+(z',y'),+(z,x'))'
ID: 40 => ('+(+(z',+(y',z)),x')', D2, R1, P[1], S{x8 -> z', x9 -> y', x10 -> z}), NR: '+(z',+(y',z))'
ID: 41 => ('+(z,+(+(z',y'),x'))', D2, R2, P[], S{x11 -> z, x12 -> +(z',y'), x13 -> x'}), NR: '+(z,+(+(z',y'),x'))'
ID: 42 => ('+(+(y',+(z',z)),x')', D2, R2, P[1], S{x11 -> y', x12 -> z', x13 -> z}), NR: '+(y',+(z',z))'
ID: 43 => ('+(+(x',+(z',y')),z)', D2, R3, P[], S{x14 -> x', x15 -> +(z',y'), x16 -> z}), NR: '+(+(x',+(z',y')),z)'
ID: 44 => ('+(+(+(z,z'),y'),x')', D2, R3, P[1], S{x14 -> z, x15 -> z', x16 -> y'}), NR: '+(+(z,z'),y')'
ID: 45 => ('+(+(+(z,y'),z'),x')', D2, R4, P[1], S{x17 -> z, x18 -> y', x19 -> z'}), NR: '+(+(z,y'),z')'
ID: 46 => ('+(x',+(+(z,z'),y'))', D2, R5, P[2], S{x20 -> z, x21 -> z', x22 -> y'}), NR: '+(+(z,z'),y')'
ID: 47 => ('+(x',+(+(z,y'),z'))', D2, R6, P[2], S{x23 -> z, x24 -> y', x25 -> z'}), NR: '+(+(z,y'),z')'
ID: 48 => ('+(x',+(z',+(y',z)))', D2, R7, P[2], S{x26 -> z', x27 -> y', x28 -> z}), NR: '+(z',+(y',z))'
ID: 49 => ('+(x',+(y',+(z',z)))', D2, R8, P[2], S{x29 -> y', x30 -> z', x31 -> z}), NR: '+(y',+(z',z))'
ID: 50 => ('+(z,+(+(x',z'),y'))', D2, R5, P[2], S{x20 -> x', x21 -> z', x22 -> y'}), NR: '+(+(x',z'),y')'
ID: 51 => ('+(z,+(+(x',y'),z'))', D2, R6, P[2], S{x23 -> x', x24 -> y', x25 -> z'}), NR: '+(+(x',y'),z')'
ID: 52 => ('+(z,+(z',+(y',x')))', D2, R7, P[2], S{x26 -> z', x27 -> y', x28 -> x'}), NR: '+(z',+(y',x'))'
ID: 53 => ('+(z,+(y',+(z',x')))', D2, R8, P[2], S{x29 -> y', x30 -> z', x31 -> x'}), NR: '+(y',+(z',x'))'
ID: 54 => ('+(z',+(x',+(y',z)))', D3, R2, P[2], S{x11 -> x', x12 -> y', x13 -> z}), NR: '+(x',+(y',z))'
ID: 55 => ('+(z',+(+(z,y'),x'))', D3, R3, P[2], S{x14 -> z, x15 -> y', x16 -> x'}), NR: '+(+(z,y'),x')'
ID: 56 => ('+(z',+(+(z,x'),y'))', D3, R4, P[2], S{x17 -> z, x18 -> x', x19 -> y'}), NR: '+(+(z,x'),y')'
ID: 57 => ('+(+(z',z),+(y',x'))', D3, R6, P[], S{x23 -> z', x24 -> z, x25 -> +(y',x')}), NR: '+(+(z',z),+(y',x'))'
ID: 58 => ('+(+(y',x'),+(z,z'))', D3, R7, P[], S{x26 -> +(y',x'), x27 -> z, x28 -> z'}), NR: '+(+(y',x'),+(z,z'))'
ID: 59 => ('+(z,+(+(y',x'),z'))', D3, R8, P[], S{x29 -> z, x30 -> +(y',x'), x31 -> z'}), NR: '+(z,+(+(y',x'),z'))'
ID: 60 => ('+(z',+(y',+(z,x')))', D3, R1, P[2], S{x8 -> y', x9 -> z, x10 -> x'}), NR: '+(y',+(z,x'))'
ID: 61 => ('+(z',+(z,+(y',x')))', D3, R2, P[2], S{x11 -> z, x12 -> y', x13 -> x'}), NR: '+(z,+(y',x'))'
ID: 62 => ('+(z',+(+(x',y'),z))', D3, R3, P[2], S{x14 -> x', x15 -> y', x16 -> z}), NR: '+(+(x',y'),z)'
ID: 63 => ('+(+(z',x'),+(y',z))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(y',z)}), NR: '+(+(z',x'),+(y',z))'
ID: 64 => ('+(+(y',z),+(x',z'))', D3, R7, P[], S{x26 -> +(y',z), x27 -> x', x28 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 65 => ('+(x',+(+(y',z),z'))', D3, R8, P[], S{x29 -> x', x30 -> +(y',z), x31 -> z'}), NR: '+(x',+(+(y',z),z'))'
ID: 66 => ('+(+(z',x'),+(z,y'))', D3, R5, P[], S{x20 -> z', x21 -> x', x22 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 67 => ('+(+(z',+(z,y')),x')', D3, R6, P[], S{x23 -> z', x24 -> +(z,y'), x25 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 68 => ('+(+(z,y'),+(x',z'))', D3, R8, P[], S{x29 -> +(z,y'), x30 -> x', x31 -> z'}), NR: '+(+(z,y'),+(x',z'))'
ID: 69 => ('+(x',+(z,+(y',z')))', D3, R1, P[], S{x8 -> x', x9 -> z, x10 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 70 => ('+(z,+(x',+(y',z')))', D3, R2, P[], S{x11 -> z, x12 -> x', x13 -> +(y',z')}), NR: '+(z,+(x',+(y',z')))'
ID: 71 => ('+(+(+(y',z'),x'),z)', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x', x16 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 72 => ('+(+(+(y',z'),z),x')', D3, R4, P[], S{x17 -> +(y',z'), x18 -> z, x19 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 73 => ('+(+(z',z),+(x',y'))', D3, R5, P[], S{x20 -> z', x21 -> z, x22 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 74 => ('+(+(z',+(x',y')),z)', D3, R6, P[], S{x23 -> z', x24 -> +(x',y'), x25 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 75 => ('+(+(x',y'),+(z,z'))', D3, R8, P[], S{x29 -> +(x',y'), x30 -> z, x31 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 76 => ('+(y',+(x',+(z',z)))', D3, R2, P[2], S{x11 -> x', x12 -> z', x13 -> z}), NR: '+(x',+(z',z))'
ID: 77 => ('+(y',+(+(z,z'),x'))', D3, R3, P[2], S{x14 -> z, x15 -> z', x16 -> x'}), NR: '+(+(z,z'),x')'
ID: 78 => ('+(y',+(+(z,x'),z'))', D3, R4, P[2], S{x17 -> z, x18 -> x', x19 -> z'}), NR: '+(+(z,x'),z')'
ID: 79 => ('+(+(y',z),+(z',x'))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(z',x')}), NR: '+(+(y',z),+(z',x'))'
ID: 80 => ('+(z,+(+(z',x'),y'))', D3, R8, P[], S{x29 -> z, x30 -> +(z',x'), x31 -> y'}), NR: '+(z,+(+(z',x'),y'))'
ID: 81 => ('+(y',+(z',+(z,x')))', D3, R1, P[2], S{x8 -> z', x9 -> z, x10 -> x'}), NR: '+(z',+(z,x'))'
ID: 82 => ('+(y',+(z,+(z',x')))', D3, R2, P[2], S{x11 -> z, x12 -> z', x13 -> x'}), NR: '+(z,+(z',x'))'
ID: 83 => ('+(y',+(+(x',z'),z))', D3, R3, P[2], S{x14 -> x', x15 -> z', x16 -> z}), NR: '+(+(x',z'),z)'
ID: 84 => ('+(+(y',x'),+(z',z))', D3, R6, P[], S{x23 -> y', x24 -> x', x25 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 85 => ('+(x',+(+(z',z),y'))', D3, R8, P[], S{x29 -> x', x30 -> +(z',z), x31 -> y'}), NR: '+(x',+(+(z',z),y'))'
ID: 86 => ('+(+(y',+(z,z')),x')', D3, R6, P[], S{x23 -> y', x24 -> +(z,z'), x25 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 87 => ('+(+(z,z'),+(x',y'))', D3, R8, P[], S{x29 -> +(z,z'), x30 -> x', x31 -> y'}), NR: '+(+(z,z'),+(x',y'))'
ID: 88 => ('+(+(y',+(x',z')),z)', D3, R6, P[], S{x23 -> y', x24 -> +(x',z'), x25 -> z}), NR: '+(+(y',+(x',z')),z)'
ID: 89 => ('+(+(x',z'),+(z,y'))', D3, R8, P[], S{x29 -> +(x',z'), x30 -> z, x31 -> y'}), NR: '+(+(x',z'),+(z,y'))'
ID: 90 => ('+(+(+(x',z'),z),y')', D3, R6, P[1], S{x23 -> x', x24 -> z', x25 -> z}), NR: '+(+(x',z'),z)'
ID: 91 => ('+(+(z,+(z',x')),y')', D3, R7, P[1], S{x26 -> z, x27 -> z', x28 -> x'}), NR: '+(z,+(z',x'))'
ID: 92 => ('+(+(z',+(z,x')),y')', D3, R8, P[1], S{x29 -> z', x30 -> z, x31 -> x'}), NR: '+(z',+(z,x'))'
ID: 93 => ('+(+(+(z,x'),z'),y')', D3, R5, P[1], S{x20 -> z, x21 -> x', x22 -> z'}), NR: '+(+(z,x'),z')'
ID: 94 => ('+(+(+(z,z'),x'),y')', D3, R6, P[1], S{x23 -> z, x24 -> z', x25 -> x'}), NR: '+(+(z,z'),x')'
ID: 95 => ('+(+(x',+(z',z)),y')', D3, R7, P[1], S{x26 -> x', x27 -> z', x28 -> z}), NR: '+(x',+(z',z))'
ID: 96 => ('+(+(+(x',y'),z),z')', D3, R6, P[1], S{x23 -> x', x24 -> y', x25 -> z}), NR: '+(+(x',y'),z)'
ID: 97 => ('+(+(z,+(y',x')),z')', D3, R7, P[1], S{x26 -> z, x27 -> y', x28 -> x'}), NR: '+(z,+(y',x'))'
ID: 98 => ('+(+(y',+(z,x')),z')', D3, R8, P[1], S{x29 -> y', x30 -> z, x31 -> x'}), NR: '+(y',+(z,x'))'
ID: 99 => ('+(+(+(z,x'),y'),z')', D3, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 100 => ('+(+(+(z,y'),x'),z')', D3, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 101 => ('+(+(x',+(y',z)),z')', D3, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 102 => ('+(+(z,z'),+(y',x'))', D3, R3, P[], S{x14 -> z, x15 -> z', x16 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 103 => ('+(+(+(z',x'),y'),z)', D3, R6, P[1], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 104 => ('+(+(x',+(y',z')),z)', D3, R8, P[1], S{x29 -> x', x30 -> y', x31 -> z'}), NR: '+(x',+(y',z'))'
ID: 105 => ('+(+(z,y'),+(z',x'))', D3, R3, P[], S{x14 -> z, x15 -> y', x16 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 106 => ('+(+(+(y',x'),z'),z)', D3, R6, P[1], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 107 => ('+(+(x',z'),+(y',z))', D3, R1, P[], S{x8 -> +(x',z'), x9 -> y', x10 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 108 => ('+(+(x',y'),+(z',z))', D3, R1, P[], S{x8 -> +(x',y'), x9 -> z', x10 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 109 => ('+(+(+(z',z),y'),x')', D3, R6, P[1], S{x23 -> z', x24 -> z, x25 -> y'}), NR: '+(+(z',z),y')'
ID: 110 => ('+(+(z,+(y',z')),x')', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> z'}), NR: '+(z,+(y',z'))'
ID: 111 => ('+(+(+(y',z),z'),x')', D3, R6, P[1], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 112 => ('+(x',+(z',+(z,y')))', D3, R2, P[2], S{x11 -> z', x12 -> z, x13 -> y'}), NR: '+(z',+(z,y'))'
ID: 113 => ('+(x',+(+(y',z'),z))', D3, R4, P[2], S{x17 -> y', x18 -> z', x19 -> z}), NR: '+(+(y',z'),z)'
ID: 114 => ('+(x',+(y',+(z,z')))', D3, R2, P[2], S{x11 -> y', x12 -> z, x13 -> z'}), NR: '+(y',+(z,z'))'
ID: 115 => ('+(z,+(z',+(x',y')))', D3, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 116 => ('+(z,+(+(y',z'),x'))', D3, R4, P[2], S{x17 -> y', x18 -> z', x19 -> x'}), NR: '+(+(y',z'),x')'
ID: 117 => ('+(z,+(y',+(x',z')))', D3, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 118 => ('+(+(z,x'),+(y',z'))', D4, R7, P[], S{x26 -> +(z,x'), x27 -> y', x28 -> z'}), NR: '+(+(z,x'),+(y',z'))'
ID: 119 => ('+(+(y',z'),+(z,x'))', D4, R8, P[], S{x29 -> +(y',z'), x30 -> z, x31 -> x'}), NR: '+(+(y',z'),+(z,x'))'
SNodesPath1: +(+(+(x',y'),z'),z)
TNodesPath1: +(+(z',y'),+(x',z)) -> +(z',+(y',+(x',z))) -> +(z',+(+(y',x'),z)) -> +(+(z',+(y',x')),z) -> +(+(+(z',y'),x'),z) -> +(x',+(+(z',y'),z)) -> +(+(x',z),+(z',y')) -> +(y',+(z',+(x',z))) -> +(+(y',z'),+(x',z)) -> +(+(+(x',z),z'),y') -> +(+(y',+(x',z)),z') -> +(+(z',+(x',z)),y') -> +(z',+(+(x',z),y')) -> +(z',+(+(y',z),x')) -> +(+(z',+(y',z)),x') -> +(+(+(z',y'),z),x') -> +(+(z',y'),+(z,x')) -> +(x',+(z,+(z',y'))) -> +(z,+(+(z',y'),x')) -> +(+(z,+(z',y')),x') -> +(+(y',+(z',z)),x') -> +(y',+(+(z',z),x')) -> +(y',+(+(x',z),z')) -> +(y',+(+(z',x'),z)) -> +(+(y',+(z',x')),z) -> +(+(x',+(z',y')),z) -> +(+(+(x',z'),y'),z) -> +(+(z,+(x',z')),y') -> +(z,+(+(x',z'),y')) -> +(z,+(x',+(z',y'))) -> +(+(z,x'),+(z',y')) -> +(z',+(y',+(z,x'))) -> +(z',+(x',+(z,y'))) -> +(x',+(+(z,y'),z')) -> +(+(x',+(z,y')),z') -> +(+(+(x',z),y'),z') -> +(+(x',z),+(y',z')) -> +(x',+(z,+(y',z'))) -> +(x',+(+(z,z'),y')) -> +(+(x',+(z,z')),y') -> +(+(y',x'),+(z,z')) -> +(y',+(x',+(z,z'))) -> +(y',+(z',+(z,x'))) -> +(y',+(z,+(x',z'))) -> +(+(y',z),+(x',z')) -> +(+(+(y',z),x'),z') -> +(+(z',x'),+(y',z)) -> +(+(+(z',x'),z),y') -> +(+(z',x'),+(z,y')) -> +(+(+(z,y'),z'),x') -> +(z',+(+(z,y'),x')) -> +(z',+(z,+(y',x'))) -> +(z',+(x',+(y',z))) -> +(z',+(+(x',y'),z)) -> +(z,+(+(x',y'),z')) -> +(+(z,+(x',y')),z') -> +(+(z',z),+(x',y')) -> +(z',+(z,+(x',y'))) -> +(z',+(+(z,x'),y')) -> +(y',+(+(z,x'),z')) -> +(+(y',+(z,x')),z') -> +(+(+(y',x'),z),z') -> +(+(z',z),+(y',x')) -> +(+(+(z',z),x'),y') -> +(+(y',x'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(x',+(+(y',z),z')) -> +(+(y',z),+(z',x')) -> +(x',+(z',+(y',z))) -> +(x',+(+(z',z),y')) -> +(+(x',+(z',z)),y') -> +(+(+(x',z'),z),y') -> +(+(y',+(x',z')),z) -> +(+(z,y'),+(x',z')) -> +(+(+(z,y'),x'),z') -> +(+(z',+(z,y')),x') -> +(+(y',+(z,z')),x') -> +(+(+(y',z'),z),x') -> +(+(+(z,z'),y'),x') -> +(+(x',y'),+(z,z')) -> +(+(+(x',y'),z'),z)
SNodesPath2: +(+(+(x',y'),z'),z) -> +(+(x',y'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(x',+(+(y',z'),z)) -> +(+(x',+(y',z')),z) -> +(+(y',z'),+(x',z)) -> +(z',+(y',+(x',z))) -> +(z',+(z,+(x',y'))) -> +(z',+(x',+(y',z))) -> +(z',+(+(x',y'),z)) -> +(z',+(+(z,x'),y')) -> +(+(z,x'),+(y',z')) -> +(+(+(y',z'),x'),z) -> +(+(z,+(y',z')),x') -> +(+(+(z,z'),y'),x') -> +(+(x',y'),+(z,z')) -> +(+(+(x',y'),z),z') -> +(+(z',+(x',y')),z) -> +(+(y',+(x',z')),z) -> +(y',+(+(x',z'),z)) -> +(y',+(x',+(z',z))) -> +(+(z',z),+(x',y')) -> +(+(+(z',z),x'),y') -> +(+(z,+(z',x')),y') -> +(+(y',+(z',x')),z) -> +(+(+(y',x'),z'),z) -> +(+(+(z',x'),y'),z) -> +(+(x',+(z',y')),z) -> +(+(+(x',z'),y'),z) -> +(+(x',z'),+(y',z)) -> +(+(+(x',z'),z),y') -> +(+(+(z,z'),x'),y') -> +(+(z,z'),+(x',y')) -> +(z,+(z',+(x',y'))) -> +(+(z,+(x',y')),z') -> +(z,+(+(x',y'),z')) -> +(z,+(+(z',x'),y')) -> +(+(z',x'),+(y',z)) -> +(y',+(z,+(z',x'))) -> +(y',+(z',+(x',z))) -> +(+(y',+(x',z)),z') -> +(+(z',y'),+(x',z))
TNodesPath2: +(+(z',y'),+(x',z))
+(+(+(x',y'),z'),z) ->= +(+(+(x',y'),z'),z) *<- +(+(z',y'),+(x',z))
+(+(z',y'),+(x',z)) ->= +(+(z',y'),+(x',z)) *<- +(+(+(x',y'),z'),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.5: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(y,x),y'),z'),+(x,+(y,+(y',z')))>   =>  Not trivial, Overlay, Proper, NW0, N16
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(y,x),y'),z')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79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ID: 0 => ('+(+(+(y,x),y'),z')', D0)
ID: 1 => ('+(+(y,x),+(y',z'))', D1, R1, P[], S{x8 -> +(y,x), x9 -> y', x10 -> z'}), NR: '+(+(y,x),+(y',z'))'
ID: 2 => ('+(+(y,+(x,y')),z')', D1, R1, P[1], S{x8 -> y, x9 -> x, x10 -> y'}), NR: '+(y,+(x,y'))'
ID: 3 => ('+(y',+(+(y,x),z'))', D1, R2, P[], S{x11 -> y', x12 -> +(y,x), x13 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 4 => ('+(+(x,+(y,y')),z')', D1, R2, P[1], S{x11 -> x, x12 -> y, x13 -> y'}), NR: '+(x,+(y,y'))'
ID: 5 => ('+(+(z',+(y,x)),y')', D1, R3, P[], S{x14 -> z', x15 -> +(y,x), x16 -> y'}), NR: '+(+(z',+(y,x)),y')'
ID: 6 => ('+(+(+(y',y),x),z')', D1, R3, P[1], S{x14 -> y', x15 -> y, x16 -> x}), NR: '+(+(y',y),x)'
ID: 7 => ('+(+(z',y'),+(y,x))', D1, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(y,x)}), NR: '+(+(z',y'),+(y,x))'
ID: 8 => ('+(+(+(y',x),y),z')', D1, R4, P[1], S{x17 -> y', x18 -> x, x19 -> y}), NR: '+(+(y',x),y)'
ID: 9 => ('+(y,+(x,+(y',z')))', D2, R1, P[], S{x8 -> y, x9 -> x, x10 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 10 => ('+(x,+(y,+(y',z')))', D2, R2, P[], S{x11 -> x, x12 -> y, x13 -> +(y',z')}), NR: '+(x,+(y,+(y',z')))'
ID: 11 => ('+(+(+(y',z'),y),x)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> y, x16 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 12 => ('+(+(+(y',z'),x),y)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> x, x19 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 13 => ('+(+(+(y,x),z'),y')', D2, R6, P[], S{x23 -> +(y,x), x24 -> z', x25 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 14 => ('+(y',+(z',+(y,x)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 15 => ('+(z',+(y',+(y,x)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 16 => ('+(y,+(+(x,y'),z'))', D2, R1, P[], S{x8 -> y, x9 -> +(x,y'), x10 -> z'}), NR: '+(y,+(+(x,y'),z'))'
ID: 17 => ('+(+(x,y'),+(y,z'))', D2, R2, P[], S{x11 -> +(x,y'), x12 -> y, x13 -> z'}), NR: '+(+(x,y'),+(y,z'))'
ID: 18 => ('+(+(z',y),+(x,y'))', D2, R3, P[], S{x14 -> z', x15 -> y, x16 -> +(x,y')}), NR: '+(+(z',y),+(x,y'))'
ID: 19 => ('+(+(z',+(x,y')),y)', D2, R4, P[], S{x17 -> z', x18 -> +(x,y'), x19 -> y}), NR: '+(+(z',+(x,y')),y)'
ID: 20 => ('+(+(+(y,y'),x),z')', D2, R6, P[1], S{x23 -> y, x24 -> y', x25 -> x}), NR: '+(+(y,y'),x)'
ID: 21 => ('+(+(x,+(y',y)),z')', D2, R7, P[1], S{x26 -> x, x27 -> y', x28 -> y}), NR: '+(x,+(y',y))'
ID: 22 => ('+(+(y',+(x,y)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x, x31 -> y}), NR: '+(y',+(x,y))'
ID: 23 => ('+(y',+(y,+(x,z')))', D2, R1, P[2], S{x8 -> y, x9 -> x, x10 -> z'}), NR: '+(y,+(x,z'))'
ID: 24 => ('+(y',+(x,+(y,z')))', D2, R2, P[2], S{x11 -> x, x12 -> y, x13 -> z'}), NR: '+(x,+(y,z'))'
ID: 25 => ('+(y',+(+(z',y),x))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> x}), NR: '+(+(z',y),x)'
ID: 26 => ('+(y',+(+(z',x),y))', D2, R4, P[2], S{x17 -> z', x18 -> x, x19 -> y}), NR: '+(+(z',x),y)'
ID: 27 => ('+(+(y',+(y,x)),z')', D2, R5, P[], S{x20 -> y', x21 -> +(y,x), x22 -> z'}), NR: '+(+(y',+(y,x)),z')'
ID: 28 => ('+(+(y',z'),+(y,x))', D2, R6, P[], S{x23 -> y', x24 -> z', x25 -> +(y,x)}), NR: '+(+(y',z'),+(y,x))'
ID: 29 => ('+(+(y,x),+(z',y'))', D2, R7, P[], S{x26 -> +(y,x), x27 -> z', x28 -> y'}), NR: '+(+(y,x),+(z',y'))'
ID: 30 => ('+(z',+(+(y,x),y'))', D2, R8, P[], S{x29 -> z', x30 -> +(y,x), x31 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 31 => ('+(x,+(+(y,y'),z'))', D2, R1, P[], S{x8 -> x, x9 -> +(y,y'), x10 -> z'}), NR: '+(x,+(+(y,y'),z'))'
ID: 32 => ('+(+(y,y'),+(x,z'))', D2, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 33 => ('+(+(z',x),+(y,y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 34 => ('+(+(z',+(y,y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 35 => ('+(+(+(x,y),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> y, x22 -> y'}), NR: '+(+(x,y),y')'
ID: 36 => ('+(+(+(x,y'),y),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 37 => ('+(+(y,+(y',x)),z')', D2, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 38 => ('+(+(+(z',y),x),y')', D2, R5, P[1], S{x20 -> z', x21 -> y, x22 -> x}), NR: '+(+(z',y),x)'
ID: 39 => ('+(+(+(z',x),y),y')', D2, R6, P[1], S{x23 -> z', x24 -> x, x25 -> y}), NR: '+(+(z',x),y)'
ID: 40 => ('+(+(y,+(x,z')),y')', D2, R7, P[1], S{x26 -> y, x27 -> x, x28 -> z'}), NR: '+(y,+(x,z'))'
ID: 41 => ('+(+(x,+(y,z')),y')', D2, R8, P[1], S{x29 -> x, x30 -> y, x31 -> z'}), NR: '+(x,+(y,z'))'
ID: 42 => ('+(+(y',y),+(x,z'))', D2, R1, P[], S{x8 -> +(y',y), x9 -> x, x10 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 43 => ('+(x,+(+(y',y),z'))', D2, R2, P[], S{x11 -> x, x12 -> +(y',y), x13 -> z'}), NR: '+(x,+(+(y',y),z'))'
ID: 44 => ('+(+(z',+(y',y)),x)', D2, R3, P[], S{x14 -> z', x15 -> +(y',y), x16 -> x}), NR: '+(+(z',+(y',y)),x)'
ID: 45 => ('+(+(z',x),+(y',y))', D2, R4, P[], S{x17 -> z', x18 -> x, x19 -> +(y',y)}), NR: '+(+(z',x),+(y',y))'
ID: 46 => ('+(+(+(z',y'),y),x)', D2, R5, P[], S{x20 -> +(z',y'), x21 -> y, x22 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 47 => ('+(+(+(z',y'),x),y)', D2, R6, P[], S{x23 -> +(z',y'), x24 -> x, x25 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 48 => ('+(y,+(x,+(z',y')))', D2, R7, P[], S{x26 -> y, x27 -> x, x28 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 49 => ('+(x,+(y,+(z',y')))', D2, R8, P[], S{x29 -> x, x30 -> y, x31 -> +(z',y')}), NR: '+(x,+(y,+(z',y')))'
ID: 50 => ('+(+(y',x),+(y,z'))', D2, R1, P[], S{x8 -> +(y',x), x9 -> y, x10 -> z'}), NR: '+(+(y',x),+(y,z'))'
ID: 51 => ('+(y,+(+(y',x),z'))', D2, R2, P[], S{x11 -> y, x12 -> +(y',x), x13 -> z'}), NR: '+(y,+(+(y',x),z'))'
ID: 52 => ('+(+(z',+(y',x)),y)', D2, R3, P[], S{x14 -> z', x15 -> +(y',x), x16 -> y}), NR: '+(+(z',+(y',x)),y)'
ID: 53 => ('+(+(z',y),+(y',x))', D2, R4, P[], S{x17 -> z', x18 -> y, x19 -> +(y',x)}), NR: '+(+(z',y),+(y',x))'
ID: 54 => ('+(+(y,+(y',z')),x)', D3, R6, P[], S{x23 -> y, x24 -> +(y',z'), x25 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 55 => ('+(y,+(+(x,z'),y'))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 56 => ('+(x,+(+(y',z'),y))', D3, R7, P[], S{x26 -> x, x27 -> +(y',z'), x28 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 57 => ('+(y,+(y',+(z',x)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 58 => ('+(+(y',z'),+(x,y))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> x, x31 -> y}), NR: '+(+(y',z'),+(x,y))'
ID: 59 => ('+(y,+(z',+(y',x)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 60 => ('+(+(x,y),+(y',z'))', D3, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(y',z')}), NR: '+(+(x,y),+(y',z'))'
ID: 61 => ('+(+(x,+(y',z')),y)', D3, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 62 => ('+(x,+(+(y,z'),y'))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 63 => ('+(y,+(+(y',z'),x))', D3, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 64 => ('+(x,+(y',+(z',y)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 65 => ('+(x,+(z',+(y',y)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 66 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 67 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 68 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 69 => ('+(+(y',+(z',x)),y)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 70 => ('+(+(+(x,y'),z'),y)', D3, R3, P[1], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 71 => ('+(+(+(x,z'),y'),y)', D3, R4, P[1], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 72 => ('+(z',+(+(y',y),x))', D3, R5, P[2], S{x20 -> y', x21 -> y, x22 -> x}), NR: '+(+(y',y),x)'
ID: 73 => ('+(z',+(+(y',x),y))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> y}), NR: '+(+(y',x),y)'
ID: 74 => ('+(z',+(y,+(x,y')))', D3, R7, P[2], S{x26 -> y, x27 -> x, x28 -> y'}), NR: '+(y,+(x,y'))'
ID: 75 => ('+(z',+(x,+(y,y')))', D3, R8, P[2], S{x29 -> x, x30 -> y, x31 -> y'}), NR: '+(x,+(y,y'))'
ID: 76 => ('+(y,+(y',+(x,z')))', D3, R2, P[2], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 77 => ('+(y,+(+(z',x),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 78 => ('+(y,+(+(z',y'),x))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 79 => ('+(+(y,z'),+(x,y'))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(x,y')}), NR: '+(+(y,z'),+(x,y'))'
ID: 80 => ('+(+(x,y'),+(z',y))', D3, R7, P[], S{x26 -> +(x,y'), x27 -> z', x28 -> y}), NR: '+(+(x,y'),+(z',y))'
ID: 81 => ('+(z',+(+(x,y'),y))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 82 => ('+(x,+(y',+(y,z')))', D3, R1, P[], S{x8 -> x, x9 -> y', x10 -> +(y,z')}), NR: '+(x,+(y',+(y,z')))'
ID: 83 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 84 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 85 => ('+(+(+(z',y),y'),x)', D3, R6, P[], S{x23 -> +(z',y), x24 -> y', x25 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 86 => ('+(y',+(x,+(z',y)))', D3, R8, P[], S{x29 -> y', x30 -> x, x31 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 87 => ('+(+(+(z',x),y'),y)', D3, R5, P[1], S{x20 -> z', x21 -> x, x22 -> y'}), NR: '+(+(z',x),y')'
ID: 88 => ('+(+(y',+(x,z')),y)', D3, R8, P[1], S{x29 -> y', x30 -> x, x31 -> z'}), NR: '+(y',+(x,z'))'
ID: 89 => ('+(y',+(+(x,y),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x,y), x10 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 90 => ('+(+(z',y'),+(x,y))', D3, R3, P[], S{x14 -> z', x15 -> y', x16 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 91 => ('+(+(z',+(x,y)),y')', D3, R4, P[], S{x17 -> z', x18 -> +(x,y), x19 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 92 => ('+(y',+(+(y,z'),x))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> x}), NR: '+(+(y,z'),x)'
ID: 93 => ('+(+(x,z'),+(y,y'))', D3, R8, P[], S{x29 -> +(x,z'), x30 -> y, x31 -> y'}), NR: '+(+(x,z'),+(y,y'))'
ID: 94 => ('+(y',+(z',+(x,y)))', D3, R8, P[2], S{x29 -> z', x30 -> x, x31 -> y}), NR: '+(z',+(x,y))'
ID: 95 => ('+(+(y',+(y,z')),x)', D3, R6, P[], S{x23 -> y', x24 -> +(y,z'), x25 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 96 => ('+(y',+(+(x,z'),y))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 97 => ('+(y',+(y,+(z',x)))', D3, R7, P[2], S{x26 -> y, x27 -> z', x28 -> x}), NR: '+(y,+(z',x))'
ID: 98 => ('+(+(y',x),+(z',y))', D3, R6, P[], S{x23 -> y', x24 -> x, x25 -> +(z',y)}), NR: '+(+(y',x),+(z',y))'
ID: 99 => ('+(x,+(+(z',y),y'))', D3, R8, P[], S{x29 -> x, x30 -> +(z',y), x31 -> y'}), NR: '+(x,+(+(z',y),y'))'
ID: 100 => ('+(+(y',y),+(z',x))', D3, R6, P[], S{x23 -> y', x24 -> y, x25 -> +(z',x)}), NR: '+(+(y',y),+(z',x))'
ID: 101 => ('+(x,+(+(z',y'),y))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 102 => ('+(+(y,y'),+(z',x))', D3, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 103 => ('+(z',+(+(y,y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 104 => ('+(+(+(x,z'),y),y')', D3, R3, P[], S{x14 -> +(x,z'), x15 -> y, x16 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 105 => ('+(x,+(z',+(y,y')))', D3, R7, P[], S{x26 -> x, x27 -> z', x28 -> +(y,y')}), NR: '+(x,+(z',+(y,y')))'
ID: 106 => ('+(+(y,+(z',x)),y')', D3, R2, P[1], S{x11 -> y, x12 -> z', x13 -> x}), NR: '+(y,+(z',x))'
ID: 107 => ('+(+(+(x,y),z'),y')', D3, R4, P[1], S{x17 -> x, x18 -> y, x19 -> z'}), NR: '+(+(x,y),z')'
ID: 108 => ('+(+(x,+(z',y)),y')', D3, R2, P[1], S{x11 -> x, x12 -> z', x13 -> y}), NR: '+(x,+(z',y))'
ID: 109 => ('+(+(+(y',y),z'),x)', D3, R6, P[], S{x23 -> +(y',y), x24 -> z', x25 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 110 => ('+(z',+(x,+(y',y)))', D3, R8, P[], S{x29 -> z', x30 -> x, x31 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 111 => ('+(+(x,z'),+(y',y))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 112 => ('+(+(x,+(z',y')),y)', D3, R3, P[], S{x14 -> x, x15 -> +(z',y'), x16 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 113 => ('+(+(x,y),+(z',y'))', D3, R4, P[], S{x17 -> x, x18 -> y, x19 -> +(z',y')}), NR: '+(+(x,y),+(z',y'))'
ID: 114 => ('+(+(y,+(z',y')),x)', D3, R3, P[], S{x14 -> y, x15 -> +(z',y'), x16 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 115 => ('+(+(+(y',x),z'),y)', D3, R6, P[], S{x23 -> +(y',x), x24 -> z', x25 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 116 => ('+(z',+(y,+(y',x)))', D3, R8, P[], S{x29 -> z', x30 -> y, x31 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 117 => ('+(+(y,z'),+(y',x))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(y',x)}), NR: '+(+(y,z'),+(y',x))'
ID: 118 => ('+(z',+(y',+(x,y)))', D4, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 119 => ('+(z',+(+(x,y),y'))', D4, R4, P[2], S{x17 -> x, x18 -> y, x19 -> y'}), NR: '+(+(x,y),y')'
t: +(x,+(y,+(y',z')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x,+(y,+(y',z')))', D0)
ID: 1 => ('+(+(x,y),+(y',z'))', D1, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(y',z')}), NR: '+(+(x,y),+(y',z'))'
ID: 2 => ('+(x,+(+(y,y'),z'))', D1, R5, P[2], S{x20 -> y, x21 -> y', x22 -> z'}), NR: '+(+(y,y'),z')'
ID: 3 => ('+(+(x,+(y',z')),y)', D1, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 4 => ('+(x,+(+(y,z'),y'))', D1, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 5 => ('+(y,+(+(y',z'),x))', D1, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 6 => ('+(x,+(y',+(z',y)))', D1, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 7 => ('+(+(y',z'),+(y,x))', D1, R8, P[], S{x29 -> +(y',z'), x30 -> y, x31 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 8 => ('+(x,+(z',+(y',y)))', D1, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 9 => ('+(y,+(x,+(y',z')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 10 => ('+(+(+(y',z'),x),y)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 11 => ('+(+(+(y',z'),y),x)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> y, x19 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 12 => ('+(+(+(x,y),y'),z')', D2, R5, P[], S{x20 -> +(x,y), x21 -> y', x22 -> z'}), NR: '+(+(+(x,y),y'),z')'
ID: 13 => ('+(+(+(x,y),z'),y')', D2, R6, P[], S{x23 -> +(x,y), x24 -> z', x25 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 14 => ('+(y',+(z',+(x,y)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 15 => ('+(z',+(y',+(x,y)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 16 => ('+(x,+(y',+(y,z')))', D2, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 17 => ('+(x,+(+(z',y),y'))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 18 => ('+(x,+(+(z',y'),y))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 19 => ('+(+(x,+(y,y')),z')', D2, R5, P[], S{x20 -> x, x21 -> +(y,y'), x22 -> z'}), NR: '+(+(x,+(y,y')),z')'
ID: 20 => ('+(+(x,z'),+(y,y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 21 => ('+(+(y,y'),+(z',x))', D2, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 22 => ('+(z',+(+(y,y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 23 => ('+(x,+(+(y',z'),y))', D2, R1, P[], S{x8 -> x, x9 -> +(y',z'), x10 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 24 => ('+(+(y',z'),+(x,y))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> y}), NR: '+(+(y',z'),+(x,y))'
ID: 25 => ('+(+(y,x),+(y',z'))', D2, R3, P[], S{x14 -> y, x15 -> x, x16 -> +(y',z')}), NR: '+(+(y,x),+(y',z'))'
ID: 26 => ('+(+(y,+(y',z')),x)', D2, R4, P[], S{x17 -> y, x18 -> +(y',z'), x19 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 27 => ('+(+(+(x,y'),z'),y)', D2, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 28 => ('+(+(+(x,z'),y'),y)', D2, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 29 => ('+(+(y',+(z',x)),y)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 30 => ('+(+(z',+(y',x)),y)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 31 => ('+(x,+(y,+(z',y')))', D2, R1, P[2], S{x8 -> y, x9 -> z', x10 -> y'}), NR: '+(y,+(z',y'))'
ID: 32 => ('+(x,+(z',+(y,y')))', D2, R2, P[2], S{x11 -> z', x12 -> y, x13 -> y'}), NR: '+(z',+(y,y'))'
ID: 33 => ('+(x,+(+(y',y),z'))', D2, R3, P[2], S{x14 -> y', x15 -> y, x16 -> z'}), NR: '+(+(y',y),z')'
ID: 34 => ('+(+(x,+(y,z')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(y,z'), x22 -> y'}), NR: '+(+(x,+(y,z')),y')'
ID: 35 => ('+(+(x,y'),+(y,z'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(y,z')}), NR: '+(+(x,y'),+(y,z'))'
ID: 36 => ('+(+(y,z'),+(y',x))', D2, R7, P[], S{x26 -> +(y,z'), x27 -> y', x28 -> x}), NR: '+(+(y,z'),+(y',x))'
ID: 37 => ('+(y',+(+(y,z'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(y,z'), x31 -> x}), NR: '+(y',+(+(y,z'),x))'
ID: 38 => ('+(y,+(y',+(z',x)))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 39 => ('+(y,+(z',+(y',x)))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 40 => ('+(y,+(+(x,y'),z'))', D2, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 41 => ('+(y,+(+(x,z'),y'))', D2, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 42 => ('+(+(x,y'),+(z',y))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',y)}), NR: '+(+(x,y'),+(z',y))'
ID: 43 => ('+(+(x,+(z',y)),y')', D2, R6, P[], S{x23 -> x, x24 -> +(z',y), x25 -> y'}), NR: '+(+(x,+(z',y)),y')'
ID: 44 => ('+(y',+(+(z',y),x))', D2, R7, P[], S{x26 -> y', x27 -> +(z',y), x28 -> x}), NR: '+(y',+(+(z',y),x))'
ID: 45 => ('+(+(z',y),+(y',x))', D2, R8, P[], S{x29 -> +(z',y), x30 -> y', x31 -> x}), NR: '+(+(z',y),+(y',x))'
ID: 46 => ('+(y',+(z',+(y,x)))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 47 => ('+(z',+(y',+(y,x)))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 48 => ('+(+(+(y,x),y'),z')', D2, R3, P[], S{x14 -> +(y,x), x15 -> y', x16 -> z'}), NR: '+(+(+(y,x),y'),z')'
ID: 49 => ('+(+(+(y,x),z'),y')', D2, R4, P[], S{x17 -> +(y,x), x18 -> z', x19 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 50 => ('+(+(x,z'),+(y',y))', D2, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 51 => ('+(+(x,+(y',y)),z')', D2, R6, P[], S{x23 -> x, x24 -> +(y',y), x25 -> z'}), NR: '+(+(x,+(y',y)),z')'
ID: 52 => ('+(z',+(+(y',y),x))', D2, R7, P[], S{x26 -> z', x27 -> +(y',y), x28 -> x}), NR: '+(z',+(+(y',y),x))'
ID: 53 => ('+(+(y',y),+(z',x))', D2, R8, P[], S{x29 -> +(y',y), x30 -> z', x31 -> x}), NR: '+(+(y',y),+(z',x))'
ID: 54 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 55 => ('+(+(z',+(y',y)),x)', D3, R2, P[1], S{x11 -> z', x12 -> y', x13 -> y}), NR: '+(z',+(y',y))'
ID: 56 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 57 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 58 => ('+(y',+(+(x,y),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 59 => ('+(+(y,+(x,y')),z')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 60 => ('+(+(z',+(x,y)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 61 => ('+(+(+(y',x),y),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 62 => ('+(+(z',y'),+(x,y))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 63 => ('+(+(+(y',y),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 64 => ('+(+(x,y),+(z',y'))', D3, R1, P[], S{x8 -> +(x,y), x9 -> z', x10 -> y'}), NR: '+(+(x,y),+(z',y'))'
ID: 65 => ('+(z',+(+(x,y),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y), x13 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 66 => ('+(+(y,+(x,z')),y')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 67 => ('+(+(y',+(x,y)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x,y), x16 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 68 => ('+(+(+(z',x),y),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 69 => ('+(+(+(z',y),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 70 => ('+(y',+(+(z',x),y))', D3, R5, P[2], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 71 => ('+(y',+(x,+(y,z')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 72 => ('+(y',+(y,+(x,z')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 73 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 74 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 75 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 76 => ('+(+(x,+(z',y')),y)', D3, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 77 => ('+(+(z',y'),+(y,x))', D3, R7, P[], S{x26 -> +(z',y'), x27 -> y, x28 -> x}), NR: '+(+(z',y'),+(y,x))'
ID: 78 => ('+(y,+(+(z',y'),x))', D3, R8, P[], S{x29 -> y, x30 -> +(z',y'), x31 -> x}), NR: '+(y,+(+(z',y'),x))'
ID: 79 => ('+(+(y,y'),+(x,z'))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 80 => ('+(+(z',x),+(y,y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 81 => ('+(+(z',+(y,y')),x)', D3, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 82 => ('+(+(+(x,y'),y),z')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 83 => ('+(+(y,+(y',x)),z')', D3, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 84 => ('+(+(y',+(y,x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 85 => ('+(+(+(y,y'),x),z')', D3, R3, P[], S{x14 -> +(y,y'), x15 -> x, x16 -> z'}), NR: '+(+(+(y,y'),x),z')'
ID: 86 => ('+(+(+(x,z'),y),y')', D3, R5, P[], S{x20 -> +(x,z'), x21 -> y, x22 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 87 => ('+(y,+(y',+(x,z')))', D3, R7, P[], S{x26 -> y, x27 -> y', x28 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 88 => ('+(y',+(y,+(z',x)))', D3, R2, P[], S{x11 -> y', x12 -> y, x13 -> +(z',x)}), NR: '+(y',+(y,+(z',x)))'
ID: 89 => ('+(+(+(z',x),y'),y)', D3, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> y}), NR: '+(+(+(z',x),y'),y)'
ID: 90 => ('+(z',+(y,+(y',x)))', D3, R1, P[2], S{x8 -> y, x9 -> y', x10 -> x}), NR: '+(y,+(y',x))'
ID: 91 => ('+(z',+(+(x,y'),y))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> y}), NR: '+(+(x,y'),y)'
ID: 92 => ('+(+(y',+(x,z')),y)', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 93 => ('+(+(y,z'),+(x,y'))', D3, R4, P[], S{x17 -> y, x18 -> z', x19 -> +(x,y')}), NR: '+(+(y,z'),+(x,y'))'
ID: 94 => ('+(+(+(z',y'),x),y)', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 95 => ('+(y',+(+(x,z'),y))', D3, R2, P[], S{x11 -> y', x12 -> +(x,z'), x13 -> y}), NR: '+(y',+(+(x,z'),y))'
ID: 96 => ('+(+(z',+(x,y')),y)', D3, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 97 => ('+(+(+(y',x),z'),y)', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 98 => ('+(+(z',x),+(y',y))', D3, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> y}), NR: '+(+(z',x),+(y',y))'
ID: 99 => ('+(+(y,+(z',x)),y')', D3, R4, P[], S{x17 -> y, x18 -> +(z',x), x19 -> y'}), NR: '+(+(y,+(z',x)),y')'
ID: 100 => ('+(+(y',x),+(z',y))', D3, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> y}), NR: '+(+(y',x),+(z',y))'
ID: 101 => ('+(+(y',x),+(y,z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(y,z')}), NR: '+(+(y',x),+(y,z'))'
ID: 102 => ('+(+(y',+(y,z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(y,z'), x19 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 103 => ('+(+(z',+(y,x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 104 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 105 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 106 => ('+(y,+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 107 => ('+(y,+(x,+(z',y')))', D3, R8, P[2], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
ID: 108 => ('+(y,+(+(z',x),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 109 => ('+(y',+(x,+(z',y)))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 110 => ('+(+(+(z',y),y'),x)', D3, R4, P[], S{x17 -> +(z',y), x18 -> y', x19 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 111 => ('+(+(z',y),+(x,y'))', D3, R2, P[], S{x11 -> +(z',y), x12 -> x, x13 -> y'}), NR: '+(+(z',y),+(x,y'))'
ID: 112 => ('+(z',+(+(y,x),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(y,x), x28 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 113 => ('+(+(y,x),+(z',y'))', D3, R8, P[], S{x29 -> +(y,x), x30 -> z', x31 -> y'}), NR: '+(+(y,x),+(z',y'))'
ID: 114 => ('+(y',+(+(y,x),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 115 => ('+(z',+(x,+(y',y)))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 116 => ('+(+(+(y',y),z'),x)', D3, R4, P[], S{x17 -> +(y',y), x18 -> z', x19 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 117 => ('+(+(y',y),+(x,z'))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x, x13 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 118 => ('+(+(y,+(z',y')),x)', D4, R8, P[1], S{x29 -> y, x30 -> z', x31 -> y'}), NR: '+(y,+(z',y'))'
ID: 119 => ('+(+(+(z',y'),y),x)', D4, R5, P[1], S{x20 -> z', x21 -> y', x22 -> y}), NR: '+(+(z',y'),y)'
SNodesPath1: +(+(+(y,x),y'),z')
TNodesPath1: +(x,+(y,+(y',z'))) -> +(+(x,y),+(y',z')) -> +(y,+(x,+(y',z'))) -> +(x,+(+(y',z'),y)) -> +(x,+(+(y,y'),z')) -> +(x,+(y',+(y,z'))) -> +(x,+(y,+(z',y'))) -> +(x,+(+(y,z'),y')) -> +(x,+(z',+(y,y'))) -> +(x,+(+(z',y),y')) -> +(x,+(+(y',y),z')) -> +(x,+(+(z',y'),y)) -> +(x,+(y',+(z',y))) -> +(+(x,y'),+(z',y)) -> +(+(+(x,y'),z'),y) -> +(+(x,+(y',z')),y) -> +(+(y',z'),+(x,y)) -> +(+(+(y',z'),x),y) -> +(+(y,x),+(y',z')) -> +(+(+(y',z'),y),x) -> +(y,+(+(y',z'),x)) -> +(+(y,+(y',z')),x) -> +(+(y',z'),+(y,x)) -> +(y',+(z',+(y,x))) -> +(y',+(+(z',y),x)) -> +(+(y',+(z',y)),x) -> +(+(x,+(z',y)),y') -> +(+(+(x,y),z'),y') -> +(+(x,+(y,z')),y') -> +(+(+(x,z'),y),y') -> +(+(x,z'),+(y,y')) -> +(+(+(x,z'),y'),y) -> +(+(x,z'),+(y',y)) -> +(x,+(z',+(y',y))) -> +(+(x,+(y',y)),z') -> +(+(+(x,y),y'),z') -> +(+(x,+(y,y')),z') -> +(+(y,y'),+(x,z')) -> +(+(+(y,y'),z'),x) -> +(+(y,y'),+(z',x)) -> +(y,+(y',+(z',x))) -> +(y',+(+(z',x),y)) -> +(y',+(z',+(x,y))) -> +(+(x,y),+(z',y')) -> +(z',+(y',+(x,y))) -> +(z',+(+(y',y),x)) -> +(z',+(y',+(y,x))) -> +(z',+(+(y',x),y)) -> +(z',+(+(y,y'),x)) -> +(z',+(+(x,y),y')) -> +(y',+(+(x,y),z')) -> +(+(y',+(x,y)),z') -> +(+(y,+(x,y')),z') -> +(+(x,y'),+(y,z')) -> +(+(+(y,z'),y'),x) -> +(+(y,z'),+(y',x)) -> +(y,+(z',+(y',x))) -> +(y,+(+(z',y'),x)) -> +(y,+(+(x,y'),z')) -> +(y,+(y',+(x,z'))) -> +(+(y,+(x,z')),y') -> +(y,+(+(x,z'),y')) -> +(y',+(+(x,z'),y)) -> +(y',+(+(y,z'),x)) -> +(y',+(y,+(z',x))) -> +(+(y',+(z',x)),y) -> +(+(x,+(z',y')),y) -> +(+(z',+(y',x)),y) -> +(+(y,+(y',x)),z') -> +(+(z',y),+(y',x)) -> +(+(+(y',x),y),z') -> +(+(+(y,x),y'),z')
SNodesPath2: +(+(+(y,x),y'),z') -> +(+(y,x),+(y',z')) -> +(y,+(x,+(y',z'))) -> +(y,+(+(x,y'),z')) -> +(+(y,+(x,y')),z') -> +(+(x,y'),+(y,z')) -> +(y',+(x,+(y,z'))) -> +(y',+(z',+(y,x))) -> +(y',+(y,+(x,z'))) -> +(y',+(+(y,x),z')) -> +(y',+(+(z',y),x)) -> +(+(z',y),+(x,y')) -> +(+(+(x,y'),y),z') -> +(+(z',+(x,y')),y) -> +(+(+(z',y'),x),y) -> +(+(y,x),+(z',y')) -> +(+(+(y,x),z'),y') -> +(+(y',+(y,x)),z') -> +(+(x,+(y,y')),z') -> +(x,+(+(y,y'),z')) -> +(x,+(y,+(y',z')))
TNodesPath2: +(x,+(y,+(y',z')))
+(+(+(y,x),y'),z') ->= +(+(+(y,x),y'),z') *<- +(x,+(y,+(y',z')))
+(x,+(y,+(y',z'))) ->= +(x,+(y,+(y',z'))) *<- +(+(+(y,x),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.6: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x,y),y'),z'),+(x,+(y,+(z',y')))>   =>  Not trivial, Overlay, Proper, NW0, N17
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x,y),y'),z')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79,24),(79,36),(79,68),(79,70),(79,74),(79,82),(79,83),(79,84),(80,36),(80,38),(80,64),(80,70),(80,74),(80,84),(80,85),(80,86),(81,16),(81,17),(81,18),(81,19),(81,30),(81,103),(81,110),(81,118),(82,17),(82,41),(82,43),(82,49),(82,56),(82,92),(82,105),(82,117),(83,5),(83,50),(83,62),(83,79),(83,95),(83,104),(83,106),(83,107),(84,2),(84,9),(84,76),(84,77),(84,78),(84,79),(84,80),(84,81),(85,11),(85,25),(85,34),(85,53),(85,80),(85,108),(85,109),(85,114),(86,14),(86,18),(86,66),(86,89),(86,96),(86,97),(86,98),(86,99),(87,12),(87,19),(87,26),(87,45),(87,102),(87,106),(87,112),(87,115),(88,12),(88,19),(88,32),(88,40),(88,96),(88,111),(88,112),(88,115),(89,22),(89,23),(89,24),(89,25),(89,26),(89,58),(89,113),(89,119),(90,35),(90,46),(90,47),(90,48),(90,49),(90,94),(90,107),(90,118),(91,22),(91,38),(91,39),(91,40),(91,41),(91,58),(91,113),(91,119),(92,14),(92,50),(92,62),(92,79),(92,89),(92,95),(92,96),(92,97),(93,20),(93,23),(93,67),(93,71),(93,75),(93,76),(93,104),(93,105),(94,22),(94,23),(94,24),(94,25),(94,26),(94,58),(94,113),(94,119),(95,11),(95,17),(95,34),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,55),(96,86),(96,88),(96,92),(96,93),(96,94),(97,3),(97,33),(97,69),(97,77),(97,86),(97,92),(97,94),(97,100),(98,8),(98,38),(98,59),(98,64),(98,85),(98,86),(98,115),(98,116),(99,25),(99,43),(99,49),(99,53),(99,56),(99,80),(99,105),(99,108),(100,6),(100,39),(100,57),(100,65),(100,87),(100,97),(100,109),(100,110),(101,7),(101,31),(101,62),(101,64),(101,65),(101,78),(101,112),(101,113),(102,20),(102,39),(102,57),(102,67),(102,75),(102,87),(102,97),(102,105),(103,15),(103,31),(103,32),(103,33),(103,34),(103,81),(103,116),(103,119),(104,13),(104,42),(104,55),(104,83),(104,88),(104,91),(104,93),(104,108),(105,4),(105,10),(105,82),(105,93),(105,99),(105,101),(105,102),(105,103),(106,13),(106,33),(106,69),(106,77),(106,83),(106,91),(106,100),(106,108),(107,22),(107,38),(107,39),(107,40),(107,41),(107,58),(107,113),(107,119),(108,5),(108,18),(108,66),(108,98),(108,99),(108,104),(108,106),(108,107),(109,21),(109,46),(109,54),(109,72),(109,85),(109,95),(109,100),(109,111),(110,15),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,119),(111,6),(111,23),(111,65),(111,71),(111,76),(111,104),(111,109),(111,110),(112,29),(112,52),(112,69),(112,70),(112,71),(112,90),(112,101),(112,114),(113,35),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,118),(114,7),(114,44),(114,66),(114,67),(114,68),(114,78),(114,112),(114,113),(115,37),(115,47),(115,61),(115,73),(115,87),(115,88),(115,98),(115,117),(116,30),(116,50),(116,51),(116,52),(116,53),(116,103),(116,110),(116,118),(117,8),(117,24),(117,59),(117,68),(117,82),(117,83),(117,115),(117,116),(118,60),(118,72),(118,73),(118,74),(118,75),(118,89),(118,90),(118,91),(119,60),(119,72),(119,73),(119,74),(119,75),(119,89),(119,90),(119,91)]
ID: 0 => ('+(+(+(x,y),y'),z')', D0)
ID: 1 => ('+(+(x,y),+(y',z'))', D1, R1, P[], S{x8 -> +(x,y), x9 -> y', x10 -> z'}), NR: '+(+(x,y),+(y',z'))'
ID: 2 => ('+(+(x,+(y,y')),z')', D1, R1, P[1], S{x8 -> x, x9 -> y, x10 -> y'}), NR: '+(x,+(y,y'))'
ID: 3 => ('+(y',+(+(x,y),z'))', D1, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 4 => ('+(+(y,+(x,y')),z')', D1, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 5 => ('+(+(z',+(x,y)),y')', D1, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 6 => ('+(+(+(y',x),y),z')', D1, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 7 => ('+(+(z',y'),+(x,y))', D1, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 8 => ('+(+(+(y',y),x),z')', D1, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 9 => ('+(x,+(y,+(y',z')))', D2, R1, P[], S{x8 -> x, x9 -> y, x10 -> +(y',z')}), NR: '+(x,+(y,+(y',z')))'
ID: 10 => ('+(y,+(x,+(y',z')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 11 => ('+(+(+(y',z'),x),y)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 12 => ('+(+(+(y',z'),y),x)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> y, x19 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 13 => ('+(+(+(x,y),z'),y')', D2, R6, P[], S{x23 -> +(x,y), x24 -> z', x25 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 14 => ('+(y',+(z',+(x,y)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 15 => ('+(z',+(y',+(x,y)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 16 => ('+(x,+(+(y,y'),z'))', D2, R1, P[], S{x8 -> x, x9 -> +(y,y'), x10 -> z'}), NR: '+(x,+(+(y,y'),z'))'
ID: 17 => ('+(+(y,y'),+(x,z'))', D2, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 18 => ('+(+(z',x),+(y,y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 19 => ('+(+(z',+(y,y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 20 => ('+(+(+(x,y'),y),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 21 => ('+(+(y,+(y',x)),z')', D2, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 22 => ('+(+(y',+(y,x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 23 => ('+(y',+(x,+(y,z')))', D2, R1, P[2], S{x8 -> x, x9 -> y, x10 -> z'}), NR: '+(x,+(y,z'))'
ID: 24 => ('+(y',+(y,+(x,z')))', D2, R2, P[2], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 25 => ('+(y',+(+(z',x),y))', D2, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 26 => ('+(y',+(+(z',y),x))', D2, R4, P[2], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 27 => ('+(+(y',+(x,y)),z')', D2, R5, P[], S{x20 -> y', x21 -> +(x,y), x22 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 28 => ('+(+(y',z'),+(x,y))', D2, R6, P[], S{x23 -> y', x24 -> z', x25 -> +(x,y)}), NR: '+(+(y',z'),+(x,y))'
ID: 29 => ('+(+(x,y),+(z',y'))', D2, R7, P[], S{x26 -> +(x,y), x27 -> z', x28 -> y'}), NR: '+(+(x,y),+(z',y'))'
ID: 30 => ('+(z',+(+(x,y),y'))', D2, R8, P[], S{x29 -> z', x30 -> +(x,y), x31 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 31 => ('+(y,+(+(x,y'),z'))', D2, R1, P[], S{x8 -> y, x9 -> +(x,y'), x10 -> z'}), NR: '+(y,+(+(x,y'),z'))'
ID: 32 => ('+(+(x,y'),+(y,z'))', D2, R2, P[], S{x11 -> +(x,y'), x12 -> y, x13 -> z'}), NR: '+(+(x,y'),+(y,z'))'
ID: 33 => ('+(+(z',y),+(x,y'))', D2, R3, P[], S{x14 -> z', x15 -> y, x16 -> +(x,y')}), NR: '+(+(z',y),+(x,y'))'
ID: 34 => ('+(+(z',+(x,y')),y)', D2, R4, P[], S{x17 -> z', x18 -> +(x,y'), x19 -> y}), NR: '+(+(z',+(x,y')),y)'
ID: 35 => ('+(+(+(y,x),y'),z')', D2, R5, P[1], S{x20 -> y, x21 -> x, x22 -> y'}), NR: '+(+(y,x),y')'
ID: 36 => ('+(+(+(y,y'),x),z')', D2, R6, P[1], S{x23 -> y, x24 -> y', x25 -> x}), NR: '+(+(y,y'),x)'
ID: 37 => ('+(+(x,+(y',y)),z')', D2, R7, P[1], S{x26 -> x, x27 -> y', x28 -> y}), NR: '+(x,+(y',y))'
ID: 38 => ('+(+(+(z',x),y),y')', D2, R5, P[1], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 39 => ('+(+(+(z',y),x),y')', D2, R6, P[1], S{x23 -> z', x24 -> y, x25 -> x}), NR: '+(+(z',y),x)'
ID: 40 => ('+(+(x,+(y,z')),y')', D2, R7, P[1], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 41 => ('+(+(y,+(x,z')),y')', D2, R8, P[1], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 42 => ('+(+(y',x),+(y,z'))', D2, R1, P[], S{x8 -> +(y',x), x9 -> y, x10 -> z'}), NR: '+(+(y',x),+(y,z'))'
ID: 43 => ('+(y,+(+(y',x),z'))', D2, R2, P[], S{x11 -> y, x12 -> +(y',x), x13 -> z'}), NR: '+(y,+(+(y',x),z'))'
ID: 44 => ('+(+(z',+(y',x)),y)', D2, R3, P[], S{x14 -> z', x15 -> +(y',x), x16 -> y}), NR: '+(+(z',+(y',x)),y)'
ID: 45 => ('+(+(z',y),+(y',x))', D2, R4, P[], S{x17 -> z', x18 -> y, x19 -> +(y',x)}), NR: '+(+(z',y),+(y',x))'
ID: 46 => ('+(+(+(z',y'),x),y)', D2, R5, P[], S{x20 -> +(z',y'), x21 -> x, x22 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 47 => ('+(+(+(z',y'),y),x)', D2, R6, P[], S{x23 -> +(z',y'), x24 -> y, x25 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 48 => ('+(x,+(y,+(z',y')))', D2, R7, P[], S{x26 -> x, x27 -> y, x28 -> +(z',y')}), NR: '+(x,+(y,+(z',y')))'
ID: 49 => ('+(y,+(x,+(z',y')))', D2, R8, P[], S{x29 -> y, x30 -> x, x31 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 50 => ('+(+(y',y),+(x,z'))', D2, R1, P[], S{x8 -> +(y',y), x9 -> x, x10 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 51 => ('+(x,+(+(y',y),z'))', D2, R2, P[], S{x11 -> x, x12 -> +(y',y), x13 -> z'}), NR: '+(x,+(+(y',y),z'))'
ID: 52 => ('+(+(z',+(y',y)),x)', D2, R3, P[], S{x14 -> z', x15 -> +(y',y), x16 -> x}), NR: '+(+(z',+(y',y)),x)'
ID: 53 => ('+(+(z',x),+(y',y))', D2, R4, P[], S{x17 -> z', x18 -> x, x19 -> +(y',y)}), NR: '+(+(z',x),+(y',y))'
ID: 54 => ('+(+(x,+(y',z')),y)', D3, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 55 => ('+(x,+(+(y,z'),y'))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 56 => ('+(y,+(+(y',z'),x))', D3, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 57 => ('+(x,+(y',+(z',y)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 58 => ('+(+(y',z'),+(y,x))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> y, x31 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 59 => ('+(x,+(z',+(y',y)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 60 => ('+(+(y,x),+(y',z'))', D3, R5, P[], S{x20 -> y, x21 -> x, x22 -> +(y',z')}), NR: '+(+(y,x),+(y',z'))'
ID: 61 => ('+(+(y,+(y',z')),x)', D3, R6, P[], S{x23 -> y, x24 -> +(y',z'), x25 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 62 => ('+(y,+(+(x,z'),y'))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 63 => ('+(x,+(+(y',z'),y))', D3, R7, P[], S{x26 -> x, x27 -> +(y',z'), x28 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 64 => ('+(y,+(y',+(z',x)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 65 => ('+(y,+(z',+(y',x)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 66 => ('+(+(y',+(z',x)),y)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 67 => ('+(+(+(x,y'),z'),y)', D3, R3, P[1], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 68 => ('+(+(+(x,z'),y'),y)', D3, R4, P[1], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 69 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 70 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 71 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 72 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 73 => ('+(z',+(+(y',y),x))', D3, R6, P[2], S{x23 -> y', x24 -> y, x25 -> x}), NR: '+(+(y',y),x)'
ID: 74 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 75 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 76 => ('+(x,+(y',+(y,z')))', D3, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 77 => ('+(x,+(+(z',y),y'))', D3, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 78 => ('+(x,+(+(z',y'),y))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 79 => ('+(+(x,z'),+(y,y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 80 => ('+(+(y,y'),+(z',x))', D3, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 81 => ('+(z',+(+(y,y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 82 => ('+(y,+(y',+(x,z')))', D3, R1, P[], S{x8 -> y, x9 -> y', x10 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 83 => ('+(+(+(x,z'),y),y')', D3, R3, P[], S{x14 -> +(x,z'), x15 -> y, x16 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 84 => ('+(x,+(z',+(y,y')))', D3, R7, P[], S{x26 -> x, x27 -> z', x28 -> +(y,y')}), NR: '+(x,+(z',+(y,y')))'
ID: 85 => ('+(+(+(z',x),y'),y)', D3, R6, P[], S{x23 -> +(z',x), x24 -> y', x25 -> y}), NR: '+(+(+(z',x),y'),y)'
ID: 86 => ('+(y',+(y,+(z',x)))', D3, R8, P[], S{x29 -> y', x30 -> y, x31 -> +(z',x)}), NR: '+(y',+(y,+(z',x)))'
ID: 87 => ('+(+(+(z',y),y'),x)', D3, R5, P[1], S{x20 -> z', x21 -> y, x22 -> y'}), NR: '+(+(z',y),y')'
ID: 88 => ('+(+(y',+(y,z')),x)', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> z'}), NR: '+(y',+(y,z'))'
ID: 89 => ('+(y',+(+(y,x),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(y,x), x10 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 90 => ('+(+(z',y'),+(y,x))', D3, R3, P[], S{x14 -> z', x15 -> y', x16 -> +(y,x)}), NR: '+(+(z',y'),+(y,x))'
ID: 91 => ('+(+(z',+(y,x)),y')', D3, R4, P[], S{x17 -> z', x18 -> +(y,x), x19 -> y'}), NR: '+(+(z',+(y,x)),y')'
ID: 92 => ('+(y',+(+(x,z'),y))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 93 => ('+(+(y,z'),+(x,y'))', D3, R8, P[], S{x29 -> +(y,z'), x30 -> x, x31 -> y'}), NR: '+(+(y,z'),+(x,y'))'
ID: 94 => ('+(y',+(z',+(y,x)))', D3, R8, P[2], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 95 => ('+(+(y',+(x,z')),y)', D3, R6, P[], S{x23 -> y', x24 -> +(x,z'), x25 -> y}), NR: '+(+(y',+(x,z')),y)'
ID: 96 => ('+(y',+(+(y,z'),x))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> x}), NR: '+(+(y,z'),x)'
ID: 97 => ('+(y',+(x,+(z',y)))', D3, R7, P[2], S{x26 -> x, x27 -> z', x28 -> y}), NR: '+(x,+(z',y))'
ID: 98 => ('+(+(y',y),+(z',x))', D3, R6, P[], S{x23 -> y', x24 -> y, x25 -> +(z',x)}), NR: '+(+(y',y),+(z',x))'
ID: 99 => ('+(y,+(+(z',x),y'))', D3, R8, P[], S{x29 -> y, x30 -> +(z',x), x31 -> y'}), NR: '+(y,+(+(z',x),y'))'
ID: 100 => ('+(+(y',x),+(z',y))', D3, R6, P[], S{x23 -> y', x24 -> x, x25 -> +(z',y)}), NR: '+(+(y',x),+(z',y))'
ID: 101 => ('+(y,+(+(z',y'),x))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 102 => ('+(+(x,y'),+(z',y))', D3, R7, P[], S{x26 -> +(x,y'), x27 -> z', x28 -> y}), NR: '+(+(x,y'),+(z',y))'
ID: 103 => ('+(z',+(+(x,y'),y))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 104 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 105 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 106 => ('+(+(x,+(z',y)),y')', D3, R2, P[1], S{x11 -> x, x12 -> z', x13 -> y}), NR: '+(x,+(z',y))'
ID: 107 => ('+(+(+(y,x),z'),y')', D3, R4, P[1], S{x17 -> y, x18 -> x, x19 -> z'}), NR: '+(+(y,x),z')'
ID: 108 => ('+(+(y,+(z',x)),y')', D3, R2, P[1], S{x11 -> y, x12 -> z', x13 -> x}), NR: '+(y,+(z',x))'
ID: 109 => ('+(+(+(y',x),z'),y)', D3, R6, P[], S{x23 -> +(y',x), x24 -> z', x25 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 110 => ('+(z',+(y,+(y',x)))', D3, R8, P[], S{x29 -> z', x30 -> y, x31 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 111 => ('+(+(y,z'),+(y',x))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(y',x)}), NR: '+(+(y,z'),+(y',x))'
ID: 112 => ('+(+(y,+(z',y')),x)', D3, R3, P[], S{x14 -> y, x15 -> +(z',y'), x16 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 113 => ('+(+(y,x),+(z',y'))', D3, R4, P[], S{x17 -> y, x18 -> x, x19 -> +(z',y')}), NR: '+(+(y,x),+(z',y'))'
ID: 114 => ('+(+(x,+(z',y')),y)', D3, R3, P[], S{x14 -> x, x15 -> +(z',y'), x16 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 115 => ('+(+(+(y',y),z'),x)', D3, R6, P[], S{x23 -> +(y',y), x24 -> z', x25 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 116 => ('+(z',+(x,+(y',y)))', D3, R8, P[], S{x29 -> z', x30 -> x, x31 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 117 => ('+(+(x,z'),+(y',y))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 118 => ('+(z',+(y',+(y,x)))', D4, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 119 => ('+(z',+(+(y,x),y'))', D4, R4, P[2], S{x17 -> y, x18 -> x, x19 -> y'}), NR: '+(+(y,x),y')'
t: +(x,+(y,+(z',y')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(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ID: 0 => ('+(x,+(y,+(z',y')))', D0)
ID: 1 => ('+(+(x,y),+(z',y'))', D1, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(z',y')}), NR: '+(+(x,y),+(z',y'))'
ID: 2 => ('+(x,+(+(y,z'),y'))', D1, R5, P[2], S{x20 -> y, x21 -> z', x22 -> y'}), NR: '+(+(y,z'),y')'
ID: 3 => ('+(+(x,+(z',y')),y)', D1, R6, P[], S{x23 -> x, x24 -> +(z',y'), x25 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 4 => ('+(x,+(+(y,y'),z'))', D1, R6, P[2], S{x23 -> y, x24 -> y', x25 -> z'}), NR: '+(+(y,y'),z')'
ID: 5 => ('+(y,+(+(z',y'),x))', D1, R7, P[], S{x26 -> y, x27 -> +(z',y'), x28 -> x}), NR: '+(y,+(+(z',y'),x))'
ID: 6 => ('+(x,+(z',+(y',y)))', D1, R7, P[2], S{x26 -> z', x27 -> y', x28 -> y}), NR: '+(z',+(y',y))'
ID: 7 => ('+(+(z',y'),+(y,x))', D1, R8, P[], S{x29 -> +(z',y'), x30 -> y, x31 -> x}), NR: '+(+(z',y'),+(y,x))'
ID: 8 => ('+(x,+(y',+(z',y)))', D1, R8, P[2], S{x29 -> y', x30 -> z', x31 -> y}), NR: '+(y',+(z',y))'
ID: 9 => ('+(y,+(x,+(z',y')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 10 => ('+(+(+(z',y'),x),y)', D2, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 11 => ('+(+(+(z',y'),y),x)', D2, R4, P[], S{x17 -> +(z',y'), x18 -> y, x19 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 12 => ('+(+(+(x,y),z'),y')', D2, R5, P[], S{x20 -> +(x,y), x21 -> z', x22 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 13 => ('+(+(+(x,y),y'),z')', D2, R6, P[], S{x23 -> +(x,y), x24 -> y', x25 -> z'}), NR: '+(+(+(x,y),y'),z')'
ID: 14 => ('+(z',+(y',+(x,y)))', D2, R7, P[], S{x26 -> z', x27 -> y', x28 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 15 => ('+(y',+(z',+(x,y)))', D2, R8, P[], S{x29 -> y', x30 -> z', x31 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 16 => ('+(x,+(z',+(y,y')))', D2, R2, P[2], S{x11 -> z', x12 -> y, x13 -> y'}), NR: '+(z',+(y,y'))'
ID: 17 => ('+(x,+(+(y',y),z'))', D2, R3, P[2], S{x14 -> y', x15 -> y, x16 -> z'}), NR: '+(+(y',y),z')'
ID: 18 => ('+(x,+(+(y',z'),y))', D2, R4, P[2], S{x17 -> y', x18 -> z', x19 -> y}), NR: '+(+(y',z'),y)'
ID: 19 => ('+(+(x,+(y,z')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(y,z'), x22 -> y'}), NR: '+(+(x,+(y,z')),y')'
ID: 20 => ('+(+(x,y'),+(y,z'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(y,z')}), NR: '+(+(x,y'),+(y,z'))'
ID: 21 => ('+(+(y,z'),+(y',x))', D2, R7, P[], S{x26 -> +(y,z'), x27 -> y', x28 -> x}), NR: '+(+(y,z'),+(y',x))'
ID: 22 => ('+(y',+(+(y,z'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(y,z'), x31 -> x}), NR: '+(y',+(+(y,z'),x))'
ID: 23 => ('+(x,+(+(z',y'),y))', D2, R1, P[], S{x8 -> x, x9 -> +(z',y'), x10 -> y}), NR: '+(x,+(+(z',y'),y))'
ID: 24 => ('+(+(z',y'),+(x,y))', D2, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> y}), NR: '+(+(z',y'),+(x,y))'
ID: 25 => ('+(+(y,x),+(z',y'))', D2, R3, P[], S{x14 -> y, x15 -> x, x16 -> +(z',y')}), NR: '+(+(y,x),+(z',y'))'
ID: 26 => ('+(+(y,+(z',y')),x)', D2, R4, P[], S{x17 -> y, x18 -> +(z',y'), x19 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 27 => ('+(+(+(x,z'),y'),y)', D2, R5, P[1], S{x20 -> x, x21 -> z', x22 -> y'}), NR: '+(+(x,z'),y')'
ID: 28 => ('+(+(+(x,y'),z'),y)', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> z'}), NR: '+(+(x,y'),z')'
ID: 29 => ('+(+(z',+(y',x)),y)', D2, R7, P[1], S{x26 -> z', x27 -> y', x28 -> x}), NR: '+(z',+(y',x))'
ID: 30 => ('+(+(y',+(z',x)),y)', D2, R8, P[1], S{x29 -> y', x30 -> z', x31 -> x}), NR: '+(y',+(z',x))'
ID: 31 => ('+(x,+(y,+(y',z')))', D2, R1, P[2], S{x8 -> y, x9 -> y', x10 -> z'}), NR: '+(y,+(y',z'))'
ID: 32 => ('+(x,+(y',+(y,z')))', D2, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 33 => ('+(x,+(+(z',y),y'))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 34 => ('+(+(x,+(y,y')),z')', D2, R5, P[], S{x20 -> x, x21 -> +(y,y'), x22 -> z'}), NR: '+(+(x,+(y,y')),z')'
ID: 35 => ('+(+(x,z'),+(y,y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 36 => ('+(+(y,y'),+(z',x))', D2, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 37 => ('+(z',+(+(y,y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 38 => ('+(y,+(z',+(y',x)))', D2, R1, P[2], S{x8 -> z', x9 -> y', x10 -> x}), NR: '+(z',+(y',x))'
ID: 39 => ('+(y,+(y',+(z',x)))', D2, R2, P[2], S{x11 -> y', x12 -> z', x13 -> x}), NR: '+(y',+(z',x))'
ID: 40 => ('+(y,+(+(x,z'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> z', x16 -> y'}), NR: '+(+(x,z'),y')'
ID: 41 => ('+(y,+(+(x,y'),z'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> z'}), NR: '+(+(x,y'),z')'
ID: 42 => ('+(+(x,z'),+(y',y))', D2, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 43 => ('+(+(x,+(y',y)),z')', D2, R6, P[], S{x23 -> x, x24 -> +(y',y), x25 -> z'}), NR: '+(+(x,+(y',y)),z')'
ID: 44 => ('+(z',+(+(y',y),x))', D2, R7, P[], S{x26 -> z', x27 -> +(y',y), x28 -> x}), NR: '+(z',+(+(y',y),x))'
ID: 45 => ('+(+(y',y),+(z',x))', D2, R8, P[], S{x29 -> +(y',y), x30 -> z', x31 -> x}), NR: '+(+(y',y),+(z',x))'
ID: 46 => ('+(z',+(y',+(y,x)))', D2, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 47 => ('+(y',+(z',+(y,x)))', D2, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 48 => ('+(+(+(y,x),z'),y')', D2, R3, P[], S{x14 -> +(y,x), x15 -> z', x16 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 49 => ('+(+(+(y,x),y'),z')', D2, R4, P[], S{x17 -> +(y,x), x18 -> y', x19 -> z'}), NR: '+(+(+(y,x),y'),z')'
ID: 50 => ('+(+(x,y'),+(z',y))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',y)}), NR: '+(+(x,y'),+(z',y))'
ID: 51 => ('+(+(x,+(z',y)),y')', D2, R6, P[], S{x23 -> x, x24 -> +(z',y), x25 -> y'}), NR: '+(+(x,+(z',y)),y')'
ID: 52 => ('+(y',+(+(z',y),x))', D2, R7, P[], S{x26 -> y', x27 -> +(z',y), x28 -> x}), NR: '+(y',+(+(z',y),x))'
ID: 53 => ('+(+(z',y),+(y',x))', D2, R8, P[], S{x29 -> +(z',y), x30 -> y', x31 -> x}), NR: '+(+(z',y),+(y',x))'
ID: 54 => ('+(+(z',+(y',y)),x)', D3, R1, P[1], S{x8 -> z', x9 -> y', x10 -> y}), NR: '+(z',+(y',y))'
ID: 55 => ('+(+(y',+(z',y)),x)', D3, R2, P[1], S{x11 -> y', x12 -> z', x13 -> y}), NR: '+(y',+(z',y))'
ID: 56 => ('+(+(+(y,z'),y'),x)', D3, R3, P[1], S{x14 -> y, x15 -> z', x16 -> y'}), NR: '+(+(y,z'),y')'
ID: 57 => ('+(+(+(y,y'),z'),x)', D3, R4, P[1], S{x17 -> y, x18 -> y', x19 -> z'}), NR: '+(+(y,y'),z')'
ID: 58 => ('+(z',+(+(x,y),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y), x13 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 59 => ('+(+(y,+(x,z')),y')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 60 => ('+(+(y',+(x,y)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x,y), x16 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 61 => ('+(+(+(z',x),y),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 62 => ('+(+(y',z'),+(x,y))', D3, R4, P[], S{x17 -> y', x18 -> z', x19 -> +(x,y)}), NR: '+(+(y',z'),+(x,y))'
ID: 63 => ('+(+(+(z',y),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 64 => ('+(+(x,y),+(y',z'))', D3, R1, P[], S{x8 -> +(x,y), x9 -> y', x10 -> z'}), NR: '+(+(x,y),+(y',z'))'
ID: 65 => ('+(y',+(+(x,y),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 66 => ('+(+(y,+(x,y')),z')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 67 => ('+(+(z',+(x,y)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 68 => ('+(+(+(y',x),y),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 69 => ('+(+(+(y',y),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 70 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 71 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 72 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 73 => ('+(y',+(+(z',x),y))', D3, R5, P[2], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 74 => ('+(y',+(x,+(y,z')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 75 => ('+(y',+(y,+(x,z')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 76 => ('+(+(x,+(y',z')),y)', D3, R5, P[], S{x20 -> x, x21 -> +(y',z'), x22 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 77 => ('+(+(y',z'),+(y,x))', D3, R7, P[], S{x26 -> +(y',z'), x27 -> y, x28 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 78 => ('+(y,+(+(y',z'),x))', D3, R8, P[], S{x29 -> y, x30 -> +(y',z'), x31 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 79 => ('+(+(y,z'),+(x,y'))', D3, R2, P[], S{x11 -> +(y,z'), x12 -> x, x13 -> y'}), NR: '+(+(y,z'),+(x,y'))'
ID: 80 => ('+(+(y',x),+(y,z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(y,z')}), NR: '+(+(y',x),+(y,z'))'
ID: 81 => ('+(+(y',+(y,z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(y,z'), x19 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 82 => ('+(+(+(x,z'),y),y')', D3, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 83 => ('+(+(y,+(z',x)),y')', D3, R7, P[1], S{x26 -> y, x27 -> z', x28 -> x}), NR: '+(y,+(z',x))'
ID: 84 => ('+(+(z',+(y,x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 85 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 86 => ('+(+(+(x,y'),y),z')', D3, R5, P[], S{x20 -> +(x,y'), x21 -> y, x22 -> z'}), NR: '+(+(+(x,y'),y),z')'
ID: 87 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 88 => ('+(z',+(y,+(y',x)))', D3, R2, P[], S{x11 -> z', x12 -> y, x13 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 89 => ('+(+(+(y',x),z'),y)', D3, R4, P[], S{x17 -> +(y',x), x18 -> z', x19 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 90 => ('+(y',+(y,+(z',x)))', D3, R1, P[2], S{x8 -> y, x9 -> z', x10 -> x}), NR: '+(y,+(z',x))'
ID: 91 => ('+(y',+(+(x,z'),y))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y}), NR: '+(+(x,z'),y)'
ID: 92 => ('+(+(z',+(x,y')),y)', D3, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 93 => ('+(+(y,y'),+(x,z'))', D3, R4, P[], S{x17 -> y, x18 -> y', x19 -> +(x,z')}), NR: '+(+(y,y'),+(x,z'))'
ID: 94 => ('+(+(+(y',z'),x),y)', D3, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x}), NR: '+(+(y',z'),x)'
ID: 95 => ('+(z',+(+(x,y'),y))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y'), x13 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 96 => ('+(+(y',+(x,z')),y)', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 97 => ('+(+(+(z',x),y'),y)', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 98 => ('+(+(y',x),+(z',y))', D3, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> y}), NR: '+(+(y',x),+(z',y))'
ID: 99 => ('+(+(y,+(y',x)),z')', D3, R4, P[], S{x17 -> y, x18 -> +(y',x), x19 -> z'}), NR: '+(+(y,+(y',x)),z')'
ID: 100 => ('+(+(z',x),+(y',y))', D3, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> y}), NR: '+(+(z',x),+(y',y))'
ID: 101 => ('+(+(z',x),+(y,y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 102 => ('+(+(z',+(y,y')),x)', D3, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 103 => ('+(+(y',+(y,x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 104 => ('+(+(+(y,y'),x),z')', D3, R3, P[], S{x14 -> +(y,y'), x15 -> x, x16 -> z'}), NR: '+(+(+(y,y'),x),z')'
ID: 105 => ('+(y,+(y',+(x,z')))', D3, R7, P[], S{x26 -> y, x27 -> y', x28 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 106 => ('+(y,+(+(z',x),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 107 => ('+(y,+(x,+(y',z')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> z'}), NR: '+(x,+(y',z'))'
ID: 108 => ('+(y,+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 109 => ('+(z',+(x,+(y',y)))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 110 => ('+(+(+(y',y),z'),x)', D3, R4, P[], S{x17 -> +(y',y), x18 -> z', x19 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 111 => ('+(+(y',y),+(x,z'))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x, x13 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 112 => ('+(y',+(+(y,x),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 113 => ('+(+(y,x),+(y',z'))', D3, R8, P[], S{x29 -> +(y,x), x30 -> y', x31 -> z'}), NR: '+(+(y,x),+(y',z'))'
ID: 114 => ('+(z',+(+(y,x),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(y,x), x28 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 115 => ('+(y',+(x,+(z',y)))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 116 => ('+(+(+(z',y),y'),x)', D3, R4, P[], S{x17 -> +(z',y), x18 -> y', x19 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 117 => ('+(+(z',y),+(x,y'))', D3, R2, P[], S{x11 -> +(z',y), x12 -> x, x13 -> y'}), NR: '+(+(z',y),+(x,y'))'
ID: 118 => ('+(+(y,+(y',z')),x)', D4, R8, P[1], S{x29 -> y, x30 -> y', x31 -> z'}), NR: '+(y,+(y',z'))'
ID: 119 => ('+(+(+(y',z'),y),x)', D4, R5, P[1], S{x20 -> y', x21 -> z', x22 -> y}), NR: '+(+(y',z'),y)'
SNodesPath1: +(+(+(x,y),y'),z')
TNodesPath1: +(x,+(y,+(z',y'))) -> +(+(x,y),+(z',y')) -> +(y,+(x,+(z',y'))) -> +(x,+(+(z',y'),y)) -> +(x,+(+(y,z'),y')) -> +(x,+(z',+(y,y'))) -> +(x,+(y,+(y',z'))) -> +(x,+(+(y,y'),z')) -> +(x,+(y',+(y,z'))) -> +(x,+(+(y',y),z')) -> +(x,+(+(z',y),y')) -> +(x,+(+(y',z'),y)) -> +(x,+(z',+(y',y))) -> +(+(x,z'),+(y',y)) -> +(+(+(x,z'),y'),y) -> +(+(x,+(z',y')),y) -> +(+(z',y'),+(x,y)) -> +(+(+(z',y'),x),y) -> +(+(y,x),+(z',y')) -> +(+(+(z',y'),y),x) -> +(y,+(+(z',y'),x)) -> +(+(y,+(z',y')),x) -> +(+(z',y'),+(y,x)) -> +(z',+(y',+(y,x))) -> +(z',+(+(y',y),x)) -> +(+(z',+(y',y)),x) -> +(+(x,+(y',y)),z') -> +(+(+(x,y),y'),z')
SNodesPath2: +(+(+(x,y),y'),z') -> +(+(x,y),+(y',z')) -> +(x,+(y,+(y',z'))) -> +(x,+(+(y,y'),z')) -> +(+(x,+(y,y')),z') -> +(+(y,y'),+(x,z')) -> +(y',+(y,+(x,z'))) -> +(y',+(z',+(x,y))) -> +(y',+(x,+(y,z'))) -> +(y',+(+(x,y),z')) -> +(y',+(+(z',x),y)) -> +(+(z',x),+(y,y')) -> +(+(+(y,y'),x),z') -> +(+(z',+(y,y')),x) -> +(+(+(z',y'),y),x) -> +(+(x,y),+(z',y')) -> +(+(+(x,y),z'),y') -> +(+(y',+(x,y)),z') -> +(+(y,+(x,y')),z') -> +(y,+(+(x,y'),z')) -> +(y,+(x,+(y',z'))) -> +(+(y',z'),+(x,y)) -> +(+(+(y',z'),x),y) -> +(+(z',+(y',x)),y) -> +(+(y,+(y',x)),z') -> +(+(+(y,x),y'),z') -> +(+(+(y',x),y),z') -> +(+(x,+(y',y)),z') -> +(+(+(x,y'),y),z') -> +(+(x,y'),+(y,z')) -> +(+(+(x,y'),z'),y) -> +(+(+(z',y'),x),y) -> +(+(z',y'),+(x,y)) -> +(z',+(y',+(x,y))) -> +(+(z',+(x,y)),y') -> +(z',+(+(x,y),y')) -> +(z',+(+(y',x),y)) -> +(+(y',x),+(y,z')) -> +(y,+(z',+(y',x))) -> +(y,+(y',+(x,z'))) -> +(+(y,+(x,z')),y') -> +(+(y',y),+(x,z')) -> +(+(+(y',y),x),z') -> +(+(y',+(y,x)),z') -> +(+(y,x),+(y',z')) -> +(+(+(y',z'),y),x) -> +(+(z',+(y',y)),x) -> +(+(y,+(y',z')),x) -> +(+(x,+(y',z')),y) -> +(x,+(+(y',z'),y)) -> +(x,+(+(y,z'),y')) -> +(+(x,+(y,z')),y') -> +(+(+(x,z'),y),y') -> +(y,+(+(x,z'),y')) -> +(y,+(+(y',x),z')) -> +(y,+(+(z',x),y')) -> +(y,+(x,+(z',y'))) -> +(y,+(y',+(z',x))) -> +(+(z',x),+(y',y)) -> +(+(+(z',x),y),y') -> +(+(y',+(z',x)),y) -> +(+(z',+(x,y')),y) -> +(+(+(z',x),y'),y) -> +(+(y,y'),+(z',x)) -> +(+(+(y,y'),z'),x) -> +(+(x,z'),+(y,y')) -> +(+(+(x,z'),y'),y) -> +(y',+(+(x,z'),y)) -> +(y',+(+(y,x),z')) -> +(y',+(+(z',y),x)) -> +(+(z',y),+(x,y')) -> +(+(+(z',y),x),y') -> +(+(y',+(z',y)),x) -> +(+(z',y),+(y',x)) -> +(x,+(y',+(z',y))) -> +(x,+(y,+(z',y')))
TNodesPath2: +(x,+(y,+(z',y')))
+(+(+(x,y),y'),z') ->= +(+(+(x,y),y'),z') *<- +(x,+(y,+(z',y')))
+(x,+(y,+(z',y'))) ->= +(x,+(y,+(z',y'))) *<- +(+(+(x,y),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.7: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),z),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N21
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),z)
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79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ID: 0 => ('+(+(+(x',y'),z'),z)', D0)
ID: 1 => ('+(+(x',y'),+(z',z))', D1, R1, P[], S{x8 -> +(x',y'), x9 -> z', x10 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 2 => ('+(+(x',+(y',z')),z)', D1, R1, P[1], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 3 => ('+(z',+(+(x',y'),z))', D1, R2, P[], S{x11 -> z', x12 -> +(x',y'), x13 -> z}), NR: '+(z',+(+(x',y'),z))'
ID: 4 => ('+(+(y',+(x',z')),z)', D1, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 5 => ('+(+(z,+(x',y')),z')', D1, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 6 => ('+(+(+(z',x'),y'),z)', D1, R3, P[1], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 7 => ('+(+(z,z'),+(x',y'))', D1, R4, P[], S{x17 -> z, x18 -> z', x19 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 8 => ('+(+(+(z',y'),x'),z)', D1, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 9 => ('+(x',+(y',+(z',z)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',z)}), NR: '+(x',+(y',+(z',z)))'
ID: 10 => ('+(y',+(x',+(z',z)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 11 => ('+(+(+(z',z),x'),y')', D2, R3, P[], S{x14 -> +(z',z), x15 -> x', x16 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 12 => ('+(+(+(z',z),y'),x')', D2, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 13 => ('+(+(+(x',y'),z),z')', D2, R6, P[], S{x23 -> +(x',y'), x24 -> z, x25 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 14 => ('+(z',+(z,+(x',y')))', D2, R7, P[], S{x26 -> z', x27 -> z, x28 -> +(x',y')}), NR: '+(z',+(z,+(x',y')))'
ID: 15 => ('+(z,+(z',+(x',y')))', D2, R8, P[], S{x29 -> z, x30 -> z', x31 -> +(x',y')}), NR: '+(z,+(z',+(x',y')))'
ID: 16 => ('+(x',+(+(y',z'),z))', D2, R1, P[], S{x8 -> x', x9 -> +(y',z'), x10 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 17 => ('+(+(y',z'),+(x',z))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x', x13 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 18 => ('+(+(z,x'),+(y',z'))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 19 => ('+(+(z,+(y',z')),x')', D2, R4, P[], S{x17 -> z, x18 -> +(y',z'), x19 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 20 => ('+(+(+(x',z'),y'),z)', D2, R6, P[1], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 21 => ('+(+(y',+(z',x')),z)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 22 => ('+(+(z',+(y',x')),z)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 23 => ('+(z',+(x',+(y',z)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 24 => ('+(z',+(y',+(x',z)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 25 => ('+(z',+(+(z,x'),y'))', D2, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 26 => ('+(z',+(+(z,y'),x'))', D2, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 27 => ('+(+(z',+(x',y')),z)', D2, R5, P[], S{x20 -> z', x21 -> +(x',y'), x22 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 28 => ('+(+(z',z),+(x',y'))', D2, R6, P[], S{x23 -> z', x24 -> z, x25 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 29 => ('+(+(x',y'),+(z,z'))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z, x28 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 30 => ('+(z,+(+(x',y'),z'))', D2, R8, P[], S{x29 -> z, x30 -> +(x',y'), x31 -> z'}), NR: '+(z,+(+(x',y'),z'))'
ID: 31 => ('+(y',+(+(x',z'),z))', D2, R1, P[], S{x8 -> y', x9 -> +(x',z'), x10 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 32 => ('+(+(x',z'),+(y',z))', D2, R2, P[], S{x11 -> +(x',z'), x12 -> y', x13 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 33 => ('+(+(z,y'),+(x',z'))', D2, R3, P[], S{x14 -> z, x15 -> y', x16 -> +(x',z')}), NR: '+(+(z,y'),+(x',z'))'
ID: 34 => ('+(+(z,+(x',z')),y')', D2, R4, P[], S{x17 -> z, x18 -> +(x',z'), x19 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 35 => ('+(+(+(y',x'),z'),z)', D2, R5, P[1], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 36 => ('+(+(+(y',z'),x'),z)', D2, R6, P[1], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 37 => ('+(+(x',+(z',y')),z)', D2, R7, P[1], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 38 => ('+(+(+(z,x'),y'),z')', D2, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 39 => ('+(+(+(z,y'),x'),z')', D2, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 40 => ('+(+(x',+(y',z)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 41 => ('+(+(y',+(x',z)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 42 => ('+(+(z',x'),+(y',z))', D2, R1, P[], S{x8 -> +(z',x'), x9 -> y', x10 -> z}), NR: '+(+(z',x'),+(y',z))'
ID: 43 => ('+(y',+(+(z',x'),z))', D2, R2, P[], S{x11 -> y', x12 -> +(z',x'), x13 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 44 => ('+(+(z,+(z',x')),y')', D2, R3, P[], S{x14 -> z, x15 -> +(z',x'), x16 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 45 => ('+(+(z,y'),+(z',x'))', D2, R4, P[], S{x17 -> z, x18 -> y', x19 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 46 => ('+(+(+(z,z'),x'),y')', D2, R5, P[], S{x20 -> +(z,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 47 => ('+(+(+(z,z'),y'),x')', D2, R6, P[], S{x23 -> +(z,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 48 => ('+(x',+(y',+(z,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 49 => ('+(y',+(x',+(z,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 50 => ('+(+(z',y'),+(x',z))', D2, R1, P[], S{x8 -> +(z',y'), x9 -> x', x10 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 51 => ('+(x',+(+(z',y'),z))', D2, R2, P[], S{x11 -> x', x12 -> +(z',y'), x13 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 52 => ('+(+(z,+(z',y')),x')', D2, R3, P[], S{x14 -> z, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 53 => ('+(+(z,x'),+(z',y'))', D2, R4, P[], S{x17 -> z, x18 -> x', x19 -> +(z',y')}), NR: '+(+(z,x'),+(z',y'))'
