MAYBE Input TRS: 1: c(a(a(b(c(a(x1)))))) -> a(a(b(c(c(a(a(b(c(x1))))))))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying c 1: c^1_a(a(b(c^1_a(x1)))) -> a(a(b(c(c^1_a(a(b(c(x1)))))))) 2: c(a(_1)) ->= c^1_a(_1) Number of strict rules: 1 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #c(a(_1)) ->? #c^1_a(_1) #2: #c^1_a(a(b(c^1_a(x1)))) -> #c(c^1_a(a(b(c(x1))))) #3: #c^1_a(a(b(c^1_a(x1)))) -> #c^1_a(a(b(c(x1)))) #4: #c^1_a(a(b(c^1_a(x1)))) -> #c(x1) Number of SCCs: 1, DPs: 4 SCC { #1..4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 + 30950, 0) b w: max(x1 - 64749, 0) c^1_a w: max(x1 + 30950, 0) c w: max(x1 + 1425, 0) #c^1_a w: max(x1 + 33800, 0) #c w: max(x1 + 2850, 0) USABLE RULES: { 1 2 } Removed DPs: #4 Number of SCCs: 1, DPs: 3 SCC { #1..3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: x1 + [1;11984] b w: [0,0;1,0] * x1 + [0;11344] c^1_a w: [1,0;1,1] * x1 + [1;11984] c w: [1,0;1,1] * x1 + [0;1] #c^1_a w: [0,1;0,0] * x1 + [11984;0] #c w: [0,1;0,0] * x1 USABLE RULES: { 1 2 } Removed DPs: #3 Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.