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	n148.star.cs.uiowa.edu
space	Transformed_CSR_innermost_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75373 seconds
cpu usage	4.05599
user time	3.86222
system time	0.193765
max virtual memory	1.840914E7
max residence set size	252752.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSToCSRProof [SOUND, 0 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 40 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 3 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) RisEmptyProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 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)) The set Q consists of the following terms: active(nats(x0)) active(zprimes) active(filter(x0, x1, x2)) active(cons(x0, x1)) active(s(x0)) active(sieve(x0)) filter(mark(x0), x1, x2) filter(x0, mark(x1), x2) filter(x0, x1, mark(x2)) cons(mark(x0), x1) s(mark(x0)) sieve(mark(x0)) nats(mark(x0)) proper(filter(x0, x1, x2)) proper(cons(x0, x1)) proper(0) proper(s(x0)) proper(sieve(x0)) proper(nats(x0)) proper(zprimes) filter(ok(x0), ok(x1), ok(x2)) cons(ok(x0), ok(x1)) s(ok(x0)) sieve(ok(x0)) nats(ok(x0)) top(mark(x0)) top(ok(x0)) ---------------------------------------- (1) QTRSToCSRProof (SOUND) The following Q TRS is given: Q restricted rewrite system: The TRS R consists of the following rules: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Innermost