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TRS_Innermost 2019-03-28 22.12 pair #432271324
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
n067.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.70088 seconds
cpu usage
13.9416
user time
13.351
system time
0.590652
max virtual memory
1.9292868E7
max residence set size
1170688.0
stage attributes
key
value
starexec-result
YES
output
13.78/4.63 YES 13.83/4.64 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 13.83/4.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 13.83/4.64 13.83/4.64 13.83/4.64 Termination w.r.t. Q of the given QTRS could be proven: 13.83/4.64 13.83/4.64 (0) QTRS 13.83/4.64 (1) DependencyPairsProof [EQUIVALENT, 55 ms] 13.83/4.64 (2) QDP 13.83/4.64 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 13.83/4.64 (4) AND 13.83/4.64 (5) QDP 13.83/4.64 (6) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (7) QDP 13.83/4.64 (8) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (9) QDP 13.83/4.64 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (11) YES 13.83/4.64 (12) QDP 13.83/4.64 (13) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (14) QDP 13.83/4.64 (15) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (16) QDP 13.83/4.64 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (18) YES 13.83/4.64 (19) QDP 13.83/4.64 (20) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (21) QDP 13.83/4.64 (22) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (23) QDP 13.83/4.64 (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (25) YES 13.83/4.64 (26) QDP 13.83/4.64 (27) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (28) QDP 13.83/4.64 (29) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (30) QDP 13.83/4.64 (31) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (32) YES 13.83/4.64 (33) QDP 13.83/4.64 (34) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (35) QDP 13.83/4.64 (36) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (37) QDP 13.83/4.64 (38) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (39) YES 13.83/4.64 (40) QDP 13.83/4.64 (41) QDPOrderProof [EQUIVALENT, 30 ms] 13.83/4.64 (42) QDP 13.83/4.64 (43) QDPOrderProof [EQUIVALENT, 23 ms] 13.83/4.64 (44) QDP 13.83/4.64 (45) DependencyGraphProof [EQUIVALENT, 0 ms] 13.83/4.64 (46) QDP 13.83/4.64 (47) QDPOrderProof [EQUIVALENT, 18 ms] 13.83/4.64 (48) QDP 13.83/4.64 (49) QDPQMonotonicMRRProof [EQUIVALENT, 76 ms] 13.83/4.64 (50) QDP 13.83/4.64 (51) QDPOrderProof [EQUIVALENT, 13 ms] 13.83/4.64 (52) QDP 13.83/4.64 (53) QDPOrderProof [EQUIVALENT, 0 ms] 13.83/4.64 (54) QDP 13.83/4.64 (55) QDPQMonotonicMRRProof [EQUIVALENT, 0 ms] 13.83/4.64 (56) QDP 13.83/4.64 (57) QDPOrderProof [EQUIVALENT, 0 ms] 13.83/4.64 (58) QDP 13.83/4.64 (59) UsableRulesProof [EQUIVALENT, 0 ms] 13.83/4.64 (60) QDP 13.83/4.64 (61) QReductionProof [EQUIVALENT, 0 ms] 13.83/4.64 (62) QDP 13.83/4.64 (63) QDPSizeChangeProof [EQUIVALENT, 0 ms] 13.83/4.64 (64) YES 13.83/4.64 13.83/4.64 13.83/4.64 ---------------------------------------- 13.83/4.64 13.83/4.64 (0) 13.83/4.64 Obligation: 13.83/4.64 Q restricted rewrite system: 13.83/4.64 The TRS R consists of the following rules: 13.83/4.64 13.83/4.64 active(filter(cons(X, Y), 0, M)) -> mark(cons(0, filter(Y, M, M))) 13.83/4.64 active(filter(cons(X, Y), s(N), M)) -> mark(cons(X, filter(Y, N, M))) 13.83/4.64 active(sieve(cons(0, Y))) -> mark(cons(0, sieve(Y))) 13.83/4.64 active(sieve(cons(s(N), Y))) -> mark(cons(s(N), sieve(filter(Y, N, N)))) 13.83/4.64 active(nats(N)) -> mark(cons(N, nats(s(N)))) 13.83/4.64 active(zprimes) -> mark(sieve(nats(s(s(0))))) 13.83/4.64 mark(filter(X1, X2, X3)) -> active(filter(mark(X1), mark(X2), mark(X3))) 13.83/4.64 mark(cons(X1, X2)) -> active(cons(mark(X1), X2)) 13.83/4.64 mark(0) -> active(0) 13.83/4.64 mark(s(X)) -> active(s(mark(X))) 13.83/4.64 mark(sieve(X)) -> active(sieve(mark(X))) 13.83/4.64 mark(nats(X)) -> active(nats(mark(X))) 13.83/4.64 mark(zprimes) -> active(zprimes) 13.83/4.64 filter(mark(X1), X2, X3) -> filter(X1, X2, X3) 13.83/4.64 filter(X1, mark(X2), X3) -> filter(X1, X2, X3) 13.83/4.64 filter(X1, X2, mark(X3)) -> filter(X1, X2, X3) 13.83/4.64 filter(active(X1), X2, X3) -> filter(X1, X2, X3) 13.83/4.64 filter(X1, active(X2), X3) -> filter(X1, X2, X3) 13.83/4.64 filter(X1, X2, active(X3)) -> filter(X1, X2, X3)
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