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TRS Stand 20472 pair #381712857
details
property
value
status
complete
benchmark
improved_usable.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n191.star.cs.uiowa.edu
space
AProVE_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.150479078293 seconds
cpu usage
0.119393989
max memory
4091904.0
stage attributes
key
value
output-size
2134
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 x) (RULES f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x ) Problem 1: Dependency Pairs Processor: -> Pairs: F(a,h(x)) -> F(g(x),h(x)) F(a,h(x)) -> G(x) G(h(x)) -> G(x) -> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x Problem 1: SCC Processor: -> Pairs: F(a,h(x)) -> F(g(x),h(x)) F(a,h(x)) -> G(x) G(h(x)) -> G(x) -> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: G(h(x)) -> G(x) ->->-> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x ->->Cycle: ->->-> Pairs: F(a,h(x)) -> F(g(x),h(x)) ->->-> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: G(h(x)) -> G(x) -> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x ->Projection: pi(G) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x) h(g(x)) -> h(a) h(h(x)) -> x ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Reduction Pair Processor: -> Pairs: F(a,h(x)) -> F(g(x),h(x)) -> Rules: f(a,h(x)) -> f(g(x),h(x)) g(h(x)) -> g(x)
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