YES Input TRS: 1: a(x,y) -> b(x,b(0(),c(y))) 2: c(b(y,c(x))) -> c(c(b(a(0(),0()),y))) 3: b(y,0()) -> y Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #c(b(y,c(x))) -> #c(c(b(a(0(),0()),y))) #2: #c(b(y,c(x))) -> #c(b(a(0(),0()),y)) #3: #c(b(y,c(x))) -> #b(a(0(),0()),y) #4: #c(b(y,c(x))) -> #a(0(),0()) #5: #a(x,y) -> #b(x,b(0(),c(y))) #6: #a(x,y) -> #b(0(),c(y)) #7: #a(x,y) -> #c(y) Number of SCCs: 1, DPs: 3 SCC { #2 #4 #7 } POLO(Sum)... succeeded. a w: x1 + 11799 b w: x1 + x2 c w: 11799 0 w: 0 #c w: x1 #a w: x2 + 1 #b w: 0 USABLE RULES: { 1..3 } Removed DPs: #4 #7 Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,1;1,1] * x1 + [1,0;1,0] * x2 + [39827;43114] b w: x1 + [0,0;1,0] * x2 + [23493;19620] c w: [82948;1] 0 w: [1;1] #c w: [1,1;0,0] * x1 #a w: [0;0] #b w: [0;0] USABLE RULES: { 1..3 } Removed DPs: #2 Number of SCCs: 0, DPs: 0