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TRS Standard pair #516963316
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
n079.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.517968177795 seconds
cpu usage
0.472392877
max memory
1.0653696E7
stage attributes
key
value
output-size
103411
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- 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:
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