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TRS Standard pair #487071852
details
property
value
status
complete
benchmark
Ex9_BLR02_Z.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n070.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
ttt2-1.20
configuration
ttt2
runtime (wallclock)
1.67836 seconds
cpu usage
5.18258
user time
4.14054
system time
1.04205
max virtual memory
6042880.0
max residence set size
82640.0
stage attributes
key
value
starexec-result
YES
output
YES Problem: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) activate(n__filter(X1,X2,X3)) -> filter(X1,X2,X3) activate(n__sieve(X)) -> sieve(X) activate(n__nats(X)) -> nats(X) activate(X) -> X Proof: DP Processor: DPs: filter#(cons(X,Y),0(),M) -> activate#(Y) filter#(cons(X,Y),s(N),M) -> activate#(Y) sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) zprimes#() -> nats#(s(s(0()))) zprimes#() -> sieve#(nats(s(s(0())))) activate#(n__filter(X1,X2,X3)) -> filter#(X1,X2,X3) activate#(n__sieve(X)) -> sieve#(X) activate#(n__nats(X)) -> nats#(X) TRS: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) activate(n__filter(X1,X2,X3)) -> filter(X1,X2,X3) activate(n__sieve(X)) -> sieve(X) activate(n__nats(X)) -> nats(X) activate(X) -> X TDG Processor: DPs: filter#(cons(X,Y),0(),M) -> activate#(Y) filter#(cons(X,Y),s(N),M) -> activate#(Y) sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) zprimes#() -> nats#(s(s(0()))) zprimes#() -> sieve#(nats(s(s(0())))) activate#(n__filter(X1,X2,X3)) -> filter#(X1,X2,X3) activate#(n__sieve(X)) -> sieve#(X) activate#(n__nats(X)) -> nats#(X) TRS: filter(cons(X,Y),0(),M) -> cons(0(),n__filter(activate(Y),M,M)) filter(cons(X,Y),s(N),M) -> cons(X,n__filter(activate(Y),N,M)) sieve(cons(0(),Y)) -> cons(0(),n__sieve(activate(Y))) sieve(cons(s(N),Y)) -> cons(s(N),n__sieve(filter(activate(Y),N,N))) nats(N) -> cons(N,n__nats(s(N))) zprimes() -> sieve(nats(s(s(0())))) filter(X1,X2,X3) -> n__filter(X1,X2,X3) sieve(X) -> n__sieve(X) nats(X) -> n__nats(X) activate(n__filter(X1,X2,X3)) -> filter(X1,X2,X3) activate(n__sieve(X)) -> sieve(X) activate(n__nats(X)) -> nats(X) activate(X) -> X graph: zprimes#() -> sieve#(nats(s(s(0())))) -> sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) zprimes#() -> sieve#(nats(s(s(0())))) -> sieve#(cons(s(N),Y)) -> activate#(Y) zprimes#() -> sieve#(nats(s(s(0())))) -> sieve#(cons(0(),Y)) -> activate#(Y) sieve#(cons(s(N),Y)) -> activate#(Y) -> activate#(n__nats(X)) -> nats#(X) sieve#(cons(s(N),Y)) -> activate#(Y) -> activate#(n__sieve(X)) -> sieve#(X) sieve#(cons(s(N),Y)) -> activate#(Y) -> activate#(n__filter(X1,X2,X3)) -> filter#(X1,X2,X3) sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) -> filter#(cons(X,Y),s(N),M) -> activate#(Y) sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) -> filter#(cons(X,Y),0(),M) -> activate#(Y) sieve#(cons(0(),Y)) -> activate#(Y) -> activate#(n__nats(X)) -> nats#(X) sieve#(cons(0(),Y)) -> activate#(Y) -> activate#(n__sieve(X)) -> sieve#(X) sieve#(cons(0(),Y)) -> activate#(Y) -> activate#(n__filter(X1,X2,X3)) -> filter#(X1,X2,X3) activate#(n__sieve(X)) -> sieve#(X) -> sieve#(cons(s(N),Y)) -> filter#(activate(Y),N,N) activate#(n__sieve(X)) -> sieve#(X) -> sieve#(cons(s(N),Y)) -> activate#(Y) activate#(n__sieve(X)) -> sieve#(X) -> sieve#(cons(0(),Y)) -> activate#(Y) activate#(n__filter(X1,X2,X3)) -> filter#(X1,X2,X3) ->
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