details

property	value
status	complete
benchmark	matchbox2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n181.star.cs.uiowa.edu
space	Secret_05_TRS

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.182413 seconds
cpu usage	0.159983
user time	0.089655
system time	0.070328
max virtual memory	113188.0
max residence set size	5536.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S y:S) (RULES f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(f(x:S,a),y:S) -> F(f(a,y:S),f(a,x:S)) -> Rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) Problem 1: SCC Processor: -> Pairs: F(f(x:S,a),y:S) -> F(f(a,y:S),f(a,x:S)) -> Rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(x:S,a),y:S) -> F(f(a,y:S),f(a,x:S)) ->->-> Rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) Problem 1: Reduction Pair Processor: -> Pairs: F(f(x:S,a),y:S) -> F(f(a,y:S),f(a,x:S)) -> Rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) -> Usable rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 2 ->Bound: 1 ->Interpretation: [f](X1,X2) = [0 1;0 0].X2 [a] = [0;1] [F](X1,X2) = [1 1;1 1].X1 + [0 1;0 1].X2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(f(x:S,a),y:S) -> f(f(a,y:S),f(a,x:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite. popout

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job log

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actions

all output return to TRS Standard