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TRS_Outermost 2019-04-01 06.45 pair #433314777
details
property
value
status
complete
benchmark
Ex5_Zan97.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n059.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
74.4068 seconds
cpu usage
249.69
user time
244.206
system time
5.48349
max virtual memory
3.7301348E7
max residence set size
5406936.0
stage attributes
key
value
starexec-result
YES
output
249.10/74.27 YES 249.34/74.28 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 249.34/74.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 249.34/74.28 249.34/74.28 249.34/74.28 Outermost Termination of the given OTRS could be proven: 249.34/74.28 249.34/74.28 (0) OTRS 249.34/74.28 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 249.34/74.28 (2) QTRS 249.34/74.28 (3) QTRSRRRProof [EQUIVALENT, 87 ms] 249.34/74.28 (4) QTRS 249.34/74.28 (5) QTRSRRRProof [EQUIVALENT, 29 ms] 249.34/74.28 (6) QTRS 249.34/74.28 (7) DependencyPairsProof [EQUIVALENT, 0 ms] 249.34/74.28 (8) QDP 249.34/74.28 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (10) AND 249.34/74.28 (11) QDP 249.34/74.28 (12) UsableRulesProof [EQUIVALENT, 0 ms] 249.34/74.28 (13) QDP 249.34/74.28 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 249.34/74.28 (15) YES 249.34/74.28 (16) QDP 249.34/74.28 (17) UsableRulesProof [EQUIVALENT, 2 ms] 249.34/74.28 (18) QDP 249.34/74.28 (19) TransformationProof [EQUIVALENT, 0 ms] 249.34/74.28 (20) QDP 249.34/74.28 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (22) QDP 249.34/74.28 (23) QDPOrderProof [EQUIVALENT, 25 ms] 249.34/74.28 (24) QDP 249.34/74.28 (25) QDPOrderProof [EQUIVALENT, 29 ms] 249.34/74.28 (26) QDP 249.34/74.28 (27) QDPOrderProof [EQUIVALENT, 163 ms] 249.34/74.28 (28) QDP 249.34/74.28 (29) SplitQDPProof [EQUIVALENT, 0 ms] 249.34/74.28 (30) AND 249.34/74.28 (31) QDP 249.34/74.28 (32) SemLabProof [SOUND, 0 ms] 249.34/74.28 (33) QDP 249.34/74.28 (34) DependencyGraphProof [EQUIVALENT, 1 ms] 249.34/74.28 (35) QDP 249.34/74.28 (36) MRRProof [EQUIVALENT, 387 ms] 249.34/74.28 (37) QDP 249.34/74.28 (38) MRRProof [EQUIVALENT, 300 ms] 249.34/74.28 (39) QDP 249.34/74.28 (40) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (41) QDP 249.34/74.28 (42) PisEmptyProof [SOUND, 0 ms] 249.34/74.28 (43) TRUE 249.34/74.28 (44) QDP 249.34/74.28 (45) SemLabProof [SOUND, 11.7 s] 249.34/74.28 (46) QDP 249.34/74.28 (47) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (48) QDP 249.34/74.28 (49) UsableRulesReductionPairsProof [EQUIVALENT, 238 ms] 249.34/74.28 (50) QDP 249.34/74.28 (51) DependencyGraphProof [EQUIVALENT, 4 ms] 249.34/74.28 (52) QDP 249.34/74.28 (53) MRRProof [EQUIVALENT, 282 ms] 249.34/74.28 (54) QDP 249.34/74.28 (55) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (56) QDP 249.34/74.28 (57) MRRProof [EQUIVALENT, 181 ms] 249.34/74.28 (58) QDP 249.34/74.28 (59) DependencyGraphProof [EQUIVALENT, 0 ms] 249.34/74.28 (60) QDP 249.34/74.28 (61) UsableRulesReductionPairsProof [EQUIVALENT, 211 ms] 249.34/74.28 (62) QDP 249.34/74.28 (63) MRRProof [EQUIVALENT, 166 ms] 249.34/74.28 (64) QDP 249.34/74.28 (65) QDPOrderProof [EQUIVALENT, 144 ms] 249.34/74.28 (66) QDP 249.34/74.28 (67) PisEmptyProof [EQUIVALENT, 0 ms] 249.34/74.28 (68) YES 249.34/74.28 249.34/74.28 249.34/74.28 ---------------------------------------- 249.34/74.28 249.34/74.28 (0) 249.34/74.28 Obligation: 249.34/74.28 Term rewrite system R: 249.34/74.28 The TRS R consists of the following rules: 249.34/74.28 249.34/74.28 f(X) -> if(X, c, f(true)) 249.34/74.28 if(true, X, Y) -> X 249.34/74.28 if(false, X, Y) -> Y 249.34/74.28 249.34/74.28 249.34/74.28 249.34/74.28 Outermost Strategy. 249.34/74.28 249.34/74.28 ---------------------------------------- 249.34/74.28 249.34/74.28 (1) Raffelsieper-Zantema-Transformation (SOUND) 249.34/74.28 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 249.34/74.28 ---------------------------------------- 249.34/74.28 249.34/74.28 (2)
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