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TRS Standard pair #516962561
details
property
value
status
complete
benchmark
Ex23_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n072.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0392589569092 seconds
cpu usage
0.018400017
max memory
1495040.0
stage attributes
key
value
output-size
1893
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 a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(g(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) Problem 1: SCC Processor: -> Pairs: MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(g(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MARK(f(X:S)) -> MARK(X:S) MARK(g(X:S)) -> MARK(X:S) ->->-> Rules: a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) Problem 1: Subterm Processor: -> Pairs: MARK(f(X:S)) -> MARK(X:S) MARK(g(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) ->Projection: pi(MARK) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: a__f(f(a)) -> c(f(g(f(a)))) a__f(X:S) -> f(X:S) mark(a) -> a mark(c(X:S)) -> c(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(mark(X:S)) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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