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TRS Standard pair #516961241
details
property
value
status
complete
benchmark
Ex26_Luc03b_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n068.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
muterm 6.0.3
configuration
default
runtime (wallclock)
0.576330184937 seconds
cpu usage
0.58555182
max memory
1.1567104E7
stage attributes
key
value
output-size
136067
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 active(add(s(X:S),Y:S)) -> mark(s(add(X:S,Y:S))) active(add(0,X:S)) -> mark(X:S) active(dbl(s(X:S))) -> mark(s(s(dbl(X:S)))) active(dbl(0)) -> mark(0) active(first(s(X:S),cons(Y:S,Z:S))) -> mark(cons(Y:S,first(X:S,Z:S))) active(first(0,X:S)) -> mark(nil) active(sqr(s(X:S))) -> mark(s(add(sqr(X:S),dbl(X:S)))) active(sqr(0)) -> mark(0) active(terms(N:S)) -> mark(cons(recip(sqr(N:S)),terms(s(N:S)))) add(active(X1:S),X2:S) -> add(X1:S,X2:S) add(mark(X1:S),X2:S) -> add(X1:S,X2:S) add(X1:S,active(X2:S)) -> add(X1:S,X2:S) add(X1:S,mark(X2:S)) -> add(X1:S,X2:S) cons(active(X1:S),X2:S) -> cons(X1:S,X2:S) cons(mark(X1:S),X2:S) -> cons(X1:S,X2:S) cons(X1:S,active(X2:S)) -> cons(X1:S,X2:S) cons(X1:S,mark(X2:S)) -> cons(X1:S,X2:S) dbl(active(X:S)) -> dbl(X:S) dbl(mark(X:S)) -> dbl(X:S) first(active(X1:S),X2:S) -> first(X1:S,X2:S) first(mark(X1:S),X2:S) -> first(X1:S,X2:S) first(X1:S,active(X2:S)) -> first(X1:S,X2:S) first(X1:S,mark(X2:S)) -> first(X1:S,X2:S) mark(add(X1:S,X2:S)) -> active(add(mark(X1:S),mark(X2:S))) mark(cons(X1:S,X2:S)) -> active(cons(mark(X1:S),X2:S)) mark(dbl(X:S)) -> active(dbl(mark(X:S))) mark(first(X1:S,X2:S)) -> active(first(mark(X1:S),mark(X2:S))) mark(recip(X:S)) -> active(recip(mark(X:S))) mark(s(X:S)) -> active(s(X:S)) mark(sqr(X:S)) -> active(sqr(mark(X:S))) mark(terms(X:S)) -> active(terms(mark(X:S))) mark(0) -> active(0) mark(nil) -> active(nil) recip(active(X:S)) -> recip(X:S) recip(mark(X:S)) -> recip(X:S) s(active(X:S)) -> s(X:S) s(mark(X:S)) -> s(X:S) sqr(active(X:S)) -> sqr(X:S) sqr(mark(X:S)) -> sqr(X:S) terms(active(X:S)) -> terms(X:S) terms(mark(X:S)) -> terms(X:S) ) Problem 1: Dependency Pairs Processor: -> Pairs: ACTIVE(add(s(X:S),Y:S)) -> ADD(X:S,Y:S) ACTIVE(add(s(X:S),Y:S)) -> MARK(s(add(X:S,Y:S))) ACTIVE(add(s(X:S),Y:S)) -> S(add(X:S,Y:S)) ACTIVE(add(0,X:S)) -> MARK(X:S) ACTIVE(dbl(s(X:S))) -> DBL(X:S) ACTIVE(dbl(s(X:S))) -> MARK(s(s(dbl(X:S)))) ACTIVE(dbl(s(X:S))) -> S(dbl(X:S)) ACTIVE(dbl(s(X:S))) -> S(s(dbl(X:S))) ACTIVE(dbl(0)) -> MARK(0) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> CONS(Y:S,first(X:S,Z:S)) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> FIRST(X:S,Z:S) ACTIVE(first(s(X:S),cons(Y:S,Z:S))) -> MARK(cons(Y:S,first(X:S,Z:S))) ACTIVE(first(0,X:S)) -> MARK(nil) ACTIVE(sqr(s(X:S))) -> ADD(sqr(X:S),dbl(X:S)) ACTIVE(sqr(s(X:S))) -> DBL(X:S) ACTIVE(sqr(s(X:S))) -> MARK(s(add(sqr(X:S),dbl(X:S)))) ACTIVE(sqr(s(X:S))) -> S(add(sqr(X:S),dbl(X:S))) ACTIVE(sqr(s(X:S))) -> SQR(X:S) ACTIVE(sqr(0)) -> MARK(0) ACTIVE(terms(N:S)) -> CONS(recip(sqr(N:S)),terms(s(N:S))) ACTIVE(terms(N:S)) -> MARK(cons(recip(sqr(N:S)),terms(s(N:S)))) ACTIVE(terms(N:S)) -> RECIP(sqr(N:S)) ACTIVE(terms(N:S)) -> S(N:S) ACTIVE(terms(N:S)) -> SQR(N:S) ACTIVE(terms(N:S)) -> TERMS(s(N:S)) ADD(active(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(mark(X1:S),X2:S) -> ADD(X1:S,X2:S) ADD(X1:S,active(X2:S)) -> ADD(X1:S,X2:S) ADD(X1:S,mark(X2:S)) -> ADD(X1:S,X2:S) CONS(active(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(mark(X1:S),X2:S) -> CONS(X1:S,X2:S) CONS(X1:S,active(X2:S)) -> CONS(X1:S,X2:S) CONS(X1:S,mark(X2:S)) -> CONS(X1:S,X2:S) DBL(active(X:S)) -> DBL(X:S) DBL(mark(X:S)) -> DBL(X:S) FIRST(active(X1:S),X2:S) -> FIRST(X1:S,X2:S) FIRST(mark(X1:S),X2:S) -> FIRST(X1:S,X2:S) FIRST(X1:S,active(X2:S)) -> FIRST(X1:S,X2:S) FIRST(X1:S,mark(X2:S)) -> FIRST(X1:S,X2:S) MARK(add(X1:S,X2:S)) -> ACTIVE(add(mark(X1:S),mark(X2:S))) MARK(add(X1:S,X2:S)) -> ADD(mark(X1:S),mark(X2:S))
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