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TRS Standard pair #487070634
details
property
value
status
complete
benchmark
Ex1_Luc04b_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n181.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.0175569 seconds
cpu usage
0.018054
user time
0.005975
system time
0.012079
max virtual memory
113188.0
max residence set size
4116.0
stage attributes
key
value
starexec-result
NO
output
NO Problem 1: (VAR v_NonEmpty:S X:S XS:S) (RULES activate(n__incr(X:S)) -> incr(X:S) activate(X:S) -> X:S head(cons(X:S,XS:S)) -> X:S incr(cons(X:S,XS:S)) -> cons(s(X:S),n__incr(activate(XS:S))) incr(X:S) -> n__incr(X:S) nats -> cons(0,n__incr(nats)) odds -> incr(pairs) pairs -> cons(0,n__incr(odds)) tail(cons(X:S,XS:S)) -> activate(XS:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__incr(X:S)) -> INCR(X:S) INCR(cons(X:S,XS:S)) -> ACTIVATE(XS:S) NATS -> NATS ODDS -> INCR(pairs) ODDS -> PAIRS PAIRS -> ODDS TAIL(cons(X:S,XS:S)) -> ACTIVATE(XS:S) -> Rules: activate(n__incr(X:S)) -> incr(X:S) activate(X:S) -> X:S head(cons(X:S,XS:S)) -> X:S incr(cons(X:S,XS:S)) -> cons(s(X:S),n__incr(activate(XS:S))) incr(X:S) -> n__incr(X:S) nats -> cons(0,n__incr(nats)) odds -> incr(pairs) pairs -> cons(0,n__incr(odds)) tail(cons(X:S,XS:S)) -> activate(XS:S) Problem 1: Infinite Processor: -> Pairs: ACTIVATE(n__incr(X:S)) -> INCR(X:S) INCR(cons(X:S,XS:S)) -> ACTIVATE(XS:S) NATS -> NATS ODDS -> INCR(pairs) ODDS -> PAIRS PAIRS -> ODDS TAIL(cons(X:S,XS:S)) -> ACTIVATE(XS:S) -> Rules: activate(n__incr(X:S)) -> incr(X:S) activate(X:S) -> X:S head(cons(X:S,XS:S)) -> X:S incr(cons(X:S,XS:S)) -> cons(s(X:S),n__incr(activate(XS:S))) incr(X:S) -> n__incr(X:S) nats -> cons(0,n__incr(nats)) odds -> incr(pairs) pairs -> cons(0,n__incr(odds)) tail(cons(X:S,XS:S)) -> activate(XS:S) -> Pairs in cycle: NATS -> NATS The problem is infinite.
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