ID: 54 => ('+(+(x',+(z',z)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(z',z), x25 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 55 => ('+(x',+(+(y',z),z'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 56 => ('+(y',+(+(z',z),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',z), x28 -> x'}), NR: '+(y',+(+(z',z),x'))'
ID: 57 => ('+(x',+(z',+(z,y')))', D3, R7, P[2], S{x26 -> z', x27 -> z, x28 -> y'}), NR: '+(z',+(z,y'))'
ID: 58 => ('+(+(z',z),+(y',x'))', D3, R8, P[], S{x29 -> +(z',z), x30 -> y', x31 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 59 => ('+(x',+(z,+(z',y')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 60 => ('+(+(y',x'),+(z',z))', D3, R5, P[], S{x20 -> y', x21 -> x', x22 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 61 => ('+(+(y',+(z',z)),x')', D3, R6, P[], S{x23 -> y', x24 -> +(z',z), x25 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 62 => ('+(y',+(+(x',z),z'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> z'}), NR: '+(+(x',z),z')'
ID: 63 => ('+(x',+(+(z',z),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',z), x28 -> y'}), NR: '+(x',+(+(z',z),y'))'
ID: 64 => ('+(y',+(z',+(z,x')))', D3, R7, P[2], S{x26 -> z', x27 -> z, x28 -> x'}), NR: '+(z',+(z,x'))'
ID: 65 => ('+(y',+(z,+(z',x')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> x'}), NR: '+(z,+(z',x'))'
ID: 66 => ('+(+(z',+(z,x')),y')', D3, R1, P[1], S{x8 -> z', x9 -> z, x10 -> x'}), NR: '+(z',+(z,x'))'
ID: 67 => ('+(+(+(x',z'),z),y')', D3, R3, P[1], S{x14 -> x', x15 -> z', x16 -> z}), NR: '+(+(x',z'),z)'
ID: 68 => ('+(+(+(x',z),z'),y')', D3, R4, P[1], S{x17 -> x', x18 -> z, x19 -> z'}), NR: '+(+(x',z),z')'
ID: 69 => ('+(+(z',+(z,y')),x')', D3, R1, P[1], S{x8 -> z', x9 -> z, x10 -> y'}), NR: '+(z',+(z,y'))'
ID: 70 => ('+(+(+(y',z'),z),x')', D3, R3, P[1], S{x14 -> y', x15 -> z', x16 -> z}), NR: '+(+(y',z'),z)'
ID: 71 => ('+(+(+(y',z),z'),x')', D3, R4, P[1], S{x17 -> y', x18 -> z, x19 -> z'}), NR: '+(+(y',z),z')'
ID: 72 => ('+(z,+(+(z',x'),y'))', D3, R5, P[2], S{x20 -> z', x21 -> x', x22 -> y'}), NR: '+(+(z',x'),y')'
ID: 73 => ('+(z,+(+(z',y'),x'))', D3, R6, P[2], S{x23 -> z', x24 -> y', x25 -> x'}), NR: '+(+(z',y'),x')'
ID: 74 => ('+(z,+(x',+(y',z')))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> z'}), NR: '+(x',+(y',z'))'
ID: 75 => ('+(z,+(y',+(x',z')))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> z'}), NR: '+(y',+(x',z'))'
ID: 76 => ('+(x',+(z',+(y',z)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 77 => ('+(x',+(+(z,y'),z'))', D3, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 78 => ('+(x',+(+(z,z'),y'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 79 => ('+(+(x',z),+(y',z'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 80 => ('+(+(y',z'),+(z,x'))', D3, R7, P[], S{x26 -> +(y',z'), x27 -> z, x28 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 81 => ('+(z,+(+(y',z'),x'))', D3, R8, P[], S{x29 -> z, x30 -> +(y',z'), x31 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 82 => ('+(y',+(z',+(x',z)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 83 => ('+(+(+(x',z),y'),z')', D3, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 84 => ('+(x',+(z,+(y',z')))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 85 => ('+(+(+(z,x'),z'),y')', D3, R6, P[], S{x23 -> +(z,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 86 => ('+(z',+(y',+(z,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 87 => ('+(+(+(z,y'),z'),x')', D3, R5, P[1], S{x20 -> z, x21 -> y', x22 -> z'}), NR: '+(+(z,y'),z')'
ID: 88 => ('+(+(z',+(y',z)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> z}), NR: '+(z',+(y',z))'
ID: 89 => ('+(z',+(+(y',x'),z))', D3, R1, P[], S{x8 -> z', x9 -> +(y',x'), x10 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 90 => ('+(+(z,z'),+(y',x'))', D3, R3, P[], S{x14 -> z, x15 -> z', x16 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 91 => ('+(+(z,+(y',x')),z')', D3, R4, P[], S{x17 -> z, x18 -> +(y',x'), x19 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 92 => ('+(z',+(+(x',z),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 93 => ('+(+(y',z),+(x',z'))', D3, R8, P[], S{x29 -> +(y',z), x30 -> x', x31 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 94 => ('+(z',+(z,+(y',x')))', D3, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 95 => ('+(+(z',+(x',z)),y')', D3, R6, P[], S{x23 -> z', x24 -> +(x',z), x25 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 96 => ('+(z',+(+(y',z),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 97 => ('+(z',+(x',+(z,y')))', D3, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 98 => ('+(+(z',y'),+(z,x'))', D3, R6, P[], S{x23 -> z', x24 -> y', x25 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 99 => ('+(y',+(+(z,x'),z'))', D3, R8, P[], S{x29 -> y', x30 -> +(z,x'), x31 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 100 => ('+(+(z',x'),+(z,y'))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 101 => ('+(y',+(+(z,z'),x'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> x'}), NR: '+(+(z,z'),x')'
ID: 102 => ('+(+(x',z'),+(z,y'))', D3, R7, P[], S{x26 -> +(x',z'), x27 -> z, x28 -> y'}), NR: '+(+(x',z'),+(z,y'))'
ID: 103 => ('+(z,+(+(x',z'),y'))', D3, R8, P[], S{x29 -> z, x30 -> +(x',z'), x31 -> y'}), NR: '+(z,+(+(x',z'),y'))'
ID: 104 => ('+(+(+(y',z),x'),z')', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 105 => ('+(y',+(z,+(x',z')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 106 => ('+(+(x',+(z,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 107 => ('+(+(+(y',x'),z),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 108 => ('+(+(y',+(z,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> x'}), NR: '+(y',+(z,x'))'
ID: 109 => ('+(+(+(z',x'),z),y')', D3, R6, P[], S{x23 -> +(z',x'), x24 -> z, x25 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 110 => ('+(z,+(y',+(z',x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(z',x')}), NR: '+(z,+(y',+(z',x')))'
ID: 111 => ('+(+(y',z),+(z',x'))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(z',x')}), NR: '+(+(y',z),+(z',x'))'
ID: 112 => ('+(+(y',+(z,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z,z'), x16 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 113 => ('+(+(y',x'),+(z,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z,z')}), NR: '+(+(y',x'),+(z,z'))'
ID: 114 => ('+(+(x',+(z,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z,z'), x16 -> y'}), NR: '+(+(x',+(z,z')),y')'
ID: 115 => ('+(+(+(z',y'),z),x')', D3, R6, P[], S{x23 -> +(z',y'), x24 -> z, x25 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 116 => ('+(z,+(x',+(z',y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 117 => ('+(+(x',z),+(z',y'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(z',y')}), NR: '+(+(x',z),+(z',y'))'
ID: 118 => ('+(z,+(z',+(y',x')))', D4, R2, P[], S{x11 -> z, x12 -> z', x13 -> +(y',x')}), NR: '+(z,+(z',+(y',x')))'
ID: 119 => ('+(z,+(+(y',x'),z'))', D4, R4, P[2], S{x17 -> y', x18 -> x', x19 -> z'}), NR: '+(+(y',x'),z')'
t: +(x',+(+(z',y'),z))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x',+(+(z',y'),z))', D0)
ID: 1 => ('+(x',+(z',+(y',z)))', D1, R1, P[2], S{x8 -> z', x9 -> y', x10 -> z}), NR: '+(z',+(y',z))'
ID: 2 => ('+(x',+(y',+(z',z)))', D1, R2, P[2], S{x11 -> y', x12 -> z', x13 -> z}), NR: '+(y',+(z',z))'
ID: 3 => ('+(x',+(+(z,z'),y'))', D1, R3, P[2], S{x14 -> z, x15 -> z', x16 -> y'}), NR: '+(+(z,z'),y')'
ID: 4 => ('+(x',+(+(z,y'),z'))', D1, R4, P[2], S{x17 -> z, x18 -> y', x19 -> z'}), NR: '+(+(z,y'),z')'
ID: 5 => ('+(+(x',+(z',y')),z)', D1, R5, P[], S{x20 -> x', x21 -> +(z',y'), x22 -> z}), NR: '+(+(x',+(z',y')),z)'
ID: 6 => ('+(+(x',z),+(z',y'))', D1, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(z',y')}), NR: '+(+(x',z),+(z',y'))'
ID: 7 => ('+(+(z',y'),+(z,x'))', D1, R7, P[], S{x26 -> +(z',y'), x27 -> z, x28 -> x'}), NR: '+(+(z',y'),+(z,x'))'
ID: 8 => ('+(z,+(+(z',y'),x'))', D1, R8, P[], S{x29 -> z, x30 -> +(z',y'), x31 -> x'}), NR: '+(z,+(+(z',y'),x'))'
ID: 9 => ('+(+(x',z'),+(y',z))', D2, R5, P[], S{x20 -> x', x21 -> z', x22 -> +(y',z)}), NR: '+(+(x',z'),+(y',z))'
ID: 10 => ('+(+(x',+(y',z)),z')', D2, R6, P[], S{x23 -> x', x24 -> +(y',z), x25 -> z'}), NR: '+(+(x',+(y',z)),z')'
ID: 11 => ('+(x',+(+(z',z),y'))', D2, R6, P[2], S{x23 -> z', x24 -> z, x25 -> y'}), NR: '+(+(z',z),y')'
ID: 12 => ('+(z',+(+(y',z),x'))', D2, R7, P[], S{x26 -> z', x27 -> +(y',z), x28 -> x'}), NR: '+(z',+(+(y',z),x'))'
ID: 13 => ('+(x',+(y',+(z,z')))', D2, R7, P[2], S{x26 -> y', x27 -> z, x28 -> z'}), NR: '+(y',+(z,z'))'
ID: 14 => ('+(+(y',z),+(z',x'))', D2, R8, P[], S{x29 -> +(y',z), x30 -> z', x31 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 15 => ('+(x',+(z,+(y',z')))', D2, R8, P[2], S{x29 -> z, x30 -> y', x31 -> z'}), NR: '+(z,+(y',z'))'
ID: 16 => ('+(+(x',y'),+(z',z))', D2, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(z',z)}), NR: '+(+(x',y'),+(z',z))'
ID: 17 => ('+(x',+(+(y',z'),z))', D2, R5, P[2], S{x20 -> y', x21 -> z', x22 -> z}), NR: '+(+(y',z'),z)'
ID: 18 => ('+(+(x',+(z',z)),y')', D2, R6, P[], S{x23 -> x', x24 -> +(z',z), x25 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 19 => ('+(x',+(+(y',z),z'))', D2, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 20 => ('+(y',+(+(z',z),x'))', D2, R7, P[], S{x26 -> y', x27 -> +(z',z), x28 -> x'}), NR: '+(y',+(+(z',z),x'))'
ID: 21 => ('+(x',+(z',+(z,y')))', D2, R7, P[2], S{x26 -> z', x27 -> z, x28 -> y'}), NR: '+(z',+(z,y'))'
ID: 22 => ('+(+(z',z),+(y',x'))', D2, R8, P[], S{x29 -> +(z',z), x30 -> y', x31 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 23 => ('+(x',+(z,+(z',y')))', D2, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 24 => ('+(+(x',+(z,z')),y')', D2, R5, P[], S{x20 -> x', x21 -> +(z,z'), x22 -> y'}), NR: '+(+(x',+(z,z')),y')'
ID: 25 => ('+(+(x',y'),+(z,z'))', D2, R6, P[], S{x23 -> x', x24 -> y', x25 -> +(z,z')}), NR: '+(+(x',y'),+(z,z'))'
ID: 26 => ('+(+(z,z'),+(y',x'))', D2, R7, P[], S{x26 -> +(z,z'), x27 -> y', x28 -> x'}), NR: '+(+(z,z'),+(y',x'))'
ID: 27 => ('+(y',+(+(z,z'),x'))', D2, R8, P[], S{x29 -> y', x30 -> +(z,z'), x31 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 28 => ('+(+(x',+(z,y')),z')', D2, R5, P[], S{x20 -> x', x21 -> +(z,y'), x22 -> z'}), NR: '+(+(x',+(z,y')),z')'
ID: 29 => ('+(+(x',z'),+(z,y'))', D2, R6, P[], S{x23 -> x', x24 -> z', x25 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 30 => ('+(+(z,y'),+(z',x'))', D2, R7, P[], S{x26 -> +(z,y'), x27 -> z', x28 -> x'}), NR: '+(+(z,y'),+(z',x'))'
ID: 31 => ('+(z',+(+(z,y'),x'))', D2, R8, P[], S{x29 -> z', x30 -> +(z,y'), x31 -> x'}), NR: '+(z',+(+(z,y'),x'))'
ID: 32 => ('+(+(z',y'),+(x',z))', D2, R2, P[], S{x11 -> +(z',y'), x12 -> x', x13 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 33 => ('+(+(z,x'),+(z',y'))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(z',y')}), NR: '+(+(z,x'),+(z',y'))'
ID: 34 => ('+(+(z,+(z',y')),x')', D2, R4, P[], S{x17 -> z, x18 -> +(z',y'), x19 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 35 => ('+(+(+(x',z'),y'),z)', D2, R5, P[1], S{x20 -> x', x21 -> z', x22 -> y'}), NR: '+(+(x',z'),y')'
ID: 36 => ('+(+(+(x',y'),z'),z)', D2, R6, P[1], S{x23 -> x', x24 -> y', x25 -> z'}), NR: '+(+(x',y'),z')'
ID: 37 => ('+(+(z',+(y',x')),z)', D2, R7, P[1], S{x26 -> z', x27 -> y', x28 -> x'}), NR: '+(z',+(y',x'))'
ID: 38 => ('+(+(y',+(z',x')),z)', D2, R8, P[1], S{x29 -> y', x30 -> z', x31 -> x'}), NR: '+(y',+(z',x'))'
ID: 39 => ('+(z,+(x',+(z',y')))', D2, R2, P[], S{x11 -> z, x12 -> x', x13 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 40 => ('+(+(+(z',y'),x'),z)', D2, R3, P[], S{x14 -> +(z',y'), x15 -> x', x16 -> z}), NR: '+(+(+(z',y'),x'),z)'
ID: 41 => ('+(+(+(z',y'),z),x')', D2, R4, P[], S{x17 -> +(z',y'), x18 -> z, x19 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 42 => ('+(+(+(x',z),z'),y')', D2, R5, P[], S{x20 -> +(x',z), x21 -> z', x22 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 43 => ('+(+(+(x',z),y'),z')', D2, R6, P[], S{x23 -> +(x',z), x24 -> y', x25 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 44 => ('+(z',+(y',+(x',z)))', D2, R7, P[], S{x26 -> z', x27 -> y', x28 -> +(x',z)}), NR: '+(z',+(y',+(x',z)))'
ID: 45 => ('+(y',+(z',+(x',z)))', D2, R8, P[], S{x29 -> y', x30 -> z', x31 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 46 => ('+(z',+(y',+(z,x')))', D2, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 47 => ('+(y',+(z',+(z,x')))', D2, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 48 => ('+(+(+(z,x'),z'),y')', D2, R3, P[], S{x14 -> +(z,x'), x15 -> z', x16 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 49 => ('+(+(+(z,x'),y'),z')', D2, R4, P[], S{x17 -> +(z,x'), x18 -> y', x19 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 50 => ('+(z,+(z',+(y',x')))', D2, R1, P[2], S{x8 -> z', x9 -> y', x10 -> x'}), NR: '+(z',+(y',x'))'
ID: 51 => ('+(z,+(y',+(z',x')))', D2, R2, P[2], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 52 => ('+(z,+(+(x',z'),y'))', D2, R3, P[2], S{x14 -> x', x15 -> z', x16 -> y'}), NR: '+(+(x',z'),y')'
ID: 53 => ('+(z,+(+(x',y'),z'))', D2, R4, P[2], S{x17 -> x', x18 -> y', x19 -> z'}), NR: '+(+(x',y'),z')'
ID: 54 => ('+(z',+(x',+(y',z)))', D3, R2, P[], S{x11 -> z', x12 -> x', x13 -> +(y',z)}), NR: '+(z',+(x',+(y',z)))'
ID: 55 => ('+(+(+(y',z),x'),z')', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 56 => ('+(+(+(y',z),z'),x')', D3, R4, P[], S{x17 -> +(y',z), x18 -> z', x19 -> x'}), NR: '+(+(+(y',z),z'),x')'
ID: 57 => ('+(+(+(x',z'),z),y')', D3, R6, P[], S{x23 -> +(x',z'), x24 -> z, x25 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 58 => ('+(y',+(z,+(x',z')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 59 => ('+(z,+(y',+(x',z')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(x',z')}), NR: '+(z,+(y',+(x',z')))'
ID: 60 => ('+(+(y',z),+(x',z'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> x', x13 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 61 => ('+(+(z',x'),+(y',z))', D3, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(y',z)}), NR: '+(+(z',x'),+(y',z))'
ID: 62 => ('+(+(z',+(y',z)),x')', D3, R4, P[], S{x17 -> z', x18 -> +(y',z), x19 -> x'}), NR: '+(+(z',+(y',z)),x')'
ID: 63 => ('+(+(+(x',y'),z),z')', D3, R5, P[1], S{x20 -> x', x21 -> y', x22 -> z}), NR: '+(+(x',y'),z)'
ID: 64 => ('+(+(y',+(z,x')),z')', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 65 => ('+(+(z,+(y',x')),z')', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 66 => ('+(z',+(z,+(y',x')))', D3, R2, P[2], S{x11 -> z, x12 -> y', x13 -> x'}), NR: '+(z,+(y',x'))'
ID: 67 => ('+(z',+(+(x',y'),z))', D3, R3, P[2], S{x14 -> x', x15 -> y', x16 -> z}), NR: '+(+(x',y'),z)'
ID: 68 => ('+(z',+(+(x',z),y'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> y'}), NR: '+(+(x',z),y')'
ID: 69 => ('+(y',+(z,+(z',x')))', D3, R1, P[], S{x8 -> y', x9 -> z, x10 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 70 => ('+(+(+(z',x'),y'),z)', D3, R3, P[], S{x14 -> +(z',x'), x15 -> y', x16 -> z}), NR: '+(+(+(z',x'),y'),z)'
ID: 71 => ('+(+(+(z',x'),z),y')', D3, R4, P[], S{x17 -> +(z',x'), x18 -> z, x19 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 72 => ('+(+(x',z),+(y',z'))', D3, R5, P[], S{x20 -> x', x21 -> z, x22 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 73 => ('+(+(x',+(y',z')),z)', D3, R6, P[], S{x23 -> x', x24 -> +(y',z'), x25 -> z}), NR: '+(+(x',+(y',z')),z)'
ID: 74 => ('+(z,+(+(y',z'),x'))', D3, R7, P[], S{x26 -> z, x27 -> +(y',z'), x28 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 75 => ('+(+(y',z'),+(z,x'))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> z, x31 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 76 => ('+(y',+(x',+(z',z)))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 77 => ('+(+(+(z',z),x'),y')', D3, R3, P[], S{x14 -> +(z',z), x15 -> x', x16 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 78 => ('+(+(+(z',z),y'),x')', D3, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 79 => ('+(z',+(z,+(x',y')))', D3, R7, P[], S{x26 -> z', x27 -> z, x28 -> +(x',y')}), NR: '+(z',+(z,+(x',y')))'
ID: 80 => ('+(z,+(z',+(x',y')))', D3, R8, P[], S{x29 -> z, x30 -> z', x31 -> +(x',y')}), NR: '+(z,+(z',+(x',y')))'
ID: 81 => ('+(+(z',z),+(x',y'))', D3, R2, P[], S{x11 -> +(z',z), x12 -> x', x13 -> y'}), NR: '+(+(z',z),+(x',y'))'
ID: 82 => ('+(+(y',x'),+(z',z))', D3, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 83 => ('+(+(y',+(z',z)),x')', D3, R4, P[], S{x17 -> y', x18 -> +(z',z), x19 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 84 => ('+(+(z',+(z,x')),y')', D3, R7, P[1], S{x26 -> z', x27 -> z, x28 -> x'}), NR: '+(z',+(z,x'))'
ID: 85 => ('+(+(z,+(z',x')),y')', D3, R8, P[1], S{x29 -> z, x30 -> z', x31 -> x'}), NR: '+(z,+(z',x'))'
ID: 86 => ('+(y',+(+(x',z'),z))', D3, R3, P[2], S{x14 -> x', x15 -> z', x16 -> z}), NR: '+(+(x',z'),z)'
ID: 87 => ('+(y',+(+(x',z),z'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> z'}), NR: '+(+(x',z),z')'
ID: 88 => ('+(+(+(y',x'),z'),z)', D3, R3, P[], S{x14 -> +(y',x'), x15 -> z', x16 -> z}), NR: '+(+(+(y',x'),z'),z)'
ID: 89 => ('+(+(+(y',x'),z),z')', D3, R4, P[], S{x17 -> +(y',x'), x18 -> z, x19 -> z'}), NR: '+(+(+(y',x'),z),z')'
ID: 90 => ('+(+(z,z'),+(x',y'))', D3, R2, P[], S{x11 -> +(z,z'), x12 -> x', x13 -> y'}), NR: '+(+(z,z'),+(x',y'))'
ID: 91 => ('+(+(y',x'),+(z,z'))', D3, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z,z')}), NR: '+(+(y',x'),+(z,z'))'
ID: 92 => ('+(+(y',+(z,z')),x')', D3, R4, P[], S{x17 -> y', x18 -> +(z,z'), x19 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 93 => ('+(y',+(x',+(z,z')))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 94 => ('+(+(+(z,z'),x'),y')', D3, R3, P[], S{x14 -> +(z,z'), x15 -> x', x16 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 95 => ('+(+(+(z,z'),y'),x')', D3, R4, P[], S{x17 -> +(z,z'), x18 -> y', x19 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 96 => ('+(+(z,y'),+(x',z'))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> x', x13 -> z'}), NR: '+(+(z,y'),+(x',z'))'
ID: 97 => ('+(+(z',x'),+(z,y'))', D3, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 98 => ('+(+(z',+(z,y')),x')', D3, R4, P[], S{x17 -> z', x18 -> +(z,y'), x19 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 99 => ('+(z',+(x',+(z,y')))', D3, R2, P[], S{x11 -> z', x12 -> x', x13 -> +(z,y')}), NR: '+(z',+(x',+(z,y')))'
ID: 100 => ('+(+(+(z,y'),x'),z')', D3, R3, P[], S{x14 -> +(z,y'), x15 -> x', x16 -> z'}), NR: '+(+(+(z,y'),x'),z')'
ID: 101 => ('+(+(+(z,y'),z'),x')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> z', x19 -> x'}), NR: '+(+(+(z,y'),z'),x')'
ID: 102 => ('+(+(z',+(x',y')),z)', D3, R2, P[1], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 103 => ('+(+(z,+(x',z')),y')', D3, R3, P[], S{x14 -> z, x15 -> +(x',z'), x16 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 104 => ('+(+(+(y',z'),x'),z)', D3, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x'}), NR: '+(+(y',z'),x')'
ID: 105 => ('+(+(y',+(x',z')),z)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 106 => ('+(+(z,+(x',y')),z')', D3, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 107 => ('+(z',+(+(y',x'),z))', D3, R1, P[], S{x8 -> z', x9 -> +(y',x'), x10 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 108 => ('+(y',+(+(z',x'),z))', D3, R1, P[], S{x8 -> y', x9 -> +(z',x'), x10 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 109 => ('+(+(y',+(x',z)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x',z), x16 -> z'}), NR: '+(+(y',+(x',z)),z')'
ID: 110 => ('+(+(y',z'),+(x',z))', D3, R4, P[], S{x17 -> y', x18 -> z', x19 -> +(x',z)}), NR: '+(+(y',z'),+(x',z))'
ID: 111 => ('+(+(z',+(x',z)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x',z), x16 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 112 => ('+(y',+(+(z,x'),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(z,x'), x28 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 113 => ('+(+(z,x'),+(y',z'))', D3, R8, P[], S{x29 -> +(z,x'), x30 -> y', x31 -> z'}), NR: '+(+(z,x'),+(y',z'))'
ID: 114 => ('+(z',+(+(z,x'),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(z,x'), x28 -> y'}), NR: '+(z',+(+(z,x'),y'))'
ID: 115 => ('+(z,+(+(z',x'),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 116 => ('+(z,+(x',+(y',z')))', D3, R8, P[2], S{x29 -> x', x30 -> y', x31 -> z'}), NR: '+(x',+(y',z'))'
ID: 117 => ('+(z,+(+(y',x'),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 118 => ('+(+(z,+(y',z')),x')', D4, R2, P[1], S{x11 -> z, x12 -> y', x13 -> z'}), NR: '+(z,+(y',z'))'
ID: 119 => ('+(+(+(y',z'),z),x')', D4, R4, P[], S{x17 -> +(y',z'), x18 -> z, x19 -> x'}), NR: '+(+(+(y',z'),z),x')'
SNodesPath1: +(+(+(x',y'),z'),z)
TNodesPath1: +(x',+(+(z',y'),z)) -> +(x',+(z',+(y',z))) -> +(+(x',z'),+(y',z)) -> +(+(+(x',z'),y'),z) -> +(+(x',+(z',y')),z) -> +(+(z',y'),+(x',z)) -> +(x',+(z,+(z',y'))) -> +(x',+(y',+(z',z))) -> +(+(x',y'),+(z',z)) -> +(+(+(x',y'),z'),z)
SNodesPath2: +(+(+(x',y'),z'),z) -> +(+(x',y'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(x',+(+(y',z'),z)) -> +(+(x',+(y',z')),z) -> +(+(y',z'),+(x',z)) -> +(z',+(y',+(x',z))) -> +(z',+(z,+(x',y'))) -> +(z',+(x',+(y',z))) -> +(z',+(+(x',y'),z)) -> +(z',+(+(z,x'),y')) -> +(+(z,x'),+(y',z')) -> +(+(+(y',z'),x'),z) -> +(+(z,+(y',z')),x') -> +(+(+(z,z'),y'),x') -> +(+(x',y'),+(z,z')) -> +(+(+(x',y'),z),z') -> +(+(z',+(x',y')),z) -> +(+(y',+(x',z')),z) -> +(y',+(+(x',z'),z)) -> +(y',+(x',+(z',z))) -> +(+(z',z),+(x',y')) -> +(+(+(z',z),x'),y') -> +(+(z,+(z',x')),y') -> +(+(y',+(z',x')),z) -> +(+(+(y',x'),z'),z) -> +(+(+(z',x'),y'),z) -> +(+(x',+(z',y')),z) -> +(+(+(x',z'),y'),z) -> +(+(x',z'),+(y',z)) -> +(+(+(x',z'),z),y') -> +(+(+(z,z'),x'),y') -> +(+(z,z'),+(x',y')) -> +(z,+(z',+(x',y'))) -> +(+(z,+(x',y')),z') -> +(z,+(+(x',y'),z')) -> +(z,+(+(z',x'),y')) -> +(+(z',x'),+(y',z)) -> +(y',+(z,+(z',x'))) -> +(y',+(z',+(x',z))) -> +(+(y',+(x',z)),z') -> +(+(z',y'),+(x',z)) -> +(+(+(z',y'),x'),z) -> +(+(z',+(y',x')),z) -> +(+(y',x'),+(z',z)) -> +(+(+(z',z),y'),x') -> +(+(z,+(z',y')),x') -> +(+(y',+(z',z)),x') -> +(+(x',+(z',z)),y') -> +(x',+(+(z',z),y')) -> +(x',+(+(y',z),z')) -> +(+(x',+(y',z)),z') -> +(+(+(x',z),y'),z') -> +(y',+(+(x',z),z')) -> +(y',+(+(z',x'),z)) -> +(y',+(+(z,x'),z')) -> +(y',+(x',+(z,z'))) -> +(y',+(z',+(z,x'))) -> +(+(z,x'),+(z',y')) -> +(+(+(z,x'),y'),z') -> +(+(z',+(z,x')),y') -> +(+(z,+(x',z')),y') -> +(+(+(z,x'),z'),y') -> +(+(y',z'),+(z,x')) -> +(+(+(y',z'),z),x') -> +(+(x',z),+(y',z')) -> +(+(+(x',z),z'),y') -> +(z',+(+(x',z),y')) -> +(z',+(+(y',x'),z)) -> +(z',+(+(z,y'),x')) -> +(+(z,y'),+(x',z')) -> +(+(+(z,y'),x'),z') -> +(+(z',+(z,y')),x') -> +(+(z,y'),+(z',x')) -> +(x',+(z',+(z,y'))) -> +(x',+(y',+(z,z'))) -> +(x',+(z,+(z',y'))) -> +(z,+(+(z',y'),x')) -> +(x',+(+(z',y'),z))
TNodesPath2: +(x',+(+(z',y'),z))
+(+(+(x',y'),z'),z) ->= +(+(+(x',y'),z'),z) *<- +(x',+(+(z',y'),z))
+(x',+(+(z',y'),z)) ->= +(x',+(+(z',y'),z)) *<- +(+(+(x',y'),z'),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.8: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x,y),y'),z'),+(x,+(y,+(y',z')))>   =>  Not trivial, Overlay, Proper, NW0, N34
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x,y),y'),z')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79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ID: 0 => ('+(+(+(x,y),y'),z')', D0)
ID: 1 => ('+(+(x,y),+(y',z'))', D1, R1, P[], S{x8 -> +(x,y), x9 -> y', x10 -> z'}), NR: '+(+(x,y),+(y',z'))'
ID: 2 => ('+(+(x,+(y,y')),z')', D1, R1, P[1], S{x8 -> x, x9 -> y, x10 -> y'}), NR: '+(x,+(y,y'))'
ID: 3 => ('+(y',+(+(x,y),z'))', D1, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 4 => ('+(+(y,+(x,y')),z')', D1, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 5 => ('+(+(z',+(x,y)),y')', D1, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 6 => ('+(+(+(y',x),y),z')', D1, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 7 => ('+(+(z',y'),+(x,y))', D1, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 8 => ('+(+(+(y',y),x),z')', D1, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 9 => ('+(x,+(y,+(y',z')))', D2, R1, P[], S{x8 -> x, x9 -> y, x10 -> +(y',z')}), NR: '+(x,+(y,+(y',z')))'
ID: 10 => ('+(y,+(x,+(y',z')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 11 => ('+(+(+(y',z'),x),y)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 12 => ('+(+(+(y',z'),y),x)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> y, x19 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 13 => ('+(+(+(x,y),z'),y')', D2, R6, P[], S{x23 -> +(x,y), x24 -> z', x25 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 14 => ('+(y',+(z',+(x,y)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 15 => ('+(z',+(y',+(x,y)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 16 => ('+(x,+(+(y,y'),z'))', D2, R1, P[], S{x8 -> x, x9 -> +(y,y'), x10 -> z'}), NR: '+(x,+(+(y,y'),z'))'
ID: 17 => ('+(+(y,y'),+(x,z'))', D2, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 18 => ('+(+(z',x),+(y,y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 19 => ('+(+(z',+(y,y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 20 => ('+(+(+(x,y'),y),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 21 => ('+(+(y,+(y',x)),z')', D2, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 22 => ('+(+(y',+(y,x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 23 => ('+(y',+(x,+(y,z')))', D2, R1, P[2], S{x8 -> x, x9 -> y, x10 -> z'}), NR: '+(x,+(y,z'))'
ID: 24 => ('+(y',+(y,+(x,z')))', D2, R2, P[2], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 25 => ('+(y',+(+(z',x),y))', D2, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 26 => ('+(y',+(+(z',y),x))', D2, R4, P[2], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 27 => ('+(+(y',+(x,y)),z')', D2, R5, P[], S{x20 -> y', x21 -> +(x,y), x22 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 28 => ('+(+(y',z'),+(x,y))', D2, R6, P[], S{x23 -> y', x24 -> z', x25 -> +(x,y)}), NR: '+(+(y',z'),+(x,y))'
ID: 29 => ('+(+(x,y),+(z',y'))', D2, R7, P[], S{x26 -> +(x,y), x27 -> z', x28 -> y'}), NR: '+(+(x,y),+(z',y'))'
ID: 30 => ('+(z',+(+(x,y),y'))', D2, R8, P[], S{x29 -> z', x30 -> +(x,y), x31 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 31 => ('+(y,+(+(x,y'),z'))', D2, R1, P[], S{x8 -> y, x9 -> +(x,y'), x10 -> z'}), NR: '+(y,+(+(x,y'),z'))'
ID: 32 => ('+(+(x,y'),+(y,z'))', D2, R2, P[], S{x11 -> +(x,y'), x12 -> y, x13 -> z'}), NR: '+(+(x,y'),+(y,z'))'
ID: 33 => ('+(+(z',y),+(x,y'))', D2, R3, P[], S{x14 -> z', x15 -> y, x16 -> +(x,y')}), NR: '+(+(z',y),+(x,y'))'
ID: 34 => ('+(+(z',+(x,y')),y)', D2, R4, P[], S{x17 -> z', x18 -> +(x,y'), x19 -> y}), NR: '+(+(z',+(x,y')),y)'
ID: 35 => ('+(+(+(y,x),y'),z')', D2, R5, P[1], S{x20 -> y, x21 -> x, x22 -> y'}), NR: '+(+(y,x),y')'
ID: 36 => ('+(+(+(y,y'),x),z')', D2, R6, P[1], S{x23 -> y, x24 -> y', x25 -> x}), NR: '+(+(y,y'),x)'
ID: 37 => ('+(+(x,+(y',y)),z')', D2, R7, P[1], S{x26 -> x, x27 -> y', x28 -> y}), NR: '+(x,+(y',y))'
ID: 38 => ('+(+(+(z',x),y),y')', D2, R5, P[1], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 39 => ('+(+(+(z',y),x),y')', D2, R6, P[1], S{x23 -> z', x24 -> y, x25 -> x}), NR: '+(+(z',y),x)'
ID: 40 => ('+(+(x,+(y,z')),y')', D2, R7, P[1], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 41 => ('+(+(y,+(x,z')),y')', D2, R8, P[1], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 42 => ('+(+(y',x),+(y,z'))', D2, R1, P[], S{x8 -> +(y',x), x9 -> y, x10 -> z'}), NR: '+(+(y',x),+(y,z'))'
ID: 43 => ('+(y,+(+(y',x),z'))', D2, R2, P[], S{x11 -> y, x12 -> +(y',x), x13 -> z'}), NR: '+(y,+(+(y',x),z'))'
ID: 44 => ('+(+(z',+(y',x)),y)', D2, R3, P[], S{x14 -> z', x15 -> +(y',x), x16 -> y}), NR: '+(+(z',+(y',x)),y)'
ID: 45 => ('+(+(z',y),+(y',x))', D2, R4, P[], S{x17 -> z', x18 -> y, x19 -> +(y',x)}), NR: '+(+(z',y),+(y',x))'
ID: 46 => ('+(+(+(z',y'),x),y)', D2, R5, P[], S{x20 -> +(z',y'), x21 -> x, x22 -> y}), NR: '+(+(+(z',y'),x),y)'
ID: 47 => ('+(+(+(z',y'),y),x)', D2, R6, P[], S{x23 -> +(z',y'), x24 -> y, x25 -> x}), NR: '+(+(+(z',y'),y),x)'
ID: 48 => ('+(x,+(y,+(z',y')))', D2, R7, P[], S{x26 -> x, x27 -> y, x28 -> +(z',y')}), NR: '+(x,+(y,+(z',y')))'
ID: 49 => ('+(y,+(x,+(z',y')))', D2, R8, P[], S{x29 -> y, x30 -> x, x31 -> +(z',y')}), NR: '+(y,+(x,+(z',y')))'
ID: 50 => ('+(+(y',y),+(x,z'))', D2, R1, P[], S{x8 -> +(y',y), x9 -> x, x10 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 51 => ('+(x,+(+(y',y),z'))', D2, R2, P[], S{x11 -> x, x12 -> +(y',y), x13 -> z'}), NR: '+(x,+(+(y',y),z'))'
ID: 52 => ('+(+(z',+(y',y)),x)', D2, R3, P[], S{x14 -> z', x15 -> +(y',y), x16 -> x}), NR: '+(+(z',+(y',y)),x)'
ID: 53 => ('+(+(z',x),+(y',y))', D2, R4, P[], S{x17 -> z', x18 -> x, x19 -> +(y',y)}), NR: '+(+(z',x),+(y',y))'
ID: 54 => ('+(+(x,+(y',z')),y)', D3, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 55 => ('+(x,+(+(y,z'),y'))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 56 => ('+(y,+(+(y',z'),x))', D3, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 57 => ('+(x,+(y',+(z',y)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 58 => ('+(+(y',z'),+(y,x))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> y, x31 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 59 => ('+(x,+(z',+(y',y)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 60 => ('+(+(y,x),+(y',z'))', D3, R5, P[], S{x20 -> y, x21 -> x, x22 -> +(y',z')}), NR: '+(+(y,x),+(y',z'))'
ID: 61 => ('+(+(y,+(y',z')),x)', D3, R6, P[], S{x23 -> y, x24 -> +(y',z'), x25 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 62 => ('+(y,+(+(x,z'),y'))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 63 => ('+(x,+(+(y',z'),y))', D3, R7, P[], S{x26 -> x, x27 -> +(y',z'), x28 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 64 => ('+(y,+(y',+(z',x)))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 65 => ('+(y,+(z',+(y',x)))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 66 => ('+(+(y',+(z',x)),y)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 67 => ('+(+(+(x,y'),z'),y)', D3, R3, P[1], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 68 => ('+(+(+(x,z'),y'),y)', D3, R4, P[1], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 69 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 70 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 71 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 72 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 73 => ('+(z',+(+(y',y),x))', D3, R6, P[2], S{x23 -> y', x24 -> y, x25 -> x}), NR: '+(+(y',y),x)'
ID: 74 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 75 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 76 => ('+(x,+(y',+(y,z')))', D3, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 77 => ('+(x,+(+(z',y),y'))', D3, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 78 => ('+(x,+(+(z',y'),y))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 79 => ('+(+(x,z'),+(y,y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 80 => ('+(+(y,y'),+(z',x))', D3, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 81 => ('+(z',+(+(y,y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 82 => ('+(y,+(y',+(x,z')))', D3, R1, P[], S{x8 -> y, x9 -> y', x10 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 83 => ('+(+(+(x,z'),y),y')', D3, R3, P[], S{x14 -> +(x,z'), x15 -> y, x16 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 84 => ('+(x,+(z',+(y,y')))', D3, R7, P[], S{x26 -> x, x27 -> z', x28 -> +(y,y')}), NR: '+(x,+(z',+(y,y')))'
ID: 85 => ('+(+(+(z',x),y'),y)', D3, R6, P[], S{x23 -> +(z',x), x24 -> y', x25 -> y}), NR: '+(+(+(z',x),y'),y)'
ID: 86 => ('+(y',+(y,+(z',x)))', D3, R8, P[], S{x29 -> y', x30 -> y, x31 -> +(z',x)}), NR: '+(y',+(y,+(z',x)))'
ID: 87 => ('+(+(+(z',y),y'),x)', D3, R5, P[1], S{x20 -> z', x21 -> y, x22 -> y'}), NR: '+(+(z',y),y')'
ID: 88 => ('+(+(y',+(y,z')),x)', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> z'}), NR: '+(y',+(y,z'))'
ID: 89 => ('+(y',+(+(y,x),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(y,x), x10 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 90 => ('+(+(z',y'),+(y,x))', D3, R3, P[], S{x14 -> z', x15 -> y', x16 -> +(y,x)}), NR: '+(+(z',y'),+(y,x))'
ID: 91 => ('+(+(z',+(y,x)),y')', D3, R4, P[], S{x17 -> z', x18 -> +(y,x), x19 -> y'}), NR: '+(+(z',+(y,x)),y')'
ID: 92 => ('+(y',+(+(x,z'),y))', D3, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y}), NR: '+(+(x,z'),y)'
ID: 93 => ('+(+(y,z'),+(x,y'))', D3, R8, P[], S{x29 -> +(y,z'), x30 -> x, x31 -> y'}), NR: '+(+(y,z'),+(x,y'))'
ID: 94 => ('+(y',+(z',+(y,x)))', D3, R8, P[2], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 95 => ('+(+(y',+(x,z')),y)', D3, R6, P[], S{x23 -> y', x24 -> +(x,z'), x25 -> y}), NR: '+(+(y',+(x,z')),y)'
ID: 96 => ('+(y',+(+(y,z'),x))', D3, R6, P[2], S{x23 -> y, x24 -> z', x25 -> x}), NR: '+(+(y,z'),x)'
ID: 97 => ('+(y',+(x,+(z',y)))', D3, R7, P[2], S{x26 -> x, x27 -> z', x28 -> y}), NR: '+(x,+(z',y))'
ID: 98 => ('+(+(y',y),+(z',x))', D3, R6, P[], S{x23 -> y', x24 -> y, x25 -> +(z',x)}), NR: '+(+(y',y),+(z',x))'
ID: 99 => ('+(y,+(+(z',x),y'))', D3, R8, P[], S{x29 -> y, x30 -> +(z',x), x31 -> y'}), NR: '+(y,+(+(z',x),y'))'
ID: 100 => ('+(+(y',x),+(z',y))', D3, R6, P[], S{x23 -> y', x24 -> x, x25 -> +(z',y)}), NR: '+(+(y',x),+(z',y))'
ID: 101 => ('+(y,+(+(z',y'),x))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 102 => ('+(+(x,y'),+(z',y))', D3, R7, P[], S{x26 -> +(x,y'), x27 -> z', x28 -> y}), NR: '+(+(x,y'),+(z',y))'
ID: 103 => ('+(z',+(+(x,y'),y))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> y}), NR: '+(z',+(+(x,y'),y))'
ID: 104 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 105 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 106 => ('+(+(x,+(z',y)),y')', D3, R2, P[1], S{x11 -> x, x12 -> z', x13 -> y}), NR: '+(x,+(z',y))'
ID: 107 => ('+(+(+(y,x),z'),y')', D3, R4, P[1], S{x17 -> y, x18 -> x, x19 -> z'}), NR: '+(+(y,x),z')'
ID: 108 => ('+(+(y,+(z',x)),y')', D3, R2, P[1], S{x11 -> y, x12 -> z', x13 -> x}), NR: '+(y,+(z',x))'
ID: 109 => ('+(+(+(y',x),z'),y)', D3, R6, P[], S{x23 -> +(y',x), x24 -> z', x25 -> y}), NR: '+(+(+(y',x),z'),y)'
ID: 110 => ('+(z',+(y,+(y',x)))', D3, R8, P[], S{x29 -> z', x30 -> y, x31 -> +(y',x)}), NR: '+(z',+(y,+(y',x)))'
ID: 111 => ('+(+(y,z'),+(y',x))', D3, R6, P[], S{x23 -> y, x24 -> z', x25 -> +(y',x)}), NR: '+(+(y,z'),+(y',x))'
ID: 112 => ('+(+(y,+(z',y')),x)', D3, R3, P[], S{x14 -> y, x15 -> +(z',y'), x16 -> x}), NR: '+(+(y,+(z',y')),x)'
ID: 113 => ('+(+(y,x),+(z',y'))', D3, R4, P[], S{x17 -> y, x18 -> x, x19 -> +(z',y')}), NR: '+(+(y,x),+(z',y'))'
ID: 114 => ('+(+(x,+(z',y')),y)', D3, R3, P[], S{x14 -> x, x15 -> +(z',y'), x16 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 115 => ('+(+(+(y',y),z'),x)', D3, R6, P[], S{x23 -> +(y',y), x24 -> z', x25 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 116 => ('+(z',+(x,+(y',y)))', D3, R8, P[], S{x29 -> z', x30 -> x, x31 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 117 => ('+(+(x,z'),+(y',y))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 118 => ('+(z',+(y',+(y,x)))', D4, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 119 => ('+(z',+(+(y,x),y'))', D4, R4, P[2], S{x17 -> y, x18 -> x, x19 -> y'}), NR: '+(+(y,x),y')'
t: +(x,+(y,+(y',z')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x,+(y,+(y',z')))', D0)
ID: 1 => ('+(+(x,y),+(y',z'))', D1, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(y',z')}), NR: '+(+(x,y),+(y',z'))'
ID: 2 => ('+(x,+(+(y,y'),z'))', D1, R5, P[2], S{x20 -> y, x21 -> y', x22 -> z'}), NR: '+(+(y,y'),z')'
ID: 3 => ('+(+(x,+(y',z')),y)', D1, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> y}), NR: '+(+(x,+(y',z')),y)'
ID: 4 => ('+(x,+(+(y,z'),y'))', D1, R6, P[2], S{x23 -> y, x24 -> z', x25 -> y'}), NR: '+(+(y,z'),y')'
ID: 5 => ('+(y,+(+(y',z'),x))', D1, R7, P[], S{x26 -> y, x27 -> +(y',z'), x28 -> x}), NR: '+(y,+(+(y',z'),x))'
ID: 6 => ('+(x,+(y',+(z',y)))', D1, R7, P[2], S{x26 -> y', x27 -> z', x28 -> y}), NR: '+(y',+(z',y))'
ID: 7 => ('+(+(y',z'),+(y,x))', D1, R8, P[], S{x29 -> +(y',z'), x30 -> y, x31 -> x}), NR: '+(+(y',z'),+(y,x))'
ID: 8 => ('+(x,+(z',+(y',y)))', D1, R8, P[2], S{x29 -> z', x30 -> y', x31 -> y}), NR: '+(z',+(y',y))'
ID: 9 => ('+(y,+(x,+(y',z')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(y',z')}), NR: '+(y,+(x,+(y',z')))'
ID: 10 => ('+(+(+(y',z'),x),y)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> y}), NR: '+(+(+(y',z'),x),y)'
ID: 11 => ('+(+(+(y',z'),y),x)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> y, x19 -> x}), NR: '+(+(+(y',z'),y),x)'
ID: 12 => ('+(+(+(x,y),y'),z')', D2, R5, P[], S{x20 -> +(x,y), x21 -> y', x22 -> z'}), NR: '+(+(+(x,y),y'),z')'
ID: 13 => ('+(+(+(x,y),z'),y')', D2, R6, P[], S{x23 -> +(x,y), x24 -> z', x25 -> y'}), NR: '+(+(+(x,y),z'),y')'
ID: 14 => ('+(y',+(z',+(x,y)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,y)}), NR: '+(y',+(z',+(x,y)))'
ID: 15 => ('+(z',+(y',+(x,y)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,y)}), NR: '+(z',+(y',+(x,y)))'
ID: 16 => ('+(x,+(y',+(y,z')))', D2, R2, P[2], S{x11 -> y', x12 -> y, x13 -> z'}), NR: '+(y',+(y,z'))'
ID: 17 => ('+(x,+(+(z',y),y'))', D2, R3, P[2], S{x14 -> z', x15 -> y, x16 -> y'}), NR: '+(+(z',y),y')'
ID: 18 => ('+(x,+(+(z',y'),y))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> y}), NR: '+(+(z',y'),y)'
ID: 19 => ('+(+(x,+(y,y')),z')', D2, R5, P[], S{x20 -> x, x21 -> +(y,y'), x22 -> z'}), NR: '+(+(x,+(y,y')),z')'
ID: 20 => ('+(+(x,z'),+(y,y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(y,y')}), NR: '+(+(x,z'),+(y,y'))'
ID: 21 => ('+(+(y,y'),+(z',x))', D2, R7, P[], S{x26 -> +(y,y'), x27 -> z', x28 -> x}), NR: '+(+(y,y'),+(z',x))'
ID: 22 => ('+(z',+(+(y,y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(y,y'), x31 -> x}), NR: '+(z',+(+(y,y'),x))'
ID: 23 => ('+(x,+(+(y',z'),y))', D2, R1, P[], S{x8 -> x, x9 -> +(y',z'), x10 -> y}), NR: '+(x,+(+(y',z'),y))'
ID: 24 => ('+(+(y',z'),+(x,y))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> y}), NR: '+(+(y',z'),+(x,y))'
ID: 25 => ('+(+(y,x),+(y',z'))', D2, R3, P[], S{x14 -> y, x15 -> x, x16 -> +(y',z')}), NR: '+(+(y,x),+(y',z'))'
ID: 26 => ('+(+(y,+(y',z')),x)', D2, R4, P[], S{x17 -> y, x18 -> +(y',z'), x19 -> x}), NR: '+(+(y,+(y',z')),x)'
ID: 27 => ('+(+(+(x,y'),z'),y)', D2, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 28 => ('+(+(+(x,z'),y'),y)', D2, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 29 => ('+(+(y',+(z',x)),y)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 30 => ('+(+(z',+(y',x)),y)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 31 => ('+(x,+(y,+(z',y')))', D2, R1, P[2], S{x8 -> y, x9 -> z', x10 -> y'}), NR: '+(y,+(z',y'))'
ID: 32 => ('+(x,+(z',+(y,y')))', D2, R2, P[2], S{x11 -> z', x12 -> y, x13 -> y'}), NR: '+(z',+(y,y'))'
ID: 33 => ('+(x,+(+(y',y),z'))', D2, R3, P[2], S{x14 -> y', x15 -> y, x16 -> z'}), NR: '+(+(y',y),z')'
ID: 34 => ('+(+(x,+(y,z')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(y,z'), x22 -> y'}), NR: '+(+(x,+(y,z')),y')'
ID: 35 => ('+(+(x,y'),+(y,z'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(y,z')}), NR: '+(+(x,y'),+(y,z'))'
ID: 36 => ('+(+(y,z'),+(y',x))', D2, R7, P[], S{x26 -> +(y,z'), x27 -> y', x28 -> x}), NR: '+(+(y,z'),+(y',x))'
ID: 37 => ('+(y',+(+(y,z'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(y,z'), x31 -> x}), NR: '+(y',+(+(y,z'),x))'
ID: 38 => ('+(y,+(y',+(z',x)))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 39 => ('+(y,+(z',+(y',x)))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 40 => ('+(y,+(+(x,y'),z'))', D2, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 41 => ('+(y,+(+(x,z'),y'))', D2, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 42 => ('+(+(x,y'),+(z',y))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',y)}), NR: '+(+(x,y'),+(z',y))'
ID: 43 => ('+(+(x,+(z',y)),y')', D2, R6, P[], S{x23 -> x, x24 -> +(z',y), x25 -> y'}), NR: '+(+(x,+(z',y)),y')'
ID: 44 => ('+(y',+(+(z',y),x))', D2, R7, P[], S{x26 -> y', x27 -> +(z',y), x28 -> x}), NR: '+(y',+(+(z',y),x))'
ID: 45 => ('+(+(z',y),+(y',x))', D2, R8, P[], S{x29 -> +(z',y), x30 -> y', x31 -> x}), NR: '+(+(z',y),+(y',x))'
ID: 46 => ('+(y',+(z',+(y,x)))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(y,x)}), NR: '+(y',+(z',+(y,x)))'
ID: 47 => ('+(z',+(y',+(y,x)))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(y,x)}), NR: '+(z',+(y',+(y,x)))'
ID: 48 => ('+(+(+(y,x),y'),z')', D2, R3, P[], S{x14 -> +(y,x), x15 -> y', x16 -> z'}), NR: '+(+(+(y,x),y'),z')'
ID: 49 => ('+(+(+(y,x),z'),y')', D2, R4, P[], S{x17 -> +(y,x), x18 -> z', x19 -> y'}), NR: '+(+(+(y,x),z'),y')'
ID: 50 => ('+(+(x,z'),+(y',y))', D2, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',y)}), NR: '+(+(x,z'),+(y',y))'
ID: 51 => ('+(+(x,+(y',y)),z')', D2, R6, P[], S{x23 -> x, x24 -> +(y',y), x25 -> z'}), NR: '+(+(x,+(y',y)),z')'
ID: 52 => ('+(z',+(+(y',y),x))', D2, R7, P[], S{x26 -> z', x27 -> +(y',y), x28 -> x}), NR: '+(z',+(+(y',y),x))'
ID: 53 => ('+(+(y',y),+(z',x))', D2, R8, P[], S{x29 -> +(y',y), x30 -> z', x31 -> x}), NR: '+(+(y',y),+(z',x))'
ID: 54 => ('+(+(y',+(z',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> y}), NR: '+(y',+(z',y))'
ID: 55 => ('+(+(z',+(y',y)),x)', D3, R2, P[1], S{x11 -> z', x12 -> y', x13 -> y}), NR: '+(z',+(y',y))'
ID: 56 => ('+(+(+(y,y'),z'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> z'}), NR: '+(+(y,y'),z')'
ID: 57 => ('+(+(+(y,z'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> z', x19 -> y'}), NR: '+(+(y,z'),y')'
ID: 58 => ('+(y',+(+(x,y),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> z'}), NR: '+(y',+(+(x,y),z'))'
ID: 59 => ('+(+(y,+(x,y')),z')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 60 => ('+(+(z',+(x,y)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y), x16 -> y'}), NR: '+(+(z',+(x,y)),y')'
ID: 61 => ('+(+(+(y',x),y),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 62 => ('+(+(z',y'),+(x,y))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,y)}), NR: '+(+(z',y'),+(x,y))'
ID: 63 => ('+(+(+(y',y),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 64 => ('+(+(x,y),+(z',y'))', D3, R1, P[], S{x8 -> +(x,y), x9 -> z', x10 -> y'}), NR: '+(+(x,y),+(z',y'))'
ID: 65 => ('+(z',+(+(x,y),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x,y), x13 -> y'}), NR: '+(z',+(+(x,y),y'))'
ID: 66 => ('+(+(y,+(x,z')),y')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> z'}), NR: '+(y,+(x,z'))'
ID: 67 => ('+(+(y',+(x,y)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x,y), x16 -> z'}), NR: '+(+(y',+(x,y)),z')'
ID: 68 => ('+(+(+(z',x),y),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y}), NR: '+(+(z',x),y)'
ID: 69 => ('+(+(+(z',y),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> y, x19 -> x}), NR: '+(+(z',y),x)'
ID: 70 => ('+(y',+(+(z',x),y))', D3, R5, P[2], S{x20 -> z', x21 -> x, x22 -> y}), NR: '+(+(z',x),y)'
ID: 71 => ('+(y',+(x,+(y,z')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> z'}), NR: '+(x,+(y,z'))'
ID: 72 => ('+(y',+(y,+(x,z')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> z'}), NR: '+(y,+(x,z'))'
ID: 73 => ('+(z',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 74 => ('+(z',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 75 => ('+(z',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 76 => ('+(+(x,+(z',y')),y)', D3, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> y}), NR: '+(+(x,+(z',y')),y)'
ID: 77 => ('+(+(z',y'),+(y,x))', D3, R7, P[], S{x26 -> +(z',y'), x27 -> y, x28 -> x}), NR: '+(+(z',y'),+(y,x))'
ID: 78 => ('+(y,+(+(z',y'),x))', D3, R8, P[], S{x29 -> y, x30 -> +(z',y'), x31 -> x}), NR: '+(y,+(+(z',y'),x))'
ID: 79 => ('+(+(y,y'),+(x,z'))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> z'}), NR: '+(+(y,y'),+(x,z'))'
ID: 80 => ('+(+(z',x),+(y,y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(y,y')}), NR: '+(+(z',x),+(y,y'))'
ID: 81 => ('+(+(z',+(y,y')),x)', D3, R4, P[], S{x17 -> z', x18 -> +(y,y'), x19 -> x}), NR: '+(+(z',+(y,y')),x)'
ID: 82 => ('+(+(+(x,y'),y),z')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 83 => ('+(+(y,+(y',x)),z')', D3, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 84 => ('+(+(y',+(y,x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 85 => ('+(+(+(y,y'),x),z')', D3, R3, P[], S{x14 -> +(y,y'), x15 -> x, x16 -> z'}), NR: '+(+(+(y,y'),x),z')'
ID: 86 => ('+(+(+(x,z'),y),y')', D3, R5, P[], S{x20 -> +(x,z'), x21 -> y, x22 -> y'}), NR: '+(+(+(x,z'),y),y')'
ID: 87 => ('+(y,+(y',+(x,z')))', D3, R7, P[], S{x26 -> y, x27 -> y', x28 -> +(x,z')}), NR: '+(y,+(y',+(x,z')))'
ID: 88 => ('+(y',+(y,+(z',x)))', D3, R2, P[], S{x11 -> y', x12 -> y, x13 -> +(z',x)}), NR: '+(y',+(y,+(z',x)))'
ID: 89 => ('+(+(+(z',x),y'),y)', D3, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> y}), NR: '+(+(+(z',x),y'),y)'
ID: 90 => ('+(z',+(y,+(y',x)))', D3, R1, P[2], S{x8 -> y, x9 -> y', x10 -> x}), NR: '+(y,+(y',x))'
ID: 91 => ('+(z',+(+(x,y'),y))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> y}), NR: '+(+(x,y'),y)'
ID: 92 => ('+(+(y',+(x,z')),y)', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 93 => ('+(+(y,z'),+(x,y'))', D3, R4, P[], S{x17 -> y, x18 -> z', x19 -> +(x,y')}), NR: '+(+(y,z'),+(x,y'))'
ID: 94 => ('+(+(+(z',y'),x),y)', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 95 => ('+(y',+(+(x,z'),y))', D3, R2, P[], S{x11 -> y', x12 -> +(x,z'), x13 -> y}), NR: '+(y',+(+(x,z'),y))'
ID: 96 => ('+(+(z',+(x,y')),y)', D3, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 97 => ('+(+(+(y',x),z'),y)', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 98 => ('+(+(z',x),+(y',y))', D3, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> y}), NR: '+(+(z',x),+(y',y))'
ID: 99 => ('+(+(y,+(z',x)),y')', D3, R4, P[], S{x17 -> y, x18 -> +(z',x), x19 -> y'}), NR: '+(+(y,+(z',x)),y')'
ID: 100 => ('+(+(y',x),+(z',y))', D3, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> y}), NR: '+(+(y',x),+(z',y))'
ID: 101 => ('+(+(y',x),+(y,z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(y,z')}), NR: '+(+(y',x),+(y,z'))'
ID: 102 => ('+(+(y',+(y,z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(y,z'), x19 -> x}), NR: '+(+(y',+(y,z')),x)'
ID: 103 => ('+(+(z',+(y,x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> y, x31 -> x}), NR: '+(z',+(y,x))'
ID: 104 => ('+(+(+(y,z'),x),y')', D3, R3, P[], S{x14 -> +(y,z'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,z'),x),y')'
ID: 105 => ('+(y,+(z',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> z', x28 -> +(x,y')}), NR: '+(y,+(z',+(x,y')))'
ID: 106 => ('+(y,+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 107 => ('+(y,+(x,+(z',y')))', D3, R8, P[2], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
ID: 108 => ('+(y,+(+(z',x),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 109 => ('+(y',+(x,+(z',y)))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',y)}), NR: '+(y',+(x,+(z',y)))'
ID: 110 => ('+(+(+(z',y),y'),x)', D3, R4, P[], S{x17 -> +(z',y), x18 -> y', x19 -> x}), NR: '+(+(+(z',y),y'),x)'
ID: 111 => ('+(+(z',y),+(x,y'))', D3, R2, P[], S{x11 -> +(z',y), x12 -> x, x13 -> y'}), NR: '+(+(z',y),+(x,y'))'
ID: 112 => ('+(z',+(+(y,x),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(y,x), x28 -> y'}), NR: '+(z',+(+(y,x),y'))'
ID: 113 => ('+(+(y,x),+(z',y'))', D3, R8, P[], S{x29 -> +(y,x), x30 -> z', x31 -> y'}), NR: '+(+(y,x),+(z',y'))'
ID: 114 => ('+(y',+(+(y,x),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> z'}), NR: '+(y',+(+(y,x),z'))'
ID: 115 => ('+(z',+(x,+(y',y)))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',y)}), NR: '+(z',+(x,+(y',y)))'
ID: 116 => ('+(+(+(y',y),z'),x)', D3, R4, P[], S{x17 -> +(y',y), x18 -> z', x19 -> x}), NR: '+(+(+(y',y),z'),x)'
ID: 117 => ('+(+(y',y),+(x,z'))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x, x13 -> z'}), NR: '+(+(y',y),+(x,z'))'
ID: 118 => ('+(+(y,+(z',y')),x)', D4, R8, P[1], S{x29 -> y, x30 -> z', x31 -> y'}), NR: '+(y,+(z',y'))'
ID: 119 => ('+(+(+(z',y'),y),x)', D4, R5, P[1], S{x20 -> z', x21 -> y', x22 -> y}), NR: '+(+(z',y'),y)'
SNodesPath1: +(+(+(x,y),y'),z')
TNodesPath1: +(x,+(y,+(y',z'))) -> +(+(x,y),+(y',z')) -> +(y,+(x,+(y',z'))) -> +(x,+(+(y',z'),y)) -> +(x,+(+(y,y'),z')) -> +(x,+(y',+(y,z'))) -> +(x,+(y,+(z',y'))) -> +(x,+(+(y,z'),y')) -> +(x,+(z',+(y,y'))) -> +(x,+(+(z',y),y')) -> +(x,+(+(y',y),z')) -> +(x,+(+(z',y'),y)) -> +(x,+(y',+(z',y))) -> +(+(x,y'),+(z',y)) -> +(+(+(x,y'),z'),y) -> +(+(x,+(y',z')),y) -> +(+(y',z'),+(x,y)) -> +(+(+(y',z'),x),y) -> +(+(y,x),+(y',z')) -> +(+(+(y',z'),y),x) -> +(y,+(+(y',z'),x)) -> +(+(y,+(y',z')),x) -> +(+(y',z'),+(y,x)) -> +(y',+(z',+(y,x))) -> +(y',+(+(z',y),x)) -> +(+(y',+(z',y)),x) -> +(+(x,+(z',y)),y') -> +(+(+(x,y),z'),y') -> +(+(x,+(y,z')),y') -> +(+(+(x,z'),y),y') -> +(+(x,z'),+(y,y')) -> +(+(+(x,z'),y'),y) -> +(+(x,z'),+(y',y)) -> +(x,+(z',+(y',y))) -> +(+(x,+(y',y)),z') -> +(+(+(x,y),y'),z')
SNodesPath2: +(+(+(x,y),y'),z') -> +(+(x,y),+(y',z')) -> +(x,+(y,+(y',z')))
TNodesPath2: +(x,+(y,+(y',z')))
+(+(+(x,y),y'),z') ->= +(+(+(x,y),y'),z') *<- +(x,+(y,+(y',z')))
+(x,+(y,+(y',z'))) ->= +(x,+(y,+(y',z'))) *<- +(+(+(x,y),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.9: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(+(x',y'),z')),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N35
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(+(x',y'),z'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x,+(+(x',y'),z'))', D0)
ID: 1 => ('+(x,+(x',+(y',z')))', D1, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 2 => ('+(x,+(y',+(x',z')))', D1, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 3 => ('+(x,+(+(z',x'),y'))', D1, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 4 => ('+(x,+(+(z',y'),x'))', D1, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 5 => ('+(+(x,+(x',y')),z')', D1, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 6 => ('+(+(x,z'),+(x',y'))', D1, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 7 => ('+(+(x',y'),+(z',x))', D1, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 8 => ('+(z',+(+(x',y'),x))', D1, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 9 => ('+(+(x,x'),+(y',z'))', D2, R5, P[], S{x20 -> x, x21 -> x', x22 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 10 => ('+(+(x,+(y',z')),x')', D2, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 11 => ('+(x,+(+(x',z'),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x',+(+(y',z'),x))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 13 => ('+(x,+(y',+(z',x')))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 14 => ('+(+(y',z'),+(x',x))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 15 => ('+(x,+(z',+(y',x')))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 16 => ('+(+(x,y'),+(x',z'))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 17 => ('+(x,+(+(y',x'),z'))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 18 => ('+(+(x,+(x',z')),y')', D2, R6, P[], S{x23 -> x, x24 -> +(x',z'), x25 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 19 => ('+(x,+(+(y',z'),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 20 => ('+(y',+(+(x',z'),x))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z'), x28 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 21 => ('+(x,+(x',+(z',y')))', D2, R7, P[2], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 22 => ('+(+(x',z'),+(y',x))', D2, R8, P[], S{x29 -> +(x',z'), x30 -> y', x31 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 23 => ('+(x,+(z',+(x',y')))', D2, R8, P[2], S{x29 -> z', x30 -> x', x31 -> y'}), NR: '+(z',+(x',y'))'
ID: 24 => ('+(+(x,+(z',x')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(z',x'), x22 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 25 => ('+(+(x,y'),+(z',x'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 26 => ('+(+(z',x'),+(y',x))', D2, R7, P[], S{x26 -> +(z',x'), x27 -> y', x28 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 27 => ('+(y',+(+(z',x'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(z',x'), x31 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 28 => ('+(+(x,+(z',y')),x')', D2, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 29 => ('+(+(x,x'),+(z',y'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 30 => ('+(+(z',y'),+(x',x))', D2, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 31 => ('+(x',+(+(z',y'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 32 => ('+(+(x',y'),+(x,z'))', D2, R2, P[], S{x11 -> +(x',y'), x12 -> x, x13 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 33 => ('+(+(z',x),+(x',y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 34 => ('+(+(z',+(x',y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 35 => ('+(+(+(x,x'),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 36 => ('+(+(+(x,y'),x'),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 37 => ('+(+(x',+(y',x)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 38 => ('+(+(y',+(x',x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 39 => ('+(z',+(x,+(x',y')))', D2, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(x',y')}), NR: '+(z',+(x,+(x',y')))'
ID: 40 => ('+(+(+(x',y'),x),z')', D2, R3, P[], S{x14 -> +(x',y'), x15 -> x, x16 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 41 => ('+(+(+(x',y'),z'),x)', D2, R4, P[], S{x17 -> +(x',y'), x18 -> z', x19 -> x}), NR: '+(+(+(x',y'),z'),x)'
ID: 42 => ('+(+(+(x,z'),x'),y')', D2, R5, P[], S{x20 -> +(x,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 43 => ('+(+(+(x,z'),y'),x')', D2, R6, P[], S{x23 -> +(x,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(x,z'),y'),x')'
ID: 44 => ('+(x',+(y',+(x,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 45 => ('+(y',+(x',+(x,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(x,z')}), NR: '+(y',+(x',+(x,z')))'
ID: 46 => ('+(x',+(y',+(z',x)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',x)}), NR: '+(x',+(y',+(z',x)))'
ID: 47 => ('+(y',+(x',+(z',x)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 48 => ('+(+(+(z',x),x'),y')', D2, R3, P[], S{x14 -> +(z',x), x15 -> x', x16 -> y'}), NR: '+(+(+(z',x),x'),y')'
ID: 49 => ('+(+(+(z',x),y'),x')', D2, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 50 => ('+(z',+(x',+(y',x)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 51 => ('+(z',+(y',+(x',x)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 52 => ('+(z',+(+(x,x'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 53 => ('+(z',+(+(x,y'),x'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 54 => ('+(x',+(x,+(y',z')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 55 => ('+(+(+(y',z'),x),x')', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 56 => ('+(+(+(y',z'),x'),x)', D3, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 57 => ('+(+(+(x,x'),z'),y')', D3, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 58 => ('+(y',+(z',+(x,x')))', D3, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 59 => ('+(z',+(y',+(x,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 60 => ('+(+(y',z'),+(x,x'))', D3, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 61 => ('+(+(x',x),+(y',z'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 62 => ('+(+(x',+(y',z')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 63 => ('+(+(+(x,y'),z'),x')', D3, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 64 => ('+(+(y',+(z',x)),x')', D3, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 65 => ('+(+(z',+(y',x)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 66 => ('+(x',+(z',+(y',x)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 67 => ('+(x',+(+(x,y'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 68 => ('+(x',+(+(x,z'),y'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 69 => ('+(y',+(z',+(x',x)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 70 => ('+(+(+(x',x),y'),z')', D3, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 71 => ('+(+(+(x',x),z'),y')', D3, R4, P[], S{x17 -> +(x',x), x18 -> z', x19 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 72 => ('+(+(x,z'),+(y',x'))', D3, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 73 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 74 => ('+(z',+(+(y',x'),x))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 75 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 76 => ('+(y',+(x,+(x',z')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(x',z')}), NR: '+(y',+(x,+(x',z')))'
ID: 77 => ('+(+(+(x',z'),x),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> x, x16 -> y'}), NR: '+(+(+(x',z'),x),y')'
ID: 78 => ('+(+(+(x',z'),y'),x)', D3, R4, P[], S{x17 -> +(x',z'), x18 -> y', x19 -> x}), NR: '+(+(+(x',z'),y'),x)'
ID: 79 => ('+(x',+(z',+(x,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 80 => ('+(z',+(x',+(x,y')))', D3, R8, P[], S{x29 -> z', x30 -> x', x31 -> +(x,y')}), NR: '+(z',+(x',+(x,y')))'
ID: 81 => ('+(+(x',z'),+(x,y'))', D3, R2, P[], S{x11 -> +(x',z'), x12 -> x, x13 -> y'}), NR: '+(+(x',z'),+(x,y'))'
ID: 82 => ('+(+(y',x),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(x',z')}), NR: '+(+(y',x),+(x',z'))'
ID: 83 => ('+(+(y',+(x',z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> x}), NR: '+(+(y',+(x',z')),x)'
ID: 84 => ('+(+(x',+(z',x)),y')', D3, R7, P[1], S{x26 -> x', x27 -> z', x28 -> x}), NR: '+(x',+(z',x))'
ID: 85 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 86 => ('+(y',+(+(x,x'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> x', x16 -> z'}), NR: '+(+(x,x'),z')'
ID: 87 => ('+(y',+(+(x,z'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> x'}), NR: '+(+(x,z'),x')'
ID: 88 => ('+(+(+(y',x),x'),z')', D3, R3, P[], S{x14 -> +(y',x), x15 -> x', x16 -> z'}), NR: '+(+(+(y',x),x'),z')'
ID: 89 => ('+(+(+(y',x),z'),x')', D3, R4, P[], S{x17 -> +(y',x), x18 -> z', x19 -> x'}), NR: '+(+(+(y',x),z'),x')'
ID: 90 => ('+(+(z',x'),+(x,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> x, x13 -> y'}), NR: '+(+(z',x'),+(x,y'))'
ID: 91 => ('+(+(y',x),+(z',x'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(z',x')}), NR: '+(+(y',x),+(z',x'))'
ID: 92 => ('+(+(y',+(z',x')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(z',x'), x19 -> x}), NR: '+(+(y',+(z',x')),x)'
ID: 93 => ('+(y',+(x,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',x')}), NR: '+(y',+(x,+(z',x')))'
ID: 94 => ('+(+(+(z',x'),x),y')', D3, R3, P[], S{x14 -> +(z',x'), x15 -> x, x16 -> y'}), NR: '+(+(+(z',x'),x),y')'
ID: 95 => ('+(+(+(z',x'),y'),x)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> x}), NR: '+(+(+(z',x'),y'),x)'
ID: 96 => ('+(+(z',y'),+(x,x'))', D3, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> x'}), NR: '+(+(z',y'),+(x,x'))'
ID: 97 => ('+(+(x',x),+(z',y'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 98 => ('+(+(x',+(z',y')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(z',y'), x19 -> x}), NR: '+(+(x',+(z',y')),x)'
ID: 99 => ('+(x',+(x,+(z',y')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(z',y')}), NR: '+(x',+(x,+(z',y')))'
ID: 100 => ('+(+(+(z',y'),x),x')', D3, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 101 => ('+(+(+(z',y'),x'),x)', D3, R4, P[], S{x17 -> +(z',y'), x18 -> x', x19 -> x}), NR: '+(+(+(z',y'),x'),x)'
ID: 102 => ('+(+(x',+(x,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 103 => ('+(+(z',+(x,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 104 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 105 => ('+(+(y',+(x,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 106 => ('+(+(z',+(x,y')),x')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y'), x16 -> x'}), NR: '+(+(z',+(x,y')),x')'
ID: 107 => ('+(x',+(+(y',x),z'))', D3, R1, P[], S{x8 -> x', x9 -> +(y',x), x10 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 108 => ('+(y',+(+(x',x),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x',x), x10 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 109 => ('+(+(y',+(x,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(x,z'), x16 -> x'}), NR: '+(+(y',+(x,z')),x')'
ID: 110 => ('+(+(y',x'),+(x,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 111 => ('+(+(x',+(x,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 112 => ('+(y',+(+(z',x),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x), x28 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 113 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 114 => ('+(x',+(+(z',x),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',x), x28 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 115 => ('+(z',+(+(x',x),y'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> y'}), NR: '+(+(x',x),y')'
ID: 116 => ('+(z',+(x,+(y',x')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
ID: 117 => ('+(z',+(+(y',x),x'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> x'}), NR: '+(+(y',x),x')'
ID: 118 => ('+(+(z',+(y',x')),x)', D4, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 119 => ('+(+(+(y',x'),z'),x)', D4, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> x}), NR: '+(+(+(y',x'),z'),x)'
t: +(+(x,+(z',y')),x')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,20),(3,21),(3,22),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,13),(4,14),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,20),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,20),(7,40),(7,42),(7,44),(7,46),(7,47),(7,48),(7,49),(8,0),(8,34),(8,36),(8,38),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,22),(10,39),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,22),(11,48),(11,60),(11,62),(11,64),(11,66),(11,67),(11,68),(12,1),(12,52),(12,55),(12,57),(12,59),(12,69),(12,70),(12,71),(13,16),(13,17),(13,18),(13,19),(13,20),(13,21),(13,22),(13,23),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,46),(16,56),(16,76),(16,77),(16,78),(16,79),(16,80),(17,13),(17,50),(17,63),(17,81),(17,82),(17,83),(17,84),(17,85),(18,13),(18,35),(18,66),(18,81),(18,82),(18,83),(18,86),(18,87),(19,2),(19,43),(19,69),(19,76),(19,77),(19,79),(19,88),(19,89),(20,1),(20,2),(20,3),(20,4),(20,5),(20,6),(20,7),(20,8),(21,0),(21,13),(21,14),(21,15),(21,28),(21,29),(21,30),(21,31),(22,0),(22,9),(22,10),(22,11),(22,12),(22,13),(22,14),(22,15),(23,1),(23,2),(23,3),(23,4),(23,72),(23,73),(23,74),(23,75),(24,3),(24,35),(24,66),(24,86),(24,87),(24,90),(24,91),(24,92),(25,14),(25,43),(25,69),(25,88),(25,89),(25,93),(25,94),(25,95),(26,14),(26,46),(26,56),(26,78),(26,80),(26,93),(26,94),(26,95),(27,3),(27,50),(27,63),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,48),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,21),(29,52),(29,69),(29,70),(29,71),(29,99),(29,100),(29,101),(30,21),(30,32),(30,54),(30,56),(30,58),(30,99),(30,100),(30,101),(31,4),(31,39),(31,61),(31,63),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,85),(32,89),(32,97),(32,102),(32,103),(32,104),(33,17),(33,42),(33,68),(33,70),(33,74),(33,94),(33,105),(33,106),(34,20),(34,39),(34,40),(34,41),(34,42),(34,43),(34,44),(34,45),(35,24),(35,42),(35,61),(35,70),(35,74),(35,76),(35,106),(35,107),(36,20),(36,40),(36,42),(36,44),(36,46),(36,47),(36,48),(36,49),(37,5),(37,29),(37,64),(37,78),(37,85),(37,103),(37,104),(37,108),(38,5),(38,6),(38,7),(38,8),(38,60),(38,81),(38,93),(38,99),(39,6),(39,10),(39,80),(39,87),(39,101),(39,105),(39,109),(39,110),(40,5),(40,6),(40,7),(40,8),(40,60),(40,81),(40,93),(40,99),(41,16),(41,34),(41,67),(41,71),(41,75),(41,90),(41,102),(41,111),(42,0),(42,32),(42,33),(42,34),(42,35),(42,36),(42,37),(42,38),(43,25),(43,34),(43,54),(43,67),(43,75),(43,82),(43,108),(43,111),(44,0),(44,34),(44,36),(44,38),(44,50),(44,51),(44,52),(44,53),(45,6),(45,28),(45,57),(45,80),(45,84),(45,107),(45,109),(45,110),(46,7),(46,16),(46,65),(46,71),(46,90),(46,102),(46,112),(46,113),(47,10),(47,36),(47,72),(47,87),(47,88),(47,101),(47,105),(47,114),(48,28),(48,36),(48,57),(48,72),(48,84),(48,88),(48,107),(48,114),(49,7),(49,25),(49,54),(49,65),(49,82),(49,108),(49,112),(49,113),(50,8),(50,17),(50,58),(50,68),(50,94),(50,105),(50,115),(50,116),(51,9),(51,44),(51,73),(51,86),(51,89),(51,97),(51,102),(51,117),(52,29),(52,44),(52,64),(52,73),(52,78),(52,86),(52,108),(52,117),(53,8),(53,24),(53,58),(53,61),(53,76),(53,107),(53,115),(53,116),(54,19),(54,30),(54,49),(54,51),(54,62),(54,91),(54,106),(54,109),(55,22),(55,39),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,26),(56,30),(56,41),(56,51),(56,62),(56,83),(56,106),(56,114),(57,22),(57,48),(57,60),(57,62),(57,64),(57,66),(57,67),(57,68),(58,9),(58,44),(58,73),(58,86),(58,89),(58,97),(58,102),(58,117),(59,9),(59,10),(59,11),(59,12),(59,40),(59,79),(59,92),(59,118),(60,9),(60,10),(60,11),(60,12),(60,40),(60,79),(60,92),(60,118),(61,18),(61,31),(61,47),(61,53),(61,55),(61,95),(61,103),(61,111),(62,1),(62,32),(62,54),(62,55),(62,56),(62,57),(62,58),(62,59),(63,27),(63,31),(63,33),(63,47),(63,55),(63,77),(63,111),(63,117),(64,1),(64,52),(64,55),(64,57),(64,59),(64,69),(64,70),(64,71),(65,10),(65,36),(65,72),(65,87),(65,88),(65,101),(65,105),(65,114),(66,11),(66,18),(66,45),(66,53),(66,95),(66,100),(66,103),(66,112),(67,6),(67,28),(67,57),(67,80),(67,84),(67,107),(67,109),(67,110),(68,11),(68,27),(68,33),(68,45),(68,77),(68,100),(68,112),(68,117),(69,12),(69,19),(69,37),(69,49),(69,91),(69,96),(69,109),(69,115),(70,5),(70,29),(70,64),(70,78),(70,85),(70,103),(70,104),(70,108),(71,12),(71,26),(71,37),(71,41),(71,83),(71,96),(71,114),(71,115),(72,15),(72,46),(72,47),(72,48),(72,49),(72,104),(72,116),(72,119),(73,23),(73,50),(73,51),(73,52),(73,53),(73,110),(73,113),(73,118),(74,23),(74,32),(74,33),(74,35),(74,37),(74,110),(74,113),(74,118),(75,15),(75,39),(75,41),(75,43),(75,45),(75,104),(75,116),(75,119),(76,13),(76,35),(76,66),(76,81),(76,82),(76,83),(76,86),(76,87),(77,13),(77,50),(77,63),(77,81),(77,82),(77,83),(77,84),(77,85),(78,12),(78,26),(78,37),(78,41),(78,83),(78,96),(78,114),(78,115)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ID: 0 => ('+(+(x,+(z',y')),x')', D0)
ID: 1 => ('+(x,+(+(z',y'),x'))', D1, R1, P[], S{x8 -> x, x9 -> +(z',y'), x10 -> x'}), NR: '+(x,+(+(z',y'),x'))'
ID: 2 => ('+(+(z',y'),+(x,x'))', D1, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> x'}), NR: '+(+(z',y'),+(x,x'))'
ID: 3 => ('+(+(x',x),+(z',y'))', D1, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 4 => ('+(+(x',+(z',y')),x)', D1, R4, P[], S{x17 -> x', x18 -> +(z',y'), x19 -> x}), NR: '+(+(x',+(z',y')),x)'
ID: 5 => ('+(+(+(x,z'),y'),x')', D1, R5, P[1], S{x20 -> x, x21 -> z', x22 -> y'}), NR: '+(+(x,z'),y')'
ID: 6 => ('+(+(+(x,y'),z'),x')', D1, R6, P[1], S{x23 -> x, x24 -> y', x25 -> z'}), NR: '+(+(x,y'),z')'
ID: 7 => ('+(+(z',+(y',x)),x')', D1, R7, P[1], S{x26 -> z', x27 -> y', x28 -> x}), NR: '+(z',+(y',x))'
ID: 8 => ('+(+(y',+(z',x)),x')', D1, R8, P[1], S{x29 -> y', x30 -> z', x31 -> x}), NR: '+(y',+(z',x))'
ID: 9 => ('+(x,+(z',+(y',x')))', D2, R1, P[2], S{x8 -> z', x9 -> y', x10 -> x'}), NR: '+(z',+(y',x'))'
ID: 10 => ('+(x,+(y',+(z',x')))', D2, R2, P[2], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 11 => ('+(x,+(+(x',z'),y'))', D2, R3, P[2], S{x14 -> x', x15 -> z', x16 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x,+(+(x',y'),z'))', D2, R4, P[2], S{x17 -> x', x18 -> y', x19 -> z'}), NR: '+(+(x',y'),z')'
ID: 13 => ('+(+(x,x'),+(z',y'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 14 => ('+(+(z',y'),+(x',x))', D2, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 15 => ('+(x',+(+(z',y'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 16 => ('+(z',+(y',+(x,x')))', D2, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 17 => ('+(y',+(z',+(x,x')))', D2, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 18 => ('+(+(+(x,x'),z'),y')', D2, R3, P[], S{x14 -> +(x,x'), x15 -> z', x16 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 19 => ('+(+(+(x,x'),y'),z')', D2, R4, P[], S{x17 -> +(x,x'), x18 -> y', x19 -> z'}), NR: '+(+(+(x,x'),y'),z')'
ID: 20 => ('+(+(+(z',y'),x),x')', D2, R5, P[], S{x20 -> +(z',y'), x21 -> x, x22 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 21 => ('+(+(+(z',y'),x'),x)', D2, R6, P[], S{x23 -> +(z',y'), x24 -> x', x25 -> x}), NR: '+(+(+(z',y'),x'),x)'
ID: 22 => ('+(x,+(x',+(z',y')))', D2, R7, P[], S{x26 -> x, x27 -> x', x28 -> +(z',y')}), NR: '+(x,+(x',+(z',y')))'
ID: 23 => ('+(x',+(x,+(z',y')))', D2, R8, P[], S{x29 -> x', x30 -> x, x31 -> +(z',y')}), NR: '+(x',+(x,+(z',y')))'
ID: 24 => ('+(+(+(x',x),z'),y')', D2, R5, P[], S{x20 -> +(x',x), x21 -> z', x22 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 25 => ('+(+(+(x',x),y'),z')', D2, R6, P[], S{x23 -> +(x',x), x24 -> y', x25 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 26 => ('+(z',+(y',+(x',x)))', D2, R7, P[], S{x26 -> z', x27 -> y', x28 -> +(x',x)}), NR: '+(z',+(y',+(x',x)))'
ID: 27 => ('+(y',+(z',+(x',x)))', D2, R8, P[], S{x29 -> y', x30 -> z', x31 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 28 => ('+(+(+(x',z'),y'),x)', D2, R5, P[1], S{x20 -> x', x21 -> z', x22 -> y'}), NR: '+(+(x',z'),y')'
ID: 29 => ('+(+(+(x',y'),z'),x)', D2, R6, P[1], S{x23 -> x', x24 -> y', x25 -> z'}), NR: '+(+(x',y'),z')'
ID: 30 => ('+(+(z',+(y',x')),x)', D2, R7, P[1], S{x26 -> z', x27 -> y', x28 -> x'}), NR: '+(z',+(y',x'))'
ID: 31 => ('+(+(y',+(z',x')),x)', D2, R8, P[1], S{x29 -> y', x30 -> z', x31 -> x'}), NR: '+(y',+(z',x'))'
ID: 32 => ('+(+(x,z'),+(y',x'))', D2, R1, P[], S{x8 -> +(x,z'), x9 -> y', x10 -> x'}), NR: '+(+(x,z'),+(y',x'))'
ID: 33 => ('+(y',+(+(x,z'),x'))', D2, R2, P[], S{x11 -> y', x12 -> +(x,z'), x13 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 34 => ('+(+(z',+(x,y')),x')', D2, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 35 => ('+(+(x',+(x,z')),y')', D2, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 36 => ('+(+(+(y',x),z'),x')', D2, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 37 => ('+(+(x',y'),+(x,z'))', D2, R4, P[], S{x17 -> x', x18 -> y', x19 -> +(x,z')}), NR: '+(+(x',y'),+(x,z'))'
ID: 38 => ('+(+(+(y',z'),x),x')', D2, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x}), NR: '+(+(y',z'),x)'
ID: 39 => ('+(+(x,y'),+(z',x'))', D2, R1, P[], S{x8 -> +(x,y'), x9 -> z', x10 -> x'}), NR: '+(+(x,y'),+(z',x'))'
ID: 40 => ('+(+(x,+(y',z')),x')', D2, R1, P[1], S{x8 -> x, x9 -> y', x10 -> z'}), NR: '+(x,+(y',z'))'
ID: 41 => ('+(z',+(+(x,y'),x'))', D2, R2, P[], S{x11 -> z', x12 -> +(x,y'), x13 -> x'}), NR: '+(z',+(+(x,y'),x'))'
ID: 42 => ('+(+(y',+(x,z')),x')', D2, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 43 => ('+(+(x',+(x,y')),z')', D2, R3, P[], S{x14 -> x', x15 -> +(x,y'), x16 -> z'}), NR: '+(+(x',+(x,y')),z')'
ID: 44 => ('+(+(+(z',x),y'),x')', D2, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 45 => ('+(+(x',z'),+(x,y'))', D2, R4, P[], S{x17 -> x', x18 -> z', x19 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 46 => ('+(z',+(+(y',x),x'))', D2, R1, P[], S{x8 -> z', x9 -> +(y',x), x10 -> x'}), NR: '+(z',+(+(y',x),x'))'
ID: 47 => ('+(+(y',x),+(z',x'))', D2, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 48 => ('+(+(x',z'),+(y',x))', D2, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(y',x)}), NR: '+(+(x',z'),+(y',x))'
ID: 49 => ('+(+(x',+(y',x)),z')', D2, R4, P[], S{x17 -> x', x18 -> +(y',x), x19 -> z'}), NR: '+(+(x',+(y',x)),z')'
ID: 50 => ('+(y',+(+(z',x),x'))', D2, R1, P[], S{x8 -> y', x9 -> +(z',x), x10 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 51 => ('+(+(z',x),+(y',x'))', D2, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 52 => ('+(+(x',y'),+(z',x))', D2, R3, P[], S{x14 -> x', x15 -> y', x16 -> +(z',x)}), NR: '+(+(x',y'),+(z',x))'
ID: 53 => ('+(+(x',+(z',x)),y')', D2, R4, P[], S{x17 -> x', x18 -> +(z',x), x19 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 54 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 55 => ('+(x,+(+(z',x'),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 56 => ('+(z',+(+(y',x'),x))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 57 => ('+(x,+(y',+(x',z')))', D3, R7, P[2], S{x26 -> y', x27 -> x', x28 -> z'}), NR: '+(y',+(x',z'))'
ID: 58 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 59 => ('+(x,+(x',+(y',z')))', D3, R8, P[2], S{x29 -> x', x30 -> y', x31 -> z'}), NR: '+(x',+(y',z'))'
ID: 60 => ('+(x,+(+(y',z'),x'))', D3, R5, P[2], S{x20 -> y', x21 -> z', x22 -> x'}), NR: '+(+(y',z'),x')'
ID: 61 => ('+(+(x,+(z',x')),y')', D3, R6, P[], S{x23 -> x, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 62 => ('+(x,+(+(y',x'),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 63 => ('+(y',+(+(z',x'),x))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x'), x28 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 64 => ('+(x,+(z',+(x',y')))', D3, R7, P[2], S{x26 -> z', x27 -> x', x28 -> y'}), NR: '+(z',+(x',y'))'
ID: 65 => ('+(+(z',x'),+(y',x))', D3, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 66 => ('+(+(x,+(x',z')),y')', D3, R5, P[], S{x20 -> x, x21 -> +(x',z'), x22 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 67 => ('+(+(x,y'),+(x',z'))', D3, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 68 => ('+(y',+(+(x',z'),x))', D3, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 69 => ('+(+(x,+(x',y')),z')', D3, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 70 => ('+(+(x,z'),+(x',y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 71 => ('+(z',+(+(x',y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 72 => ('+(x',+(z',+(y',x)))', D3, R1, P[2], S{x8 -> z', x9 -> y', x10 -> x}), NR: '+(z',+(y',x))'
ID: 73 => ('+(x',+(y',+(z',x)))', D3, R2, P[2], S{x11 -> y', x12 -> z', x13 -> x}), NR: '+(y',+(z',x))'
ID: 74 => ('+(x',+(+(x,z'),y'))', D3, R3, P[2], S{x14 -> x, x15 -> z', x16 -> y'}), NR: '+(+(x,z'),y')'
ID: 75 => ('+(x',+(+(x,y'),z'))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> z'}), NR: '+(+(x,y'),z')'
ID: 76 => ('+(+(z',+(x,x')),y')', D3, R6, P[], S{x23 -> z', x24 -> +(x,x'), x25 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 77 => ('+(y',+(+(x,x'),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(x,x'), x28 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 78 => ('+(z',+(x,+(x',y')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> y'}), NR: '+(x,+(x',y'))'
