Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Innermost pair #487093566
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
n140.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
123.177 seconds
cpu usage
122.896
user time
117.468
system time
5.42792
max virtual memory
712100.0
max residence set size
9052.0
stage attributes
key
value
starexec-result
YES
output
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)) 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: Forward Instantiation Processor:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Innermost