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TRS Innermost pair #487093212
details
property
value
status
complete
benchmark
Ex5_DLMMU04_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n143.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
3.96388 seconds
cpu usage
3.75284
user time
2.90076
system time
0.85208
max virtual memory
707920.0
max residence set size
12840.0
stage attributes
key
value
starexec-result
YES
output
YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S XS:S Y:S YS:S) (RULES a__incr(cons(X:S,XS:S)) -> cons(s(mark(X:S)),incr(XS:S)) a__incr(X:S) -> incr(X:S) a__oddNs -> a__incr(a__pairNs) a__oddNs -> oddNs a__pairNs -> cons(0,incr(oddNs)) a__pairNs -> pairNs a__repItems(cons(X:S,XS:S)) -> cons(mark(X:S),cons(X:S,repItems(XS:S))) a__repItems(nil) -> nil a__repItems(X:S) -> repItems(X:S) a__tail(cons(X:S,XS:S)) -> mark(XS:S) a__tail(X:S) -> tail(X:S) a__take(0,XS:S) -> nil a__take(s(N:S),cons(X:S,XS:S)) -> cons(mark(X:S),take(N:S,XS:S)) a__take(X1:S,X2:S) -> take(X1:S,X2:S) a__zip(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(pair(mark(X:S),mark(Y:S)),zip(XS:S,YS:S)) a__zip(nil,XS:S) -> nil a__zip(X:S,nil) -> nil a__zip(X1:S,X2:S) -> zip(X1:S,X2:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nil) -> nil mark(oddNs) -> a__oddNs mark(pair(X1:S,X2:S)) -> pair(mark(X1:S),mark(X2:S)) mark(pairNs) -> a__pairNs mark(repItems(X:S)) -> a__repItems(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(take(X1:S,X2:S)) -> a__take(mark(X1:S),mark(X2:S)) mark(zip(X1:S,X2:S)) -> a__zip(mark(X1:S),mark(X2:S)) ) (STRATEGY INNERMOST) Problem 1: Dependency Pairs Processor: -> Pairs: A__INCR(cons(X:S,XS:S)) -> MARK(X:S) A__ODDNS -> A__INCR(a__pairNs) A__ODDNS -> A__PAIRNS A__REPITEMS(cons(X:S,XS:S)) -> MARK(X:S) A__TAIL(cons(X:S,XS:S)) -> MARK(XS:S) A__TAKE(s(N:S),cons(X:S,XS:S)) -> MARK(X:S) A__ZIP(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(X:S) A__ZIP(cons(X:S,XS:S),cons(Y:S,YS:S)) -> MARK(Y:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(incr(X:S)) -> A__INCR(mark(X:S)) MARK(incr(X:S)) -> MARK(X:S) MARK(oddNs) -> A__ODDNS MARK(pair(X1:S,X2:S)) -> MARK(X1:S) MARK(pair(X1:S,X2:S)) -> MARK(X2:S) MARK(pairNs) -> A__PAIRNS MARK(repItems(X:S)) -> A__REPITEMS(mark(X:S)) MARK(repItems(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(tail(X:S)) -> A__TAIL(mark(X:S)) MARK(tail(X:S)) -> MARK(X:S) MARK(take(X1:S,X2:S)) -> A__TAKE(mark(X1:S),mark(X2:S)) MARK(take(X1:S,X2:S)) -> MARK(X1:S) MARK(take(X1:S,X2:S)) -> MARK(X2:S) MARK(zip(X1:S,X2:S)) -> A__ZIP(mark(X1:S),mark(X2:S)) MARK(zip(X1:S,X2:S)) -> MARK(X1:S) MARK(zip(X1:S,X2:S)) -> MARK(X2:S) -> Rules: a__incr(cons(X:S,XS:S)) -> cons(s(mark(X:S)),incr(XS:S)) a__incr(X:S) -> incr(X:S) a__oddNs -> a__incr(a__pairNs) a__oddNs -> oddNs a__pairNs -> cons(0,incr(oddNs)) a__pairNs -> pairNs a__repItems(cons(X:S,XS:S)) -> cons(mark(X:S),cons(X:S,repItems(XS:S))) a__repItems(nil) -> nil a__repItems(X:S) -> repItems(X:S) a__tail(cons(X:S,XS:S)) -> mark(XS:S) a__tail(X:S) -> tail(X:S) a__take(0,XS:S) -> nil a__take(s(N:S),cons(X:S,XS:S)) -> cons(mark(X:S),take(N:S,XS:S)) a__take(X1:S,X2:S) -> take(X1:S,X2:S) a__zip(cons(X:S,XS:S),cons(Y:S,YS:S)) -> cons(pair(mark(X:S),mark(Y:S)),zip(XS:S,YS:S)) a__zip(nil,XS:S) -> nil a__zip(X:S,nil) -> nil a__zip(X1:S,X2:S) -> zip(X1:S,X2:S) mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(incr(X:S)) -> a__incr(mark(X:S)) mark(nil) -> nil mark(oddNs) -> a__oddNs mark(pair(X1:S,X2:S)) -> pair(mark(X1:S),mark(X2:S)) mark(pairNs) -> a__pairNs mark(repItems(X:S)) -> a__repItems(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(tail(X:S)) -> a__tail(mark(X:S)) mark(take(X1:S,X2:S)) -> a__take(mark(X1:S),mark(X2:S)) mark(zip(X1:S,X2:S)) -> a__zip(mark(X1:S),mark(X2:S))
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