details

property	value
status	complete
benchmark	ex5.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Zantema_08

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.20399 seconds
cpu usage	5.6068
user time	5.32781
system time	0.278995
max virtual memory	1.8614604E7
max residence set size	576540.0

stage attributes

key	value
starexec-result	YES

output

5.37/2.16 YES 5.37/2.17 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 5.37/2.17 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 5.37/2.17 5.37/2.17 5.37/2.17 Outermost Termination of the given OTRS could be proven: 5.37/2.17 5.37/2.17 (0) OTRS 5.37/2.17 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 5.37/2.17 (2) QTRS 5.37/2.17 (3) QTRSRRRProof [EQUIVALENT, 27 ms] 5.37/2.17 (4) QTRS 5.37/2.17 (5) DependencyPairsProof [EQUIVALENT, 0 ms] 5.37/2.17 (6) QDP 5.37/2.17 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 5.37/2.17 (8) QDP 5.37/2.17 (9) UsableRulesProof [EQUIVALENT, 0 ms] 5.37/2.17 (10) QDP 5.37/2.17 (11) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (12) QDP 5.37/2.17 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 5.37/2.17 (14) QDP 5.37/2.17 (15) UsableRulesProof [EQUIVALENT, 0 ms] 5.37/2.17 (16) QDP 5.37/2.17 (17) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (18) QDP 5.37/2.17 (19) UsableRulesProof [EQUIVALENT, 0 ms] 5.37/2.17 (20) QDP 5.37/2.17 (21) DependencyGraphProof [EQUIVALENT, 0 ms] 5.37/2.17 (22) AND 5.37/2.17 (23) QDP 5.37/2.17 (24) MNOCProof [EQUIVALENT, 0 ms] 5.37/2.17 (25) QDP 5.37/2.17 (26) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (27) QDP 5.37/2.17 (28) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (29) QDP 5.37/2.17 (30) DependencyGraphProof [EQUIVALENT, 0 ms] 5.37/2.17 (31) QDP 5.37/2.17 (32) UsableRulesProof [EQUIVALENT, 0 ms] 5.37/2.17 (33) QDP 5.37/2.17 (34) QReductionProof [EQUIVALENT, 0 ms] 5.37/2.17 (35) QDP 5.37/2.17 (36) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (37) QDP 5.37/2.17 (38) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (39) QDP 5.37/2.17 (40) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (41) QDP 5.37/2.17 (42) MRRProof [EQUIVALENT, 9 ms] 5.37/2.17 (43) QDP 5.37/2.17 (44) PisEmptyProof [EQUIVALENT, 0 ms] 5.37/2.17 (45) YES 5.37/2.17 (46) QDP 5.37/2.17 (47) MNOCProof [EQUIVALENT, 0 ms] 5.37/2.17 (48) QDP 5.37/2.17 (49) UsableRulesProof [EQUIVALENT, 0 ms] 5.37/2.17 (50) QDP 5.37/2.17 (51) QReductionProof [EQUIVALENT, 0 ms] 5.37/2.17 (52) QDP 5.37/2.17 (53) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (54) QDP 5.37/2.17 (55) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (56) QDP 5.37/2.17 (57) TransformationProof [EQUIVALENT, 0 ms] 5.37/2.17 (58) QDP 5.37/2.17 (59) MRRProof [EQUIVALENT, 8 ms] 5.37/2.17 (60) QDP 5.37/2.17 (61) PisEmptyProof [EQUIVALENT, 0 ms] 5.37/2.17 (62) YES 5.37/2.17 5.37/2.17 5.37/2.17 ---------------------------------------- 5.37/2.17 5.37/2.17 (0) 5.37/2.17 Obligation: 5.37/2.17 Term rewrite system R: 5.37/2.17 The TRS R consists of the following rules: 5.37/2.17 5.37/2.17 f(x, f(y, z)) -> f(f(x, y), z) 5.37/2.17 f(x, y) -> s(f(y, x)) 5.37/2.17 s(s(x)) -> c 5.37/2.17 5.37/2.17 5.37/2.17 5.37/2.17 Outermost Strategy. 5.37/2.17 5.37/2.17 ---------------------------------------- 5.37/2.17 5.37/2.17 (1) Raffelsieper-Zantema-Transformation (SOUND) 5.37/2.17 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 5.37/2.17 ---------------------------------------- 5.37/2.17 5.37/2.17 (2) 5.37/2.17 Obligation: 5.37/2.17 Q restricted rewrite system: 5.37/2.17 The TRS R consists of the following rules: 5.37/2.17 5.37/2.17 down(f(x, f(y, z))) -> up(f(f(x, y), z)) 5.37/2.17 down(f(x, y)) -> up(s(f(y, x))) popout

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all output return to TRS_Outermost 2019-04-01 06.45