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TRS Standard pair #487070689
details
property
value
status
complete
benchmark
ExIntrod_GM01_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n177.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
1.16398 seconds
cpu usage
0.965186
user time
0.698783
system time
0.266403
max virtual memory
707000.0
max residence set size
9608.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S L:S X:S X1:S X2:S) (RULES a__adx(cons(X:S,L:S)) -> a__incr(cons(mark(X:S),adx(L:S))) a__adx(nil) -> nil a__adx(X:S) -> adx(X:S) a__head(cons(X:S,L:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,L:S)) -> cons(s(mark(X:S)),incr(L:S)) a__incr(nil) -> nil a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tail(cons(X:S,L:S)) -> mark(L:S) a__tail(X:S) -> tail(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(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(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(zeros) -> a__zeros ) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADX(cons(X:S,L:S)) -> A__INCR(cons(mark(X:S),adx(L:S))) A__ADX(cons(X:S,L:S)) -> MARK(X:S) A__HEAD(cons(X:S,L:S)) -> MARK(X:S) A__INCR(cons(X:S,L:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TAIL(cons(X:S,L:S)) -> MARK(L:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X: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(s(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> A__TAIL(mark(X:S)) MARK(tail(X:S)) -> MARK(X:S) MARK(zeros) -> A__ZEROS -> Rules: a__adx(cons(X:S,L:S)) -> a__incr(cons(mark(X:S),adx(L:S))) a__adx(nil) -> nil a__adx(X:S) -> adx(X:S) a__head(cons(X:S,L:S)) -> mark(X:S) a__head(X:S) -> head(X:S) a__incr(cons(X:S,L:S)) -> cons(s(mark(X:S)),incr(L:S)) a__incr(nil) -> nil a__incr(X:S) -> incr(X:S) a__nats -> a__adx(a__zeros) a__nats -> nats a__tail(cons(X:S,L:S)) -> mark(L:S) a__tail(X:S) -> tail(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(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(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(zeros) -> a__zeros Problem 1: SCC Processor: -> Pairs: A__ADX(cons(X:S,L:S)) -> A__INCR(cons(mark(X:S),adx(L:S))) A__ADX(cons(X:S,L:S)) -> MARK(X:S) A__HEAD(cons(X:S,L:S)) -> MARK(X:S) A__INCR(cons(X:S,L:S)) -> MARK(X:S) A__NATS -> A__ADX(a__zeros) A__NATS -> A__ZEROS A__TAIL(cons(X:S,L:S)) -> MARK(L:S) MARK(adx(X:S)) -> A__ADX(mark(X:S)) MARK(adx(X:S)) -> MARK(X: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
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