details

property	value
status	complete
benchmark	#3.35.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	AG01

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0618381500244 seconds
cpu usage	0.017900844
max memory	1531904.0

stage attributes

key	value
output-size	1590
starexec-result	YES

output

/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) (RULES f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(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: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) Problem 1: SCC Processor: -> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) ->->-> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) Problem 1: Subterm Processor: -> Pairs: F(s(x:S)) -> G(x:S) G(s(x:S)) -> F(x:S) -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ->Projection: pi(F) = 1 pi(G) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(0) -> s(0) f(s(x:S)) -> s(s(g(x:S))) g(0) -> 0 g(s(x:S)) -> f(x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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