YES
(ignored inputs)COMMENT from the collection of \cite{AT2012}
Rewrite Rules:
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x),
     *(+(?x,?y),?z) -> +(*(?x,?z),*(?y,?z)) ]
Apply Direct Methods...
Inner CPs:
   [ +(+(?y_1,?x_1),?z) = +(?x_1,+(?y_1,?z)),
     *(+(?x,+(?y,?z)),?z_2) = +(*(+(?x,?y),?z_2),*(?z,?z_2)),
     *(+(?y_1,?x_1),?z_2) = +(*(?x_1,?z_2),*(?y_1,?z_2)),
     +(+(?x,+(?y,?z)),?z_1) = +(+(?x,?y),+(?z,?z_1)) ]
Outer CPs:
   [ +(?x,+(?y,?z)) = +(?z,+(?x,?y)) ]
not Overlay, check Termination...
unknown/not Terminating
unknown Knuth & Bendix
Left-Linear, not Right-Linear
unknown Development Closed
unknown Weakly-Non-Overlapping & Non-Collapsing & Shallow
unknown Upside-Parallel-Closed/Outside-Closed
(inner) Parallel CPs: (not computed)
unknown Toyama (Parallel CPs)
Simultaneous CPs:
   [ +(?z,+(?x_1,+(?y_1,?y))) = +(+(?x_1,?y_1),+(?y,?z)),
     +(?z,+(?y,?x)) = +(?x,+(?y,?z)),
     +(?z,+(?x,?y)) = +(?x,+(?y,?z)),
     +(+(?x_1,+(?y_1,?y)),?z) = +(+(?x_1,?y_1),+(?y,?z)),
     +(+(?y,?x),?z) = +(?x,+(?y,?z)),
     +(+(?x_2,+(?y_2,?y)),+(?z,?z_1)) = +(+(+(?x_2,?y_2),+(?y,?z)),?z_1),
     +(+(?y,?x),+(?z,?z_1)) = +(+(?x,+(?y,?z)),?z_1),
     +(*(+(?x_4,+(?y_4,?y)),?z_3),*(?z,?z_3)) = *(+(+(?x_4,?y_4),+(?y,?z)),?z_3),
     +(*(+(?y,?x),?z_3),*(?z,?z_3)) = *(+(?x,+(?y,?z)),?z_3),
     +(+(?x,?y),+(?z,?z_1)) = +(+(?x,+(?y,?z)),?z_1),
     +(*(+(?x,?y),?z_3),*(?z,?z_3)) = *(+(?x,+(?y,?z)),?z_3),
     +(?x_1,+(?y_1,?y)) = +(?y,+(?x_1,?y_1)),
     +(?x,+(?y,?z_2)) = +(+(?y,?x),?z_2),
     +(*(?x,?z_3),*(?y,?z_3)) = *(+(?y,?x),?z_3),
     *(+(?x_2,+(?y_2,?y)),?z) = +(*(+(?x_2,?y_2),?z),*(?y,?z)),
     *(+(?y,?x),?z) = +(*(?x,?z),*(?y,?z)) ]
unknown Okui (Simultaneous CPs)
unknown Strongly Depth-Preserving & Root-E-Closed/Non-E-Overlapping
unknown Strongly Weight-Preserving & Root-E-Closed/Non-E-Overlapping
check Locally Decreasing Diagrams by Rule Labelling...
