/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(a(c(x1))) -> c(c(b(x1))) 2: c(c(c(x1))) -> b(c(c(x1))) 3: b(c(a(x1))) ->= a(c(b(x1))) 4: a(b(a(x1))) ->= c(a(a(x1))) 5: b(c(b(x1))) ->= b(c(b(x1))) 6: c(b(a(x1))) ->= c(a(a(x1))) Removing trivial weak rule 5. Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #c(c(c(x1))) -> #b(c(c(x1))) #2: #c(b(a(x1))) ->? #c(a(a(x1))) #3: #c(b(a(x1))) ->? #a(a(x1)) #4: #b(c(a(x1))) ->? #a(c(b(x1))) #5: #b(c(a(x1))) ->? #c(b(x1)) #6: #b(c(a(x1))) ->? #b(x1) #7: #c(a(c(x1))) -> #c(c(b(x1))) #8: #c(a(c(x1))) -> #c(b(x1)) #9: #c(a(c(x1))) -> #b(x1) #10: #a(b(a(x1))) ->? #c(a(a(x1))) #11: #a(b(a(x1))) ->? #a(a(x1)) Number of SCCs: 1, DPs: 11 SCC { #1..11 } POLO(Sum)... succeeded. a w: x1 + 28101 b w: x1 + 28101 c w: x1 + 28101 #c w: x1 #a w: x1 #b w: x1 USABLE RULES: { 1..4 6 } Removed DPs: #3 #5 #6 #8 #9 #11 Number of SCCs: 1, DPs: 5 SCC { #1 #2 #4 #7 #10 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [31705;31705] b w: [0,1;0,1] * x1 c w: [0,0;1,0] * x1 + [31702;0] #c w: [31704;0] #a w: [1,0;0,0] * x1 #b w: [1,0;0,0] * x1 + [1;0] USABLE RULES: { 1..4 6 } Removed DPs: #1 #4 #10 Number of SCCs: 1, DPs: 2 SCC { #2 #7 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1;1] b w: [1,1;0,1] * x1 c w: [0,0;1,0] * x1 #c w: [1,0;0,0] * x1 + [31704;0] #a w: [0;0] #b w: [1;0] USABLE RULES: { 1..4 6 } Removed DPs: #2 #7 Number of SCCs: 0, DPs: 0