/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(a(b(x1))) -> a(c(b(x1))) 2: c(c(c(x1))) -> a(b(a(x1))) 3: b(c(b(x1))) -> b(a(c(x1))) 4: b(b(c(x1))) ->= c(a(b(x1))) 5: b(b(b(x1))) ->= a(b(b(x1))) 6: b(b(c(x1))) ->= b(c(c(x1))) 7: b(a(a(x1))) ->= a(c(c(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #c(c(c(x1))) -> #a(b(a(x1))) #2: #c(c(c(x1))) -> #b(a(x1)) #3: #c(c(c(x1))) -> #a(x1) #4: #b(b(c(x1))) ->? #b(c(c(x1))) #5: #b(b(c(x1))) ->? #c(c(x1)) #6: #b(a(a(x1))) ->? #a(c(c(x1))) #7: #b(a(a(x1))) ->? #c(c(x1)) #8: #b(a(a(x1))) ->? #c(x1) #9: #b(b(b(x1))) ->? #a(b(b(x1))) #10: #b(c(b(x1))) -> #b(a(c(x1))) #11: #b(c(b(x1))) -> #a(c(x1)) #12: #b(c(b(x1))) -> #c(x1) #13: #a(a(b(x1))) -> #a(c(b(x1))) #14: #a(a(b(x1))) -> #c(b(x1)) #15: #b(b(c(x1))) ->? #c(a(b(x1))) #16: #b(b(c(x1))) ->? #a(b(x1)) #17: #b(b(c(x1))) ->? #b(x1) Number of SCCs: 2, DPs: 4 SCC { #17 } POLO(Sum)... succeeded. a w: 0 b w: x1 c w: x1 + 1 #c w: 0 #a w: 0 #b w: x1 USABLE RULES: { } Removed DPs: #17 Number of SCCs: 1, DPs: 3 SCC { #2 #7 #8 } POLO(Sum)... succeeded. a w: x1 + 1 b w: x1 + 1 c w: x1 + 1 #c w: x1 #a w: 0 #b w: x1 USABLE RULES: { 1..7 } Removed DPs: #2 #7 #8 Number of SCCs: 0, DPs: 0