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TRS Standard pair #516963221
details
property
value
status
complete
benchmark
Ex9_BLR02_C.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.460733890533 seconds
cpu usage
0.346943352
max memory
8425472.0
stage attributes
key
value
output-size
75370
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(cons(X1:S,X2:S)) -> cons(active(X1:S),X2: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)) -> mark(cons(0,filter(Y:S,M:S,M:S))) active(filter(X1:S,X2:S,X3:S)) -> filter(active(X1:S),X2:S,X3:S) active(filter(X1:S,X2:S,X3:S)) -> filter(X1:S,active(X2:S),X3:S) active(filter(X1:S,X2:S,X3:S)) -> filter(X1:S,X2:S,active(X3:S)) active(nats(N:S)) -> mark(cons(N:S,nats(s(N:S)))) active(nats(X:S)) -> nats(active(X:S)) active(s(X:S)) -> s(active(X: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(sieve(X:S)) -> sieve(active(X:S)) active(zprimes) -> mark(sieve(nats(s(s(0))))) cons(mark(X1:S),X2:S) -> mark(cons(X1:S,X2:S)) cons(ok(X1:S),ok(X2:S)) -> ok(cons(X1:S,X2:S)) filter(mark(X1:S),X2:S,X3:S) -> mark(filter(X1:S,X2:S,X3:S)) filter(ok(X1:S),ok(X2:S),ok(X3:S)) -> ok(filter(X1:S,X2:S,X3:S)) filter(X1:S,mark(X2:S),X3:S) -> mark(filter(X1:S,X2:S,X3:S)) filter(X1:S,X2:S,mark(X3:S)) -> mark(filter(X1:S,X2:S,X3:S)) nats(mark(X:S)) -> mark(nats(X:S)) nats(ok(X:S)) -> ok(nats(X:S)) proper(cons(X1:S,X2:S)) -> cons(proper(X1:S),proper(X2:S)) proper(filter(X1:S,X2:S,X3:S)) -> filter(proper(X1:S),proper(X2:S),proper(X3:S)) proper(nats(X:S)) -> nats(proper(X:S)) proper(s(X:S)) -> s(proper(X:S)) proper(sieve(X:S)) -> sieve(proper(X:S)) proper(0) -> ok(0) proper(zprimes) -> ok(zprimes) s(mark(X:S)) -> mark(s(X:S)) s(ok(X:S)) -> ok(s(X:S)) sieve(mark(X:S)) -> mark(sieve(X:S)) sieve(ok(X:S)) -> ok(sieve(X:S)) top(mark(X:S)) -> top(proper(X:S)) top(ok(X:S)) -> top(active(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(cons(X1:S,X2:S)) -> ACTIVE(X1:S) ACTIVE(cons(X1:S,X2:S)) -> CONS(active(X1:S),X2:S) 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),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(X1:S,X2:S,X3:S)) -> ACTIVE(X1:S) ACTIVE(filter(X1:S,X2:S,X3:S)) -> ACTIVE(X2:S) ACTIVE(filter(X1:S,X2:S,X3:S)) -> ACTIVE(X3:S) ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(active(X1:S),X2:S,X3:S) ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,active(X2:S),X3:S) ACTIVE(filter(X1:S,X2:S,X3:S)) -> FILTER(X1:S,X2:S,active(X3:S)) ACTIVE(nats(N:S)) -> CONS(N:S,nats(s(N:S))) ACTIVE(nats(N:S)) -> NATS(s(N:S)) ACTIVE(nats(N:S)) -> S(N:S) ACTIVE(nats(X:S)) -> ACTIVE(X:S) ACTIVE(nats(X:S)) -> NATS(active(X:S)) ACTIVE(s(X:S)) -> ACTIVE(X:S) ACTIVE(s(X:S)) -> S(active(X: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))) -> 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))) -> SIEVE(Y:S) ACTIVE(sieve(X:S)) -> ACTIVE(X:S) ACTIVE(sieve(X:S)) -> SIEVE(active(X:S)) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(ok(X1:S),ok(X2:S)) -> CONS(X1:S,X2:S) FILTER(mark(X1:S),X2:S,X3:S) -> FILTER(X1:S,X2:S,X3:S) FILTER(ok(X1:S),ok(X2:S),ok(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,mark(X3:S)) -> FILTER(X1:S,X2:S,X3:S) NATS(mark(X:S)) -> NATS(X:S) NATS(ok(X:S)) -> NATS(X:S) PROPER(cons(X1:S,X2:S)) -> CONS(proper(X1:S),proper(X2:S)) PROPER(cons(X1:S,X2:S)) -> PROPER(X1:S) PROPER(cons(X1:S,X2:S)) -> PROPER(X2:S) PROPER(filter(X1:S,X2:S,X3:S)) -> FILTER(proper(X1:S),proper(X2:S),proper(X3:S)) PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X1:S) PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X2:S) PROPER(filter(X1:S,X2:S,X3:S)) -> PROPER(X3:S) PROPER(nats(X:S)) -> NATS(proper(X:S)) PROPER(nats(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> PROPER(X:S) PROPER(s(X:S)) -> S(proper(X:S)) PROPER(sieve(X:S)) -> PROPER(X:S) PROPER(sieve(X:S)) -> SIEVE(proper(X:S)) S(mark(X:S)) -> S(X:S)
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