/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(c(a(x1))) -> b(a(c(x1))) 2: b(b(b(x1))) -> a(a(a(x1))) 3: c(a(b(x1))) ->= a(a(a(x1))) 4: c(a(b(x1))) ->= a(c(a(x1))) 5: c(b(c(x1))) ->= c(b(b(x1))) 6: b(a(b(x1))) ->= b(b(c(x1))) Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(a(b(x1))) ->? #b(b(c(x1))) #2: #b(a(b(x1))) ->? #b(c(x1)) #3: #b(a(b(x1))) ->? #c(x1) #4: #c(b(c(x1))) ->? #c(b(b(x1))) #5: #c(b(c(x1))) ->? #b(b(x1)) #6: #c(b(c(x1))) ->? #b(x1) #7: #c(c(a(x1))) -> #b(a(c(x1))) #8: #c(c(a(x1))) -> #c(x1) #9: #c(a(b(x1))) ->? #c(a(x1)) Number of SCCs: 2, DPs: 9 SCC { #9 } POLO(Sum)... succeeded. a w: x1 + 1 b w: x1 + 7720 c w: 0 #c w: x1 #b w: 0 USABLE RULES: { } Removed DPs: #9 Number of SCCs: 1, DPs: 8 SCC { #1..8 } POLO(Sum)... succeeded. a w: x1 + 1 b w: x1 + 1 c w: x1 + 1 #c w: x1 + 1 #b w: x1 USABLE RULES: { 1..6 } Removed DPs: #2 #3 #5..8 Number of SCCs: 2, DPs: 2 SCC { #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1;1] b w: [0,0;1,0] * x1 + [1;29509] c w: [0,1;0,0] * x1 + [2;29510] #c w: [0,1;0,0] * x1 #b w: [0;0] USABLE RULES: { 1..6 } Removed DPs: #4 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [0,1;0,0] * x1 + [1;15051] b w: [15052;15052] c w: [1;1] #c w: [0;0] #b w: [1,0;0,0] * x1 USABLE RULES: { 2 6 } Removed DPs: #1 Number of SCCs: 0, DPs: 0