/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- MAYBE Input TRS: 1: f(a(),f(a(),x)) -> f(c(),f(b(),x)) 2: f(b(),f(b(),x)) -> f(a(),f(c(),x)) 3: f(c(),f(c(),x)) -> f(b(),f(a(),x)) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying f 1: f^1_a(f^1_a(x)) -> f^1_c(f^1_b(x)) 2: f^1_b(f^1_b(x)) -> f^1_a(f^1_c(x)) 3: f^1_c(f^1_c(x)) -> f^1_b(f^1_a(x)) 4: f(a(),_1) ->= f^1_a(_1) 5: f(c(),_1) ->= f^1_c(_1) 6: f(b(),_1) ->= f^1_b(_1) Number of strict rules: 3 Direct POLO(bPol) ... removes: 4 5 6 a w: 1 b w: 1 f^1_b w: x1 + 1 c w: 1 f w: 2 * x1 + 2 * x2 f^1_a w: x1 + 1 f^1_c w: x1 + 1 Number of strict rules: 3 Direct POLO(bPol) ... failed. Dependency Pairs: #1: #f^1_b(f^1_b(x)) -> #f^1_a(f^1_c(x)) #2: #f^1_b(f^1_b(x)) -> #f^1_c(x) #3: #f^1_c(f^1_c(x)) -> #f^1_b(f^1_a(x)) #4: #f^1_c(f^1_c(x)) -> #f^1_a(x) #5: #f^1_a(f^1_a(x)) -> #f^1_c(f^1_b(x)) #6: #f^1_a(f^1_a(x)) -> #f^1_b(x) Number of SCCs: 1, DPs: 6 SCC { #1..6 } POLO(Sum)... succeeded. a w: 0 #f^1_a w: x1 #f^1_b w: x1 b w: 0 f^1_b w: x1 + 1 c w: 0 f w: 0 #f^1_c w: x1 f^1_a w: x1 + 1 f^1_c w: x1 + 1 USABLE RULES: { 1..3 } Removed DPs: #2 #4 #6 Number of SCCs: 1, DPs: 3 SCC { #1 #3 #5 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.