/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a(b(c(a(x1)))) -> b(a(c(b(a(b(x1)))))) 2: a(d(x1)) -> c(x1) 3: a(f(f(x1))) -> g(x1) 4: b(g(x1)) -> g(b(x1)) 5: c(x1) -> f(f(x1)) 6: c(a(c(x1))) -> b(c(a(b(c(x1))))) 7: c(d(x1)) -> a(a(x1)) 8: g(x1) -> c(a(x1)) 9: g(x1) -> d(d(d(d(x1)))) Number of strict rules: 9 Direct POLO(bPol) ... removes: 7 9 2 a w: x1 + 13 d w: x1 + 8 b w: x1 c w: x1 + 20 f w: x1 + 10 g w: x1 + 33 Number of strict rules: 6 Direct POLO(bPol) ... removes: 8 3 5 a w: 2 * x1 + 7 d w: x1 + 6 b w: x1 c w: x1 + 15 f w: x1 + 7 g w: 2 * x1 + 24 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #c(a(c(x1))) -> #b(c(a(b(c(x1))))) #2: #c(a(c(x1))) -> #c(a(b(c(x1)))) #3: #c(a(c(x1))) -> #a(b(c(x1))) #4: #c(a(c(x1))) -> #b(c(x1)) #5: #a(b(c(a(x1)))) -> #b(a(c(b(a(b(x1)))))) #6: #a(b(c(a(x1)))) -> #a(c(b(a(b(x1))))) #7: #a(b(c(a(x1)))) -> #c(b(a(b(x1)))) #8: #a(b(c(a(x1)))) -> #b(a(b(x1))) #9: #a(b(c(a(x1)))) -> #a(b(x1)) #10: #a(b(c(a(x1)))) -> #b(x1) #11: #b(g(x1)) -> #b(x1) Number of SCCs: 2, DPs: 2 SCC { #11 } POLO(Sum)... succeeded. a w: 0 d w: 0 b w: 0 c w: 0 f w: 0 #c w: 0 #a w: 0 g w: x1 + 1 #b w: x1 USABLE RULES: { } Removed DPs: #11 Number of SCCs: 1, DPs: 1 SCC { #9 } POLO(Sum)... succeeded. a w: x1 + 1 d w: 0 b w: x1 + 1 c w: x1 f w: 0 #c w: 0 #a w: x1 g w: 1 #b w: 0 USABLE RULES: { 4 } Removed DPs: #9 Number of SCCs: 0, DPs: 0