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TRS Standard pair #516964776
details
property
value
status
complete
benchmark
aoto.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Rubio_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.112267017365 seconds
cpu usage
0.036253638
max memory
2850816.0
stage attributes
key
value
output-size
1452
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) (RULES f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(f(X:S)) -> F(g(f(g(f(X:S))))) F(f(X:S)) -> F(g(f(X:S))) F(g(f(X:S))) -> F(g(X:S)) -> Rules: f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) Problem 1: SCC Processor: -> Pairs: F(f(X:S)) -> F(g(f(g(f(X:S))))) F(f(X:S)) -> F(g(f(X:S))) F(g(f(X:S))) -> F(g(X:S)) -> Rules: f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(g(f(X:S))) -> F(g(X:S)) ->->-> Rules: f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) Problem 1: Reduction Pair Processor: -> Pairs: F(g(f(X:S))) -> F(g(X:S)) -> Rules: f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) -> Usable rules: Empty ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [f](X) = 2.X + 2 [g](X) = 2.X [F](X) = 2.X Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(f(X:S)) -> f(g(f(g(f(X:S))))) f(g(f(X:S))) -> f(g(X:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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