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TRS Standard pair #487069054
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
n180.star.cs.uiowa.edu
space
Mixed_TRS
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.15174 seconds
cpu usage
0.755847
user time
0.509855
system time
0.245992
max virtual memory
583152.0
max residence set size
9192.0
stage attributes
key
value
starexec-result
YES
output
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) -> 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))
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