details

property	value
status	complete
benchmark	ex5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	AProVE_10

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.075523853302 seconds
cpu usage	0.018965023
max memory	1622016.0

stage attributes

key	value
output-size	1352
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: G(s(x:S)) -> F(g(x:S)) G(s(x:S)) -> G(x:S) -> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) Problem 1: SCC Processor: -> Pairs: G(s(x:S)) -> F(g(x:S)) G(s(x:S)) -> G(x:S) -> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(s(x:S)) -> G(x:S) ->->-> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) Problem 1: Subterm Processor: -> Pairs: G(s(x:S)) -> G(x:S) -> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) ->Projection: pi(G) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0) -> 0 g(0) -> 0 g(s(x:S)) -> f(g(x:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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actions

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