details

property	value
status	complete
benchmark	jw09.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Zantema_05

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.134284 seconds
cpu usage	0.107188
user time	0.072941
system time	0.034247
max virtual memory	113188.0
max residence set size	5428.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(a,f(a,x:S)) -> F(x:S,f(a,f(f(a,a),a))) -> Rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) Problem 1: SCC Processor: -> Pairs: F(a,f(a,x:S)) -> F(x:S,f(a,f(f(a,a),a))) -> Rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a,f(a,x:S)) -> F(x:S,f(a,f(f(a,a),a))) ->->-> Rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) Problem 1: Reduction Pair Processor: -> Pairs: F(a,f(a,x:S)) -> F(x:S,f(a,f(f(a,a),a))) -> Rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) -> Usable rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) ->Interpretation type: Linear ->Coefficients: All rationals ->Dimension: 1 ->Bound: 4 ->Interpretation: [f](X1,X2) = 1/4.X1 + 1/2.X2 [a] = 2/3 [F](X1,X2) = 4/3.X1 + 3.X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(a,f(a,x:S)) -> f(x:S,f(a,f(f(a,a),a))) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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