/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))) -> b(a(b(c(a(x1))))) 2: b(a(x1)) -> a(b(b(x1))) 3: b(c(a(x1))) -> c(a(b(x1))) Number of strict rules: 3 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #b(a(x1)) -> #a(b(b(x1))) #2: #b(a(x1)) -> #b(b(x1)) #3: #b(a(x1)) -> #b(x1) #4: #b(c(a(x1))) -> #a(b(x1)) #5: #b(c(a(x1))) -> #b(x1) #6: #a(a(b(x1))) -> #b(a(b(c(a(x1))))) #7: #a(a(b(x1))) -> #a(b(c(a(x1)))) #8: #a(a(b(x1))) -> #b(c(a(x1))) #9: #a(a(b(x1))) -> #a(x1) Number of SCCs: 1, DPs: 8 SCC { #1..6 #8 #9 } Sum... succeeded. a(x1) w: (8856 + x1) b(x1) w: (x1) c(x1) w: (x1) #a(x1) w: (11293 + x1) #b(x1) w: (2437 + x1) USABLE RULES: { 1..3 } Removed DPs: #2 #3 #5 #8 #9 Number of SCCs: 1, DPs: 2 SCC { #1 #6 } Sum... succeeded. a(x1) w: (30615 + x1) b(x1) w: (x1) c(x1) w: (1) #a(x1) w: (11293 + x1) #b(x1) w: (11291 + x1) USABLE RULES: { 1..3 } Removed DPs: #1 #6 Number of SCCs: 0, DPs: 0