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TRS Standard pair #516961616
details
property
value
status
complete
benchmark
Ex9_BLR02_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.281273841858 seconds
cpu usage
0.183420254
max memory
6754304.0
stage attributes
key
value
output-size
22667
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 a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0)))) a__zprimes -> zprimes mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(filter(X1:S,X2:S,X3:S)) -> a__filter(mark(X1:S),mark(X2:S),mark(X3:S)) mark(nats(X:S)) -> a__nats(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sieve(X:S)) -> a__sieve(mark(X:S)) mark(zprimes) -> a__zprimes ) Problem 1: Dependency Pairs Processor: -> Pairs: A__FILTER(cons(X:S,Y:S),s(N:S),M:S) -> MARK(X:S) A__NATS(N:S) -> MARK(N:S) A__SIEVE(cons(s(N:S),Y:S)) -> MARK(N:S) A__ZPRIMES -> A__NATS(s(s(0))) A__ZPRIMES -> A__SIEVE(a__nats(s(s(0)))) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> A__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)) -> A__NATS(mark(X:S)) MARK(nats(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(sieve(X:S)) -> A__SIEVE(mark(X:S)) MARK(sieve(X:S)) -> MARK(X:S) MARK(zprimes) -> A__ZPRIMES -> Rules: a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0)))) a__zprimes -> zprimes mark(0) -> 0 mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(filter(X1:S,X2:S,X3:S)) -> a__filter(mark(X1:S),mark(X2:S),mark(X3:S)) mark(nats(X:S)) -> a__nats(mark(X:S)) mark(s(X:S)) -> s(mark(X:S)) mark(sieve(X:S)) -> a__sieve(mark(X:S)) mark(zprimes) -> a__zprimes Problem 1: SCC Processor: -> Pairs: A__FILTER(cons(X:S,Y:S),s(N:S),M:S) -> MARK(X:S) A__NATS(N:S) -> MARK(N:S) A__SIEVE(cons(s(N:S),Y:S)) -> MARK(N:S) A__ZPRIMES -> A__NATS(s(s(0))) A__ZPRIMES -> A__SIEVE(a__nats(s(s(0)))) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(filter(X1:S,X2:S,X3:S)) -> A__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)) -> A__NATS(mark(X:S)) MARK(nats(X:S)) -> MARK(X:S) MARK(s(X:S)) -> MARK(X:S) MARK(sieve(X:S)) -> A__SIEVE(mark(X:S)) MARK(sieve(X:S)) -> MARK(X:S) MARK(zprimes) -> A__ZPRIMES -> Rules: a__filter(cons(X:S,Y:S),0,M:S) -> cons(0,filter(Y:S,M:S,M:S)) a__filter(cons(X:S,Y:S),s(N:S),M:S) -> cons(mark(X:S),filter(Y:S,N:S,M:S)) a__filter(X1:S,X2:S,X3:S) -> filter(X1:S,X2:S,X3:S) a__nats(N:S) -> cons(mark(N:S),nats(s(N:S))) a__nats(X:S) -> nats(X:S) a__sieve(cons(0,Y:S)) -> cons(0,sieve(Y:S)) a__sieve(cons(s(N:S),Y:S)) -> cons(s(mark(N:S)),sieve(filter(Y:S,N:S,N:S))) a__sieve(X:S) -> sieve(X:S) a__zprimes -> a__sieve(a__nats(s(s(0))))
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