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TRS_Outermost 2019-04-01 06.45 pair #433314766
details
property
value
status
complete
benchmark
Ex1_Luc04b_FR.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n042.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
73.1685 seconds
cpu usage
260.811
user time
252.505
system time
8.30543
max virtual memory
3.7362388E7
max residence set size
7771300.0
stage attributes
key
value
starexec-result
YES
output
260.28/73.04 YES 260.58/73.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 260.58/73.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 260.58/73.05 260.58/73.05 260.58/73.05 Outermost Termination of the given OTRS could be proven: 260.58/73.05 260.58/73.05 (0) OTRS 260.58/73.05 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 260.58/73.05 (2) QTRS 260.58/73.05 (3) QTRSRRRProof [EQUIVALENT, 166 ms] 260.58/73.05 (4) QTRS 260.58/73.05 (5) QTRSRRRProof [EQUIVALENT, 65 ms] 260.58/73.05 (6) QTRS 260.58/73.05 (7) QTRSRRRProof [EQUIVALENT, 130 ms] 260.58/73.05 (8) QTRS 260.58/73.05 (9) DependencyPairsProof [EQUIVALENT, 0 ms] 260.58/73.05 (10) QDP 260.58/73.05 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (12) AND 260.58/73.05 (13) QDP 260.58/73.05 (14) UsableRulesProof [EQUIVALENT, 0 ms] 260.58/73.05 (15) QDP 260.58/73.05 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 260.58/73.05 (17) YES 260.58/73.05 (18) QDP 260.58/73.05 (19) UsableRulesProof [EQUIVALENT, 6 ms] 260.58/73.05 (20) QDP 260.58/73.05 (21) TransformationProof [EQUIVALENT, 26 ms] 260.58/73.05 (22) QDP 260.58/73.05 (23) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (24) QDP 260.58/73.05 (25) QDPOrderProof [EQUIVALENT, 34 ms] 260.58/73.05 (26) QDP 260.58/73.05 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (28) QDP 260.58/73.05 (29) QDPOrderProof [EQUIVALENT, 27 ms] 260.58/73.05 (30) QDP 260.58/73.05 (31) QDPOrderProof [EQUIVALENT, 32 ms] 260.58/73.05 (32) QDP 260.58/73.05 (33) QDPOrderProof [EQUIVALENT, 241 ms] 260.58/73.05 (34) QDP 260.58/73.05 (35) QDPOrderProof [EQUIVALENT, 518 ms] 260.58/73.05 (36) QDP 260.58/73.05 (37) QDPOrderProof [EQUIVALENT, 286 ms] 260.58/73.05 (38) QDP 260.58/73.05 (39) QDPOrderProof [EQUIVALENT, 272 ms] 260.58/73.05 (40) QDP 260.58/73.05 (41) QDPOrderProof [EQUIVALENT, 241 ms] 260.58/73.05 (42) QDP 260.58/73.05 (43) QDPOrderProof [EQUIVALENT, 287 ms] 260.58/73.05 (44) QDP 260.58/73.05 (45) QDPOrderProof [EQUIVALENT, 334 ms] 260.58/73.05 (46) QDP 260.58/73.05 (47) QDPOrderProof [EQUIVALENT, 260 ms] 260.58/73.05 (48) QDP 260.58/73.05 (49) SplitQDPProof [EQUIVALENT, 0 ms] 260.58/73.05 (50) AND 260.58/73.05 (51) QDP 260.58/73.05 (52) SemLabProof [SOUND, 0 ms] 260.58/73.05 (53) QDP 260.58/73.05 (54) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (55) QDP 260.58/73.05 (56) MRRProof [EQUIVALENT, 34 ms] 260.58/73.05 (57) QDP 260.58/73.05 (58) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (59) QDP 260.58/73.05 (60) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 260.58/73.05 (61) QDP 260.58/73.05 (62) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (63) QDP 260.58/73.05 (64) MRRProof [EQUIVALENT, 19 ms] 260.58/73.05 (65) QDP 260.58/73.05 (66) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (67) QDP 260.58/73.05 (68) MRRProof [EQUIVALENT, 0 ms] 260.58/73.05 (69) QDP 260.58/73.05 (70) DependencyGraphProof [EQUIVALENT, 0 ms] 260.58/73.05 (71) QDP 260.58/73.05 (72) PisEmptyProof [SOUND, 0 ms] 260.58/73.05 (73) TRUE 260.58/73.05 (74) QDP 260.58/73.05 (75) QDPOrderProof [EQUIVALENT, 8176 ms] 260.58/73.05 (76) QDP 260.58/73.05 (77) PisEmptyProof [EQUIVALENT, 0 ms] 260.58/73.05 (78) YES 260.58/73.05 260.58/73.05 260.58/73.05 ---------------------------------------- 260.58/73.05 260.58/73.05 (0) 260.58/73.05 Obligation: 260.58/73.05 Term rewrite system R: 260.58/73.05 The TRS R consists of the following rules: 260.58/73.05 260.58/73.05 nats -> cons(0, n__incr(n__nats)) 260.58/73.05 pairs -> cons(0, n__incr(n__odds)) 260.58/73.05 odds -> incr(pairs) 260.58/73.05 incr(cons(X, XS)) -> cons(s(X), n__incr(activate(XS))) 260.58/73.06 head(cons(X, XS)) -> X
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