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TRS Standard pair #516961011
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
n083.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.266729831696 seconds
cpu usage
0.157296616
max memory
4857856.0
stage attributes
key
value
output-size
1349
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- 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.
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