ID: 79 => ('+(+(x,x'),+(y',z'))', D3, R8, P[], S{x29 -> +(x,x'), x30 -> y', x31 -> z'}), NR: '+(+(x,x'),+(y',z'))'
ID: 80 => ('+(z',+(x',+(x,y')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y'}), NR: '+(x',+(x,y'))'
ID: 81 => ('+(+(y',z'),+(x,x'))', D3, R5, P[], S{x20 -> y', x21 -> z', x22 -> +(x,x')}), NR: '+(+(y',z'),+(x,x'))'
ID: 82 => ('+(+(y',+(x,x')),z')', D3, R6, P[], S{x23 -> y', x24 -> +(x,x'), x25 -> z'}), NR: '+(+(y',+(x,x')),z')'
ID: 83 => ('+(z',+(+(x,x'),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(x,x'), x28 -> y'}), NR: '+(z',+(+(x,x'),y'))'
ID: 84 => ('+(y',+(x,+(x',z')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> z'}), NR: '+(x,+(x',z'))'
ID: 85 => ('+(y',+(x',+(x,z')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> z'}), NR: '+(x',+(x,z'))'
ID: 86 => ('+(+(+(z',x),x'),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> x'}), NR: '+(+(z',x),x')'
ID: 87 => ('+(+(+(z',x'),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> x', x19 -> x}), NR: '+(+(z',x'),x)'
ID: 88 => ('+(+(+(y',x),x'),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 89 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 90 => ('+(z',+(+(x',x),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x',x), x13 -> y'}), NR: '+(z',+(+(x',x),y'))'
ID: 91 => ('+(+(y',+(x',x)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x',x), x16 -> z'}), NR: '+(+(y',+(x',x)),z')'
ID: 92 => ('+(+(y',z'),+(x',x))', D3, R4, P[], S{x17 -> y', x18 -> z', x19 -> +(x',x)}), NR: '+(+(y',z'),+(x',x))'
ID: 93 => ('+(+(x',x),+(y',z'))', D3, R1, P[], S{x8 -> +(x',x), x9 -> y', x10 -> z'}), NR: '+(+(x',x),+(y',z'))'
ID: 94 => ('+(y',+(+(x',x),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x',x), x13 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 95 => ('+(+(z',+(x',x)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x',x), x16 -> y'}), NR: '+(+(z',+(x',x)),y')'
ID: 96 => ('+(+(z',+(x',y')),x)', D3, R2, P[1], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 97 => ('+(+(+(y',x'),z'),x)', D3, R3, P[1], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 98 => ('+(+(+(y',z'),x'),x)', D3, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x'}), NR: '+(+(y',z'),x')'
ID: 99 => ('+(+(x',+(y',z')),x)', D3, R1, P[1], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 100 => ('+(+(y',+(x',z')),x)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 101 => ('+(+(+(z',x'),y'),x)', D3, R3, P[1], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 102 => ('+(z',+(x,+(y',x')))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',x')}), NR: '+(z',+(x,+(y',x')))'
ID: 103 => ('+(+(+(x,z'),x'),y')', D3, R6, P[], S{x23 -> +(x,z'), x24 -> x', x25 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 104 => ('+(x',+(y',+(x,z')))', D3, R8, P[], S{x29 -> x', x30 -> y', x31 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 105 => ('+(y',+(x,+(z',x')))', D3, R1, P[2], S{x8 -> x, x9 -> z', x10 -> x'}), NR: '+(x,+(z',x'))'
ID: 106 => ('+(+(y',x'),+(x,z'))', D3, R6, P[], S{x23 -> y', x24 -> x', x25 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 107 => ('+(+(+(x',z'),x),y')', D3, R6, P[1], S{x23 -> x', x24 -> z', x25 -> x}), NR: '+(+(x',z'),x)'
ID: 108 => ('+(+(+(x',y'),x),z')', D3, R5, P[], S{x20 -> +(x',y'), x21 -> x, x22 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 109 => ('+(+(+(x,y'),x'),z')', D3, R6, P[], S{x23 -> +(x,y'), x24 -> x', x25 -> z'}), NR: '+(+(+(x,y'),x'),z')'
ID: 110 => ('+(x',+(z',+(x,y')))', D3, R8, P[], S{x29 -> x', x30 -> z', x31 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 111 => ('+(+(z',x'),+(x,y'))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(x,y')}), NR: '+(+(z',x'),+(x,y'))'
ID: 112 => ('+(+(y',x),+(x',z'))', D3, R7, P[], S{x26 -> +(y',x), x27 -> x', x28 -> z'}), NR: '+(+(y',x),+(x',z'))'
ID: 113 => ('+(x',+(+(y',x),z'))', D3, R8, P[], S{x29 -> x', x30 -> +(y',x), x31 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 114 => ('+(z',+(x',+(y',x)))', D3, R7, P[], S{x26 -> z', x27 -> x', x28 -> +(y',x)}), NR: '+(z',+(x',+(y',x)))'
ID: 115 => ('+(+(z',x),+(x',y'))', D3, R7, P[], S{x26 -> +(z',x), x27 -> x', x28 -> y'}), NR: '+(+(z',x),+(x',y'))'
ID: 116 => ('+(x',+(+(z',x),y'))', D3, R8, P[], S{x29 -> x', x30 -> +(z',x), x31 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 117 => ('+(y',+(x',+(z',x)))', D3, R7, P[], S{x26 -> y', x27 -> x', x28 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 118 => ('+(x',+(+(y',z'),x))', D4, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 119 => ('+(x',+(x,+(y',z')))', D4, R8, P[2], S{x29 -> x, x30 -> y', x31 -> z'}), NR: '+(x,+(y',z'))'
SNodesPath1: +(x,+(+(x',y'),z'))
TNodesPath1: +(+(x,+(z',y')),x') -> +(x,+(+(z',y'),x')) -> +(x,+(z',+(y',x'))) -> +(+(x,z'),+(y',x')) -> +(+(+(x,z'),y'),x') -> +(y',+(+(x,z'),x')) -> +(y',+(z',+(x,x'))) -> +(+(x,x'),+(z',y')) -> +(z',+(y',+(x,x'))) -> +(+(z',y'),+(x,x')) -> +(+(+(x,x'),z'),y') -> +(+(x',+(x,z')),y') -> +(+(+(x',x),z'),y') -> +(+(x',x),+(z',y')) -> +(+(+(z',y'),x),x') -> +(+(x',+(z',y')),x) -> +(+(z',y'),+(x',x)) -> +(+(+(z',y'),x'),x) -> +(x',+(+(z',y'),x)) -> +(x',+(z',+(y',x))) -> +(z',+(+(y',x),x')) -> +(+(z',+(y',x)),x') -> +(+(x,+(y',z')),x') -> +(+(+(x,y'),z'),x') -> +(+(x,y'),+(z',x')) -> +(x,+(y',+(z',x'))) -> +(x,+(x',+(z',y'))) -> +(x,+(+(x',z'),y')) -> +(+(x',z'),+(y',x)) -> +(+(+(x',z'),y'),x) -> +(+(x,+(x',z')),y') -> +(+(x',z'),+(x,y')) -> +(x,+(y',+(x',z'))) -> +(x,+(+(y',z'),x')) -> +(x,+(+(x',y'),z'))
SNodesPath2: +(x,+(+(x',y'),z')) -> +(x,+(x',+(y',z'))) -> +(+(x,x'),+(y',z')) -> +(+(+(x,x'),y'),z') -> +(+(x,+(x',y')),z') -> +(+(x',y'),+(x,z')) -> +(x,+(z',+(x',y'))) -> +(x,+(y',+(x',z'))) -> +(+(x,y'),+(x',z')) -> +(+(+(x,y'),x'),z') -> +(+(+(x',y'),x),z') -> +(+(z',x),+(x',y')) -> +(z',+(x,+(x',y'))) -> +(+(z',+(x',y')),x) -> +(+(x,z'),+(x',y')) -> +(+(+(x',y'),z'),x) -> +(+(x',y'),+(z',x)) -> +(x',+(y',+(z',x))) -> +(x',+(+(y',z'),x)) -> +(x,+(+(y',z'),x')) -> +(+(x,+(y',z')),x') -> +(+(+(x,z'),y'),x') -> +(+(x,+(z',y')),x')
TNodesPath2: +(+(x,+(z',y')),x')
+(x,+(+(x',y'),z')) ->= +(x,+(+(x',y'),z')) *<- +(+(x,+(z',y')),x')
+(+(x,+(z',y')),x') ->= +(+(x,+(z',y')),x') *<- +(x,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.10: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(+(x',y'),z')),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N36
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(+(x',y'),z'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,17),(3,19),(3,21),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,11),(4,13),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,23),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,23),(7,39),(7,40),(7,41),(7,46),(7,47),(7,48),(7,49),(8,0),(8,32),(8,33),(8,34),(8,50),(8,51),(8,52),(8,53),(9,1),(9,35),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,19),(10,43),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(11,22),(11,23),(12,19),(12,46),(12,60),(12,61),(12,62),(12,66),(12,67),(12,68),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(13,26),(13,27),(14,1),(14,51),(14,54),(14,55),(14,56),(14,69),(14,70),(14,71),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,36),(16,63),(16,76),(16,77),(16,78),(16,79),(16,80),(17,1),(17,2),(17,3),(17,4),(17,72),(17,73),(17,74),(17,75),(18,11),(18,42),(18,57),(18,81),(18,82),(18,83),(18,84),(18,85),(19,0),(19,9),(19,10),(19,11),(19,12),(19,13),(19,14),(19,15),(20,11),(20,47),(20,69),(20,81),(20,82),(20,83),(20,86),(20,87),(21,0),(21,11),(21,13),(21,15),(21,28),(21,29),(21,30),(21,31),(22,2),(22,50),(22,66),(22,76),(22,77),(22,78),(22,88),(22,89),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,3),(24,42),(24,57),(24,84),(24,85),(24,90),(24,91),(24,92),(25,13),(25,36),(25,63),(25,79),(25,80),(25,93),(25,94),(25,95),(26,13),(26,50),(26,66),(26,88),(26,89),(26,93),(26,94),(26,95),(27,3),(27,47),(27,69),(27,86),(27,87),(27,90),(27,91),(27,92),(28,4),(28,43),(28,63),(28,64),(28,65),(28,96),(28,97),(28,98),(29,21),(29,35),(29,57),(29,58),(29,59),(29,99),(29,100),(29,101),(30,21),(30,51),(30,69),(30,70),(30,71),(30,99),(30,100),(30,101),(31,4),(31,46),(31,66),(31,67),(31,68),(31,96),(31,97),(31,98),(32,23),(32,39),(32,40),(32,41),(32,42),(32,43),(32,44),(32,45),(33,23),(33,39),(33,40),(33,41),(33,46),(33,47),(33,48),(33,49),(34,5),(34,6),(34,7),(34,8),(34,62),(34,83),(34,95),(34,101),(35,5),(35,9),(35,86),(35,88),(35,96),(35,102),(35,103),(35,104),(36,16),(36,40),(36,67),(36,70),(36,73),(36,90),(36,105),(36,106),(37,26),(37,40),(37,65),(37,70),(37,73),(37,82),(37,105),(37,107),(38,5),(38,30),(38,61),(38,85),(38,88),(38,102),(38,104),(38,108),(39,0),(39,32),(39,33),(39,34),(39,50),(39,51),(39,52),(39,53),(40,0),(40,32),(40,33),(40,34),(40,35),(40,36),(40,37),(40,38),(41,5),(41,6),(41,7),(41,8),(41,62),(41,83),(41,95),(41,101),(42,6),(42,24),(42,68),(42,71),(42,77),(42,103),(42,109),(42,110),(43,28),(43,32),(43,55),(43,72),(43,87),(43,89),(43,106),(43,111),(44,12),(44,32),(44,72),(44,79),(44,87),(44,99),(44,107),(44,111),(45,6),(45,20),(45,58),(45,68),(45,93),(45,108),(45,109),(45,110),(46,7),(46,12),(46,79),(46,84),(46,99),(46,107),(46,112),(46,113),(47,20),(47,33),(47,58),(47,64),(47,75),(47,93),(47,108),(47,114),(48,24),(48,33),(48,64),(48,71),(48,75),(48,77),(48,103),(48,114),(49,7),(49,28),(49,55),(49,84),(49,89),(49,106),(49,112),(49,113),(50,8),(50,26),(50,59),(50,65),(50,82),(50,107),(50,115),(50,116),(51,30),(51,39),(51,61),(51,74),(51,80),(51,85),(51,108),(51,117),(52,9),(52,39),(52,74),(52,80),(52,86),(52,96),(52,103),(52,117),(53,8),(53,16),(53,59),(53,67),(53,90),(53,106),(53,115),(53,116),(54,19),(54,46),(54,60),(54,61),(54,62),(54,66),(54,67),(54,68),(55,19),(55,43),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,9),(56,10),(56,12),(56,14),(56,41),(56,78),(56,92),(56,118),(57,18),(57,29),(57,48),(57,52),(57,60),(57,94),(57,105),(57,111),(58,27),(58,29),(58,45),(58,52),(58,60),(58,76),(58,105),(58,112),(59,9),(59,39),(59,74),(59,80),(59,86),(59,96),(59,103),(59,117),(60,1),(60,35),(60,54),(60,55),(60,56),(60,57),(60,58),(60,59),(61,1),(61,51),(61,54),(61,55),(61,56),(61,69),(61,70),(61,71),(62,9),(62,10),(62,12),(62,14),(62,41),(62,78),(62,92),(62,118),(63,10),(63,25),(63,49),(63,53),(63,81),(63,100),(63,102),(63,109),(64,7),(64,28),(64,55),(64,84),(64,89),(64,106),(64,112),(64,113),(65,10),(65,22),(65,37),(65,49),(65,91),(65,100),(65,109),(65,117),(66,22),(66,31),(66,37),(66,44),(66,54),(66,91),(66,114),(66,117),(67,25),(67,31),(67,44),(67,53),(67,54),(67,81),(67,102),(67,114),(68,12),(68,32),(68,72),(68,79),(68,87),(68,99),(68,107),(68,111),(69,14),(69,27),(69,38),(69,45),(69,76),(69,97),(69,112),(69,115),(70,5),(70,30),(70,61),(70,85),(70,88),(70,102),(70,104),(70,108),(71,14),(71,18),(71,38),(71,48),(71,94),(71,97),(71,111),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,104),(72,116),(72,119),(73,17),(73,35),(73,36),(73,37),(73,38),(73,110),(73,113),(73,118),(74,17),(74,50),(74,51),(74,52),(74,53),(74,110),(74,113),(74,118),(75,15),(75,46),(75,47),(75,48),(75,49),(75,104),(75,116),(75,119),(76,11),(76,47),(76,69),(76,81),(76,82),(76,83),(76,86),(76,87),(77,11),(77,42),(77,57),(77,81),(77,82),(77,83),(77,84),(77,85),(78,16),(78,18),(78,20),(78,22),(78,34),(78,56),(78,98),(78,119),(79,25),(79,31),(79,44),(79,53),(79,54),(79,81),(79,102),(79,114),(80,8),(80,16),(80,59),(80,67),(80,90),(80,106),(80,115),(80,116),(81,2),(81,36),(81,63),(81,76),(81,77),(81,78),(81,79),(81,80),(82,2),(82,50),(82,66),(82,76),(82,77),(82,78),(82,88),(82,89),(83,16),(83,18),(83,20),(83,22),(83,34),(83,56),(83,98),(83,119),(84,24),(84,33),(84,64),(84,71),(84,75),(84,77),(84,103),(84,114),(85,14),(85,18),(85,38),(85,48),(85,94),(85,97),(85,111),(85,115),(86,27),(86,29),(86,45),(86,52),(86,60),(86,76),(86,105),(86,112),(87,6),(87,20),(87,58),(87,68),(87,93),(87,108),(87,109),(87,110),(88,26),(88,40),(88,65),(88,70),(88,73),(88,82),(88,105),(88,107),(89,10),(89,22),(89,37),(89,49),(89,91),(89,100),(89,109),(89,117),(90,13),(90,36),(90,63),(90,79),(90,80),(90,93),(90,94),(90,95),(91,13),(91,50),(91,66),(91,88),(91,89),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,34),(92,56),(92,98),(92,119),(93,3),(93,47),(93,69),(93,86),(93,87),(93,90),(93,91),(93,92),(94,3),(94,42),(94,57),(94,84),(94,85),(94,90),(94,91),(94,92),(95,24),(95,25),(95,26),(95,27),(95,34),(95,56),(95,98),(95,119),(96,21),(96,35),(96,57),(96,58),(96,59),(96,99),(96,100),(96,101),(97,21),(97,51),(97,69),(97,70),(97,71),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,41),(98,78),(98,92),(98,118),(99,4),(99,46),(99,66),(99,67),(99,68),(99,96),(99,97),(99,98),(100,4),(100,43),(100,63),(100,64),(100,65),(100,96),(100,97),(100,98),(101,28),(101,29),(101,30),(101,31),(101,41),(101,78),(101,92),(101,118),(102,16),(102,40),(102,67),(102,70),(102,73),(102,90),(102,105),(102,106),(103,18),(103,29),(103,48),(103,52),(103,60),(103,94),(103,105),(103,111),(104,17),(104,35),(104,36),(104,37),(104,38),(104,110),(104,113),(104,118),(105,5),(105,9),(105,86),(105,88),(105,96),(105,102),(105,103),(105,104),(106,10),(106,25),(106,49),(106,53),(106,81),(106,100),(106,102),(106,109),(107,22),(107,31),(107,37),(107,44),(107,54),(107,91),(107,114),(107,117),(108,14),(108,27),(108,38),(108,45),(108,76),(108,97),(108,112),(108,115),(109,28),(109,32),(109,55),(109,72),(109,87),(109,89),(109,106),(109,111),(110,15),(110,42),(110,43),(110,44),(110,45),(110,104),(110,116),(110,119),(111,6),(111,24),(111,68),(111,71),(111,77),(111,103),(111,109),(111,110),(112,20),(112,33),(112,58),(112,64),(112,75),(112,93),(112,108),(112,114),(113,15),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,12),(114,79),(114,84),(114,99),(114,107),(114,112),(114,113),(115,30),(115,39),(115,61),(115,74),(115,80),(115,85),(115,108),(115,117),(116,17),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,26),(117,59),(117,65),(117,82),(117,107),(117,115),(117,116),(118,62),(118,72),(118,73),(118,74),(118,75),(118,83),(118,95),(118,101),(119,62),(119,72),(119,73),(119,74),(119,75),(119,83),(119,95),(119,101)]
ID: 0 => ('+(x,+(+(x',y'),z'))', D0)
ID: 1 => ('+(x,+(x',+(y',z')))', D1, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 2 => ('+(x,+(y',+(x',z')))', D1, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 3 => ('+(x,+(+(z',x'),y'))', D1, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 4 => ('+(x,+(+(z',y'),x'))', D1, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 5 => ('+(+(x,+(x',y')),z')', D1, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 6 => ('+(+(x,z'),+(x',y'))', D1, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 7 => ('+(+(x',y'),+(z',x))', D1, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 8 => ('+(z',+(+(x',y'),x))', D1, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 9 => ('+(+(x,x'),+(y',z'))', D2, R5, P[], S{x20 -> x, x21 -> x', x22 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 10 => ('+(+(x,+(y',z')),x')', D2, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 11 => ('+(x,+(+(x',z'),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x',+(+(y',z'),x))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 13 => ('+(x,+(y',+(z',x')))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 14 => ('+(+(y',z'),+(x',x))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 15 => ('+(x,+(z',+(y',x')))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 16 => ('+(+(x,y'),+(x',z'))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 17 => ('+(x,+(+(y',x'),z'))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 18 => ('+(+(x,+(x',z')),y')', D2, R6, P[], S{x23 -> x, x24 -> +(x',z'), x25 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 19 => ('+(x,+(+(y',z'),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 20 => ('+(y',+(+(x',z'),x))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z'), x28 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 21 => ('+(x,+(x',+(z',y')))', D2, R7, P[2], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 22 => ('+(+(x',z'),+(y',x))', D2, R8, P[], S{x29 -> +(x',z'), x30 -> y', x31 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 23 => ('+(x,+(z',+(x',y')))', D2, R8, P[2], S{x29 -> z', x30 -> x', x31 -> y'}), NR: '+(z',+(x',y'))'
ID: 24 => ('+(+(x,+(z',x')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(z',x'), x22 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 25 => ('+(+(x,y'),+(z',x'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 26 => ('+(+(z',x'),+(y',x))', D2, R7, P[], S{x26 -> +(z',x'), x27 -> y', x28 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 27 => ('+(y',+(+(z',x'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(z',x'), x31 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 28 => ('+(+(x,+(z',y')),x')', D2, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 29 => ('+(+(x,x'),+(z',y'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 30 => ('+(+(z',y'),+(x',x))', D2, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 31 => ('+(x',+(+(z',y'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 32 => ('+(+(x',y'),+(x,z'))', D2, R2, P[], S{x11 -> +(x',y'), x12 -> x, x13 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 33 => ('+(+(z',x),+(x',y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 34 => ('+(+(z',+(x',y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 35 => ('+(+(+(x,x'),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 36 => ('+(+(+(x,y'),x'),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 37 => ('+(+(x',+(y',x)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 38 => ('+(+(y',+(x',x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 39 => ('+(z',+(x,+(x',y')))', D2, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(x',y')}), NR: '+(z',+(x,+(x',y')))'
ID: 40 => ('+(+(+(x',y'),x),z')', D2, R3, P[], S{x14 -> +(x',y'), x15 -> x, x16 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 41 => ('+(+(+(x',y'),z'),x)', D2, R4, P[], S{x17 -> +(x',y'), x18 -> z', x19 -> x}), NR: '+(+(+(x',y'),z'),x)'
ID: 42 => ('+(+(+(x,z'),x'),y')', D2, R5, P[], S{x20 -> +(x,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 43 => ('+(+(+(x,z'),y'),x')', D2, R6, P[], S{x23 -> +(x,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(x,z'),y'),x')'
ID: 44 => ('+(x',+(y',+(x,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 45 => ('+(y',+(x',+(x,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(x,z')}), NR: '+(y',+(x',+(x,z')))'
ID: 46 => ('+(x',+(y',+(z',x)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',x)}), NR: '+(x',+(y',+(z',x)))'
ID: 47 => ('+(y',+(x',+(z',x)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 48 => ('+(+(+(z',x),x'),y')', D2, R3, P[], S{x14 -> +(z',x), x15 -> x', x16 -> y'}), NR: '+(+(+(z',x),x'),y')'
ID: 49 => ('+(+(+(z',x),y'),x')', D2, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 50 => ('+(z',+(x',+(y',x)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 51 => ('+(z',+(y',+(x',x)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 52 => ('+(z',+(+(x,x'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 53 => ('+(z',+(+(x,y'),x'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 54 => ('+(x',+(x,+(y',z')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 55 => ('+(+(+(y',z'),x),x')', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 56 => ('+(+(+(y',z'),x'),x)', D3, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 57 => ('+(+(+(x,x'),z'),y')', D3, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 58 => ('+(y',+(z',+(x,x')))', D3, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 59 => ('+(z',+(y',+(x,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 60 => ('+(+(y',z'),+(x,x'))', D3, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 61 => ('+(+(x',x),+(y',z'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 62 => ('+(+(x',+(y',z')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 63 => ('+(+(+(x,y'),z'),x')', D3, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 64 => ('+(+(y',+(z',x)),x')', D3, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 65 => ('+(+(z',+(y',x)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 66 => ('+(x',+(z',+(y',x)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 67 => ('+(x',+(+(x,y'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 68 => ('+(x',+(+(x,z'),y'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 69 => ('+(y',+(z',+(x',x)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 70 => ('+(+(+(x',x),y'),z')', D3, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 71 => ('+(+(+(x',x),z'),y')', D3, R4, P[], S{x17 -> +(x',x), x18 -> z', x19 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 72 => ('+(+(x,z'),+(y',x'))', D3, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 73 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 74 => ('+(z',+(+(y',x'),x))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 75 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 76 => ('+(y',+(x,+(x',z')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(x',z')}), NR: '+(y',+(x,+(x',z')))'
ID: 77 => ('+(+(+(x',z'),x),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> x, x16 -> y'}), NR: '+(+(+(x',z'),x),y')'
ID: 78 => ('+(+(+(x',z'),y'),x)', D3, R4, P[], S{x17 -> +(x',z'), x18 -> y', x19 -> x}), NR: '+(+(+(x',z'),y'),x)'
ID: 79 => ('+(x',+(z',+(x,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 80 => ('+(z',+(x',+(x,y')))', D3, R8, P[], S{x29 -> z', x30 -> x', x31 -> +(x,y')}), NR: '+(z',+(x',+(x,y')))'
ID: 81 => ('+(+(x',z'),+(x,y'))', D3, R2, P[], S{x11 -> +(x',z'), x12 -> x, x13 -> y'}), NR: '+(+(x',z'),+(x,y'))'
ID: 82 => ('+(+(y',x),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(x',z')}), NR: '+(+(y',x),+(x',z'))'
ID: 83 => ('+(+(y',+(x',z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> x}), NR: '+(+(y',+(x',z')),x)'
ID: 84 => ('+(+(x',+(z',x)),y')', D3, R7, P[1], S{x26 -> x', x27 -> z', x28 -> x}), NR: '+(x',+(z',x))'
ID: 85 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 86 => ('+(y',+(+(x,x'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> x', x16 -> z'}), NR: '+(+(x,x'),z')'
ID: 87 => ('+(y',+(+(x,z'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> x'}), NR: '+(+(x,z'),x')'
ID: 88 => ('+(+(+(y',x),x'),z')', D3, R3, P[], S{x14 -> +(y',x), x15 -> x', x16 -> z'}), NR: '+(+(+(y',x),x'),z')'
ID: 89 => ('+(+(+(y',x),z'),x')', D3, R4, P[], S{x17 -> +(y',x), x18 -> z', x19 -> x'}), NR: '+(+(+(y',x),z'),x')'
ID: 90 => ('+(+(z',x'),+(x,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> x, x13 -> y'}), NR: '+(+(z',x'),+(x,y'))'
ID: 91 => ('+(+(y',x),+(z',x'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(z',x')}), NR: '+(+(y',x),+(z',x'))'
ID: 92 => ('+(+(y',+(z',x')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(z',x'), x19 -> x}), NR: '+(+(y',+(z',x')),x)'
ID: 93 => ('+(y',+(x,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',x')}), NR: '+(y',+(x,+(z',x')))'
ID: 94 => ('+(+(+(z',x'),x),y')', D3, R3, P[], S{x14 -> +(z',x'), x15 -> x, x16 -> y'}), NR: '+(+(+(z',x'),x),y')'
ID: 95 => ('+(+(+(z',x'),y'),x)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> x}), NR: '+(+(+(z',x'),y'),x)'
ID: 96 => ('+(+(z',y'),+(x,x'))', D3, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> x'}), NR: '+(+(z',y'),+(x,x'))'
ID: 97 => ('+(+(x',x),+(z',y'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 98 => ('+(+(x',+(z',y')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(z',y'), x19 -> x}), NR: '+(+(x',+(z',y')),x)'
ID: 99 => ('+(x',+(x,+(z',y')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(z',y')}), NR: '+(x',+(x,+(z',y')))'
ID: 100 => ('+(+(+(z',y'),x),x')', D3, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 101 => ('+(+(+(z',y'),x'),x)', D3, R4, P[], S{x17 -> +(z',y'), x18 -> x', x19 -> x}), NR: '+(+(+(z',y'),x'),x)'
ID: 102 => ('+(+(x',+(x,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 103 => ('+(+(z',+(x,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 104 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 105 => ('+(+(y',+(x,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 106 => ('+(+(z',+(x,y')),x')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y'), x16 -> x'}), NR: '+(+(z',+(x,y')),x')'
ID: 107 => ('+(x',+(+(y',x),z'))', D3, R1, P[], S{x8 -> x', x9 -> +(y',x), x10 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 108 => ('+(y',+(+(x',x),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x',x), x10 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 109 => ('+(+(y',+(x,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(x,z'), x16 -> x'}), NR: '+(+(y',+(x,z')),x')'
ID: 110 => ('+(+(y',x'),+(x,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 111 => ('+(+(x',+(x,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 112 => ('+(y',+(+(z',x),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x), x28 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 113 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 114 => ('+(x',+(+(z',x),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',x), x28 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 115 => ('+(z',+(+(x',x),y'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> y'}), NR: '+(+(x',x),y')'
ID: 116 => ('+(z',+(x,+(y',x')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
ID: 117 => ('+(z',+(+(y',x),x'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> x'}), NR: '+(+(y',x),x')'
ID: 118 => ('+(+(z',+(y',x')),x)', D4, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 119 => ('+(+(+(y',x'),z'),x)', D4, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> x}), NR: '+(+(+(y',x'),z'),x)'
t: +(+(x,x'),+(y',z'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,16),(3,18),(3,20),(3,22),(3,24),(3,25),(3,26),(3,27),(4,0),(4,10),(4,12),(4,14),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,22),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,22),(7,39),(7,41),(7,43),(7,46),(7,47),(7,48),(7,49),(8,0),(8,33),(8,35),(8,37),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,16),(10,18),(10,20),(10,22),(10,24),(10,25),(10,26),(10,27),(11,20),(11,40),(11,60),(11,61),(11,62),(11,63),(11,64),(11,65),(12,16),(12,17),(12,18),(12,19),(12,20),(12,21),(12,22),(12,23),(13,20),(13,47),(13,60),(13,61),(13,62),(13,66),(13,67),(13,68),(14,1),(14,2),(14,3),(14,4),(14,69),(14,70),(14,71),(14,72),(15,1),(15,51),(15,54),(15,55),(15,56),(15,73),(15,74),(15,75),(16,1),(16,2),(16,3),(16,4),(16,69),(16,70),(16,71),(16,72),(17,2),(17,34),(17,66),(17,76),(17,77),(17,78),(17,79),(17,80),(18,0),(18,10),(18,12),(18,14),(18,28),(18,29),(18,30),(18,31),(19,12),(19,42),(19,73),(19,81),(19,82),(19,83),(19,84),(19,85),(20,0),(20,9),(20,10),(20,11),(20,12),(20,13),(20,14),(20,15),(21,12),(21,46),(21,58),(21,81),(21,82),(21,83),(21,86),(21,87),(22,1),(22,2),(22,3),(22,4),(22,5),(22,6),(22,7),(22,8),(23,2),(23,50),(23,64),(23,76),(23,77),(23,78),(23,88),(23,89),(24,3),(24,46),(24,58),(24,86),(24,87),(24,90),(24,91),(24,92),(25,10),(25,50),(25,64),(25,88),(25,89),(25,93),(25,94),(25,95),(26,10),(26,34),(26,66),(26,79),(26,80),(26,93),(26,94),(26,95),(27,3),(27,42),(27,73),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,47),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,18),(29,51),(29,73),(29,74),(29,75),(29,99),(29,100),(29,101),(30,18),(30,32),(30,57),(30,58),(30,59),(30,99),(30,100),(30,101),(31,4),(31,40),(31,63),(31,64),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,84),(32,88),(32,97),(32,102),(32,103),(32,104),(33,22),(33,39),(33,41),(33,43),(33,46),(33,47),(33,48),(33,49),(34,17),(34,43),(34,63),(34,71),(34,74),(34,91),(34,105),(34,106),(35,22),(35,39),(35,40),(35,41),(35,42),(35,43),(35,44),(35,45),(36,25),(36,43),(36,68),(36,71),(36,74),(36,83),(36,106),(36,107),(37,5),(37,6),(37,7),(37,8),(37,60),(37,81),(37,93),(37,99),(38,5),(38,29),(38,62),(38,87),(38,88),(38,103),(38,104),(38,108),(39,5),(39,6),(39,7),(39,8),(39,60),(39,81),(39,93),(39,99),(40,6),(40,11),(40,79),(40,86),(40,101),(40,107),(40,109),(40,110),(41,0),(41,33),(41,35),(41,37),(41,50),(41,51),(41,52),(41,53),(42,19),(42,35),(42,57),(42,67),(42,72),(42,95),(42,108),(42,111),(43,0),(43,32),(43,33),(43,34),(43,35),(43,36),(43,37),(43,38),(44,24),(44,35),(44,67),(44,72),(44,75),(44,77),(44,102),(44,111),(45,6),(45,28),(45,55),(45,86),(45,89),(45,105),(45,109),(45,110),(46,7),(46,24),(46,65),(46,75),(46,77),(46,102),(46,112),(46,113),(47,28),(47,33),(47,55),(47,69),(47,85),(47,89),(47,105),(47,114),(48,11),(48,33),(48,69),(48,79),(48,85),(48,101),(48,107),(48,114),(49,7),(49,19),(49,57),(49,65),(49,95),(49,108),(49,112),(49,113),(50,8),(50,25),(50,59),(50,68),(50,83),(50,107),(50,115),(50,116),(51,29),(51,41),(51,62),(51,70),(51,80),(51,87),(51,108),(51,117),(52,9),(52,41),(52,70),(52,80),(52,84),(52,97),(52,102),(52,117),(53,8),(53,17),(53,59),(53,63),(53,91),(53,105),(53,115),(53,116),(54,20),(54,40),(54,60),(54,61),(54,62),(54,63),(54,64),(54,65),(55,20),(55,47),(55,60),(55,61),(55,62),(55,66),(55,67),(55,68),(56,9),(56,11),(56,13),(56,15),(56,39),(56,78),(56,92),(56,118),(57,27),(57,30),(57,49),(57,52),(57,61),(57,76),(57,106),(57,109),(58,21),(58,30),(58,44),(58,52),(58,61),(58,94),(58,106),(58,114),(59,9),(59,41),(59,70),(59,80),(59,84),(59,97),(59,102),(59,117),(60,9),(60,11),(60,13),(60,15),(60,39),(60,78),(60,92),(60,118),(61,1),(61,32),(61,54),(61,55),(61,56),(61,57),(61,58),(61,59),(62,1),(62,51),(62,54),(62,55),(62,56),(62,73),(62,74),(62,75),(63,26),(63,31),(63,48),(63,53),(63,54),(63,82),(63,103),(63,111),(64,23),(64,31),(64,36),(64,48),(64,54),(64,90),(64,111),(64,117),(65,11),(65,33),(65,69),(65,79),(65,85),(65,101),(65,107),(65,114),(66,13),(66,26),(66,45),(66,53),(66,82),(66,100),(66,103),(66,112),(67,6),(67,28),(67,55),(67,86),(67,89),(67,105),(67,109),(67,110),(68,13),(68,23),(68,36),(68,45),(68,90),(68,100),(68,112),(68,117),(69,14),(69,46),(69,47),(69,48),(69,49),(69,104),(69,116),(69,119),(70,16),(70,50),(70,51),(70,52),(70,53),(70,110),(70,113),(70,118),(71,16),(71,32),(71,34),(71,36),(71,38),(71,110),(71,113),(71,118),(72,14),(72,40),(72,42),(72,44),(72,45),(72,104),(72,116),(72,119),(73,15),(73,27),(73,38),(73,49),(73,76),(73,96),(73,109),(73,115),(74,5),(74,29),(74,62),(74,87),(74,88),(74,103),(74,104),(74,108),(75,15),(75,21),(75,38),(75,44),(75,94),(75,96),(75,114),(75,115),(76,12),(76,42),(76,73),(76,81),(76,82),(76,83),(76,84),(76,85),(77,12),(77,46),(77,58),(77,81),(77,82),(77,83),(77,86),(77,87),(78,17),(78,19),(78,21),(78,23),(78,37),(78,56),(78,98),(78,119),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ID: 0 => ('+(+(x,x'),+(y',z'))', D0)
ID: 1 => ('+(x,+(x',+(y',z')))', D1, R1, P[], S{x8 -> x, x9 -> x', x10 -> +(y',z')}), NR: '+(x,+(x',+(y',z')))'
ID: 2 => ('+(x',+(x,+(y',z')))', D1, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 3 => ('+(+(+(y',z'),x),x')', D1, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 4 => ('+(+(+(y',z'),x'),x)', D1, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 5 => ('+(+(+(x,x'),y'),z')', D1, R5, P[], S{x20 -> +(x,x'), x21 -> y', x22 -> z'}), NR: '+(+(+(x,x'),y'),z')'
ID: 6 => ('+(+(+(x,x'),z'),y')', D1, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 7 => ('+(y',+(z',+(x,x')))', D1, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 8 => ('+(z',+(y',+(x,x')))', D1, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 9 => ('+(x,+(+(x',y'),z'))', D2, R5, P[2], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 10 => ('+(+(x,+(y',z')),x')', D2, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 11 => ('+(x,+(+(x',z'),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x',+(+(y',z'),x))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 13 => ('+(x,+(y',+(z',x')))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 14 => ('+(+(y',z'),+(x',x))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 15 => ('+(x,+(z',+(y',x')))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 16 => ('+(+(x',x),+(y',z'))', D2, R5, P[], S{x20 -> x', x21 -> x, x22 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 17 => ('+(x',+(+(x,y'),z'))', D2, R5, P[2], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 18 => ('+(+(x',+(y',z')),x)', D2, R6, P[], S{x23 -> x', x24 -> +(y',z'), x25 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 19 => ('+(x',+(+(x,z'),y'))', D2, R6, P[2], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 20 => ('+(x,+(+(y',z'),x'))', D2, R7, P[], S{x26 -> x, x27 -> +(y',z'), x28 -> x'}), NR: '+(x,+(+(y',z'),x'))'
ID: 21 => ('+(x',+(y',+(z',x)))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 22 => ('+(+(y',z'),+(x,x'))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x, x31 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 23 => ('+(x',+(z',+(y',x)))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 24 => ('+(+(y',+(z',x)),x')', D2, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 25 => ('+(+(z',+(y',x)),x')', D2, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 26 => ('+(+(+(x,y'),z'),x')', D2, R3, P[1], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 27 => ('+(+(+(x,z'),y'),x')', D2, R4, P[1], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 28 => ('+(+(y',+(z',x')),x)', D2, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 29 => ('+(+(z',+(y',x')),x)', D2, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 30 => ('+(+(+(x',y'),z'),x)', D2, R3, P[1], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 31 => ('+(+(+(x',z'),y'),x)', D2, R4, P[1], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 32 => ('+(+(x,+(x',y')),z')', D2, R1, P[1], S{x8 -> x, x9 -> x', x10 -> y'}), NR: '+(x,+(x',y'))'
ID: 33 => ('+(y',+(+(x,x'),z'))', D2, R2, P[], S{x11 -> y', x12 -> +(x,x'), x13 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 34 => ('+(+(x',+(x,y')),z')', D2, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 35 => ('+(+(z',+(x,x')),y')', D2, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 36 => ('+(+(+(y',x),x'),z')', D2, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 37 => ('+(+(z',y'),+(x,x'))', D2, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,x')}), NR: '+(+(z',y'),+(x,x'))'
ID: 38 => ('+(+(+(y',x'),x),z')', D2, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 39 => ('+(+(x,x'),+(z',y'))', D2, R1, P[], S{x8 -> +(x,x'), x9 -> z', x10 -> y'}), NR: '+(+(x,x'),+(z',y'))'
ID: 40 => ('+(+(x,+(x',z')),y')', D2, R1, P[1], S{x8 -> x, x9 -> x', x10 -> z'}), NR: '+(x,+(x',z'))'
ID: 41 => ('+(z',+(+(x,x'),y'))', D2, R2, P[], S{x11 -> z', x12 -> +(x,x'), x13 -> y'}), NR: '+(z',+(+(x,x'),y'))'
ID: 42 => ('+(+(x',+(x,z')),y')', D2, R2, P[1], S{x11 -> x', x12 -> x, x13 -> z'}), NR: '+(x',+(x,z'))'
ID: 43 => ('+(+(y',+(x,x')),z')', D2, R3, P[], S{x14 -> y', x15 -> +(x,x'), x16 -> z'}), NR: '+(+(y',+(x,x')),z')'
ID: 44 => ('+(+(+(z',x),x'),y')', D2, R3, P[1], S{x14 -> z', x15 -> x, x16 -> x'}), NR: '+(+(z',x),x')'
ID: 45 => ('+(+(+(z',x'),x),y')', D2, R4, P[1], S{x17 -> z', x18 -> x', x19 -> x}), NR: '+(+(z',x'),x)'
ID: 46 => ('+(y',+(+(z',x),x'))', D2, R5, P[2], S{x20 -> z', x21 -> x, x22 -> x'}), NR: '+(+(z',x),x')'
ID: 47 => ('+(y',+(+(z',x'),x))', D2, R6, P[2], S{x23 -> z', x24 -> x', x25 -> x}), NR: '+(+(z',x'),x)'
ID: 48 => ('+(y',+(x,+(x',z')))', D2, R7, P[2], S{x26 -> x, x27 -> x', x28 -> z'}), NR: '+(x,+(x',z'))'
ID: 49 => ('+(y',+(x',+(x,z')))', D2, R8, P[2], S{x29 -> x', x30 -> x, x31 -> z'}), NR: '+(x',+(x,z'))'
ID: 50 => ('+(z',+(+(y',x),x'))', D2, R5, P[2], S{x20 -> y', x21 -> x, x22 -> x'}), NR: '+(+(y',x),x')'
ID: 51 => ('+(z',+(+(y',x'),x))', D2, R6, P[2], S{x23 -> y', x24 -> x', x25 -> x}), NR: '+(+(y',x'),x)'
ID: 52 => ('+(z',+(x,+(x',y')))', D2, R7, P[2], S{x26 -> x, x27 -> x', x28 -> y'}), NR: '+(x,+(x',y'))'
ID: 53 => ('+(z',+(x',+(x,y')))', D2, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y'}), NR: '+(x',+(x,y'))'
ID: 54 => ('+(x,+(y',+(x',z')))', D3, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 55 => ('+(x,+(+(z',x'),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 56 => ('+(x,+(+(z',y'),x'))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 57 => ('+(+(x,z'),+(x',y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 58 => ('+(+(x',y'),+(z',x))', D3, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 59 => ('+(z',+(+(x',y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 60 => ('+(x,+(x',+(z',y')))', D3, R1, P[2], S{x8 -> x', x9 -> z', x10 -> y'}), NR: '+(x',+(z',y'))'
ID: 61 => ('+(x,+(z',+(x',y')))', D3, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 62 => ('+(x,+(+(y',x'),z'))', D3, R3, P[2], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 63 => ('+(+(x,y'),+(x',z'))', D3, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 64 => ('+(+(x',z'),+(y',x))', D3, R7, P[], S{x26 -> +(x',z'), x27 -> y', x28 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 65 => ('+(y',+(+(x',z'),x))', D3, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 66 => ('+(+(x,y'),+(z',x'))', D3, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 67 => ('+(+(x,+(z',x')),y')', D3, R6, P[], S{x23 -> x, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 68 => ('+(+(z',x'),+(y',x))', D3, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 69 => ('+(y',+(z',+(x',x)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 70 => ('+(z',+(y',+(x',x)))', D3, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x',x)}), NR: '+(z',+(y',+(x',x)))'
ID: 71 => ('+(+(+(x',x),y'),z')', D3, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 72 => ('+(+(+(x',x),z'),y')', D3, R4, P[], S{x17 -> +(x',x), x18 -> z', x19 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 73 => ('+(+(x,z'),+(y',x'))', D3, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 74 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 75 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 76 => ('+(x',+(y',+(x,z')))', D3, R2, P[2], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 77 => ('+(x',+(+(z',x),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 78 => ('+(x',+(+(z',y'),x))', D3, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 79 => ('+(+(x',z'),+(x,y'))', D3, R6, P[], S{x23 -> x', x24 -> z', x25 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 80 => ('+(z',+(+(x,y'),x'))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> x'}), NR: '+(z',+(+(x,y'),x'))'
ID: 81 => ('+(x',+(x,+(z',y')))', D3, R1, P[2], S{x8 -> x, x9 -> z', x10 -> y'}), NR: '+(x,+(z',y'))'
ID: 82 => ('+(x',+(z',+(x,y')))', D3, R2, P[2], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 83 => ('+(x',+(+(y',x),z'))', D3, R3, P[2], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 84 => ('+(+(x',y'),+(x,z'))', D3, R6, P[], S{x23 -> x', x24 -> y', x25 -> +(x,z')}), NR: '+(+(x',y'),+(x,z'))'
ID: 85 => ('+(y',+(+(x,z'),x'))', D3, R8, P[], S{x29 -> y', x30 -> +(x,z'), x31 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 86 => ('+(+(x',+(z',x)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(z',x), x25 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 87 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 88 => ('+(+(x',+(y',x)),z')', D3, R6, P[], S{x23 -> x', x24 -> +(y',x), x25 -> z'}), NR: '+(+(x',+(y',x)),z')'
ID: 89 => ('+(+(y',x),+(z',x'))', D3, R8, P[], S{x29 -> +(y',x), x30 -> z', x31 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 90 => ('+(+(+(y',x),z'),x')', D3, R6, P[1], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 91 => ('+(+(z',+(x,y')),x')', D3, R7, P[1], S{x26 -> z', x27 -> x, x28 -> y'}), NR: '+(z',+(x,y'))'
ID: 92 => ('+(+(x,+(z',y')),x')', D3, R8, P[1], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
ID: 93 => ('+(+(+(z',y'),x),x')', D3, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x}), NR: '+(+(z',y'),x)'
ID: 94 => ('+(+(+(z',x),y'),x')', D3, R6, P[1], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 95 => ('+(+(y',+(x,z')),x')', D3, R7, P[1], S{x26 -> y', x27 -> x, x28 -> z'}), NR: '+(y',+(x,z'))'
ID: 96 => ('+(+(+(y',x'),z'),x)', D3, R6, P[1], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 97 => ('+(+(z',+(x',y')),x)', D3, R7, P[1], S{x26 -> z', x27 -> x', x28 -> y'}), NR: '+(z',+(x',y'))'
ID: 98 => ('+(+(x',+(z',y')),x)', D3, R8, P[1], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 99 => ('+(+(+(z',y'),x'),x)', D3, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
ID: 100 => ('+(+(+(z',x'),y'),x)', D3, R6, P[1], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 101 => ('+(+(y',+(x',z')),x)', D3, R7, P[1], S{x26 -> y', x27 -> x', x28 -> z'}), NR: '+(y',+(x',z'))'
ID: 102 => ('+(+(z',x),+(x',y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 103 => ('+(+(+(x,y'),x'),z')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 104 => ('+(+(y',+(x',x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 105 => ('+(+(z',x'),+(x,y'))', D3, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(x,y')}), NR: '+(+(z',x'),+(x,y'))'
ID: 106 => ('+(+(+(x',y'),x),z')', D3, R6, P[1], S{x23 -> x', x24 -> y', x25 -> x}), NR: '+(+(x',y'),x)'
ID: 107 => ('+(+(y',x),+(x',z'))', D3, R1, P[], S{x8 -> +(y',x), x9 -> x', x10 -> z'}), NR: '+(+(y',x),+(x',z'))'
ID: 108 => ('+(+(y',x'),+(x,z'))', D3, R1, P[], S{x8 -> +(y',x'), x9 -> x, x10 -> z'}), NR: '+(+(y',x'),+(x,z'))'
ID: 109 => ('+(+(+(x,z'),x'),y')', D3, R6, P[1], S{x23 -> x, x24 -> z', x25 -> x'}), NR: '+(+(x,z'),x')'
ID: 110 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 111 => ('+(+(+(x',z'),x),y')', D3, R6, P[1], S{x23 -> x', x24 -> z', x25 -> x}), NR: '+(+(x',z'),x)'
ID: 112 => ('+(y',+(x,+(z',x')))', D3, R2, P[2], S{x11 -> x, x12 -> z', x13 -> x'}), NR: '+(x,+(z',x'))'
ID: 113 => ('+(y',+(+(x',x),z'))', D3, R4, P[2], S{x17 -> x', x18 -> x, x19 -> z'}), NR: '+(+(x',x),z')'
ID: 114 => ('+(y',+(x',+(z',x)))', D3, R2, P[2], S{x11 -> x', x12 -> z', x13 -> x}), NR: '+(x',+(z',x))'
ID: 115 => ('+(z',+(x,+(y',x')))', D3, R2, P[2], S{x11 -> x, x12 -> y', x13 -> x'}), NR: '+(x,+(y',x'))'
ID: 116 => ('+(z',+(+(x',x),y'))', D3, R4, P[2], S{x17 -> x', x18 -> x, x19 -> y'}), NR: '+(+(x',x),y')'
ID: 117 => ('+(z',+(x',+(y',x)))', D3, R2, P[2], S{x11 -> x', x12 -> y', x13 -> x}), NR: '+(x',+(y',x))'
ID: 118 => ('+(+(z',y'),+(x',x))', D4, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 119 => ('+(+(x',x),+(z',y'))', D4, R8, P[], S{x29 -> +(x',x), x30 -> z', x31 -> y'}), NR: '+(+(x',x),+(z',y'))'
SNodesPath1: +(x,+(+(x',y'),z'))
TNodesPath1: +(+(x,x'),+(y',z')) -> +(x,+(x',+(y',z'))) -> +(x,+(+(x',y'),z'))
SNodesPath2: +(x,+(+(x',y'),z')) -> +(x,+(x',+(y',z'))) -> +(+(x,x'),+(y',z'))
TNodesPath2: +(+(x,x'),+(y',z'))
+(x,+(+(x',y'),z')) ->= +(x,+(+(x',y'),z')) *<- +(+(x,x'),+(y',z'))
+(+(x,x'),+(y',z')) ->= +(+(x,x'),+(y',z')) *<- +(x,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.11: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(z,y))),+(+(+(x',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N37
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(z,y)))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x',+(y',+(z,y)))', D0)
ID: 1 => ('+(+(x',y'),+(z,y))', D1, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(z,y)}), NR: '+(+(x',y'),+(z,y))'
ID: 2 => ('+(x',+(+(y',z),y))', D1, R5, P[2], S{x20 -> y', x21 -> z, x22 -> y}), NR: '+(+(y',z),y)'
ID: 3 => ('+(+(x',+(z,y)),y')', D1, R6, P[], S{x23 -> x', x24 -> +(z,y), x25 -> y'}), NR: '+(+(x',+(z,y)),y')'
ID: 4 => ('+(x',+(+(y',y),z))', D1, R6, P[2], S{x23 -> y', x24 -> y, x25 -> z}), NR: '+(+(y',y),z)'
ID: 5 => ('+(y',+(+(z,y),x'))', D1, R7, P[], S{x26 -> y', x27 -> +(z,y), x28 -> x'}), NR: '+(y',+(+(z,y),x'))'
ID: 6 => ('+(x',+(z,+(y,y')))', D1, R7, P[2], S{x26 -> z, x27 -> y, x28 -> y'}), NR: '+(z,+(y,y'))'
ID: 7 => ('+(+(z,y),+(y',x'))', D1, R8, P[], S{x29 -> +(z,y), x30 -> y', x31 -> x'}), NR: '+(+(z,y),+(y',x'))'
ID: 8 => ('+(x',+(y,+(z,y')))', D1, R8, P[2], S{x29 -> y, x30 -> z, x31 -> y'}), NR: '+(y,+(z,y'))'
ID: 9 => ('+(y',+(x',+(z,y)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z,y)}), NR: '+(y',+(x',+(z,y)))'
ID: 10 => ('+(+(+(z,y),x'),y')', D2, R3, P[], S{x14 -> +(z,y), x15 -> x', x16 -> y'}), NR: '+(+(+(z,y),x'),y')'
ID: 11 => ('+(+(+(z,y),y'),x')', D2, R4, P[], S{x17 -> +(z,y), x18 -> y', x19 -> x'}), NR: '+(+(+(z,y),y'),x')'
ID: 12 => ('+(+(+(x',y'),z),y)', D2, R5, P[], S{x20 -> +(x',y'), x21 -> z, x22 -> y}), NR: '+(+(+(x',y'),z),y)'
ID: 13 => ('+(+(+(x',y'),y),z)', D2, R6, P[], S{x23 -> +(x',y'), x24 -> y, x25 -> z}), NR: '+(+(+(x',y'),y),z)'
ID: 14 => ('+(z,+(y,+(x',y')))', D2, R7, P[], S{x26 -> z, x27 -> y, x28 -> +(x',y')}), NR: '+(z,+(y,+(x',y')))'
ID: 15 => ('+(y,+(z,+(x',y')))', D2, R8, P[], S{x29 -> y, x30 -> z, x31 -> +(x',y')}), NR: '+(y,+(z,+(x',y')))'
ID: 16 => ('+(x',+(z,+(y',y)))', D2, R2, P[2], S{x11 -> z, x12 -> y', x13 -> y}), NR: '+(z,+(y',y))'
ID: 17 => ('+(x',+(+(y,y'),z))', D2, R3, P[2], S{x14 -> y, x15 -> y', x16 -> z}), NR: '+(+(y,y'),z)'
ID: 18 => ('+(x',+(+(y,z),y'))', D2, R4, P[2], S{x17 -> y, x18 -> z, x19 -> y'}), NR: '+(+(y,z),y')'
ID: 19 => ('+(+(x',+(y',z)),y)', D2, R5, P[], S{x20 -> x', x21 -> +(y',z), x22 -> y}), NR: '+(+(x',+(y',z)),y)'
ID: 20 => ('+(+(x',y),+(y',z))', D2, R6, P[], S{x23 -> x', x24 -> y, x25 -> +(y',z)}), NR: '+(+(x',y),+(y',z))'
ID: 21 => ('+(+(y',z),+(y,x'))', D2, R7, P[], S{x26 -> +(y',z), x27 -> y, x28 -> x'}), NR: '+(+(y',z),+(y,x'))'
ID: 22 => ('+(y,+(+(y',z),x'))', D2, R8, P[], S{x29 -> y, x30 -> +(y',z), x31 -> x'}), NR: '+(y,+(+(y',z),x'))'
ID: 23 => ('+(x',+(+(z,y),y'))', D2, R1, P[], S{x8 -> x', x9 -> +(z,y), x10 -> y'}), NR: '+(x',+(+(z,y),y'))'
ID: 24 => ('+(+(z,y),+(x',y'))', D2, R2, P[], S{x11 -> +(z,y), x12 -> x', x13 -> y'}), NR: '+(+(z,y),+(x',y'))'
ID: 25 => ('+(+(y',x'),+(z,y))', D2, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z,y)}), NR: '+(+(y',x'),+(z,y))'
ID: 26 => ('+(+(y',+(z,y)),x')', D2, R4, P[], S{x17 -> y', x18 -> +(z,y), x19 -> x'}), NR: '+(+(y',+(z,y)),x')'
ID: 27 => ('+(+(+(x',z),y),y')', D2, R5, P[1], S{x20 -> x', x21 -> z, x22 -> y}), NR: '+(+(x',z),y)'
ID: 28 => ('+(+(+(x',y),z),y')', D2, R6, P[1], S{x23 -> x', x24 -> y, x25 -> z}), NR: '+(+(x',y),z)'
ID: 29 => ('+(+(z,+(y,x')),y')', D2, R7, P[1], S{x26 -> z, x27 -> y, x28 -> x'}), NR: '+(z,+(y,x'))'
ID: 30 => ('+(+(y,+(z,x')),y')', D2, R8, P[1], S{x29 -> y, x30 -> z, x31 -> x'}), NR: '+(y,+(z,x'))'
ID: 31 => ('+(x',+(y',+(y,z)))', D2, R1, P[2], S{x8 -> y', x9 -> y, x10 -> z}), NR: '+(y',+(y,z))'
ID: 32 => ('+(x',+(y,+(y',z)))', D2, R2, P[2], S{x11 -> y, x12 -> y', x13 -> z}), NR: '+(y,+(y',z))'
ID: 33 => ('+(x',+(+(z,y'),y))', D2, R3, P[2], S{x14 -> z, x15 -> y', x16 -> y}), NR: '+(+(z,y'),y)'
ID: 34 => ('+(+(x',+(y',y)),z)', D2, R5, P[], S{x20 -> x', x21 -> +(y',y), x22 -> z}), NR: '+(+(x',+(y',y)),z)'
ID: 35 => ('+(+(x',z),+(y',y))', D2, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',y)}), NR: '+(+(x',z),+(y',y))'
ID: 36 => ('+(+(y',y),+(z,x'))', D2, R7, P[], S{x26 -> +(y',y), x27 -> z, x28 -> x'}), NR: '+(+(y',y),+(z,x'))'
ID: 37 => ('+(z,+(+(y',y),x'))', D2, R8, P[], S{x29 -> z, x30 -> +(y',y), x31 -> x'}), NR: '+(z,+(+(y',y),x'))'
ID: 38 => ('+(y',+(z,+(y,x')))', D2, R1, P[2], S{x8 -> z, x9 -> y, x10 -> x'}), NR: '+(z,+(y,x'))'
ID: 39 => ('+(y',+(y,+(z,x')))', D2, R2, P[2], S{x11 -> y, x12 -> z, x13 -> x'}), NR: '+(y,+(z,x'))'
ID: 40 => ('+(y',+(+(x',z),y))', D2, R3, P[2], S{x14 -> x', x15 -> z, x16 -> y}), NR: '+(+(x',z),y)'
ID: 41 => ('+(y',+(+(x',y),z))', D2, R4, P[2], S{x17 -> x', x18 -> y, x19 -> z}), NR: '+(+(x',y),z)'
ID: 42 => ('+(+(x',z),+(y,y'))', D2, R5, P[], S{x20 -> x', x21 -> z, x22 -> +(y,y')}), NR: '+(+(x',z),+(y,y'))'
ID: 43 => ('+(+(x',+(y,y')),z)', D2, R6, P[], S{x23 -> x', x24 -> +(y,y'), x25 -> z}), NR: '+(+(x',+(y,y')),z)'
ID: 44 => ('+(z,+(+(y,y'),x'))', D2, R7, P[], S{x26 -> z, x27 -> +(y,y'), x28 -> x'}), NR: '+(z,+(+(y,y'),x'))'
ID: 45 => ('+(+(y,y'),+(z,x'))', D2, R8, P[], S{x29 -> +(y,y'), x30 -> z, x31 -> x'}), NR: '+(+(y,y'),+(z,x'))'
ID: 46 => ('+(z,+(y,+(y',x')))', D2, R1, P[], S{x8 -> z, x9 -> y, x10 -> +(y',x')}), NR: '+(z,+(y,+(y',x')))'
ID: 47 => ('+(y,+(z,+(y',x')))', D2, R2, P[], S{x11 -> y, x12 -> z, x13 -> +(y',x')}), NR: '+(y,+(z,+(y',x')))'
ID: 48 => ('+(+(+(y',x'),z),y)', D2, R3, P[], S{x14 -> +(y',x'), x15 -> z, x16 -> y}), NR: '+(+(+(y',x'),z),y)'
ID: 49 => ('+(+(+(y',x'),y),z)', D2, R4, P[], S{x17 -> +(y',x'), x18 -> y, x19 -> z}), NR: '+(+(+(y',x'),y),z)'
ID: 50 => ('+(+(x',y),+(z,y'))', D2, R5, P[], S{x20 -> x', x21 -> y, x22 -> +(z,y')}), NR: '+(+(x',y),+(z,y'))'
ID: 51 => ('+(+(x',+(z,y')),y)', D2, R6, P[], S{x23 -> x', x24 -> +(z,y'), x25 -> y}), NR: '+(+(x',+(z,y')),y)'
ID: 52 => ('+(y,+(+(z,y'),x'))', D2, R7, P[], S{x26 -> y, x27 -> +(z,y'), x28 -> x'}), NR: '+(y,+(+(z,y'),x'))'
ID: 53 => ('+(+(z,y'),+(y,x'))', D2, R8, P[], S{x29 -> +(z,y'), x30 -> y, x31 -> x'}), NR: '+(+(z,y'),+(y,x'))'
ID: 54 => ('+(+(z,+(y,y')),x')', D3, R1, P[1], S{x8 -> z, x9 -> y, x10 -> y'}), NR: '+(z,+(y,y'))'
ID: 55 => ('+(+(y,+(z,y')),x')', D3, R2, P[1], S{x11 -> y, x12 -> z, x13 -> y'}), NR: '+(y,+(z,y'))'
ID: 56 => ('+(+(+(y',z),y),x')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> y}), NR: '+(+(y',z),y)'
ID: 57 => ('+(+(+(y',y),z),x')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> z}), NR: '+(+(y',y),z)'
ID: 58 => ('+(z,+(+(x',y'),y))', D3, R2, P[], S{x11 -> z, x12 -> +(x',y'), x13 -> y}), NR: '+(z,+(+(x',y'),y))'
ID: 59 => ('+(+(y',+(x',z)),y)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 60 => ('+(+(y,+(x',y')),z)', D3, R3, P[], S{x14 -> y, x15 -> +(x',y'), x16 -> z}), NR: '+(+(y,+(x',y')),z)'
ID: 61 => ('+(+(+(z,x'),y'),y)', D3, R3, P[1], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 62 => ('+(+(y,z),+(x',y'))', D3, R4, P[], S{x17 -> y, x18 -> z, x19 -> +(x',y')}), NR: '+(+(y,z),+(x',y'))'
ID: 63 => ('+(+(+(z,y'),x'),y)', D3, R4, P[1], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 64 => ('+(+(x',y'),+(y,z))', D3, R1, P[], S{x8 -> +(x',y'), x9 -> y, x10 -> z}), NR: '+(+(x',y'),+(y,z))'
ID: 65 => ('+(y,+(+(x',y'),z))', D3, R2, P[], S{x11 -> y, x12 -> +(x',y'), x13 -> z}), NR: '+(y,+(+(x',y'),z))'
ID: 66 => ('+(+(y',+(x',y)),z)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> y}), NR: '+(y',+(x',y))'
ID: 67 => ('+(+(z,+(x',y')),y)', D3, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> y}), NR: '+(+(z,+(x',y')),y)'
ID: 68 => ('+(+(+(y,x'),y'),z)', D3, R3, P[1], S{x14 -> y, x15 -> x', x16 -> y'}), NR: '+(+(y,x'),y')'
ID: 69 => ('+(+(+(y,y'),x'),z)', D3, R4, P[1], S{x17 -> y, x18 -> y', x19 -> x'}), NR: '+(+(y,y'),x')'
ID: 70 => ('+(z,+(+(y,x'),y'))', D3, R5, P[2], S{x20 -> y, x21 -> x', x22 -> y'}), NR: '+(+(y,x'),y')'
ID: 71 => ('+(z,+(x',+(y',y)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> y}), NR: '+(x',+(y',y))'
ID: 72 => ('+(z,+(y',+(x',y)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> y}), NR: '+(y',+(x',y))'
ID: 73 => ('+(y,+(+(z,x'),y'))', D3, R5, P[2], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 74 => ('+(y,+(x',+(y',z)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 75 => ('+(y,+(y',+(x',z)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 76 => ('+(+(x',+(y,z)),y')', D3, R5, P[], S{x20 -> x', x21 -> +(y,z), x22 -> y'}), NR: '+(+(x',+(y,z)),y')'
ID: 77 => ('+(+(y,z),+(y',x'))', D3, R7, P[], S{x26 -> +(y,z), x27 -> y', x28 -> x'}), NR: '+(+(y,z),+(y',x'))'
ID: 78 => ('+(y',+(+(y,z),x'))', D3, R8, P[], S{x29 -> y', x30 -> +(y,z), x31 -> x'}), NR: '+(y',+(+(y,z),x'))'
ID: 79 => ('+(+(y',z),+(x',y))', D3, R2, P[], S{x11 -> +(y',z), x12 -> x', x13 -> y}), NR: '+(+(y',z),+(x',y))'
ID: 80 => ('+(+(y,x'),+(y',z))', D3, R3, P[], S{x14 -> y, x15 -> x', x16 -> +(y',z)}), NR: '+(+(y,x'),+(y',z))'
ID: 81 => ('+(+(y,+(y',z)),x')', D3, R4, P[], S{x17 -> y, x18 -> +(y',z), x19 -> x'}), NR: '+(+(y,+(y',z)),x')'
ID: 82 => ('+(+(+(x',z),y'),y)', D3, R6, P[1], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 83 => ('+(+(y',+(z,x')),y)', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 84 => ('+(+(z,+(y',x')),y)', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 85 => ('+(+(+(y',z),x'),y)', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> y}), NR: '+(+(+(y',z),x'),y)'
ID: 86 => ('+(+(+(x',y),y'),z)', D3, R5, P[], S{x20 -> +(x',y), x21 -> y', x22 -> z}), NR: '+(+(+(x',y),y'),z)'
ID: 87 => ('+(y',+(z,+(x',y)))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',y)}), NR: '+(y',+(z,+(x',y)))'
ID: 88 => ('+(z,+(y',+(y,x')))', D3, R2, P[], S{x11 -> z, x12 -> y', x13 -> +(y,x')}), NR: '+(z,+(y',+(y,x')))'
ID: 89 => ('+(+(+(y,x'),z),y')', D3, R4, P[], S{x17 -> +(y,x'), x18 -> z, x19 -> y'}), NR: '+(+(+(y,x'),z),y')'
ID: 90 => ('+(y,+(y',+(z,x')))', D3, R1, P[2], S{x8 -> y', x9 -> z, x10 -> x'}), NR: '+(y',+(z,x'))'
ID: 91 => ('+(y,+(+(x',z),y'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> y'}), NR: '+(+(x',z),y')'
ID: 92 => ('+(+(z,+(x',y)),y')', D3, R2, P[1], S{x11 -> z, x12 -> x', x13 -> y}), NR: '+(z,+(x',y))'
ID: 93 => ('+(+(y',y),+(x',z))', D3, R4, P[], S{x17 -> y', x18 -> y, x19 -> +(x',z)}), NR: '+(+(y',y),+(x',z))'
ID: 94 => ('+(+(+(y,z),x'),y')', D3, R4, P[1], S{x17 -> y, x18 -> z, x19 -> x'}), NR: '+(+(y,z),x')'
ID: 95 => ('+(z,+(+(x',y),y'))', D3, R2, P[], S{x11 -> z, x12 -> +(x',y), x13 -> y'}), NR: '+(z,+(+(x',y),y'))'
ID: 96 => ('+(+(y,+(x',z)),y')', D3, R2, P[1], S{x11 -> y, x12 -> x', x13 -> z}), NR: '+(y,+(x',z))'
ID: 97 => ('+(+(+(z,x'),y),y')', D3, R3, P[1], S{x14 -> z, x15 -> x', x16 -> y}), NR: '+(+(z,x'),y)'
ID: 98 => ('+(+(y,x'),+(z,y'))', D3, R2, P[], S{x11 -> +(y,x'), x12 -> z, x13 -> y'}), NR: '+(+(y,x'),+(z,y'))'
ID: 99 => ('+(+(y',+(y,x')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(y,x'), x19 -> z}), NR: '+(+(y',+(y,x')),z)'
ID: 100 => ('+(+(z,x'),+(y,y'))', D3, R2, P[], S{x11 -> +(z,x'), x12 -> y, x13 -> y'}), NR: '+(+(z,x'),+(y,y'))'
ID: 101 => ('+(+(z,x'),+(y',y))', D3, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',y)}), NR: '+(+(z,x'),+(y',y))'
ID: 102 => ('+(+(z,+(y',y)),x')', D3, R4, P[], S{x17 -> z, x18 -> +(y',y), x19 -> x'}), NR: '+(+(z,+(y',y)),x')'
ID: 103 => ('+(+(y,+(y',x')),z)', D3, R8, P[1], S{x29 -> y, x30 -> y', x31 -> x'}), NR: '+(y,+(y',x'))'
ID: 104 => ('+(+(+(y',y),x'),z)', D3, R3, P[], S{x14 -> +(y',y), x15 -> x', x16 -> z}), NR: '+(+(+(y',y),x'),z)'
ID: 105 => ('+(y',+(y,+(x',z)))', D3, R7, P[], S{x26 -> y', x27 -> y, x28 -> +(x',z)}), NR: '+(y',+(y,+(x',z)))'
ID: 106 => ('+(y',+(+(z,x'),y))', D3, R6, P[2], S{x23 -> z, x24 -> x', x25 -> y}), NR: '+(+(z,x'),y)'
ID: 107 => ('+(y',+(x',+(y,z)))', D3, R8, P[2], S{x29 -> x', x30 -> y, x31 -> z}), NR: '+(x',+(y,z))'
ID: 108 => ('+(y',+(+(y,x'),z))', D3, R6, P[2], S{x23 -> y, x24 -> x', x25 -> z}), NR: '+(+(y,x'),z)'
ID: 109 => ('+(z,+(x',+(y,y')))', D3, R2, P[], S{x11 -> z, x12 -> x', x13 -> +(y,y')}), NR: '+(z,+(x',+(y,y')))'
ID: 110 => ('+(+(+(y,y'),z),x')', D3, R4, P[], S{x17 -> +(y,y'), x18 -> z, x19 -> x'}), NR: '+(+(+(y,y'),z),x')'
ID: 111 => ('+(+(y,y'),+(x',z))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x', x13 -> z}), NR: '+(+(y,y'),+(x',z))'
ID: 112 => ('+(y,+(+(y',x'),z))', D3, R7, P[], S{x26 -> y, x27 -> +(y',x'), x28 -> z}), NR: '+(y,+(+(y',x'),z))'
ID: 113 => ('+(+(y',x'),+(y,z))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> y, x31 -> z}), NR: '+(+(y',x'),+(y,z))'
ID: 114 => ('+(z,+(+(y',x'),y))', D3, R7, P[], S{x26 -> z, x27 -> +(y',x'), x28 -> y}), NR: '+(z,+(+(y',x'),y))'
ID: 115 => ('+(y,+(x',+(z,y')))', D3, R2, P[], S{x11 -> y, x12 -> x', x13 -> +(z,y')}), NR: '+(y,+(x',+(z,y')))'
ID: 116 => ('+(+(+(z,y'),y),x')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> y, x19 -> x'}), NR: '+(+(+(z,y'),y),x')'
ID: 117 => ('+(+(z,y'),+(x',y))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> x', x13 -> y}), NR: '+(+(z,y'),+(x',y))'
ID: 118 => ('+(+(y',+(y,z)),x')', D4, R8, P[1], S{x29 -> y', x30 -> y, x31 -> z}), NR: '+(y',+(y,z))'
ID: 119 => ('+(+(+(y,z),y'),x')', D4, R5, P[1], S{x20 -> y, x21 -> z, x22 -> y'}), NR: '+(+(y,z),y')'
t: +(+(+(x',y'),y),z)
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79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ID: 0 => ('+(+(+(x',y'),y),z)', D0)
ID: 1 => ('+(+(x',y'),+(y,z))', D1, R1, P[], S{x8 -> +(x',y'), x9 -> y, x10 -> z}), NR: '+(+(x',y'),+(y,z))'
ID: 2 => ('+(+(x',+(y',y)),z)', D1, R1, P[1], S{x8 -> x', x9 -> y', x10 -> y}), NR: '+(x',+(y',y))'
ID: 3 => ('+(y,+(+(x',y'),z))', D1, R2, P[], S{x11 -> y, x12 -> +(x',y'), x13 -> z}), NR: '+(y,+(+(x',y'),z))'
ID: 4 => ('+(+(y',+(x',y)),z)', D1, R2, P[1], S{x11 -> y', x12 -> x', x13 -> y}), NR: '+(y',+(x',y))'
ID: 5 => ('+(+(z,+(x',y')),y)', D1, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> y}), NR: '+(+(z,+(x',y')),y)'
ID: 6 => ('+(+(+(y,x'),y'),z)', D1, R3, P[1], S{x14 -> y, x15 -> x', x16 -> y'}), NR: '+(+(y,x'),y')'
ID: 7 => ('+(+(z,y),+(x',y'))', D1, R4, P[], S{x17 -> z, x18 -> y, x19 -> +(x',y')}), NR: '+(+(z,y),+(x',y'))'
ID: 8 => ('+(+(+(y,y'),x'),z)', D1, R4, P[1], S{x17 -> y, x18 -> y', x19 -> x'}), NR: '+(+(y,y'),x')'
ID: 9 => ('+(x',+(y',+(y,z)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(y,z)}), NR: '+(x',+(y',+(y,z)))'
ID: 10 => ('+(y',+(x',+(y,z)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(y,z)}), NR: '+(y',+(x',+(y,z)))'
ID: 11 => ('+(+(+(y,z),x'),y')', D2, R3, P[], S{x14 -> +(y,z), x15 -> x', x16 -> y'}), NR: '+(+(+(y,z),x'),y')'
ID: 12 => ('+(+(+(y,z),y'),x')', D2, R4, P[], S{x17 -> +(y,z), x18 -> y', x19 -> x'}), NR: '+(+(+(y,z),y'),x')'
ID: 13 => ('+(+(+(x',y'),z),y)', D2, R6, P[], S{x23 -> +(x',y'), x24 -> z, x25 -> y}), NR: '+(+(+(x',y'),z),y)'
ID: 14 => ('+(y,+(z,+(x',y')))', D2, R7, P[], S{x26 -> y, x27 -> z, x28 -> +(x',y')}), NR: '+(y,+(z,+(x',y')))'
ID: 15 => ('+(z,+(y,+(x',y')))', D2, R8, P[], S{x29 -> z, x30 -> y, x31 -> +(x',y')}), NR: '+(z,+(y,+(x',y')))'
ID: 16 => ('+(x',+(+(y',y),z))', D2, R1, P[], S{x8 -> x', x9 -> +(y',y), x10 -> z}), NR: '+(x',+(+(y',y),z))'
ID: 17 => ('+(+(y',y),+(x',z))', D2, R2, P[], S{x11 -> +(y',y), x12 -> x', x13 -> z}), NR: '+(+(y',y),+(x',z))'
ID: 18 => ('+(+(z,x'),+(y',y))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',y)}), NR: '+(+(z,x'),+(y',y))'
ID: 19 => ('+(+(z,+(y',y)),x')', D2, R4, P[], S{x17 -> z, x18 -> +(y',y), x19 -> x'}), NR: '+(+(z,+(y',y)),x')'
ID: 20 => ('+(+(+(x',y),y'),z)', D2, R6, P[1], S{x23 -> x', x24 -> y, x25 -> y'}), NR: '+(+(x',y),y')'
ID: 21 => ('+(+(y',+(y,x')),z)', D2, R7, P[1], S{x26 -> y', x27 -> y, x28 -> x'}), NR: '+(y',+(y,x'))'
ID: 22 => ('+(+(y,+(y',x')),z)', D2, R8, P[1], S{x29 -> y, x30 -> y', x31 -> x'}), NR: '+(y,+(y',x'))'
ID: 23 => ('+(y,+(x',+(y',z)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 24 => ('+(y,+(y',+(x',z)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 25 => ('+(y,+(+(z,x'),y'))', D2, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 26 => ('+(y,+(+(z,y'),x'))', D2, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 27 => ('+(+(y,+(x',y')),z)', D2, R5, P[], S{x20 -> y, x21 -> +(x',y'), x22 -> z}), NR: '+(+(y,+(x',y')),z)'
ID: 28 => ('+(+(y,z),+(x',y'))', D2, R6, P[], S{x23 -> y, x24 -> z, x25 -> +(x',y')}), NR: '+(+(y,z),+(x',y'))'
ID: 29 => ('+(+(x',y'),+(z,y))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z, x28 -> y}), NR: '+(+(x',y'),+(z,y))'
ID: 30 => ('+(z,+(+(x',y'),y))', D2, R8, P[], S{x29 -> z, x30 -> +(x',y'), x31 -> y}), NR: '+(z,+(+(x',y'),y))'
ID: 31 => ('+(y',+(+(x',y),z))', D2, R1, P[], S{x8 -> y', x9 -> +(x',y), x10 -> z}), NR: '+(y',+(+(x',y),z))'
ID: 32 => ('+(+(x',y),+(y',z))', D2, R2, P[], S{x11 -> +(x',y), x12 -> y', x13 -> z}), NR: '+(+(x',y),+(y',z))'
ID: 33 => ('+(+(z,y'),+(x',y))', D2, R3, P[], S{x14 -> z, x15 -> y', x16 -> +(x',y)}), NR: '+(+(z,y'),+(x',y))'
ID: 34 => ('+(+(z,+(x',y)),y')', D2, R4, P[], S{x17 -> z, x18 -> +(x',y), x19 -> y'}), NR: '+(+(z,+(x',y)),y')'
ID: 35 => ('+(+(+(y',x'),y),z)', D2, R5, P[1], S{x20 -> y', x21 -> x', x22 -> y}), NR: '+(+(y',x'),y)'
ID: 36 => ('+(+(+(y',y),x'),z)', D2, R6, P[1], S{x23 -> y', x24 -> y, x25 -> x'}), NR: '+(+(y',y),x')'
ID: 37 => ('+(+(x',+(y,y')),z)', D2, R7, P[1], S{x26 -> x', x27 -> y, x28 -> y'}), NR: '+(x',+(y,y'))'
ID: 38 => ('+(+(+(z,x'),y'),y)', D2, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 39 => ('+(+(+(z,y'),x'),y)', D2, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 40 => ('+(+(x',+(y',z)),y)', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 41 => ('+(+(y',+(x',z)),y)', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 42 => ('+(+(y,x'),+(y',z))', D2, R1, P[], S{x8 -> +(y,x'), x9 -> y', x10 -> z}), NR: '+(+(y,x'),+(y',z))'
ID: 43 => ('+(y',+(+(y,x'),z))', D2, R2, P[], S{x11 -> y', x12 -> +(y,x'), x13 -> z}), NR: '+(y',+(+(y,x'),z))'
ID: 44 => ('+(+(z,+(y,x')),y')', D2, R3, P[], S{x14 -> z, x15 -> +(y,x'), x16 -> y'}), NR: '+(+(z,+(y,x')),y')'
ID: 45 => ('+(+(z,y'),+(y,x'))', D2, R4, P[], S{x17 -> z, x18 -> y', x19 -> +(y,x')}), NR: '+(+(z,y'),+(y,x'))'
ID: 46 => ('+(+(+(z,y),x'),y')', D2, R5, P[], S{x20 -> +(z,y), x21 -> x', x22 -> y'}), NR: '+(+(+(z,y),x'),y')'
ID: 47 => ('+(+(+(z,y),y'),x')', D2, R6, P[], S{x23 -> +(z,y), x24 -> y', x25 -> x'}), NR: '+(+(+(z,y),y'),x')'
ID: 48 => ('+(x',+(y',+(z,y)))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,y)}), NR: '+(x',+(y',+(z,y)))'
ID: 49 => ('+(y',+(x',+(z,y)))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z,y)}), NR: '+(y',+(x',+(z,y)))'
ID: 50 => ('+(+(y,y'),+(x',z))', D2, R1, P[], S{x8 -> +(y,y'), x9 -> x', x10 -> z}), NR: '+(+(y,y'),+(x',z))'
ID: 51 => ('+(x',+(+(y,y'),z))', D2, R2, P[], S{x11 -> x', x12 -> +(y,y'), x13 -> z}), NR: '+(x',+(+(y,y'),z))'
ID: 52 => ('+(+(z,+(y,y')),x')', D2, R3, P[], S{x14 -> z, x15 -> +(y,y'), x16 -> x'}), NR: '+(+(z,+(y,y')),x')'
ID: 53 => ('+(+(z,x'),+(y,y'))', D2, R4, P[], S{x17 -> z, x18 -> x', x19 -> +(y,y')}), NR: '+(+(z,x'),+(y,y'))'
ID: 54 => ('+(+(x',+(y,z)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(y,z), x25 -> y'}), NR: '+(+(x',+(y,z)),y')'
ID: 55 => ('+(x',+(+(y',z),y))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> y}), NR: '+(+(y',z),y)'
ID: 56 => ('+(y',+(+(y,z),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,z), x28 -> x'}), NR: '+(y',+(+(y,z),x'))'
ID: 57 => ('+(x',+(y,+(z,y')))', D3, R7, P[2], S{x26 -> y, x27 -> z, x28 -> y'}), NR: '+(y,+(z,y'))'
ID: 58 => ('+(+(y,z),+(y',x'))', D3, R8, P[], S{x29 -> +(y,z), x30 -> y', x31 -> x'}), NR: '+(+(y,z),+(y',x'))'
ID: 59 => ('+(x',+(z,+(y,y')))', D3, R8, P[2], S{x29 -> z, x30 -> y, x31 -> y'}), NR: '+(z,+(y,y'))'
ID: 60 => ('+(+(y',x'),+(y,z))', D3, R5, P[], S{x20 -> y', x21 -> x', x22 -> +(y,z)}), NR: '+(+(y',x'),+(y,z))'
ID: 61 => ('+(+(y',+(y,z)),x')', D3, R6, P[], S{x23 -> y', x24 -> +(y,z), x25 -> x'}), NR: '+(+(y',+(y,z)),x')'
ID: 62 => ('+(y',+(+(x',z),y))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y}), NR: '+(+(x',z),y)'
ID: 63 => ('+(x',+(+(y,z),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(y,z), x28 -> y'}), NR: '+(x',+(+(y,z),y'))'
ID: 64 => ('+(y',+(y,+(z,x')))', D3, R7, P[2], S{x26 -> y, x27 -> z, x28 -> x'}), NR: '+(y,+(z,x'))'
ID: 65 => ('+(y',+(z,+(y,x')))', D3, R8, P[2], S{x29 -> z, x30 -> y, x31 -> x'}), NR: '+(z,+(y,x'))'
ID: 66 => ('+(+(y,+(z,x')),y')', D3, R1, P[1], S{x8 -> y, x9 -> z, x10 -> x'}), NR: '+(y,+(z,x'))'
ID: 67 => ('+(+(+(x',y),z),y')', D3, R3, P[1], S{x14 -> x', x15 -> y, x16 -> z}), NR: '+(+(x',y),z)'
ID: 68 => ('+(+(+(x',z),y),y')', D3, R4, P[1], S{x17 -> x', x18 -> z, x19 -> y}), NR: '+(+(x',z),y)'
ID: 69 => ('+(+(y,+(z,y')),x')', D3, R1, P[1], S{x8 -> y, x9 -> z, x10 -> y'}), NR: '+(y,+(z,y'))'
ID: 70 => ('+(+(+(y',y),z),x')', D3, R3, P[1], S{x14 -> y', x15 -> y, x16 -> z}), NR: '+(+(y',y),z)'
ID: 71 => ('+(+(+(y',z),y),x')', D3, R4, P[1], S{x17 -> y', x18 -> z, x19 -> y}), NR: '+(+(y',z),y)'
ID: 72 => ('+(z,+(+(y,x'),y'))', D3, R5, P[2], S{x20 -> y, x21 -> x', x22 -> y'}), NR: '+(+(y,x'),y')'
ID: 73 => ('+(z,+(+(y,y'),x'))', D3, R6, P[2], S{x23 -> y, x24 -> y', x25 -> x'}), NR: '+(+(y,y'),x')'
ID: 74 => ('+(z,+(x',+(y',y)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> y}), NR: '+(x',+(y',y))'
ID: 75 => ('+(z,+(y',+(x',y)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> y}), NR: '+(y',+(x',y))'
ID: 76 => ('+(x',+(y,+(y',z)))', D3, R2, P[2], S{x11 -> y, x12 -> y', x13 -> z}), NR: '+(y,+(y',z))'
ID: 77 => ('+(x',+(+(z,y'),y))', D3, R3, P[2], S{x14 -> z, x15 -> y', x16 -> y}), NR: '+(+(z,y'),y)'
ID: 78 => ('+(x',+(+(z,y),y'))', D3, R4, P[2], S{x17 -> z, x18 -> y, x19 -> y'}), NR: '+(+(z,y),y')'
ID: 79 => ('+(+(x',z),+(y',y))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',y)}), NR: '+(+(x',z),+(y',y))'
ID: 80 => ('+(+(y',y),+(z,x'))', D3, R7, P[], S{x26 -> +(y',y), x27 -> z, x28 -> x'}), NR: '+(+(y',y),+(z,x'))'
ID: 81 => ('+(z,+(+(y',y),x'))', D3, R8, P[], S{x29 -> z, x30 -> +(y',y), x31 -> x'}), NR: '+(z,+(+(y',y),x'))'
ID: 82 => ('+(y',+(y,+(x',z)))', D3, R1, P[], S{x8 -> y', x9 -> y, x10 -> +(x',z)}), NR: '+(y',+(y,+(x',z)))'
ID: 83 => ('+(+(+(x',z),y'),y)', D3, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> y}), NR: '+(+(+(x',z),y'),y)'
ID: 84 => ('+(x',+(z,+(y',y)))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(y',y)}), NR: '+(x',+(z,+(y',y)))'
ID: 85 => ('+(+(+(z,x'),y),y')', D3, R6, P[], S{x23 -> +(z,x'), x24 -> y, x25 -> y'}), NR: '+(+(+(z,x'),y),y')'
ID: 86 => ('+(y,+(y',+(z,x')))', D3, R8, P[], S{x29 -> y, x30 -> y', x31 -> +(z,x')}), NR: '+(y,+(y',+(z,x')))'
ID: 87 => ('+(+(+(z,y'),y),x')', D3, R5, P[1], S{x20 -> z, x21 -> y', x22 -> y}), NR: '+(+(z,y'),y)'
ID: 88 => ('+(+(y,+(y',z)),x')', D3, R8, P[1], S{x29 -> y, x30 -> y', x31 -> z}), NR: '+(y,+(y',z))'
ID: 89 => ('+(y,+(+(y',x'),z))', D3, R1, P[], S{x8 -> y, x9 -> +(y',x'), x10 -> z}), NR: '+(y,+(+(y',x'),z))'
ID: 90 => ('+(+(z,y),+(y',x'))', D3, R3, P[], S{x14 -> z, x15 -> y, x16 -> +(y',x')}), NR: '+(+(z,y),+(y',x'))'
ID: 91 => ('+(+(z,+(y',x')),y)', D3, R4, P[], S{x17 -> z, x18 -> +(y',x'), x19 -> y}), NR: '+(+(z,+(y',x')),y)'
ID: 92 => ('+(y,+(+(x',z),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 93 => ('+(+(y',z),+(x',y))', D3, R8, P[], S{x29 -> +(y',z), x30 -> x', x31 -> y}), NR: '+(+(y',z),+(x',y))'
ID: 94 => ('+(y,+(z,+(y',x')))', D3, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 95 => ('+(+(y,+(x',z)),y')', D3, R6, P[], S{x23 -> y, x24 -> +(x',z), x25 -> y'}), NR: '+(+(y,+(x',z)),y')'
ID: 96 => ('+(y,+(+(y',z),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 97 => ('+(y,+(x',+(z,y')))', D3, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 98 => ('+(+(y,y'),+(z,x'))', D3, R6, P[], S{x23 -> y, x24 -> y', x25 -> +(z,x')}), NR: '+(+(y,y'),+(z,x'))'
ID: 99 => ('+(y',+(+(z,x'),y))', D3, R8, P[], S{x29 -> y', x30 -> +(z,x'), x31 -> y}), NR: '+(y',+(+(z,x'),y))'
ID: 100 => ('+(+(y,x'),+(z,y'))', D3, R6, P[], S{x23 -> y, x24 -> x', x25 -> +(z,y')}), NR: '+(+(y,x'),+(z,y'))'
ID: 101 => ('+(y',+(+(z,y),x'))', D3, R4, P[2], S{x17 -> z, x18 -> y, x19 -> x'}), NR: '+(+(z,y),x')'
ID: 102 => ('+(+(x',y),+(z,y'))', D3, R7, P[], S{x26 -> +(x',y), x27 -> z, x28 -> y'}), NR: '+(+(x',y),+(z,y'))'
ID: 103 => ('+(z,+(+(x',y),y'))', D3, R8, P[], S{x29 -> z, x30 -> +(x',y), x31 -> y'}), NR: '+(z,+(+(x',y),y'))'
ID: 104 => ('+(+(+(y',z),x'),y)', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> y}), NR: '+(+(+(y',z),x'),y)'
ID: 105 => ('+(y',+(z,+(x',y)))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',y)}), NR: '+(y',+(z,+(x',y)))'
ID: 106 => ('+(+(x',+(z,y')),y)', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 107 => ('+(+(+(y',x'),z),y)', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 108 => ('+(+(y',+(z,x')),y)', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> x'}), NR: '+(y',+(z,x'))'
ID: 109 => ('+(+(+(y,x'),z),y')', D3, R6, P[], S{x23 -> +(y,x'), x24 -> z, x25 -> y'}), NR: '+(+(+(y,x'),z),y')'
ID: 110 => ('+(z,+(y',+(y,x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(y,x')}), NR: '+(z,+(y',+(y,x')))'
ID: 111 => ('+(+(y',z),+(y,x'))', D3, R6, P[], S{x23 -> y', x24 -> z, x25 -> +(y,x')}), NR: '+(+(y',z),+(y,x'))'
ID: 112 => ('+(+(y',+(z,y)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z,y), x16 -> x'}), NR: '+(+(y',+(z,y)),x')'
ID: 113 => ('+(+(y',x'),+(z,y))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z,y)}), NR: '+(+(y',x'),+(z,y))'
ID: 114 => ('+(+(x',+(z,y)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z,y), x16 -> y'}), NR: '+(+(x',+(z,y)),y')'
ID: 115 => ('+(+(+(y,y'),z),x')', D3, R6, P[], S{x23 -> +(y,y'), x24 -> z, x25 -> x'}), NR: '+(+(+(y,y'),z),x')'
ID: 116 => ('+(z,+(x',+(y,y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(y,y')}), NR: '+(z,+(x',+(y,y')))'
ID: 117 => ('+(+(x',z),+(y,y'))', D3, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y,y')}), NR: '+(+(x',z),+(y,y'))'
ID: 118 => ('+(z,+(y,+(y',x')))', D4, R2, P[], S{x11 -> z, x12 -> y, x13 -> +(y',x')}), NR: '+(z,+(y,+(y',x')))'
ID: 119 => ('+(z,+(+(y',x'),y))', D4, R4, P[2], S{x17 -> y', x18 -> x', x19 -> y}), NR: '+(+(y',x'),y)'
SNodesPath1: +(x',+(y',+(z,y)))
TNodesPath1: +(+(+(x',y'),y),z) -> +(+(x',y'),+(y,z)) -> +(x',+(y',+(y,z))) -> +(x',+(+(y',y),z)) -> +(+(x',+(y',y)),z) -> +(+(y',y),+(x',z)) -> +(y,+(y',+(x',z))) -> +(y,+(z,+(x',y'))) -> +(y,+(x',+(y',z))) -> +(y,+(+(x',y'),z)) -> +(y,+(+(z,x'),y')) -> +(+(z,x'),+(y',y)) -> +(+(+(y',y),x'),z) -> +(+(z,+(y',y)),x') -> +(+(+(z,y),y'),x') -> +(+(x',y'),+(z,y)) -> +(+(+(x',y'),z),y) -> +(+(y,+(x',y')),z) -> +(+(y',+(x',y)),z) -> +(y',+(+(x',y),z)) -> +(y',+(x',+(y,z))) -> +(+(y,z),+(x',y')) -> +(+(+(y,z),x'),y') -> +(+(z,+(y,x')),y') -> +(+(y',+(y,x')),z) -> +(+(+(y',x'),y),z) -> +(+(+(y,x'),y'),z) -> +(+(x',+(y,y')),z) -> +(+(+(x',y),y'),z) -> +(+(x',y),+(y',z)) -> +(+(+(x',y),z),y') -> +(+(+(z,y),x'),y') -> +(+(z,y),+(x',y')) -> +(z,+(y,+(x',y'))) -> +(+(z,+(x',y')),y) -> +(z,+(+(x',y'),y)) -> +(z,+(+(y,x'),y')) -> +(+(y,x'),+(y',z)) -> +(y',+(z,+(y,x'))) -> +(y',+(y,+(x',z))) -> +(+(y',+(x',z)),y) -> +(+(y,y'),+(x',z)) -> +(+(+(y,y'),x'),z) -> +(+(y,+(y',x')),z) -> +(+(y',x'),+(y,z)) -> +(+(+(y,z),y'),x') -> +(+(z,+(y,y')),x') -> +(+(y',+(y,z)),x') -> +(+(x',+(y,z)),y') -> +(x',+(+(y,z),y')) -> +(x',+(+(y',z),y)) -> +(+(x',+(y',z)),y) -> +(+(+(x',z),y'),y) -> +(y',+(+(x',z),y)) -> +(y',+(+(y,x'),z)) -> +(y',+(+(z,x'),y)) -> +(y',+(x',+(z,y))) -> +(y',+(y,+(z,x'))) -> +(+(z,x'),+(y,y')) -> +(+(+(z,x'),y'),y) -> +(+(y,+(z,x')),y') -> +(+(z,+(x',y)),y') -> +(+(+(z,x'),y),y') -> +(+(y',y),+(z,x')) -> +(+(+(y',y),z),x') -> +(+(x',z),+(y',y)) -> +(+(+(x',z),y),y') -> +(y,+(+(x',z),y')) -> +(y,+(+(y',x'),z)) -> +(y,+(+(z,y'),x')) -> +(+(z,y'),+(x',y)) -> +(+(+(z,y'),x'),y) -> +(+(y,+(z,y')),x') -> +(+(z,y'),+(y,x')) -> +(x',+(y,+(z,y'))) -> +(x',+(y',+(z,y)))
SNodesPath2: +(x',+(y',+(z,y))) -> +(+(x',y'),+(z,y)) -> +(y',+(x',+(z,y))) -> +(x',+(+(z,y),y')) -> +(x',+(+(y',z),y)) -> +(x',+(z,+(y',y))) -> +(x',+(y',+(y,z))) -> +(x',+(+(y',y),z)) -> +(x',+(y,+(y',z))) -> +(x',+(+(y,y'),z)) -> +(x',+(+(z,y'),y)) -> +(x',+(+(y,z),y')) -> +(x',+(z,+(y,y'))) -> +(+(x',z),+(y,y')) -> +(+(+(x',z),y),y') -> +(+(x',+(z,y)),y') -> +(+(z,y),+(x',y')) -> +(+(+(z,y),x'),y') -> +(+(y',x'),+(z,y)) -> +(+(+(z,y),y'),x') -> +(y',+(+(z,y),x')) -> +(+(y',+(z,y)),x') -> +(+(z,y),+(y',x')) -> +(z,+(y,+(y',x'))) -> +(z,+(+(y,y'),x')) -> +(+(z,+(y,y')),x') -> +(+(x',+(y,y')),z) -> +(+(+(x',y'),y),z)
TNodesPath2: +(+(+(x',y'),y),z)
+(x',+(y',+(z,y))) ->= +(x',+(y',+(z,y))) *<- +(+(+(x',y'),y),z)
+(+(+(x',y'),y),z) ->= +(+(+(x',y'),y),z) *<- +(x',+(y',+(z,y)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.12: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(x',+(y',z'))),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N39
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(x',+(y',z')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(79,28),(79,32),(79,56),(79,72),(79,74),(79,85),(79,86),(79,87),(80,32),(80,38),(80,56),(80,68),(80,74),(80,85),(80,88),(80,89),(81,19),(81,20),(81,21),(81,22),(81,26),(81,102),(81,110),(81,119),(82,35),(82,40),(82,48),(82,51),(82,67),(82,85),(82,96),(82,111),(83,30),(83,45),(83,48),(83,51),(83,67),(83,85),(83,101),(83,106),(84,19),(84,25),(84,59),(84,61),(84,63),(84,77),(84,103),(84,114),(85,2),(85,12),(85,79),(85,80),(85,81),(85,82),(85,83),(85,84),(86,20),(86,41),(86,43),(86,49),(86,60),(86,92),(86,104),(86,117),(87,5),(87,50),(87,66),(87,79),(87,95),(87,105),(87,106),(87,107),(88,14),(88,29),(88,37),(88,53),(88,80),(88,108),(88,109),(88,114),(89,10),(89,21),(89,70),(89,76),(89,96),(89,97),(89,98),(89,99),(90,15),(90,22),(90,30),(90,45),(90,101),(90,106),(90,112),(90,115),(91,15),(91,22),(91,35),(91,40),(91,96),(91,111),(91,112),(91,115),(92,10),(92,50),(92,66),(92,76),(92,79),(92,95),(92,96),(92,97),(93,16),(93,27),(93,57),(93,71),(93,75),(93,82),(93,104),(93,105),(94,18),(94,27),(94,28),(94,29),(94,30),(94,62),(94,113),(94,118),(95,14),(95,20),(95,37),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,59),(96,89),(96,91),(96,92),(96,93),(96,94),(97,3),(97,36),(97,73),(97,83),(97,89),(97,92),(97,94),(97,100),(98,8),(98,38),(98,63),(98,68),(98,88),(98,89),(98,115),(98,116),(99,29),(99,43),(99,49),(99,53),(99,60),(99,80),(99,104),(99,108),(100,6),(100,39),(100,61),(100,69),(100,90),(100,97),(100,109),(100,110),(101,16),(101,39),(101,57),(101,61),(101,71),(101,90),(101,97),(101,104),(102,11),(102,34),(102,35),(102,36),(102,37),(102,81),(102,116),(102,118),(103,7),(103,34),(103,66),(103,68),(103,69),(103,84),(103,112),(103,113),(104,4),(104,13),(104,86),(104,93),(104,99),(104,101),(104,102),(104,103),(105,9),(105,42),(105,59),(105,78),(105,87),(105,91),(105,93),(105,108),(106,9),(106,36),(106,73),(106,78),(106,83),(106,87),(106,100),(106,108),(107,18),(107,38),(107,39),(107,40),(107,41),(107,62),(107,113),(107,118),(108,5),(108,21),(108,70),(108,98),(108,99),(108,105),(108,106),(108,107),(109,17),(109,46),(109,54),(109,58),(109,88),(109,95),(109,100),(109,111),(110,11),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,118),(111,6),(111,27),(111,69),(111,75),(111,82),(111,105),(111,109),(111,110),(112,25),(112,52),(112,73),(112,74),(112,75),(112,77),(112,103),(112,114),(113,31),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,119),(114,7),(114,44),(114,70),(114,71),(114,72),(114,84),(114,112),(114,113),(115,33),(115,47),(115,55),(115,65),(115,90),(115,91),(115,98),(115,117),(116,26),(116,50),(116,51),(116,52),(116,53),(116,102),(116,110),(116,119),(117,8),(117,28),(117,63),(117,72),(117,86),(117,87),(117,115),(117,116),(118,54),(118,55),(118,56),(118,57),(118,64),(118,76),(118,77),(118,78),(119,54),(119,55),(119,56),(119,57),(119,64),(119,76),(119,77),(119,78)]
