/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x1) (RULES a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ) Problem 1: Dependency Pairs Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 0 [b](X) = 1 [c](X) = 0 [A](X) = X Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(a(b(c(a(b(c(a(b(c(x1))))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 0 [b](X) = 2 [c](X) = 0 [A](X) = 2.X Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(a(b(c(a(b(c(a(b(c(x1)))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 1 [b](X) = 2 [c](X) = 0 [A](X) = 2.X Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(a(b(c(x1))))))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [a](X) = 3/2.X + 1/2 [b](X) = 3.X [c](X) = 3/4.X [A](X) = 4.X Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(a(b(c(x1)))))) A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = X + 2 [b](X) = 2.X + 1 [c](X) = 2.X + 1 [A](X) = 2.X Problem 1: SCC Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) ->->-> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) Problem 1: Reduction Pair Processor: -> Pairs: A(b(c(a(b(c(a(a(a(x1))))))))) -> A(b(c(x1))) -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [a](X) = 2.X [b](X) = 2.X + 2 [c](X) = X + 2 [A](X) = 2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: a(b(c(a(b(c(a(a(a(x1))))))))) -> a(a(a(a(b(c(a(b(c(a(b(c(x1)))))))))))) ->Strongly Connected Components: There is no strongly connected component The problem is finite.