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TRS Innermost pair #487093196
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
n137.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0161159 seconds
cpu usage
0.016616
user time
0.005386
system time
0.01123
max virtual memory
113188.0
max residence set size
4208.0
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) ) (STRATEGY INNERMOST) 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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