/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a(a(a(a(x1)))) -> a(a(b(b(x1)))) 2: a(b(b(b(x1)))) -> b(b(a(a(x1)))) 3: b(a(a(a(x1)))) -> b(a(b(a(x1)))) Number of strict rules: 3 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #a(b(b(b(x1)))) -> #b(b(a(a(x1)))) #2: #a(b(b(b(x1)))) -> #b(a(a(x1))) #3: #a(b(b(b(x1)))) -> #a(a(x1)) #4: #a(b(b(b(x1)))) -> #a(x1) #5: #b(a(a(a(x1)))) -> #b(a(b(a(x1)))) #6: #b(a(a(a(x1)))) -> #a(b(a(x1))) #7: #b(a(a(a(x1)))) -> #b(a(x1)) #8: #a(a(a(a(x1)))) -> #a(a(b(b(x1)))) #9: #a(a(a(a(x1)))) -> #a(b(b(x1))) #10: #a(a(a(a(x1)))) -> #b(b(x1)) #11: #a(a(a(a(x1)))) -> #b(x1) Number of SCCs: 1, DPs: 8 SCC { #2..4 #6..9 #11 } Sum... succeeded. a(x1) w: (39 + x1) b(x1) w: (39 + x1) #a(x1) w: (x1) #b(x1) w: (x1) USABLE RULES: { 1..3 } Removed DPs: #2..4 #6 #7 #9 #11 Number of SCCs: 0, DPs: 0