MAYBE Input TRS: 1: b(a(b(a(c(b(a(x1))))))) -> a(b(a(c(b(b(a(b(a(c(x1)))))))))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying b 1: b^1_a(b^1_a(c(b^1_a(x1)))) -> a(b^1_a(c(b(b^1_a(b^1_a(c(x1))))))) 2: b(a(_1)) ->= b^1_a(_1) Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #b(a(_1)) ->? #b^1_a(_1) #2: #b^1_a(b^1_a(c(b^1_a(x1)))) -> #b^1_a(c(b(b^1_a(b^1_a(c(x1)))))) #3: #b^1_a(b^1_a(c(b^1_a(x1)))) -> #b(b^1_a(b^1_a(c(x1)))) #4: #b^1_a(b^1_a(c(b^1_a(x1)))) -> #b^1_a(b^1_a(c(x1))) #5: #b^1_a(b^1_a(c(b^1_a(x1)))) -> #b^1_a(c(x1)) Number of SCCs: 1, DPs: 3 SCC { #1 #3 #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: x1 + [1;34361] b w: x1 + [0;1] c w: [0,0;1,0] * x1 + [0;11020] b^1_a w: x1 + [1;34362] #b w: [0,1;1,0] * x1 #b^1_a w: [0,1;1,0] * x1 + [34361;1] USABLE RULES: { 1 2 } Removed DPs: #4 Number of SCCs: 1, DPs: 2 SCC { #1 #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.