Input TRS:
    1: *(x,*(y,z)) -> *(otimes(x,y),z)
    2: *(1(),y) -> y
    3: *(+(x,y),z) -> oplus(*(x,z),*(y,z))
    4: *(x,oplus(y,z)) -> oplus(*(x,y),*(x,z))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #*(+(x,y),z) -> #*(x,z)
   #2: #*(+(x,y),z) -> #*(y,z)
   #3: #*(x,*(y,z)) -> #*(otimes(x,y),z)
   #4: #*(x,oplus(y,z)) -> #*(x,y)
   #5: #*(x,oplus(y,z)) -> #*(x,z)
Number of SCCs: 1, DPs: 5, edges: 23
	SCC { #1..5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 oplus(x1,x2)	weight: (/ 1 2) + x1 + x2
     1()	weight: 0
   #*(x1,x2)	weight: x2
otimes(x1,x2)	weight: (/ 1 2)
     +(x1,x2)	weight: (/ 1 2)
     *(x1,x2)	weight: x2
    Usable rules: { }
    Removed DPs: #4 #5
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #3 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 oplus(x1,x2)	weight: (/ 1 2)
     1()	weight: 0
   #*(x1,x2)	weight: x2
otimes(x1,x2)	weight: (/ 1 2)
     +(x1,x2)	weight: (/ 1 2)
     *(x1,x2)	weight: (/ 1 2) + x2
    Usable rules: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 oplus(x1,x2)	weight: (/ 1 2)
     1()	weight: 0
   #*(x1,x2)	weight: x1
otimes(x1,x2)	weight: (/ 1 2)
     +(x1,x2)	weight: (/ 1 2) + x1 + x2
     *(x1,x2)	weight: (/ 1 2)
    Usable rules: { }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0, edges: 0
YES