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TRS Innermost pair #487524620
details
property
value
status
complete
benchmark
test10.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Mixed_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0335559844971 seconds
cpu usage
0.018848491
max memory
1519616.0
stage attributes
key
value
output-size
1714
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S Y:S Z:S) (RULES f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: F(X:S,Y:S,g(X:S,Y:S)) -> H(0,g(X:S,Y:S)) G(X:S,s(Y:S)) -> G(X:S,Y:S) H(X:S,Z:S) -> F(X:S,s(X:S),Z:S) -> Rules: f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) Problem 1: SCC Processor: -> Pairs: F(X:S,Y:S,g(X:S,Y:S)) -> H(0,g(X:S,Y:S)) G(X:S,s(Y:S)) -> G(X:S,Y:S) H(X:S,Z:S) -> F(X:S,s(X:S),Z:S) -> Rules: f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(X:S,s(Y:S)) -> G(X:S,Y:S) ->->-> Rules: f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) Problem 1: Subterm Processor: -> Pairs: G(X:S,s(Y:S)) -> G(X:S,Y:S) -> Rules: f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) ->Projection: pi(G) = 2 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(X:S,Y:S,g(X:S,Y:S)) -> h(0,g(X:S,Y:S)) g(0,Y:S) -> 0 g(X:S,s(Y:S)) -> g(X:S,Y:S) h(X:S,Z:S) -> f(X:S,s(X:S),Z:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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