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TRS Standard pair #487071699
details
property
value
status
complete
benchmark
ExIntrod_GM04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n192.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.167111 seconds
cpu usage
0.103993
user time
0.064841
system time
0.039152
max virtual memory
113188.0
max residence set size
8316.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S X:S X1:S X2:S Y:S) (RULES a__adx(cons(X:S,Y:S)) -> a__incr(cons(X:S,adx(Y:S))) a__adx(X:S) -> adx(X:S) a__hd(cons(X:S,Y:S)) -> mark(X:S) a__hd(X:S) -> hd(X:S) a__incr(cons(X:S,Y:S)) -> cons(s(X:S),incr(Y:S)) a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tl(cons(X:S,Y:S)) -> mark(Y:S) a__tl(X:S) -> tl(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(adx(X:S)) -> a__adx(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(X1:S,X2:S) mark(hd(X:S)) -> a__hd(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(s(X:S)) -> s(X:S) mark(tl(X:S)) -> a__tl(mark(X:S)) mark(zeros) -> a__zeros ) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADX(cons(X:S,Y:S)) -> A__INCR(cons(X:S,adx(Y:S))) A__HD(cons(X:S,Y:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TL(cons(X:S,Y:S)) -> MARK(Y:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X:S) MARK(hd(X:S)) -> A__HD(mark(X:S)) MARK(hd(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(tl(X:S)) -> A__TL(mark(X:S)) MARK(tl(X:S)) -> MARK(X:S) MARK(zeros) -> A__ZEROS -> Rules: a__adx(cons(X:S,Y:S)) -> a__incr(cons(X:S,adx(Y:S))) a__adx(X:S) -> adx(X:S) a__hd(cons(X:S,Y:S)) -> mark(X:S) a__hd(X:S) -> hd(X:S) a__incr(cons(X:S,Y:S)) -> cons(s(X:S),incr(Y:S)) a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tl(cons(X:S,Y:S)) -> mark(Y:S) a__tl(X:S) -> tl(X:S) a__zeros -> cons(0,zeros) a__zeros -> zeros mark(0) -> 0 mark(adx(X:S)) -> a__adx(mark(X:S)) mark(cons(X1:S,X2:S)) -> cons(X1:S,X2:S) mark(hd(X:S)) -> a__hd(mark(X:S)) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nats) -> a__nats mark(s(X:S)) -> s(X:S) mark(tl(X:S)) -> a__tl(mark(X:S)) mark(zeros) -> a__zeros Problem 1: SCC Processor: -> Pairs: A__ADX(cons(X:S,Y:S)) -> A__INCR(cons(X:S,adx(Y:S))) A__HD(cons(X:S,Y:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TL(cons(X:S,Y:S)) -> MARK(Y:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X:S) MARK(hd(X:S)) -> A__HD(mark(X:S)) MARK(hd(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(tl(X:S)) -> A__TL(mark(X:S)) MARK(tl(X:S)) -> MARK(X:S) MARK(zeros) -> A__ZEROS -> Rules: a__adx(cons(X:S,Y:S)) -> a__incr(cons(X:S,adx(Y:S))) a__adx(X:S) -> adx(X:S) a__hd(cons(X:S,Y:S)) -> mark(X:S) a__hd(X:S) -> hd(X:S) a__incr(cons(X:S,Y:S)) -> cons(s(X:S),incr(Y:S)) a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tl(cons(X:S,Y:S)) -> mark(Y:S)
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