ID: 0 => ('+(z,+(x',+(y',z')))', D0)
ID: 1 => ('+(+(z,x'),+(y',z'))', D1, R5, P[], S{x20 -> z, x21 -> x', x22 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 2 => ('+(z,+(+(x',y'),z'))', D1, R5, P[2], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 3 => ('+(+(z,+(y',z')),x')', D1, R6, P[], S{x23 -> z, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 4 => ('+(z,+(+(x',z'),y'))', D1, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 5 => ('+(x',+(+(y',z'),z))', D1, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 6 => ('+(z,+(y',+(z',x')))', D1, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 7 => ('+(+(y',z'),+(x',z))', D1, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 8 => ('+(z,+(z',+(y',x')))', D1, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 9 => ('+(x',+(z,+(y',z')))', D2, R2, P[], S{x11 -> x', x12 -> z, x13 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 10 => ('+(+(+(y',z'),z),x')', D2, R3, P[], S{x14 -> +(y',z'), x15 -> z, x16 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 11 => ('+(+(+(y',z'),x'),z)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 12 => ('+(+(+(z,x'),y'),z')', D2, R5, P[], S{x20 -> +(z,x'), x21 -> y', x22 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 13 => ('+(+(+(z,x'),z'),y')', D2, R6, P[], S{x23 -> +(z,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 14 => ('+(y',+(z',+(z,x')))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 15 => ('+(z',+(y',+(z,x')))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 16 => ('+(z,+(y',+(x',z')))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 17 => ('+(z,+(+(z',x'),y'))', D2, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 18 => ('+(z,+(+(z',y'),x'))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 19 => ('+(+(z,+(x',y')),z')', D2, R5, P[], S{x20 -> z, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 20 => ('+(+(z,z'),+(x',y'))', D2, R6, P[], S{x23 -> z, x24 -> z', x25 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 21 => ('+(+(x',y'),+(z',z))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 22 => ('+(z',+(+(x',y'),z))', D2, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> z}), NR: '+(z',+(+(x',y'),z))'
ID: 23 => ('+(z,+(+(y',z'),x'))', D2, R1, P[], S{x8 -> z, x9 -> +(y',z'), x10 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 24 => ('+(+(y',z'),+(z,x'))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> z, x13 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 25 => ('+(+(x',z),+(y',z'))', D2, R3, P[], S{x14 -> x', x15 -> z, x16 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 26 => ('+(+(x',+(y',z')),z)', D2, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> z}), NR: '+(+(x',+(y',z')),z)'
ID: 27 => ('+(+(+(z,y'),z'),x')', D2, R5, P[1], S{x20 -> z, x21 -> y', x22 -> z'}), NR: '+(+(z,y'),z')'
ID: 28 => ('+(+(+(z,z'),y'),x')', D2, R6, P[1], S{x23 -> z, x24 -> z', x25 -> y'}), NR: '+(+(z,z'),y')'
ID: 29 => ('+(+(y',+(z',z)),x')', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> z}), NR: '+(y',+(z',z))'
ID: 30 => ('+(+(z',+(y',z)),x')', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> z}), NR: '+(z',+(y',z))'
ID: 31 => ('+(z,+(x',+(z',y')))', D2, R1, P[2], S{x8 -> x', x9 -> z', x10 -> y'}), NR: '+(x',+(z',y'))'
ID: 32 => ('+(z,+(z',+(x',y')))', D2, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 33 => ('+(z,+(+(y',x'),z'))', D2, R3, P[2], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 34 => ('+(+(z,+(x',z')),y')', D2, R5, P[], S{x20 -> z, x21 -> +(x',z'), x22 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 35 => ('+(+(z,y'),+(x',z'))', D2, R6, P[], S{x23 -> z, x24 -> y', x25 -> +(x',z')}), NR: '+(+(z,y'),+(x',z'))'
ID: 36 => ('+(+(x',z'),+(y',z))', D2, R7, P[], S{x26 -> +(x',z'), x27 -> y', x28 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 37 => ('+(y',+(+(x',z'),z))', D2, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 38 => ('+(x',+(y',+(z',z)))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> z}), NR: '+(y',+(z',z))'
ID: 39 => ('+(x',+(z',+(y',z)))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 40 => ('+(x',+(+(z,y'),z'))', D2, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 41 => ('+(x',+(+(z,z'),y'))', D2, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 42 => ('+(+(z,y'),+(z',x'))', D2, R5, P[], S{x20 -> z, x21 -> y', x22 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 43 => ('+(+(z,+(z',x')),y')', D2, R6, P[], S{x23 -> z, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 44 => ('+(y',+(+(z',x'),z))', D2, R7, P[], S{x26 -> y', x27 -> +(z',x'), x28 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 45 => ('+(+(z',x'),+(y',z))', D2, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> z}), NR: '+(+(z',x'),+(y',z))'
ID: 46 => ('+(y',+(z',+(x',z)))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 47 => ('+(z',+(y',+(x',z)))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x',z)}), NR: '+(z',+(y',+(x',z)))'
ID: 48 => ('+(+(+(x',z),y'),z')', D2, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 49 => ('+(+(+(x',z),z'),y')', D2, R4, P[], S{x17 -> +(x',z), x18 -> z', x19 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 50 => ('+(+(z,z'),+(y',x'))', D2, R5, P[], S{x20 -> z, x21 -> z', x22 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 51 => ('+(+(z,+(y',x')),z')', D2, R6, P[], S{x23 -> z, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 52 => ('+(z',+(+(y',x'),z))', D2, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 53 => ('+(+(y',x'),+(z',z))', D2, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> z}), NR: '+(+(y',x'),+(z',z))'
ID: 54 => ('+(+(y',+(z',x')),z)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 55 => ('+(+(z',+(y',x')),z)', D3, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 56 => ('+(+(+(x',y'),z'),z)', D3, R3, P[1], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 57 => ('+(+(+(x',z'),y'),z)', D3, R4, P[1], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 58 => ('+(y',+(+(z,x'),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(z,x'), x13 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 59 => ('+(+(x',+(z,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 60 => ('+(+(z',+(z,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(z,x'), x16 -> y'}), NR: '+(+(z',+(z,x')),y')'
ID: 61 => ('+(+(+(y',z),x'),z')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> x'}), NR: '+(+(y',z),x')'
ID: 62 => ('+(+(z',y'),+(z,x'))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 63 => ('+(+(+(y',x'),z),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 64 => ('+(+(z,x'),+(z',y'))', D3, R1, P[], S{x8 -> +(z,x'), x9 -> z', x10 -> y'}), NR: '+(+(z,x'),+(z',y'))'
ID: 65 => ('+(z',+(+(z,x'),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(z,x'), x13 -> y'}), NR: '+(z',+(+(z,x'),y'))'
ID: 66 => ('+(+(x',+(z,z')),y')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> z'}), NR: '+(x',+(z,z'))'
ID: 67 => ('+(+(y',+(z,x')),z')', D3, R3, P[], S{x14 -> y', x15 -> +(z,x'), x16 -> z'}), NR: '+(+(y',+(z,x')),z')'
ID: 68 => ('+(+(+(z',z),x'),y')', D3, R3, P[1], S{x14 -> z', x15 -> z, x16 -> x'}), NR: '+(+(z',z),x')'
ID: 69 => ('+(+(+(z',x'),z),y')', D3, R4, P[1], S{x17 -> z', x18 -> x', x19 -> z}), NR: '+(+(z',x'),z)'
ID: 70 => ('+(y',+(+(z',z),x'))', D3, R5, P[2], S{x20 -> z', x21 -> z, x22 -> x'}), NR: '+(+(z',z),x')'
ID: 71 => ('+(y',+(z,+(x',z')))', D3, R7, P[2], S{x26 -> z, x27 -> x', x28 -> z'}), NR: '+(z,+(x',z'))'
ID: 72 => ('+(y',+(x',+(z,z')))', D3, R8, P[2], S{x29 -> x', x30 -> z, x31 -> z'}), NR: '+(x',+(z,z'))'
ID: 73 => ('+(z',+(+(y',z),x'))', D3, R5, P[2], S{x20 -> y', x21 -> z, x22 -> x'}), NR: '+(+(y',z),x')'
ID: 74 => ('+(z',+(z,+(x',y')))', D3, R7, P[2], S{x26 -> z, x27 -> x', x28 -> y'}), NR: '+(z,+(x',y'))'
ID: 75 => ('+(z',+(x',+(z,y')))', D3, R8, P[2], S{x29 -> x', x30 -> z, x31 -> y'}), NR: '+(x',+(z,y'))'
ID: 76 => ('+(+(z,+(z',y')),x')', D3, R5, P[], S{x20 -> z, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 77 => ('+(+(z',y'),+(x',z))', D3, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 78 => ('+(x',+(+(z',y'),z))', D3, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 79 => ('+(+(x',y'),+(z,z'))', D3, R2, P[], S{x11 -> +(x',y'), x12 -> z, x13 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 80 => ('+(+(z',z),+(x',y'))', D3, R3, P[], S{x14 -> z', x15 -> z, x16 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 81 => ('+(+(z',+(x',y')),z)', D3, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 82 => ('+(+(+(z,y'),x'),z')', D3, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 83 => ('+(+(x',+(y',z)),z')', D3, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 84 => ('+(+(y',+(x',z)),z')', D3, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 85 => ('+(+(+(x',y'),z),z')', D3, R3, P[], S{x14 -> +(x',y'), x15 -> z, x16 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 86 => ('+(+(+(z,z'),x'),y')', D3, R5, P[], S{x20 -> +(z,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 87 => ('+(x',+(y',+(z,z')))', D3, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 88 => ('+(y',+(x',+(z',z)))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 89 => ('+(+(+(z',z),y'),x')', D3, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 90 => ('+(z',+(x',+(y',z)))', D3, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 91 => ('+(z',+(+(z,y'),x'))', D3, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 92 => ('+(+(y',+(z,z')),x')', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> z'}), NR: '+(y',+(z,z'))'
ID: 93 => ('+(+(x',z'),+(z,y'))', D3, R4, P[], S{x17 -> x', x18 -> z', x19 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 94 => ('+(+(+(z',y'),z),x')', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> z}), NR: '+(+(z',y'),z)'
ID: 95 => ('+(y',+(+(z,z'),x'))', D3, R2, P[], S{x11 -> y', x12 -> +(z,z'), x13 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 96 => ('+(+(z',+(z,y')),x')', D3, R2, P[1], S{x11 -> z', x12 -> z, x13 -> y'}), NR: '+(z',+(z,y'))'
ID: 97 => ('+(+(+(y',z),z'),x')', D3, R3, P[1], S{x14 -> y', x15 -> z, x16 -> z'}), NR: '+(+(y',z),z')'
ID: 98 => ('+(+(z',z),+(y',x'))', D3, R2, P[], S{x11 -> +(z',z), x12 -> y', x13 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 99 => ('+(+(x',+(z',z)),y')', D3, R4, P[], S{x17 -> x', x18 -> +(z',z), x19 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 100 => ('+(+(y',z),+(z',x'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> z', x13 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 101 => ('+(+(y',z),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> z, x16 -> +(x',z')}), NR: '+(+(y',z),+(x',z'))'
ID: 102 => ('+(+(y',+(x',z')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> z}), NR: '+(+(y',+(x',z')),z)'
ID: 103 => ('+(+(z',+(x',z)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> z}), NR: '+(z',+(x',z))'
ID: 104 => ('+(+(+(x',z'),z),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> z, x16 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 105 => ('+(x',+(z',+(z,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(z,y')}), NR: '+(x',+(z',+(z,y')))'
ID: 106 => ('+(x',+(+(y',z),z'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 107 => ('+(x',+(z,+(z',y')))', D3, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 108 => ('+(x',+(+(z',z),y'))', D3, R6, P[2], S{x23 -> z', x24 -> z, x25 -> y'}), NR: '+(+(z',z),y')'
ID: 109 => ('+(y',+(z,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> z, x13 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 110 => ('+(+(+(z',x'),y'),z)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> z}), NR: '+(+(+(z',x'),y'),z)'
ID: 111 => ('+(+(z',x'),+(z,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> z, x13 -> y'}), NR: '+(+(z',x'),+(z,y'))'
ID: 112 => ('+(z',+(+(x',z),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(x',z), x28 -> y'}), NR: '+(z',+(+(x',z),y'))'
ID: 113 => ('+(+(x',z),+(z',y'))', D3, R8, P[], S{x29 -> +(x',z), x30 -> z', x31 -> y'}), NR: '+(+(x',z),+(z',y'))'
ID: 114 => ('+(y',+(+(x',z),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(x',z), x28 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 115 => ('+(z',+(z,+(y',x')))', D3, R2, P[], S{x11 -> z', x12 -> z, x13 -> +(y',x')}), NR: '+(z',+(z,+(y',x')))'
ID: 116 => ('+(+(+(y',x'),z'),z)', D3, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> z}), NR: '+(+(+(y',x'),z'),z)'
ID: 117 => ('+(+(y',x'),+(z,z'))', D3, R2, P[], S{x11 -> +(y',x'), x12 -> z, x13 -> z'}), NR: '+(+(y',x'),+(z,z'))'
ID: 118 => ('+(+(x',+(z',y')),z)', D4, R8, P[1], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 119 => ('+(+(+(z',y'),x'),z)', D4, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
t: +(z',+(+(y',x'),z))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(z',+(+(y',x'),z))', D0)
ID: 1 => ('+(z',+(y',+(x',z)))', D1, R1, P[2], S{x8 -> y', x9 -> x', x10 -> z}), NR: '+(y',+(x',z))'
ID: 2 => ('+(z',+(x',+(y',z)))', D1, R2, P[2], S{x11 -> x', x12 -> y', x13 -> z}), NR: '+(x',+(y',z))'
ID: 3 => ('+(z',+(+(z,y'),x'))', D1, R3, P[2], S{x14 -> z, x15 -> y', x16 -> x'}), NR: '+(+(z,y'),x')'
ID: 4 => ('+(z',+(+(z,x'),y'))', D1, R4, P[2], S{x17 -> z, x18 -> x', x19 -> y'}), NR: '+(+(z,x'),y')'
ID: 5 => ('+(+(z',+(y',x')),z)', D1, R5, P[], S{x20 -> z', x21 -> +(y',x'), x22 -> z}), NR: '+(+(z',+(y',x')),z)'
ID: 6 => ('+(+(z',z),+(y',x'))', D1, R6, P[], S{x23 -> z', x24 -> z, x25 -> +(y',x')}), NR: '+(+(z',z),+(y',x'))'
ID: 7 => ('+(+(y',x'),+(z,z'))', D1, R7, P[], S{x26 -> +(y',x'), x27 -> z, x28 -> z'}), NR: '+(+(y',x'),+(z,z'))'
ID: 8 => ('+(z,+(+(y',x'),z'))', D1, R8, P[], S{x29 -> z, x30 -> +(y',x'), x31 -> z'}), NR: '+(z,+(+(y',x'),z'))'
ID: 9 => ('+(+(z',y'),+(x',z))', D2, R5, P[], S{x20 -> z', x21 -> y', x22 -> +(x',z)}), NR: '+(+(z',y'),+(x',z))'
ID: 10 => ('+(+(z',+(x',z)),y')', D2, R6, P[], S{x23 -> z', x24 -> +(x',z), x25 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 11 => ('+(z',+(+(y',z),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 12 => ('+(y',+(+(x',z),z'))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z), x28 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 13 => ('+(z',+(x',+(z,y')))', D2, R7, P[2], S{x26 -> x', x27 -> z, x28 -> y'}), NR: '+(x',+(z,y'))'
ID: 14 => ('+(+(x',z),+(y',z'))', D2, R8, P[], S{x29 -> +(x',z), x30 -> y', x31 -> z'}), NR: '+(+(x',z),+(y',z'))'
ID: 15 => ('+(z',+(z,+(x',y')))', D2, R8, P[2], S{x29 -> z, x30 -> x', x31 -> y'}), NR: '+(z,+(x',y'))'
ID: 16 => ('+(+(z',x'),+(y',z))', D2, R5, P[], S{x20 -> z', x21 -> x', x22 -> +(y',z)}), NR: '+(+(z',x'),+(y',z))'
ID: 17 => ('+(z',+(+(x',y'),z))', D2, R5, P[2], S{x20 -> x', x21 -> y', x22 -> z}), NR: '+(+(x',y'),z)'
ID: 18 => ('+(+(z',+(y',z)),x')', D2, R6, P[], S{x23 -> z', x24 -> +(y',z), x25 -> x'}), NR: '+(+(z',+(y',z)),x')'
ID: 19 => ('+(z',+(+(x',z),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 20 => ('+(x',+(+(y',z),z'))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z), x28 -> z'}), NR: '+(x',+(+(y',z),z'))'
ID: 21 => ('+(z',+(y',+(z,x')))', D2, R7, P[2], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 22 => ('+(+(y',z),+(x',z'))', D2, R8, P[], S{x29 -> +(y',z), x30 -> x', x31 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 23 => ('+(z',+(z,+(y',x')))', D2, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 24 => ('+(+(z',+(z,y')),x')', D2, R5, P[], S{x20 -> z', x21 -> +(z,y'), x22 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 25 => ('+(+(z',x'),+(z,y'))', D2, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 26 => ('+(+(z,y'),+(x',z'))', D2, R7, P[], S{x26 -> +(z,y'), x27 -> x', x28 -> z'}), NR: '+(+(z,y'),+(x',z'))'
ID: 27 => ('+(x',+(+(z,y'),z'))', D2, R8, P[], S{x29 -> x', x30 -> +(z,y'), x31 -> z'}), NR: '+(x',+(+(z,y'),z'))'
ID: 28 => ('+(+(z',+(z,x')),y')', D2, R5, P[], S{x20 -> z', x21 -> +(z,x'), x22 -> y'}), NR: '+(+(z',+(z,x')),y')'
ID: 29 => ('+(+(z',y'),+(z,x'))', D2, R6, P[], S{x23 -> z', x24 -> y', x25 -> +(z,x')}), NR: '+(+(z',y'),+(z,x'))'
ID: 30 => ('+(+(z,x'),+(y',z'))', D2, R7, P[], S{x26 -> +(z,x'), x27 -> y', x28 -> z'}), NR: '+(+(z,x'),+(y',z'))'
ID: 31 => ('+(y',+(+(z,x'),z'))', D2, R8, P[], S{x29 -> y', x30 -> +(z,x'), x31 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 32 => ('+(+(y',x'),+(z',z))', D2, R2, P[], S{x11 -> +(y',x'), x12 -> z', x13 -> z}), NR: '+(+(y',x'),+(z',z))'
ID: 33 => ('+(+(z,z'),+(y',x'))', D2, R3, P[], S{x14 -> z, x15 -> z', x16 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 34 => ('+(+(z,+(y',x')),z')', D2, R4, P[], S{x17 -> z, x18 -> +(y',x'), x19 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 35 => ('+(+(+(z',y'),x'),z)', D2, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
ID: 36 => ('+(+(+(z',x'),y'),z)', D2, R6, P[1], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 37 => ('+(+(y',+(x',z')),z)', D2, R7, P[1], S{x26 -> y', x27 -> x', x28 -> z'}), NR: '+(y',+(x',z'))'
ID: 38 => ('+(+(x',+(y',z')),z)', D2, R8, P[1], S{x29 -> x', x30 -> y', x31 -> z'}), NR: '+(x',+(y',z'))'
ID: 39 => ('+(z,+(z',+(y',x')))', D2, R2, P[], S{x11 -> z, x12 -> z', x13 -> +(y',x')}), NR: '+(z,+(z',+(y',x')))'
ID: 40 => ('+(+(+(y',x'),z'),z)', D2, R3, P[], S{x14 -> +(y',x'), x15 -> z', x16 -> z}), NR: '+(+(+(y',x'),z'),z)'
ID: 41 => ('+(+(+(y',x'),z),z')', D2, R4, P[], S{x17 -> +(y',x'), x18 -> z, x19 -> z'}), NR: '+(+(+(y',x'),z),z')'
ID: 42 => ('+(+(+(z',z),y'),x')', D2, R5, P[], S{x20 -> +(z',z), x21 -> y', x22 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 43 => ('+(+(+(z',z),x'),y')', D2, R6, P[], S{x23 -> +(z',z), x24 -> x', x25 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 44 => ('+(y',+(x',+(z',z)))', D2, R7, P[], S{x26 -> y', x27 -> x', x28 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 45 => ('+(x',+(y',+(z',z)))', D2, R8, P[], S{x29 -> x', x30 -> y', x31 -> +(z',z)}), NR: '+(x',+(y',+(z',z)))'
ID: 46 => ('+(y',+(x',+(z,z')))', D2, R1, P[], S{x8 -> y', x9 -> x', x10 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 47 => ('+(x',+(y',+(z,z')))', D2, R2, P[], S{x11 -> x', x12 -> y', x13 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 48 => ('+(+(+(z,z'),y'),x')', D2, R3, P[], S{x14 -> +(z,z'), x15 -> y', x16 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 49 => ('+(+(+(z,z'),x'),y')', D2, R4, P[], S{x17 -> +(z,z'), x18 -> x', x19 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 50 => ('+(z,+(y',+(x',z')))', D2, R1, P[2], S{x8 -> y', x9 -> x', x10 -> z'}), NR: '+(y',+(x',z'))'
ID: 51 => ('+(z,+(x',+(y',z')))', D2, R2, P[2], S{x11 -> x', x12 -> y', x13 -> z'}), NR: '+(x',+(y',z'))'
ID: 52 => ('+(z,+(+(z',y'),x'))', D2, R3, P[2], S{x14 -> z', x15 -> y', x16 -> x'}), NR: '+(+(z',y'),x')'
ID: 53 => ('+(z,+(+(z',x'),y'))', D2, R4, P[2], S{x17 -> z', x18 -> x', x19 -> y'}), NR: '+(+(z',x'),y')'
ID: 54 => ('+(y',+(z',+(x',z)))', D3, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 55 => ('+(+(+(x',z),z'),y')', D3, R3, P[], S{x14 -> +(x',z), x15 -> z', x16 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 56 => ('+(+(+(x',z),y'),z')', D3, R4, P[], S{x17 -> +(x',z), x18 -> y', x19 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 57 => ('+(+(+(z',y'),z),x')', D3, R6, P[], S{x23 -> +(z',y'), x24 -> z, x25 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 58 => ('+(x',+(z,+(z',y')))', D3, R7, P[], S{x26 -> x', x27 -> z, x28 -> +(z',y')}), NR: '+(x',+(z,+(z',y')))'
ID: 59 => ('+(z,+(x',+(z',y')))', D3, R8, P[], S{x29 -> z, x30 -> x', x31 -> +(z',y')}), NR: '+(z,+(x',+(z',y')))'
ID: 60 => ('+(+(x',z),+(z',y'))', D3, R2, P[], S{x11 -> +(x',z), x12 -> z', x13 -> y'}), NR: '+(+(x',z),+(z',y'))'
ID: 61 => ('+(+(y',z'),+(x',z))', D3, R3, P[], S{x14 -> y', x15 -> z', x16 -> +(x',z)}), NR: '+(+(y',z'),+(x',z))'
ID: 62 => ('+(+(y',+(x',z)),z')', D3, R4, P[], S{x17 -> y', x18 -> +(x',z), x19 -> z'}), NR: '+(+(y',+(x',z)),z')'
ID: 63 => ('+(+(+(z',x'),z),y')', D3, R5, P[1], S{x20 -> z', x21 -> x', x22 -> z}), NR: '+(+(z',x'),z)'
ID: 64 => ('+(+(x',+(z,z')),y')', D3, R7, P[1], S{x26 -> x', x27 -> z, x28 -> z'}), NR: '+(x',+(z,z'))'
ID: 65 => ('+(+(z,+(x',z')),y')', D3, R8, P[1], S{x29 -> z, x30 -> x', x31 -> z'}), NR: '+(z,+(x',z'))'
ID: 66 => ('+(y',+(z,+(x',z')))', D3, R2, P[2], S{x11 -> z, x12 -> x', x13 -> z'}), NR: '+(z,+(x',z'))'
ID: 67 => ('+(y',+(+(z',x'),z))', D3, R3, P[2], S{x14 -> z', x15 -> x', x16 -> z}), NR: '+(+(z',x'),z)'
ID: 68 => ('+(y',+(+(z',z),x'))', D3, R4, P[2], S{x17 -> z', x18 -> z, x19 -> x'}), NR: '+(+(z',z),x')'
ID: 69 => ('+(x',+(z,+(y',z')))', D3, R1, P[], S{x8 -> x', x9 -> z, x10 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 70 => ('+(+(+(y',z'),x'),z)', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x', x16 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 71 => ('+(+(+(y',z'),z),x')', D3, R4, P[], S{x17 -> +(y',z'), x18 -> z, x19 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 72 => ('+(+(z',z),+(x',y'))', D3, R5, P[], S{x20 -> z', x21 -> z, x22 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 73 => ('+(+(z',+(x',y')),z)', D3, R6, P[], S{x23 -> z', x24 -> +(x',y'), x25 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 74 => ('+(z,+(+(x',y'),z'))', D3, R7, P[], S{x26 -> z, x27 -> +(x',y'), x28 -> z'}), NR: '+(z,+(+(x',y'),z'))'
ID: 75 => ('+(+(x',y'),+(z,z'))', D3, R8, P[], S{x29 -> +(x',y'), x30 -> z, x31 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 76 => ('+(x',+(z',+(y',z)))', D3, R2, P[], S{x11 -> x', x12 -> z', x13 -> +(y',z)}), NR: '+(x',+(z',+(y',z)))'
ID: 77 => ('+(+(+(y',z),z'),x')', D3, R3, P[], S{x14 -> +(y',z), x15 -> z', x16 -> x'}), NR: '+(+(+(y',z),z'),x')'
ID: 78 => ('+(+(+(y',z),x'),z')', D3, R4, P[], S{x17 -> +(y',z), x18 -> x', x19 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 79 => ('+(y',+(z,+(z',x')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 80 => ('+(z,+(y',+(z',x')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(z',x')}), NR: '+(z,+(y',+(z',x')))'
ID: 81 => ('+(+(y',z),+(z',x'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> z', x13 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 82 => ('+(+(x',z'),+(y',z))', D3, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(y',z)}), NR: '+(+(x',z'),+(y',z))'
ID: 83 => ('+(+(x',+(y',z)),z')', D3, R4, P[], S{x17 -> x', x18 -> +(y',z), x19 -> z'}), NR: '+(+(x',+(y',z)),z')'
ID: 84 => ('+(+(y',+(z,z')),x')', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> z'}), NR: '+(y',+(z,z'))'
ID: 85 => ('+(+(z,+(y',z')),x')', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> z'}), NR: '+(z,+(y',z'))'
ID: 86 => ('+(x',+(+(z',y'),z))', D3, R3, P[2], S{x14 -> z', x15 -> y', x16 -> z}), NR: '+(+(z',y'),z)'
ID: 87 => ('+(x',+(+(z',z),y'))', D3, R4, P[2], S{x17 -> z', x18 -> z, x19 -> y'}), NR: '+(+(z',z),y')'
ID: 88 => ('+(+(+(x',z'),y'),z)', D3, R3, P[], S{x14 -> +(x',z'), x15 -> y', x16 -> z}), NR: '+(+(+(x',z'),y'),z)'
ID: 89 => ('+(+(+(x',z'),z),y')', D3, R4, P[], S{x17 -> +(x',z'), x18 -> z, x19 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 90 => ('+(+(z,y'),+(z',x'))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> z', x13 -> x'}), NR: '+(+(z,y'),+(z',x'))'
ID: 91 => ('+(+(x',z'),+(z,y'))', D3, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 92 => ('+(+(x',+(z,y')),z')', D3, R4, P[], S{x17 -> x', x18 -> +(z,y'), x19 -> z'}), NR: '+(+(x',+(z,y')),z')'
ID: 93 => ('+(x',+(z',+(z,y')))', D3, R2, P[], S{x11 -> x', x12 -> z', x13 -> +(z,y')}), NR: '+(x',+(z',+(z,y')))'
ID: 94 => ('+(+(+(z,y'),z'),x')', D3, R3, P[], S{x14 -> +(z,y'), x15 -> z', x16 -> x'}), NR: '+(+(+(z,y'),z'),x')'
ID: 95 => ('+(+(+(z,y'),x'),z')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> x', x19 -> z'}), NR: '+(+(+(z,y'),x'),z')'
ID: 96 => ('+(+(z,x'),+(z',y'))', D3, R2, P[], S{x11 -> +(z,x'), x12 -> z', x13 -> y'}), NR: '+(+(z,x'),+(z',y'))'
ID: 97 => ('+(+(y',z'),+(z,x'))', D3, R3, P[], S{x14 -> y', x15 -> z', x16 -> +(z,x')}), NR: '+(+(y',z'),+(z,x'))'
ID: 98 => ('+(+(y',+(z,x')),z')', D3, R4, P[], S{x17 -> y', x18 -> +(z,x'), x19 -> z'}), NR: '+(+(y',+(z,x')),z')'
ID: 99 => ('+(y',+(z',+(z,x')))', D3, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 100 => ('+(+(+(z,x'),z'),y')', D3, R3, P[], S{x14 -> +(z,x'), x15 -> z', x16 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 101 => ('+(+(+(z,x'),y'),z')', D3, R4, P[], S{x17 -> +(z,x'), x18 -> y', x19 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 102 => ('+(+(y',+(z',x')),z)', D3, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 103 => ('+(+(z,+(z',y')),x')', D3, R3, P[], S{x14 -> z, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 104 => ('+(+(+(x',y'),z'),z)', D3, R4, P[1], S{x17 -> x', x18 -> y', x19 -> z'}), NR: '+(+(x',y'),z')'
ID: 105 => ('+(+(x',+(z',y')),z)', D3, R2, P[1], S{x11 -> x', x12 -> z', x13 -> y'}), NR: '+(x',+(z',y'))'
ID: 106 => ('+(+(z,+(z',x')),y')', D3, R3, P[], S{x14 -> z, x15 -> +(z',x'), x16 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 107 => ('+(y',+(+(x',z'),z))', D3, R1, P[], S{x8 -> y', x9 -> +(x',z'), x10 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 108 => ('+(x',+(+(y',z'),z))', D3, R1, P[], S{x8 -> x', x9 -> +(y',z'), x10 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 109 => ('+(+(x',+(z',z)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z',z), x16 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 110 => ('+(+(x',y'),+(z',z))', D3, R4, P[], S{x17 -> x', x18 -> y', x19 -> +(z',z)}), NR: '+(+(x',y'),+(z',z))'
ID: 111 => ('+(+(y',+(z',z)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z',z), x16 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 112 => ('+(x',+(+(z,z'),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z,z'), x28 -> y'}), NR: '+(x',+(+(z,z'),y'))'
ID: 113 => ('+(+(z,z'),+(x',y'))', D3, R8, P[], S{x29 -> +(z,z'), x30 -> x', x31 -> y'}), NR: '+(+(z,z'),+(x',y'))'
ID: 114 => ('+(y',+(+(z,z'),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z,z'), x28 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 115 => ('+(z,+(+(y',z'),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 116 => ('+(z,+(z',+(x',y')))', D3, R8, P[2], S{x29 -> z', x30 -> x', x31 -> y'}), NR: '+(z',+(x',y'))'
ID: 117 => ('+(z,+(+(x',z'),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 118 => ('+(+(z,+(x',y')),z')', D4, R2, P[1], S{x11 -> z, x12 -> x', x13 -> y'}), NR: '+(z,+(x',y'))'
ID: 119 => ('+(+(+(x',y'),z),z')', D4, R4, P[], S{x17 -> +(x',y'), x18 -> z, x19 -> z'}), NR: '+(+(+(x',y'),z),z')'
SNodesPath1: +(z,+(x',+(y',z')))
TNodesPath1: +(z',+(+(y',x'),z)) -> +(z',+(y',+(x',z))) -> +(+(z',y'),+(x',z)) -> +(+(+(z',y'),x'),z) -> +(+(z',+(y',x')),z) -> +(+(y',x'),+(z',z)) -> +(z',+(z,+(y',x'))) -> +(z',+(x',+(y',z))) -> +(+(z',x'),+(y',z)) -> +(+(+(z',x'),y'),z) -> +(+(+(y',x'),z'),z) -> +(+(z,z'),+(y',x')) -> +(z,+(z',+(y',x'))) -> +(+(z,+(y',x')),z') -> +(+(z',z),+(y',x')) -> +(+(+(y',x'),z),z') -> +(+(y',x'),+(z,z')) -> +(y',+(x',+(z,z'))) -> +(y',+(+(x',z),z')) -> +(z',+(+(x',z),y')) -> +(+(z',+(x',z)),y') -> +(+(+(z',z),x'),y') -> +(+(z',+(z,x')),y') -> +(z',+(+(z,x'),y')) -> +(z',+(+(y',z),x')) -> +(z',+(+(x',y'),z)) -> +(z',+(+(z,y'),x')) -> +(z',+(y',+(z,x'))) -> +(z',+(x',+(z,y'))) -> +(+(z',+(z,y')),x') -> +(+(+(z',z),y'),x') -> +(y',+(+(z',z),x')) -> +(+(z',z),+(x',y')) -> +(z',+(z,+(x',y'))) -> +(+(z',+(x',y')),z) -> +(+(y',+(x',z')),z) -> +(+(z,y'),+(x',z')) -> +(z,+(y',+(x',z'))) -> +(z,+(+(y',x'),z')) -> +(z,+(x',+(y',z')))
SNodesPath2: +(z,+(x',+(y',z'))) -> +(+(z,x'),+(y',z')) -> +(x',+(z,+(y',z'))) -> +(z,+(+(y',z'),x')) -> +(z,+(+(x',y'),z')) -> +(z,+(y',+(x',z'))) -> +(z,+(x',+(z',y'))) -> +(z,+(+(x',z'),y')) -> +(z,+(z',+(x',y'))) -> +(z,+(+(z',x'),y')) -> +(z,+(+(y',x'),z')) -> +(z,+(+(z',y'),x')) -> +(z,+(y',+(z',x'))) -> +(+(z,y'),+(z',x')) -> +(+(+(z,y'),z'),x') -> +(+(z,+(y',z')),x') -> +(+(y',z'),+(z,x')) -> +(+(+(y',z'),z),x') -> +(+(x',z),+(y',z')) -> +(+(+(y',z'),x'),z) -> +(x',+(+(y',z'),z)) -> +(+(x',+(y',z')),z) -> +(+(y',z'),+(x',z)) -> +(y',+(z',+(x',z))) -> +(y',+(+(z',x'),z)) -> +(+(y',+(z',x')),z) -> +(+(z,+(z',x')),y') -> +(+(+(z,x'),z'),y') -> +(+(z,+(x',z')),y') -> +(+(+(z,z'),x'),y') -> +(+(z,z'),+(x',y')) -> +(+(+(z,z'),y'),x') -> +(+(z,z'),+(y',x')) -> +(z,+(z',+(y',x'))) -> +(+(z,+(y',x')),z') -> +(+(+(z,x'),y'),z') -> +(+(z,+(x',y')),z') -> +(+(x',y'),+(z,z')) -> +(+(+(x',y'),z'),z) -> +(+(x',y'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(y',+(+(z',z),x')) -> +(y',+(z',+(z,x'))) -> +(+(z,x'),+(z',y')) -> +(z',+(y',+(z,x'))) -> +(z',+(+(y',x'),z))
TNodesPath2: +(z',+(+(y',x'),z))
+(z,+(x',+(y',z'))) ->= +(z,+(x',+(y',z'))) *<- +(z',+(+(y',x'),z))
+(z',+(+(y',x'),z)) ->= +(z',+(+(y',x'),z)) *<- +(z,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.13: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(+(x',y'),z')),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N40
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(+(x',y'),z'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,17),(3,19),(3,21),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,11),(4,13),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,23),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,23),(7,39),(7,40),(7,41),(7,46),(7,47),(7,48),(7,49),(8,0),(8,32),(8,33),(8,34),(8,50),(8,51),(8,52),(8,53),(9,1),(9,35),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,19),(10,43),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(11,22),(11,23),(12,19),(12,46),(12,60),(12,61),(12,62),(12,66),(12,67),(12,68),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(13,26),(13,27),(14,1),(14,51),(14,54),(14,55),(14,56),(14,69),(14,70),(14,71),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,36),(16,63),(16,76),(16,77),(16,78),(16,79),(16,80),(17,1),(17,2),(17,3),(17,4),(17,72),(17,73),(17,74),(17,75),(18,11),(18,42),(18,57),(18,81),(18,82),(18,83),(18,84),(18,85),(19,0),(19,9),(19,10),(19,11),(19,12),(19,13),(19,14),(19,15),(20,11),(20,47),(20,69),(20,81),(20,82),(20,83),(20,86),(20,87),(21,0),(21,11),(21,13),(21,15),(21,28),(21,29),(21,30),(21,31),(22,2),(22,50),(22,66),(22,76),(22,77),(22,78),(22,88),(22,89),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,3),(24,42),(24,57),(24,84),(24,85),(24,90),(24,91),(24,92),(25,13),(25,36),(25,63),(25,79),(25,80),(25,93),(25,94),(25,95),(26,13),(26,50),(26,66),(26,88),(26,89),(26,93),(26,94),(26,95),(27,3),(27,47),(27,69),(27,86),(27,87),(27,90),(27,91),(27,92),(28,4),(28,43),(28,63),(28,64),(28,65),(28,96),(28,97),(28,98),(29,21),(29,35),(29,57),(29,58),(29,59),(29,99),(29,100),(29,101),(30,21),(30,51),(30,69),(30,70),(30,71),(30,99),(30,100),(30,101),(31,4),(31,46),(31,66),(31,67),(31,68),(31,96),(31,97),(31,98),(32,23),(32,39),(32,40),(32,41),(32,42),(32,43),(32,44),(32,45),(33,23),(33,39),(33,40),(33,41),(33,46),(33,47),(33,48),(33,49),(34,5),(34,6),(34,7),(34,8),(34,62),(34,83),(34,95),(34,101),(35,5),(35,9),(35,86),(35,88),(35,96),(35,102),(35,103),(35,104),(36,16),(36,40),(36,67),(36,70),(36,73),(36,90),(36,105),(36,106),(37,26),(37,40),(37,65),(37,70),(37,73),(37,82),(37,105),(37,107),(38,5),(38,30),(38,61),(38,85),(38,88),(38,102),(38,104),(38,108),(39,0),(39,32),(39,33),(39,34),(39,50),(39,51),(39,52),(39,53),(40,0),(40,32),(40,33),(40,34),(40,35),(40,36),(40,37),(40,38),(41,5),(41,6),(41,7),(41,8),(41,62),(41,83),(41,95),(41,101),(42,6),(42,24),(42,68),(42,71),(42,77),(42,103),(42,109),(42,110),(43,28),(43,32),(43,55),(43,72),(43,87),(43,89),(43,106),(43,111),(44,12),(44,32),(44,72),(44,79),(44,87),(44,99),(44,107),(44,111),(45,6),(45,20),(45,58),(45,68),(45,93),(45,108),(45,109),(45,110),(46,7),(46,12),(46,79),(46,84),(46,99),(46,107),(46,112),(46,113),(47,20),(47,33),(47,58),(47,64),(47,75),(47,93),(47,108),(47,114),(48,24),(48,33),(48,64),(48,71),(48,75),(48,77),(48,103),(48,114),(49,7),(49,28),(49,55),(49,84),(49,89),(49,106),(49,112),(49,113),(50,8),(50,26),(50,59),(50,65),(50,82),(50,107),(50,115),(50,116),(51,30),(51,39),(51,61),(51,74),(51,80),(51,85),(51,108),(51,117),(52,9),(52,39),(52,74),(52,80),(52,86),(52,96),(52,103),(52,117),(53,8),(53,16),(53,59),(53,67),(53,90),(53,106),(53,115),(53,116),(54,19),(54,46),(54,60),(54,61),(54,62),(54,66),(54,67),(54,68),(55,19),(55,43),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,9),(56,10),(56,12),(56,14),(56,41),(56,78),(56,92),(56,118),(57,18),(57,29),(57,48),(57,52),(57,60),(57,94),(57,105),(57,111),(58,27),(58,29),(58,45),(58,52),(58,60),(58,76),(58,105),(58,112),(59,9),(59,39),(59,74),(59,80),(59,86),(59,96),(59,103),(59,117),(60,1),(60,35),(60,54),(60,55),(60,56),(60,57),(60,58),(60,59),(61,1),(61,51),(61,54),(61,55),(61,56),(61,69),(61,70),(61,71),(62,9),(62,10),(62,12),(62,14),(62,41),(62,78),(62,92),(62,118),(63,10),(63,25),(63,49),(63,53),(63,81),(63,100),(63,102),(63,109),(64,7),(64,28),(64,55),(64,84),(64,89),(64,106),(64,112),(64,113),(65,10),(65,22),(65,37),(65,49),(65,91),(65,100),(65,109),(65,117),(66,22),(66,31),(66,37),(66,44),(66,54),(66,91),(66,114),(66,117),(67,25),(67,31),(67,44),(67,53),(67,54),(67,81),(67,102),(67,114),(68,12),(68,32),(68,72),(68,79),(68,87),(68,99),(68,107),(68,111),(69,14),(69,27),(69,38),(69,45),(69,76),(69,97),(69,112),(69,115),(70,5),(70,30),(70,61),(70,85),(70,88),(70,102),(70,104),(70,108),(71,14),(71,18),(71,38),(71,48),(71,94),(71,97),(71,111),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,104),(72,116),(72,119),(73,17),(73,35),(73,36),(73,37),(73,38),(73,110),(73,113),(73,118),(74,17),(74,50),(74,51),(74,52),(74,53),(74,110),(74,113),(74,118),(75,15),(75,46),(75,47),(75,48),(75,49),(75,104),(75,116),(75,119),(76,11),(76,47),(76,69),(76,81),(76,82),(76,83),(76,86),(76,87),(77,11),(77,42),(77,57),(77,81),(77,82),(77,83),(77,84),(77,85),(78,16),(78,18),(78,20),(78,22),(78,34),(78,56),(78,98),(78,119),(79,25),(79,31),(79,44),(79,53),(79,54),(79,81),(79,102),(79,114),(80,8),(80,16),(80,59),(80,67),(80,90),(80,106),(80,115),(80,116),(81,2),(81,36),(81,63),(81,76),(81,77),(81,78),(81,79),(81,80),(82,2),(82,50),(82,66),(82,76),(82,77),(82,78),(82,88),(82,89),(83,16),(83,18),(83,20),(83,22),(83,34),(83,56),(83,98),(83,119),(84,24),(84,33),(84,64),(84,71),(84,75),(84,77),(84,103),(84,114),(85,14),(85,18),(85,38),(85,48),(85,94),(85,97),(85,111),(85,115),(86,27),(86,29),(86,45),(86,52),(86,60),(86,76),(86,105),(86,112),(87,6),(87,20),(87,58),(87,68),(87,93),(87,108),(87,109),(87,110),(88,26),(88,40),(88,65),(88,70),(88,73),(88,82),(88,105),(88,107),(89,10),(89,22),(89,37),(89,49),(89,91),(89,100),(89,109),(89,117),(90,13),(90,36),(90,63),(90,79),(90,80),(90,93),(90,94),(90,95),(91,13),(91,50),(91,66),(91,88),(91,89),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,34),(92,56),(92,98),(92,119),(93,3),(93,47),(93,69),(93,86),(93,87),(93,90),(93,91),(93,92),(94,3),(94,42),(94,57),(94,84),(94,85),(94,90),(94,91),(94,92),(95,24),(95,25),(95,26),(95,27),(95,34),(95,56),(95,98),(95,119),(96,21),(96,35),(96,57),(96,58),(96,59),(96,99),(96,100),(96,101),(97,21),(97,51),(97,69),(97,70),(97,71),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,41),(98,78),(98,92),(98,118),(99,4),(99,46),(99,66),(99,67),(99,68),(99,96),(99,97),(99,98),(100,4),(100,43),(100,63),(100,64),(100,65),(100,96),(100,97),(100,98),(101,28),(101,29),(101,30),(101,31),(101,41),(101,78),(101,92),(101,118),(102,16),(102,40),(102,67),(102,70),(102,73),(102,90),(102,105),(102,106),(103,18),(103,29),(103,48),(103,52),(103,60),(103,94),(103,105),(103,111),(104,17),(104,35),(104,36),(104,37),(104,38),(104,110),(104,113),(104,118),(105,5),(105,9),(105,86),(105,88),(105,96),(105,102),(105,103),(105,104),(106,10),(106,25),(106,49),(106,53),(106,81),(106,100),(106,102),(106,109),(107,22),(107,31),(107,37),(107,44),(107,54),(107,91),(107,114),(107,117),(108,14),(108,27),(108,38),(108,45),(108,76),(108,97),(108,112),(108,115),(109,28),(109,32),(109,55),(109,72),(109,87),(109,89),(109,106),(109,111),(110,15),(110,42),(110,43),(110,44),(110,45),(110,104),(110,116),(110,119),(111,6),(111,24),(111,68),(111,71),(111,77),(111,103),(111,109),(111,110),(112,20),(112,33),(112,58),(112,64),(112,75),(112,93),(112,108),(112,114),(113,15),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,12),(114,79),(114,84),(114,99),(114,107),(114,112),(114,113),(115,30),(115,39),(115,61),(115,74),(115,80),(115,85),(115,108),(115,117),(116,17),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,26),(117,59),(117,65),(117,82),(117,107),(117,115),(117,116),(118,62),(118,72),(118,73),(118,74),(118,75),(118,83),(118,95),(118,101),(119,62),(119,72),(119,73),(119,74),(119,75),(119,83),(119,95),(119,101)]
ID: 0 => ('+(z,+(+(x',y'),z'))', D0)
ID: 1 => ('+(z,+(x',+(y',z')))', D1, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 2 => ('+(z,+(y',+(x',z')))', D1, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 3 => ('+(z,+(+(z',x'),y'))', D1, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 4 => ('+(z,+(+(z',y'),x'))', D1, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 5 => ('+(+(z,+(x',y')),z')', D1, R5, P[], S{x20 -> z, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 6 => ('+(+(z,z'),+(x',y'))', D1, R6, P[], S{x23 -> z, x24 -> z', x25 -> +(x',y')}), NR: '+(+(z,z'),+(x',y'))'
ID: 7 => ('+(+(x',y'),+(z',z))', D1, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> z}), NR: '+(+(x',y'),+(z',z))'
ID: 8 => ('+(z',+(+(x',y'),z))', D1, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> z}), NR: '+(z',+(+(x',y'),z))'
ID: 9 => ('+(+(z,x'),+(y',z'))', D2, R5, P[], S{x20 -> z, x21 -> x', x22 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 10 => ('+(+(z,+(y',z')),x')', D2, R6, P[], S{x23 -> z, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 11 => ('+(z,+(+(x',z'),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x',+(+(y',z'),z))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> z}), NR: '+(x',+(+(y',z'),z))'
ID: 13 => ('+(z,+(y',+(z',x')))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 14 => ('+(+(y',z'),+(x',z))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 15 => ('+(z,+(z',+(y',x')))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 16 => ('+(+(z,y'),+(x',z'))', D2, R5, P[], S{x20 -> z, x21 -> y', x22 -> +(x',z')}), NR: '+(+(z,y'),+(x',z'))'
ID: 17 => ('+(z,+(+(y',x'),z'))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 18 => ('+(+(z,+(x',z')),y')', D2, R6, P[], S{x23 -> z, x24 -> +(x',z'), x25 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 19 => ('+(z,+(+(y',z'),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 20 => ('+(y',+(+(x',z'),z))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z'), x28 -> z}), NR: '+(y',+(+(x',z'),z))'
ID: 21 => ('+(z,+(x',+(z',y')))', D2, R7, P[2], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 22 => ('+(+(x',z'),+(y',z))', D2, R8, P[], S{x29 -> +(x',z'), x30 -> y', x31 -> z}), NR: '+(+(x',z'),+(y',z))'
ID: 23 => ('+(z,+(z',+(x',y')))', D2, R8, P[2], S{x29 -> z', x30 -> x', x31 -> y'}), NR: '+(z',+(x',y'))'
ID: 24 => ('+(+(z,+(z',x')),y')', D2, R5, P[], S{x20 -> z, x21 -> +(z',x'), x22 -> y'}), NR: '+(+(z,+(z',x')),y')'
ID: 25 => ('+(+(z,y'),+(z',x'))', D2, R6, P[], S{x23 -> z, x24 -> y', x25 -> +(z',x')}), NR: '+(+(z,y'),+(z',x'))'
ID: 26 => ('+(+(z',x'),+(y',z))', D2, R7, P[], S{x26 -> +(z',x'), x27 -> y', x28 -> z}), NR: '+(+(z',x'),+(y',z))'
ID: 27 => ('+(y',+(+(z',x'),z))', D2, R8, P[], S{x29 -> y', x30 -> +(z',x'), x31 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 28 => ('+(+(z,+(z',y')),x')', D2, R5, P[], S{x20 -> z, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(z,+(z',y')),x')'
ID: 29 => ('+(+(z,x'),+(z',y'))', D2, R6, P[], S{x23 -> z, x24 -> x', x25 -> +(z',y')}), NR: '+(+(z,x'),+(z',y'))'
ID: 30 => ('+(+(z',y'),+(x',z))', D2, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> z}), NR: '+(+(z',y'),+(x',z))'
ID: 31 => ('+(x',+(+(z',y'),z))', D2, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> z}), NR: '+(x',+(+(z',y'),z))'
ID: 32 => ('+(+(x',y'),+(z,z'))', D2, R2, P[], S{x11 -> +(x',y'), x12 -> z, x13 -> z'}), NR: '+(+(x',y'),+(z,z'))'
ID: 33 => ('+(+(z',z),+(x',y'))', D2, R3, P[], S{x14 -> z', x15 -> z, x16 -> +(x',y')}), NR: '+(+(z',z),+(x',y'))'
ID: 34 => ('+(+(z',+(x',y')),z)', D2, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> z}), NR: '+(+(z',+(x',y')),z)'
ID: 35 => ('+(+(+(z,x'),y'),z')', D2, R5, P[1], S{x20 -> z, x21 -> x', x22 -> y'}), NR: '+(+(z,x'),y')'
ID: 36 => ('+(+(+(z,y'),x'),z')', D2, R6, P[1], S{x23 -> z, x24 -> y', x25 -> x'}), NR: '+(+(z,y'),x')'
ID: 37 => ('+(+(x',+(y',z)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z}), NR: '+(x',+(y',z))'
ID: 38 => ('+(+(y',+(x',z)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z}), NR: '+(y',+(x',z))'
ID: 39 => ('+(z',+(z,+(x',y')))', D2, R2, P[], S{x11 -> z', x12 -> z, x13 -> +(x',y')}), NR: '+(z',+(z,+(x',y')))'
ID: 40 => ('+(+(+(x',y'),z),z')', D2, R3, P[], S{x14 -> +(x',y'), x15 -> z, x16 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 41 => ('+(+(+(x',y'),z'),z)', D2, R4, P[], S{x17 -> +(x',y'), x18 -> z', x19 -> z}), NR: '+(+(+(x',y'),z'),z)'
ID: 42 => ('+(+(+(z,z'),x'),y')', D2, R5, P[], S{x20 -> +(z,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 43 => ('+(+(+(z,z'),y'),x')', D2, R6, P[], S{x23 -> +(z,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 44 => ('+(x',+(y',+(z,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z,z')}), NR: '+(x',+(y',+(z,z')))'
ID: 45 => ('+(y',+(x',+(z,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 46 => ('+(x',+(y',+(z',z)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',z)}), NR: '+(x',+(y',+(z',z)))'
ID: 47 => ('+(y',+(x',+(z',z)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 48 => ('+(+(+(z',z),x'),y')', D2, R3, P[], S{x14 -> +(z',z), x15 -> x', x16 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 49 => ('+(+(+(z',z),y'),x')', D2, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 50 => ('+(z',+(x',+(y',z)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z}), NR: '+(x',+(y',z))'
ID: 51 => ('+(z',+(y',+(x',z)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z}), NR: '+(y',+(x',z))'
ID: 52 => ('+(z',+(+(z,x'),y'))', D2, R3, P[2], S{x14 -> z, x15 -> x', x16 -> y'}), NR: '+(+(z,x'),y')'
ID: 53 => ('+(z',+(+(z,y'),x'))', D2, R4, P[2], S{x17 -> z, x18 -> y', x19 -> x'}), NR: '+(+(z,y'),x')'
ID: 54 => ('+(x',+(z,+(y',z')))', D3, R2, P[], S{x11 -> x', x12 -> z, x13 -> +(y',z')}), NR: '+(x',+(z,+(y',z')))'
ID: 55 => ('+(+(+(y',z'),z),x')', D3, R3, P[], S{x14 -> +(y',z'), x15 -> z, x16 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 56 => ('+(+(+(y',z'),x'),z)', D3, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 57 => ('+(+(+(z,x'),z'),y')', D3, R6, P[], S{x23 -> +(z,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 58 => ('+(y',+(z',+(z,x')))', D3, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 59 => ('+(z',+(y',+(z,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 60 => ('+(+(y',z'),+(z,x'))', D3, R2, P[], S{x11 -> +(y',z'), x12 -> z, x13 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 61 => ('+(+(x',z),+(y',z'))', D3, R3, P[], S{x14 -> x', x15 -> z, x16 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 62 => ('+(+(x',+(y',z')),z)', D3, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> z}), NR: '+(+(x',+(y',z')),z)'
ID: 63 => ('+(+(+(z,y'),z'),x')', D3, R5, P[1], S{x20 -> z, x21 -> y', x22 -> z'}), NR: '+(+(z,y'),z')'
ID: 64 => ('+(+(y',+(z',z)),x')', D3, R7, P[1], S{x26 -> y', x27 -> z', x28 -> z}), NR: '+(y',+(z',z))'
ID: 65 => ('+(+(z',+(y',z)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> z}), NR: '+(z',+(y',z))'
ID: 66 => ('+(x',+(z',+(y',z)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 67 => ('+(x',+(+(z,y'),z'))', D3, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 68 => ('+(x',+(+(z,z'),y'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 69 => ('+(y',+(z',+(x',z)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 70 => ('+(+(+(x',z),y'),z')', D3, R3, P[], S{x14 -> +(x',z), x15 -> y', x16 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 71 => ('+(+(+(x',z),z'),y')', D3, R4, P[], S{x17 -> +(x',z), x18 -> z', x19 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 72 => ('+(+(z,z'),+(y',x'))', D3, R5, P[], S{x20 -> z, x21 -> z', x22 -> +(y',x')}), NR: '+(+(z,z'),+(y',x'))'
ID: 73 => ('+(+(z,+(y',x')),z')', D3, R6, P[], S{x23 -> z, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(z,+(y',x')),z')'
ID: 74 => ('+(z',+(+(y',x'),z))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 75 => ('+(+(y',x'),+(z',z))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> z}), NR: '+(+(y',x'),+(z',z))'
ID: 76 => ('+(y',+(z,+(x',z')))', D3, R2, P[], S{x11 -> y', x12 -> z, x13 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 77 => ('+(+(+(x',z'),z),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> z, x16 -> y'}), NR: '+(+(+(x',z'),z),y')'
ID: 78 => ('+(+(+(x',z'),y'),z)', D3, R4, P[], S{x17 -> +(x',z'), x18 -> y', x19 -> z}), NR: '+(+(+(x',z'),y'),z)'
ID: 79 => ('+(x',+(z',+(z,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(z,y')}), NR: '+(x',+(z',+(z,y')))'
ID: 80 => ('+(z',+(x',+(z,y')))', D3, R8, P[], S{x29 -> z', x30 -> x', x31 -> +(z,y')}), NR: '+(z',+(x',+(z,y')))'
ID: 81 => ('+(+(x',z'),+(z,y'))', D3, R2, P[], S{x11 -> +(x',z'), x12 -> z, x13 -> y'}), NR: '+(+(x',z'),+(z,y'))'
ID: 82 => ('+(+(y',z),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> z, x16 -> +(x',z')}), NR: '+(+(y',z),+(x',z'))'
ID: 83 => ('+(+(y',+(x',z')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> z}), NR: '+(+(y',+(x',z')),z)'
ID: 84 => ('+(+(x',+(z',z)),y')', D3, R7, P[1], S{x26 -> x', x27 -> z', x28 -> z}), NR: '+(x',+(z',z))'
ID: 85 => ('+(+(z',+(x',z)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> z}), NR: '+(z',+(x',z))'
ID: 86 => ('+(y',+(+(z,x'),z'))', D3, R3, P[2], S{x14 -> z, x15 -> x', x16 -> z'}), NR: '+(+(z,x'),z')'
ID: 87 => ('+(y',+(+(z,z'),x'))', D3, R4, P[2], S{x17 -> z, x18 -> z', x19 -> x'}), NR: '+(+(z,z'),x')'
ID: 88 => ('+(+(+(y',z),x'),z')', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 89 => ('+(+(+(y',z),z'),x')', D3, R4, P[], S{x17 -> +(y',z), x18 -> z', x19 -> x'}), NR: '+(+(+(y',z),z'),x')'
ID: 90 => ('+(+(z',x'),+(z,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> z, x13 -> y'}), NR: '+(+(z',x'),+(z,y'))'
ID: 91 => ('+(+(y',z),+(z',x'))', D3, R3, P[], S{x14 -> y', x15 -> z, x16 -> +(z',x')}), NR: '+(+(y',z),+(z',x'))'
ID: 92 => ('+(+(y',+(z',x')),z)', D3, R4, P[], S{x17 -> y', x18 -> +(z',x'), x19 -> z}), NR: '+(+(y',+(z',x')),z)'
ID: 93 => ('+(y',+(z,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> z, x13 -> +(z',x')}), NR: '+(y',+(z,+(z',x')))'
ID: 94 => ('+(+(+(z',x'),z),y')', D3, R3, P[], S{x14 -> +(z',x'), x15 -> z, x16 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 95 => ('+(+(+(z',x'),y'),z)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> z}), NR: '+(+(+(z',x'),y'),z)'
ID: 96 => ('+(+(z',y'),+(z,x'))', D3, R2, P[], S{x11 -> +(z',y'), x12 -> z, x13 -> x'}), NR: '+(+(z',y'),+(z,x'))'
ID: 97 => ('+(+(x',z),+(z',y'))', D3, R3, P[], S{x14 -> x', x15 -> z, x16 -> +(z',y')}), NR: '+(+(x',z),+(z',y'))'
ID: 98 => ('+(+(x',+(z',y')),z)', D3, R4, P[], S{x17 -> x', x18 -> +(z',y'), x19 -> z}), NR: '+(+(x',+(z',y')),z)'
ID: 99 => ('+(x',+(z,+(z',y')))', D3, R2, P[], S{x11 -> x', x12 -> z, x13 -> +(z',y')}), NR: '+(x',+(z,+(z',y')))'
ID: 100 => ('+(+(+(z',y'),z),x')', D3, R3, P[], S{x14 -> +(z',y'), x15 -> z, x16 -> x'}), NR: '+(+(+(z',y'),z),x')'
ID: 101 => ('+(+(+(z',y'),x'),z)', D3, R4, P[], S{x17 -> +(z',y'), x18 -> x', x19 -> z}), NR: '+(+(+(z',y'),x'),z)'
ID: 102 => ('+(+(x',+(z,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> z, x13 -> y'}), NR: '+(x',+(z,y'))'
ID: 103 => ('+(+(z',+(z,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(z,x'), x16 -> y'}), NR: '+(+(z',+(z,x')),y')'
ID: 104 => ('+(+(+(y',x'),z),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z}), NR: '+(+(y',x'),z)'
ID: 105 => ('+(+(y',+(z,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> z, x13 -> x'}), NR: '+(y',+(z,x'))'
ID: 106 => ('+(+(z',+(z,y')),x')', D3, R3, P[], S{x14 -> z', x15 -> +(z,y'), x16 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 107 => ('+(x',+(+(y',z),z'))', D3, R1, P[], S{x8 -> x', x9 -> +(y',z), x10 -> z'}), NR: '+(x',+(+(y',z),z'))'
ID: 108 => ('+(y',+(+(x',z),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x',z), x10 -> z'}), NR: '+(y',+(+(x',z),z'))'
ID: 109 => ('+(+(y',+(z,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z,z'), x16 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 110 => ('+(+(y',x'),+(z,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z,z')}), NR: '+(+(y',x'),+(z,z'))'
ID: 111 => ('+(+(x',+(z,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z,z'), x16 -> y'}), NR: '+(+(x',+(z,z')),y')'
ID: 112 => ('+(y',+(+(z',z),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',z), x28 -> x'}), NR: '+(y',+(+(z',z),x'))'
ID: 113 => ('+(+(z',z),+(y',x'))', D3, R8, P[], S{x29 -> +(z',z), x30 -> y', x31 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 114 => ('+(x',+(+(z',z),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',z), x28 -> y'}), NR: '+(x',+(+(z',z),y'))'
ID: 115 => ('+(z',+(+(x',z),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z, x25 -> y'}), NR: '+(+(x',z),y')'
ID: 116 => ('+(z',+(z,+(y',x')))', D3, R8, P[2], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 117 => ('+(z',+(+(y',z),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z, x25 -> x'}), NR: '+(+(y',z),x')'
ID: 118 => ('+(+(z',+(y',x')),z)', D4, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 119 => ('+(+(+(y',x'),z'),z)', D4, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> z}), NR: '+(+(+(y',x'),z'),z)'
t: +(x',+(+(y',z'),z))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: 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ID: 0 => ('+(x',+(+(y',z'),z))', D0)
ID: 1 => ('+(x',+(y',+(z',z)))', D1, R1, P[2], S{x8 -> y', x9 -> z', x10 -> z}), NR: '+(y',+(z',z))'
ID: 2 => ('+(x',+(z',+(y',z)))', D1, R2, P[2], S{x11 -> z', x12 -> y', x13 -> z}), NR: '+(z',+(y',z))'
ID: 3 => ('+(x',+(+(z,y'),z'))', D1, R3, P[2], S{x14 -> z, x15 -> y', x16 -> z'}), NR: '+(+(z,y'),z')'
ID: 4 => ('+(x',+(+(z,z'),y'))', D1, R4, P[2], S{x17 -> z, x18 -> z', x19 -> y'}), NR: '+(+(z,z'),y')'
ID: 5 => ('+(+(x',+(y',z')),z)', D1, R5, P[], S{x20 -> x', x21 -> +(y',z'), x22 -> z}), NR: '+(+(x',+(y',z')),z)'
ID: 6 => ('+(+(x',z),+(y',z'))', D1, R6, P[], S{x23 -> x', x24 -> z, x25 -> +(y',z')}), NR: '+(+(x',z),+(y',z'))'
ID: 7 => ('+(+(y',z'),+(z,x'))', D1, R7, P[], S{x26 -> +(y',z'), x27 -> z, x28 -> x'}), NR: '+(+(y',z'),+(z,x'))'
ID: 8 => ('+(z,+(+(y',z'),x'))', D1, R8, P[], S{x29 -> z, x30 -> +(y',z'), x31 -> x'}), NR: '+(z,+(+(y',z'),x'))'
ID: 9 => ('+(+(x',y'),+(z',z))', D2, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(z',z)}), NR: '+(+(x',y'),+(z',z))'
ID: 10 => ('+(+(x',+(z',z)),y')', D2, R6, P[], S{x23 -> x', x24 -> +(z',z), x25 -> y'}), NR: '+(+(x',+(z',z)),y')'
ID: 11 => ('+(x',+(+(y',z),z'))', D2, R6, P[2], S{x23 -> y', x24 -> z, x25 -> z'}), NR: '+(+(y',z),z')'
ID: 12 => ('+(y',+(+(z',z),x'))', D2, R7, P[], S{x26 -> y', x27 -> +(z',z), x28 -> x'}), NR: '+(y',+(+(z',z),x'))'
ID: 13 => ('+(x',+(z',+(z,y')))', D2, R7, P[2], S{x26 -> z', x27 -> z, x28 -> y'}), NR: '+(z',+(z,y'))'
ID: 14 => ('+(+(z',z),+(y',x'))', D2, R8, P[], S{x29 -> +(z',z), x30 -> y', x31 -> x'}), NR: '+(+(z',z),+(y',x'))'
ID: 15 => ('+(x',+(z,+(z',y')))', D2, R8, P[2], S{x29 -> z, x30 -> z', x31 -> y'}), NR: '+(z,+(z',y'))'
ID: 16 => ('+(+(x',z'),+(y',z))', D2, R5, P[], S{x20 -> x', x21 -> z', x22 -> +(y',z)}), NR: '+(+(x',z'),+(y',z))'
ID: 17 => ('+(x',+(+(z',y'),z))', D2, R5, P[2], S{x20 -> z', x21 -> y', x22 -> z}), NR: '+(+(z',y'),z)'
ID: 18 => ('+(+(x',+(y',z)),z')', D2, R6, P[], S{x23 -> x', x24 -> +(y',z), x25 -> z'}), NR: '+(+(x',+(y',z)),z')'
ID: 19 => ('+(x',+(+(z',z),y'))', D2, R6, P[2], S{x23 -> z', x24 -> z, x25 -> y'}), NR: '+(+(z',z),y')'
ID: 20 => ('+(z',+(+(y',z),x'))', D2, R7, P[], S{x26 -> z', x27 -> +(y',z), x28 -> x'}), NR: '+(z',+(+(y',z),x'))'
ID: 21 => ('+(x',+(y',+(z,z')))', D2, R7, P[2], S{x26 -> y', x27 -> z, x28 -> z'}), NR: '+(y',+(z,z'))'
ID: 22 => ('+(+(y',z),+(z',x'))', D2, R8, P[], S{x29 -> +(y',z), x30 -> z', x31 -> x'}), NR: '+(+(y',z),+(z',x'))'
ID: 23 => ('+(x',+(z,+(y',z')))', D2, R8, P[2], S{x29 -> z, x30 -> y', x31 -> z'}), NR: '+(z,+(y',z'))'
ID: 24 => ('+(+(x',+(z,y')),z')', D2, R5, P[], S{x20 -> x', x21 -> +(z,y'), x22 -> z'}), NR: '+(+(x',+(z,y')),z')'
ID: 25 => ('+(+(x',z'),+(z,y'))', D2, R6, P[], S{x23 -> x', x24 -> z', x25 -> +(z,y')}), NR: '+(+(x',z'),+(z,y'))'
ID: 26 => ('+(+(z,y'),+(z',x'))', D2, R7, P[], S{x26 -> +(z,y'), x27 -> z', x28 -> x'}), NR: '+(+(z,y'),+(z',x'))'
ID: 27 => ('+(z',+(+(z,y'),x'))', D2, R8, P[], S{x29 -> z', x30 -> +(z,y'), x31 -> x'}), NR: '+(z',+(+(z,y'),x'))'
ID: 28 => ('+(+(x',+(z,z')),y')', D2, R5, P[], S{x20 -> x', x21 -> +(z,z'), x22 -> y'}), NR: '+(+(x',+(z,z')),y')'
ID: 29 => ('+(+(x',y'),+(z,z'))', D2, R6, P[], S{x23 -> x', x24 -> y', x25 -> +(z,z')}), NR: '+(+(x',y'),+(z,z'))'
ID: 30 => ('+(+(z,z'),+(y',x'))', D2, R7, P[], S{x26 -> +(z,z'), x27 -> y', x28 -> x'}), NR: '+(+(z,z'),+(y',x'))'
ID: 31 => ('+(y',+(+(z,z'),x'))', D2, R8, P[], S{x29 -> y', x30 -> +(z,z'), x31 -> x'}), NR: '+(y',+(+(z,z'),x'))'
ID: 32 => ('+(+(y',z'),+(x',z))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x', x13 -> z}), NR: '+(+(y',z'),+(x',z))'
ID: 33 => ('+(+(z,x'),+(y',z'))', D2, R3, P[], S{x14 -> z, x15 -> x', x16 -> +(y',z')}), NR: '+(+(z,x'),+(y',z'))'
ID: 34 => ('+(+(z,+(y',z')),x')', D2, R4, P[], S{x17 -> z, x18 -> +(y',z'), x19 -> x'}), NR: '+(+(z,+(y',z')),x')'
ID: 35 => ('+(+(+(x',y'),z'),z)', D2, R5, P[1], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 36 => ('+(+(+(x',z'),y'),z)', D2, R6, P[1], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 37 => ('+(+(y',+(z',x')),z)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 38 => ('+(+(z',+(y',x')),z)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 39 => ('+(z,+(x',+(y',z')))', D2, R2, P[], S{x11 -> z, x12 -> x', x13 -> +(y',z')}), NR: '+(z,+(x',+(y',z')))'
ID: 40 => ('+(+(+(y',z'),x'),z)', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x', x16 -> z}), NR: '+(+(+(y',z'),x'),z)'
ID: 41 => ('+(+(+(y',z'),z),x')', D2, R4, P[], S{x17 -> +(y',z'), x18 -> z, x19 -> x'}), NR: '+(+(+(y',z'),z),x')'
ID: 42 => ('+(+(+(x',z),y'),z')', D2, R5, P[], S{x20 -> +(x',z), x21 -> y', x22 -> z'}), NR: '+(+(+(x',z),y'),z')'
ID: 43 => ('+(+(+(x',z),z'),y')', D2, R6, P[], S{x23 -> +(x',z), x24 -> z', x25 -> y'}), NR: '+(+(+(x',z),z'),y')'
ID: 44 => ('+(y',+(z',+(x',z)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x',z)}), NR: '+(y',+(z',+(x',z)))'
ID: 45 => ('+(z',+(y',+(x',z)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x',z)}), NR: '+(z',+(y',+(x',z)))'
ID: 46 => ('+(y',+(z',+(z,x')))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(z,x')}), NR: '+(y',+(z',+(z,x')))'
ID: 47 => ('+(z',+(y',+(z,x')))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(z,x')}), NR: '+(z',+(y',+(z,x')))'
ID: 48 => ('+(+(+(z,x'),y'),z')', D2, R3, P[], S{x14 -> +(z,x'), x15 -> y', x16 -> z'}), NR: '+(+(+(z,x'),y'),z')'
ID: 49 => ('+(+(+(z,x'),z'),y')', D2, R4, P[], S{x17 -> +(z,x'), x18 -> z', x19 -> y'}), NR: '+(+(+(z,x'),z'),y')'
ID: 50 => ('+(z,+(y',+(z',x')))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 51 => ('+(z,+(z',+(y',x')))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 52 => ('+(z,+(+(x',y'),z'))', D2, R3, P[2], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 53 => ('+(z,+(+(x',z'),y'))', D2, R4, P[2], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 54 => ('+(y',+(x',+(z',z)))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',z)}), NR: '+(y',+(x',+(z',z)))'
ID: 55 => ('+(+(+(z',z),x'),y')', D3, R3, P[], S{x14 -> +(z',z), x15 -> x', x16 -> y'}), NR: '+(+(+(z',z),x'),y')'
ID: 56 => ('+(+(+(z',z),y'),x')', D3, R4, P[], S{x17 -> +(z',z), x18 -> y', x19 -> x'}), NR: '+(+(+(z',z),y'),x')'
ID: 57 => ('+(+(+(x',y'),z),z')', D3, R6, P[], S{x23 -> +(x',y'), x24 -> z, x25 -> z'}), NR: '+(+(+(x',y'),z),z')'
ID: 58 => ('+(z',+(z,+(x',y')))', D3, R7, P[], S{x26 -> z', x27 -> z, x28 -> +(x',y')}), NR: '+(z',+(z,+(x',y')))'
ID: 59 => ('+(z,+(z',+(x',y')))', D3, R8, P[], S{x29 -> z, x30 -> z', x31 -> +(x',y')}), NR: '+(z,+(z',+(x',y')))'
ID: 60 => ('+(+(z',z),+(x',y'))', D3, R2, P[], S{x11 -> +(z',z), x12 -> x', x13 -> y'}), NR: '+(+(z',z),+(x',y'))'
ID: 61 => ('+(+(y',x'),+(z',z))', D3, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z',z)}), NR: '+(+(y',x'),+(z',z))'
ID: 62 => ('+(+(y',+(z',z)),x')', D3, R4, P[], S{x17 -> y', x18 -> +(z',z), x19 -> x'}), NR: '+(+(y',+(z',z)),x')'
ID: 63 => ('+(+(+(x',z'),z),y')', D3, R5, P[1], S{x20 -> x', x21 -> z', x22 -> z}), NR: '+(+(x',z'),z)'
ID: 64 => ('+(+(z',+(z,x')),y')', D3, R7, P[1], S{x26 -> z', x27 -> z, x28 -> x'}), NR: '+(z',+(z,x'))'
ID: 65 => ('+(+(z,+(z',x')),y')', D3, R8, P[1], S{x29 -> z, x30 -> z', x31 -> x'}), NR: '+(z,+(z',x'))'
ID: 66 => ('+(y',+(z,+(z',x')))', D3, R2, P[2], S{x11 -> z, x12 -> z', x13 -> x'}), NR: '+(z,+(z',x'))'
ID: 67 => ('+(y',+(+(x',z'),z))', D3, R3, P[2], S{x14 -> x', x15 -> z', x16 -> z}), NR: '+(+(x',z'),z)'
ID: 68 => ('+(y',+(+(x',z),z'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> z'}), NR: '+(+(x',z),z')'
ID: 69 => ('+(z',+(z,+(y',x')))', D3, R1, P[], S{x8 -> z', x9 -> z, x10 -> +(y',x')}), NR: '+(z',+(z,+(y',x')))'
ID: 70 => ('+(+(+(y',x'),z'),z)', D3, R3, P[], S{x14 -> +(y',x'), x15 -> z', x16 -> z}), NR: '+(+(+(y',x'),z'),z)'
ID: 71 => ('+(+(+(y',x'),z),z')', D3, R4, P[], S{x17 -> +(y',x'), x18 -> z, x19 -> z'}), NR: '+(+(+(y',x'),z),z')'
ID: 72 => ('+(+(x',z),+(z',y'))', D3, R5, P[], S{x20 -> x', x21 -> z, x22 -> +(z',y')}), NR: '+(+(x',z),+(z',y'))'
ID: 73 => ('+(+(x',+(z',y')),z)', D3, R6, P[], S{x23 -> x', x24 -> +(z',y'), x25 -> z}), NR: '+(+(x',+(z',y')),z)'
ID: 74 => ('+(z,+(+(z',y'),x'))', D3, R7, P[], S{x26 -> z, x27 -> +(z',y'), x28 -> x'}), NR: '+(z,+(+(z',y'),x'))'
ID: 75 => ('+(+(z',y'),+(z,x'))', D3, R8, P[], S{x29 -> +(z',y'), x30 -> z, x31 -> x'}), NR: '+(+(z',y'),+(z,x'))'
ID: 76 => ('+(z',+(x',+(y',z)))', D3, R2, P[], S{x11 -> z', x12 -> x', x13 -> +(y',z)}), NR: '+(z',+(x',+(y',z)))'
ID: 77 => ('+(+(+(y',z),x'),z')', D3, R3, P[], S{x14 -> +(y',z), x15 -> x', x16 -> z'}), NR: '+(+(+(y',z),x'),z')'
ID: 78 => ('+(+(+(y',z),z'),x')', D3, R4, P[], S{x17 -> +(y',z), x18 -> z', x19 -> x'}), NR: '+(+(+(y',z),z'),x')'
ID: 79 => ('+(y',+(z,+(x',z')))', D3, R7, P[], S{x26 -> y', x27 -> z, x28 -> +(x',z')}), NR: '+(y',+(z,+(x',z')))'
ID: 80 => ('+(z,+(y',+(x',z')))', D3, R8, P[], S{x29 -> z, x30 -> y', x31 -> +(x',z')}), NR: '+(z,+(y',+(x',z')))'
ID: 81 => ('+(+(y',z),+(x',z'))', D3, R2, P[], S{x11 -> +(y',z), x12 -> x', x13 -> z'}), NR: '+(+(y',z),+(x',z'))'
ID: 82 => ('+(+(z',x'),+(y',z))', D3, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(y',z)}), NR: '+(+(z',x'),+(y',z))'
ID: 83 => ('+(+(z',+(y',z)),x')', D3, R4, P[], S{x17 -> z', x18 -> +(y',z), x19 -> x'}), NR: '+(+(z',+(y',z)),x')'
ID: 84 => ('+(+(y',+(z,x')),z')', D3, R7, P[1], S{x26 -> y', x27 -> z, x28 -> x'}), NR: '+(y',+(z,x'))'
ID: 85 => ('+(+(z,+(y',x')),z')', D3, R8, P[1], S{x29 -> z, x30 -> y', x31 -> x'}), NR: '+(z,+(y',x'))'
ID: 86 => ('+(z',+(+(x',y'),z))', D3, R3, P[2], S{x14 -> x', x15 -> y', x16 -> z}), NR: '+(+(x',y'),z)'
ID: 87 => ('+(z',+(+(x',z),y'))', D3, R4, P[2], S{x17 -> x', x18 -> z, x19 -> y'}), NR: '+(+(x',z),y')'
ID: 88 => ('+(+(+(z',x'),y'),z)', D3, R3, P[], S{x14 -> +(z',x'), x15 -> y', x16 -> z}), NR: '+(+(+(z',x'),y'),z)'
ID: 89 => ('+(+(+(z',x'),z),y')', D3, R4, P[], S{x17 -> +(z',x'), x18 -> z, x19 -> y'}), NR: '+(+(+(z',x'),z),y')'
ID: 90 => ('+(+(z,y'),+(x',z'))', D3, R2, P[], S{x11 -> +(z,y'), x12 -> x', x13 -> z'}), NR: '+(+(z,y'),+(x',z'))'
ID: 91 => ('+(+(z',x'),+(z,y'))', D3, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(z,y')}), NR: '+(+(z',x'),+(z,y'))'
ID: 92 => ('+(+(z',+(z,y')),x')', D3, R4, P[], S{x17 -> z', x18 -> +(z,y'), x19 -> x'}), NR: '+(+(z',+(z,y')),x')'
ID: 93 => ('+(z',+(x',+(z,y')))', D3, R2, P[], S{x11 -> z', x12 -> x', x13 -> +(z,y')}), NR: '+(z',+(x',+(z,y')))'
ID: 94 => ('+(+(+(z,y'),x'),z')', D3, R3, P[], S{x14 -> +(z,y'), x15 -> x', x16 -> z'}), NR: '+(+(+(z,y'),x'),z')'
ID: 95 => ('+(+(+(z,y'),z'),x')', D3, R4, P[], S{x17 -> +(z,y'), x18 -> z', x19 -> x'}), NR: '+(+(+(z,y'),z'),x')'
ID: 96 => ('+(+(z,z'),+(x',y'))', D3, R2, P[], S{x11 -> +(z,z'), x12 -> x', x13 -> y'}), NR: '+(+(z,z'),+(x',y'))'
ID: 97 => ('+(+(y',x'),+(z,z'))', D3, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(z,z')}), NR: '+(+(y',x'),+(z,z'))'
ID: 98 => ('+(+(y',+(z,z')),x')', D3, R4, P[], S{x17 -> y', x18 -> +(z,z'), x19 -> x'}), NR: '+(+(y',+(z,z')),x')'
ID: 99 => ('+(y',+(x',+(z,z')))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z,z')}), NR: '+(y',+(x',+(z,z')))'
ID: 100 => ('+(+(+(z,z'),x'),y')', D3, R3, P[], S{x14 -> +(z,z'), x15 -> x', x16 -> y'}), NR: '+(+(+(z,z'),x'),y')'
ID: 101 => ('+(+(+(z,z'),y'),x')', D3, R4, P[], S{x17 -> +(z,z'), x18 -> y', x19 -> x'}), NR: '+(+(+(z,z'),y'),x')'
ID: 102 => ('+(+(y',+(x',z')),z)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 103 => ('+(+(z,+(x',y')),z')', D3, R3, P[], S{x14 -> z, x15 -> +(x',y'), x16 -> z'}), NR: '+(+(z,+(x',y')),z')'
ID: 104 => ('+(+(+(z',y'),x'),z)', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 105 => ('+(+(z',+(x',y')),z)', D3, R2, P[1], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 106 => ('+(+(z,+(x',z')),y')', D3, R3, P[], S{x14 -> z, x15 -> +(x',z'), x16 -> y'}), NR: '+(+(z,+(x',z')),y')'
ID: 107 => ('+(y',+(+(z',x'),z))', D3, R1, P[], S{x8 -> y', x9 -> +(z',x'), x10 -> z}), NR: '+(y',+(+(z',x'),z))'
ID: 108 => ('+(z',+(+(y',x'),z))', D3, R1, P[], S{x8 -> z', x9 -> +(y',x'), x10 -> z}), NR: '+(z',+(+(y',x'),z))'
ID: 109 => ('+(+(z',+(x',z)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x',z), x16 -> y'}), NR: '+(+(z',+(x',z)),y')'
ID: 110 => ('+(+(z',y'),+(x',z))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x',z)}), NR: '+(+(z',y'),+(x',z))'
ID: 111 => ('+(+(y',+(x',z)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x',z), x16 -> z'}), NR: '+(+(y',+(x',z)),z')'
ID: 112 => ('+(z',+(+(z,x'),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(z,x'), x28 -> y'}), NR: '+(z',+(+(z,x'),y'))'
ID: 113 => ('+(+(z,x'),+(z',y'))', D3, R8, P[], S{x29 -> +(z,x'), x30 -> z', x31 -> y'}), NR: '+(+(z,x'),+(z',y'))'
ID: 114 => ('+(y',+(+(z,x'),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(z,x'), x28 -> z'}), NR: '+(y',+(+(z,x'),z'))'
ID: 115 => ('+(z,+(+(y',x'),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 116 => ('+(z,+(x',+(z',y')))', D3, R8, P[2], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 117 => ('+(z,+(+(z',x'),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 118 => ('+(+(z,+(z',y')),x')', D4, R2, P[1], S{x11 -> z, x12 -> z', x13 -> y'}), NR: '+(z,+(z',y'))'
ID: 119 => ('+(+(+(z',y'),z),x')', D4, R4, P[], S{x17 -> +(z',y'), x18 -> z, x19 -> x'}), NR: '+(+(+(z',y'),z),x')'
SNodesPath1: +(z,+(+(x',y'),z'))
TNodesPath1: +(x',+(+(y',z'),z)) -> +(x',+(y',+(z',z))) -> +(+(x',y'),+(z',z)) -> +(+(+(x',y'),z'),z) -> +(+(x',+(y',z')),z) -> +(+(y',z'),+(x',z)) -> +(x',+(z,+(y',z'))) -> +(x',+(z',+(y',z))) -> +(+(x',z'),+(y',z)) -> +(+(+(x',z'),y'),z) -> +(+(+(y',z'),x'),z) -> +(+(z,x'),+(y',z')) -> +(z,+(x',+(y',z'))) -> +(+(z,+(y',z')),x') -> +(+(x',z),+(y',z')) -> +(+(+(y',z'),z),x') -> +(+(y',z'),+(z,x')) -> +(y',+(z',+(z,x'))) -> +(y',+(+(z',z),x')) -> +(x',+(+(z',z),y')) -> +(+(x',+(z',z)),y') -> +(+(+(x',z),z'),y') -> +(+(x',+(z,z')),y') -> +(x',+(+(z,z'),y')) -> +(x',+(+(y',z),z')) -> +(x',+(+(z',y'),z)) -> +(x',+(+(z,y'),z')) -> +(x',+(y',+(z,z'))) -> +(x',+(z',+(z,y'))) -> +(+(x',+(z,y')),z') -> +(+(+(x',z),y'),z') -> +(y',+(+(x',z),z')) -> +(+(x',z),+(z',y')) -> +(x',+(z,+(z',y'))) -> +(+(x',+(z',y')),z) -> +(+(y',+(z',x')),z) -> +(+(z,y'),+(z',x')) -> +(z,+(y',+(z',x'))) -> +(z,+(+(y',z'),x')) -> +(z,+(z',+(y',x'))) -> +(+(z,z'),+(y',x')) -> +(z',+(z,+(y',x'))) -> +(+(z',z),+(y',x')) -> +(y',+(x',+(z',z))) -> +(+(z',z),+(x',y')) -> +(+(+(z',z),x'),y') -> +(+(y',x'),+(z',z)) -> +(+(+(z',z),y'),x') -> +(+(+(y',z),z'),x') -> +(+(x',+(y',z)),z') -> +(+(+(x',y'),z),z') -> +(+(x',y'),+(z,z')) -> +(z',+(z,+(x',y'))) -> +(z',+(+(z,y'),x')) -> +(z',+(y',+(z,x'))) -> +(z',+(+(y',z),x')) -> +(+(y',z),+(x',z')) -> +(+(+(x',z'),z),y') -> +(+(x',z'),+(z,y')) -> +(y',+(z,+(x',z'))) -> +(y',+(+(z,z'),x')) -> +(y',+(z,+(z',x'))) -> +(+(y',z),+(z',x')) -> +(z',+(x',+(y',z))) -> +(+(z',x'),+(y',z)) -> +(+(+(y',z),x'),z') -> +(+(z',+(y',z)),x') -> +(+(y',+(z,z')),x') -> +(+(z',+(z,y')),x') -> +(+(+(z',y'),z),x') -> +(+(y',+(z',z)),x') -> +(+(z,+(z',y')),x') -> +(z,+(+(z',y'),x')) -> +(z,+(+(x',y'),z'))
SNodesPath2: +(z,+(+(x',y'),z')) -> +(z,+(x',+(y',z'))) -> +(+(z,x'),+(y',z')) -> +(+(+(z,x'),y'),z') -> +(+(z,+(x',y')),z') -> +(+(x',y'),+(z,z')) -> +(z,+(z',+(x',y'))) -> +(z,+(y',+(x',z'))) -> +(+(z,y'),+(x',z')) -> +(+(+(z,y'),x'),z') -> +(+(+(x',y'),z),z') -> +(+(z',z),+(x',y')) -> +(z',+(z,+(x',y'))) -> +(+(z',+(x',y')),z) -> +(+(z,z'),+(x',y')) -> +(+(+(x',y'),z'),z) -> +(+(x',y'),+(z',z)) -> +(x',+(y',+(z',z))) -> +(x',+(+(y',z'),z))
TNodesPath2: +(x',+(+(y',z'),z))
+(z,+(+(x',y'),z')) ->= +(z,+(+(x',y'),z')) *<- +(x',+(+(y',z'),z))
+(x',+(+(y',z'),z)) ->= +(x',+(+(y',z'),z)) *<- +(z,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.14: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(x',+(y',z'))),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N41
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(x',+(y',z')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(79,28),(79,32),(79,56),(79,72),(79,74),(79,85),(79,86),(79,87),(80,32),(80,38),(80,56),(80,68),(80,74),(80,85),(80,88),(80,89),(81,19),(81,20),(81,21),(81,22),(81,26),(81,102),(81,110),(81,119),(82,35),(82,40),(82,48),(82,51),(82,67),(82,85),(82,96),(82,111),(83,30),(83,45),(83,48),(83,51),(83,67),(83,85),(83,101),(83,106),(84,19),(84,25),(84,59),(84,61),(84,63),(84,77),(84,103),(84,114),(85,2),(85,12),(85,79),(85,80),(85,81),(85,82),(85,83),(85,84),(86,20),(86,41),(86,43),(86,49),(86,60),(86,92),(86,104),(86,117),(87,5),(87,50),(87,66),(87,79),(87,95),(87,105),(87,106),(87,107),(88,14),(88,29),(88,37),(88,53),(88,80),(88,108),(88,109),(88,114),(89,10),(89,21),(89,70),(89,76),(89,96),(89,97),(89,98),(89,99),(90,15),(90,22),(90,30),(90,45),(90,101),(90,106),(90,112),(90,115),(91,15),(91,22),(91,35),(91,40),(91,96),(91,111),(91,112),(91,115),(92,10),(92,50),(92,66),(92,76),(92,79),(92,95),(92,96),(92,97),(93,16),(93,27),(93,57),(93,71),(93,75),(93,82),(93,104),(93,105),(94,18),(94,27),(94,28),(94,29),(94,30),(94,62),(94,113),(94,118),(95,14),(95,20),(95,37),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,59),(96,89),(96,91),(96,92),(96,93),(96,94),(97,3),(97,36),(97,73),(97,83),(97,89),(97,92),(97,94),(97,100),(98,8),(98,38),(98,63),(98,68),(98,88),(98,89),(98,115),(98,116),(99,29),(99,43),(99,49),(99,53),(99,60),(99,80),(99,104),(99,108),(100,6),(100,39),(100,61),(100,69),(100,90),(100,97),(100,109),(100,110),(101,16),(101,39),(101,57),(101,61),(101,71),(101,90),(101,97),(101,104),(102,11),(102,34),(102,35),(102,36),(102,37),(102,81),(102,116),(102,118),(103,7),(103,34),(103,66),(103,68),(103,69),(103,84),(103,112),(103,113),(104,4),(104,13),(104,86),(104,93),(104,99),(104,101),(104,102),(104,103),(105,9),(105,42),(105,59),(105,78),(105,87),(105,91),(105,93),(105,108),(106,9),(106,36),(106,73),(106,78),(106,83),(106,87),(106,100),(106,108),(107,18),(107,38),(107,39),(107,40),(107,41),(107,62),(107,113),(107,118),(108,5),(108,21),(108,70),(108,98),(108,99),(108,105),(108,106),(108,107),(109,17),(109,46),(109,54),(109,58),(109,88),(109,95),(109,100),(109,111),(110,11),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,118),(111,6),(111,27),(111,69),(111,75),(111,82),(111,105),(111,109),(111,110),(112,25),(112,52),(112,73),(112,74),(112,75),(112,77),(112,103),(112,114),(113,31),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,119),(114,7),(114,44),(114,70),(114,71),(114,72),(114,84),(114,112),(114,113),(115,33),(115,47),(115,55),(115,65),(115,90),(115,91),(115,98),(115,117),(116,26),(116,50),(116,51),(116,52),(116,53),(116,102),(116,110),(116,119),(117,8),(117,28),(117,63),(117,72),(117,86),(117,87),(117,115),(117,116),(118,54),(118,55),(118,56),(118,57),(118,64),(118,76),(118,77),(118,78),(119,54),(119,55),(119,56),(119,57),(119,64),(119,76),(119,77),(119,78)]
ID: 0 => ('+(x,+(x',+(y',z')))', D0)
ID: 1 => ('+(+(x,x'),+(y',z'))', D1, R5, P[], S{x20 -> x, x21 -> x', x22 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 2 => ('+(x,+(+(x',y'),z'))', D1, R5, P[2], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 3 => ('+(+(x,+(y',z')),x')', D1, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 4 => ('+(x,+(+(x',z'),y'))', D1, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 5 => ('+(x',+(+(y',z'),x))', D1, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 6 => ('+(x,+(y',+(z',x')))', D1, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 7 => ('+(+(y',z'),+(x',x))', D1, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 8 => ('+(x,+(z',+(y',x')))', D1, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 9 => ('+(x',+(x,+(y',z')))', D2, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 10 => ('+(+(+(y',z'),x),x')', D2, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 11 => ('+(+(+(y',z'),x'),x)', D2, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 12 => ('+(+(+(x,x'),y'),z')', D2, R5, P[], S{x20 -> +(x,x'), x21 -> y', x22 -> z'}), NR: '+(+(+(x,x'),y'),z')'
ID: 13 => ('+(+(+(x,x'),z'),y')', D2, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 14 => ('+(y',+(z',+(x,x')))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 15 => ('+(z',+(y',+(x,x')))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 16 => ('+(x,+(y',+(x',z')))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 17 => ('+(x,+(+(z',x'),y'))', D2, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 18 => ('+(x,+(+(z',y'),x'))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 19 => ('+(+(x,+(x',y')),z')', D2, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 20 => ('+(+(x,z'),+(x',y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 21 => ('+(+(x',y'),+(z',x))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 22 => ('+(z',+(+(x',y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 23 => ('+(x,+(+(y',z'),x'))', D2, R1, P[], S{x8 -> x, x9 -> +(y',z'), x10 -> x'}), NR: '+(x,+(+(y',z'),x'))'
ID: 24 => ('+(+(y',z'),+(x,x'))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 25 => ('+(+(x',x),+(y',z'))', D2, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 26 => ('+(+(x',+(y',z')),x)', D2, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 27 => ('+(+(+(x,y'),z'),x')', D2, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 28 => ('+(+(+(x,z'),y'),x')', D2, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 29 => ('+(+(y',+(z',x)),x')', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 30 => ('+(+(z',+(y',x)),x')', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 31 => ('+(x,+(x',+(z',y')))', D2, R1, P[2], S{x8 -> x', x9 -> z', x10 -> y'}), NR: '+(x',+(z',y'))'
ID: 32 => ('+(x,+(z',+(x',y')))', D2, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 33 => ('+(x,+(+(y',x'),z'))', D2, R3, P[2], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 34 => ('+(+(x,+(x',z')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(x',z'), x22 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 35 => ('+(+(x,y'),+(x',z'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 36 => ('+(+(x',z'),+(y',x))', D2, R7, P[], S{x26 -> +(x',z'), x27 -> y', x28 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 37 => ('+(y',+(+(x',z'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 38 => ('+(x',+(y',+(z',x)))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 39 => ('+(x',+(z',+(y',x)))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 40 => ('+(x',+(+(x,y'),z'))', D2, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 41 => ('+(x',+(+(x,z'),y'))', D2, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 42 => ('+(+(x,y'),+(z',x'))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 43 => ('+(+(x,+(z',x')),y')', D2, R6, P[], S{x23 -> x, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 44 => ('+(y',+(+(z',x'),x))', D2, R7, P[], S{x26 -> y', x27 -> +(z',x'), x28 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 45 => ('+(+(z',x'),+(y',x))', D2, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 46 => ('+(y',+(z',+(x',x)))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 47 => ('+(z',+(y',+(x',x)))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x',x)}), NR: '+(z',+(y',+(x',x)))'
ID: 48 => ('+(+(+(x',x),y'),z')', D2, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 49 => ('+(+(+(x',x),z'),y')', D2, R4, P[], S{x17 -> +(x',x), x18 -> z', x19 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 50 => ('+(+(x,z'),+(y',x'))', D2, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 51 => ('+(+(x,+(y',x')),z')', D2, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 52 => ('+(z',+(+(y',x'),x))', D2, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 53 => ('+(+(y',x'),+(z',x))', D2, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 54 => ('+(+(y',+(z',x')),x)', D3, R1, P[1], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 55 => ('+(+(z',+(y',x')),x)', D3, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 56 => ('+(+(+(x',y'),z'),x)', D3, R3, P[1], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 57 => ('+(+(+(x',z'),y'),x)', D3, R4, P[1], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 58 => ('+(y',+(+(x,x'),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,x'), x13 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 59 => ('+(+(x',+(x,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 60 => ('+(+(z',+(x,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 61 => ('+(+(+(y',x),x'),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 62 => ('+(+(z',y'),+(x,x'))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,x')}), NR: '+(+(z',y'),+(x,x'))'
