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TRS Inner 89993 pair #381734137
details
property
value
status
complete
benchmark
Ex9_BLR02_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n089.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.45397186279 seconds
cpu usage
13.706219284
max memory
1.182830592E9
stage attributes
key
value
output-size
77978
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 56 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QReductionProof [EQUIVALENT, 0 ms] (9) QDP (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] (11) YES (12) QDP (13) UsableRulesProof [EQUIVALENT, 0 ms] (14) QDP (15) QReductionProof [EQUIVALENT, 0 ms] (16) QDP (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] (18) YES (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QReductionProof [EQUIVALENT, 0 ms] (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) UsableRulesProof [EQUIVALENT, 0 ms] (28) QDP (29) QReductionProof [EQUIVALENT, 0 ms] (30) QDP (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] (32) YES (33) QDP (34) UsableRulesProof [EQUIVALENT, 0 ms] (35) QDP (36) QReductionProof [EQUIVALENT, 0 ms] (37) QDP (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] (39) YES (40) QDP (41) QDPOrderProof [EQUIVALENT, 36 ms] (42) QDP (43) QDPOrderProof [EQUIVALENT, 20 ms] (44) QDP (45) DependencyGraphProof [EQUIVALENT, 0 ms] (46) QDP (47) QDPOrderProof [EQUIVALENT, 21 ms] (48) QDP (49) QDPOrderProof [EQUIVALENT, 0 ms] (50) QDP (51) QDPOrderProof [EQUIVALENT, 14 ms] (52) QDP (53) QDPOrderProof [EQUIVALENT, 2 ms] (54) QDP (55) QDPOrderProof [EQUIVALENT, 23 ms] (56) QDP (57) UsableRulesProof [EQUIVALENT, 0 ms] (58) QDP (59) QReductionProof [EQUIVALENT, 0 ms] (60) QDP (61) QDPSizeChangeProof [EQUIVALENT, 0 ms] (62) 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))))) mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) mark(0) -> active(0) mark(s(X)) -> active(s(mark(X))) mark(sieve(X)) -> active(sieve(mark(X))) mark(nats(X)) -> active(nats(mark(X))) mark(zprimes) -> active(zprimes) filter(mark(X1), X2, X3) -> filter(X1, X2, X3) filter(X1, mark(X2), X3) -> filter(X1, X2, X3)
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