Input TRS: 1: a(a(y,0()),0()) -> y 2: c(c(y)) -> y 3: c(a(c(c(y)),x)) -> a(c(c(c(a(x,0())))),y) Number of strict rules: 3 Direct Order(PosReal,>,Poly) ... removes: 2 a(x1,x2) weight: x1 + x2 c(x1) weight: (/ 1 16) + x1 0() weight: 0 Number of strict rules: 2 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #c(a(c(c(y)),x)) -> #a(c(c(c(a(x,0())))),y) #2: #c(a(c(c(y)),x)) -> #c(c(c(a(x,0())))) #3: #c(a(c(c(y)),x)) -> #c(c(a(x,0()))) #4: #c(a(c(c(y)),x)) -> #c(a(x,0())) #5: #c(a(c(c(y)),x)) -> #a(x,0()) Number of SCCs: 1, DPs: 3, edges: 9 SCC { #2..4 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a(x1,x2) weight: x1 + x2 c(x1) weight: (/ 1 4) + x1 0() weight: 0 #c(x1) weight: x1 #a(x1,x2) weight: 0 Usable rules: { 1 3 } Removed DPs: #3 #4 Number of SCCs: 1, DPs: 1, edges: 1 SCC { #2 } Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed. Removing edges: failed. Finding a loop... failed. MAYBE