ID: 63 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 64 => ('+(+(x,x'),+(z',y'))', D3, R1, P[], S{x8 -> +(x,x'), x9 -> z', x10 -> y'}), NR: '+(+(x,x'),+(z',y'))'
ID: 65 => ('+(z',+(+(x,x'),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x,x'), x13 -> y'}), NR: '+(z',+(+(x,x'),y'))'
ID: 66 => ('+(+(x',+(x,z')),y')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> z'}), NR: '+(x',+(x,z'))'
ID: 67 => ('+(+(y',+(x,x')),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x,x'), x16 -> z'}), NR: '+(+(y',+(x,x')),z')'
ID: 68 => ('+(+(+(z',x),x'),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> x'}), NR: '+(+(z',x),x')'
ID: 69 => ('+(+(+(z',x'),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> x', x19 -> x}), NR: '+(+(z',x'),x)'
ID: 70 => ('+(y',+(+(z',x),x'))', D3, R5, P[2], S{x20 -> z', x21 -> x, x22 -> x'}), NR: '+(+(z',x),x')'
ID: 71 => ('+(y',+(x,+(x',z')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> z'}), NR: '+(x,+(x',z'))'
ID: 72 => ('+(y',+(x',+(x,z')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> z'}), NR: '+(x',+(x,z'))'
ID: 73 => ('+(z',+(+(y',x),x'))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> x'}), NR: '+(+(y',x),x')'
ID: 74 => ('+(z',+(x,+(x',y')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> y'}), NR: '+(x,+(x',y'))'
ID: 75 => ('+(z',+(x',+(x,y')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y'}), NR: '+(x',+(x,y'))'
ID: 76 => ('+(+(x,+(z',y')),x')', D3, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 77 => ('+(+(z',y'),+(x',x))', D3, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 78 => ('+(x',+(+(z',y'),x))', D3, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 79 => ('+(+(x',y'),+(x,z'))', D3, R2, P[], S{x11 -> +(x',y'), x12 -> x, x13 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 80 => ('+(+(z',x),+(x',y'))', D3, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 81 => ('+(+(z',+(x',y')),x)', D3, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 82 => ('+(+(+(x,y'),x'),z')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 83 => ('+(+(x',+(y',x)),z')', D3, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 84 => ('+(+(y',+(x',x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 85 => ('+(+(+(x',y'),x),z')', D3, R3, P[], S{x14 -> +(x',y'), x15 -> x, x16 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 86 => ('+(+(+(x,z'),x'),y')', D3, R5, P[], S{x20 -> +(x,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 87 => ('+(x',+(y',+(x,z')))', D3, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 88 => ('+(y',+(x',+(z',x)))', D3, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 89 => ('+(+(+(z',x),y'),x')', D3, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 90 => ('+(z',+(x',+(y',x)))', D3, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 91 => ('+(z',+(+(x,y'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 92 => ('+(+(y',+(x,z')),x')', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 93 => ('+(+(x',z'),+(x,y'))', D3, R4, P[], S{x17 -> x', x18 -> z', x19 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 94 => ('+(+(+(z',y'),x),x')', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 95 => ('+(y',+(+(x,z'),x'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,z'), x13 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 96 => ('+(+(z',+(x,y')),x')', D3, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 97 => ('+(+(+(y',x),z'),x')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 98 => ('+(+(z',x),+(y',x'))', D3, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 99 => ('+(+(x',+(z',x)),y')', D3, R4, P[], S{x17 -> x', x18 -> +(z',x), x19 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 100 => ('+(+(y',x),+(z',x'))', D3, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 101 => ('+(+(y',x),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(x',z')}), NR: '+(+(y',x),+(x',z'))'
ID: 102 => ('+(+(y',+(x',z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> x}), NR: '+(+(y',+(x',z')),x)'
ID: 103 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 104 => ('+(+(+(x',z'),x),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> x, x16 -> y'}), NR: '+(+(+(x',z'),x),y')'
ID: 105 => ('+(x',+(z',+(x,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 106 => ('+(x',+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 107 => ('+(x',+(x,+(z',y')))', D3, R8, P[2], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
ID: 108 => ('+(x',+(+(z',x),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 109 => ('+(y',+(x,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',x')}), NR: '+(y',+(x,+(z',x')))'
ID: 110 => ('+(+(+(z',x'),y'),x)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> x}), NR: '+(+(+(z',x'),y'),x)'
ID: 111 => ('+(+(z',x'),+(x,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> x, x13 -> y'}), NR: '+(+(z',x'),+(x,y'))'
ID: 112 => ('+(z',+(+(x',x),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(x',x), x28 -> y'}), NR: '+(z',+(+(x',x),y'))'
ID: 113 => ('+(+(x',x),+(z',y'))', D3, R8, P[], S{x29 -> +(x',x), x30 -> z', x31 -> y'}), NR: '+(+(x',x),+(z',y'))'
ID: 114 => ('+(y',+(+(x',x),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(x',x), x28 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 115 => ('+(z',+(x,+(y',x')))', D3, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(y',x')}), NR: '+(z',+(x,+(y',x')))'
ID: 116 => ('+(+(+(y',x'),z'),x)', D3, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> x}), NR: '+(+(+(y',x'),z'),x)'
ID: 117 => ('+(+(y',x'),+(x,z'))', D3, R2, P[], S{x11 -> +(y',x'), x12 -> x, x13 -> z'}), NR: '+(+(y',x'),+(x,z'))'
ID: 118 => ('+(+(x',+(z',y')),x)', D4, R8, P[1], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 119 => ('+(+(+(z',y'),x'),x)', D4, R5, P[1], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
t: +(+(x,+(x',y')),z')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,20),(3,21),(3,22),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,13),(4,14),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,20),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,20),(7,40),(7,42),(7,44),(7,46),(7,47),(7,48),(7,49),(8,0),(8,34),(8,36),(8,38),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,22),(10,39),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,22),(11,48),(11,60),(11,62),(11,64),(11,66),(11,67),(11,68),(12,1),(12,52),(12,55),(12,57),(12,59),(12,69),(12,70),(12,71),(13,16),(13,17),(13,18),(13,19),(13,20),(13,21),(13,22),(13,23),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,46),(16,56),(16,76),(16,77),(16,78),(16,79),(16,80),(17,13),(17,50),(17,63),(17,81),(17,82),(17,83),(17,84),(17,85),(18,13),(18,35),(18,66),(18,81),(18,82),(18,83),(18,86),(18,87),(19,2),(19,43),(19,69),(19,76),(19,77),(19,79),(19,88),(19,89),(20,1),(20,2),(20,3),(20,4),(20,5),(20,6),(20,7),(20,8),(21,0),(21,13),(21,14),(21,15),(21,28),(21,29),(21,30),(21,31),(22,0),(22,9),(22,10),(22,11),(22,12),(22,13),(22,14),(22,15),(23,1),(23,2),(23,3),(23,4),(23,72),(23,73),(23,74),(23,75),(24,3),(24,35),(24,66),(24,86),(24,87),(24,90),(24,91),(24,92),(25,14),(25,43),(25,69),(25,88),(25,89),(25,93),(25,94),(25,95),(26,14),(26,46),(26,56),(26,78),(26,80),(26,93),(26,94),(26,95),(27,3),(27,50),(27,63),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,48),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,21),(29,52),(29,69),(29,70),(29,71),(29,99),(29,100),(29,101),(30,21),(30,32),(30,54),(30,56),(30,58),(30,99),(30,100),(30,101),(31,4),(31,39),(31,61),(31,63),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,85),(32,89),(32,97),(32,102),(32,103),(32,104),(33,17),(33,42),(33,68),(33,70),(33,74),(33,94),(33,105),(33,106),(34,20),(34,39),(34,40),(34,41),(34,42),(34,43),(34,44),(34,45),(35,24),(35,42),(35,61),(35,70),(35,74),(35,76),(35,106),(35,107),(36,20),(36,40),(36,42),(36,44),(36,46),(36,47),(36,48),(36,49),(37,5),(37,29),(37,64),(37,78),(37,85),(37,103),(37,104),(37,108),(38,5),(38,6),(38,7),(38,8),(38,60),(38,81),(38,93),(38,99),(39,6),(39,10),(39,80),(39,87),(39,101),(39,105),(39,109),(39,110),(40,5),(40,6),(40,7),(40,8),(40,60),(40,81),(40,93),(40,99),(41,16),(41,34),(41,67),(41,71),(41,75),(41,90),(41,102),(41,111),(42,0),(42,32),(42,33),(42,34),(42,35),(42,36),(42,37),(42,38),(43,25),(43,34),(43,54),(43,67),(43,75),(43,82),(43,108),(43,111),(44,0),(44,34),(44,36),(44,38),(44,50),(44,51),(44,52),(44,53),(45,6),(45,28),(45,57),(45,80),(45,84),(45,107),(45,109),(45,110),(46,7),(46,16),(46,65),(46,71),(46,90),(46,102),(46,112),(46,113),(47,10),(47,36),(47,72),(47,87),(47,88),(47,101),(47,105),(47,114),(48,28),(48,36),(48,57),(48,72),(48,84),(48,88),(48,107),(48,114),(49,7),(49,25),(49,54),(49,65),(49,82),(49,108),(49,112),(49,113),(50,8),(50,17),(50,58),(50,68),(50,94),(50,105),(50,115),(50,116),(51,9),(51,44),(51,73),(51,86),(51,89),(51,97),(51,102),(51,117),(52,29),(52,44),(52,64),(52,73),(52,78),(52,86),(52,108),(52,117),(53,8),(53,24),(53,58),(53,61),(53,76),(53,107),(53,115),(53,116),(54,19),(54,30),(54,49),(54,51),(54,62),(54,91),(54,106),(54,109),(55,22),(55,39),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,26),(56,30),(56,41),(56,51),(56,62),(56,83),(56,106),(56,114),(57,22),(57,48),(57,60),(57,62),(57,64),(57,66),(57,67),(57,68),(58,9),(58,44),(58,73),(58,86),(58,89),(58,97),(58,102),(58,117),(59,9),(59,10),(59,11),(59,12),(59,40),(59,79),(59,92),(59,118),(60,9),(60,10),(60,11),(60,12),(60,40),(60,79),(60,92),(60,118),(61,18),(61,31),(61,47),(61,53),(61,55),(61,95),(61,103),(61,111),(62,1),(62,32),(62,54),(62,55),(62,56),(62,57),(62,58),(62,59),(63,27),(63,31),(63,33),(63,47),(63,55),(63,77),(63,111),(63,117),(64,1),(64,52),(64,55),(64,57),(64,59),(64,69),(64,70),(64,71),(65,10),(65,36),(65,72),(65,87),(65,88),(65,101),(65,105),(65,114),(66,11),(66,18),(66,45),(66,53),(66,95),(66,100),(66,103),(66,112),(67,6),(67,28),(67,57),(67,80),(67,84),(67,107),(67,109),(67,110),(68,11),(68,27),(68,33),(68,45),(68,77),(68,100),(68,112),(68,117),(69,12),(69,19),(69,37),(69,49),(69,91),(69,96),(69,109),(69,115),(70,5),(70,29),(70,64),(70,78),(70,85),(70,103),(70,104),(70,108),(71,12),(71,26),(71,37),(71,41),(71,83),(71,96),(71,114),(71,115),(72,15),(72,46),(72,47),(72,48),(72,49),(72,104),(72,116),(72,119),(73,23),(73,50),(73,51),(73,52),(73,53),(73,110),(73,113),(73,118),(74,23),(74,32),(74,33),(74,35),(74,37),(74,110),(74,113),(74,118),(75,15),(75,39),(75,41),(75,43),(75,45),(75,104),(75,116),(75,119),(76,13),(76,35),(76,66),(76,81),(76,82),(76,83),(76,86),(76,87),(77,13),(77,50),(77,63),(77,81),(77,82),(77,83),(77,84),(77,85),(78,12),(78,26),(78,37),(78,41),(78,83),(78,96),(78,114),(78,115),(79,16),(79,17),(79,18),(79,19),(79,38),(79,59),(79,98),(79,119),(80,16),(80,34),(80,67),(80,71),(80,75),(80,90),(80,102),(80,111),(81,16),(81,17),(81,18),(81,19),(81,38),(81,59),(81,98),(81,119),(82,2),(82,43),(82,69),(82,76),(82,77),(82,79),(82,88),(82,89),(83,2),(83,46),(83,56),(83,76),(83,77),(83,78),(83,79),(83,80),(84,11),(84,27),(84,33),(84,45),(84,77),(84,100),(84,112),(84,117),(85,17),(85,42),(85,68),(85,70),(85,74),(85,94),(85,105),(85,106),(86,8),(86,24),(86,58),(86,61),(86,76),(86,107),(86,115),(86,116),(87,18),(87,31),(87,47),(87,53),(87,55),(87,95),(87,103),(87,111),(88,7),(88,25),(88,54),(88,65),(88,82),(88,108),(88,112),(88,113),(89,19),(89,30),(89,49),(89,51),(89,62),(89,91),(89,106),(89,109),(90,14),(90,46),(90,56),(90,78),(90,80),(90,93),(90,94),(90,95),(91,14),(91,43),(91,69),(91,88),(91,89),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,38),(92,59),(92,98),(92,119),(93,24),(93,25),(93,26),(93,27),(93,38),(93,59),(93,98),(93,119),(94,3),(94,50),(94,63),(94,84),(94,85),(94,90),(94,91),(94,92),(95,3),(95,35),(95,66),(95,86),(95,87),(95,90),(95,91),(95,92),(96,21),(96,52),(96,69),(96,70),(96,71),(96,99),(96,100),(96,101),(97,21),(97,32),(97,54),(97,56),(97,58),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,40),(98,79),(98,92),(98,118),(99,28),(99,29),(99,30),(99,31),(99,40),(99,79),(99,92),(99,118),(100,4),(100,48),(100,66),(100,67),(100,68),(100,96),(100,97),(100,98),(101,4),(101,39),(101,61),(101,63),(101,65),(101,96),(101,97),(101,98),(102,26),(102,30),(102,41),(102,51),(102,62),(102,83),(102,106),(102,114),(103,24),(103,42),(103,61),(103,70),(103,74),(103,76),(103,106),(103,107),(104,23),(104,32),(104,33),(104,35),(104,37),(104,110),(104,113),(104,118),(105,27),(105,31),(105,33),(105,47),(105,55),(105,77),(105,111),(105,117),(106,5),(106,9),(106,85),(106,89),(106,97),(106,102),(106,103),(106,104),(107,11),(107,18),(107,45),(107,53),(107,95),(107,100),(107,103),(107,112),(108,12),(108,19),(108,37),(108,49),(108,91),(108,96),(108,109),(108,115),(109,25),(109,34),(109,54),(109,67),(109,75),(109,82),(109,108),(109,111),(110,15),(110,39),(110,41),(110,43),(110,45),(110,104),(110,116),(110,119),(111,6),(111,10),(111,80),(111,87),(111,101),(111,105),(111,109),(111,110),(112,28),(112,36),(112,57),(112,72),(112,84),(112,88),(112,107),(112,114),(113,15),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,16),(114,65),(114,71),(114,90),(114,102),(114,112),(114,113),(115,29),(115,44),(115,64),(115,73),(115,78),(115,86),(115,108),(115,117),(116,23),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,17),(117,58),(117,68),(117,94),(117,105),(117,115),(117,116),(118,60),(118,72),(118,73),(118,74),(118,75),(118,81),(118,93),(118,99),(119,60),(119,72),(119,73),(119,74),(119,75),(119,81),(119,93),(119,99)]
ID: 0 => ('+(+(x,+(x',y')),z')', D0)
ID: 1 => ('+(x,+(+(x',y'),z'))', D1, R1, P[], S{x8 -> x, x9 -> +(x',y'), x10 -> z'}), NR: '+(x,+(+(x',y'),z'))'
ID: 2 => ('+(+(x',y'),+(x,z'))', D1, R2, P[], S{x11 -> +(x',y'), x12 -> x, x13 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 3 => ('+(+(z',x),+(x',y'))', D1, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 4 => ('+(+(z',+(x',y')),x)', D1, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 5 => ('+(+(+(x,x'),y'),z')', D1, R5, P[1], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 6 => ('+(+(+(x,y'),x'),z')', D1, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 7 => ('+(+(x',+(y',x)),z')', D1, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 8 => ('+(+(y',+(x',x)),z')', D1, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 9 => ('+(x,+(x',+(y',z')))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 10 => ('+(x,+(y',+(x',z')))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 11 => ('+(x,+(+(z',x'),y'))', D2, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 12 => ('+(x,+(+(z',y'),x'))', D2, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 13 => ('+(+(x,z'),+(x',y'))', D2, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 14 => ('+(+(x',y'),+(z',x))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 15 => ('+(z',+(+(x',y'),x))', D2, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 16 => ('+(x',+(y',+(x,z')))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 17 => ('+(y',+(x',+(x,z')))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(x,z')}), NR: '+(y',+(x',+(x,z')))'
ID: 18 => ('+(+(+(x,z'),x'),y')', D2, R3, P[], S{x14 -> +(x,z'), x15 -> x', x16 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 19 => ('+(+(+(x,z'),y'),x')', D2, R4, P[], S{x17 -> +(x,z'), x18 -> y', x19 -> x'}), NR: '+(+(+(x,z'),y'),x')'
ID: 20 => ('+(+(+(x',y'),x),z')', D2, R5, P[], S{x20 -> +(x',y'), x21 -> x, x22 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 21 => ('+(+(+(x',y'),z'),x)', D2, R6, P[], S{x23 -> +(x',y'), x24 -> z', x25 -> x}), NR: '+(+(+(x',y'),z'),x)'
ID: 22 => ('+(x,+(z',+(x',y')))', D2, R7, P[], S{x26 -> x, x27 -> z', x28 -> +(x',y')}), NR: '+(x,+(z',+(x',y')))'
ID: 23 => ('+(z',+(x,+(x',y')))', D2, R8, P[], S{x29 -> z', x30 -> x, x31 -> +(x',y')}), NR: '+(z',+(x,+(x',y')))'
ID: 24 => ('+(+(+(z',x),x'),y')', D2, R5, P[], S{x20 -> +(z',x), x21 -> x', x22 -> y'}), NR: '+(+(+(z',x),x'),y')'
ID: 25 => ('+(+(+(z',x),y'),x')', D2, R6, P[], S{x23 -> +(z',x), x24 -> y', x25 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 26 => ('+(x',+(y',+(z',x)))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(z',x)}), NR: '+(x',+(y',+(z',x)))'
ID: 27 => ('+(y',+(x',+(z',x)))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 28 => ('+(+(+(z',x'),y'),x)', D2, R5, P[1], S{x20 -> z', x21 -> x', x22 -> y'}), NR: '+(+(z',x'),y')'
ID: 29 => ('+(+(+(z',y'),x'),x)', D2, R6, P[1], S{x23 -> z', x24 -> y', x25 -> x'}), NR: '+(+(z',y'),x')'
ID: 30 => ('+(+(x',+(y',z')),x)', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> z'}), NR: '+(x',+(y',z'))'
ID: 31 => ('+(+(y',+(x',z')),x)', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> z'}), NR: '+(y',+(x',z'))'
ID: 32 => ('+(+(x,x'),+(y',z'))', D2, R1, P[], S{x8 -> +(x,x'), x9 -> y', x10 -> z'}), NR: '+(+(x,x'),+(y',z'))'
ID: 33 => ('+(y',+(+(x,x'),z'))', D2, R2, P[], S{x11 -> y', x12 -> +(x,x'), x13 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 34 => ('+(+(x',+(x,y')),z')', D2, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 35 => ('+(+(z',+(x,x')),y')', D2, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 36 => ('+(+(+(y',x),x'),z')', D2, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 37 => ('+(+(z',y'),+(x,x'))', D2, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x,x')}), NR: '+(+(z',y'),+(x,x'))'
ID: 38 => ('+(+(+(y',x'),x),z')', D2, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 39 => ('+(+(x,y'),+(x',z'))', D2, R1, P[], S{x8 -> +(x,y'), x9 -> x', x10 -> z'}), NR: '+(+(x,y'),+(x',z'))'
ID: 40 => ('+(+(x,+(y',x')),z')', D2, R1, P[1], S{x8 -> x, x9 -> y', x10 -> x'}), NR: '+(x,+(y',x'))'
ID: 41 => ('+(x',+(+(x,y'),z'))', D2, R2, P[], S{x11 -> x', x12 -> +(x,y'), x13 -> z'}), NR: '+(x',+(+(x,y'),z'))'
ID: 42 => ('+(+(y',+(x,x')),z')', D2, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 43 => ('+(+(z',+(x,y')),x')', D2, R3, P[], S{x14 -> z', x15 -> +(x,y'), x16 -> x'}), NR: '+(+(z',+(x,y')),x')'
ID: 44 => ('+(+(+(x',x),y'),z')', D2, R3, P[1], S{x14 -> x', x15 -> x, x16 -> y'}), NR: '+(+(x',x),y')'
ID: 45 => ('+(+(z',x'),+(x,y'))', D2, R4, P[], S{x17 -> z', x18 -> x', x19 -> +(x,y')}), NR: '+(+(z',x'),+(x,y'))'
ID: 46 => ('+(x',+(+(y',x),z'))', D2, R1, P[], S{x8 -> x', x9 -> +(y',x), x10 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 47 => ('+(+(y',x),+(x',z'))', D2, R2, P[], S{x11 -> +(y',x), x12 -> x', x13 -> z'}), NR: '+(+(y',x),+(x',z'))'
ID: 48 => ('+(+(z',x'),+(y',x))', D2, R3, P[], S{x14 -> z', x15 -> x', x16 -> +(y',x)}), NR: '+(+(z',x'),+(y',x))'
ID: 49 => ('+(+(z',+(y',x)),x')', D2, R4, P[], S{x17 -> z', x18 -> +(y',x), x19 -> x'}), NR: '+(+(z',+(y',x)),x')'
ID: 50 => ('+(y',+(+(x',x),z'))', D2, R1, P[], S{x8 -> y', x9 -> +(x',x), x10 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 51 => ('+(+(x',x),+(y',z'))', D2, R2, P[], S{x11 -> +(x',x), x12 -> y', x13 -> z'}), NR: '+(+(x',x),+(y',z'))'
ID: 52 => ('+(+(z',y'),+(x',x))', D2, R3, P[], S{x14 -> z', x15 -> y', x16 -> +(x',x)}), NR: '+(+(z',y'),+(x',x))'
ID: 53 => ('+(+(z',+(x',x)),y')', D2, R4, P[], S{x17 -> z', x18 -> +(x',x), x19 -> y'}), NR: '+(+(z',+(x',x)),y')'
ID: 54 => ('+(+(x,+(y',z')),x')', D3, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 55 => ('+(x,+(+(x',z'),y'))', D3, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 56 => ('+(x',+(+(y',z'),x))', D3, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 57 => ('+(x,+(y',+(z',x')))', D3, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 58 => ('+(+(y',z'),+(x',x))', D3, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 59 => ('+(x,+(z',+(y',x')))', D3, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 60 => ('+(x,+(+(y',x'),z'))', D3, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 61 => ('+(+(x,+(x',z')),y')', D3, R6, P[], S{x23 -> x, x24 -> +(x',z'), x25 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 62 => ('+(x,+(+(y',z'),x'))', D3, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 63 => ('+(y',+(+(x',z'),x))', D3, R7, P[], S{x26 -> y', x27 -> +(x',z'), x28 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 64 => ('+(x,+(x',+(z',y')))', D3, R7, P[2], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 65 => ('+(+(x',z'),+(y',x))', D3, R8, P[], S{x29 -> +(x',z'), x30 -> y', x31 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 66 => ('+(+(x,+(z',x')),y')', D3, R5, P[], S{x20 -> x, x21 -> +(z',x'), x22 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 67 => ('+(+(x,y'),+(z',x'))', D3, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 68 => ('+(y',+(+(z',x'),x))', D3, R8, P[], S{x29 -> y', x30 -> +(z',x'), x31 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 69 => ('+(+(x,+(z',y')),x')', D3, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 70 => ('+(+(x,x'),+(z',y'))', D3, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 71 => ('+(x',+(+(z',y'),x))', D3, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 72 => ('+(z',+(x',+(y',x)))', D3, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 73 => ('+(z',+(y',+(x',x)))', D3, R2, P[2], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 74 => ('+(z',+(+(x,x'),y'))', D3, R3, P[2], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 75 => ('+(z',+(+(x,y'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 76 => ('+(+(x',+(x,z')),y')', D3, R6, P[], S{x23 -> x', x24 -> +(x,z'), x25 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 77 => ('+(y',+(+(x,z'),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(x,z'), x28 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 78 => ('+(x',+(x,+(z',y')))', D3, R7, P[2], S{x26 -> x, x27 -> z', x28 -> y'}), NR: '+(x,+(z',y'))'
ID: 79 => ('+(+(x,z'),+(y',x'))', D3, R8, P[], S{x29 -> +(x,z'), x30 -> y', x31 -> x'}), NR: '+(+(x,z'),+(y',x'))'
ID: 80 => ('+(x',+(z',+(x,y')))', D3, R8, P[2], S{x29 -> z', x30 -> x, x31 -> y'}), NR: '+(z',+(x,y'))'
ID: 81 => ('+(+(y',x'),+(x,z'))', D3, R5, P[], S{x20 -> y', x21 -> x', x22 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 82 => ('+(+(y',+(x,z')),x')', D3, R6, P[], S{x23 -> y', x24 -> +(x,z'), x25 -> x'}), NR: '+(+(y',+(x,z')),x')'
ID: 83 => ('+(x',+(+(x,z'),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(x,z'), x28 -> y'}), NR: '+(x',+(+(x,z'),y'))'
ID: 84 => ('+(y',+(x,+(z',x')))', D3, R7, P[2], S{x26 -> x, x27 -> z', x28 -> x'}), NR: '+(x,+(z',x'))'
ID: 85 => ('+(y',+(z',+(x,x')))', D3, R8, P[2], S{x29 -> z', x30 -> x, x31 -> x'}), NR: '+(z',+(x,x'))'
ID: 86 => ('+(+(+(x',x),z'),y')', D3, R3, P[1], S{x14 -> x', x15 -> x, x16 -> z'}), NR: '+(+(x',x),z')'
ID: 87 => ('+(+(+(x',z'),x),y')', D3, R4, P[1], S{x17 -> x', x18 -> z', x19 -> x}), NR: '+(+(x',z'),x)'
ID: 88 => ('+(+(+(y',x),z'),x')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 89 => ('+(+(+(y',z'),x),x')', D3, R4, P[1], S{x17 -> y', x18 -> z', x19 -> x}), NR: '+(+(y',z'),x)'
ID: 90 => ('+(x',+(+(z',x),y'))', D3, R2, P[], S{x11 -> x', x12 -> +(z',x), x13 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 91 => ('+(+(y',+(z',x)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(z',x), x16 -> x'}), NR: '+(+(y',+(z',x)),x')'
ID: 92 => ('+(+(y',x'),+(z',x))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(z',x)}), NR: '+(+(y',x'),+(z',x))'
ID: 93 => ('+(+(z',x),+(y',x'))', D3, R1, P[], S{x8 -> +(z',x), x9 -> y', x10 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 94 => ('+(y',+(+(z',x),x'))', D3, R2, P[], S{x11 -> y', x12 -> +(z',x), x13 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 95 => ('+(+(x',+(z',x)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(z',x), x16 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 96 => ('+(+(x',+(z',y')),x)', D3, R2, P[1], S{x11 -> x', x12 -> z', x13 -> y'}), NR: '+(x',+(z',y'))'
ID: 97 => ('+(+(+(y',z'),x'),x)', D3, R3, P[1], S{x14 -> y', x15 -> z', x16 -> x'}), NR: '+(+(y',z'),x')'
ID: 98 => ('+(+(+(y',x'),z'),x)', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> z'}), NR: '+(+(y',x'),z')'
ID: 99 => ('+(+(z',+(y',x')),x)', D3, R1, P[1], S{x8 -> z', x9 -> y', x10 -> x'}), NR: '+(z',+(y',x'))'
ID: 100 => ('+(+(y',+(z',x')),x)', D3, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 101 => ('+(+(+(x',z'),y'),x)', D3, R3, P[1], S{x14 -> x', x15 -> z', x16 -> y'}), NR: '+(+(x',z'),y')'
ID: 102 => ('+(x',+(x,+(y',z')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 103 => ('+(+(+(x,x'),z'),y')', D3, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 104 => ('+(z',+(y',+(x,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 105 => ('+(y',+(x,+(x',z')))', D3, R1, P[2], S{x8 -> x, x9 -> x', x10 -> z'}), NR: '+(x,+(x',z'))'
ID: 106 => ('+(+(y',z'),+(x,x'))', D3, R6, P[], S{x23 -> y', x24 -> z', x25 -> +(x,x')}), NR: '+(+(y',z'),+(x,x'))'
ID: 107 => ('+(+(+(z',x'),x),y')', D3, R6, P[1], S{x23 -> z', x24 -> x', x25 -> x}), NR: '+(+(z',x'),x)'
ID: 108 => ('+(+(+(z',y'),x),x')', D3, R5, P[], S{x20 -> +(z',y'), x21 -> x, x22 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 109 => ('+(+(+(x,y'),z'),x')', D3, R6, P[], S{x23 -> +(x,y'), x24 -> z', x25 -> x'}), NR: '+(+(+(x,y'),z'),x')'
ID: 110 => ('+(z',+(x',+(x,y')))', D3, R8, P[], S{x29 -> z', x30 -> x', x31 -> +(x,y')}), NR: '+(z',+(x',+(x,y')))'
ID: 111 => ('+(+(x',z'),+(x,y'))', D3, R6, P[], S{x23 -> x', x24 -> z', x25 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 112 => ('+(+(y',x),+(z',x'))', D3, R7, P[], S{x26 -> +(y',x), x27 -> z', x28 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 113 => ('+(z',+(+(y',x),x'))', D3, R8, P[], S{x29 -> z', x30 -> +(y',x), x31 -> x'}), NR: '+(z',+(+(y',x),x'))'
ID: 114 => ('+(x',+(z',+(y',x)))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(y',x)}), NR: '+(x',+(z',+(y',x)))'
ID: 115 => ('+(+(x',x),+(z',y'))', D3, R7, P[], S{x26 -> +(x',x), x27 -> z', x28 -> y'}), NR: '+(+(x',x),+(z',y'))'
ID: 116 => ('+(z',+(+(x',x),y'))', D3, R8, P[], S{x29 -> z', x30 -> +(x',x), x31 -> y'}), NR: '+(z',+(+(x',x),y'))'
ID: 117 => ('+(y',+(z',+(x',x)))', D3, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 118 => ('+(z',+(+(y',x'),x))', D4, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 119 => ('+(z',+(x,+(y',x')))', D4, R8, P[2], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
SNodesPath1: +(x,+(x',+(y',z')))
TNodesPath1: +(+(x,+(x',y')),z') -> +(x,+(+(x',y'),z')) -> +(x,+(x',+(y',z')))
SNodesPath2: +(x,+(x',+(y',z'))) -> +(+(x,x'),+(y',z')) -> +(x',+(x,+(y',z'))) -> +(x,+(+(y',z'),x')) -> +(x,+(+(x',y'),z')) -> +(x,+(y',+(x',z'))) -> +(x,+(x',+(z',y'))) -> +(x,+(+(x',z'),y')) -> +(x,+(z',+(x',y'))) -> +(x,+(+(z',x'),y')) -> +(x,+(+(y',x'),z')) -> +(x,+(+(z',y'),x')) -> +(x,+(y',+(z',x'))) -> +(+(x,y'),+(z',x')) -> +(+(+(x,y'),z'),x') -> +(+(x,+(y',z')),x') -> +(+(y',z'),+(x,x')) -> +(+(+(y',z'),x),x') -> +(+(x',x),+(y',z')) -> +(+(+(y',z'),x'),x) -> +(x',+(+(y',z'),x)) -> +(+(x',+(y',z')),x) -> +(+(y',z'),+(x',x)) -> +(y',+(z',+(x',x))) -> +(y',+(+(z',x'),x)) -> +(+(y',+(z',x')),x) -> +(+(x,+(z',x')),y') -> +(+(+(x,x'),z'),y') -> +(+(x,+(x',z')),y') -> +(+(+(x,z'),x'),y') -> +(+(x,z'),+(x',y')) -> +(+(+(x,z'),y'),x') -> +(+(x,z'),+(y',x')) -> +(x,+(z',+(y',x'))) -> +(+(x,+(y',x')),z') -> +(+(+(x,x'),y'),z') -> +(+(x,+(x',y')),z')
TNodesPath2: +(+(x,+(x',y')),z')
+(x,+(x',+(y',z'))) ->= +(x,+(x',+(y',z'))) *<- +(+(x,+(x',y')),z')
+(+(x,+(x',y')),z') ->= +(+(x,+(x',y')),z') *<- +(x,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.15: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),x),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N44
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),x)
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,27),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,27),(5,28),(5,29),(5,30),(5,38),(5,39),(5,40),(5,41),(6,27),(6,35),(6,36),(6,37),(6,42),(6,43),(6,44),(6,45),(7,0),(7,13),(7,14),(7,15),(7,46),(7,47),(7,48),(7,49),(8,0),(8,20),(8,21),(8,22),(8,50),(8,51),(8,52),(8,53),(9,1),(9,16),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,28),(10,31),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,28),(11,44),(11,60),(11,61),(11,63),(11,66),(11,67),(11,68),(12,1),(12,52),(12,54),(12,56),(12,58),(12,69),(12,70),(12,71),(13,27),(13,28),(13,29),(13,30),(13,38),(13,39),(13,40),(13,41),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(15,1),(15,3),(15,5),(15,7),(15,72),(15,73),(15,74),(15,75),(16,2),(16,9),(16,76),(16,77),(16,78),(16,79),(16,80),(16,81),(17,24),(17,36),(17,68),(17,70),(17,74),(17,82),(17,83),(17,84),(18,36),(18,38),(18,64),(18,70),(18,74),(18,84),(18,85),(18,86),(19,2),(19,47),(19,61),(19,79),(19,80),(19,81),(19,87),(19,88),(20,27),(20,31),(20,32),(20,33),(20,34),(20,35),(20,36),(20,37),(21,27),(21,35),(21,36),(21,37),(21,42),(21,43),(21,44),(21,45),(22,2),(22,4),(22,6),(22,8),(22,60),(22,89),(22,90),(22,91),(23,3),(23,42),(23,55),(23,86),(23,88),(23,92),(23,93),(23,94),(24,14),(24,50),(24,62),(24,79),(24,89),(24,95),(24,96),(24,97),(25,14),(25,18),(25,66),(25,89),(25,96),(25,97),(25,98),(25,99),(26,3),(26,33),(26,69),(26,77),(26,86),(26,92),(26,94),(26,100),(27,1),(27,2),(27,3),(27,4),(27,5),(27,6),(27,7),(27,8),(28,0),(28,9),(28,10),(28,11),(28,12),(28,13),(28,14),(28,15),(29,0),(29,13),(29,14),(29,15),(29,46),(29,47),(29,48),(29,49),(30,1),(30,3),(30,5),(30,7),(30,72),(30,73),(30,74),(30,75),(31,4),(31,10),(31,82),(31,93),(31,99),(31,101),(31,102),(31,103),(32,20),(32,23),(32,67),(32,71),(32,75),(32,76),(32,104),(32,105),(33,20),(33,39),(33,57),(33,67),(33,75),(33,87),(33,97),(33,105),(34,4),(34,46),(34,54),(34,85),(34,93),(34,95),(34,102),(34,103),(35,2),(35,4),(35,6),(35,8),(35,60),(35,89),(35,90),(35,91),(36,0),(36,16),(36,17),(36,18),(36,19),(36,20),(36,21),(36,22),(37,0),(37,20),(37,21),(37,22),(37,50),(37,51),(37,52),(37,53),(38,5),(38,18),(38,66),(38,98),(38,99),(38,104),(38,106),(38,107),(39,13),(39,33),(39,69),(39,77),(39,83),(39,91),(39,100),(39,108),(40,13),(40,42),(40,55),(40,83),(40,88),(40,91),(40,93),(40,108),(41,5),(41,50),(41,62),(41,79),(41,95),(41,104),(41,106),(41,107),(42,6),(42,23),(42,65),(42,71),(42,76),(42,104),(42,109),(42,110),(43,10),(43,21),(43,72),(43,82),(43,99),(43,100),(43,101),(43,111),(44,21),(44,46),(44,54),(44,72),(44,85),(44,95),(44,100),(44,111),(45,6),(45,39),(45,57),(45,65),(45,87),(45,97),(45,109),(45,110),(46,7),(46,44),(46,66),(46,67),(46,68),(46,78),(46,112),(46,113),(47,29),(47,52),(47,69),(47,70),(47,71),(47,90),(47,101),(47,114),(48,16),(48,29),(48,55),(48,57),(48,59),(48,90),(48,101),(48,114),(49,7),(49,31),(49,62),(49,64),(49,65),(49,78),(49,112),(49,113),(50,8),(50,24),(50,59),(50,68),(50,82),(50,83),(50,115),(50,116),(51,9),(51,37),(51,73),(51,76),(51,77),(51,78),(51,98),(51,117),(52,37),(52,47),(52,61),(52,73),(52,87),(52,88),(52,98),(52,117),(53,8),(53,38),(53,59),(53,64),(53,85),(53,86),(53,115),(53,116),(54,28),(54,44),(54,60),(54,61),(54,63),(54,66),(54,67),(54,68),(55,32),(55,40),(55,48),(55,51),(55,63),(55,84),(55,96),(55,111),(56,28),(56,31),(56,60),(56,61),(56,62),(56,63),(56,64),(56,65),(57,26),(57,45),(57,48),(57,51),(57,63),(57,84),(57,102),(57,106),(58,9),(58,10),(58,11),(58,12),(58,35),(58,94),(58,107),(58,118),(59,9),(59,37),(59,73),(59,76),(59,77),(59,78),(59,98),(59,117),(60,9),(60,10),(60,11),(60,12),(60,35),(60,94),(60,107),(60,118),(61,1),(61,52),(61,54),(61,56),(61,58),(61,69),(61,70),(61,71),(62,17),(62,41),(62,43),(62,49),(62,56),(62,92),(62,105),(62,117),(63,1),(63,16),(63,54),(63,55),(63,56),(63,57),(63,58),(63,59),(64,25),(64,43),(64,49),(64,53),(64,56),(64,80),(64,105),(64,108),(65,10),(65,21),(65,72),(65,82),(65,99),(65,100),(65,101),(65,111),(66,11),(66,25),(66,34),(66,53),(66,80),(66,108),(66,109),(66,114),(67,4),(67,46),(67,54),(67,85),(67,93),(67,95),(67,102),(67,103),(68,11),(68,17),(68,34),(68,41),(68,92),(68,109),(68,114),(68,117),(69,12),(69,19),(69,26),(69,45),(69,102),(69,106),(69,112),(69,115),(70,2),(70,47),(70,61),(70,79),(70,80),(70,81),(70,87),(70,88),(71,12),(71,19),(71,32),(71,40),(71,96),(71,111),(71,112),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,81),(72,116),(72,119),(73,30),(73,50),(73,51),(73,52),(73,53),(73,103),(73,110),(73,118),(74,16),(74,17),(74,18),(74,19),(74,30),(74,103),(74,110),(74,118),(75,15),(75,31),(75,32),(75,33),(75,34),(75,81),(75,116),(75,119),(76,32),(76,40),(76,48),(76,51),(76,63),(76,84),(76,96),(76,111),(77,26),(77,45),(77,48),(77,51),(77,63),(77,84),(77,102),(77,106),(78,16),(78,29),(78,55),(78,57),(78,59),(78,90),(78,101),(78,114),(79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ID: 0 => ('+(+(+(x',y'),z'),x)', D0)
ID: 1 => ('+(+(x',y'),+(z',x))', D1, R1, P[], S{x8 -> +(x',y'), x9 -> z', x10 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 2 => ('+(+(x',+(y',z')),x)', D1, R1, P[1], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 3 => ('+(z',+(+(x',y'),x))', D1, R2, P[], S{x11 -> z', x12 -> +(x',y'), x13 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 4 => ('+(+(y',+(x',z')),x)', D1, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 5 => ('+(+(x,+(x',y')),z')', D1, R3, P[], S{x14 -> x, x15 -> +(x',y'), x16 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 6 => ('+(+(+(z',x'),y'),x)', D1, R3, P[1], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 7 => ('+(+(x,z'),+(x',y'))', D1, R4, P[], S{x17 -> x, x18 -> z', x19 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 8 => ('+(+(+(z',y'),x'),x)', D1, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 9 => ('+(x',+(y',+(z',x)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',x)}), NR: '+(x',+(y',+(z',x)))'
ID: 10 => ('+(y',+(x',+(z',x)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 11 => ('+(+(+(z',x),x'),y')', D2, R3, P[], S{x14 -> +(z',x), x15 -> x', x16 -> y'}), NR: '+(+(+(z',x),x'),y')'
ID: 12 => ('+(+(+(z',x),y'),x')', D2, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 13 => ('+(+(+(x',y'),x),z')', D2, R6, P[], S{x23 -> +(x',y'), x24 -> x, x25 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 14 => ('+(z',+(x,+(x',y')))', D2, R7, P[], S{x26 -> z', x27 -> x, x28 -> +(x',y')}), NR: '+(z',+(x,+(x',y')))'
ID: 15 => ('+(x,+(z',+(x',y')))', D2, R8, P[], S{x29 -> x, x30 -> z', x31 -> +(x',y')}), NR: '+(x,+(z',+(x',y')))'
ID: 16 => ('+(x',+(+(y',z'),x))', D2, R1, P[], S{x8 -> x', x9 -> +(y',z'), x10 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 17 => ('+(+(y',z'),+(x',x))', D2, R2, P[], S{x11 -> +(y',z'), x12 -> x', x13 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 18 => ('+(+(x,x'),+(y',z'))', D2, R3, P[], S{x14 -> x, x15 -> x', x16 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 19 => ('+(+(x,+(y',z')),x')', D2, R4, P[], S{x17 -> x, x18 -> +(y',z'), x19 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 20 => ('+(+(+(x',z'),y'),x)', D2, R6, P[1], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 21 => ('+(+(y',+(z',x')),x)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 22 => ('+(+(z',+(y',x')),x)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 23 => ('+(z',+(x',+(y',x)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 24 => ('+(z',+(y',+(x',x)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 25 => ('+(z',+(+(x,x'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 26 => ('+(z',+(+(x,y'),x'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 27 => ('+(+(z',+(x',y')),x)', D2, R5, P[], S{x20 -> z', x21 -> +(x',y'), x22 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 28 => ('+(+(z',x),+(x',y'))', D2, R6, P[], S{x23 -> z', x24 -> x, x25 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 29 => ('+(+(x',y'),+(x,z'))', D2, R7, P[], S{x26 -> +(x',y'), x27 -> x, x28 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 30 => ('+(x,+(+(x',y'),z'))', D2, R8, P[], S{x29 -> x, x30 -> +(x',y'), x31 -> z'}), NR: '+(x,+(+(x',y'),z'))'
ID: 31 => ('+(y',+(+(x',z'),x))', D2, R1, P[], S{x8 -> y', x9 -> +(x',z'), x10 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 32 => ('+(+(x',z'),+(y',x))', D2, R2, P[], S{x11 -> +(x',z'), x12 -> y', x13 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 33 => ('+(+(x,y'),+(x',z'))', D2, R3, P[], S{x14 -> x, x15 -> y', x16 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 34 => ('+(+(x,+(x',z')),y')', D2, R4, P[], S{x17 -> x, x18 -> +(x',z'), x19 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 35 => ('+(+(+(y',x'),z'),x)', D2, R5, P[1], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 36 => ('+(+(+(y',z'),x'),x)', D2, R6, P[1], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 37 => ('+(+(x',+(z',y')),x)', D2, R7, P[1], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 38 => ('+(+(+(x,x'),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 39 => ('+(+(+(x,y'),x'),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 40 => ('+(+(x',+(y',x)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 41 => ('+(+(y',+(x',x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 42 => ('+(+(z',x'),+(y',x))', D2, R1, P[], S{x8 -> +(z',x'), x9 -> y', x10 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 43 => ('+(y',+(+(z',x'),x))', D2, R2, P[], S{x11 -> y', x12 -> +(z',x'), x13 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 44 => ('+(+(x,+(z',x')),y')', D2, R3, P[], S{x14 -> x, x15 -> +(z',x'), x16 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 45 => ('+(+(x,y'),+(z',x'))', D2, R4, P[], S{x17 -> x, x18 -> y', x19 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 46 => ('+(+(+(x,z'),x'),y')', D2, R5, P[], S{x20 -> +(x,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 47 => ('+(+(+(x,z'),y'),x')', D2, R6, P[], S{x23 -> +(x,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(x,z'),y'),x')'
ID: 48 => ('+(x',+(y',+(x,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 49 => ('+(y',+(x',+(x,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(x,z')}), NR: '+(y',+(x',+(x,z')))'
ID: 50 => ('+(+(z',y'),+(x',x))', D2, R1, P[], S{x8 -> +(z',y'), x9 -> x', x10 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 51 => ('+(x',+(+(z',y'),x))', D2, R2, P[], S{x11 -> x', x12 -> +(z',y'), x13 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 52 => ('+(+(x,+(z',y')),x')', D2, R3, P[], S{x14 -> x, x15 -> +(z',y'), x16 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 53 => ('+(+(x,x'),+(z',y'))', D2, R4, P[], S{x17 -> x, x18 -> x', x19 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 54 => ('+(+(x',+(z',x)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(z',x), x25 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 55 => ('+(x',+(+(y',x),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 56 => ('+(y',+(+(z',x),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x), x28 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 57 => ('+(x',+(z',+(x,y')))', D3, R7, P[2], S{x26 -> z', x27 -> x, x28 -> y'}), NR: '+(z',+(x,y'))'
ID: 58 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 59 => ('+(x',+(x,+(z',y')))', D3, R8, P[2], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
ID: 60 => ('+(+(y',x'),+(z',x))', D3, R5, P[], S{x20 -> y', x21 -> x', x22 -> +(z',x)}), NR: '+(+(y',x'),+(z',x))'
ID: 61 => ('+(+(y',+(z',x)),x')', D3, R6, P[], S{x23 -> y', x24 -> +(z',x), x25 -> x'}), NR: '+(+(y',+(z',x)),x')'
ID: 62 => ('+(y',+(+(x',x),z'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> z'}), NR: '+(+(x',x),z')'
ID: 63 => ('+(x',+(+(z',x),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',x), x28 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 64 => ('+(y',+(z',+(x,x')))', D3, R7, P[2], S{x26 -> z', x27 -> x, x28 -> x'}), NR: '+(z',+(x,x'))'
ID: 65 => ('+(y',+(x,+(z',x')))', D3, R8, P[2], S{x29 -> x, x30 -> z', x31 -> x'}), NR: '+(x,+(z',x'))'
ID: 66 => ('+(+(z',+(x,x')),y')', D3, R1, P[1], S{x8 -> z', x9 -> x, x10 -> x'}), NR: '+(z',+(x,x'))'
ID: 67 => ('+(+(+(x',z'),x),y')', D3, R3, P[1], S{x14 -> x', x15 -> z', x16 -> x}), NR: '+(+(x',z'),x)'
ID: 68 => ('+(+(+(x',x),z'),y')', D3, R4, P[1], S{x17 -> x', x18 -> x, x19 -> z'}), NR: '+(+(x',x),z')'
ID: 69 => ('+(+(z',+(x,y')),x')', D3, R1, P[1], S{x8 -> z', x9 -> x, x10 -> y'}), NR: '+(z',+(x,y'))'
ID: 70 => ('+(+(+(y',z'),x),x')', D3, R3, P[1], S{x14 -> y', x15 -> z', x16 -> x}), NR: '+(+(y',z'),x)'
ID: 71 => ('+(+(+(y',x),z'),x')', D3, R4, P[1], S{x17 -> y', x18 -> x, x19 -> z'}), NR: '+(+(y',x),z')'
ID: 72 => ('+(x,+(+(z',x'),y'))', D3, R5, P[2], S{x20 -> z', x21 -> x', x22 -> y'}), NR: '+(+(z',x'),y')'
ID: 73 => ('+(x,+(+(z',y'),x'))', D3, R6, P[2], S{x23 -> z', x24 -> y', x25 -> x'}), NR: '+(+(z',y'),x')'
ID: 74 => ('+(x,+(x',+(y',z')))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> z'}), NR: '+(x',+(y',z'))'
ID: 75 => ('+(x,+(y',+(x',z')))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> z'}), NR: '+(y',+(x',z'))'
ID: 76 => ('+(x',+(z',+(y',x)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 77 => ('+(x',+(+(x,y'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 78 => ('+(x',+(+(x,z'),y'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 79 => ('+(+(x',x),+(y',z'))', D3, R6, P[], S{x23 -> x', x24 -> x, x25 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 80 => ('+(+(y',z'),+(x,x'))', D3, R7, P[], S{x26 -> +(y',z'), x27 -> x, x28 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 81 => ('+(x,+(+(y',z'),x'))', D3, R8, P[], S{x29 -> x, x30 -> +(y',z'), x31 -> x'}), NR: '+(x,+(+(y',z'),x'))'
ID: 82 => ('+(y',+(z',+(x',x)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 83 => ('+(+(+(x',x),y'),z')', D3, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 84 => ('+(x',+(x,+(y',z')))', D3, R7, P[], S{x26 -> x', x27 -> x, x28 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 85 => ('+(+(+(x,x'),z'),y')', D3, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 86 => ('+(z',+(y',+(x,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 87 => ('+(+(+(x,y'),z'),x')', D3, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 88 => ('+(+(z',+(y',x)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 89 => ('+(z',+(+(y',x'),x))', D3, R1, P[], S{x8 -> z', x9 -> +(y',x'), x10 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 90 => ('+(+(x,z'),+(y',x'))', D3, R3, P[], S{x14 -> x, x15 -> z', x16 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 91 => ('+(+(x,+(y',x')),z')', D3, R4, P[], S{x17 -> x, x18 -> +(y',x'), x19 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 92 => ('+(z',+(+(x',x),y'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> y'}), NR: '+(+(x',x),y')'
ID: 93 => ('+(+(y',x),+(x',z'))', D3, R8, P[], S{x29 -> +(y',x), x30 -> x', x31 -> z'}), NR: '+(+(y',x),+(x',z'))'
ID: 94 => ('+(z',+(x,+(y',x')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
ID: 95 => ('+(+(z',+(x',x)),y')', D3, R6, P[], S{x23 -> z', x24 -> +(x',x), x25 -> y'}), NR: '+(+(z',+(x',x)),y')'
ID: 96 => ('+(z',+(+(y',x),x'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> x'}), NR: '+(+(y',x),x')'
ID: 97 => ('+(z',+(x',+(x,y')))', D3, R7, P[2], S{x26 -> x', x27 -> x, x28 -> y'}), NR: '+(x',+(x,y'))'
ID: 98 => ('+(+(z',y'),+(x,x'))', D3, R6, P[], S{x23 -> z', x24 -> y', x25 -> +(x,x')}), NR: '+(+(z',y'),+(x,x'))'
ID: 99 => ('+(y',+(+(x,x'),z'))', D3, R8, P[], S{x29 -> y', x30 -> +(x,x'), x31 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 100 => ('+(+(z',x'),+(x,y'))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(x,y')}), NR: '+(+(z',x'),+(x,y'))'
ID: 101 => ('+(y',+(+(x,z'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> x'}), NR: '+(+(x,z'),x')'
ID: 102 => ('+(+(x',z'),+(x,y'))', D3, R7, P[], S{x26 -> +(x',z'), x27 -> x, x28 -> y'}), NR: '+(+(x',z'),+(x,y'))'
ID: 103 => ('+(x,+(+(x',z'),y'))', D3, R8, P[], S{x29 -> x, x30 -> +(x',z'), x31 -> y'}), NR: '+(x,+(+(x',z'),y'))'
ID: 104 => ('+(+(+(y',x),x'),z')', D3, R3, P[], S{x14 -> +(y',x), x15 -> x', x16 -> z'}), NR: '+(+(+(y',x),x'),z')'
ID: 105 => ('+(y',+(x,+(x',z')))', D3, R7, P[], S{x26 -> y', x27 -> x, x28 -> +(x',z')}), NR: '+(y',+(x,+(x',z')))'
ID: 106 => ('+(+(x',+(x,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 107 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 108 => ('+(+(y',+(x,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 109 => ('+(+(+(z',x'),x),y')', D3, R6, P[], S{x23 -> +(z',x'), x24 -> x, x25 -> y'}), NR: '+(+(+(z',x'),x),y')'
ID: 110 => ('+(x,+(y',+(z',x')))', D3, R8, P[], S{x29 -> x, x30 -> y', x31 -> +(z',x')}), NR: '+(x,+(y',+(z',x')))'
ID: 111 => ('+(+(y',x),+(z',x'))', D3, R6, P[], S{x23 -> y', x24 -> x, x25 -> +(z',x')}), NR: '+(+(y',x),+(z',x'))'
ID: 112 => ('+(+(y',+(x,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(x,z'), x16 -> x'}), NR: '+(+(y',+(x,z')),x')'
ID: 113 => ('+(+(y',x'),+(x,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 114 => ('+(+(x',+(x,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 115 => ('+(+(+(z',y'),x),x')', D3, R6, P[], S{x23 -> +(z',y'), x24 -> x, x25 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 116 => ('+(x,+(x',+(z',y')))', D3, R8, P[], S{x29 -> x, x30 -> x', x31 -> +(z',y')}), NR: '+(x,+(x',+(z',y')))'
ID: 117 => ('+(+(x',x),+(z',y'))', D3, R6, P[], S{x23 -> x', x24 -> x, x25 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 118 => ('+(x,+(z',+(y',x')))', D4, R2, P[], S{x11 -> x, x12 -> z', x13 -> +(y',x')}), NR: '+(x,+(z',+(y',x')))'
ID: 119 => ('+(x,+(+(y',x'),z'))', D4, R4, P[2], S{x17 -> y', x18 -> x', x19 -> z'}), NR: '+(+(y',x'),z')'
t: +(+(x,x'),+(z',y'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,16),(3,18),(3,20),(3,22),(3,24),(3,25),(3,26),(3,27),(4,0),(4,10),(4,12),(4,14),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,22),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,22),(7,39),(7,41),(7,43),(7,46),(7,47),(7,48),(7,49),(8,0),(8,33),(8,35),(8,37),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,16),(10,18),(10,20),(10,22),(10,24),(10,25),(10,26),(10,27),(11,20),(11,40),(11,60),(11,61),(11,62),(11,63),(11,64),(11,65),(12,16),(12,17),(12,18),(12,19),(12,20),(12,21),(12,22),(12,23),(13,20),(13,47),(13,60),(13,61),(13,62),(13,66),(13,67),(13,68),(14,1),(14,2),(14,3),(14,4),(14,69),(14,70),(14,71),(14,72),(15,1),(15,51),(15,54),(15,55),(15,56),(15,73),(15,74),(15,75),(16,1),(16,2),(16,3),(16,4),(16,69),(16,70),(16,71),(16,72),(17,2),(17,34),(17,66),(17,76),(17,77),(17,78),(17,79),(17,80),(18,0),(18,10),(18,12),(18,14),(18,28),(18,29),(18,30),(18,31),(19,12),(19,42),(19,73),(19,81),(19,82),(19,83),(19,84),(19,85),(20,0),(20,9),(20,10),(20,11),(20,12),(20,13),(20,14),(20,15),(21,12),(21,46),(21,58),(21,81),(21,82),(21,83),(21,86),(21,87),(22,1),(22,2),(22,3),(22,4),(22,5),(22,6),(22,7),(22,8),(23,2),(23,50),(23,64),(23,76),(23,77),(23,78),(23,88),(23,89),(24,3),(24,46),(24,58),(24,86),(24,87),(24,90),(24,91),(24,92),(25,10),(25,50),(25,64),(25,88),(25,89),(25,93),(25,94),(25,95),(26,10),(26,34),(26,66),(26,79),(26,80),(26,93),(26,94),(26,95),(27,3),(27,42),(27,73),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,47),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,18),(29,51),(29,73),(29,74),(29,75),(29,99),(29,100),(29,101),(30,18),(30,32),(30,57),(30,58),(30,59),(30,99),(30,100),(30,101),(31,4),(31,40),(31,63),(31,64),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,84),(32,88),(32,97),(32,102),(32,103),(32,104),(33,22),(33,39),(33,41),(33,43),(33,46),(33,47),(33,48),(33,49),(34,17),(34,43),(34,63),(34,71),(34,74),(34,91),(34,105),(34,106),(35,22),(35,39),(35,40),(35,41),(35,42),(35,43),(35,44),(35,45),(36,25),(36,43),(36,68),(36,71),(36,74),(36,83),(36,106),(36,107),(37,5),(37,6),(37,7),(37,8),(37,60),(37,81),(37,93),(37,99),(38,5),(38,29),(38,62),(38,87),(38,88),(38,103),(38,104),(38,108),(39,5),(39,6),(39,7),(39,8),(39,60),(39,81),(39,93),(39,99),(40,6),(40,11),(40,79),(40,86),(40,101),(40,107),(40,109),(40,110),(41,0),(41,33),(41,35),(41,37),(41,50),(41,51),(41,52),(41,53),(42,19),(42,35),(42,57),(42,67),(42,72),(42,95),(42,108),(42,111),(43,0),(43,32),(43,33),(43,34),(43,35),(43,36),(43,37),(43,38),(44,24),(44,35),(44,67),(44,72),(44,75),(44,77),(44,102),(44,111),(45,6),(45,28),(45,55),(45,86),(45,89),(45,105),(45,109),(45,110),(46,7),(46,24),(46,65),(46,75),(46,77),(46,102),(46,112),(46,113),(47,28),(47,33),(47,55),(47,69),(47,85),(47,89),(47,105),(47,114),(48,11),(48,33),(48,69),(48,79),(48,85),(48,101),(48,107),(48,114),(49,7),(49,19),(49,57),(49,65),(49,95),(49,108),(49,112),(49,113),(50,8),(50,25),(50,59),(50,68),(50,83),(50,107),(50,115),(50,116),(51,29),(51,41),(51,62),(51,70),(51,80),(51,87),(51,108),(51,117),(52,9),(52,41),(52,70),(52,80),(52,84),(52,97),(52,102),(52,117),(53,8),(53,17),(53,59),(53,63),(53,91),(53,105),(53,115),(53,116),(54,20),(54,40),(54,60),(54,61),(54,62),(54,63),(54,64),(54,65),(55,20),(55,47),(55,60),(55,61),(55,62),(55,66),(55,67),(55,68),(56,9),(56,11),(56,13),(56,15),(56,39),(56,78),(56,92),(56,118),(57,27),(57,30),(57,49),(57,52),(57,61),(57,76),(57,106),(57,109),(58,21),(58,30),(58,44),(58,52),(58,61),(58,94),(58,106),(58,114),(59,9),(59,41),(59,70),(59,80),(59,84),(59,97),(59,102),(59,117),(60,9),(60,11),(60,13),(60,15),(60,39),(60,78),(60,92),(60,118),(61,1),(61,32),(61,54),(61,55),(61,56),(61,57),(61,58),(61,59),(62,1),(62,51),(62,54),(62,55),(62,56),(62,73),(62,74),(62,75),(63,26),(63,31),(63,48),(63,53),(63,54),(63,82),(63,103),(63,111),(64,23),(64,31),(64,36),(64,48),(64,54),(64,90),(64,111),(64,117),(65,11),(65,33),(65,69),(65,79),(65,85),(65,101),(65,107),(65,114),(66,13),(66,26),(66,45),(66,53),(66,82),(66,100),(66,103),(66,112),(67,6),(67,28),(67,55),(67,86),(67,89),(67,105),(67,109),(67,110),(68,13),(68,23),(68,36),(68,45),(68,90),(68,100),(68,112),(68,117),(69,14),(69,46),(69,47),(69,48),(69,49),(69,104),(69,116),(69,119),(70,16),(70,50),(70,51),(70,52),(70,53),(70,110),(70,113),(70,118),(71,16),(71,32),(71,34),(71,36),(71,38),(71,110),(71,113),(71,118),(72,14),(72,40),(72,42),(72,44),(72,45),(72,104),(72,116),(72,119),(73,15),(73,27),(73,38),(73,49),(73,76),(73,96),(73,109),(73,115),(74,5),(74,29),(74,62),(74,87),(74,88),(74,103),(74,104),(74,108),(75,15),(75,21),(75,38),(75,44),(75,94),(75,96),(75,114),(75,115),(76,12),(76,42),(76,73),(76,81),(76,82),(76,83),(76,84),(76,85),(77,12),(77,46),(77,58),(77,81),(77,82),(77,83),(77,86),(77,87),(78,17),(78,19),(78,21),(78,23),(78,37),(78,56),(78,98),(78,119),(79,26),(79,31),(79,48),(79,53),(79,54),(79,82),(79,103),(79,111),(80,8),(80,17),(80,59),(80,63),(80,91),(80,105),(80,115),(80,116),(81,17),(81,19),(81,21),(81,23),(81,37),(81,56),(81,98),(81,119),(82,2),(82,34),(82,66),(82,76),(82,77),(82,78),(82,79),(82,80),(83,2),(83,50),(83,64),(83,76),(83,77),(83,78),(83,88),(83,89),(84,27),(84,30),(84,49),(84,52),(84,61),(84,76),(84,106),(84,109),(85,7),(85,19),(85,57),(85,65),(85,95),(85,108),(85,112),(85,113),(86,24),(86,35),(86,67),(86,72),(86,75),(86,77),(86,102),(86,111),(87,15),(87,21),(87,38),(87,44),(87,94),(87,96),(87,114),(87,115),(88,25),(88,43),(88,68),(88,71),(88,74),(88,83),(88,106),(88,107),(89,13),(89,23),(89,36),(89,45),(89,90),(89,100),(89,112),(89,117),(90,10),(90,50),(90,64),(90,88),(90,89),(90,93),(90,94),(90,95),(91,10),(91,34),(91,66),(91,79),(91,80),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,37),(92,56),(92,98),(92,119),(93,24),(93,25),(93,26),(93,27),(93,37),(93,56),(93,98),(93,119),(94,3),(94,46),(94,58),(94,86),(94,87),(94,90),(94,91),(94,92),(95,3),(95,42),(95,73),(95,84),(95,85),(95,90),(95,91),(95,92),(96,18),(96,51),(96,73),(96,74),(96,75),(96,99),(96,100),(96,101),(97,18),(97,32),(97,57),(97,58),(97,59),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,39),(98,78),(98,92),(98,118),(99,28),(99,29),(99,30),(99,31),(99,39),(99,78),(99,92),(99,118),(100,4),(100,47),(100,66),(100,67),(100,68),(100,96),(100,97),(100,98),(101,4),(101,40),(101,63),(101,64),(101,65),(101,96),(101,97),(101,98),(102,21),(102,30),(102,44),(102,52),(102,61),(102,94),(102,106),(102,114),(103,17),(103,43),(103,63),(103,71),(103,74),(103,91),(103,105),(103,106),(104,16),(104,32),(104,34),(104,36),(104,38),(104,110),(104,113),(104,118),(105,13),(105,26),(105,45),(105,53),(105,82),(105,100),(105,103),(105,112),(106,5),(106,9),(106,84),(106,88),(106,97),(106,102),(106,103),(106,104),(107,23),(107,31),(107,36),(107,48),(107,54),(107,90),(107,111),(107,117),(108,15),(108,27),(108,38),(108,49),(108,76),(108,96),(108,109),(108,115),(109,19),(109,35),(109,57),(109,67),(109,72),(109,95),(109,108),(109,111),(110,14),(110,40),(110,42),(110,44),(110,45),(110,104),(110,116),(110,119),(111,6),(111,11),(111,79),(111,86),(111,101),(111,107),(111,109),(111,110),(112,28),(112,33),(112,55),(112,69),(112,85),(112,89),(112,105),(112,114),(113,14),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,24),(114,65),(114,75),(114,77),(114,102),(114,112),(114,113),(115,29),(115,41),(115,62),(115,70),(115,80),(115,87),(115,108),(115,117),(116,16),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,25),(117,59),(117,68),(117,83),(117,107),(117,115),(117,116),(118,60),(118,69),(118,70),(118,71),(118,72),(118,81),(118,93),(118,99),(119,60),(119,69),(119,70),(119,71),(119,72),(119,81),(119,93),(119,99)]
ID: 0 => ('+(+(x,x'),+(z',y'))', D0)
ID: 1 => ('+(x,+(x',+(z',y')))', D1, R1, P[], S{x8 -> x, x9 -> x', x10 -> +(z',y')}), NR: '+(x,+(x',+(z',y')))'
ID: 2 => ('+(x',+(x,+(z',y')))', D1, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(z',y')}), NR: '+(x',+(x,+(z',y')))'
ID: 3 => ('+(+(+(z',y'),x),x')', D1, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 4 => ('+(+(+(z',y'),x'),x)', D1, R4, P[], S{x17 -> +(z',y'), x18 -> x', x19 -> x}), NR: '+(+(+(z',y'),x'),x)'
ID: 5 => ('+(+(+(x,x'),z'),y')', D1, R5, P[], S{x20 -> +(x,x'), x21 -> z', x22 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 6 => ('+(+(+(x,x'),y'),z')', D1, R6, P[], S{x23 -> +(x,x'), x24 -> y', x25 -> z'}), NR: '+(+(+(x,x'),y'),z')'
ID: 7 => ('+(z',+(y',+(x,x')))', D1, R7, P[], S{x26 -> z', x27 -> y', x28 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 8 => ('+(y',+(z',+(x,x')))', D1, R8, P[], S{x29 -> y', x30 -> z', x31 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 9 => ('+(x,+(+(x',z'),y'))', D2, R5, P[2], S{x20 -> x', x21 -> z', x22 -> y'}), NR: '+(+(x',z'),y')'
ID: 10 => ('+(+(x,+(z',y')),x')', D2, R6, P[], S{x23 -> x, x24 -> +(z',y'), x25 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 11 => ('+(x,+(+(x',y'),z'))', D2, R6, P[2], S{x23 -> x', x24 -> y', x25 -> z'}), NR: '+(+(x',y'),z')'
ID: 12 => ('+(x',+(+(z',y'),x))', D2, R7, P[], S{x26 -> x', x27 -> +(z',y'), x28 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 13 => ('+(x,+(z',+(y',x')))', D2, R7, P[2], S{x26 -> z', x27 -> y', x28 -> x'}), NR: '+(z',+(y',x'))'
ID: 14 => ('+(+(z',y'),+(x',x))', D2, R8, P[], S{x29 -> +(z',y'), x30 -> x', x31 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 15 => ('+(x,+(y',+(z',x')))', D2, R8, P[2], S{x29 -> y', x30 -> z', x31 -> x'}), NR: '+(y',+(z',x'))'
ID: 16 => ('+(+(x',x),+(z',y'))', D2, R5, P[], S{x20 -> x', x21 -> x, x22 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 17 => ('+(x',+(+(x,z'),y'))', D2, R5, P[2], S{x20 -> x, x21 -> z', x22 -> y'}), NR: '+(+(x,z'),y')'
ID: 18 => ('+(+(x',+(z',y')),x)', D2, R6, P[], S{x23 -> x', x24 -> +(z',y'), x25 -> x}), NR: '+(+(x',+(z',y')),x)'
ID: 19 => ('+(x',+(+(x,y'),z'))', D2, R6, P[2], S{x23 -> x, x24 -> y', x25 -> z'}), NR: '+(+(x,y'),z')'
ID: 20 => ('+(x,+(+(z',y'),x'))', D2, R7, P[], S{x26 -> x, x27 -> +(z',y'), x28 -> x'}), NR: '+(x,+(+(z',y'),x'))'
ID: 21 => ('+(x',+(z',+(y',x)))', D2, R7, P[2], S{x26 -> z', x27 -> y', x28 -> x}), NR: '+(z',+(y',x))'
ID: 22 => ('+(+(z',y'),+(x,x'))', D2, R8, P[], S{x29 -> +(z',y'), x30 -> x, x31 -> x'}), NR: '+(+(z',y'),+(x,x'))'
ID: 23 => ('+(x',+(y',+(z',x)))', D2, R8, P[2], S{x29 -> y', x30 -> z', x31 -> x}), NR: '+(y',+(z',x))'
ID: 24 => ('+(+(z',+(y',x)),x')', D2, R1, P[1], S{x8 -> z', x9 -> y', x10 -> x}), NR: '+(z',+(y',x))'
ID: 25 => ('+(+(y',+(z',x)),x')', D2, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x}), NR: '+(y',+(z',x))'
ID: 26 => ('+(+(+(x,z'),y'),x')', D2, R3, P[1], S{x14 -> x, x15 -> z', x16 -> y'}), NR: '+(+(x,z'),y')'
ID: 27 => ('+(+(+(x,y'),z'),x')', D2, R4, P[1], S{x17 -> x, x18 -> y', x19 -> z'}), NR: '+(+(x,y'),z')'
ID: 28 => ('+(+(z',+(y',x')),x)', D2, R1, P[1], S{x8 -> z', x9 -> y', x10 -> x'}), NR: '+(z',+(y',x'))'
ID: 29 => ('+(+(y',+(z',x')),x)', D2, R2, P[1], S{x11 -> y', x12 -> z', x13 -> x'}), NR: '+(y',+(z',x'))'
ID: 30 => ('+(+(+(x',z'),y'),x)', D2, R3, P[1], S{x14 -> x', x15 -> z', x16 -> y'}), NR: '+(+(x',z'),y')'
ID: 31 => ('+(+(+(x',y'),z'),x)', D2, R4, P[1], S{x17 -> x', x18 -> y', x19 -> z'}), NR: '+(+(x',y'),z')'
ID: 32 => ('+(+(x,+(x',z')),y')', D2, R1, P[1], S{x8 -> x, x9 -> x', x10 -> z'}), NR: '+(x,+(x',z'))'
ID: 33 => ('+(z',+(+(x,x'),y'))', D2, R2, P[], S{x11 -> z', x12 -> +(x,x'), x13 -> y'}), NR: '+(z',+(+(x,x'),y'))'
ID: 34 => ('+(+(x',+(x,z')),y')', D2, R2, P[1], S{x11 -> x', x12 -> x, x13 -> z'}), NR: '+(x',+(x,z'))'
ID: 35 => ('+(+(y',+(x,x')),z')', D2, R3, P[], S{x14 -> y', x15 -> +(x,x'), x16 -> z'}), NR: '+(+(y',+(x,x')),z')'
ID: 36 => ('+(+(+(z',x),x'),y')', D2, R3, P[1], S{x14 -> z', x15 -> x, x16 -> x'}), NR: '+(+(z',x),x')'
ID: 37 => ('+(+(y',z'),+(x,x'))', D2, R4, P[], S{x17 -> y', x18 -> z', x19 -> +(x,x')}), NR: '+(+(y',z'),+(x,x'))'
ID: 38 => ('+(+(+(z',x'),x),y')', D2, R4, P[1], S{x17 -> z', x18 -> x', x19 -> x}), NR: '+(+(z',x'),x)'
ID: 39 => ('+(+(x,x'),+(y',z'))', D2, R1, P[], S{x8 -> +(x,x'), x9 -> y', x10 -> z'}), NR: '+(+(x,x'),+(y',z'))'
ID: 40 => ('+(+(x,+(x',y')),z')', D2, R1, P[1], S{x8 -> x, x9 -> x', x10 -> y'}), NR: '+(x,+(x',y'))'
ID: 41 => ('+(y',+(+(x,x'),z'))', D2, R2, P[], S{x11 -> y', x12 -> +(x,x'), x13 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 42 => ('+(+(x',+(x,y')),z')', D2, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 43 => ('+(+(z',+(x,x')),y')', D2, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 44 => ('+(+(+(y',x),x'),z')', D2, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 45 => ('+(+(+(y',x'),x),z')', D2, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 46 => ('+(z',+(+(y',x),x'))', D2, R5, P[2], S{x20 -> y', x21 -> x, x22 -> x'}), NR: '+(+(y',x),x')'
ID: 47 => ('+(z',+(+(y',x'),x))', D2, R6, P[2], S{x23 -> y', x24 -> x', x25 -> x}), NR: '+(+(y',x'),x)'
ID: 48 => ('+(z',+(x,+(x',y')))', D2, R7, P[2], S{x26 -> x, x27 -> x', x28 -> y'}), NR: '+(x,+(x',y'))'
ID: 49 => ('+(z',+(x',+(x,y')))', D2, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y'}), NR: '+(x',+(x,y'))'
ID: 50 => ('+(y',+(+(z',x),x'))', D2, R5, P[2], S{x20 -> z', x21 -> x, x22 -> x'}), NR: '+(+(z',x),x')'
ID: 51 => ('+(y',+(+(z',x'),x))', D2, R6, P[2], S{x23 -> z', x24 -> x', x25 -> x}), NR: '+(+(z',x'),x)'
ID: 52 => ('+(y',+(x,+(x',z')))', D2, R7, P[2], S{x26 -> x, x27 -> x', x28 -> z'}), NR: '+(x,+(x',z'))'
ID: 53 => ('+(y',+(x',+(x,z')))', D2, R8, P[2], S{x29 -> x', x30 -> x, x31 -> z'}), NR: '+(x',+(x,z'))'
ID: 54 => ('+(x,+(z',+(x',y')))', D3, R2, P[2], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 55 => ('+(x,+(+(y',x'),z'))', D3, R3, P[2], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 56 => ('+(x,+(+(y',z'),x'))', D3, R4, P[2], S{x17 -> y', x18 -> z', x19 -> x'}), NR: '+(+(y',z'),x')'
ID: 57 => ('+(+(x,y'),+(x',z'))', D3, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 58 => ('+(+(x',z'),+(y',x))', D3, R7, P[], S{x26 -> +(x',z'), x27 -> y', x28 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 59 => ('+(y',+(+(x',z'),x))', D3, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 60 => ('+(x,+(x',+(y',z')))', D3, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 61 => ('+(x,+(y',+(x',z')))', D3, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 62 => ('+(x,+(+(z',x'),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 63 => ('+(+(x,z'),+(x',y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 64 => ('+(+(x',y'),+(z',x))', D3, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 65 => ('+(z',+(+(x',y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 66 => ('+(+(x,z'),+(y',x'))', D3, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 67 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 68 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 69 => ('+(z',+(y',+(x',x)))', D3, R1, P[], S{x8 -> z', x9 -> y', x10 -> +(x',x)}), NR: '+(z',+(y',+(x',x)))'
ID: 70 => ('+(y',+(z',+(x',x)))', D3, R2, P[], S{x11 -> y', x12 -> z', x13 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 71 => ('+(+(+(x',x),z'),y')', D3, R3, P[], S{x14 -> +(x',x), x15 -> z', x16 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 72 => ('+(+(+(x',x),y'),z')', D3, R4, P[], S{x17 -> +(x',x), x18 -> y', x19 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 73 => ('+(+(x,y'),+(z',x'))', D3, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 74 => ('+(+(x,+(z',x')),y')', D3, R6, P[], S{x23 -> x, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 75 => ('+(+(z',x'),+(y',x))', D3, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 76 => ('+(x',+(z',+(x,y')))', D3, R2, P[2], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 77 => ('+(x',+(+(y',x),z'))', D3, R3, P[2], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 78 => ('+(x',+(+(y',z'),x))', D3, R4, P[2], S{x17 -> y', x18 -> z', x19 -> x}), NR: '+(+(y',z'),x)'
ID: 79 => ('+(+(x',y'),+(x,z'))', D3, R6, P[], S{x23 -> x', x24 -> y', x25 -> +(x,z')}), NR: '+(+(x',y'),+(x,z'))'
ID: 80 => ('+(y',+(+(x,z'),x'))', D3, R8, P[], S{x29 -> y', x30 -> +(x,z'), x31 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 81 => ('+(x',+(x,+(y',z')))', D3, R1, P[2], S{x8 -> x, x9 -> y', x10 -> z'}), NR: '+(x,+(y',z'))'
ID: 82 => ('+(x',+(y',+(x,z')))', D3, R2, P[2], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 83 => ('+(x',+(+(z',x),y'))', D3, R3, P[2], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 84 => ('+(+(x',z'),+(x,y'))', D3, R6, P[], S{x23 -> x', x24 -> z', x25 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 85 => ('+(z',+(+(x,y'),x'))', D3, R8, P[], S{x29 -> z', x30 -> +(x,y'), x31 -> x'}), NR: '+(z',+(+(x,y'),x'))'
ID: 86 => ('+(+(x',+(y',x)),z')', D3, R6, P[], S{x23 -> x', x24 -> +(y',x), x25 -> z'}), NR: '+(+(x',+(y',x)),z')'
ID: 87 => ('+(+(y',x),+(z',x'))', D3, R8, P[], S{x29 -> +(y',x), x30 -> z', x31 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 88 => ('+(+(x',+(z',x)),y')', D3, R6, P[], S{x23 -> x', x24 -> +(z',x), x25 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 89 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 90 => ('+(+(+(z',x),y'),x')', D3, R6, P[1], S{x23 -> z', x24 -> x, x25 -> y'}), NR: '+(+(z',x),y')'
ID: 91 => ('+(+(y',+(x,z')),x')', D3, R7, P[1], S{x26 -> y', x27 -> x, x28 -> z'}), NR: '+(y',+(x,z'))'
ID: 92 => ('+(+(x,+(y',z')),x')', D3, R8, P[1], S{x29 -> x, x30 -> y', x31 -> z'}), NR: '+(x,+(y',z'))'
ID: 93 => ('+(+(+(y',z'),x),x')', D3, R5, P[1], S{x20 -> y', x21 -> z', x22 -> x}), NR: '+(+(y',z'),x)'
ID: 94 => ('+(+(+(y',x),z'),x')', D3, R6, P[1], S{x23 -> y', x24 -> x, x25 -> z'}), NR: '+(+(y',x),z')'
ID: 95 => ('+(+(z',+(x,y')),x')', D3, R7, P[1], S{x26 -> z', x27 -> x, x28 -> y'}), NR: '+(z',+(x,y'))'
ID: 96 => ('+(+(+(z',x'),y'),x)', D3, R6, P[1], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 97 => ('+(+(y',+(x',z')),x)', D3, R7, P[1], S{x26 -> y', x27 -> x', x28 -> z'}), NR: '+(y',+(x',z'))'
ID: 98 => ('+(+(x',+(y',z')),x)', D3, R8, P[1], S{x29 -> x', x30 -> y', x31 -> z'}), NR: '+(x',+(y',z'))'
ID: 99 => ('+(+(+(y',z'),x'),x)', D3, R5, P[1], S{x20 -> y', x21 -> z', x22 -> x'}), NR: '+(+(y',z'),x')'
ID: 100 => ('+(+(+(y',x'),z'),x)', D3, R6, P[1], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 101 => ('+(+(z',+(x',y')),x)', D3, R7, P[1], S{x26 -> z', x27 -> x', x28 -> y'}), NR: '+(z',+(x',y'))'
ID: 102 => ('+(+(y',x),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(x',z')}), NR: '+(+(y',x),+(x',z'))'
ID: 103 => ('+(+(+(x,z'),x'),y')', D3, R6, P[1], S{x23 -> x, x24 -> z', x25 -> x'}), NR: '+(+(x,z'),x')'
ID: 104 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 105 => ('+(+(y',x'),+(x,z'))', D3, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 106 => ('+(+(+(x',z'),x),y')', D3, R6, P[1], S{x23 -> x', x24 -> z', x25 -> x}), NR: '+(+(x',z'),x)'
ID: 107 => ('+(+(z',x),+(x',y'))', D3, R1, P[], S{x8 -> +(z',x), x9 -> x', x10 -> y'}), NR: '+(+(z',x),+(x',y'))'
ID: 108 => ('+(+(z',x'),+(x,y'))', D3, R1, P[], S{x8 -> +(z',x'), x9 -> x, x10 -> y'}), NR: '+(+(z',x'),+(x,y'))'
ID: 109 => ('+(+(+(x,y'),x'),z')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 110 => ('+(+(y',+(x',x)),z')', D3, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 111 => ('+(+(+(x',y'),x),z')', D3, R6, P[1], S{x23 -> x', x24 -> y', x25 -> x}), NR: '+(+(x',y'),x)'
ID: 112 => ('+(z',+(x,+(y',x')))', D3, R2, P[2], S{x11 -> x, x12 -> y', x13 -> x'}), NR: '+(x,+(y',x'))'
ID: 113 => ('+(z',+(+(x',x),y'))', D3, R4, P[2], S{x17 -> x', x18 -> x, x19 -> y'}), NR: '+(+(x',x),y')'
ID: 114 => ('+(z',+(x',+(y',x)))', D3, R2, P[2], S{x11 -> x', x12 -> y', x13 -> x}), NR: '+(x',+(y',x))'
ID: 115 => ('+(y',+(x,+(z',x')))', D3, R2, P[2], S{x11 -> x, x12 -> z', x13 -> x'}), NR: '+(x,+(z',x'))'
ID: 116 => ('+(y',+(+(x',x),z'))', D3, R4, P[2], S{x17 -> x', x18 -> x, x19 -> z'}), NR: '+(+(x',x),z')'
ID: 117 => ('+(y',+(x',+(z',x)))', D3, R2, P[2], S{x11 -> x', x12 -> z', x13 -> x}), NR: '+(x',+(z',x))'
ID: 118 => ('+(+(y',z'),+(x',x))', D4, R7, P[], S{x26 -> +(y',z'), x27 -> x', x28 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 119 => ('+(+(x',x),+(y',z'))', D4, R8, P[], S{x29 -> +(x',x), x30 -> y', x31 -> z'}), NR: '+(+(x',x),+(y',z'))'
SNodesPath1: +(+(+(x',y'),z'),x)
TNodesPath1: +(+(x,x'),+(z',y')) -> +(x,+(x',+(z',y'))) -> +(x,+(+(x',z'),y')) -> +(+(x,+(x',z')),y') -> +(+(+(x,x'),z'),y') -> +(z',+(+(x,x'),y')) -> +(+(z',y'),+(x,x')) -> +(x',+(x,+(z',y'))) -> +(+(x',x),+(z',y')) -> +(+(+(z',y'),x),x') -> +(+(x',+(z',y')),x) -> +(+(x,+(z',y')),x') -> +(x,+(+(z',y'),x')) -> +(x,+(+(x',y'),z')) -> +(+(x,+(x',y')),z') -> +(+(+(x,x'),y'),z') -> +(+(x,x'),+(y',z')) -> +(z',+(y',+(x,x'))) -> +(y',+(+(x,x'),z')) -> +(+(y',+(x,x')),z') -> +(+(x',+(x,y')),z') -> +(x',+(+(x,y'),z')) -> +(x',+(+(z',y'),x)) -> +(x',+(+(x,z'),y')) -> +(+(x',+(x,z')),y') -> +(+(z',+(x,x')),y') -> +(+(+(z',x),x'),y') -> +(+(y',+(z',x)),x') -> +(y',+(+(z',x),x')) -> +(y',+(z',+(x,x'))) -> +(+(y',z'),+(x,x')) -> +(x,+(x',+(y',z'))) -> +(x,+(z',+(y',x'))) -> +(z',+(+(y',x'),x)) -> +(+(z',+(y',x')),x) -> +(+(+(z',y'),x'),x) -> +(+(z',y'),+(x',x)) -> +(z',+(y',+(x',x))) -> +(z',+(+(y',x),x')) -> +(+(z',+(y',x)),x') -> +(+(x',z'),+(y',x)) -> +(x',+(z',+(y',x))) -> +(x',+(x,+(y',z'))) -> +(x',+(y',+(z',x))) -> +(+(x',y'),+(z',x)) -> +(+(+(x',y'),z'),x)
SNodesPath2: +(+(+(x',y'),z'),x) -> +(+(x',y'),+(z',x)) -> +(x',+(y',+(z',x))) -> +(x',+(+(y',z'),x)) -> +(+(x',+(y',z')),x) -> +(+(y',z'),+(x',x)) -> +(z',+(y',+(x',x))) -> +(z',+(x,+(x',y'))) -> +(z',+(x',+(y',x))) -> +(z',+(+(x',y'),x)) -> +(z',+(+(x,x'),y')) -> +(+(x,x'),+(y',z')) -> +(+(+(y',z'),x'),x) -> +(+(x,+(y',z')),x') -> +(+(+(x,z'),y'),x') -> +(+(x',y'),+(x,z')) -> +(+(+(x',y'),x),z') -> +(+(z',+(x',y')),x) -> +(+(y',+(x',z')),x) -> +(y',+(+(x',z'),x)) -> +(y',+(x',+(z',x))) -> +(+(z',x),+(x',y')) -> +(+(+(z',x),x'),y') -> +(+(x,+(z',x')),y') -> +(+(y',+(z',x')),x) -> +(+(+(y',x'),z'),x) -> +(+(+(z',x'),y'),x) -> +(+(x',+(z',y')),x) -> +(+(+(x',z'),y'),x) -> +(+(x',z'),+(y',x)) -> +(+(+(x',z'),x),y') -> +(+(+(x,z'),x'),y') -> +(+(x,z'),+(x',y')) -> +(x,+(z',+(x',y'))) -> +(+(x,+(x',y')),z') -> +(x,+(+(x',y'),z')) -> +(x,+(+(z',x'),y')) -> +(+(z',x'),+(y',x)) -> +(y',+(x,+(z',x'))) -> +(y',+(z',+(x',x))) -> +(+(y',+(x',x)),z') -> +(+(z',y'),+(x',x)) -> +(+(+(z',y'),x'),x) -> +(+(z',+(y',x')),x) -> +(+(y',x'),+(z',x)) -> +(+(+(z',x),y'),x') -> +(+(x,+(z',y')),x') -> +(+(y',+(z',x)),x') -> +(+(x',+(z',x)),y') -> +(x',+(+(z',x),y')) -> +(x',+(+(y',x),z')) -> +(+(x',+(y',x)),z') -> +(+(+(x',x),y'),z') -> +(y',+(+(x',x),z')) -> +(y',+(+(z',x'),x)) -> +(y',+(+(x,x'),z')) -> +(y',+(x',+(x,z'))) -> +(y',+(z',+(x,x'))) -> +(+(x,x'),+(z',y'))
TNodesPath2: +(+(x,x'),+(z',y'))
+(+(+(x',y'),z'),x) ->= +(+(+(x',y'),z'),x) *<- +(+(x,x'),+(z',y'))
+(+(x,x'),+(z',y')) ->= +(+(x,x'),+(z',y')) *<- +(+(+(x',y'),z'),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.16: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(y,x))),+(x,+(y,+(y',x')))>   =>  Not trivial, Overlay, Proper, NW0, N46
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(y,x)))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(79,28),(79,32),(79,56),(79,72),(79,74),(79,85),(79,86),(79,87),(80,32),(80,38),(80,56),(80,68),(80,74),(80,85),(80,88),(80,89),(81,19),(81,20),(81,21),(81,22),(81,26),(81,102),(81,110),(81,119),(82,35),(82,40),(82,48),(82,51),(82,67),(82,85),(82,96),(82,111),(83,30),(83,45),(83,48),(83,51),(83,67),(83,85),(83,101),(83,106),(84,19),(84,25),(84,59),(84,61),(84,63),(84,77),(84,103),(84,114),(85,2),(85,12),(85,79),(85,80),(85,81),(85,82),(85,83),(85,84),(86,20),(86,41),(86,43),(86,49),(86,60),(86,92),(86,104),(86,117),(87,5),(87,50),(87,66),(87,79),(87,95),(87,105),(87,106),(87,107),(88,14),(88,29),(88,37),(88,53),(88,80),(88,108),(88,109),(88,114),(89,10),(89,21),(89,70),(89,76),(89,96),(89,97),(89,98),(89,99),(90,15),(90,22),(90,30),(90,45),(90,101),(90,106),(90,112),(90,115),(91,15),(91,22),(91,35),(91,40),(91,96),(91,111),(91,112),(91,115),(92,10),(92,50),(92,66),(92,76),(92,79),(92,95),(92,96),(92,97),(93,16),(93,27),(93,57),(93,71),(93,75),(93,82),(93,104),(93,105),(94,18),(94,27),(94,28),(94,29),(94,30),(94,62),(94,113),(94,118),(95,14),(95,20),(95,37),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,59),(96,89),(96,91),(96,92),(96,93),(96,94),(97,3),(97,36),(97,73),(97,83),(97,89),(97,92),(97,94),(97,100),(98,8),(98,38),(98,63),(98,68),(98,88),(98,89),(98,115),(98,116),(99,29),(99,43),(99,49),(99,53),(99,60),(99,80),(99,104),(99,108),(100,6),(100,39),(100,61),(100,69),(100,90),(100,97),(100,109),(100,110),(101,16),(101,39),(101,57),(101,61),(101,71),(101,90),(101,97),(101,104),(102,11),(102,34),(102,35),(102,36),(102,37),(102,81),(102,116),(102,118),(103,7),(103,34),(103,66),(103,68),(103,69),(103,84),(103,112),(103,113),(104,4),(104,13),(104,86),(104,93),(104,99),(104,101),(104,102),(104,103),(105,9),(105,42),(105,59),(105,78),(105,87),(105,91),(105,93),(105,108),(106,9),(106,36),(106,73),(106,78),(106,83),(106,87),(106,100),(106,108),(107,18),(107,38),(107,39),(107,40),(107,41),(107,62),(107,113),(107,118),(108,5),(108,21),(108,70),(108,98),(108,99),(108,105),(108,106),(108,107),(109,17),(109,46),(109,54),(109,58),(109,88),(109,95),(109,100),(109,111),(110,11),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,118),(111,6),(111,27),(111,69),(111,75),(111,82),(111,105),(111,109),(111,110),(112,25),(112,52),(112,73),(112,74),(112,75),(112,77),(112,103),(112,114),(113,31),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,119),(114,7),(114,44),(114,70),(114,71),(114,72),(114,84),(114,112),(114,113),(115,33),(115,47),(115,55),(115,65),(115,90),(115,91),(115,98),(115,117),(116,26),(116,50),(116,51),(116,52),(116,53),(116,102),(116,110),(116,119),(117,8),(117,28),(117,63),(117,72),(117,86),(117,87),(117,115),(117,116),(118,54),(118,55),(118,56),(118,57),(118,64),(118,76),(118,77),(118,78),(119,54),(119,55),(119,56),(119,57),(119,64),(119,76),(119,77),(119,78)]
ID: 0 => ('+(x',+(y',+(y,x)))', D0)
ID: 1 => ('+(+(x',y'),+(y,x))', D1, R5, P[], S{x20 -> x', x21 -> y', x22 -> +(y,x)}), NR: '+(+(x',y'),+(y,x))'
ID: 2 => ('+(x',+(+(y',y),x))', D1, R5, P[2], S{x20 -> y', x21 -> y, x22 -> x}), NR: '+(+(y',y),x)'
ID: 3 => ('+(+(x',+(y,x)),y')', D1, R6, P[], S{x23 -> x', x24 -> +(y,x), x25 -> y'}), NR: '+(+(x',+(y,x)),y')'
ID: 4 => ('+(x',+(+(y',x),y))', D1, R6, P[2], S{x23 -> y', x24 -> x, x25 -> y}), NR: '+(+(y',x),y)'
ID: 5 => ('+(y',+(+(y,x),x'))', D1, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> x'}), NR: '+(y',+(+(y,x),x'))'
ID: 6 => ('+(x',+(y,+(x,y')))', D1, R7, P[2], S{x26 -> y, x27 -> x, x28 -> y'}), NR: '+(y,+(x,y'))'
ID: 7 => ('+(+(y,x),+(y',x'))', D1, R8, P[], S{x29 -> +(y,x), x30 -> y', x31 -> x'}), NR: '+(+(y,x),+(y',x'))'
ID: 8 => ('+(x',+(x,+(y,y')))', D1, R8, P[2], S{x29 -> x, x30 -> y, x31 -> y'}), NR: '+(x,+(y,y'))'
ID: 9 => ('+(y',+(x',+(y,x)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(y,x)}), NR: '+(y',+(x',+(y,x)))'
ID: 10 => ('+(+(+(y,x),x'),y')', D2, R3, P[], S{x14 -> +(y,x), x15 -> x', x16 -> y'}), NR: '+(+(+(y,x),x'),y')'
ID: 11 => ('+(+(+(y,x),y'),x')', D2, R4, P[], S{x17 -> +(y,x), x18 -> y', x19 -> x'}), NR: '+(+(+(y,x),y'),x')'
ID: 12 => ('+(+(+(x',y'),y),x)', D2, R5, P[], S{x20 -> +(x',y'), x21 -> y, x22 -> x}), NR: '+(+(+(x',y'),y),x)'
ID: 13 => ('+(+(+(x',y'),x),y)', D2, R6, P[], S{x23 -> +(x',y'), x24 -> x, x25 -> y}), NR: '+(+(+(x',y'),x),y)'
ID: 14 => ('+(y,+(x,+(x',y')))', D2, R7, P[], S{x26 -> y, x27 -> x, x28 -> +(x',y')}), NR: '+(y,+(x,+(x',y')))'
ID: 15 => ('+(x,+(y,+(x',y')))', D2, R8, P[], S{x29 -> x, x30 -> y, x31 -> +(x',y')}), NR: '+(x,+(y,+(x',y')))'
ID: 16 => ('+(x',+(y,+(y',x)))', D2, R2, P[2], S{x11 -> y, x12 -> y', x13 -> x}), NR: '+(y,+(y',x))'
ID: 17 => ('+(x',+(+(x,y'),y))', D2, R3, P[2], S{x14 -> x, x15 -> y', x16 -> y}), NR: '+(+(x,y'),y)'
ID: 18 => ('+(x',+(+(x,y),y'))', D2, R4, P[2], S{x17 -> x, x18 -> y, x19 -> y'}), NR: '+(+(x,y),y')'
ID: 19 => ('+(+(x',+(y',y)),x)', D2, R5, P[], S{x20 -> x', x21 -> +(y',y), x22 -> x}), NR: '+(+(x',+(y',y)),x)'
ID: 20 => ('+(+(x',x),+(y',y))', D2, R6, P[], S{x23 -> x', x24 -> x, x25 -> +(y',y)}), NR: '+(+(x',x),+(y',y))'
ID: 21 => ('+(+(y',y),+(x,x'))', D2, R7, P[], S{x26 -> +(y',y), x27 -> x, x28 -> x'}), NR: '+(+(y',y),+(x,x'))'
ID: 22 => ('+(x,+(+(y',y),x'))', D2, R8, P[], S{x29 -> x, x30 -> +(y',y), x31 -> x'}), NR: '+(x,+(+(y',y),x'))'
ID: 23 => ('+(x',+(+(y,x),y'))', D2, R1, P[], S{x8 -> x', x9 -> +(y,x), x10 -> y'}), NR: '+(x',+(+(y,x),y'))'
ID: 24 => ('+(+(y,x),+(x',y'))', D2, R2, P[], S{x11 -> +(y,x), x12 -> x', x13 -> y'}), NR: '+(+(y,x),+(x',y'))'
ID: 25 => ('+(+(y',x'),+(y,x))', D2, R3, P[], S{x14 -> y', x15 -> x', x16 -> +(y,x)}), NR: '+(+(y',x'),+(y,x))'
ID: 26 => ('+(+(y',+(y,x)),x')', D2, R4, P[], S{x17 -> y', x18 -> +(y,x), x19 -> x'}), NR: '+(+(y',+(y,x)),x')'
