details

property	value
status	complete
benchmark	Ex9_BLR02_C.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n073.star.cs.uiowa.edu
space	Transformed_CSR_04

run statistics

property	value
solver	ttt2-1.20
configuration	ttt2
runtime (wallclock)	6.89559 seconds
cpu usage	19.1328
user time	17.7788
system time	1.35397
max virtual memory	2176928.0
max residence set size	272280.0

stage attributes

key	value
starexec-result	YES

output

YES Problem: active(filter(cons(X,Y),0(),M)) -> mark(cons(0(),filter(Y,M,M))) active(filter(cons(X,Y),s(N),M)) -> mark(cons(X,filter(Y,N,M))) active(sieve(cons(0(),Y))) -> mark(cons(0(),sieve(Y))) active(sieve(cons(s(N),Y))) -> mark(cons(s(N),sieve(filter(Y,N,N)))) active(nats(N)) -> mark(cons(N,nats(s(N)))) active(zprimes()) -> mark(sieve(nats(s(s(0()))))) active(filter(X1,X2,X3)) -> filter(active(X1),X2,X3) active(filter(X1,X2,X3)) -> filter(X1,active(X2),X3) active(filter(X1,X2,X3)) -> filter(X1,X2,active(X3)) active(cons(X1,X2)) -> cons(active(X1),X2) active(s(X)) -> s(active(X)) active(sieve(X)) -> sieve(active(X)) active(nats(X)) -> nats(active(X)) filter(mark(X1),X2,X3) -> mark(filter(X1,X2,X3)) filter(X1,mark(X2),X3) -> mark(filter(X1,X2,X3)) filter(X1,X2,mark(X3)) -> mark(filter(X1,X2,X3)) cons(mark(X1),X2) -> mark(cons(X1,X2)) s(mark(X)) -> mark(s(X)) sieve(mark(X)) -> mark(sieve(X)) nats(mark(X)) -> mark(nats(X)) proper(filter(X1,X2,X3)) -> filter(proper(X1),proper(X2),proper(X3)) proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) proper(0()) -> ok(0()) proper(s(X)) -> s(proper(X)) proper(sieve(X)) -> sieve(proper(X)) proper(nats(X)) -> nats(proper(X)) proper(zprimes()) -> ok(zprimes()) filter(ok(X1),ok(X2),ok(X3)) -> ok(filter(X1,X2,X3)) cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) s(ok(X)) -> ok(s(X)) sieve(ok(X)) -> ok(sieve(X)) nats(ok(X)) -> ok(nats(X)) top(mark(X)) -> top(proper(X)) top(ok(X)) -> top(active(X)) Proof: Matrix Interpretation Processor: dim=2 interpretation: [0] [mark](x0) = x0 + [1], [0] [zprimes] = [3], [0] [0] = [0], [2 0] [active](x0) = [0 1]x0, [s](x0) = x0, [2 0] [ok](x0) = [0 1]x0, [2 0] [1 0] [cons](x0, x1) = [0 1]x0 + [0 0]x1, [2 0] [0] [nats](x0) = [0 1]x0 + [1], [2 2] [0] [top](x0) = [0 1]x0 + [2], [proper](x0) = x0, [0] [sieve](x0) = x0 + [1], [1 0] [0] [filter](x0, x1, x2) = [0 2]x0 + x1 + x2 + [2] orientation: [2 0] [4 0] [2 0] [0] [2 0] [1 0] [0] active(filter(cons(X,Y),0(),M)) = [0 1]M + [0 2]X + [0 0]Y + [2] >= [0 0]M + [0 0]Y + [1] = mark(cons(0(),filter(Y,M,M))) [2 0] [2 0] [4 0] [2 0] [0] [1 0] [1 0] [2 0] [1 0] [0] active(filter(cons(X,Y),s(N),M)) = [0 1]M + [0 1]N + [0 2]X + [0 0]Y + [2] >= [0 0]M + [0 0]N + [0 1]X + [0 0]Y + [1] = mark(cons(X,filter(Y,N,M))) [2 0] [0] [1 0] [0] active(sieve(cons(0(),Y))) = [0 0]Y + [1] >= [0 0]Y + [1] = mark(cons(0(),sieve(Y))) [4 0] [2 0] [0] [4 0] [1 0] [0] active(sieve(cons(s(N),Y))) = [0 1]N + [0 0]Y + [1] >= [0 1]N + [0 0]Y + [1] = mark(cons(s(N),sieve(filter(Y,N,N)))) [4 0] [0] [4 0] [0] active(nats(N)) = [0 1]N + [1] >= [0 1]N + [1] = mark(cons(N,nats(s(N)))) [0] [0] active(zprimes()) = [3] >= [3] = mark(sieve(nats(s(s(0()))))) [2 0] [2 0] [2 0] [0] [2 0] [0] active(filter(X1,X2,X3)) = [0 2]X1 + [0 1]X2 + [0 1]X3 + [2] >= [0 2]X1 + X2 + X3 + [2] = filter(active(X1),X2,X3) [2 0] [2 0] [2 0] [0] [1 0] [2 0] [0] popout

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all output return to TRS Standard