/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(b(x1)) -> b(b(a(x1))) 2: b(c(x1)) -> c(b(b(x1))) 3: c(a(x1)) -> a(c(c(x1))) Number of strict rules: 3 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #b(c(x1)) -> #c(b(b(x1))) #2: #b(c(x1)) -> #b(b(x1)) #3: #b(c(x1)) -> #b(x1) #4: #c(a(x1)) -> #a(c(c(x1))) #5: #c(a(x1)) -> #c(c(x1)) #6: #c(a(x1)) -> #c(x1) #7: #a(b(x1)) -> #b(b(a(x1))) #8: #a(b(x1)) -> #b(a(x1)) #9: #a(b(x1)) -> #a(x1) Number of SCCs: 1, DPs: 9 SCC { #1..9 } Sum... succeeded. a(x1) w: (7720) b(x1) w: (x1) c(x1) w: (7723 + x1) #c(x1) w: (7722) #a(x1) w: (7721) #b(x1) w: (x1) USABLE RULES: { 1..3 } Removed DPs: #1..4 #7 #8 Number of SCCs: 2, DPs: 3 SCC { #9 } Sum... Max... succeeded. a(x1) w: (0) b(x1) w: (1 + x1) c(x1) w: (0) #c(x1) w: (0) #a(x1) w: (x1) #b(x1) w: (0) USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 2 SCC { #5 #6 } Sum... succeeded. a(x1) w: (1 + x1) b(x1) w: (8366) c(x1) w: (x1) #c(x1) w: (7722 + x1) #a(x1) w: (7721) #b(x1) w: (x1) USABLE RULES: { 1..3 } Removed DPs: #5 #6 Number of SCCs: 0, DPs: 0