ID: 27 => ('+(+(+(x',y),x),y')', D2, R5, P[1], S{x20 -> x', x21 -> y, x22 -> x}), NR: '+(+(x',y),x)'
ID: 28 => ('+(+(+(x',x),y),y')', D2, R6, P[1], S{x23 -> x', x24 -> x, x25 -> y}), NR: '+(+(x',x),y)'
ID: 29 => ('+(+(y,+(x,x')),y')', D2, R7, P[1], S{x26 -> y, x27 -> x, x28 -> x'}), NR: '+(y,+(x,x'))'
ID: 30 => ('+(+(x,+(y,x')),y')', D2, R8, P[1], S{x29 -> x, x30 -> y, x31 -> x'}), NR: '+(x,+(y,x'))'
ID: 31 => ('+(x',+(y',+(x,y)))', D2, R1, P[2], S{x8 -> y', x9 -> x, x10 -> y}), NR: '+(y',+(x,y))'
ID: 32 => ('+(x',+(x,+(y',y)))', D2, R2, P[2], S{x11 -> x, x12 -> y', x13 -> y}), NR: '+(x,+(y',y))'
ID: 33 => ('+(x',+(+(y,y'),x))', D2, R3, P[2], S{x14 -> y, x15 -> y', x16 -> x}), NR: '+(+(y,y'),x)'
ID: 34 => ('+(+(x',+(y',x)),y)', D2, R5, P[], S{x20 -> x', x21 -> +(y',x), x22 -> y}), NR: '+(+(x',+(y',x)),y)'
ID: 35 => ('+(+(x',y),+(y',x))', D2, R6, P[], S{x23 -> x', x24 -> y, x25 -> +(y',x)}), NR: '+(+(x',y),+(y',x))'
ID: 36 => ('+(+(y',x),+(y,x'))', D2, R7, P[], S{x26 -> +(y',x), x27 -> y, x28 -> x'}), NR: '+(+(y',x),+(y,x'))'
ID: 37 => ('+(y,+(+(y',x),x'))', D2, R8, P[], S{x29 -> y, x30 -> +(y',x), x31 -> x'}), NR: '+(y,+(+(y',x),x'))'
ID: 38 => ('+(y',+(y,+(x,x')))', D2, R1, P[2], S{x8 -> y, x9 -> x, x10 -> x'}), NR: '+(y,+(x,x'))'
ID: 39 => ('+(y',+(x,+(y,x')))', D2, R2, P[2], S{x11 -> x, x12 -> y, x13 -> x'}), NR: '+(x,+(y,x'))'
ID: 40 => ('+(y',+(+(x',y),x))', D2, R3, P[2], S{x14 -> x', x15 -> y, x16 -> x}), NR: '+(+(x',y),x)'
ID: 41 => ('+(y',+(+(x',x),y))', D2, R4, P[2], S{x17 -> x', x18 -> x, x19 -> y}), NR: '+(+(x',x),y)'
ID: 42 => ('+(+(x',y),+(x,y'))', D2, R5, P[], S{x20 -> x', x21 -> y, x22 -> +(x,y')}), NR: '+(+(x',y),+(x,y'))'
ID: 43 => ('+(+(x',+(x,y')),y)', D2, R6, P[], S{x23 -> x', x24 -> +(x,y'), x25 -> y}), NR: '+(+(x',+(x,y')),y)'
ID: 44 => ('+(y,+(+(x,y'),x'))', D2, R7, P[], S{x26 -> y, x27 -> +(x,y'), x28 -> x'}), NR: '+(y,+(+(x,y'),x'))'
ID: 45 => ('+(+(x,y'),+(y,x'))', D2, R8, P[], S{x29 -> +(x,y'), x30 -> y, x31 -> x'}), NR: '+(+(x,y'),+(y,x'))'
ID: 46 => ('+(y,+(x,+(y',x')))', D2, R1, P[], S{x8 -> y, x9 -> x, x10 -> +(y',x')}), NR: '+(y,+(x,+(y',x')))'
ID: 47 => ('+(x,+(y,+(y',x')))', D2, R2, P[], S{x11 -> x, x12 -> y, x13 -> +(y',x')}), NR: '+(x,+(y,+(y',x')))'
ID: 48 => ('+(+(+(y',x'),y),x)', D2, R3, P[], S{x14 -> +(y',x'), x15 -> y, x16 -> x}), NR: '+(+(+(y',x'),y),x)'
ID: 49 => ('+(+(+(y',x'),x),y)', D2, R4, P[], S{x17 -> +(y',x'), x18 -> x, x19 -> y}), NR: '+(+(+(y',x'),x),y)'
ID: 50 => ('+(+(x',x),+(y,y'))', D2, R5, P[], S{x20 -> x', x21 -> x, x22 -> +(y,y')}), NR: '+(+(x',x),+(y,y'))'
ID: 51 => ('+(+(x',+(y,y')),x)', D2, R6, P[], S{x23 -> x', x24 -> +(y,y'), x25 -> x}), NR: '+(+(x',+(y,y')),x)'
ID: 52 => ('+(x,+(+(y,y'),x'))', D2, R7, P[], S{x26 -> x, x27 -> +(y,y'), x28 -> x'}), NR: '+(x,+(+(y,y'),x'))'
ID: 53 => ('+(+(y,y'),+(x,x'))', D2, R8, P[], S{x29 -> +(y,y'), x30 -> x, x31 -> x'}), NR: '+(+(y,y'),+(x,x'))'
ID: 54 => ('+(+(y,+(x,y')),x')', D3, R1, P[1], S{x8 -> y, x9 -> x, x10 -> y'}), NR: '+(y,+(x,y'))'
ID: 55 => ('+(+(x,+(y,y')),x')', D3, R2, P[1], S{x11 -> x, x12 -> y, x13 -> y'}), NR: '+(x,+(y,y'))'
ID: 56 => ('+(+(+(y',y),x),x')', D3, R3, P[1], S{x14 -> y', x15 -> y, x16 -> x}), NR: '+(+(y',y),x)'
ID: 57 => ('+(+(+(y',x),y),x')', D3, R4, P[1], S{x17 -> y', x18 -> x, x19 -> y}), NR: '+(+(y',x),y)'
ID: 58 => ('+(y,+(+(x',y'),x))', D3, R2, P[], S{x11 -> y, x12 -> +(x',y'), x13 -> x}), NR: '+(y,+(+(x',y'),x))'
ID: 59 => ('+(+(y',+(x',y)),x)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> y}), NR: '+(y',+(x',y))'
ID: 60 => ('+(+(x,+(x',y')),y)', D3, R3, P[], S{x14 -> x, x15 -> +(x',y'), x16 -> y}), NR: '+(+(x,+(x',y')),y)'
ID: 61 => ('+(+(+(y,x'),y'),x)', D3, R3, P[1], S{x14 -> y, x15 -> x', x16 -> y'}), NR: '+(+(y,x'),y')'
ID: 62 => ('+(+(x,y),+(x',y'))', D3, R4, P[], S{x17 -> x, x18 -> y, x19 -> +(x',y')}), NR: '+(+(x,y),+(x',y'))'
ID: 63 => ('+(+(+(y,y'),x'),x)', D3, R4, P[1], S{x17 -> y, x18 -> y', x19 -> x'}), NR: '+(+(y,y'),x')'
ID: 64 => ('+(+(x',y'),+(x,y))', D3, R1, P[], S{x8 -> +(x',y'), x9 -> x, x10 -> y}), NR: '+(+(x',y'),+(x,y))'
ID: 65 => ('+(x,+(+(x',y'),y))', D3, R2, P[], S{x11 -> x, x12 -> +(x',y'), x13 -> y}), NR: '+(x,+(+(x',y'),y))'
ID: 66 => ('+(+(y',+(x',x)),y)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 67 => ('+(+(y,+(x',y')),x)', D3, R3, P[], S{x14 -> y, x15 -> +(x',y'), x16 -> x}), NR: '+(+(y,+(x',y')),x)'
ID: 68 => ('+(+(+(x,x'),y'),y)', D3, R3, P[1], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 69 => ('+(+(+(x,y'),x'),y)', D3, R4, P[1], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 70 => ('+(y,+(+(x,x'),y'))', D3, R5, P[2], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 71 => ('+(y,+(x',+(y',x)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 72 => ('+(y,+(y',+(x',x)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 73 => ('+(x,+(+(y,x'),y'))', D3, R5, P[2], S{x20 -> y, x21 -> x', x22 -> y'}), NR: '+(+(y,x'),y')'
ID: 74 => ('+(x,+(x',+(y',y)))', D3, R7, P[2], S{x26 -> x', x27 -> y', x28 -> y}), NR: '+(x',+(y',y))'
ID: 75 => ('+(x,+(y',+(x',y)))', D3, R8, P[2], S{x29 -> y', x30 -> x', x31 -> y}), NR: '+(y',+(x',y))'
ID: 76 => ('+(+(x',+(x,y)),y')', D3, R5, P[], S{x20 -> x', x21 -> +(x,y), x22 -> y'}), NR: '+(+(x',+(x,y)),y')'
ID: 77 => ('+(+(x,y),+(y',x'))', D3, R7, P[], S{x26 -> +(x,y), x27 -> y', x28 -> x'}), NR: '+(+(x,y),+(y',x'))'
ID: 78 => ('+(y',+(+(x,y),x'))', D3, R8, P[], S{x29 -> y', x30 -> +(x,y), x31 -> x'}), NR: '+(y',+(+(x,y),x'))'
ID: 79 => ('+(+(y',y),+(x',x))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x', x13 -> x}), NR: '+(+(y',y),+(x',x))'
ID: 80 => ('+(+(x,x'),+(y',y))', D3, R3, P[], S{x14 -> x, x15 -> x', x16 -> +(y',y)}), NR: '+(+(x,x'),+(y',y))'
ID: 81 => ('+(+(x,+(y',y)),x')', D3, R4, P[], S{x17 -> x, x18 -> +(y',y), x19 -> x'}), NR: '+(+(x,+(y',y)),x')'
ID: 82 => ('+(+(+(x',y),y'),x)', D3, R6, P[1], S{x23 -> x', x24 -> y, x25 -> y'}), NR: '+(+(x',y),y')'
ID: 83 => ('+(+(y',+(y,x')),x)', D3, R7, P[1], S{x26 -> y', x27 -> y, x28 -> x'}), NR: '+(y',+(y,x'))'
ID: 84 => ('+(+(y,+(y',x')),x)', D3, R8, P[1], S{x29 -> y, x30 -> y', x31 -> x'}), NR: '+(y,+(y',x'))'
ID: 85 => ('+(+(+(y',y),x'),x)', D3, R3, P[], S{x14 -> +(y',y), x15 -> x', x16 -> x}), NR: '+(+(+(y',y),x'),x)'
ID: 86 => ('+(+(+(x',x),y'),y)', D3, R5, P[], S{x20 -> +(x',x), x21 -> y', x22 -> y}), NR: '+(+(+(x',x),y'),y)'
ID: 87 => ('+(y',+(y,+(x',x)))', D3, R7, P[], S{x26 -> y', x27 -> y, x28 -> +(x',x)}), NR: '+(y',+(y,+(x',x)))'
ID: 88 => ('+(y,+(y',+(x,x')))', D3, R2, P[], S{x11 -> y, x12 -> y', x13 -> +(x,x')}), NR: '+(y,+(y',+(x,x')))'
ID: 89 => ('+(+(+(x,x'),y),y')', D3, R4, P[], S{x17 -> +(x,x'), x18 -> y, x19 -> y'}), NR: '+(+(+(x,x'),y),y')'
ID: 90 => ('+(x,+(y',+(y,x')))', D3, R1, P[2], S{x8 -> y', x9 -> y, x10 -> x'}), NR: '+(y',+(y,x'))'
ID: 91 => ('+(x,+(+(x',y),y'))', D3, R4, P[2], S{x17 -> x', x18 -> y, x19 -> y'}), NR: '+(+(x',y),y')'
ID: 92 => ('+(+(y,+(x',x)),y')', D3, R2, P[1], S{x11 -> y, x12 -> x', x13 -> x}), NR: '+(y,+(x',x))'
ID: 93 => ('+(+(y',x),+(x',y))', D3, R4, P[], S{x17 -> y', x18 -> x, x19 -> +(x',y)}), NR: '+(+(y',x),+(x',y))'
ID: 94 => ('+(+(+(x,y),x'),y')', D3, R4, P[1], S{x17 -> x, x18 -> y, x19 -> x'}), NR: '+(+(x,y),x')'
ID: 95 => ('+(y,+(+(x',x),y'))', D3, R2, P[], S{x11 -> y, x12 -> +(x',x), x13 -> y'}), NR: '+(y,+(+(x',x),y'))'
ID: 96 => ('+(+(x,+(x',y)),y')', D3, R2, P[1], S{x11 -> x, x12 -> x', x13 -> y}), NR: '+(x,+(x',y))'
ID: 97 => ('+(+(+(y,x'),x),y')', D3, R3, P[1], S{x14 -> y, x15 -> x', x16 -> x}), NR: '+(+(y,x'),x)'
ID: 98 => ('+(+(x,x'),+(y,y'))', D3, R2, P[], S{x11 -> +(x,x'), x12 -> y, x13 -> y'}), NR: '+(+(x,x'),+(y,y'))'
ID: 99 => ('+(+(y',+(x,x')),y)', D3, R4, P[], S{x17 -> y', x18 -> +(x,x'), x19 -> y}), NR: '+(+(y',+(x,x')),y)'
ID: 100 => ('+(+(y,x'),+(x,y'))', D3, R2, P[], S{x11 -> +(y,x'), x12 -> x, x13 -> y'}), NR: '+(+(y,x'),+(x,y'))'
ID: 101 => ('+(+(y,x'),+(y',x))', D3, R3, P[], S{x14 -> y, x15 -> x', x16 -> +(y',x)}), NR: '+(+(y,x'),+(y',x))'
ID: 102 => ('+(+(y,+(y',x)),x')', D3, R4, P[], S{x17 -> y, x18 -> +(y',x), x19 -> x'}), NR: '+(+(y,+(y',x)),x')'
ID: 103 => ('+(+(x,+(y',x')),y)', D3, R8, P[1], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
ID: 104 => ('+(+(+(y',x),x'),y)', D3, R3, P[], S{x14 -> +(y',x), x15 -> x', x16 -> y}), NR: '+(+(+(y',x),x'),y)'
ID: 105 => ('+(y',+(x,+(x',y)))', D3, R7, P[], S{x26 -> y', x27 -> x, x28 -> +(x',y)}), NR: '+(y',+(x,+(x',y)))'
ID: 106 => ('+(y',+(+(y,x'),x))', D3, R6, P[2], S{x23 -> y, x24 -> x', x25 -> x}), NR: '+(+(y,x'),x)'
ID: 107 => ('+(y',+(x',+(x,y)))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y}), NR: '+(x',+(x,y))'
ID: 108 => ('+(y',+(+(x,x'),y))', D3, R6, P[2], S{x23 -> x, x24 -> x', x25 -> y}), NR: '+(+(x,x'),y)'
ID: 109 => ('+(y,+(x',+(x,y')))', D3, R2, P[], S{x11 -> y, x12 -> x', x13 -> +(x,y')}), NR: '+(y,+(x',+(x,y')))'
ID: 110 => ('+(+(+(x,y'),y),x')', D3, R4, P[], S{x17 -> +(x,y'), x18 -> y, x19 -> x'}), NR: '+(+(+(x,y'),y),x')'
ID: 111 => ('+(+(x,y'),+(x',y))', D3, R2, P[], S{x11 -> +(x,y'), x12 -> x', x13 -> y}), NR: '+(+(x,y'),+(x',y))'
ID: 112 => ('+(x,+(+(y',x'),y))', D3, R7, P[], S{x26 -> x, x27 -> +(y',x'), x28 -> y}), NR: '+(x,+(+(y',x'),y))'
ID: 113 => ('+(+(y',x'),+(x,y))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> x, x31 -> y}), NR: '+(+(y',x'),+(x,y))'
ID: 114 => ('+(y,+(+(y',x'),x))', D3, R7, P[], S{x26 -> y, x27 -> +(y',x'), x28 -> x}), NR: '+(y,+(+(y',x'),x))'
ID: 115 => ('+(x,+(x',+(y,y')))', D3, R2, P[], S{x11 -> x, x12 -> x', x13 -> +(y,y')}), NR: '+(x,+(x',+(y,y')))'
ID: 116 => ('+(+(+(y,y'),x),x')', D3, R4, P[], S{x17 -> +(y,y'), x18 -> x, x19 -> x'}), NR: '+(+(+(y,y'),x),x')'
ID: 117 => ('+(+(y,y'),+(x',x))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x', x13 -> x}), NR: '+(+(y,y'),+(x',x))'
ID: 118 => ('+(+(y',+(x,y)),x')', D4, R8, P[1], S{x29 -> y', x30 -> x, x31 -> y}), NR: '+(y',+(x,y))'
ID: 119 => ('+(+(+(x,y),y'),x')', D4, R5, P[1], S{x20 -> x, x21 -> y, x22 -> y'}), NR: '+(+(x,y),y')'
t: +(x,+(y,+(y',x')))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,0),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(3,23),(3,24),(3,25),(3,26),(3,27),(3,28),(3,29),(3,30),(4,23),(4,31),(4,32),(4,33),(4,34),(4,35),(4,36),(4,37),(5,23),(5,24),(5,25),(5,26),(5,38),(5,39),(5,40),(5,41),(6,23),(6,31),(6,32),(6,33),(6,42),(6,43),(6,44),(6,45),(7,0),(7,9),(7,10),(7,11),(7,46),(7,47),(7,48),(7,49),(8,0),(8,16),(8,17),(8,18),(8,50),(8,51),(8,52),(8,53),(9,23),(9,24),(9,25),(9,26),(9,38),(9,39),(9,40),(9,41),(10,23),(10,24),(10,25),(10,26),(10,27),(10,28),(10,29),(10,30),(11,1),(11,3),(11,5),(11,7),(11,54),(11,55),(11,56),(11,57),(12,1),(12,19),(12,58),(12,59),(12,60),(12,61),(12,62),(12,63),(13,24),(13,34),(13,64),(13,65),(13,66),(13,67),(13,68),(13,69),(14,24),(14,44),(14,64),(14,65),(14,67),(14,70),(14,71),(14,72),(15,1),(15,52),(15,58),(15,60),(15,62),(15,73),(15,74),(15,75),(16,23),(16,31),(16,32),(16,33),(16,34),(16,35),(16,36),(16,37),(17,23),(17,31),(17,32),(17,33),(17,42),(17,43),(17,44),(17,45),(18,2),(18,4),(18,6),(18,8),(18,64),(18,76),(18,77),(18,78),(19,2),(19,12),(19,79),(19,80),(19,81),(19,82),(19,83),(19,84),(20,28),(20,32),(20,56),(20,72),(20,74),(20,85),(20,86),(20,87),(21,32),(21,38),(21,56),(21,68),(21,74),(21,85),(21,88),(21,89),(22,2),(22,47),(22,65),(22,79),(22,80),(22,81),(22,90),(22,91),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,0),(24,9),(24,10),(24,11),(24,12),(24,13),(24,14),(24,15),(25,0),(25,9),(25,10),(25,11),(25,46),(25,47),(25,48),(25,49),(26,1),(26,3),(26,5),(26,7),(26,54),(26,55),(26,56),(26,57),(27,3),(27,42),(27,59),(27,89),(27,91),(27,92),(27,93),(27,94),(28,10),(28,50),(28,66),(28,76),(28,79),(28,95),(28,96),(28,97),(29,10),(29,21),(29,70),(29,76),(29,96),(29,97),(29,98),(29,99),(30,3),(30,36),(30,73),(30,83),(30,89),(30,92),(30,94),(30,100),(31,2),(31,4),(31,6),(31,8),(31,64),(31,76),(31,77),(31,78),(32,0),(32,16),(32,17),(32,18),(32,19),(32,20),(32,21),(32,22),(33,0),(33,16),(33,17),(33,18),(33,50),(33,51),(33,52),(33,53),(34,4),(34,13),(34,86),(34,93),(34,99),(34,101),(34,102),(34,103),(35,16),(35,27),(35,57),(35,71),(35,75),(35,82),(35,104),(35,105),(36,16),(36,39),(36,57),(36,61),(36,71),(36,90),(36,97),(36,104),(37,4),(37,46),(37,58),(37,88),(37,93),(37,95),(37,101),(37,102),(38,5),(38,21),(38,70),(38,98),(38,99),(38,105),(38,106),(38,107),(39,9),(39,36),(39,73),(39,78),(39,83),(39,87),(39,100),(39,108),(40,9),(40,42),(40,59),(40,78),(40,87),(40,91),(40,93),(40,108),(41,5),(41,50),(41,66),(41,79),(41,95),(41,105),(41,106),(41,107),(42,6),(42,27),(42,69),(42,75),(42,82),(42,105),(42,109),(42,110),(43,13),(43,17),(43,54),(43,86),(43,99),(43,100),(43,103),(43,111),(44,17),(44,46),(44,54),(44,58),(44,88),(44,95),(44,100),(44,111),(45,6),(45,39),(45,61),(45,69),(45,90),(45,97),(45,109),(45,110),(46,7),(46,44),(46,70),(46,71),(46,72),(46,84),(46,112),(46,113),(47,25),(47,52),(47,73),(47,74),(47,75),(47,77),(47,103),(47,114),(48,19),(48,25),(48,59),(48,61),(48,63),(48,77),(48,103),(48,114),(49,7),(49,34),(49,66),(49,68),(49,69),(49,84),(49,112),(49,113),(50,8),(50,28),(50,63),(50,72),(50,86),(50,87),(50,115),(50,116),(51,12),(51,33),(51,55),(51,82),(51,83),(51,84),(51,98),(51,117),(52,33),(52,47),(52,55),(52,65),(52,90),(52,91),(52,98),(52,117),(53,8),(53,38),(53,63),(53,68),(53,88),(53,89),(53,115),(53,116),(54,11),(54,42),(54,43),(54,44),(54,45),(54,81),(54,116),(54,118),(55,26),(55,50),(55,51),(55,52),(55,53),(55,102),(55,110),(55,119),(56,19),(56,20),(56,21),(56,22),(56,26),(56,102),(56,110),(56,119),(57,11),(57,34),(57,35),(57,36),(57,37),(57,81),(57,116),(57,118),(58,24),(58,44),(58,64),(58,65),(58,67),(58,70),(58,71),(58,72),(59,35),(59,40),(59,48),(59,51),(59,67),(59,85),(59,96),(59,111),(60,24),(60,34),(60,64),(60,65),(60,66),(60,67),(60,68),(60,69),(61,30),(61,45),(61,48),(61,51),(61,67),(61,85),(61,101),(61,106),(62,12),(62,13),(62,14),(62,15),(62,31),(62,94),(62,107),(62,119),(63,12),(63,33),(63,55),(63,82),(63,83),(63,84),(63,98),(63,117),(64,12),(64,13),(64,14),(64,15),(64,31),(64,94),(64,107),(64,119),(65,1),(65,52),(65,58),(65,60),(65,62),(65,73),(65,74),(65,75),(66,20),(66,41),(66,43),(66,49),(66,60),(66,92),(66,104),(66,117),(67,1),(67,19),(67,58),(67,59),(67,60),(67,61),(67,62),(67,63),(68,29),(68,43),(68,49),(68,53),(68,60),(68,80),(68,104),(68,108),(69,13),(69,17),(69,54),(69,86),(69,99),(69,100),(69,103),(69,111),(70,14),(70,29),(70,37),(70,53),(70,80),(70,108),(70,109),(70,114),(71,4),(71,46),(71,58),(71,88),(71,93),(71,95),(71,101),(71,102),(72,14),(72,20),(72,37),(72,41),(72,92),(72,109),(72,114),(72,117),(73,15),(73,22),(73,30),(73,45),(73,101),(73,106),(73,112),(73,115),(74,2),(74,47),(74,65),(74,79),(74,80),(74,81),(74,90),(74,91),(75,15),(75,22),(75,35),(75,40),(75,96),(75,111),(75,112),(75,115),(76,18),(76,27),(76,28),(76,29),(76,30),(76,62),(76,113),(76,118),(77,31),(77,46),(77,47),(77,48),(77,49),(77,94),(77,107),(77,119),(78,18),(78,38),(78,39),(78,40),(78,41),(78,62),(78,113),(78,118),(79,28),(79,32),(79,56),(79,72),(79,74),(79,85),(79,86),(79,87),(80,32),(80,38),(80,56),(80,68),(80,74),(80,85),(80,88),(80,89),(81,19),(81,20),(81,21),(81,22),(81,26),(81,102),(81,110),(81,119),(82,35),(82,40),(82,48),(82,51),(82,67),(82,85),(82,96),(82,111),(83,30),(83,45),(83,48),(83,51),(83,67),(83,85),(83,101),(83,106),(84,19),(84,25),(84,59),(84,61),(84,63),(84,77),(84,103),(84,114),(85,2),(85,12),(85,79),(85,80),(85,81),(85,82),(85,83),(85,84),(86,20),(86,41),(86,43),(86,49),(86,60),(86,92),(86,104),(86,117),(87,5),(87,50),(87,66),(87,79),(87,95),(87,105),(87,106),(87,107),(88,14),(88,29),(88,37),(88,53),(88,80),(88,108),(88,109),(88,114),(89,10),(89,21),(89,70),(89,76),(89,96),(89,97),(89,98),(89,99),(90,15),(90,22),(90,30),(90,45),(90,101),(90,106),(90,112),(90,115),(91,15),(91,22),(91,35),(91,40),(91,96),(91,111),(91,112),(91,115),(92,10),(92,50),(92,66),(92,76),(92,79),(92,95),(92,96),(92,97),(93,16),(93,27),(93,57),(93,71),(93,75),(93,82),(93,104),(93,105),(94,18),(94,27),(94,28),(94,29),(94,30),(94,62),(94,113),(94,118),(95,14),(95,20),(95,37),(95,41),(95,92),(95,109),(95,114),(95,117),(96,3),(96,42),(96,59),(96,89),(96,91),(96,92),(96,93),(96,94),(97,3),(97,36),(97,73),(97,83),(97,89),(97,92),(97,94),(97,100),(98,8),(98,38),(98,63),(98,68),(98,88),(98,89),(98,115),(98,116),(99,29),(99,43),(99,49),(99,53),(99,60),(99,80),(99,104),(99,108),(100,6),(100,39),(100,61),(100,69),(100,90),(100,97),(100,109),(100,110),(101,16),(101,39),(101,57),(101,61),(101,71),(101,90),(101,97),(101,104),(102,11),(102,34),(102,35),(102,36),(102,37),(102,81),(102,116),(102,118),(103,7),(103,34),(103,66),(103,68),(103,69),(103,84),(103,112),(103,113),(104,4),(104,13),(104,86),(104,93),(104,99),(104,101),(104,102),(104,103),(105,9),(105,42),(105,59),(105,78),(105,87),(105,91),(105,93),(105,108),(106,9),(106,36),(106,73),(106,78),(106,83),(106,87),(106,100),(106,108),(107,18),(107,38),(107,39),(107,40),(107,41),(107,62),(107,113),(107,118),(108,5),(108,21),(108,70),(108,98),(108,99),(108,105),(108,106),(108,107),(109,17),(109,46),(109,54),(109,58),(109,88),(109,95),(109,100),(109,111),(110,11),(110,42),(110,43),(110,44),(110,45),(110,81),(110,116),(110,118),(111,6),(111,27),(111,69),(111,75),(111,82),(111,105),(111,109),(111,110),(112,25),(112,52),(112,73),(112,74),(112,75),(112,77),(112,103),(112,114),(113,31),(113,46),(113,47),(113,48),(113,49),(113,94),(113,107),(113,119),(114,7),(114,44),(114,70),(114,71),(114,72),(114,84),(114,112),(114,113),(115,33),(115,47),(115,55),(115,65),(115,90),(115,91),(115,98),(115,117),(116,26),(116,50),(116,51),(116,52),(116,53),(116,102),(116,110),(116,119),(117,8),(117,28),(117,63),(117,72),(117,86),(117,87),(117,115),(117,116),(118,54),(118,55),(118,56),(118,57),(118,64),(118,76),(118,77),(118,78),(119,54),(119,55),(119,56),(119,57),(119,64),(119,76),(119,77),(119,78)]
ID: 0 => ('+(x,+(y,+(y',x')))', D0)
ID: 1 => ('+(+(x,y),+(y',x'))', D1, R5, P[], S{x20 -> x, x21 -> y, x22 -> +(y',x')}), NR: '+(+(x,y),+(y',x'))'
ID: 2 => ('+(x,+(+(y,y'),x'))', D1, R5, P[2], S{x20 -> y, x21 -> y', x22 -> x'}), NR: '+(+(y,y'),x')'
ID: 3 => ('+(+(x,+(y',x')),y)', D1, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> y}), NR: '+(+(x,+(y',x')),y)'
ID: 4 => ('+(x,+(+(y,x'),y'))', D1, R6, P[2], S{x23 -> y, x24 -> x', x25 -> y'}), NR: '+(+(y,x'),y')'
ID: 5 => ('+(y,+(+(y',x'),x))', D1, R7, P[], S{x26 -> y, x27 -> +(y',x'), x28 -> x}), NR: '+(y,+(+(y',x'),x))'
ID: 6 => ('+(x,+(y',+(x',y)))', D1, R7, P[2], S{x26 -> y', x27 -> x', x28 -> y}), NR: '+(y',+(x',y))'
ID: 7 => ('+(+(y',x'),+(y,x))', D1, R8, P[], S{x29 -> +(y',x'), x30 -> y, x31 -> x}), NR: '+(+(y',x'),+(y,x))'
ID: 8 => ('+(x,+(x',+(y',y)))', D1, R8, P[2], S{x29 -> x', x30 -> y', x31 -> y}), NR: '+(x',+(y',y))'
ID: 9 => ('+(y,+(x,+(y',x')))', D2, R2, P[], S{x11 -> y, x12 -> x, x13 -> +(y',x')}), NR: '+(y,+(x,+(y',x')))'
ID: 10 => ('+(+(+(y',x'),x),y)', D2, R3, P[], S{x14 -> +(y',x'), x15 -> x, x16 -> y}), NR: '+(+(+(y',x'),x),y)'
ID: 11 => ('+(+(+(y',x'),y),x)', D2, R4, P[], S{x17 -> +(y',x'), x18 -> y, x19 -> x}), NR: '+(+(+(y',x'),y),x)'
ID: 12 => ('+(+(+(x,y),y'),x')', D2, R5, P[], S{x20 -> +(x,y), x21 -> y', x22 -> x'}), NR: '+(+(+(x,y),y'),x')'
ID: 13 => ('+(+(+(x,y),x'),y')', D2, R6, P[], S{x23 -> +(x,y), x24 -> x', x25 -> y'}), NR: '+(+(+(x,y),x'),y')'
ID: 14 => ('+(y',+(x',+(x,y)))', D2, R7, P[], S{x26 -> y', x27 -> x', x28 -> +(x,y)}), NR: '+(y',+(x',+(x,y)))'
ID: 15 => ('+(x',+(y',+(x,y)))', D2, R8, P[], S{x29 -> x', x30 -> y', x31 -> +(x,y)}), NR: '+(x',+(y',+(x,y)))'
ID: 16 => ('+(x,+(y',+(y,x')))', D2, R2, P[2], S{x11 -> y', x12 -> y, x13 -> x'}), NR: '+(y',+(y,x'))'
ID: 17 => ('+(x,+(+(x',y),y'))', D2, R3, P[2], S{x14 -> x', x15 -> y, x16 -> y'}), NR: '+(+(x',y),y')'
ID: 18 => ('+(x,+(+(x',y'),y))', D2, R4, P[2], S{x17 -> x', x18 -> y', x19 -> y}), NR: '+(+(x',y'),y)'
ID: 19 => ('+(+(x,+(y,y')),x')', D2, R5, P[], S{x20 -> x, x21 -> +(y,y'), x22 -> x'}), NR: '+(+(x,+(y,y')),x')'
ID: 20 => ('+(+(x,x'),+(y,y'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(y,y')}), NR: '+(+(x,x'),+(y,y'))'
ID: 21 => ('+(+(y,y'),+(x',x))', D2, R7, P[], S{x26 -> +(y,y'), x27 -> x', x28 -> x}), NR: '+(+(y,y'),+(x',x))'
ID: 22 => ('+(x',+(+(y,y'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(y,y'), x31 -> x}), NR: '+(x',+(+(y,y'),x))'
ID: 23 => ('+(x,+(+(y',x'),y))', D2, R1, P[], S{x8 -> x, x9 -> +(y',x'), x10 -> y}), NR: '+(x,+(+(y',x'),y))'
ID: 24 => ('+(+(y',x'),+(x,y))', D2, R2, P[], S{x11 -> +(y',x'), x12 -> x, x13 -> y}), NR: '+(+(y',x'),+(x,y))'
ID: 25 => ('+(+(y,x),+(y',x'))', D2, R3, P[], S{x14 -> y, x15 -> x, x16 -> +(y',x')}), NR: '+(+(y,x),+(y',x'))'
ID: 26 => ('+(+(y,+(y',x')),x)', D2, R4, P[], S{x17 -> y, x18 -> +(y',x'), x19 -> x}), NR: '+(+(y,+(y',x')),x)'
ID: 27 => ('+(+(+(x,y'),x'),y)', D2, R5, P[1], S{x20 -> x, x21 -> y', x22 -> x'}), NR: '+(+(x,y'),x')'
ID: 28 => ('+(+(+(x,x'),y'),y)', D2, R6, P[1], S{x23 -> x, x24 -> x', x25 -> y'}), NR: '+(+(x,x'),y')'
ID: 29 => ('+(+(y',+(x',x)),y)', D2, R7, P[1], S{x26 -> y', x27 -> x', x28 -> x}), NR: '+(y',+(x',x))'
ID: 30 => ('+(+(x',+(y',x)),y)', D2, R8, P[1], S{x29 -> x', x30 -> y', x31 -> x}), NR: '+(x',+(y',x))'
ID: 31 => ('+(x,+(y,+(x',y')))', D2, R1, P[2], S{x8 -> y, x9 -> x', x10 -> y'}), NR: '+(y,+(x',y'))'
ID: 32 => ('+(x,+(x',+(y,y')))', D2, R2, P[2], S{x11 -> x', x12 -> y, x13 -> y'}), NR: '+(x',+(y,y'))'
ID: 33 => ('+(x,+(+(y',y),x'))', D2, R3, P[2], S{x14 -> y', x15 -> y, x16 -> x'}), NR: '+(+(y',y),x')'
ID: 34 => ('+(+(x,+(y,x')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(y,x'), x22 -> y'}), NR: '+(+(x,+(y,x')),y')'
ID: 35 => ('+(+(x,y'),+(y,x'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(y,x')}), NR: '+(+(x,y'),+(y,x'))'
ID: 36 => ('+(+(y,x'),+(y',x))', D2, R7, P[], S{x26 -> +(y,x'), x27 -> y', x28 -> x}), NR: '+(+(y,x'),+(y',x))'
ID: 37 => ('+(y',+(+(y,x'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(y,x'), x31 -> x}), NR: '+(y',+(+(y,x'),x))'
ID: 38 => ('+(y,+(y',+(x',x)))', D2, R1, P[2], S{x8 -> y', x9 -> x', x10 -> x}), NR: '+(y',+(x',x))'
ID: 39 => ('+(y,+(x',+(y',x)))', D2, R2, P[2], S{x11 -> x', x12 -> y', x13 -> x}), NR: '+(x',+(y',x))'
ID: 40 => ('+(y,+(+(x,y'),x'))', D2, R3, P[2], S{x14 -> x, x15 -> y', x16 -> x'}), NR: '+(+(x,y'),x')'
ID: 41 => ('+(y,+(+(x,x'),y'))', D2, R4, P[2], S{x17 -> x, x18 -> x', x19 -> y'}), NR: '+(+(x,x'),y')'
ID: 42 => ('+(+(x,y'),+(x',y))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(x',y)}), NR: '+(+(x,y'),+(x',y))'
ID: 43 => ('+(+(x,+(x',y)),y')', D2, R6, P[], S{x23 -> x, x24 -> +(x',y), x25 -> y'}), NR: '+(+(x,+(x',y)),y')'
ID: 44 => ('+(y',+(+(x',y),x))', D2, R7, P[], S{x26 -> y', x27 -> +(x',y), x28 -> x}), NR: '+(y',+(+(x',y),x))'
ID: 45 => ('+(+(x',y),+(y',x))', D2, R8, P[], S{x29 -> +(x',y), x30 -> y', x31 -> x}), NR: '+(+(x',y),+(y',x))'
ID: 46 => ('+(y',+(x',+(y,x)))', D2, R1, P[], S{x8 -> y', x9 -> x', x10 -> +(y,x)}), NR: '+(y',+(x',+(y,x)))'
ID: 47 => ('+(x',+(y',+(y,x)))', D2, R2, P[], S{x11 -> x', x12 -> y', x13 -> +(y,x)}), NR: '+(x',+(y',+(y,x)))'
ID: 48 => ('+(+(+(y,x),y'),x')', D2, R3, P[], S{x14 -> +(y,x), x15 -> y', x16 -> x'}), NR: '+(+(+(y,x),y'),x')'
ID: 49 => ('+(+(+(y,x),x'),y')', D2, R4, P[], S{x17 -> +(y,x), x18 -> x', x19 -> y'}), NR: '+(+(+(y,x),x'),y')'
ID: 50 => ('+(+(x,x'),+(y',y))', D2, R5, P[], S{x20 -> x, x21 -> x', x22 -> +(y',y)}), NR: '+(+(x,x'),+(y',y))'
ID: 51 => ('+(+(x,+(y',y)),x')', D2, R6, P[], S{x23 -> x, x24 -> +(y',y), x25 -> x'}), NR: '+(+(x,+(y',y)),x')'
ID: 52 => ('+(x',+(+(y',y),x))', D2, R7, P[], S{x26 -> x', x27 -> +(y',y), x28 -> x}), NR: '+(x',+(+(y',y),x))'
ID: 53 => ('+(+(y',y),+(x',x))', D2, R8, P[], S{x29 -> +(y',y), x30 -> x', x31 -> x}), NR: '+(+(y',y),+(x',x))'
ID: 54 => ('+(+(y',+(x',y)),x)', D3, R1, P[1], S{x8 -> y', x9 -> x', x10 -> y}), NR: '+(y',+(x',y))'
ID: 55 => ('+(+(x',+(y',y)),x)', D3, R2, P[1], S{x11 -> x', x12 -> y', x13 -> y}), NR: '+(x',+(y',y))'
ID: 56 => ('+(+(+(y,y'),x'),x)', D3, R3, P[1], S{x14 -> y, x15 -> y', x16 -> x'}), NR: '+(+(y,y'),x')'
ID: 57 => ('+(+(+(y,x'),y'),x)', D3, R4, P[1], S{x17 -> y, x18 -> x', x19 -> y'}), NR: '+(+(y,x'),y')'
ID: 58 => ('+(y',+(+(x,y),x'))', D3, R2, P[], S{x11 -> y', x12 -> +(x,y), x13 -> x'}), NR: '+(y',+(+(x,y),x'))'
ID: 59 => ('+(+(y,+(x,y')),x')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> y'}), NR: '+(y,+(x,y'))'
ID: 60 => ('+(+(x',+(x,y)),y')', D3, R3, P[], S{x14 -> x', x15 -> +(x,y), x16 -> y'}), NR: '+(+(x',+(x,y)),y')'
ID: 61 => ('+(+(+(y',x),y),x')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> y}), NR: '+(+(y',x),y)'
ID: 62 => ('+(+(x',y'),+(x,y))', D3, R4, P[], S{x17 -> x', x18 -> y', x19 -> +(x,y)}), NR: '+(+(x',y'),+(x,y))'
ID: 63 => ('+(+(+(y',y),x),x')', D3, R4, P[1], S{x17 -> y', x18 -> y, x19 -> x}), NR: '+(+(y',y),x)'
ID: 64 => ('+(+(x,y),+(x',y'))', D3, R1, P[], S{x8 -> +(x,y), x9 -> x', x10 -> y'}), NR: '+(+(x,y),+(x',y'))'
ID: 65 => ('+(x',+(+(x,y),y'))', D3, R2, P[], S{x11 -> x', x12 -> +(x,y), x13 -> y'}), NR: '+(x',+(+(x,y),y'))'
ID: 66 => ('+(+(y,+(x,x')),y')', D3, R2, P[1], S{x11 -> y, x12 -> x, x13 -> x'}), NR: '+(y,+(x,x'))'
ID: 67 => ('+(+(y',+(x,y)),x')', D3, R3, P[], S{x14 -> y', x15 -> +(x,y), x16 -> x'}), NR: '+(+(y',+(x,y)),x')'
ID: 68 => ('+(+(+(x',x),y),y')', D3, R3, P[1], S{x14 -> x', x15 -> x, x16 -> y}), NR: '+(+(x',x),y)'
ID: 69 => ('+(+(+(x',y),x),y')', D3, R4, P[1], S{x17 -> x', x18 -> y, x19 -> x}), NR: '+(+(x',y),x)'
ID: 70 => ('+(y',+(+(x',x),y))', D3, R5, P[2], S{x20 -> x', x21 -> x, x22 -> y}), NR: '+(+(x',x),y)'
ID: 71 => ('+(y',+(x,+(y,x')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> x'}), NR: '+(x,+(y,x'))'
ID: 72 => ('+(y',+(y,+(x,x')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> x'}), NR: '+(y,+(x,x'))'
ID: 73 => ('+(x',+(+(y',x),y))', D3, R5, P[2], S{x20 -> y', x21 -> x, x22 -> y}), NR: '+(+(y',x),y)'
ID: 74 => ('+(x',+(x,+(y,y')))', D3, R7, P[2], S{x26 -> x, x27 -> y, x28 -> y'}), NR: '+(x,+(y,y'))'
ID: 75 => ('+(x',+(y,+(x,y')))', D3, R8, P[2], S{x29 -> y, x30 -> x, x31 -> y'}), NR: '+(y,+(x,y'))'
ID: 76 => ('+(+(x,+(x',y')),y)', D3, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> y}), NR: '+(+(x,+(x',y')),y)'
ID: 77 => ('+(+(x',y'),+(y,x))', D3, R7, P[], S{x26 -> +(x',y'), x27 -> y, x28 -> x}), NR: '+(+(x',y'),+(y,x))'
ID: 78 => ('+(y,+(+(x',y'),x))', D3, R8, P[], S{x29 -> y, x30 -> +(x',y'), x31 -> x}), NR: '+(y,+(+(x',y'),x))'
ID: 79 => ('+(+(y,y'),+(x,x'))', D3, R2, P[], S{x11 -> +(y,y'), x12 -> x, x13 -> x'}), NR: '+(+(y,y'),+(x,x'))'
ID: 80 => ('+(+(x',x),+(y,y'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y,y')}), NR: '+(+(x',x),+(y,y'))'
ID: 81 => ('+(+(x',+(y,y')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(y,y'), x19 -> x}), NR: '+(+(x',+(y,y')),x)'
ID: 82 => ('+(+(+(x,y'),y),x')', D3, R6, P[1], S{x23 -> x, x24 -> y', x25 -> y}), NR: '+(+(x,y'),y)'
ID: 83 => ('+(+(y,+(y',x)),x')', D3, R7, P[1], S{x26 -> y, x27 -> y', x28 -> x}), NR: '+(y,+(y',x))'
ID: 84 => ('+(+(y',+(y,x)),x')', D3, R8, P[1], S{x29 -> y', x30 -> y, x31 -> x}), NR: '+(y',+(y,x))'
ID: 85 => ('+(+(+(y,y'),x),x')', D3, R3, P[], S{x14 -> +(y,y'), x15 -> x, x16 -> x'}), NR: '+(+(+(y,y'),x),x')'
ID: 86 => ('+(+(+(x,x'),y),y')', D3, R5, P[], S{x20 -> +(x,x'), x21 -> y, x22 -> y'}), NR: '+(+(+(x,x'),y),y')'
ID: 87 => ('+(y,+(y',+(x,x')))', D3, R7, P[], S{x26 -> y, x27 -> y', x28 -> +(x,x')}), NR: '+(y,+(y',+(x,x')))'
ID: 88 => ('+(y',+(y,+(x',x)))', D3, R2, P[], S{x11 -> y', x12 -> y, x13 -> +(x',x)}), NR: '+(y',+(y,+(x',x)))'
ID: 89 => ('+(+(+(x',x),y'),y)', D3, R4, P[], S{x17 -> +(x',x), x18 -> y', x19 -> y}), NR: '+(+(+(x',x),y'),y)'
ID: 90 => ('+(x',+(y,+(y',x)))', D3, R1, P[2], S{x8 -> y, x9 -> y', x10 -> x}), NR: '+(y,+(y',x))'
ID: 91 => ('+(x',+(+(x,y'),y))', D3, R4, P[2], S{x17 -> x, x18 -> y', x19 -> y}), NR: '+(+(x,y'),y)'
ID: 92 => ('+(+(y',+(x,x')),y)', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 93 => ('+(+(y,x'),+(x,y'))', D3, R4, P[], S{x17 -> y, x18 -> x', x19 -> +(x,y')}), NR: '+(+(y,x'),+(x,y'))'
ID: 94 => ('+(+(+(x',y'),x),y)', D3, R4, P[1], S{x17 -> x', x18 -> y', x19 -> x}), NR: '+(+(x',y'),x)'
ID: 95 => ('+(y',+(+(x,x'),y))', D3, R2, P[], S{x11 -> y', x12 -> +(x,x'), x13 -> y}), NR: '+(y',+(+(x,x'),y))'
ID: 96 => ('+(+(x',+(x,y')),y)', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 97 => ('+(+(+(y',x),x'),y)', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 98 => ('+(+(x',x),+(y',y))', D3, R2, P[], S{x11 -> +(x',x), x12 -> y', x13 -> y}), NR: '+(+(x',x),+(y',y))'
ID: 99 => ('+(+(y,+(x',x)),y')', D3, R4, P[], S{x17 -> y, x18 -> +(x',x), x19 -> y'}), NR: '+(+(y,+(x',x)),y')'
ID: 100 => ('+(+(y',x),+(x',y))', D3, R2, P[], S{x11 -> +(y',x), x12 -> x', x13 -> y}), NR: '+(+(y',x),+(x',y))'
ID: 101 => ('+(+(y',x),+(y,x'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(y,x')}), NR: '+(+(y',x),+(y,x'))'
ID: 102 => ('+(+(y',+(y,x')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(y,x'), x19 -> x}), NR: '+(+(y',+(y,x')),x)'
ID: 103 => ('+(+(x',+(y,x)),y')', D3, R8, P[1], S{x29 -> x', x30 -> y, x31 -> x}), NR: '+(x',+(y,x))'
ID: 104 => ('+(+(+(y,x'),x),y')', D3, R3, P[], S{x14 -> +(y,x'), x15 -> x, x16 -> y'}), NR: '+(+(+(y,x'),x),y')'
ID: 105 => ('+(y,+(x',+(x,y')))', D3, R7, P[], S{x26 -> y, x27 -> x', x28 -> +(x,y')}), NR: '+(y,+(x',+(x,y')))'
ID: 106 => ('+(y,+(+(y',x),x'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> x'}), NR: '+(+(y',x),x')'
ID: 107 => ('+(y,+(x,+(x',y')))', D3, R8, P[2], S{x29 -> x, x30 -> x', x31 -> y'}), NR: '+(x,+(x',y'))'
ID: 108 => ('+(y,+(+(x',x),y'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> y'}), NR: '+(+(x',x),y')'
ID: 109 => ('+(y',+(x,+(x',y)))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(x',y)}), NR: '+(y',+(x,+(x',y)))'
ID: 110 => ('+(+(+(x',y),y'),x)', D3, R4, P[], S{x17 -> +(x',y), x18 -> y', x19 -> x}), NR: '+(+(+(x',y),y'),x)'
ID: 111 => ('+(+(x',y),+(x,y'))', D3, R2, P[], S{x11 -> +(x',y), x12 -> x, x13 -> y'}), NR: '+(+(x',y),+(x,y'))'
ID: 112 => ('+(x',+(+(y,x),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(y,x), x28 -> y'}), NR: '+(x',+(+(y,x),y'))'
ID: 113 => ('+(+(y,x),+(x',y'))', D3, R8, P[], S{x29 -> +(y,x), x30 -> x', x31 -> y'}), NR: '+(+(y,x),+(x',y'))'
ID: 114 => ('+(y',+(+(y,x),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(y,x), x28 -> x'}), NR: '+(y',+(+(y,x),x'))'
ID: 115 => ('+(x',+(x,+(y',y)))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',y)}), NR: '+(x',+(x,+(y',y)))'
ID: 116 => ('+(+(+(y',y),x'),x)', D3, R4, P[], S{x17 -> +(y',y), x18 -> x', x19 -> x}), NR: '+(+(+(y',y),x'),x)'
ID: 117 => ('+(+(y',y),+(x,x'))', D3, R2, P[], S{x11 -> +(y',y), x12 -> x, x13 -> x'}), NR: '+(+(y',y),+(x,x'))'
ID: 118 => ('+(+(y,+(x',y')),x)', D4, R8, P[1], S{x29 -> y, x30 -> x', x31 -> y'}), NR: '+(y,+(x',y'))'
ID: 119 => ('+(+(+(x',y'),y),x)', D4, R5, P[1], S{x20 -> x', x21 -> y', x22 -> y}), NR: '+(+(x',y'),y)'
SNodesPath1: +(x',+(y',+(y,x)))
TNodesPath1: +(x,+(y,+(y',x'))) -> +(+(x,y),+(y',x')) -> +(y,+(x,+(y',x'))) -> +(x,+(+(y',x'),y)) -> +(x,+(+(y,y'),x')) -> +(x,+(y',+(y,x'))) -> +(x,+(y,+(x',y'))) -> +(x,+(+(y,x'),y')) -> +(x,+(x',+(y,y'))) -> +(x,+(+(x',y),y')) -> +(x,+(+(y',y),x')) -> +(x,+(+(x',y'),y)) -> +(x,+(y',+(x',y))) -> +(+(x,y'),+(x',y)) -> +(+(+(x,y'),x'),y) -> +(+(x,+(y',x')),y) -> +(+(y',x'),+(x,y)) -> +(+(+(y',x'),x),y) -> +(+(y,x),+(y',x')) -> +(+(+(y',x'),y),x) -> +(y,+(+(y',x'),x)) -> +(+(y,+(y',x')),x) -> +(+(y',x'),+(y,x)) -> +(y',+(x',+(y,x))) -> +(y',+(+(x',y),x)) -> +(+(y',+(x',y)),x) -> +(+(x,+(x',y)),y') -> +(+(+(x,y),x'),y') -> +(+(x,+(y,x')),y') -> +(+(+(x,x'),y),y') -> +(+(x,x'),+(y,y')) -> +(+(+(x,x'),y'),y) -> +(+(x,x'),+(y',y)) -> +(x,+(x',+(y',y))) -> +(+(x,+(y',y)),x') -> +(+(+(x,y),y'),x') -> +(+(x,+(y,y')),x') -> +(+(y,y'),+(x,x')) -> +(+(+(y,y'),x'),x) -> +(+(y,y'),+(x',x)) -> +(y,+(y',+(x',x))) -> +(y',+(+(x',x),y)) -> +(y',+(x',+(x,y))) -> +(+(x,y),+(x',y')) -> +(x',+(y',+(x,y))) -> +(x',+(+(y',y),x)) -> +(x',+(y',+(y,x)))
SNodesPath2: +(x',+(y',+(y,x))) -> +(+(x',y'),+(y,x)) -> +(y',+(x',+(y,x))) -> +(x',+(+(y,x),y')) -> +(x',+(+(y',y),x)) -> +(x',+(y,+(y',x))) -> +(x',+(y',+(x,y))) -> +(x',+(+(y',x),y)) -> +(x',+(x,+(y',y))) -> +(x',+(+(x,y'),y)) -> +(x',+(+(y,y'),x)) -> +(x',+(+(x,y),y')) -> +(x',+(y,+(x,y'))) -> +(+(x',y),+(x,y')) -> +(+(+(x',y),x),y') -> +(+(x',+(y,x)),y') -> +(+(y,x),+(x',y')) -> +(+(+(y,x),x'),y') -> +(+(y',x'),+(y,x)) -> +(+(+(y,x),y'),x') -> +(y',+(+(y,x),x')) -> +(+(y',+(y,x)),x') -> +(+(y,x),+(y',x')) -> +(y,+(x,+(y',x'))) -> +(y,+(+(x,y'),x')) -> +(+(y,+(x,y')),x') -> +(+(x',+(x,y')),y) -> +(+(+(x',y'),x),y) -> +(+(x',+(y',x)),y) -> +(+(+(x',x),y'),y) -> +(+(x',x),+(y',y)) -> +(+(+(x',x),y),y') -> +(+(x',x),+(y,y')) -> +(x',+(x,+(y,y'))) -> +(+(x',+(y,y')),x) -> +(+(+(x',y'),y),x) -> +(+(x',+(y',y)),x) -> +(+(y',y),+(x',x)) -> +(+(+(y',y),x),x') -> +(+(y',y),+(x,x')) -> +(y',+(y,+(x,x'))) -> +(y,+(+(x,x'),y')) -> +(y,+(x,+(x',y'))) -> +(+(x',y'),+(x,y)) -> +(x,+(y,+(x',y'))) -> +(x,+(+(y,y'),x')) -> +(x,+(y,+(y',x')))
TNodesPath2: +(x,+(y,+(y',x')))
+(x',+(y',+(y,x))) ->= +(x',+(y',+(y,x))) *<- +(x,+(y,+(y',x')))
+(x,+(y,+(y',x'))) ->= +(x,+(y,+(y',x'))) *<- +(x',+(y',+(y,x)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.17: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(+(x',y'),z')),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N49
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(+(x',y'),z'))
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,17),(3,19),(3,21),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,11),(4,13),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,23),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,23),(7,39),(7,40),(7,41),(7,46),(7,47),(7,48),(7,49),(8,0),(8,32),(8,33),(8,34),(8,50),(8,51),(8,52),(8,53),(9,1),(9,35),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,19),(10,43),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(11,22),(11,23),(12,19),(12,46),(12,60),(12,61),(12,62),(12,66),(12,67),(12,68),(13,17),(13,19),(13,21),(13,23),(13,24),(13,25),(13,26),(13,27),(14,1),(14,51),(14,54),(14,55),(14,56),(14,69),(14,70),(14,71),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,36),(16,63),(16,76),(16,77),(16,78),(16,79),(16,80),(17,1),(17,2),(17,3),(17,4),(17,72),(17,73),(17,74),(17,75),(18,11),(18,42),(18,57),(18,81),(18,82),(18,83),(18,84),(18,85),(19,0),(19,9),(19,10),(19,11),(19,12),(19,13),(19,14),(19,15),(20,11),(20,47),(20,69),(20,81),(20,82),(20,83),(20,86),(20,87),(21,0),(21,11),(21,13),(21,15),(21,28),(21,29),(21,30),(21,31),(22,2),(22,50),(22,66),(22,76),(22,77),(22,78),(22,88),(22,89),(23,1),(23,2),(23,3),(23,4),(23,5),(23,6),(23,7),(23,8),(24,3),(24,42),(24,57),(24,84),(24,85),(24,90),(24,91),(24,92),(25,13),(25,36),(25,63),(25,79),(25,80),(25,93),(25,94),(25,95),(26,13),(26,50),(26,66),(26,88),(26,89),(26,93),(26,94),(26,95),(27,3),(27,47),(27,69),(27,86),(27,87),(27,90),(27,91),(27,92),(28,4),(28,43),(28,63),(28,64),(28,65),(28,96),(28,97),(28,98),(29,21),(29,35),(29,57),(29,58),(29,59),(29,99),(29,100),(29,101),(30,21),(30,51),(30,69),(30,70),(30,71),(30,99),(30,100),(30,101),(31,4),(31,46),(31,66),(31,67),(31,68),(31,96),(31,97),(31,98),(32,23),(32,39),(32,40),(32,41),(32,42),(32,43),(32,44),(32,45),(33,23),(33,39),(33,40),(33,41),(33,46),(33,47),(33,48),(33,49),(34,5),(34,6),(34,7),(34,8),(34,62),(34,83),(34,95),(34,101),(35,5),(35,9),(35,86),(35,88),(35,96),(35,102),(35,103),(35,104),(36,16),(36,40),(36,67),(36,70),(36,73),(36,90),(36,105),(36,106),(37,26),(37,40),(37,65),(37,70),(37,73),(37,82),(37,105),(37,107),(38,5),(38,30),(38,61),(38,85),(38,88),(38,102),(38,104),(38,108),(39,0),(39,32),(39,33),(39,34),(39,50),(39,51),(39,52),(39,53),(40,0),(40,32),(40,33),(40,34),(40,35),(40,36),(40,37),(40,38),(41,5),(41,6),(41,7),(41,8),(41,62),(41,83),(41,95),(41,101),(42,6),(42,24),(42,68),(42,71),(42,77),(42,103),(42,109),(42,110),(43,28),(43,32),(43,55),(43,72),(43,87),(43,89),(43,106),(43,111),(44,12),(44,32),(44,72),(44,79),(44,87),(44,99),(44,107),(44,111),(45,6),(45,20),(45,58),(45,68),(45,93),(45,108),(45,109),(45,110),(46,7),(46,12),(46,79),(46,84),(46,99),(46,107),(46,112),(46,113),(47,20),(47,33),(47,58),(47,64),(47,75),(47,93),(47,108),(47,114),(48,24),(48,33),(48,64),(48,71),(48,75),(48,77),(48,103),(48,114),(49,7),(49,28),(49,55),(49,84),(49,89),(49,106),(49,112),(49,113),(50,8),(50,26),(50,59),(50,65),(50,82),(50,107),(50,115),(50,116),(51,30),(51,39),(51,61),(51,74),(51,80),(51,85),(51,108),(51,117),(52,9),(52,39),(52,74),(52,80),(52,86),(52,96),(52,103),(52,117),(53,8),(53,16),(53,59),(53,67),(53,90),(53,106),(53,115),(53,116),(54,19),(54,46),(54,60),(54,61),(54,62),(54,66),(54,67),(54,68),(55,19),(55,43),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,9),(56,10),(56,12),(56,14),(56,41),(56,78),(56,92),(56,118),(57,18),(57,29),(57,48),(57,52),(57,60),(57,94),(57,105),(57,111),(58,27),(58,29),(58,45),(58,52),(58,60),(58,76),(58,105),(58,112),(59,9),(59,39),(59,74),(59,80),(59,86),(59,96),(59,103),(59,117),(60,1),(60,35),(60,54),(60,55),(60,56),(60,57),(60,58),(60,59),(61,1),(61,51),(61,54),(61,55),(61,56),(61,69),(61,70),(61,71),(62,9),(62,10),(62,12),(62,14),(62,41),(62,78),(62,92),(62,118),(63,10),(63,25),(63,49),(63,53),(63,81),(63,100),(63,102),(63,109),(64,7),(64,28),(64,55),(64,84),(64,89),(64,106),(64,112),(64,113),(65,10),(65,22),(65,37),(65,49),(65,91),(65,100),(65,109),(65,117),(66,22),(66,31),(66,37),(66,44),(66,54),(66,91),(66,114),(66,117),(67,25),(67,31),(67,44),(67,53),(67,54),(67,81),(67,102),(67,114),(68,12),(68,32),(68,72),(68,79),(68,87),(68,99),(68,107),(68,111),(69,14),(69,27),(69,38),(69,45),(69,76),(69,97),(69,112),(69,115),(70,5),(70,30),(70,61),(70,85),(70,88),(70,102),(70,104),(70,108),(71,14),(71,18),(71,38),(71,48),(71,94),(71,97),(71,111),(71,115),(72,15),(72,42),(72,43),(72,44),(72,45),(72,104),(72,116),(72,119),(73,17),(73,35),(73,36),(73,37),(73,38),(73,110),(73,113),(73,118),(74,17),(74,50),(74,51),(74,52),(74,53),(74,110),(74,113),(74,118),(75,15),(75,46),(75,47),(75,48),(75,49),(75,104),(75,116),(75,119),(76,11),(76,47),(76,69),(76,81),(76,82),(76,83),(76,86),(76,87),(77,11),(77,42),(77,57),(77,81),(77,82),(77,83),(77,84),(77,85),(78,16),(78,18),(78,20),(78,22),(78,34),(78,56),(78,98),(78,119),(79,25),(79,31),(79,44),(79,53),(79,54),(79,81),(79,102),(79,114),(80,8),(80,16),(80,59),(80,67),(80,90),(80,106),(80,115),(80,116),(81,2),(81,36),(81,63),(81,76),(81,77),(81,78),(81,79),(81,80),(82,2),(82,50),(82,66),(82,76),(82,77),(82,78),(82,88),(82,89),(83,16),(83,18),(83,20),(83,22),(83,34),(83,56),(83,98),(83,119),(84,24),(84,33),(84,64),(84,71),(84,75),(84,77),(84,103),(84,114),(85,14),(85,18),(85,38),(85,48),(85,94),(85,97),(85,111),(85,115),(86,27),(86,29),(86,45),(86,52),(86,60),(86,76),(86,105),(86,112),(87,6),(87,20),(87,58),(87,68),(87,93),(87,108),(87,109),(87,110),(88,26),(88,40),(88,65),(88,70),(88,73),(88,82),(88,105),(88,107),(89,10),(89,22),(89,37),(89,49),(89,91),(89,100),(89,109),(89,117),(90,13),(90,36),(90,63),(90,79),(90,80),(90,93),(90,94),(90,95),(91,13),(91,50),(91,66),(91,88),(91,89),(91,93),(91,94),(91,95),(92,24),(92,25),(92,26),(92,27),(92,34),(92,56),(92,98),(92,119),(93,3),(93,47),(93,69),(93,86),(93,87),(93,90),(93,91),(93,92),(94,3),(94,42),(94,57),(94,84),(94,85),(94,90),(94,91),(94,92),(95,24),(95,25),(95,26),(95,27),(95,34),(95,56),(95,98),(95,119),(96,21),(96,35),(96,57),(96,58),(96,59),(96,99),(96,100),(96,101),(97,21),(97,51),(97,69),(97,70),(97,71),(97,99),(97,100),(97,101),(98,28),(98,29),(98,30),(98,31),(98,41),(98,78),(98,92),(98,118),(99,4),(99,46),(99,66),(99,67),(99,68),(99,96),(99,97),(99,98),(100,4),(100,43),(100,63),(100,64),(100,65),(100,96),(100,97),(100,98),(101,28),(101,29),(101,30),(101,31),(101,41),(101,78),(101,92),(101,118),(102,16),(102,40),(102,67),(102,70),(102,73),(102,90),(102,105),(102,106),(103,18),(103,29),(103,48),(103,52),(103,60),(103,94),(103,105),(103,111),(104,17),(104,35),(104,36),(104,37),(104,38),(104,110),(104,113),(104,118),(105,5),(105,9),(105,86),(105,88),(105,96),(105,102),(105,103),(105,104),(106,10),(106,25),(106,49),(106,53),(106,81),(106,100),(106,102),(106,109),(107,22),(107,31),(107,37),(107,44),(107,54),(107,91),(107,114),(107,117),(108,14),(108,27),(108,38),(108,45),(108,76),(108,97),(108,112),(108,115),(109,28),(109,32),(109,55),(109,72),(109,87),(109,89),(109,106),(109,111),(110,15),(110,42),(110,43),(110,44),(110,45),(110,104),(110,116),(110,119),(111,6),(111,24),(111,68),(111,71),(111,77),(111,103),(111,109),(111,110),(112,20),(112,33),(112,58),(112,64),(112,75),(112,93),(112,108),(112,114),(113,15),(113,46),(113,47),(113,48),(113,49),(113,104),(113,116),(113,119),(114,7),(114,12),(114,79),(114,84),(114,99),(114,107),(114,112),(114,113),(115,30),(115,39),(115,61),(115,74),(115,80),(115,85),(115,108),(115,117),(116,17),(116,50),(116,51),(116,52),(116,53),(116,110),(116,113),(116,118),(117,8),(117,26),(117,59),(117,65),(117,82),(117,107),(117,115),(117,116),(118,62),(118,72),(118,73),(118,74),(118,75),(118,83),(118,95),(118,101),(119,62),(119,72),(119,73),(119,74),(119,75),(119,83),(119,95),(119,101)]
ID: 0 => ('+(x,+(+(x',y'),z'))', D0)
ID: 1 => ('+(x,+(x',+(y',z')))', D1, R1, P[2], S{x8 -> x', x9 -> y', x10 -> z'}), NR: '+(x',+(y',z'))'
ID: 2 => ('+(x,+(y',+(x',z')))', D1, R2, P[2], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 3 => ('+(x,+(+(z',x'),y'))', D1, R3, P[2], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 4 => ('+(x,+(+(z',y'),x'))', D1, R4, P[2], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 5 => ('+(+(x,+(x',y')),z')', D1, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 6 => ('+(+(x,z'),+(x',y'))', D1, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 7 => ('+(+(x',y'),+(z',x))', D1, R7, P[], S{x26 -> +(x',y'), x27 -> z', x28 -> x}), NR: '+(+(x',y'),+(z',x))'
ID: 8 => ('+(z',+(+(x',y'),x))', D1, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 9 => ('+(+(x,x'),+(y',z'))', D2, R5, P[], S{x20 -> x, x21 -> x', x22 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 10 => ('+(+(x,+(y',z')),x')', D2, R6, P[], S{x23 -> x, x24 -> +(y',z'), x25 -> x'}), NR: '+(+(x,+(y',z')),x')'
ID: 11 => ('+(x,+(+(x',z'),y'))', D2, R6, P[2], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 12 => ('+(x',+(+(y',z'),x))', D2, R7, P[], S{x26 -> x', x27 -> +(y',z'), x28 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 13 => ('+(x,+(y',+(z',x')))', D2, R7, P[2], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 14 => ('+(+(y',z'),+(x',x))', D2, R8, P[], S{x29 -> +(y',z'), x30 -> x', x31 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 15 => ('+(x,+(z',+(y',x')))', D2, R8, P[2], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 16 => ('+(+(x,y'),+(x',z'))', D2, R5, P[], S{x20 -> x, x21 -> y', x22 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 17 => ('+(x,+(+(y',x'),z'))', D2, R5, P[2], S{x20 -> y', x21 -> x', x22 -> z'}), NR: '+(+(y',x'),z')'
ID: 18 => ('+(+(x,+(x',z')),y')', D2, R6, P[], S{x23 -> x, x24 -> +(x',z'), x25 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 19 => ('+(x,+(+(y',z'),x'))', D2, R6, P[2], S{x23 -> y', x24 -> z', x25 -> x'}), NR: '+(+(y',z'),x')'
ID: 20 => ('+(y',+(+(x',z'),x))', D2, R7, P[], S{x26 -> y', x27 -> +(x',z'), x28 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 21 => ('+(x,+(x',+(z',y')))', D2, R7, P[2], S{x26 -> x', x27 -> z', x28 -> y'}), NR: '+(x',+(z',y'))'
ID: 22 => ('+(+(x',z'),+(y',x))', D2, R8, P[], S{x29 -> +(x',z'), x30 -> y', x31 -> x}), NR: '+(+(x',z'),+(y',x))'
ID: 23 => ('+(x,+(z',+(x',y')))', D2, R8, P[2], S{x29 -> z', x30 -> x', x31 -> y'}), NR: '+(z',+(x',y'))'
ID: 24 => ('+(+(x,+(z',x')),y')', D2, R5, P[], S{x20 -> x, x21 -> +(z',x'), x22 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 25 => ('+(+(x,y'),+(z',x'))', D2, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(z',x')}), NR: '+(+(x,y'),+(z',x'))'
ID: 26 => ('+(+(z',x'),+(y',x))', D2, R7, P[], S{x26 -> +(z',x'), x27 -> y', x28 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 27 => ('+(y',+(+(z',x'),x))', D2, R8, P[], S{x29 -> y', x30 -> +(z',x'), x31 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 28 => ('+(+(x,+(z',y')),x')', D2, R5, P[], S{x20 -> x, x21 -> +(z',y'), x22 -> x'}), NR: '+(+(x,+(z',y')),x')'
ID: 29 => ('+(+(x,x'),+(z',y'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(z',y')}), NR: '+(+(x,x'),+(z',y'))'
ID: 30 => ('+(+(z',y'),+(x',x))', D2, R7, P[], S{x26 -> +(z',y'), x27 -> x', x28 -> x}), NR: '+(+(z',y'),+(x',x))'
ID: 31 => ('+(x',+(+(z',y'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(z',y'), x31 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 32 => ('+(+(x',y'),+(x,z'))', D2, R2, P[], S{x11 -> +(x',y'), x12 -> x, x13 -> z'}), NR: '+(+(x',y'),+(x,z'))'
ID: 33 => ('+(+(z',x),+(x',y'))', D2, R3, P[], S{x14 -> z', x15 -> x, x16 -> +(x',y')}), NR: '+(+(z',x),+(x',y'))'
ID: 34 => ('+(+(z',+(x',y')),x)', D2, R4, P[], S{x17 -> z', x18 -> +(x',y'), x19 -> x}), NR: '+(+(z',+(x',y')),x)'
ID: 35 => ('+(+(+(x,x'),y'),z')', D2, R5, P[1], S{x20 -> x, x21 -> x', x22 -> y'}), NR: '+(+(x,x'),y')'
ID: 36 => ('+(+(+(x,y'),x'),z')', D2, R6, P[1], S{x23 -> x, x24 -> y', x25 -> x'}), NR: '+(+(x,y'),x')'
ID: 37 => ('+(+(x',+(y',x)),z')', D2, R7, P[1], S{x26 -> x', x27 -> y', x28 -> x}), NR: '+(x',+(y',x))'
ID: 38 => ('+(+(y',+(x',x)),z')', D2, R8, P[1], S{x29 -> y', x30 -> x', x31 -> x}), NR: '+(y',+(x',x))'
ID: 39 => ('+(z',+(x,+(x',y')))', D2, R2, P[], S{x11 -> z', x12 -> x, x13 -> +(x',y')}), NR: '+(z',+(x,+(x',y')))'
ID: 40 => ('+(+(+(x',y'),x),z')', D2, R3, P[], S{x14 -> +(x',y'), x15 -> x, x16 -> z'}), NR: '+(+(+(x',y'),x),z')'
ID: 41 => ('+(+(+(x',y'),z'),x)', D2, R4, P[], S{x17 -> +(x',y'), x18 -> z', x19 -> x}), NR: '+(+(+(x',y'),z'),x)'
ID: 42 => ('+(+(+(x,z'),x'),y')', D2, R5, P[], S{x20 -> +(x,z'), x21 -> x', x22 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 43 => ('+(+(+(x,z'),y'),x')', D2, R6, P[], S{x23 -> +(x,z'), x24 -> y', x25 -> x'}), NR: '+(+(+(x,z'),y'),x')'
ID: 44 => ('+(x',+(y',+(x,z')))', D2, R7, P[], S{x26 -> x', x27 -> y', x28 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 45 => ('+(y',+(x',+(x,z')))', D2, R8, P[], S{x29 -> y', x30 -> x', x31 -> +(x,z')}), NR: '+(y',+(x',+(x,z')))'
ID: 46 => ('+(x',+(y',+(z',x)))', D2, R1, P[], S{x8 -> x', x9 -> y', x10 -> +(z',x)}), NR: '+(x',+(y',+(z',x)))'
ID: 47 => ('+(y',+(x',+(z',x)))', D2, R2, P[], S{x11 -> y', x12 -> x', x13 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 48 => ('+(+(+(z',x),x'),y')', D2, R3, P[], S{x14 -> +(z',x), x15 -> x', x16 -> y'}), NR: '+(+(+(z',x),x'),y')'
ID: 49 => ('+(+(+(z',x),y'),x')', D2, R4, P[], S{x17 -> +(z',x), x18 -> y', x19 -> x'}), NR: '+(+(+(z',x),y'),x')'
ID: 50 => ('+(z',+(x',+(y',x)))', D2, R1, P[2], S{x8 -> x', x9 -> y', x10 -> x}), NR: '+(x',+(y',x))'
ID: 51 => ('+(z',+(y',+(x',x)))', D2, R2, P[2], S{x11 -> y', x12 -> x', x13 -> x}), NR: '+(y',+(x',x))'
ID: 52 => ('+(z',+(+(x,x'),y'))', D2, R3, P[2], S{x14 -> x, x15 -> x', x16 -> y'}), NR: '+(+(x,x'),y')'
ID: 53 => ('+(z',+(+(x,y'),x'))', D2, R4, P[2], S{x17 -> x, x18 -> y', x19 -> x'}), NR: '+(+(x,y'),x')'
ID: 54 => ('+(x',+(x,+(y',z')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 55 => ('+(+(+(y',z'),x),x')', D3, R3, P[], S{x14 -> +(y',z'), x15 -> x, x16 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 56 => ('+(+(+(y',z'),x'),x)', D3, R4, P[], S{x17 -> +(y',z'), x18 -> x', x19 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 57 => ('+(+(+(x,x'),z'),y')', D3, R6, P[], S{x23 -> +(x,x'), x24 -> z', x25 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 58 => ('+(y',+(z',+(x,x')))', D3, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 59 => ('+(z',+(y',+(x,x')))', D3, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 60 => ('+(+(y',z'),+(x,x'))', D3, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 61 => ('+(+(x',x),+(y',z'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 62 => ('+(+(x',+(y',z')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 63 => ('+(+(+(x,y'),z'),x')', D3, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 64 => ('+(+(y',+(z',x)),x')', D3, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 65 => ('+(+(z',+(y',x)),x')', D3, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 66 => ('+(x',+(z',+(y',x)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 67 => ('+(x',+(+(x,y'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 68 => ('+(x',+(+(x,z'),y'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 69 => ('+(y',+(z',+(x',x)))', D3, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 70 => ('+(+(+(x',x),y'),z')', D3, R3, P[], S{x14 -> +(x',x), x15 -> y', x16 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 71 => ('+(+(+(x',x),z'),y')', D3, R4, P[], S{x17 -> +(x',x), x18 -> z', x19 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 72 => ('+(+(x,z'),+(y',x'))', D3, R5, P[], S{x20 -> x, x21 -> z', x22 -> +(y',x')}), NR: '+(+(x,z'),+(y',x'))'
ID: 73 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 74 => ('+(z',+(+(y',x'),x))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 75 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 76 => ('+(y',+(x,+(x',z')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(x',z')}), NR: '+(y',+(x,+(x',z')))'
ID: 77 => ('+(+(+(x',z'),x),y')', D3, R3, P[], S{x14 -> +(x',z'), x15 -> x, x16 -> y'}), NR: '+(+(+(x',z'),x),y')'
ID: 78 => ('+(+(+(x',z'),y'),x)', D3, R4, P[], S{x17 -> +(x',z'), x18 -> y', x19 -> x}), NR: '+(+(+(x',z'),y'),x)'
ID: 79 => ('+(x',+(z',+(x,y')))', D3, R7, P[], S{x26 -> x', x27 -> z', x28 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 80 => ('+(z',+(x',+(x,y')))', D3, R8, P[], S{x29 -> z', x30 -> x', x31 -> +(x,y')}), NR: '+(z',+(x',+(x,y')))'
ID: 81 => ('+(+(x',z'),+(x,y'))', D3, R2, P[], S{x11 -> +(x',z'), x12 -> x, x13 -> y'}), NR: '+(+(x',z'),+(x,y'))'
ID: 82 => ('+(+(y',x),+(x',z'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(x',z')}), NR: '+(+(y',x),+(x',z'))'
ID: 83 => ('+(+(y',+(x',z')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(x',z'), x19 -> x}), NR: '+(+(y',+(x',z')),x)'
ID: 84 => ('+(+(x',+(z',x)),y')', D3, R7, P[1], S{x26 -> x', x27 -> z', x28 -> x}), NR: '+(x',+(z',x))'
ID: 85 => ('+(+(z',+(x',x)),y')', D3, R8, P[1], S{x29 -> z', x30 -> x', x31 -> x}), NR: '+(z',+(x',x))'
ID: 86 => ('+(y',+(+(x,x'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> x', x16 -> z'}), NR: '+(+(x,x'),z')'
ID: 87 => ('+(y',+(+(x,z'),x'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> x'}), NR: '+(+(x,z'),x')'
ID: 88 => ('+(+(+(y',x),x'),z')', D3, R3, P[], S{x14 -> +(y',x), x15 -> x', x16 -> z'}), NR: '+(+(+(y',x),x'),z')'
ID: 89 => ('+(+(+(y',x),z'),x')', D3, R4, P[], S{x17 -> +(y',x), x18 -> z', x19 -> x'}), NR: '+(+(+(y',x),z'),x')'
ID: 90 => ('+(+(z',x'),+(x,y'))', D3, R2, P[], S{x11 -> +(z',x'), x12 -> x, x13 -> y'}), NR: '+(+(z',x'),+(x,y'))'
ID: 91 => ('+(+(y',x),+(z',x'))', D3, R3, P[], S{x14 -> y', x15 -> x, x16 -> +(z',x')}), NR: '+(+(y',x),+(z',x'))'
ID: 92 => ('+(+(y',+(z',x')),x)', D3, R4, P[], S{x17 -> y', x18 -> +(z',x'), x19 -> x}), NR: '+(+(y',+(z',x')),x)'
ID: 93 => ('+(y',+(x,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',x')}), NR: '+(y',+(x,+(z',x')))'
ID: 94 => ('+(+(+(z',x'),x),y')', D3, R3, P[], S{x14 -> +(z',x'), x15 -> x, x16 -> y'}), NR: '+(+(+(z',x'),x),y')'
ID: 95 => ('+(+(+(z',x'),y'),x)', D3, R4, P[], S{x17 -> +(z',x'), x18 -> y', x19 -> x}), NR: '+(+(+(z',x'),y'),x)'
ID: 96 => ('+(+(z',y'),+(x,x'))', D3, R2, P[], S{x11 -> +(z',y'), x12 -> x, x13 -> x'}), NR: '+(+(z',y'),+(x,x'))'
ID: 97 => ('+(+(x',x),+(z',y'))', D3, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(z',y')}), NR: '+(+(x',x),+(z',y'))'
ID: 98 => ('+(+(x',+(z',y')),x)', D3, R4, P[], S{x17 -> x', x18 -> +(z',y'), x19 -> x}), NR: '+(+(x',+(z',y')),x)'
ID: 99 => ('+(x',+(x,+(z',y')))', D3, R2, P[], S{x11 -> x', x12 -> x, x13 -> +(z',y')}), NR: '+(x',+(x,+(z',y')))'
ID: 100 => ('+(+(+(z',y'),x),x')', D3, R3, P[], S{x14 -> +(z',y'), x15 -> x, x16 -> x'}), NR: '+(+(+(z',y'),x),x')'
ID: 101 => ('+(+(+(z',y'),x'),x)', D3, R4, P[], S{x17 -> +(z',y'), x18 -> x', x19 -> x}), NR: '+(+(+(z',y'),x'),x)'
ID: 102 => ('+(+(x',+(x,y')),z')', D3, R2, P[1], S{x11 -> x', x12 -> x, x13 -> y'}), NR: '+(x',+(x,y'))'
ID: 103 => ('+(+(z',+(x,x')),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x,x'), x16 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 104 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 105 => ('+(+(y',+(x,x')),z')', D3, R2, P[1], S{x11 -> y', x12 -> x, x13 -> x'}), NR: '+(y',+(x,x'))'
ID: 106 => ('+(+(z',+(x,y')),x')', D3, R3, P[], S{x14 -> z', x15 -> +(x,y'), x16 -> x'}), NR: '+(+(z',+(x,y')),x')'
ID: 107 => ('+(x',+(+(y',x),z'))', D3, R1, P[], S{x8 -> x', x9 -> +(y',x), x10 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 108 => ('+(y',+(+(x',x),z'))', D3, R1, P[], S{x8 -> y', x9 -> +(x',x), x10 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 109 => ('+(+(y',+(x,z')),x')', D3, R3, P[], S{x14 -> y', x15 -> +(x,z'), x16 -> x'}), NR: '+(+(y',+(x,z')),x')'
ID: 110 => ('+(+(y',x'),+(x,z'))', D3, R4, P[], S{x17 -> y', x18 -> x', x19 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 111 => ('+(+(x',+(x,z')),y')', D3, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 112 => ('+(y',+(+(z',x),x'))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x), x28 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 113 => ('+(+(z',x),+(y',x'))', D3, R8, P[], S{x29 -> +(z',x), x30 -> y', x31 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 114 => ('+(x',+(+(z',x),y'))', D3, R7, P[], S{x26 -> x', x27 -> +(z',x), x28 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 115 => ('+(z',+(+(x',x),y'))', D3, R6, P[2], S{x23 -> x', x24 -> x, x25 -> y'}), NR: '+(+(x',x),y')'
ID: 116 => ('+(z',+(x,+(y',x')))', D3, R8, P[2], S{x29 -> x, x30 -> y', x31 -> x'}), NR: '+(x,+(y',x'))'
ID: 117 => ('+(z',+(+(y',x),x'))', D3, R6, P[2], S{x23 -> y', x24 -> x, x25 -> x'}), NR: '+(+(y',x),x')'
ID: 118 => ('+(+(z',+(y',x')),x)', D4, R2, P[1], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 119 => ('+(+(+(y',x'),z'),x)', D4, R4, P[], S{x17 -> +(y',x'), x18 -> z', x19 -> x}), NR: '+(+(+(y',x'),z'),x)'
t: +(+(x,+(y',z')),x')
Nodes: [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119]
Edges: [(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,0),(1,9),(1,10),(1,11),(1,12),(1,13),(1,14),(1,15),(2,16),(2,17),(2,18),(2,19),(2,20),(2,21),(2,22),(2,23),(3,20),(3,21),(3,22),(3,23),(3,24),(3,25),(3,26),(3,27),(4,0),(4,13),(4,14),(4,15),(4,28),(4,29),(4,30),(4,31),(5,0),(5,32),(5,33),(5,34),(5,35),(5,36),(5,37),(5,38),(6,20),(6,39),(6,40),(6,41),(6,42),(6,43),(6,44),(6,45),(7,20),(7,40),(7,42),(7,44),(7,46),(7,47),(7,48),(7,49),(8,0),(8,34),(8,36),(8,38),(8,50),(8,51),(8,52),(8,53),(9,1),(9,32),(9,54),(9,55),(9,56),(9,57),(9,58),(9,59),(10,22),(10,39),(10,60),(10,61),(10,62),(10,63),(10,64),(10,65),(11,22),(11,48),(11,60),(11,62),(11,64),(11,66),(11,67),(11,68),(12,1),(12,52),(12,55),(12,57),(12,59),(12,69),(12,70),(12,71),(13,16),(13,17),(13,18),(13,19),(13,20),(13,21),(13,22),(13,23),(14,20),(14,21),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(15,1),(15,2),(15,3),(15,4),(15,72),(15,73),(15,74),(15,75),(16,2),(16,46),(16,56),(16,76),(16,77),(16,78),(16,79),(16,80),(17,13),(17,50),(17,63),(17,81),(17,82),(17,83),(17,84),(17,85),(18,13),(18,35),(18,66),(18,81),(18,82),(18,83),(18,86),(18,87),(19,2),(19,43),(19,69),(19,76),(19,77),(19,79),(19,88),(19,89),(20,1),(20,2),(20,3),(20,4),(20,5),(20,6),(20,7),(20,8),(21,0),(21,13),(21,14),(21,15),(21,28),(21,29),(21,30),(21,31),(22,0),(22,9),(22,10),(22,11),(22,12),(22,13),(22,14),(22,15),(23,1),(23,2),(23,3),(23,4),(23,72),(23,73),(23,74),(23,75),(24,3),(24,35),(24,66),(24,86),(24,87),(24,90),(24,91),(24,92),(25,14),(25,43),(25,69),(25,88),(25,89),(25,93),(25,94),(25,95),(26,14),(26,46),(26,56),(26,78),(26,80),(26,93),(26,94),(26,95),(27,3),(27,50),(27,63),(27,84),(27,85),(27,90),(27,91),(27,92),(28,4),(28,48),(28,66),(28,67),(28,68),(28,96),(28,97),(28,98),(29,21),(29,52),(29,69),(29,70),(29,71),(29,99),(29,100),(29,101),(30,21),(30,32),(30,54),(30,56),(30,58),(30,99),(30,100),(30,101),(31,4),(31,39),(31,61),(31,63),(31,65),(31,96),(31,97),(31,98),(32,5),(32,9),(32,85),(32,89),(32,97),(32,102),(32,103),(32,104),(33,17),(33,42),(33,68),(33,70),(33,74),(33,94),(33,105),(33,106),(34,20),(34,39),(34,40),(34,41),(34,42),(34,43),(34,44),(34,45),(35,24),(35,42),(35,61),(35,70),(35,74),(35,76),(35,106),(35,107),(36,20),(36,40),(36,42),(36,44),(36,46),(36,47),(36,48),(36,49),(37,5),(37,29),(37,64),(37,78),(37,85),(37,103),(37,104),(37,108),(38,5),(38,6),(38,7),(38,8),(38,60),(38,81),(38,93),(38,99),(39,6),(39,10),(39,80),(39,87),(39,101),(39,105),(39,109),(39,110),(40,5),(40,6),(40,7),(40,8),(40,60),(40,81),(40,93),(40,99),(41,16),(41,34),(41,67),(41,71),(41,75),(41,90),(41,102),(41,111),(42,0),(42,32),(42,33),(42,34),(42,35),(42,36),(42,37),(42,38),(43,25),(43,34),(43,54),(43,67),(43,75),(43,82),(43,108),(43,111),(44,0),(44,34),(44,36),(44,38),(44,50),(44,51),(44,52),(44,53),(45,6),(45,28),(45,57),(45,80),(45,84),(45,107),(45,109),(45,110),(46,7),(46,16),(46,65),(46,71),(46,90),(46,102),(46,112),(46,113),(47,10),(47,36),(47,72),(47,87),(47,88),(47,101),(47,105),(47,114),(48,28),(48,36),(48,57),(48,72),(48,84),(48,88),(48,107),(48,114),(49,7),(49,25),(49,54),(49,65),(49,82),(49,108),(49,112),(49,113),(50,8),(50,17),(50,58),(50,68),(50,94),(50,105),(50,115),(50,116),(51,9),(51,44),(51,73),(51,86),(51,89),(51,97),(51,102),(51,117),(52,29),(52,44),(52,64),(52,73),(52,78),(52,86),(52,108),(52,117),(53,8),(53,24),(53,58),(53,61),(53,76),(53,107),(53,115),(53,116),(54,19),(54,30),(54,49),(54,51),(54,62),(54,91),(54,106),(54,109),(55,22),(55,39),(55,60),(55,61),(55,62),(55,63),(55,64),(55,65),(56,26),(56,30),(56,41),(56,51),(56,62),(56,83),(56,106),(56,114),(57,22),(57,48),(57,60),(57,62),(57,64),(57,66),(57,67),(57,68),(58,9),(58,44),(58,73),(58,86),(58,89),(58,97),(58,102),(58,117),(59,9),(59,10),(59,11),(59,12),(59,40),(59,79),(59,92),(59,118),(60,9),(60,10),(60,11),(60,12),(60,40),(60,79),(60,92),(60,118),(61,18),(61,31),(61,47),(61,53),(61,55),(61,95),(61,103),(61,111),(62,1),(62,32),(62,54),(62,55),(62,56),(62,57),(62,58),(62,59),(63,27),(63,31),(63,33),(63,47),(63,55),(63,77),(63,111),(63,117),(64,1),(64,52),(64,55),(64,57),(64,59),(64,69),(64,70),(64,71),(65,10),(65,36),(65,72),(65,87),(65,88),(65,101),(65,105),(65,114),(66,11),(66,18),(66,45),(66,53),(66,95),(66,100),(66,103),(66,112),(67,6),(67,28),(67,57),(67,80),(67,84),(67,107),(67,109),(67,110),(68,11),(68,27),(68,33),(68,45),(68,77),(68,100),(68,112),(68,117),(69,12),(69,19),(69,37),(69,49),(69,91),(69,96),(69,109),(69,115),(70,5),(70,29),(70,64),(70,78),(70,85),(70,103),(70,104),(70,108),(71,12),(71,26),(71,37),(71,41),(71,83),(71,96),(71,114),(71,115),(72,15),(72,46),(72,47),(72,48),(72,49),(72,104),(72,116),(72,119),(73,23),(73,50),(73,51),(73,52),(73,53),(73,110),(73,113),(73,118),(74,23),(74,32),(74,33),(74,35),(74,37),(74,110),(74,113),(74,118),(75,15),(75,39),(75,41),(75,43),(75,45),(75,104),(75,116),(75,119),(76,13),(76,35),(76,66),(76,81),(76,82),(76,83),(76,86),(76,87),(77,13),(77,50),(77,63),(77,81),(77,82),(77,83),(77,84),(77,85),(78,12),(78,26),(78,37),(78,41),(78,83),(78,96),(78,114),(78,115)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ID: 0 => ('+(+(x,+(y',z')),x')', D0)
ID: 1 => ('+(x,+(+(y',z'),x'))', D1, R1, P[], S{x8 -> x, x9 -> +(y',z'), x10 -> x'}), NR: '+(x,+(+(y',z'),x'))'
ID: 2 => ('+(+(y',z'),+(x,x'))', D1, R2, P[], S{x11 -> +(y',z'), x12 -> x, x13 -> x'}), NR: '+(+(y',z'),+(x,x'))'
ID: 3 => ('+(+(x',x),+(y',z'))', D1, R3, P[], S{x14 -> x', x15 -> x, x16 -> +(y',z')}), NR: '+(+(x',x),+(y',z'))'
ID: 4 => ('+(+(x',+(y',z')),x)', D1, R4, P[], S{x17 -> x', x18 -> +(y',z'), x19 -> x}), NR: '+(+(x',+(y',z')),x)'
ID: 5 => ('+(+(+(x,y'),z'),x')', D1, R5, P[1], S{x20 -> x, x21 -> y', x22 -> z'}), NR: '+(+(x,y'),z')'
ID: 6 => ('+(+(+(x,z'),y'),x')', D1, R6, P[1], S{x23 -> x, x24 -> z', x25 -> y'}), NR: '+(+(x,z'),y')'
ID: 7 => ('+(+(y',+(z',x)),x')', D1, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x}), NR: '+(y',+(z',x))'
ID: 8 => ('+(+(z',+(y',x)),x')', D1, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x}), NR: '+(z',+(y',x))'
ID: 9 => ('+(x,+(y',+(z',x')))', D2, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x'}), NR: '+(y',+(z',x'))'
ID: 10 => ('+(x,+(z',+(y',x')))', D2, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x'}), NR: '+(z',+(y',x'))'
ID: 11 => ('+(x,+(+(x',y'),z'))', D2, R3, P[2], S{x14 -> x', x15 -> y', x16 -> z'}), NR: '+(+(x',y'),z')'
ID: 12 => ('+(x,+(+(x',z'),y'))', D2, R4, P[2], S{x17 -> x', x18 -> z', x19 -> y'}), NR: '+(+(x',z'),y')'
ID: 13 => ('+(+(x,x'),+(y',z'))', D2, R6, P[], S{x23 -> x, x24 -> x', x25 -> +(y',z')}), NR: '+(+(x,x'),+(y',z'))'
ID: 14 => ('+(+(y',z'),+(x',x))', D2, R7, P[], S{x26 -> +(y',z'), x27 -> x', x28 -> x}), NR: '+(+(y',z'),+(x',x))'
ID: 15 => ('+(x',+(+(y',z'),x))', D2, R8, P[], S{x29 -> x', x30 -> +(y',z'), x31 -> x}), NR: '+(x',+(+(y',z'),x))'
ID: 16 => ('+(y',+(z',+(x,x')))', D2, R1, P[], S{x8 -> y', x9 -> z', x10 -> +(x,x')}), NR: '+(y',+(z',+(x,x')))'
ID: 17 => ('+(z',+(y',+(x,x')))', D2, R2, P[], S{x11 -> z', x12 -> y', x13 -> +(x,x')}), NR: '+(z',+(y',+(x,x')))'
ID: 18 => ('+(+(+(x,x'),y'),z')', D2, R3, P[], S{x14 -> +(x,x'), x15 -> y', x16 -> z'}), NR: '+(+(+(x,x'),y'),z')'
ID: 19 => ('+(+(+(x,x'),z'),y')', D2, R4, P[], S{x17 -> +(x,x'), x18 -> z', x19 -> y'}), NR: '+(+(+(x,x'),z'),y')'
ID: 20 => ('+(+(+(y',z'),x),x')', D2, R5, P[], S{x20 -> +(y',z'), x21 -> x, x22 -> x'}), NR: '+(+(+(y',z'),x),x')'
ID: 21 => ('+(+(+(y',z'),x'),x)', D2, R6, P[], S{x23 -> +(y',z'), x24 -> x', x25 -> x}), NR: '+(+(+(y',z'),x'),x)'
ID: 22 => ('+(x,+(x',+(y',z')))', D2, R7, P[], S{x26 -> x, x27 -> x', x28 -> +(y',z')}), NR: '+(x,+(x',+(y',z')))'
ID: 23 => ('+(x',+(x,+(y',z')))', D2, R8, P[], S{x29 -> x', x30 -> x, x31 -> +(y',z')}), NR: '+(x',+(x,+(y',z')))'
ID: 24 => ('+(+(+(x',x),y'),z')', D2, R5, P[], S{x20 -> +(x',x), x21 -> y', x22 -> z'}), NR: '+(+(+(x',x),y'),z')'
ID: 25 => ('+(+(+(x',x),z'),y')', D2, R6, P[], S{x23 -> +(x',x), x24 -> z', x25 -> y'}), NR: '+(+(+(x',x),z'),y')'
ID: 26 => ('+(y',+(z',+(x',x)))', D2, R7, P[], S{x26 -> y', x27 -> z', x28 -> +(x',x)}), NR: '+(y',+(z',+(x',x)))'
ID: 27 => ('+(z',+(y',+(x',x)))', D2, R8, P[], S{x29 -> z', x30 -> y', x31 -> +(x',x)}), NR: '+(z',+(y',+(x',x)))'
ID: 28 => ('+(+(+(x',y'),z'),x)', D2, R5, P[1], S{x20 -> x', x21 -> y', x22 -> z'}), NR: '+(+(x',y'),z')'
ID: 29 => ('+(+(+(x',z'),y'),x)', D2, R6, P[1], S{x23 -> x', x24 -> z', x25 -> y'}), NR: '+(+(x',z'),y')'
ID: 30 => ('+(+(y',+(z',x')),x)', D2, R7, P[1], S{x26 -> y', x27 -> z', x28 -> x'}), NR: '+(y',+(z',x'))'
ID: 31 => ('+(+(z',+(y',x')),x)', D2, R8, P[1], S{x29 -> z', x30 -> y', x31 -> x'}), NR: '+(z',+(y',x'))'
ID: 32 => ('+(+(x,y'),+(z',x'))', D2, R1, P[], S{x8 -> +(x,y'), x9 -> z', x10 -> x'}), NR: '+(+(x,y'),+(z',x'))'
ID: 33 => ('+(z',+(+(x,y'),x'))', D2, R2, P[], S{x11 -> z', x12 -> +(x,y'), x13 -> x'}), NR: '+(z',+(+(x,y'),x'))'
ID: 34 => ('+(+(y',+(x,z')),x')', D2, R2, P[1], S{x11 -> y', x12 -> x, x13 -> z'}), NR: '+(y',+(x,z'))'
ID: 35 => ('+(+(x',+(x,y')),z')', D2, R3, P[], S{x14 -> x', x15 -> +(x,y'), x16 -> z'}), NR: '+(+(x',+(x,y')),z')'
ID: 36 => ('+(+(+(z',x),y'),x')', D2, R3, P[1], S{x14 -> z', x15 -> x, x16 -> y'}), NR: '+(+(z',x),y')'
ID: 37 => ('+(+(x',z'),+(x,y'))', D2, R4, P[], S{x17 -> x', x18 -> z', x19 -> +(x,y')}), NR: '+(+(x',z'),+(x,y'))'
ID: 38 => ('+(+(+(z',y'),x),x')', D2, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x}), NR: '+(+(z',y'),x)'
ID: 39 => ('+(+(x,z'),+(y',x'))', D2, R1, P[], S{x8 -> +(x,z'), x9 -> y', x10 -> x'}), NR: '+(+(x,z'),+(y',x'))'
ID: 40 => ('+(+(x,+(z',y')),x')', D2, R1, P[1], S{x8 -> x, x9 -> z', x10 -> y'}), NR: '+(x,+(z',y'))'
ID: 41 => ('+(y',+(+(x,z'),x'))', D2, R2, P[], S{x11 -> y', x12 -> +(x,z'), x13 -> x'}), NR: '+(y',+(+(x,z'),x'))'
ID: 42 => ('+(+(z',+(x,y')),x')', D2, R2, P[1], S{x11 -> z', x12 -> x, x13 -> y'}), NR: '+(z',+(x,y'))'
ID: 43 => ('+(+(x',+(x,z')),y')', D2, R3, P[], S{x14 -> x', x15 -> +(x,z'), x16 -> y'}), NR: '+(+(x',+(x,z')),y')'
ID: 44 => ('+(+(+(y',x),z'),x')', D2, R3, P[1], S{x14 -> y', x15 -> x, x16 -> z'}), NR: '+(+(y',x),z')'
ID: 45 => ('+(+(x',y'),+(x,z'))', D2, R4, P[], S{x17 -> x', x18 -> y', x19 -> +(x,z')}), NR: '+(+(x',y'),+(x,z'))'
ID: 46 => ('+(y',+(+(z',x),x'))', D2, R1, P[], S{x8 -> y', x9 -> +(z',x), x10 -> x'}), NR: '+(y',+(+(z',x),x'))'
ID: 47 => ('+(+(z',x),+(y',x'))', D2, R2, P[], S{x11 -> +(z',x), x12 -> y', x13 -> x'}), NR: '+(+(z',x),+(y',x'))'
ID: 48 => ('+(+(x',y'),+(z',x))', D2, R3, P[], S{x14 -> x', x15 -> y', x16 -> +(z',x)}), NR: '+(+(x',y'),+(z',x))'
ID: 49 => ('+(+(x',+(z',x)),y')', D2, R4, P[], S{x17 -> x', x18 -> +(z',x), x19 -> y'}), NR: '+(+(x',+(z',x)),y')'
ID: 50 => ('+(z',+(+(y',x),x'))', D2, R1, P[], S{x8 -> z', x9 -> +(y',x), x10 -> x'}), NR: '+(z',+(+(y',x),x'))'
ID: 51 => ('+(+(y',x),+(z',x'))', D2, R2, P[], S{x11 -> +(y',x), x12 -> z', x13 -> x'}), NR: '+(+(y',x),+(z',x'))'
ID: 52 => ('+(+(x',z'),+(y',x))', D2, R3, P[], S{x14 -> x', x15 -> z', x16 -> +(y',x)}), NR: '+(+(x',z'),+(y',x))'
ID: 53 => ('+(+(x',+(y',x)),z')', D2, R4, P[], S{x17 -> x', x18 -> +(y',x), x19 -> z'}), NR: '+(+(x',+(y',x)),z')'
ID: 54 => ('+(+(x,+(z',x')),y')', D3, R6, P[], S{x23 -> x, x24 -> +(z',x'), x25 -> y'}), NR: '+(+(x,+(z',x')),y')'
ID: 55 => ('+(x,+(+(y',x'),z'))', D3, R6, P[2], S{x23 -> y', x24 -> x', x25 -> z'}), NR: '+(+(y',x'),z')'
ID: 56 => ('+(y',+(+(z',x'),x))', D3, R7, P[], S{x26 -> y', x27 -> +(z',x'), x28 -> x}), NR: '+(y',+(+(z',x'),x))'
ID: 57 => ('+(x,+(z',+(x',y')))', D3, R7, P[2], S{x26 -> z', x27 -> x', x28 -> y'}), NR: '+(z',+(x',y'))'
ID: 58 => ('+(+(z',x'),+(y',x))', D3, R8, P[], S{x29 -> +(z',x'), x30 -> y', x31 -> x}), NR: '+(+(z',x'),+(y',x))'
ID: 59 => ('+(x,+(x',+(z',y')))', D3, R8, P[2], S{x29 -> x', x30 -> z', x31 -> y'}), NR: '+(x',+(z',y'))'
ID: 60 => ('+(x,+(+(z',y'),x'))', D3, R5, P[2], S{x20 -> z', x21 -> y', x22 -> x'}), NR: '+(+(z',y'),x')'
ID: 61 => ('+(+(x,+(y',x')),z')', D3, R6, P[], S{x23 -> x, x24 -> +(y',x'), x25 -> z'}), NR: '+(+(x,+(y',x')),z')'
ID: 62 => ('+(x,+(+(z',x'),y'))', D3, R6, P[2], S{x23 -> z', x24 -> x', x25 -> y'}), NR: '+(+(z',x'),y')'
ID: 63 => ('+(z',+(+(y',x'),x))', D3, R7, P[], S{x26 -> z', x27 -> +(y',x'), x28 -> x}), NR: '+(z',+(+(y',x'),x))'
ID: 64 => ('+(x,+(y',+(x',z')))', D3, R7, P[2], S{x26 -> y', x27 -> x', x28 -> z'}), NR: '+(y',+(x',z'))'
ID: 65 => ('+(+(y',x'),+(z',x))', D3, R8, P[], S{x29 -> +(y',x'), x30 -> z', x31 -> x}), NR: '+(+(y',x'),+(z',x))'
ID: 66 => ('+(+(x,+(x',y')),z')', D3, R5, P[], S{x20 -> x, x21 -> +(x',y'), x22 -> z'}), NR: '+(+(x,+(x',y')),z')'
ID: 67 => ('+(+(x,z'),+(x',y'))', D3, R6, P[], S{x23 -> x, x24 -> z', x25 -> +(x',y')}), NR: '+(+(x,z'),+(x',y'))'
ID: 68 => ('+(z',+(+(x',y'),x))', D3, R8, P[], S{x29 -> z', x30 -> +(x',y'), x31 -> x}), NR: '+(z',+(+(x',y'),x))'
ID: 69 => ('+(+(x,+(x',z')),y')', D3, R5, P[], S{x20 -> x, x21 -> +(x',z'), x22 -> y'}), NR: '+(+(x,+(x',z')),y')'
ID: 70 => ('+(+(x,y'),+(x',z'))', D3, R6, P[], S{x23 -> x, x24 -> y', x25 -> +(x',z')}), NR: '+(+(x,y'),+(x',z'))'
ID: 71 => ('+(y',+(+(x',z'),x))', D3, R8, P[], S{x29 -> y', x30 -> +(x',z'), x31 -> x}), NR: '+(y',+(+(x',z'),x))'
ID: 72 => ('+(x',+(y',+(z',x)))', D3, R1, P[2], S{x8 -> y', x9 -> z', x10 -> x}), NR: '+(y',+(z',x))'
ID: 73 => ('+(x',+(z',+(y',x)))', D3, R2, P[2], S{x11 -> z', x12 -> y', x13 -> x}), NR: '+(z',+(y',x))'
ID: 74 => ('+(x',+(+(x,y'),z'))', D3, R3, P[2], S{x14 -> x, x15 -> y', x16 -> z'}), NR: '+(+(x,y'),z')'
ID: 75 => ('+(x',+(+(x,z'),y'))', D3, R4, P[2], S{x17 -> x, x18 -> z', x19 -> y'}), NR: '+(+(x,z'),y')'
ID: 76 => ('+(+(y',+(x,x')),z')', D3, R6, P[], S{x23 -> y', x24 -> +(x,x'), x25 -> z'}), NR: '+(+(y',+(x,x')),z')'
ID: 77 => ('+(z',+(+(x,x'),y'))', D3, R7, P[], S{x26 -> z', x27 -> +(x,x'), x28 -> y'}), NR: '+(z',+(+(x,x'),y'))'
ID: 78 => ('+(y',+(x,+(x',z')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> z'}), NR: '+(x,+(x',z'))'
ID: 79 => ('+(+(x,x'),+(z',y'))', D3, R8, P[], S{x29 -> +(x,x'), x30 -> z', x31 -> y'}), NR: '+(+(x,x'),+(z',y'))'
ID: 80 => ('+(y',+(x',+(x,z')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> z'}), NR: '+(x',+(x,z'))'
ID: 81 => ('+(+(z',y'),+(x,x'))', D3, R5, P[], S{x20 -> z', x21 -> y', x22 -> +(x,x')}), NR: '+(+(z',y'),+(x,x'))'
ID: 82 => ('+(+(z',+(x,x')),y')', D3, R6, P[], S{x23 -> z', x24 -> +(x,x'), x25 -> y'}), NR: '+(+(z',+(x,x')),y')'
ID: 83 => ('+(y',+(+(x,x'),z'))', D3, R7, P[], S{x26 -> y', x27 -> +(x,x'), x28 -> z'}), NR: '+(y',+(+(x,x'),z'))'
ID: 84 => ('+(z',+(x,+(x',y')))', D3, R7, P[2], S{x26 -> x, x27 -> x', x28 -> y'}), NR: '+(x,+(x',y'))'
ID: 85 => ('+(z',+(x',+(x,y')))', D3, R8, P[2], S{x29 -> x', x30 -> x, x31 -> y'}), NR: '+(x',+(x,y'))'
ID: 86 => ('+(+(+(y',x),x'),z')', D3, R3, P[1], S{x14 -> y', x15 -> x, x16 -> x'}), NR: '+(+(y',x),x')'
ID: 87 => ('+(+(+(y',x'),x),z')', D3, R4, P[1], S{x17 -> y', x18 -> x', x19 -> x}), NR: '+(+(y',x'),x)'
ID: 88 => ('+(+(+(z',x),x'),y')', D3, R3, P[1], S{x14 -> z', x15 -> x, x16 -> x'}), NR: '+(+(z',x),x')'
ID: 89 => ('+(+(+(z',x'),x),y')', D3, R4, P[1], S{x17 -> z', x18 -> x', x19 -> x}), NR: '+(+(z',x'),x)'
ID: 90 => ('+(y',+(+(x',x),z'))', D3, R2, P[], S{x11 -> y', x12 -> +(x',x), x13 -> z'}), NR: '+(y',+(+(x',x),z'))'
ID: 91 => ('+(+(z',+(x',x)),y')', D3, R3, P[], S{x14 -> z', x15 -> +(x',x), x16 -> y'}), NR: '+(+(z',+(x',x)),y')'
ID: 92 => ('+(+(z',y'),+(x',x))', D3, R4, P[], S{x17 -> z', x18 -> y', x19 -> +(x',x)}), NR: '+(+(z',y'),+(x',x))'
ID: 93 => ('+(+(x',x),+(z',y'))', D3, R1, P[], S{x8 -> +(x',x), x9 -> z', x10 -> y'}), NR: '+(+(x',x),+(z',y'))'
ID: 94 => ('+(z',+(+(x',x),y'))', D3, R2, P[], S{x11 -> z', x12 -> +(x',x), x13 -> y'}), NR: '+(z',+(+(x',x),y'))'
ID: 95 => ('+(+(y',+(x',x)),z')', D3, R3, P[], S{x14 -> y', x15 -> +(x',x), x16 -> z'}), NR: '+(+(y',+(x',x)),z')'
ID: 96 => ('+(+(y',+(x',z')),x)', D3, R2, P[1], S{x11 -> y', x12 -> x', x13 -> z'}), NR: '+(y',+(x',z'))'
ID: 97 => ('+(+(+(z',x'),y'),x)', D3, R3, P[1], S{x14 -> z', x15 -> x', x16 -> y'}), NR: '+(+(z',x'),y')'
ID: 98 => ('+(+(+(z',y'),x'),x)', D3, R4, P[1], S{x17 -> z', x18 -> y', x19 -> x'}), NR: '+(+(z',y'),x')'
ID: 99 => ('+(+(x',+(z',y')),x)', D3, R1, P[1], S{x8 -> x', x9 -> z', x10 -> y'}), NR: '+(x',+(z',y'))'
ID: 100 => ('+(+(z',+(x',y')),x)', D3, R2, P[1], S{x11 -> z', x12 -> x', x13 -> y'}), NR: '+(z',+(x',y'))'
ID: 101 => ('+(+(+(y',x'),z'),x)', D3, R3, P[1], S{x14 -> y', x15 -> x', x16 -> z'}), NR: '+(+(y',x'),z')'
ID: 102 => ('+(y',+(x,+(z',x')))', D3, R2, P[], S{x11 -> y', x12 -> x, x13 -> +(z',x')}), NR: '+(y',+(x,+(z',x')))'
ID: 103 => ('+(+(+(x,y'),x'),z')', D3, R6, P[], S{x23 -> +(x,y'), x24 -> x', x25 -> z'}), NR: '+(+(+(x,y'),x'),z')'
ID: 104 => ('+(x',+(z',+(x,y')))', D3, R8, P[], S{x29 -> x', x30 -> z', x31 -> +(x,y')}), NR: '+(x',+(z',+(x,y')))'
ID: 105 => ('+(z',+(x,+(y',x')))', D3, R1, P[2], S{x8 -> x, x9 -> y', x10 -> x'}), NR: '+(x,+(y',x'))'
ID: 106 => ('+(+(z',x'),+(x,y'))', D3, R6, P[], S{x23 -> z', x24 -> x', x25 -> +(x,y')}), NR: '+(+(z',x'),+(x,y'))'
ID: 107 => ('+(+(+(x',y'),x),z')', D3, R6, P[1], S{x23 -> x', x24 -> y', x25 -> x}), NR: '+(+(x',y'),x)'
ID: 108 => ('+(+(+(x',z'),x),y')', D3, R5, P[], S{x20 -> +(x',z'), x21 -> x, x22 -> y'}), NR: '+(+(+(x',z'),x),y')'
ID: 109 => ('+(+(+(x,z'),x'),y')', D3, R6, P[], S{x23 -> +(x,z'), x24 -> x', x25 -> y'}), NR: '+(+(+(x,z'),x'),y')'
ID: 110 => ('+(x',+(y',+(x,z')))', D3, R8, P[], S{x29 -> x', x30 -> y', x31 -> +(x,z')}), NR: '+(x',+(y',+(x,z')))'
ID: 111 => ('+(+(y',x'),+(x,z'))', D3, R6, P[], S{x23 -> y', x24 -> x', x25 -> +(x,z')}), NR: '+(+(y',x'),+(x,z'))'
ID: 112 => ('+(+(z',x),+(x',y'))', D3, R7, P[], S{x26 -> +(z',x), x27 -> x', x28 -> y'}), NR: '+(+(z',x),+(x',y'))'
ID: 113 => ('+(x',+(+(z',x),y'))', D3, R8, P[], S{x29 -> x', x30 -> +(z',x), x31 -> y'}), NR: '+(x',+(+(z',x),y'))'
ID: 114 => ('+(y',+(x',+(z',x)))', D3, R7, P[], S{x26 -> y', x27 -> x', x28 -> +(z',x)}), NR: '+(y',+(x',+(z',x)))'
ID: 115 => ('+(+(y',x),+(x',z'))', D3, R7, P[], S{x26 -> +(y',x), x27 -> x', x28 -> z'}), NR: '+(+(y',x),+(x',z'))'
ID: 116 => ('+(x',+(+(y',x),z'))', D3, R8, P[], S{x29 -> x', x30 -> +(y',x), x31 -> z'}), NR: '+(x',+(+(y',x),z'))'
ID: 117 => ('+(z',+(x',+(y',x)))', D3, R7, P[], S{x26 -> z', x27 -> x', x28 -> +(y',x)}), NR: '+(z',+(x',+(y',x)))'
ID: 118 => ('+(x',+(+(z',y'),x))', D4, R7, P[], S{x26 -> x', x27 -> +(z',y'), x28 -> x}), NR: '+(x',+(+(z',y'),x))'
ID: 119 => ('+(x',+(x,+(z',y')))', D4, R8, P[2], S{x29 -> x, x30 -> z', x31 -> y'}), NR: '+(x,+(z',y'))'
SNodesPath1: +(x,+(+(x',y'),z'))
TNodesPath1: +(+(x,+(y',z')),x') -> +(x,+(+(y',z'),x')) -> +(x,+(y',+(z',x'))) -> +(+(x,y'),+(z',x')) -> +(+(+(x,y'),z'),x') -> +(z',+(+(x,y'),x')) -> +(z',+(y',+(x,x'))) -> +(+(x,x'),+(y',z')) -> +(y',+(z',+(x,x'))) -> +(+(y',z'),+(x,x')) -> +(+(+(x,x'),y'),z') -> +(+(x',+(x,y')),z') -> +(+(+(x',x),y'),z') -> +(+(x',x),+(y',z')) -> +(+(+(y',z'),x),x') -> +(+(x',+(y',z')),x) -> +(+(y',z'),+(x',x)) -> +(+(+(y',z'),x'),x) -> +(x',+(+(y',z'),x)) -> +(x',+(y',+(z',x))) -> +(y',+(+(z',x),x')) -> +(+(y',+(z',x)),x') -> +(+(x,+(z',y')),x') -> +(+(+(x,z'),y'),x') -> +(+(x,z'),+(y',x')) -> +(x,+(z',+(y',x'))) -> +(x,+(x',+(y',z'))) -> +(x,+(+(x',y'),z'))
SNodesPath2: +(x,+(+(x',y'),z')) -> +(x,+(x',+(y',z'))) -> +(+(x,x'),+(y',z')) -> +(+(+(x,x'),y'),z') -> +(+(x,+(x',y')),z') -> +(+(x',y'),+(x,z')) -> +(x,+(z',+(x',y'))) -> +(x,+(y',+(x',z'))) -> +(+(x,y'),+(x',z')) -> +(+(+(x,y'),x'),z') -> +(+(+(x',y'),x),z') -> +(+(z',x),+(x',y')) -> +(z',+(x,+(x',y'))) -> +(+(z',+(x',y')),x) -> +(+(x,z'),+(x',y')) -> +(+(+(x',y'),z'),x) -> +(+(x',y'),+(z',x)) -> +(x',+(y',+(z',x))) -> +(x',+(+(y',z'),x)) -> +(x,+(+(y',z'),x')) -> +(+(x,+(y',z')),x')
TNodesPath2: +(+(x,+(y',z')),x')
+(x,+(+(x',y'),z')) ->= +(x,+(+(x',y'),z')) *<- +(+(x,+(y',z')),x')
+(+(x,+(y',z')),x') ->= +(+(x,+(y',z')),x') *<- +(x,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.18: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(x',+(y',z'))),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N50
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(x',+(y',z')))
Nodes: []
Edges: []

