details

property	value
status	complete
benchmark	jw21.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n048.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.381242036819 seconds
cpu usage	0.203162749
max memory	5828608.0

stage attributes

key	value
output-size	1672
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(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) ) Problem 1: Innermost Equivalent Processor: -> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: F(a,f(x:S,a)) -> F(f(x:S,f(f(a,a),a)),a) F(a,f(x:S,a)) -> F(x:S,f(f(a,a),a)) -> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) Problem 1: SCC Processor: -> Pairs: F(a,f(x:S,a)) -> F(f(x:S,f(f(a,a),a)),a) F(a,f(x:S,a)) -> F(x:S,f(f(a,a),a)) -> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,f(x:S,a)) -> F(x:S,f(f(a,a),a)) ->->-> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) Problem 1: Reduction Pairs Processor: -> Pairs: F(a,f(x:S,a)) -> F(x:S,f(f(a,a),a)) -> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) -> Usable rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [f](X1,X2) = 1/4.X1 + 1/4.X2 + 1/3 [a] = 3/2 [fSNonEmpty] = 0 [F](X1,X2) = 1/3.X1 + 3/2.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(a,f(x:S,a)) -> f(f(x:S,f(f(a,a),a)),a) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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