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TRS Standard pair #487070702
details
property
value
status
complete
benchmark
ExIntrod_GM99_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n186.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
24.1731 seconds
cpu usage
92.4356
user time
83.8389
system time
8.59673
max virtual memory
6540228.0
max residence set size
255572.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: a__primes() -> a__sieve(a__from(s(s(0())))) a__from(X) -> cons(mark(X),from(s(X))) a__head(cons(X,Y)) -> mark(X) a__tail(cons(X,Y)) -> mark(Y) a__if(true(),X,Y) -> mark(X) a__if(false(),X,Y) -> mark(Y) a__filter(s(s(X)),cons(Y,Z)) -> a__if(divides(s(s(mark(X))),mark(Y)),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y)))) a__sieve(cons(X,Y)) -> cons(mark(X),filter(X,sieve(Y))) mark(primes()) -> a__primes() mark(sieve(X)) -> a__sieve(mark(X)) mark(from(X)) -> a__from(mark(X)) mark(head(X)) -> a__head(mark(X)) mark(tail(X)) -> a__tail(mark(X)) mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3) mark(filter(X1,X2)) -> a__filter(mark(X1),mark(X2)) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(true()) -> true() mark(false()) -> false() mark(divides(X1,X2)) -> divides(mark(X1),mark(X2)) a__primes() -> primes() a__sieve(X) -> sieve(X) a__from(X) -> from(X) a__head(X) -> head(X) a__tail(X) -> tail(X) a__if(X1,X2,X3) -> if(X1,X2,X3) a__filter(X1,X2) -> filter(X1,X2) Proof: DP Processor: DPs: a__primes#() -> a__from#(s(s(0()))) a__primes#() -> a__sieve#(a__from(s(s(0())))) a__from#(X) -> mark#(X) a__head#(cons(X,Y)) -> mark#(X) a__tail#(cons(X,Y)) -> mark#(Y) a__if#(true(),X,Y) -> mark#(X) a__if#(false(),X,Y) -> mark#(Y) a__filter#(s(s(X)),cons(Y,Z)) -> mark#(Y) a__filter#(s(s(X)),cons(Y,Z)) -> mark#(X) a__filter#(s(s(X)),cons(Y,Z)) -> a__if#(divides(s(s(mark(X))),mark(Y)),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y)))) a__sieve#(cons(X,Y)) -> mark#(X) mark#(primes()) -> a__primes#() mark#(sieve(X)) -> mark#(X) mark#(sieve(X)) -> a__sieve#(mark(X)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) mark#(head(X)) -> mark#(X) mark#(head(X)) -> a__head#(mark(X)) mark#(tail(X)) -> mark#(X) mark#(tail(X)) -> a__tail#(mark(X)) mark#(if(X1,X2,X3)) -> mark#(X1) mark#(if(X1,X2,X3)) -> a__if#(mark(X1),X2,X3) mark#(filter(X1,X2)) -> mark#(X2) mark#(filter(X1,X2)) -> mark#(X1) mark#(filter(X1,X2)) -> a__filter#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(divides(X1,X2)) -> mark#(X2) mark#(divides(X1,X2)) -> mark#(X1) TRS: a__primes() -> a__sieve(a__from(s(s(0())))) a__from(X) -> cons(mark(X),from(s(X))) a__head(cons(X,Y)) -> mark(X) a__tail(cons(X,Y)) -> mark(Y) a__if(true(),X,Y) -> mark(X) a__if(false(),X,Y) -> mark(Y) a__filter(s(s(X)),cons(Y,Z)) -> a__if(divides(s(s(mark(X))),mark(Y)),filter(s(s(X)),Z),cons(Y,filter(X,sieve(Y)))) a__sieve(cons(X,Y)) -> cons(mark(X),filter(X,sieve(Y))) mark(primes()) -> a__primes() mark(sieve(X)) -> a__sieve(mark(X)) mark(from(X)) -> a__from(mark(X)) mark(head(X)) -> a__head(mark(X)) mark(tail(X)) -> a__tail(mark(X)) mark(if(X1,X2,X3)) -> a__if(mark(X1),X2,X3) mark(filter(X1,X2)) -> a__filter(mark(X1),mark(X2)) mark(s(X)) -> s(mark(X)) mark(0()) -> 0() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(true()) -> true() mark(false()) -> false() mark(divides(X1,X2)) -> divides(mark(X1),mark(X2)) a__primes() -> primes() a__sieve(X) -> sieve(X) a__from(X) -> from(X) a__head(X) -> head(X) a__tail(X) -> tail(X) a__if(X1,X2,X3) -> if(X1,X2,X3) a__filter(X1,X2) -> filter(X1,X2) TDG Processor: DPs: a__primes#() -> a__from#(s(s(0()))) a__primes#() -> a__sieve#(a__from(s(s(0()))))
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