details

property	value
status	complete
benchmark	Ex9_BLR02_iGM.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.458719 seconds
cpu usage	0.460436
user time	0.370245
system time	0.090191
max virtual memory	113188.0
max residence set size	13592.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S M:S N:S X:S X1:S X2:S X3:S Y:S) (RULES active(filter(cons(X:S,Y:S),s(N:S),M:S)) -> mark(cons(X:S,filter(Y:S,N:S,M:S))) active(filter(cons(X:S,Y:S),0,M:S)) -> mark(cons(0,filter(Y:S,M:S,M:S))) active(nats(N:S)) -> mark(cons(N:S,nats(s(N:S)))) active(sieve(cons(s(N:S),Y:S))) -> mark(cons(s(N:S),sieve(filter(Y:S,N:S,N:S)))) active(sieve(cons(0,Y:S))) -> mark(cons(0,sieve(Y:S))) active(zprimes) -> mark(sieve(nats(s(s(0))))) 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) filter(active(X1:S),X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) filter(mark(X1:S),X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) filter(X1:S,active(X2:S),X3:S) -> filter(X1:S,X2:S,X3:S) filter(X1:S,mark(X2:S),X3:S) -> filter(X1:S,X2:S,X3:S) filter(X1:S,X2:S,active(X3:S)) -> filter(X1:S,X2:S,X3:S) filter(X1:S,X2:S,mark(X3:S)) -> filter(X1:S,X2:S,X3:S) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(filter(X1:S,X2:S,X3:S)) -> active(filter(mark(X1:S),mark(X2:S),mark(X3:S))) mark(nats(X:S)) -> active(nats(mark(X:S))) mark(s(X:S)) -> active(s(mark(X:S))) mark(sieve(X:S)) -> active(sieve(mark(X:S))) mark(0) -> active(0) mark(zprimes) -> active(zprimes) nats(active(X:S)) -> nats(X:S) nats(mark(X:S)) -> nats(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) sieve(active(X:S)) -> sieve(X:S) sieve(mark(X:S)) -> sieve(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(filter(cons(X:S,Y:S),s(N:S),M:S)) -> CONS(X:S,filter(Y:S,N:S,M:S)) ACTIVE(filter(cons(X:S,Y:S),s(N:S),M:S)) -> FILTER(Y:S,N:S,M:S) ACTIVE(filter(cons(X:S,Y:S),s(N:S),M:S)) -> MARK(cons(X:S,filter(Y:S,N:S,M:S))) ACTIVE(filter(cons(X:S,Y:S),0,M:S)) -> CONS(0,filter(Y:S,M:S,M:S)) ACTIVE(filter(cons(X:S,Y:S),0,M:S)) -> FILTER(Y:S,M:S,M:S) ACTIVE(filter(cons(X:S,Y:S),0,M:S)) -> MARK(cons(0,filter(Y:S,M:S,M:S))) ACTIVE(nats(N:S)) -> CONS(N:S,nats(s(N:S))) ACTIVE(nats(N:S)) -> MARK(cons(N:S,nats(s(N:S)))) ACTIVE(nats(N:S)) -> NATS(s(N:S)) ACTIVE(nats(N:S)) -> S(N:S) ACTIVE(sieve(cons(s(N:S),Y:S))) -> CONS(s(N:S),sieve(filter(Y:S,N:S,N:S))) ACTIVE(sieve(cons(s(N:S),Y:S))) -> FILTER(Y:S,N:S,N:S) ACTIVE(sieve(cons(s(N:S),Y:S))) -> MARK(cons(s(N:S),sieve(filter(Y:S,N:S,N:S)))) ACTIVE(sieve(cons(s(N:S),Y:S))) -> SIEVE(filter(Y:S,N:S,N:S)) ACTIVE(sieve(cons(0,Y:S))) -> CONS(0,sieve(Y:S)) ACTIVE(sieve(cons(0,Y:S))) -> MARK(cons(0,sieve(Y:S))) ACTIVE(sieve(cons(0,Y:S))) -> SIEVE(Y:S) ACTIVE(zprimes) -> MARK(sieve(nats(s(s(0))))) 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) FILTER(active(X1:S),X2:S,X3:S) -> FILTER(X1:S,X2:S,X3:S) FILTER(mark(X1:S),X2:S,X3:S) -> FILTER(X1:S,X2:S,X3:S) FILTER(X1:S,active(X2:S),X3:S) -> FILTER(X1:S,X2:S,X3:S) FILTER(X1:S,mark(X2:S),X3:S) -> FILTER(X1:S,X2:S,X3:S) FILTER(X1:S,X2:S,active(X3:S)) -> FILTER(X1:S,X2:S,X3:S) FILTER(X1:S,X2:S,mark(X3:S)) -> FILTER(X1:S,X2:S,X3: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(filter(X1:S,X2:S,X3:S)) -> ACTIVE(filter(mark(X1:S),mark(X2:S),mark(X3:S))) MARK(filter(X1:S,X2:S,X3:S)) -> FILTER(mark(X1:S),mark(X2:S),mark(X3:S)) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X2:S) MARK(filter(X1:S,X2:S,X3:S)) -> MARK(X3:S) MARK(nats(X:S)) -> ACTIVE(nats(mark(X:S))) MARK(nats(X:S)) -> MARK(X:S) MARK(nats(X:S)) -> NATS(mark(X:S)) MARK(s(X:S)) -> ACTIVE(s(mark(X:S))) MARK(s(X:S)) -> MARK(X:S) MARK(s(X:S)) -> S(mark(X:S)) MARK(sieve(X:S)) -> ACTIVE(sieve(mark(X:S))) MARK(sieve(X:S)) -> MARK(X:S) MARK(sieve(X:S)) -> SIEVE(mark(X:S)) MARK(zprimes) -> ACTIVE(zprimes) NATS(active(X:S)) -> NATS(X:S) NATS(mark(X:S)) -> NATS(X:S) S(active(X:S)) -> S(X:S) S(mark(X:S)) -> S(X:S) SIEVE(active(X:S)) -> SIEVE(X:S) SIEVE(mark(X:S)) -> SIEVE(X:S) -> Rules: active(filter(cons(X:S,Y:S),s(N:S),M:S)) -> mark(cons(X:S,filter(Y:S,N:S,M:S))) active(filter(cons(X:S,Y:S),0,M:S)) -> mark(cons(0,filter(Y:S,M:S,M:S))) active(nats(N:S)) -> mark(cons(N:S,nats(s(N:S)))) active(sieve(cons(s(N:S),Y:S))) -> mark(cons(s(N:S),sieve(filter(Y:S,N:S,N:S)))) active(sieve(cons(0,Y:S))) -> mark(cons(0,sieve(Y:S))) active(zprimes) -> mark(sieve(nats(s(s(0))))) popout

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

job log

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actions

all output return to TRS Standard