t: +(+(x,z'),+(y',x'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x,+(x',+(y',z'))) ->= +(x,+(x',+(y',z'))) *<- +(+(x,z'),+(y',x'))
+(+(x,z'),+(y',x')) ->= +(+(x,z'),+(y',x')) *<- +(x,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.19: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(x',+(y',z'))),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N52
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(x',+(y',z')))
Nodes: []
Edges: []

t: +(+(x,z'),+(x',y'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x,+(x',+(y',z'))) ->= +(x,+(x',+(y',z'))) *<- +(+(x,z'),+(x',y'))
+(+(x,z'),+(x',y')) ->= +(+(x,z'),+(x',y')) *<- +(x,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.20: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(x',+(y',z'))),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N53
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(x',+(y',z')))
Nodes: []
Edges: []

t: +(+(x',y'),+(z',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(z,+(x',+(y',z'))) ->= +(z,+(x',+(y',z'))) *<- +(+(x',y'),+(z',z))
+(+(x',y'),+(z',z)) ->= +(+(x',y'),+(z',z)) *<- +(z,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.21: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(+(x',y'),z')),+(+(x,x'),+(z',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N54
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(+(x',y'),z'))
Nodes: []
Edges: []

t: +(+(x,x'),+(z',y'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x,+(+(x',y'),z')) ->= +(x,+(+(x',y'),z')) *<- +(+(x,x'),+(z',y'))
+(+(x,x'),+(z',y')) ->= +(+(x,x'),+(z',y')) *<- +(x,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.22: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),z),+(z',+(+(x',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N55
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),z)
Nodes: []
Edges: []

