details

property	value
status	complete
benchmark	1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Mixed_TRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.327023 seconds
cpu usage	0.122689
user time	0.081783
system time	0.040906
max virtual memory	113188.0
max residence set size	5420.0

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

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actions

all output return to TRS Standard