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TRS Context Sensitive pair #516978774
details
property
value
status
complete
benchmark
Ex9_BLR02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0763611793518 seconds
cpu usage
0.018565659
max memory
1605632.0
stage attributes
key
value
output-size
1967
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 M N X Y) (STRATEGY CONTEXTSENSITIVE (filter 1 2 3) (nats 1) (sieve 1) (zprimes) (0) (cons 1) (s 1) ) (RULES filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) ) Problem 1: Innermost Equivalent Processor: -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> The context-sensitive term rewriting system is an orthogonal system. Therefore, innermost cs-termination implies cs-termination. Problem 1: Dependency Pairs Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> Unhiding Rules: Empty Problem 1: SCC Processor: -> Pairs: ZPRIMES -> NATS(s(s(0))) ZPRIMES -> SIEVE(nats(s(s(0)))) -> Rules: filter(cons(X,Y),0,M) -> cons(0,filter(Y,M,M)) filter(cons(X,Y),s(N),M) -> cons(X,filter(Y,N,M)) nats(N) -> cons(N,nats(s(N))) sieve(cons(0,Y)) -> cons(0,sieve(Y)) sieve(cons(s(N),Y)) -> cons(s(N),sieve(filter(Y,N,N))) zprimes -> sieve(nats(s(s(0)))) -> Unhiding rules: Empty ->Strongly Connected Components: There is no strongly connected component The problem is finite.
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