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TRS Stand 20472 pair #381715194
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
n111.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.17+nonreach
configuration
ttt2-1.17+nonreach
runtime (wallclock)
5.24127388 seconds
cpu usage
19.09740824
max memory
9.15283968E8
stage attributes
key
value
output-size
34017
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem: terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) sqr(0()) -> 0() sqr(s(X)) -> s(n__add(sqr(activate(X)),dbl(activate(X)))) dbl(0()) -> 0() dbl(s(X)) -> s(n__s(n__dbl(activate(X)))) add(0(),X) -> X add(s(X),Y) -> s(n__add(activate(X),Y)) first(0(),X) -> nil() first(s(X),cons(Y,Z)) -> cons(Y,n__first(activate(X),activate(Z))) terms(X) -> n__terms(X) add(X1,X2) -> n__add(X1,X2) s(X) -> n__s(X) dbl(X) -> n__dbl(X) first(X1,X2) -> n__first(X1,X2) activate(n__terms(X)) -> terms(X) activate(n__add(X1,X2)) -> add(X1,X2) activate(n__s(X)) -> s(X) activate(n__dbl(X)) -> dbl(X) activate(n__first(X1,X2)) -> first(X1,X2) activate(X) -> X Proof: DP Processor: DPs: terms#(N) -> s#(N) terms#(N) -> sqr#(N) sqr#(s(X)) -> dbl#(activate(X)) sqr#(s(X)) -> activate#(X) sqr#(s(X)) -> sqr#(activate(X)) sqr#(s(X)) -> s#(n__add(sqr(activate(X)),dbl(activate(X)))) dbl#(s(X)) -> activate#(X) dbl#(s(X)) -> s#(n__s(n__dbl(activate(X)))) add#(s(X),Y) -> activate#(X) add#(s(X),Y) -> s#(n__add(activate(X),Y)) first#(s(X),cons(Y,Z)) -> activate#(Z) first#(s(X),cons(Y,Z)) -> activate#(X) activate#(n__terms(X)) -> terms#(X) activate#(n__add(X1,X2)) -> add#(X1,X2) activate#(n__s(X)) -> s#(X) activate#(n__dbl(X)) -> dbl#(X) activate#(n__first(X1,X2)) -> first#(X1,X2) TRS: terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) sqr(0()) -> 0() sqr(s(X)) -> s(n__add(sqr(activate(X)),dbl(activate(X)))) dbl(0()) -> 0() dbl(s(X)) -> s(n__s(n__dbl(activate(X)))) add(0(),X) -> X add(s(X),Y) -> s(n__add(activate(X),Y)) first(0(),X) -> nil() first(s(X),cons(Y,Z)) -> cons(Y,n__first(activate(X),activate(Z))) terms(X) -> n__terms(X) add(X1,X2) -> n__add(X1,X2) s(X) -> n__s(X) dbl(X) -> n__dbl(X) first(X1,X2) -> n__first(X1,X2) activate(n__terms(X)) -> terms(X) activate(n__add(X1,X2)) -> add(X1,X2) activate(n__s(X)) -> s(X) activate(n__dbl(X)) -> dbl(X) activate(n__first(X1,X2)) -> first(X1,X2) activate(X) -> X TDG Processor: DPs: terms#(N) -> s#(N) terms#(N) -> sqr#(N) sqr#(s(X)) -> dbl#(activate(X)) sqr#(s(X)) -> activate#(X) sqr#(s(X)) -> sqr#(activate(X)) sqr#(s(X)) -> s#(n__add(sqr(activate(X)),dbl(activate(X)))) dbl#(s(X)) -> activate#(X) dbl#(s(X)) -> s#(n__s(n__dbl(activate(X)))) add#(s(X),Y) -> activate#(X) add#(s(X),Y) -> s#(n__add(activate(X),Y)) first#(s(X),cons(Y,Z)) -> activate#(Z) first#(s(X),cons(Y,Z)) -> activate#(X) activate#(n__terms(X)) -> terms#(X) activate#(n__add(X1,X2)) -> add#(X1,X2) activate#(n__s(X)) -> s#(X) activate#(n__dbl(X)) -> dbl#(X) activate#(n__first(X1,X2)) -> first#(X1,X2) TRS: terms(N) -> cons(recip(sqr(N)),n__terms(s(N))) sqr(0()) -> 0() sqr(s(X)) -> s(n__add(sqr(activate(X)),dbl(activate(X)))) dbl(0()) -> 0() dbl(s(X)) -> s(n__s(n__dbl(activate(X)))) add(0(),X) -> X add(s(X),Y) -> s(n__add(activate(X),Y)) first(0(),X) -> nil() first(s(X),cons(Y,Z)) -> cons(Y,n__first(activate(X),activate(Z)))
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