details

property	value
status	complete
benchmark	Ex2_Luc02a_GM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n191.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	183.409 seconds
cpu usage	177.558
user time	165.678
system time	11.8802
max virtual memory	845916.0
max residence set size	123900.0

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 a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(a__add(mark(X:S),mark(Y:S))) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__dbl(0) -> 0 a__dbl(s(X:S)) -> s(s(a__dbl(mark(X:S)))) a__dbl(X:S) -> dbl(X:S) a__first(0,X:S) -> nil a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) a__first(X1:S,X2:S) -> first(X1:S,X2:S) a__sqr(0) -> 0 a__sqr(s(X:S)) -> s(a__add(a__sqr(mark(X:S)),a__dbl(mark(X:S)))) a__sqr(X:S) -> sqr(X:S) a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) a__terms(X:S) -> terms(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(dbl(X:S)) -> a__dbl(mark(X:S)) mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) mark(nil) -> nil mark(recip(X:S)) -> recip(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sqr(X:S)) -> a__sqr(mark(X:S)) mark(terms(X:S)) -> a__terms(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__ADD(s(X:S),Y:S) -> A__ADD(mark(X:S),mark(Y:S)) A__ADD(s(X:S),Y:S) -> MARK(X:S) A__ADD(s(X:S),Y:S) -> MARK(Y:S) A__DBL(s(X:S)) -> A__DBL(mark(X:S)) A__DBL(s(X:S)) -> MARK(X:S) A__FIRST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) A__SQR(s(X:S)) -> A__ADD(a__sqr(mark(X:S)),a__dbl(mark(X:S))) A__SQR(s(X:S)) -> A__DBL(mark(X:S)) A__SQR(s(X:S)) -> A__SQR(mark(X:S)) A__SQR(s(X:S)) -> MARK(X:S) A__TERMS(N:S) -> A__SQR(mark(N:S)) A__TERMS(N:S) -> MARK(N:S) MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) MARK(add(X1:S,X2:S)) -> MARK(X1:S) MARK(add(X1:S,X2:S)) -> MARK(X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(dbl(X:S)) -> A__DBL(mark(X:S)) MARK(dbl(X:S)) -> MARK(X:S) MARK(first(X1:S,X2:S)) -> A__FIRST(mark(X1:S),mark(X2:S)) MARK(first(X1:S,X2:S)) -> MARK(X1:S) MARK(first(X1:S,X2:S)) -> MARK(X2:S) MARK(recip(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(sqr(X:S)) -> A__SQR(mark(X:S)) MARK(sqr(X:S)) -> MARK(X:S) MARK(terms(X:S)) -> A__TERMS(mark(X:S)) MARK(terms(X:S)) -> MARK(X:S) -> Rules: a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(a__add(mark(X:S),mark(Y:S))) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__dbl(0) -> 0 a__dbl(s(X:S)) -> s(s(a__dbl(mark(X:S)))) a__dbl(X:S) -> dbl(X:S) a__first(0,X:S) -> nil a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) a__first(X1:S,X2:S) -> first(X1:S,X2:S) a__sqr(0) -> 0 a__sqr(s(X:S)) -> s(a__add(a__sqr(mark(X:S)),a__dbl(mark(X:S)))) a__sqr(X:S) -> sqr(X:S) a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) a__terms(X:S) -> terms(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(dbl(X:S)) -> a__dbl(mark(X:S)) mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) mark(nil) -> nil mark(recip(X:S)) -> recip(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sqr(X:S)) -> a__sqr(mark(X:S)) mark(terms(X:S)) -> a__terms(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__ADD(s(X:S),Y:S) -> A__ADD(mark(X:S),mark(Y:S)) A__ADD(s(X:S),Y:S) -> MARK(X:S) A__ADD(s(X:S),Y:S) -> MARK(Y:S) A__DBL(s(X:S)) -> A__DBL(mark(X:S)) A__DBL(s(X:S)) -> MARK(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