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TRS Innermost pair #487524016
details
property
value
status
complete
benchmark
#4.16.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
AG01_innermost
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0215249061584 seconds
cpu usage
0.017612042
max memory
1650688.0
stage attributes
key
value
output-size
1202
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) (RULES f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: F(s(0),g(x:S)) -> F(x:S,g(x:S)) G(s(x:S)) -> G(x:S) -> Rules: f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) Problem 1: SCC Processor: -> Pairs: F(s(0),g(x:S)) -> F(x:S,g(x:S)) G(s(x:S)) -> G(x:S) -> Rules: f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(s(x:S)) -> G(x:S) ->->-> Rules: f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) Problem 1: Subterm Processor: -> Pairs: G(s(x:S)) -> G(x:S) -> Rules: f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) ->Projection: pi(G) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: f(s(0),g(x:S)) -> f(x:S,g(x:S)) g(s(x:S)) -> g(x:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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