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TRS Standard pair #516963551
details
property
value
status
complete
benchmark
Ex4_7_15_Bor03_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.110682010651 seconds
cpu usage
0.038965538
max memory
3338240.0
stage attributes
key
value
output-size
4522
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S) (RULES a__f(0) -> cons(0,f(s(0))) a__f(s(0)) -> a__f(a__p(s(0))) a__f(X:S) -> f(X:S) a__p(s(0)) -> 0 a__p(X:S) -> p(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(p(X:S)) -> a__p(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__F(s(0)) -> A__F(a__p(s(0))) A__F(s(0)) -> A__P(s(0)) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(p(X:S)) -> A__P(mark(X:S)) MARK(p(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__f(0) -> cons(0,f(s(0))) a__f(s(0)) -> a__f(a__p(s(0))) a__f(X:S) -> f(X:S) a__p(s(0)) -> 0 a__p(X:S) -> p(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(p(X:S)) -> a__p(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__F(s(0)) -> A__F(a__p(s(0))) A__F(s(0)) -> A__P(s(0)) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(f(X:S)) -> A__F(mark(X:S)) MARK(f(X:S)) -> MARK(X:S) MARK(p(X:S)) -> A__P(mark(X:S)) MARK(p(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) -> Rules: a__f(0) -> cons(0,f(s(0))) a__f(s(0)) -> a__f(a__p(s(0))) a__f(X:S) -> f(X:S) a__p(s(0)) -> 0 a__p(X:S) -> p(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(p(X:S)) -> a__p(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: A__F(s(0)) -> A__F(a__p(s(0))) ->->-> Rules: a__f(0) -> cons(0,f(s(0))) a__f(s(0)) -> a__f(a__p(s(0))) a__f(X:S) -> f(X:S) a__p(s(0)) -> 0 a__p(X:S) -> p(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(f(X:S)) -> a__f(mark(X:S)) mark(p(X:S)) -> a__p(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) ->->Cycle: ->->-> Pairs: MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(f(X:S)) -> MARK(X:S) MARK(p(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) ->->-> Rules: a__f(0) -> cons(0,f(s(0))) a__f(s(0)) -> a__f(a__p(s(0))) a__f(X:S) -> f(X:S) a__p(s(0)) -> 0 a__p(X:S) -> p(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S)
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