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TRS Standard pair #516962466
details
property
value
status
complete
benchmark
Ex26_Luc03b_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n169.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.28290605545 seconds
cpu usage
0.20478509
max memory
6758400.0
stage attributes
key
value
output-size
24402
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR v_NonEmpty:S N:S X:S X1:S X2:S Y:S Z:S) (RULES a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(add(X:S,Y:S)) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__dbl(0) -> 0 a__dbl(s(X:S)) -> s(s(dbl(X:S))) a__dbl(X:S) -> dbl(X:S) a__first(0,X:S) -> nil a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) a__first(X1:S,X2:S) -> first(X1:S,X2:S) a__sqr(0) -> 0 a__sqr(s(X:S)) -> s(add(sqr(X:S),dbl(X:S))) a__sqr(X:S) -> sqr(X:S) a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) a__terms(X:S) -> terms(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(dbl(X:S)) -> a__dbl(mark(X:S)) mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) mark(nil) -> nil mark(recip(X:S)) -> recip(mark(X:S)) mark(s(X:S)) -> s(X:S) mark(sqr(X:S)) -> a__sqr(mark(X:S)) mark(terms(X:S)) -> a__terms(mark(X:S)) ) Problem 1: Dependency Pairs Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__FIRST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) A__TERMS(N:S) -> A__SQR(mark(N:S)) A__TERMS(N:S) -> MARK(N:S) MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) MARK(add(X1:S,X2:S)) -> MARK(X1:S) MARK(add(X1:S,X2:S)) -> MARK(X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(dbl(X:S)) -> A__DBL(mark(X:S)) MARK(dbl(X:S)) -> MARK(X:S) MARK(first(X1:S,X2:S)) -> A__FIRST(mark(X1:S),mark(X2:S)) MARK(first(X1:S,X2:S)) -> MARK(X1:S) MARK(first(X1:S,X2:S)) -> MARK(X2:S) MARK(recip(X:S)) -> MARK(X:S) MARK(sqr(X:S)) -> A__SQR(mark(X:S)) MARK(sqr(X:S)) -> MARK(X:S) MARK(terms(X:S)) -> A__TERMS(mark(X:S)) MARK(terms(X:S)) -> MARK(X:S) -> Rules: a__add(0,X:S) -> mark(X:S) a__add(s(X:S),Y:S) -> s(add(X:S,Y:S)) a__add(X1:S,X2:S) -> add(X1:S,X2:S) a__dbl(0) -> 0 a__dbl(s(X:S)) -> s(s(dbl(X:S))) a__dbl(X:S) -> dbl(X:S) a__first(0,X:S) -> nil a__first(s(X:S),cons(Y:S,Z:S)) -> cons(mark(Y:S),first(X:S,Z:S)) a__first(X1:S,X2:S) -> first(X1:S,X2:S) a__sqr(0) -> 0 a__sqr(s(X:S)) -> s(add(sqr(X:S),dbl(X:S))) a__sqr(X:S) -> sqr(X:S) a__terms(N:S) -> cons(recip(a__sqr(mark(N:S))),terms(s(N:S))) a__terms(X:S) -> terms(X:S) mark(0) -> 0 mark(add(X1:S,X2:S)) -> a__add(mark(X1:S),mark(X2:S)) mark(cons(X1:S,X2:S)) -> cons(mark(X1:S),X2:S) mark(dbl(X:S)) -> a__dbl(mark(X:S)) mark(first(X1:S,X2:S)) -> a__first(mark(X1:S),mark(X2:S)) mark(nil) -> nil mark(recip(X:S)) -> recip(mark(X:S)) mark(s(X:S)) -> s(X:S) mark(sqr(X:S)) -> a__sqr(mark(X:S)) mark(terms(X:S)) -> a__terms(mark(X:S)) Problem 1: SCC Processor: -> Pairs: A__ADD(0,X:S) -> MARK(X:S) A__FIRST(s(X:S),cons(Y:S,Z:S)) -> MARK(Y:S) A__TERMS(N:S) -> A__SQR(mark(N:S)) A__TERMS(N:S) -> MARK(N:S) MARK(add(X1:S,X2:S)) -> A__ADD(mark(X1:S),mark(X2:S)) MARK(add(X1:S,X2:S)) -> MARK(X1:S) MARK(add(X1:S,X2:S)) -> MARK(X2:S) MARK(cons(X1:S,X2:S)) -> MARK(X1:S) MARK(dbl(X:S)) -> A__DBL(mark(X:S)) MARK(dbl(X:S)) -> MARK(X:S)
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