MAYBE Input TRS: 1: b(a(b(a(b(b(a(b(a(b(a(x1))))))))))) -> a(b(a(b(a(b(b(a(b(a(b(b(a(x1))))))))))))) Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying b 1: b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> a(b^1_a(b^1_a(b(b^1_a(b^1_a(b(b^1_a(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(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b^1_a(b^1_a(b(b^1_a(b^1_a(b(b^1_a(x1))))))) #3: #b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b^1_a(b(b^1_a(b^1_a(b(b^1_a(x1)))))) #4: #b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b(b^1_a(b^1_a(b(b^1_a(x1))))) #5: #b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b^1_a(b^1_a(b(b^1_a(x1)))) #6: #b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b^1_a(b(b^1_a(x1))) #7: #b^1_a(b^1_a(b(b^1_a(b^1_a(b^1_a(x1)))))) -> #b(b^1_a(x1)) Number of SCCs: 1, DPs: 7 SCC { #1..7 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,1;0,0] * x1 b w: [0,0;1,0] * x1 + [30850;1] b^1_a w: [0,0;1,0] * x1 #b w: [1,0;0,0] * x1 + [30849;0] #b^1_a w: [0,1;0,0] * x1 USABLE RULES: { 1 2 } Removed DPs: #1 #3 #4 #6 #7 Number of SCCs: 1, DPs: 2 SCC { #2 #5 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.