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TRS Standard pair #487070304
details
property
value
status
complete
benchmark
Ex16_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0174581 seconds
cpu usage
0.017965
user time
0.006977
system time
0.010988
max virtual memory
113188.0
max residence set size
4192.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S) (RULES a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__F(X:S,X:S) -> A__F(a,b) MARK(b) -> A__B MARK(f(X1:S,X2:S)) -> A__F(mark(X1:S),X2:S) MARK(f(X1:S,X2:S)) -> MARK(X1:S) -> Rules: a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) Problem 1: SCC Processor: -> Pairs: A__F(X:S,X:S) -> A__F(a,b) MARK(b) -> A__B MARK(f(X1:S,X2:S)) -> A__F(mark(X1:S),X2:S) MARK(f(X1:S,X2:S)) -> MARK(X1:S) -> Rules: a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MARK(f(X1:S,X2:S)) -> MARK(X1:S) ->->-> Rules: a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) Problem 1: Subterm Processor: -> Pairs: MARK(f(X1:S,X2:S)) -> MARK(X1:S) -> Rules: a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) ->Projection: pi(MARK) = 1 Problem 1: SCC Processor: -> Pairs: Empty -> Rules: a__b -> a a__b -> b a__f(X:S,X:S) -> a__f(a,b) a__f(X1:S,X2:S) -> f(X1:S,X2:S) mark(a) -> a mark(b) -> a__b mark(f(X1:S,X2:S)) -> a__f(mark(X1:S),X2:S) ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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