Critical Pair <+(+(?y_1,?x_1),?z), +(?x_1,+(?y_1,?z))> by Rules <1, 0> preceded by [(+,1)]
 joinable by a reduction of rules <[([(+,1)],1),([],0)], []>
 joinable by a reduction of rules <[([],0),([(+,2)],1)], [([],1),([],0)]>
Critical Pair <*(+(?x,+(?y,?z)),?z_2), +(*(+(?x,?y),?z_2),*(?z,?z_2))> by Rules <0, 2> preceded by [(*,1)]
 joinable by a reduction of rules <[([],2),([(+,2)],2)], [([(+,1)],2),([],0)]>
Critical Pair <*(+(?y_1,?x_1),?z_2), +(*(?x_1,?z_2),*(?y_1,?z_2))> by Rules <1, 2> preceded by [(*,1)]
 joinable by a reduction of rules <[([],2)], [([],1)]>
Critical Pair <+(+(?x,+(?y,?z)),?z_1), +(+(?x,?y),+(?z,?z_1))> by Rules <0, 0> preceded by [(+,1)]
 joinable by a reduction of rules <[([],0),([(+,2)],0)], [([],0)]>
Critical Pair <+(?y_1,+(?x,?y)), +(?x,+(?y,?y_1))> by Rules <1, 0> preceded by []
 joinable by a reduction of rules <[([],1),([],0)], []>
unknown Diagram Decreasing
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x_1,?y_1) -> +(?y_1,?x_1),
     *(+(?x_2,?y_2),?z_2) -> +(*(?x_2,?z_2),*(?y_2,?z_2)) ]
Sort Assignment:
 * : 15*10=>15
 + : 15*15=>15
non-linear variables: {?z_2}
non-linear types: {10}
types leq non-linear types: {10}
rules applicable to terms of non-linear types:
   [ ]
NLR:
0: {}
1: {}
2: {}
terms of non-linear types are innermost terminating
Critical Pair <+(+(?y_1,?x_1),?z), +(?x_1,+(?y_1,?z))> by Rules <1, 0>
 joinable by a reduction of rules [->(1),->(0)]
 joinable by a reduction of rules [->(0),->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [->(0),->(1),(0)<-,->(1)]
 joinable by a reduction of rules [->(0),(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [->(0),(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(1)]
Critical Pair <*(+(?x,+(?y,?z)),?z_2), +(*(+(?x,?y),?z_2),*(?z,?z_2))> by Rules <0, 2>
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [->(2),->(2),(0)<-,(2)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(2),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(2),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(1),->(2)]
Critical Pair <*(+(?y_1,?x_1),?z_2), +(*(?x_1,?z_2),*(?y_1,?z_2))> by Rules <1, 2>
 joinable by a reduction of rules [->(1),->(2)]
 joinable by a reduction of rules [->(2),->(1)]
 joinable by a reduction of rules [->(2),(1)<-]
Critical Pair <+(+(?x,+(?y,?z)),?z_1), +(+(?x,?y),+(?z,?z_1))> by Rules <0, 0>
 joinable by a reduction of rules [->(0),->(0),(0)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(0),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(0),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(0),->(1)]
Critical Pair <+(?y_1,+(?x,?y)), +(?x,+(?y,?y_1))> by Rules <1, 0>
 joinable by a reduction of rules [->(1),->(0)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(1)]
Not Satisfiable
unknown Quasi-Linear & Linearized-Decreasing
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x_1,?y_1) -> +(?y_1,?x_1),
     *(+(?x_2,?y_2),?z_2) -> +(*(?x_2,?z_2),*(?y_2,?z_2)) ]
Sort Assignment:
 * : 15*10=>15
 + : 15*15=>15
non-linear variables: {?z_2}
non-linear types: {10}
types leq non-linear types: {10}
rules applicable to terms of non-linear types:
   [ ]
terms of non-linear types are terminating
Critical Pair <+(+(?y_1,?x_1),?z), +(?x_1,+(?y_1,?z))> by Rules <1, 0>
 joinable by a reduction of rules [->(1),->(0)]
 joinable by a reduction of rules [->(0),->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [->(0),->(1),(0)<-,->(1)]
 joinable by a reduction of rules [->(0),(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [->(0),(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(1)]
Critical Pair <*(+(?x,+(?y,?z)),?z_2), +(*(+(?x,?y),?z_2),*(?z,?z_2))> by Rules <0, 2>
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [->(2),->(2),(0)<-,(2)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(2),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(2),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,(0)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,(0)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(2),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(2),->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(2),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),(1)<-,->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(1),->(2)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(1),->(2)]
Critical Pair <*(+(?y_1,?x_1),?z_2), +(*(?x_1,?z_2),*(?y_1,?z_2))> by Rules <1, 2>
 joinable by a reduction of rules [->(1),->(2)]
 joinable by a reduction of rules [->(2),->(1)]
 joinable by a reduction of rules [->(2),(1)<-]
Critical Pair <+(+(?x,+(?y,?z)),?z_1), +(+(?x,?y),+(?z,?z_1))> by Rules <0, 0>
 joinable by a reduction of rules [->(0),->(0),(0)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),->(1),->(0),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(0),(1)<-,->(0),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [->(1),->(1),->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [->(1),->(1),->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [->(1),(1)<-,->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,->(1),->(0),(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),->(0),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),->(1),->(0),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(0),(1)<-,->(0),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,->(1),->(0),->(1),->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(0),(1)<-]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),(1)<-,->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(1),->(0)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),(1)<-,->(0),->(1)]
 joinable by a reduction of rules [(1)<-,(1)<-,->(0),->(1),->(0),->(1)]
Critical Pair <+(?y_1,+(?x,?y)), +(?x,+(?y,?y_1))> by Rules <1, 0>
 joinable by a reduction of rules [->(1),->(0)]
 joinable by a reduction of rules [->(1),(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,->(1),->(1)]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [->(1),(0)<-,(1)<-,->(1)]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,->(1),(0)<-,->(1)]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,(1)<-]
 joinable by a reduction of rules [(0)<-,(1)<-,(0)<-,->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,->(1),->(1)]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,(1)<-]
 joinable by a reduction of rules [(1)<-,(0)<-,(1)<-,->(1)]
Not Satisfiable
unknown Strongly Quasi-Linear & Hierarchically Decreasing
check Non-Confluence...
