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TRS Innermost pair #487093518
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
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.80678 seconds
cpu usage
0.756824
user time
0.520168
system time
0.236656
max virtual memory
706548.0
max residence set size
9292.0
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)) ) (STRATEGY INNERMOST) 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
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