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TRS Standard pair #516961071
details
property
value
status
complete
benchmark
teparla1.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n080.star.cs.uiowa.edu
space
Secret_05_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
41.5567638874 seconds
cpu usage
41.411641159
max memory
1.298432E7
stage attributes
key
value
output-size
2539
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 z:S) (RULES f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: F(f(y:S,z:S),f(x:S,f(a,x:S))) -> F(f(f(a,z:S),f(x:S,a)),f(a,y:S)) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) Problem 1: SCC Processor: -> Pairs: F(f(y:S,z:S),f(x:S,f(a,x:S))) -> F(f(f(a,z:S),f(x:S,a)),f(a,y:S)) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(y:S,z:S),f(x:S,f(a,x:S))) -> F(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->->-> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) Problem 1: Instantiation Processor: -> Pairs: F(f(y:S,z:S),f(x:S,f(a,x:S))) -> F(f(f(a,z:S),f(x:S,a)),f(a,y:S)) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->Instantiated Pairs: ->->Original Pair: F(f(y:S,z:S),f(x:S,f(a,x:S))) -> F(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->-> Instantiated pairs: F(f(f(a,x4:S),f(x5:S,a)),f(a,f(a,a))) -> F(f(f(a,f(x5:S,a)),f(a,a)),f(a,f(a,x4:S))) Problem 1: SCC Processor: -> Pairs: F(f(f(a,x4:S),f(x5:S,a)),f(a,f(a,a))) -> F(f(f(a,f(x5:S,a)),f(a,a)),f(a,f(a,x4:S))) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(f(f(a,x4:S),f(x5:S,a)),f(a,f(a,a))) -> F(f(f(a,f(x5:S,a)),f(a,a)),f(a,f(a,x4:S))) ->->-> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) Problem 1: Instantiation Processor: -> Pairs: F(f(f(a,x4:S),f(x5:S,a)),f(a,f(a,a))) -> F(f(f(a,f(x5:S,a)),f(a,a)),f(a,f(a,x4:S))) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->Instantiated Pairs: ->->Original Pair: F(f(f(a,x4:S),f(x5:S,a)),f(a,f(a,a))) -> F(f(f(a,f(x5:S,a)),f(a,a)),f(a,f(a,x4:S))) ->-> Instantiated pairs: F(f(f(a,f(x6:S,a)),f(a,a)),f(a,f(a,a))) -> F(f(f(a,f(a,a)),f(a,a)),f(a,f(a,f(x6:S,a)))) Problem 1: SCC Processor: -> Pairs: F(f(f(a,f(x6:S,a)),f(a,a)),f(a,f(a,a))) -> F(f(f(a,f(a,a)),f(a,a)),f(a,f(a,f(x6:S,a)))) -> Rules: f(f(y:S,z:S),f(x:S,f(a,x:S))) -> f(f(f(a,z:S),f(x:S,a)),f(a,y:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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