obtain 13 rules by 3 steps unfolding
strenghten +(?x_4,?y_4) and +(?y_4,?x_4)
strenghten +(?x,+(?y,?x_5)) and +(?x_5,+(?x,?y))
strenghten +(?x,+(?y,?x_6)) and +(+(?x,?y),?x_6)
strenghten +(?x_1,+(?x_11,?y_1)) and +(?x_11,+(?y_1,?x_1))
strenghten +(?x_1,+(?y_1,?x_13)) and +(?x_13,+(?y_1,?x_1))
strenghten +(?x_1,+(?y_1,?z)) and +(+(?y_1,?x_1),?z)
strenghten +(?x_3,+(?x_11,?y_3)) and +(?x_11,+(?x_3,?y_3))
strenghten +(?x_7,+(?x_1,?y_1)) and +(?x_7,+(?y_1,?x_1))
strenghten +(+(?x_8,?y_8),?x_7) and +(?x_7,+(?x_8,?y_8))
strenghten +(+(?x_10,?y_10),?x_9) and +(?x_9,+(?y_10,?x_10))
strenghten +(+(?x_12,?y_12),?x_11) and +(?x_12,+(?x_11,?y_12))
strenghten +(+(?x_14,?y_14),?x_13) and +(?x_14,+(?y_14,?x_13))
strenghten +(+(?x_16,?y_16),?x_15) and +(?y_16,+(?x_15,?x_16))
strenghten +(+(?x_18,?y_18),?x_17) and +(?y_18,+(?x_18,?x_17))
strenghten +(*(?x_1,?z_2),*(?y_1,?z_2)) and *(+(?y_1,?x_1),?z_2)
strenghten +(*(?x_3,?z_2),*(?y_3,?z_2)) and *(+(?x_3,?y_3),?z_2)
strenghten +(?x,+(?x_2,+(?x_1,?y_1))) and +(?x_2,+(?x_1,+(?x,?y_1)))
strenghten +(?x,+(?y,+(?x_8,?y_8))) and +(+(?x,?y),+(?x_8,?y_8))
strenghten +(?x,+(?y,+(?x_10,?y_10))) and +(+(?x,?y),+(?y_10,?x_10))
strenghten +(?x,+(?y,+(?x_12,?y_12))) and +(?x_12,+(+(?x,?y),?y_12))
obtain 100 candidates for checking non-joinability
check by TCAP-Approximation (failure)
check by Root-Approximation (failure)
check by Ordering(rpo), check by Tree-Automata Approximation (failure)
check by Interpretation(mod2) (failure)
check by Descendants-Approximation, check by Ordering(poly) (failure)
unknown Non-Confluence
Check relative termination:
   [ *(+(?x,?y),?z) -> +(*(?x,?z),*(?y,?z)) ]
   [ +(+(?x,?y),?z) -> +(?x,+(?y,?z)),
     +(?x,?y) -> +(?y,?x) ]
Polynomial Interpretation:
  *:= (1)*x1+(2)*x1*x1+(2)*x1*x2+(1)*x2
  +:= (2)+(1)*x1+(1)*x2
relatively terminating
Huet (modulo AC)
Direct Methods: CR

Final result: CR
184.trs: Success(CR)
(6813 msec.)