/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S ) Problem 1: Dependency Pairs Processor: -> Pairs: MERGE(++(x:S,y:S),++(u,v)) -> MERGE(y:S,++(u,v)) -> Rules: merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S Problem 1: SCC Processor: -> Pairs: MERGE(++(x:S,y:S),++(u,v)) -> MERGE(y:S,++(u,v)) -> Rules: merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MERGE(++(x:S,y:S),++(u,v)) -> MERGE(y:S,++(u,v)) ->->-> Rules: merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S Problem 1: Subterm Processor: -> Pairs: MERGE(++(x:S,y:S),++(u,v)) -> MERGE(y:S,++(u,v)) -> Rules: merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S ->Projection: pi(MERGE) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: merge(++(x:S,y:S),++(u,v)) -> ++(u,merge(++(x:S,y:S),v)) merge(++(x:S,y:S),++(u,v)) -> ++(x:S,merge(y:S,++(u,v))) merge(nil,y:S) -> y:S merge(x:S,nil) -> x:S ->Strongly Connected Components: There is no strongly connected component The problem is finite.