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TRS Stand 20472 pair #381711254
details
property
value
status
complete
benchmark
017.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n033.star.cs.uiowa.edu
space
AotoYamada_05
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0442538261414 seconds
cpu usage
0.026948349
max memory
2949120.0
stage attributes
key
value
output-size
2303
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 f x y) (RULES app(app(app(uncurry,f),x),y) -> app(app(f,x),y) ) Problem 1: Innermost Equivalent Processor: -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) -> The term rewriting system is non-overlaping or locally confluent overlay system. Therefore, innermost termination implies termination. Problem 1: Dependency Pairs Processor: -> Pairs: APP(app(app(uncurry,f),x),y) -> APP(app(f,x),y) APP(app(app(uncurry,f),x),y) -> APP(f,x) -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) Problem 1: SCC Processor: -> Pairs: APP(app(app(uncurry,f),x),y) -> APP(app(f,x),y) APP(app(app(uncurry,f),x),y) -> APP(f,x) -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(uncurry,f),x),y) -> APP(app(f,x),y) APP(app(app(uncurry,f),x),y) -> APP(f,x) ->->-> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) Problem 1: Reduction Pairs Processor: -> Pairs: APP(app(app(uncurry,f),x),y) -> APP(app(f,x),y) APP(app(app(uncurry,f),x),y) -> APP(f,x) -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) -> Usable rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) ->Interpretation type: Linear ->Coefficients: Natural Numbers ->Dimension: 1 ->Bound: 2 ->Interpretation: [app](X1,X2) = 2.X1 + 2.X2 + 2 [uncurry] = 1 [APP](X1,X2) = 2.X1 + 2.X2 Problem 1: SCC Processor: -> Pairs: APP(app(app(uncurry,f),x),y) -> APP(f,x) -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: APP(app(app(uncurry,f),x),y) -> APP(f,x) ->->-> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) Problem 1: Subterm Processor: -> Pairs: APP(app(app(uncurry,f),x),y) -> APP(f,x) -> Rules: app(app(app(uncurry,f),x),y) -> app(app(f,x),y) ->Projection: pi(APP) = 1 Problem 1: SCC Processor: -> Pairs:
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