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TRS Standard pair #487072288
details
property
value
status
complete
benchmark
aprove02.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Secret_07_TRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.07894 seconds
cpu usage
8.80252
user time
8.37451
system time
0.428016
max virtual memory
1.9151072E7
max residence set size
696432.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) AAECC Innermost [EQUIVALENT, 26 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 0 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) AND (7) QDP (8) UsableRulesProof [EQUIVALENT, 0 ms] (9) QDP (10) QReductionProof [EQUIVALENT, 0 ms] (11) QDP (12) TransformationProof [EQUIVALENT, 0 ms] (13) QDP (14) TransformationProof [EQUIVALENT, 0 ms] (15) QDP (16) TransformationProof [EQUIVALENT, 0 ms] (17) QDP (18) TransformationProof [EQUIVALENT, 0 ms] (19) QDP (20) DependencyGraphProof [EQUIVALENT, 0 ms] (21) TRUE (22) QDP (23) UsableRulesProof [EQUIVALENT, 0 ms] (24) QDP (25) QReductionProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPSizeChangeProof [EQUIVALENT, 0 ms] (28) YES (29) QDP (30) UsableRulesProof [EQUIVALENT, 0 ms] (31) QDP (32) QReductionProof [EQUIVALENT, 0 ms] (33) QDP (34) QDPSizeChangeProof [EQUIVALENT, 0 ms] (35) YES (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) QReductionProof [EQUIVALENT, 0 ms] (40) QDP (41) QDPSizeChangeProof [EQUIVALENT, 0 ms] (42) YES (43) QDP (44) UsableRulesProof [EQUIVALENT, 0 ms] (45) QDP (46) QReductionProof [EQUIVALENT, 0 ms] (47) QDP (48) QDPSizeChangeProof [EQUIVALENT, 0 ms] (49) YES (50) QDP (51) UsableRulesProof [EQUIVALENT, 0 ms] (52) QDP (53) QReductionProof [EQUIVALENT, 0 ms] (54) QDP (55) QDPQMonotonicMRRProof [EQUIVALENT, 23 ms] (56) QDP (57) QDPQMonotonicMRRProof [EQUIVALENT, 13 ms] (58) QDP (59) QDPOrderProof [EQUIVALENT, 0 ms] (60) QDP (61) DependencyGraphProof [EQUIVALENT, 0 ms] (62) TRUE (63) QDP (64) UsableRulesProof [EQUIVALENT, 0 ms] (65) QDP (66) QReductionProof [EQUIVALENT, 0 ms] (67) QDP (68) QDPQMonotonicMRRProof [EQUIVALENT, 23 ms] (69) QDP (70) NonInfProof [EQUIVALENT, 52 ms] (71) AND (72) QDP (73) DependencyGraphProof [EQUIVALENT, 0 ms] (74) TRUE (75) QDP (76) DependencyGraphProof [EQUIVALENT, 0 ms] (77) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: plus(x, y) -> ifPlus(isZero(x), x, inc(y)) ifPlus(true, x, y) -> p(y) ifPlus(false, x, y) -> plus(p(x), y) times(x, y) -> timesIter(0, x, y, 0) timesIter(i, x, y, z) -> ifTimes(ge(i, x), i, x, y, z) ifTimes(true, i, x, y, z) -> z
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