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TRS Standard pair #487071304
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
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.831415 seconds
cpu usage
0.769199
user time
0.5246
system time
0.244599
max virtual memory
706536.0
max residence set size
9236.0
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(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(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)) a__nats -> nats a__odds -> a__incr(a__pairs)
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