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TRS Standard pair #516964511
details
property
value
status
complete
benchmark
Ex1_Luc04b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.82544708252 seconds
cpu usage
0.746490768
max memory
6221824.0
stage attributes
key
value
output-size
30446
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S XS:S) (RULES a__head(cons(X:S,XS:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,XS:S)) -> cons(s(mark(X:S)),incr(XS:S)) a__incr(X:S) -> incr(X:S) a__nats -> cons(0,incr(nats)) a__nats -> nats a__odds -> a__incr(a__pairs) a__odds -> odds a__pairs -> cons(0,incr(odds)) a__pairs -> pairs a__tail(cons(X:S,XS:S)) -> mark(XS:S) a__tail(X:S) -> tail(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(head(X:S)) -> a__head(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(nil) -> nil mark(odds) -> a__odds mark(pairs) -> a__pairs mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__HEAD(cons(X:S,XS:S)) -> MARK(X:S) A__INCR(cons(X:S,XS:S)) -> MARK(X:S) A__ODDS -> A__INCR(a__pairs) A__ODDS -> A__PAIRS A__TAIL(cons(X:S,XS:S)) -> MARK(XS:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> A__HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> A__INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S) MARK(nats) -> A__NATS MARK(odds) -> A__ODDS MARK(pairs) -> A__PAIRS MARK(s(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> A__TAIL(mark(X:S)) MARK(tail(X:S)) -> MARK(X:S) -> Rules: a__head(cons(X:S,XS:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,XS:S)) -> cons(s(mark(X:S)),incr(XS:S)) a__incr(X:S) -> incr(X:S) a__nats -> cons(0,incr(nats)) a__nats -> nats a__odds -> a__incr(a__pairs) a__odds -> odds a__pairs -> cons(0,incr(odds)) a__pairs -> pairs a__tail(cons(X:S,XS:S)) -> mark(XS:S) a__tail(X:S) -> tail(X:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(head(X:S)) -> a__head(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(nil) -> nil mark(odds) -> a__odds mark(pairs) -> a__pairs mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__HEAD(cons(X:S,XS:S)) -> MARK(X:S) A__INCR(cons(X:S,XS:S)) -> MARK(X:S) A__ODDS -> A__INCR(a__pairs) A__ODDS -> A__PAIRS A__TAIL(cons(X:S,XS:S)) -> MARK(XS:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(head(X:S)) -> A__HEAD(mark(X:S)) MARK(head(X:S)) -> MARK(X:S) MARK(incr(X:S)) -> A__INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S) MARK(nats) -> A__NATS MARK(odds) -> A__ODDS MARK(pairs) -> A__PAIRS MARK(s(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> A__TAIL(mark(X:S)) MARK(tail(X:S)) -> MARK(X:S)
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