/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR X) (STRATEGY CONTEXTSENSITIVE (c) (g) (h) (d) ) (RULES c -> d g(X) -> h(X) h(d) -> g(c) ) Problem 1: Innermost Equivalent Processor: -> Rules: c -> d g(X) -> h(X) h(d) -> g(c) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: G(X) -> H(X) H(d) -> G(c) -> Rules: c -> d g(X) -> h(X) h(d) -> g(c) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: G(X) -> H(X) H(d) -> G(c) -> Rules: c -> d g(X) -> h(X) h(d) -> g(c) -> Unhiding rules: Empty ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(X) -> H(X) H(d) -> G(c) ->->-> Rules: c -> d g(X) -> h(X) h(d) -> g(c) ->->-> Unhiding rules: Empty Problem 1: Reduction Pairs Processor: -> Pairs: G(X) -> H(X) H(d) -> G(c) -> Rules: c -> d g(X) -> h(X) h(d) -> g(c) -> Unhiding rules: Empty -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [c] = 0 [d] = 2 [G](X) = 2.X + 2 [H](X) = 2.X + 1 Problem 1: SCC Processor: -> Pairs: H(d) -> G(c) -> Rules: c -> d g(X) -> h(X) h(d) -> g(c) -> Unhiding rules: Empty ->Strongly Connected Components: There is no strongly connected component The problem is finite.