details

property	value
status	complete
benchmark	Ex26_Luc03b_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.58089 seconds
cpu usage	0.58267
user time	0.481384
system time	0.101286
max virtual memory	459040.0
max residence set size	17852.0

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 active(add(s(X:S),Y:S)) -> mark(s(add(X:S,Y:S))) active(add(0,X:S)) -> mark(X:S) active(dbl(s(X:S))) -> mark(s(s(dbl(X:S)))) active(dbl(0)) -> mark(0) active(first(s(X:S),cons(Y:S,Z:S))) -> mark(cons(Y:S,first(X:S,Z:S))) active(first(0,X:S)) -> mark(nil) active(sqr(s(X:S))) -> mark(s(add(sqr(X:S),dbl(X:S)))) active(sqr(0)) -> mark(0) active(terms(N:S)) -> mark(cons(recip(sqr(N:S)),terms(s(N:S)))) add(active(X1:S),X2:S) -> add(X1:S,X2:S) add(mark(X1:S),X2:S) -> add(X1:S,X2:S) add(X1:S,active(X2:S)) -> add(X1:S,X2:S) add(X1:S,mark(X2:S)) -> add(X1:S,X2:S) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) dbl(active(X:S)) -> dbl(X:S) dbl(mark(X:S)) -> dbl(X:S) first(active(X1:S),X2:S) -> first(X1:S,X2:S) first(mark(X1:S),X2:S) -> first(X1:S,X2:S) first(X1:S,active(X2:S)) -> first(X1:S,X2:S) first(X1:S,mark(X2:S)) -> first(X1:S,X2:S) mark(add(X1:S,X2:S)) -> active(add(mark(X1:S),mark(X2:S))) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(dbl(X:S)) -> active(dbl(mark(X:S))) mark(first(X1:S,X2:S)) -> active(first(mark(X1:S),mark(X2:S))) mark(recip(X:S)) -> active(recip(mark(X:S))) mark(s(X:S)) -> active(s(X:S)) mark(sqr(X:S)) -> active(sqr(mark(X:S))) mark(terms(X:S)) -> active(terms(mark(X:S))) mark(0) -> active(0) mark(nil) -> active(nil) recip(active(X:S)) -> recip(X:S) recip(mark(X:S)) -> recip(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) sqr(active(X:S)) -> sqr(X:S) sqr(mark(X:S)) -> sqr(X:S) terms(active(X:S)) -> terms(X:S) terms(mark(X:S)) -> terms(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(add(s(X:S),Y:S)) -> ADD(X:S,Y:S) ACTIVE(add(s(X:S),Y:S)) -> MARK(s(add(X:S,Y:S))) ACTIVE(add(s(X:S),Y:S)) -> S(add(X:S,Y:S)) ACTIVE(add(0,X:S)) -> MARK(X:S) ACTIVE(dbl(s(X:S))) -> DBL(X:S) ACTIVE(dbl(s(X:S))) -> MARK(s(s(dbl(X:S)))) ACTIVE(dbl(s(X:S))) -> S(dbl(X:S)) ACTIVE(dbl(s(X:S))) -> S(s(dbl(X:S))) ACTIVE(dbl(0)) -> MARK(0) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> CONS(Y:S,first(X:S,Z:S)) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> FIRST(X:S,Z:S) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> MARK(cons(Y:S,first(X:S,Z:S))) ACTIVE(first(0,X:S)) -> MARK(nil) ACTIVE(sqr(s(X:S))) -> ADD(sqr(X:S),dbl(X:S)) ACTIVE(sqr(s(X:S))) -> DBL(X:S) ACTIVE(sqr(s(X:S))) -> MARK(s(add(sqr(X:S),dbl(X:S)))) ACTIVE(sqr(s(X:S))) -> S(add(sqr(X:S),dbl(X:S))) ACTIVE(sqr(s(X:S))) -> SQR(X:S) ACTIVE(sqr(0)) -> MARK(0) ACTIVE(terms(N:S)) -> CONS(recip(sqr(N:S)),terms(s(N:S))) ACTIVE(terms(N:S)) -> MARK(cons(recip(sqr(N:S)),terms(s(N:S)))) ACTIVE(terms(N:S)) -> RECIP(sqr(N:S)) ACTIVE(terms(N:S)) -> S(N:S) ACTIVE(terms(N:S)) -> SQR(N:S) ACTIVE(terms(N:S)) -> TERMS(s(N:S)) ADD(active(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(mark(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(X1:S,active(X2:S)) -> ADD(X1:S,X2:S) ADD(X1:S,mark(X2:S)) -> ADD(X1:S,X2:S) CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) DBL(active(X:S)) -> DBL(X:S) DBL(mark(X:S)) -> DBL(X:S) FIRST(active(X1:S),X2:S) -> FIRST(X1:S,X2:S) FIRST(mark(X1:S),X2:S) -> FIRST(X1:S,X2:S) FIRST(X1:S,active(X2:S)) -> FIRST(X1:S,X2:S) FIRST(X1:S,mark(X2:S)) -> FIRST(X1:S,X2:S) MARK(add(X1:S,X2:S)) -> ACTIVE(add(mark(X1:S),mark(X2:S))) MARK(add(X1:S,X2:S)) -> 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)) -> ACTIVE(cons(mark(X1:S),X2:S)) MARK(cons(X1:S,X2:S)) -> CONS(mark(X1:S),X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(dbl(X:S)) -> ACTIVE(dbl(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