details

property	value
status	complete
benchmark	Ex26_Luc03b_FR.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)	179.55 seconds
cpu usage	174.315
user time	166.805
system time	7.51024
max virtual memory	840064.0
max residence set size	97792.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S Y:S Z:S) (RULES activate(n__add(X1:S,X2:S)) -> add(activate(X1:S),activate(X2:S)) activate(n__dbl(X:S)) -> dbl(activate(X:S)) activate(n__first(X1:S,X2:S)) -> first(activate(X1:S),activate(X2:S)) activate(n__s(X:S)) -> s(X:S) activate(n__sqr(X:S)) -> sqr(activate(X:S)) activate(n__terms(X:S)) -> terms(activate(X:S)) activate(X:S) -> X:S add(s(X:S),Y:S) -> s(n__add(activate(X:S),Y:S)) add(0,X:S) -> X:S add(X1:S,X2:S) -> n__add(X1:S,X2:S) dbl(s(X:S)) -> s(n__s(n__dbl(activate(X:S)))) dbl(0) -> 0 dbl(X:S) -> n__dbl(X:S) first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(activate(X:S),activate(Z:S))) first(0,X:S) -> nil first(X1:S,X2:S) -> n__first(X1:S,X2:S) s(X:S) -> n__s(X:S) sqr(s(X:S)) -> s(n__add(n__sqr(activate(X:S)),n__dbl(activate(X:S)))) sqr(0) -> 0 sqr(X:S) -> n__sqr(X:S) terms(N:S) -> cons(recip(sqr(N:S)),n__terms(n__s(N:S))) terms(X:S) -> n__terms(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__add(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__add(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__add(X1:S,X2:S)) -> ADD(activate(X1:S),activate(X2:S)) ACTIVATE(n__dbl(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__dbl(X:S)) -> DBL(activate(X:S)) ACTIVATE(n__first(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__first(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(activate(X1:S),activate(X2:S)) ACTIVATE(n__s(X:S)) -> S(X:S) ACTIVATE(n__sqr(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__sqr(X:S)) -> SQR(activate(X:S)) ACTIVATE(n__terms(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__terms(X:S)) -> TERMS(activate(X:S)) ADD(s(X:S),Y:S) -> ACTIVATE(X:S) ADD(s(X:S),Y:S) -> S(n__add(activate(X:S),Y:S)) DBL(s(X:S)) -> ACTIVATE(X:S) DBL(s(X:S)) -> S(n__s(n__dbl(activate(X:S)))) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SQR(s(X:S)) -> ACTIVATE(X:S) SQR(s(X:S)) -> S(n__add(n__sqr(activate(X:S)),n__dbl(activate(X:S)))) TERMS(N:S) -> SQR(N:S) -> Rules: activate(n__add(X1:S,X2:S)) -> add(activate(X1:S),activate(X2:S)) activate(n__dbl(X:S)) -> dbl(activate(X:S)) activate(n__first(X1:S,X2:S)) -> first(activate(X1:S),activate(X2:S)) activate(n__s(X:S)) -> s(X:S) activate(n__sqr(X:S)) -> sqr(activate(X:S)) activate(n__terms(X:S)) -> terms(activate(X:S)) activate(X:S) -> X:S add(s(X:S),Y:S) -> s(n__add(activate(X:S),Y:S)) add(0,X:S) -> X:S add(X1:S,X2:S) -> n__add(X1:S,X2:S) dbl(s(X:S)) -> s(n__s(n__dbl(activate(X:S)))) dbl(0) -> 0 dbl(X:S) -> n__dbl(X:S) first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(activate(X:S),activate(Z:S))) first(0,X:S) -> nil first(X1:S,X2:S) -> n__first(X1:S,X2:S) s(X:S) -> n__s(X:S) sqr(s(X:S)) -> s(n__add(n__sqr(activate(X:S)),n__dbl(activate(X:S)))) sqr(0) -> 0 sqr(X:S) -> n__sqr(X:S) terms(N:S) -> cons(recip(sqr(N:S)),n__terms(n__s(N:S))) terms(X:S) -> n__terms(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__add(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__add(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__add(X1:S,X2:S)) -> ADD(activate(X1:S),activate(X2:S)) ACTIVATE(n__dbl(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__dbl(X:S)) -> DBL(activate(X:S)) ACTIVATE(n__first(X1:S,X2:S)) -> ACTIVATE(X1:S) ACTIVATE(n__first(X1:S,X2:S)) -> ACTIVATE(X2:S) ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(activate(X1:S),activate(X2:S)) ACTIVATE(n__s(X:S)) -> S(X:S) ACTIVATE(n__sqr(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__sqr(X:S)) -> SQR(activate(X:S)) ACTIVATE(n__terms(X:S)) -> ACTIVATE(X:S) ACTIVATE(n__terms(X:S)) -> TERMS(activate(X:S)) ADD(s(X:S),Y:S) -> ACTIVATE(X:S) ADD(s(X:S),Y:S) -> S(n__add(activate(X:S),Y:S)) DBL(s(X:S)) -> ACTIVATE(X:S) popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Standard