/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: b(b(b(x1))) -> c(a(c(x1))) 2: a(a(c(x1))) -> a(b(a(x1))) 3: a(a(c(x1))) -> c(b(c(x1))) 4: c(b(b(x1))) ->= b(b(c(x1))) 5: c(c(c(x1))) ->= b(b(c(x1))) 6: a(a(a(x1))) ->= a(b(c(x1))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(c(x1))) -> #a(b(a(x1))) #2: #a(a(c(x1))) -> #b(a(x1)) #3: #a(a(c(x1))) -> #a(x1) #4: #a(a(a(x1))) ->? #a(b(c(x1))) #5: #a(a(a(x1))) ->? #b(c(x1)) #6: #a(a(a(x1))) ->? #c(x1) #7: #c(c(c(x1))) ->? #b(b(c(x1))) #8: #c(c(c(x1))) ->? #b(c(x1)) #9: #a(a(c(x1))) -> #c(b(c(x1))) #10: #a(a(c(x1))) -> #b(c(x1)) #11: #b(b(b(x1))) -> #c(a(c(x1))) #12: #b(b(b(x1))) -> #a(c(x1)) #13: #b(b(b(x1))) -> #c(x1) #14: #c(b(b(x1))) ->? #b(b(c(x1))) #15: #c(b(b(x1))) ->? #b(c(x1)) #16: #c(b(b(x1))) ->? #c(x1) Number of SCCs: 2, DPs: 7 SCC { #3 } POLO(Sum)... succeeded. a w: x1 b w: 0 c w: x1 + 1 #c w: 0 #a w: x1 #b w: 0 USABLE RULES: { } Removed DPs: #3 Number of SCCs: 1, DPs: 6 SCC { #7 #8 #13..16 } POLO(Sum)... succeeded. a w: 1 b w: x1 + 1 c w: x1 + 1 #c w: x1 + 1 #a w: 0 #b w: x1 USABLE RULES: { 1 4 5 } Removed DPs: #7 #8 #13..16 Number of SCCs: 0, DPs: 0