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TRS Innermost pair #487524606
details
property
value
status
complete
benchmark
innermost4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n152.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
125.179502964 seconds
cpu usage
122.947303256
max memory
1.2251136E7
stage attributes
key
value
output-size
4088
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 u:S x:S y:S z:S) (RULES a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> A(b) F(a(x:S),y:S,s(z:S),u:S) -> F(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) -> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) Problem 1: SCC Processor: -> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> A(b) F(a(x:S),y:S,s(z:S),u:S) -> F(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) -> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> F(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) ->->-> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) Problem 1: Subterm Processor: -> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> F(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) -> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) ->Projection: pi(F) = 3 pi(G) = 3 pi(H) = 3 Problem 1: SCC Processor: -> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) -> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S)) g(x:S,y:S,z:S,u:S) -> h(x:S,y:S,z:S,u:S) h(b,y:S,z:S,u:S) -> f(y:S,y:S,z:S,u:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: F(a(x:S),y:S,s(z:S),u:S) -> G(x:S,y:S,s(z:S),u:S) G(x:S,y:S,z:S,u:S) -> H(x:S,y:S,z:S,u:S) H(b,y:S,z:S,u:S) -> F(y:S,y:S,z:S,u:S) ->->-> Rules: a(b) -> c f(a(x:S),y:S,s(z:S),u:S) -> f(a(b),y:S,z:S,g(x:S,y:S,s(z:S),u:S))
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