/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x y) (RULES minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) ) Problem 1: Dependency Pairs Processor: -> Pairs: MINUS(f(x,y)) -> MINUS(x) MINUS(f(x,y)) -> MINUS(y) MINUS(h(x)) -> MINUS(x) -> Rules: minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) Problem 1: SCC Processor: -> Pairs: MINUS(f(x,y)) -> MINUS(x) MINUS(f(x,y)) -> MINUS(y) MINUS(h(x)) -> MINUS(x) -> Rules: minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MINUS(f(x,y)) -> MINUS(x) MINUS(f(x,y)) -> MINUS(y) MINUS(h(x)) -> MINUS(x) ->->-> Rules: minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) Problem 1: Subterm Processor: -> Pairs: MINUS(f(x,y)) -> MINUS(x) MINUS(f(x,y)) -> MINUS(y) MINUS(h(x)) -> MINUS(x) -> Rules: minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) ->Projection: pi(MINUS) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: minus(minus(x)) -> x minus(f(x,y)) -> f(minus(y),minus(x)) minus(h(x)) -> h(minus(x)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.