/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(b(a(a(x1)))) -> a(a(b(c(x1)))) 2: b(a(a(a(x1)))) -> a(a(a(b(x1)))) 3: a(b(c(x1))) -> c(b(a(x1))) 4: c(c(b(b(x1)))) -> b(b(c(c(x1)))) Number of strict rules: 4 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #b(a(a(a(x1)))) -> #a(a(a(b(x1)))) #2: #b(a(a(a(x1)))) -> #a(a(b(x1))) #3: #b(a(a(a(x1)))) -> #a(b(x1)) #4: #b(a(a(a(x1)))) -> #b(x1) #5: #a(b(c(x1))) -> #c(b(a(x1))) #6: #a(b(c(x1))) -> #b(a(x1)) #7: #a(b(c(x1))) -> #a(x1) #8: #c(b(a(a(x1)))) -> #a(a(b(c(x1)))) #9: #c(b(a(a(x1)))) -> #a(b(c(x1))) #10: #c(b(a(a(x1)))) -> #b(c(x1)) #11: #c(b(a(a(x1)))) -> #c(x1) #12: #c(c(b(b(x1)))) -> #b(b(c(c(x1)))) #13: #c(c(b(b(x1)))) -> #b(c(c(x1))) #14: #c(c(b(b(x1)))) -> #c(c(x1)) #15: #c(c(b(b(x1)))) -> #c(x1) Number of SCCs: 1, DPs: 15 SCC { #1..15 } Sum... succeeded. a(x1) w: (21239 + x1) b(x1) w: (1 + x1) c(x1) w: (1 + x1) #c(x1) w: (2437 + x1) #a(x1) w: (23675 + x1) #b(x1) w: (2437 + x1) USABLE RULES: { 1..4 } Removed DPs: #2..4 #6 #7 #9..11 #13..15 Number of SCCs: 1, DPs: 4 SCC { #1 #5 #8 #12 } Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded. a(x1) w: (x1_2, 1) b(x1) w: (x1_2, 1 + x1_1) c(x1) w: (26667 + x1_2, x1_1) #c(x1) w: (42205, 0) #a(x1) w: (15537 + x1_2, 0) #b(x1) w: (42204, 0) USABLE RULES: { 1..4 } Removed DPs: #1 #8 #12 Number of SCCs: 0, DPs: 0