t: +(z',+(+(x',y'),z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),z) ->= +(+(x',+(y',z')),z) *<- +(z',+(+(x',y'),z))
+(z',+(+(x',y'),z)) ->= +(z',+(+(x',y'),z)) *<- +(+(x',+(y',z')),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.23: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(x,y))),+(x,+(y,+(x',y')))>   =>  Not trivial, Overlay, Proper, NW0, N56
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(x,y)))
Nodes: []
Edges: []

t: +(x,+(y,+(x',y')))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',+(x,y))) ->= +(x',+(y',+(x,y))) *<- +(x,+(y,+(x',y')))
+(x,+(y,+(x',y'))) ->= +(x,+(y,+(x',y'))) *<- +(x',+(y',+(x,y)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.24: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),z),+(z',+(+(y',x'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N58
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),z)
Nodes: []
Edges: []

t: +(z',+(+(y',x'),z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),z) ->= +(+(x',+(y',z')),z) *<- +(z',+(+(y',x'),z))
+(z',+(+(y',x'),z)) ->= +(z',+(+(y',x'),z)) *<- +(+(x',+(y',z')),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.25: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',z')),+(+(z',y'),x')>   =>  Not trivial, Overlay, Proper, NW0, N59
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',z'))
Nodes: []
Edges: []

t: +(+(z',y'),x')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',z')) ->= +(x',+(y',z')) *<- +(+(z',y'),x')
+(+(z',y'),x') ->= +(+(z',y'),x') *<- +(x',+(y',z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.26: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(y,z))),+(+(+(y',x'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N60
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(y,z)))
Nodes: []
Edges: []

t: +(+(+(y',x'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',+(y,z))) ->= +(x',+(y',+(y,z))) *<- +(+(+(y',x'),y),z)
+(+(+(y',x'),y),z) ->= +(+(+(y',x'),y),z) *<- +(x',+(y',+(y,z)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.27: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(y,x))),+(x,+(y,+(x',y')))>   =>  Not trivial, Overlay, Proper, NW0, N61
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(y,x)))
Nodes: []
Edges: []

t: +(x,+(y,+(x',y')))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',+(y,x))) ->= +(x',+(y',+(y,x))) *<- +(x,+(y,+(x',y')))
+(x,+(y,+(x',y'))) ->= +(x,+(y,+(x',y'))) *<- +(x',+(y',+(y,x)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.28: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',z')),+(+(z',x'),y')>   =>  Not trivial, Overlay, Proper, NW0, N62
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',z'))
Nodes: []
Edges: []

t: +(+(z',x'),y')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',z')) ->= +(x',+(y',z')) *<- +(+(z',x'),y')
+(+(z',x'),y') ->= +(+(z',x'),y') *<- +(x',+(y',z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.29: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),z),+(x',+(+(y',z'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N63
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),z)
Nodes: []
Edges: []

t: +(x',+(+(y',z'),z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(x',y'),z'),z) ->= +(+(+(x',y'),z'),z) *<- +(x',+(+(y',z'),z))
+(x',+(+(y',z'),z)) ->= +(x',+(+(y',z'),z)) *<- +(+(+(x',y'),z'),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.30: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(+(x',y'),z')),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N64
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(+(x',y'),z'))
Nodes: []
Edges: []

t: +(+(y',z'),+(x',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(z,+(+(x',y'),z')) ->= +(z,+(+(x',y'),z')) *<- +(+(y',z'),+(x',z))
+(+(y',z'),+(x',z)) ->= +(+(y',z'),+(x',z)) *<- +(z,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.31: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),z),+(+(y',z'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N65
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),z)
Nodes: []
Edges: []

t: +(+(y',z'),+(x',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(x',y'),z'),z) ->= +(+(+(x',y'),z'),z) *<- +(+(y',z'),+(x',z))
+(+(y',z'),+(x',z)) ->= +(+(y',z'),+(x',z)) *<- +(+(+(x',y'),z'),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.32: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),x),+(+(x,+(y',z')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N67
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),x)
Nodes: []
Edges: []

t: +(+(x,+(y',z')),x')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(x',y'),z'),x) ->= +(+(+(x',y'),z'),x) *<- +(+(x,+(y',z')),x')
+(+(x,+(y',z')),x') ->= +(+(x,+(y',z')),x') *<- +(+(+(x',y'),z'),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.33: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',y'),z'),+(+(x',z'),y')>   =>  Not trivial, Overlay, Proper, NW0, N68
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',y'),z')
Nodes: []
Edges: []

t: +(+(x',z'),y')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',y'),z') ->= +(+(x',y'),z') *<- +(+(x',z'),y')
+(+(x',z'),y') ->= +(+(x',z'),y') *<- +(+(x',y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.34: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(+(x',y'),z')),+(+(z',y'),+(x',z))>   =>  Not trivial, Not overlay, Proper, NW0, N69
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(+(x',y'),z'))
Nodes: []
Edges: []

t: +(+(z',y'),+(x',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(z,+(+(x',y'),z')) ->= +(z,+(+(x',y'),z')) *<- +(+(z',y'),+(x',z))
+(+(z',y'),+(x',z)) ->= +(+(z',y'),+(x',z)) *<- +(z,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.35: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(z,y),y'),z'),+(+(+(y',z'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N70
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(z,y),y'),z')
Nodes: []
Edges: []

t: +(+(+(y',z'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(z,y),y'),z') ->= +(+(+(z,y),y'),z') *<- +(+(+(y',z'),y),z)
+(+(+(y',z'),y),z) ->= +(+(+(y',z'),y),z) *<- +(+(+(z,y),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.36: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),z),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N72
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),z)
Nodes: []
Edges: []

t: +(+(y',x'),+(z',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),z) ->= +(+(x',+(y',z')),z) *<- +(+(y',x'),+(z',z))
+(+(y',x'),+(z',z)) ->= +(+(y',x'),+(z',z)) *<- +(+(x',+(y',z')),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.37: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',z')),+(y',+(x',z'))>   =>  Not trivial, Overlay, Proper, NW0, N74
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',z'))
Nodes: []
Edges: []

t: +(y',+(x',z'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',z')) ->= +(x',+(y',z')) *<- +(y',+(x',z'))
+(y',+(x',z')) ->= +(y',+(x',z')) *<- +(x',+(y',z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.38: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(y,z))),+(+(+(x',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N75
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(y,z)))
Nodes: []
Edges: []

t: +(+(+(x',y'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',+(y,z))) ->= +(x',+(y',+(y,z))) *<- +(+(+(x',y'),y),z)
+(+(+(x',y'),y),z) ->= +(+(+(x',y'),y),z) *<- +(x',+(y',+(y,z)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.39: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),x),+(+(x,+(z',y')),x')>   =>  Not trivial, Not overlay, Proper, NW0, N76
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),x)
Nodes: []
Edges: []

t: +(+(x,+(z',y')),x')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(x',y'),z'),x) ->= +(+(+(x',y'),z'),x) *<- +(+(x,+(z',y')),x')
+(+(x,+(z',y')),x') ->= +(+(x,+(z',y')),x') *<- +(+(+(x',y'),z'),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.40: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',y'),z'),+(z',+(y',x'))>   =>  Not trivial, Overlay, Proper, NW0, N78
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',y'),z')
Nodes: []
Edges: []

t: +(z',+(y',x'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',y'),z') ->= +(+(x',y'),z') *<- +(z',+(y',x'))
+(z',+(y',x')) ->= +(z',+(y',x')) *<- +(+(x',y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.41: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),x),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N79
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),x)
Nodes: []
Edges: []

t: +(+(x,+(y',x')),z')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),x) ->= +(+(x',+(y',z')),x) *<- +(+(x,+(y',x')),z')
+(+(x,+(y',x')),z') ->= +(+(x,+(y',x')),z') *<- +(+(x',+(y',z')),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.42: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(x',y'),z'),x),+(+(x,x'),+(y',z'))>   =>  Not trivial, Not overlay, Proper, NW0, N80
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(x',y'),z'),x)
Nodes: []
Edges: []

t: +(+(x,x'),+(y',z'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(x',y'),z'),x) ->= +(+(+(x',y'),z'),x) *<- +(+(x,x'),+(y',z'))
+(+(x,x'),+(y',z')) ->= +(+(x,x'),+(y',z')) *<- +(+(+(x',y'),z'),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.43: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),z),+(+(x',y'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N81
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),z)
Nodes: []
Edges: []

t: +(+(x',y'),+(z',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),z) ->= +(+(x',+(y',z')),z) *<- +(+(x',y'),+(z',z))
+(+(x',y'),+(z',z)) ->= +(+(x',y'),+(z',z)) *<- +(+(x',+(y',z')),z)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.44: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',y'),z'),+(y',+(z',x'))>   =>  Not trivial, Overlay, Proper, NW0, N82
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',y'),z')
Nodes: []
Edges: []

t: +(y',+(z',x'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',y'),z') ->= +(+(x',y'),z') *<- +(y',+(z',x'))
+(y',+(z',x')) ->= +(y',+(z',x')) *<- +(+(x',y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.45: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x',+(y',+(x,y))),+(x,+(y,+(y',x')))>   =>  Not trivial, Overlay, Proper, NW0, N83
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x',+(y',+(x,y)))
Nodes: []
Edges: []

t: +(x,+(y,+(y',x')))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x',+(y',+(x,y))) ->= +(x',+(y',+(x,y))) *<- +(x,+(y,+(y',x')))
+(x,+(y,+(y',x'))) ->= +(x,+(y,+(y',x'))) *<- +(x',+(y',+(x,y)))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.46: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),x),+(+(x,z'),+(x',y'))>   =>  Not trivial, Not overlay, Proper, NW0, N84
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),x)
Nodes: []
Edges: []

t: +(+(x,z'),+(x',y'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),x) ->= +(+(x',+(y',z')),x) *<- +(+(x,z'),+(x',y'))
+(+(x,z'),+(x',y')) ->= +(+(x,z'),+(x',y')) *<- +(+(x',+(y',z')),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.47: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(x',+(y',z'))),+(+(y',x'),+(z',z))>   =>  Not trivial, Not overlay, Proper, NW0, N85
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(x',+(y',z')))
Nodes: []
Edges: []

t: +(+(y',x'),+(z',z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(z,+(x',+(y',z'))) ->= +(z,+(x',+(y',z'))) *<- +(+(y',x'),+(z',z))
+(+(y',x'),+(z',z)) ->= +(+(y',x'),+(z',z)) *<- +(z,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.48: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),x),+(+(x,z'),+(y',x'))>   =>  Not trivial, Not overlay, Proper, NW0, N86
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),x)
Nodes: []
Edges: []

t: +(+(x,z'),+(y',x'))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),x) ->= +(+(x',+(y',z')),x) *<- +(+(x,z'),+(y',x'))
+(+(x,z'),+(y',x')) ->= +(+(x,z'),+(y',x')) *<- +(+(x',+(y',z')),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.49: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(x',+(y',z')),x),+(+(x,+(x',y')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N87
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(x',+(y',z')),x)
Nodes: []
Edges: []

t: +(+(x,+(x',y')),z')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(x',+(y',z')),x) ->= +(+(x',+(y',z')),x) *<- +(+(x,+(x',y')),z')
+(+(x,+(x',y')),z') ->= +(+(x,+(x',y')),z') *<- +(+(x',+(y',z')),x)
"Strongly closed critical pair"

The problem is confluent.

Problem 1.50: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(z,+(+(x',y'),z')),+(x',+(+(z',y'),z))>   =>  Not trivial, Not overlay, Proper, NW0, N88
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(z,+(+(x',y'),z'))
Nodes: []
Edges: []

t: +(x',+(+(z',y'),z))
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(z,+(+(x',y'),z')) ->= +(z,+(+(x',y'),z')) *<- +(x',+(+(z',y'),z))
+(x',+(+(z',y'),z)) ->= +(x',+(+(z',y'),z)) *<- +(z,+(+(x',y'),z'))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.51: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(y,z),y'),z'),+(+(+(z',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N89
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(y,z),y'),z')
Nodes: []
Edges: []

t: +(+(+(z',y'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(y,z),y'),z') ->= +(+(+(y,z),y'),z') *<- +(+(+(z',y'),y),z)
+(+(+(z',y'),y),z) ->= +(+(+(z',y'),y),z) *<- +(+(+(y,z),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.52: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(x,+(x',+(y',z'))),+(+(x,+(y',x')),z')>   =>  Not trivial, Not overlay, Proper, NW0, N90
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(x,+(x',+(y',z')))
Nodes: []
Edges: []

t: +(+(x,+(y',x')),z')
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(x,+(x',+(y',z'))) ->= +(x,+(x',+(y',z'))) *<- +(+(x,+(y',x')),z')
+(+(x,+(y',x')),z') ->= +(+(x,+(y',x')),z') *<- +(x,+(x',+(y',z')))
"Strongly closed critical pair"

The problem is confluent.

Problem 1.53: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(y,z),y'),z'),+(+(+(y',z'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N91
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(y,z),y'),z')
Nodes: []
Edges: []

t: +(+(+(y',z'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(y,z),y'),z') ->= +(+(+(y,z),y'),z') *<- +(+(+(y',z'),y),z)
+(+(+(y',z'),y),z) ->= +(+(+(y',z'),y),z) *<- +(+(+(y,z),y'),z')
"Strongly closed critical pair"

The problem is confluent.

Problem 1.54: 
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
Confluence Problem:
(VAR x y z x' y' z')
(REPLACEMENT-MAP
(+ 1, 2)
(fSNonEmpty)
)
(RULES
+(+(x,y),z) -> +(x,+(y,z))
+(+(y,x),z) -> +(x,+(y,z))
+(+(y,z),x) -> +(+(x,y),z)
+(+(z,y),x) -> +(+(x,y),z)
+(x,+(y,z)) -> +(+(x,y),z)
+(x,+(z,y)) -> +(+(x,y),z)
+(z,+(x,y)) -> +(x,+(y,z))
+(z,+(y,x)) -> +(x,+(y,z))
)
Critical Pairs:
<+(+(+(z,y),y'),z'),+(+(+(z',y'),y),z)>   =>  Not trivial, Overlay, Proper, NW0, N92
Linear:YES
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::

Strong Confluence Procedure:
-> Rewritings:
s: +(+(+(z,y),y'),z')
Nodes: []
Edges: []

t: +(+(+(z',y'),y),z)
Nodes: []
Edges: []

SNodesPath1: 
TNodesPath1: 
SNodesPath2: 
TNodesPath2: 
+(+(+(z,y),y'),z') ->= +(+(+(z,y),y'),z') *<- +(+(+(z',y'),y),z)
+(+(+(z',y'),y),z) ->= +(+(+(z',y'),y),z) *<- +(+(+(z,y),y'),z')
"Strongly closed critical pair"

The problem is confluent.