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TRS Standard pair #487069634
details
property
value
status
complete
benchmark
Ex18_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0171141 seconds
cpu usage
0.017609
user time
0.002819
system time
0.01479
max virtual memory
113188.0
max residence set size
4184.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S) (RULES a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__F(f(a)) -> A__F(g(f(a))) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) Problem 1: SCC Processor: -> Pairs: A__F(f(a)) -> A__F(g(f(a))) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MARK(f(X:S)) -> MARK(X:S) ->->-> Rules: a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) Problem 1: Subterm Processor: -> Pairs: MARK(f(X:S)) -> MARK(X:S) -> Rules: a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) ->Projection: pi(MARK) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: a__f(f(a)) -> a__f(g(f(a))) a__f(X:S) -> f(X:S) mark(a) -> a mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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