/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(x1) -> b(x1) 2: a(a(x1)) -> a(b(a(x1))) 3: a(b(x1)) -> b(b(b(x1))) 4: a(a(a(x1))) -> a(a(b(a(a(x1))))) 5: a(a(b(x1))) -> a(b(b(a(b(x1))))) 6: a(b(a(x1))) -> b(a(b(b(a(x1))))) 7: a(b(b(x1))) -> b(b(b(b(b(x1))))) 8: b(a(x1)) -> b(b(b(x1))) 9: a(b(a(x1))) -> a(b(b(a(b(x1))))) 10: b(a(a(x1))) -> b(a(b(b(a(x1))))) 11: b(b(a(x1))) -> b(b(b(b(b(x1))))) Number of strict rules: 11 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(x1)) -> #a(b(a(x1))) #2: #a(a(x1)) -> #b(a(x1)) #3: #a(b(a(x1))) -> #b(a(b(b(a(x1))))) #4: #a(b(a(x1))) -> #a(b(b(a(x1)))) #5: #a(b(a(x1))) -> #b(b(a(x1))) #6: #a(b(a(x1))) -> #a(b(b(a(b(x1))))) #7: #a(b(a(x1))) -> #b(b(a(b(x1)))) #8: #a(b(a(x1))) -> #b(a(b(x1))) #9: #a(b(a(x1))) -> #a(b(x1)) #10: #a(b(a(x1))) -> #b(x1) #11: #b(b(a(x1))) -> #b(b(b(b(b(x1))))) #12: #b(b(a(x1))) -> #b(b(b(b(x1)))) #13: #b(b(a(x1))) -> #b(b(b(x1))) #14: #b(b(a(x1))) -> #b(b(x1)) #15: #b(b(a(x1))) -> #b(x1) #16: #a(b(b(x1))) -> #b(b(b(b(b(x1))))) #17: #a(b(b(x1))) -> #b(b(b(b(x1)))) #18: #a(b(b(x1))) -> #b(b(b(x1))) #19: #b(a(a(x1))) -> #b(a(b(b(a(x1))))) #20: #b(a(a(x1))) -> #a(b(b(a(x1)))) #21: #b(a(a(x1))) -> #b(b(a(x1))) #22: #b(a(a(x1))) -> #b(a(x1)) #23: #a(a(b(x1))) -> #a(b(b(a(b(x1))))) #24: #a(a(b(x1))) -> #b(b(a(b(x1)))) #25: #a(a(b(x1))) -> #b(a(b(x1))) #26: #a(b(x1)) -> #b(b(b(x1))) #27: #a(b(x1)) -> #b(b(x1)) #28: #a(x1) -> #b(x1) #29: #b(a(x1)) -> #b(b(b(x1))) #30: #b(a(x1)) -> #b(b(x1)) #31: #b(a(x1)) -> #b(x1) #32: #a(a(a(x1))) -> #a(a(b(a(a(x1))))) #33: #a(a(a(x1))) -> #a(b(a(a(x1)))) #34: #a(a(a(x1))) -> #b(a(a(x1))) Number of SCCs: 2, DPs: 27 SCC { #32 } POLO(Sum)... succeeded. a w: x1 + 7721 b w: 7720 #a w: x1 #b w: 0 USABLE RULES: { 1 3 6..11 } Removed DPs: #32 Number of SCCs: 1, DPs: 26 SCC { #3..22 #26..31 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 + 30615, 0) b w: max(x1 - 30615, 0) #a w: max(x1 + 61229, 0) #b w: max(x1 + 30613, 0) USABLE RULES: { 1..11 } Removed DPs: #3 #5 #7 #8 #10 #16..22 #26..31 Number of SCCs: 2, DPs: 8 SCC { #4 #6 #9 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,0;1,0] * x1 + [2;3] b w: [0,0;1,0] * x1 + [1;1] #a w: [1,1;0,0] * x1 #b w: [0;0] USABLE RULES: { 1..11 } Removed DPs: #4 #6 #9 Number of SCCs: 1, DPs: 5 SCC { #11..15 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [1,0;1,1] * x1 + [1;1] b w: [0,0;0,1] * x1 #a w: [0;0] #b w: [0,1;0,0] * x1 USABLE RULES: { 1..11 } Removed DPs: #11..15 Number of SCCs: 0, DPs: 0