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TRS Standard pair #516963391
details
property
value
status
complete
benchmark
Ex26_Luc03b_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n007.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
53.4528980255 seconds
cpu usage
53.149464775
max memory
1.20795136E8
stage attributes
key
value
output-size
26350
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 N:S X:S X1:S X2:S Y:S Z:S) (RULES activate(n__add(X1:S,X2:S)) -> add(X1:S,X2:S) activate(n__dbl(X:S)) -> dbl(X:S) activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__s(X:S)) -> s(X:S) activate(n__terms(X:S)) -> terms(X:S) activate(X:S) -> X:S add(s(X:S),Y:S) -> s(n__add(activate(X:S),Y:S)) add(0,X:S) -> X:S add(X1:S,X2:S) -> n__add(X1:S,X2:S) dbl(s(X:S)) -> s(n__s(n__dbl(activate(X:S)))) dbl(0) -> 0 dbl(X:S) -> n__dbl(X:S) first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(activate(X:S),activate(Z:S))) first(0,X:S) -> nil first(X1:S,X2:S) -> n__first(X1:S,X2:S) s(X:S) -> n__s(X:S) sqr(s(X:S)) -> s(n__add(sqr(activate(X:S)),dbl(activate(X:S)))) sqr(0) -> 0 terms(N:S) -> cons(recip(sqr(N:S)),n__terms(s(N:S))) terms(X:S) -> n__terms(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVATE(n__add(X1:S,X2:S)) -> ADD(X1:S,X2:S) ACTIVATE(n__dbl(X:S)) -> DBL(X:S) ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(X1:S,X2:S) ACTIVATE(n__s(X:S)) -> S(X:S) ACTIVATE(n__terms(X:S)) -> TERMS(X:S) ADD(s(X:S),Y:S) -> ACTIVATE(X:S) ADD(s(X:S),Y:S) -> S(n__add(activate(X:S),Y:S)) DBL(s(X:S)) -> ACTIVATE(X:S) DBL(s(X:S)) -> S(n__s(n__dbl(activate(X:S)))) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SQR(s(X:S)) -> ACTIVATE(X:S) SQR(s(X:S)) -> DBL(activate(X:S)) SQR(s(X:S)) -> S(n__add(sqr(activate(X:S)),dbl(activate(X:S)))) SQR(s(X:S)) -> SQR(activate(X:S)) TERMS(N:S) -> S(N:S) TERMS(N:S) -> SQR(N:S) -> Rules: activate(n__add(X1:S,X2:S)) -> add(X1:S,X2:S) activate(n__dbl(X:S)) -> dbl(X:S) activate(n__first(X1:S,X2:S)) -> first(X1:S,X2:S) activate(n__s(X:S)) -> s(X:S) activate(n__terms(X:S)) -> terms(X:S) activate(X:S) -> X:S add(s(X:S),Y:S) -> s(n__add(activate(X:S),Y:S)) add(0,X:S) -> X:S add(X1:S,X2:S) -> n__add(X1:S,X2:S) dbl(s(X:S)) -> s(n__s(n__dbl(activate(X:S)))) dbl(0) -> 0 dbl(X:S) -> n__dbl(X:S) first(s(X:S),cons(Y:S,Z:S)) -> cons(Y:S,n__first(activate(X:S),activate(Z:S))) first(0,X:S) -> nil first(X1:S,X2:S) -> n__first(X1:S,X2:S) s(X:S) -> n__s(X:S) sqr(s(X:S)) -> s(n__add(sqr(activate(X:S)),dbl(activate(X:S)))) sqr(0) -> 0 terms(N:S) -> cons(recip(sqr(N:S)),n__terms(s(N:S))) terms(X:S) -> n__terms(X:S) Problem 1: SCC Processor: -> Pairs: ACTIVATE(n__add(X1:S,X2:S)) -> ADD(X1:S,X2:S) ACTIVATE(n__dbl(X:S)) -> DBL(X:S) ACTIVATE(n__first(X1:S,X2:S)) -> FIRST(X1:S,X2:S) ACTIVATE(n__s(X:S)) -> S(X:S) ACTIVATE(n__terms(X:S)) -> TERMS(X:S) ADD(s(X:S),Y:S) -> ACTIVATE(X:S) ADD(s(X:S),Y:S) -> S(n__add(activate(X:S),Y:S)) DBL(s(X:S)) -> ACTIVATE(X:S) DBL(s(X:S)) -> S(n__s(n__dbl(activate(X:S)))) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(X:S) FIRST(s(X:S),cons(Y:S,Z:S)) -> ACTIVATE(Z:S) SQR(s(X:S)) -> ACTIVATE(X:S) SQR(s(X:S)) -> DBL(activate(X:S)) SQR(s(X:S)) -> S(n__add(sqr(activate(X:S)),dbl(activate(X:S)))) SQR(s(X:S)) -> SQR(activate(X:S)) TERMS(N:S) -> S(N:S) TERMS(N:S) -> SQR(N:S) -> Rules: activate(n__add(X1:S,X2:S)) -> add(X1:S,X2:S)
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