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TRS Standard pair #487071389
details
property
value
status
complete
benchmark
Ex25_Luc06_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n189.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0180091 seconds
cpu usage
0.018548
user time
0.007735
system time
0.010813
max virtual memory
113188.0
max residence set size
5276.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S) (RULES a__c(X:S) -> c(X:S) a__c(X:S) -> d(X:S) a__f(f(X:S)) -> a__c(f(g(f(X:S)))) a__f(X:S) -> f(X:S) a__h(X:S) -> a__c(d(X:S)) a__h(X:S) -> h(X:S) mark(c(X:S)) -> a__c(X:S) mark(d(X:S)) -> d(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) mark(h(X:S)) -> a__h(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__F(f(X:S)) -> A__C(f(g(f(X:S)))) A__H(X:S) -> A__C(d(X:S)) MARK(c(X:S)) -> A__C(X:S) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(h(X:S)) -> A__H(mark(X:S)) MARK(h(X:S)) -> MARK(X:S) -> Rules: a__c(X:S) -> c(X:S) a__c(X:S) -> d(X:S) a__f(f(X:S)) -> a__c(f(g(f(X:S)))) a__f(X:S) -> f(X:S) a__h(X:S) -> a__c(d(X:S)) a__h(X:S) -> h(X:S) mark(c(X:S)) -> a__c(X:S) mark(d(X:S)) -> d(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) mark(h(X:S)) -> a__h(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__F(f(X:S)) -> A__C(f(g(f(X:S)))) A__H(X:S) -> A__C(d(X:S)) MARK(c(X:S)) -> A__C(X:S) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(h(X:S)) -> A__H(mark(X:S)) MARK(h(X:S)) -> MARK(X:S) -> Rules: a__c(X:S) -> c(X:S) a__c(X:S) -> d(X:S) a__f(f(X:S)) -> a__c(f(g(f(X:S)))) a__f(X:S) -> f(X:S) a__h(X:S) -> a__c(d(X:S)) a__h(X:S) -> h(X:S) mark(c(X:S)) -> a__c(X:S) mark(d(X:S)) -> d(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) mark(h(X:S)) -> a__h(mark(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: MARK(f(X:S)) -> MARK(X:S) MARK(h(X:S)) -> MARK(X:S) ->->-> Rules: a__c(X:S) -> c(X:S) a__c(X:S) -> d(X:S) a__f(f(X:S)) -> a__c(f(g(f(X:S)))) a__f(X:S) -> f(X:S) a__h(X:S) -> a__c(d(X:S)) a__h(X:S) -> h(X:S) mark(c(X:S)) -> a__c(X:S) mark(d(X:S)) -> d(X:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(g(X:S)) -> g(X:S) mark(h(X:S)) -> a__h(mark(X:S)) Problem 1: Subterm Processor: -> Pairs: MARK(f(X:S)) -> MARK(X:S) MARK(h(X:S)) -> MARK(X:S) -> Rules: a__c(X:S) -> c(X:S) a__c(X:S) -> d(X:S) a__f(f(X:S)) -> a__c(f(g(f(X:S)))) a__f(X:S) -> f(X:S) a__h(X:S) -> a__c(d(X:S)) a__h(X:S) -> h(X:S) mark(c(X:S)) -> a__c(X:S) mark(d(X:S)) -> d(X:S) mark(f(X:S)) -> a__f(mark(X:S))
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