/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: c(a(b(x1))) -> c(a(c(x1))) 2: a(a(a(x1))) -> c(a(a(x1))) 3: a(b(a(x1))) -> c(a(c(x1))) 4: a(b(b(x1))) -> a(c(b(x1))) 5: a(b(b(x1))) ->= a(a(c(x1))) 6: b(c(c(x1))) ->= b(a(b(x1))) Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(a(x1))) -> #c(a(a(x1))) #2: #b(c(c(x1))) ->? #b(a(b(x1))) #3: #b(c(c(x1))) ->? #a(b(x1)) #4: #b(c(c(x1))) ->? #b(x1) #5: #a(b(b(x1))) ->? #a(a(c(x1))) #6: #a(b(b(x1))) ->? #a(c(x1)) #7: #a(b(b(x1))) ->? #c(x1) #8: #a(b(a(x1))) -> #c(a(c(x1))) #9: #a(b(a(x1))) -> #a(c(x1)) #10: #a(b(a(x1))) -> #c(x1) #11: #c(a(b(x1))) -> #c(a(c(x1))) #12: #c(a(b(x1))) -> #a(c(x1)) #13: #c(a(b(x1))) -> #c(x1) #14: #a(b(b(x1))) -> #a(c(b(x1))) #15: #a(b(b(x1))) -> #c(b(x1)) Number of SCCs: 2, DPs: 2 SCC { #4 } POLO(Sum)... succeeded. a w: 0 b w: 0 c w: x1 + 1 #c w: 0 #a w: 0 #b w: x1 USABLE RULES: { } Removed DPs: #4 Number of SCCs: 1, DPs: 1 SCC { #13 } POLO(Sum)... succeeded. a w: x1 b w: x1 + 1 c w: 1 #c w: x1 #a w: 0 #b w: 0 USABLE RULES: { } Removed DPs: #13 Number of SCCs: 0, DPs: 0