details

property	value
status	complete
benchmark	ex6.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n131.star.cs.uiowa.edu
space	Mixed_outermost

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	14.6596 seconds
cpu usage	47.8471
user time	45.7218
system time	2.12534
max virtual memory	3.725536E7
max residence set size	4976836.0

stage attributes

key	value
starexec-result	YES

output

47.63/14.59 YES 47.63/14.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 47.63/14.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 47.63/14.60 47.63/14.60 47.63/14.60 Outermost Termination of the given OTRS could be proven: 47.63/14.60 47.63/14.60 (0) OTRS 47.63/14.60 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 47.63/14.60 (2) QTRS 47.63/14.60 (3) QTRSRRRProof [EQUIVALENT, 35 ms] 47.63/14.60 (4) QTRS 47.63/14.60 (5) QTRSRRRProof [EQUIVALENT, 11 ms] 47.63/14.60 (6) QTRS 47.63/14.60 (7) AAECC Innermost [EQUIVALENT, 0 ms] 47.63/14.60 (8) QTRS 47.63/14.60 (9) DependencyPairsProof [EQUIVALENT, 0 ms] 47.63/14.60 (10) QDP 47.63/14.60 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 47.63/14.60 (12) AND 47.63/14.60 (13) QDP 47.63/14.60 (14) UsableRulesProof [EQUIVALENT, 0 ms] 47.63/14.60 (15) QDP 47.63/14.60 (16) QReductionProof [EQUIVALENT, 0 ms] 47.63/14.60 (17) QDP 47.63/14.60 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 47.63/14.60 (19) YES 47.63/14.60 (20) QDP 47.63/14.60 (21) UsableRulesProof [EQUIVALENT, 0 ms] 47.63/14.60 (22) QDP 47.63/14.60 (23) QReductionProof [EQUIVALENT, 0 ms] 47.63/14.60 (24) QDP 47.63/14.60 (25) TransformationProof [EQUIVALENT, 0 ms] 47.63/14.60 (26) QDP 47.63/14.60 (27) DependencyGraphProof [EQUIVALENT, 0 ms] 47.63/14.60 (28) QDP 47.63/14.60 (29) SemLabProof [SOUND, 64 ms] 47.63/14.60 (30) QDP 47.63/14.60 (31) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 47.63/14.60 (32) QDP 47.63/14.60 (33) UsableRulesReductionPairsProof [EQUIVALENT, 0 ms] 47.63/14.60 (34) QDP 47.63/14.60 (35) MRRProof [EQUIVALENT, 0 ms] 47.63/14.60 (36) QDP 47.63/14.60 (37) UsableRulesReductionPairsProof [EQUIVALENT, 2 ms] 47.63/14.60 (38) QDP 47.63/14.60 (39) MRRProof [EQUIVALENT, 0 ms] 47.63/14.60 (40) QDP 47.63/14.60 (41) MRRProof [EQUIVALENT, 0 ms] 47.63/14.60 (42) QDP 47.63/14.60 (43) PisEmptyProof [EQUIVALENT, 0 ms] 47.63/14.60 (44) YES 47.63/14.60 47.63/14.60 47.63/14.60 ---------------------------------------- 47.63/14.60 47.63/14.60 (0) 47.63/14.60 Obligation: 47.63/14.60 Term rewrite system R: 47.63/14.60 The TRS R consists of the following rules: 47.63/14.60 47.63/14.60 f(x, x) -> f(i(x), g(g(x))) 47.63/14.60 f(x, y) -> x 47.63/14.60 g(x) -> i(x) 47.63/14.60 f(x, i(x)) -> f(x, x) 47.63/14.60 f(i(x), i(g(x))) -> a 47.63/14.60 47.63/14.60 47.63/14.60 47.63/14.60 Outermost Strategy. 47.63/14.60 47.63/14.60 ---------------------------------------- 47.63/14.60 47.63/14.60 (1) Raffelsieper-Zantema-Transformation (SOUND) 47.63/14.60 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 47.63/14.60 ---------------------------------------- 47.63/14.60 47.63/14.60 (2) 47.63/14.60 Obligation: 47.63/14.60 Q restricted rewrite system: 47.63/14.60 The TRS R consists of the following rules: 47.63/14.60 47.63/14.60 down(f(x, x)) -> up(f(i(x), g(g(x)))) 47.63/14.60 down(f(x, y)) -> up(x) 47.63/14.60 down(g(x)) -> up(i(x)) 47.63/14.60 down(f(x, i(x))) -> up(f(x, x)) 47.63/14.60 down(f(i(x), i(g(x)))) -> up(a) 47.63/14.60 top(up(x)) -> top(down(x)) 47.63/14.60 down(i(y2)) -> i_flat(down(y2)) 47.63/14.60 f_flat(up(x_1), block(x_2)) -> up(f(x_1, x_2)) 47.63/14.60 f_flat(block(x_1), up(x_2)) -> up(f(x_1, x_2)) 47.63/14.60 i_flat(up(x_1)) -> up(i(x_1)) 47.63/14.60 g_flat(up(x_1)) -> up(g(x_1)) 47.63/14.60 47.63/14.60 Q is empty. 47.63/14.60 47.63/14.60 ---------------------------------------- 47.63/14.60 47.63/14.60 (3) QTRSRRRProof (EQUIVALENT) 47.63/14.60 Used ordering: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS_Outermost 2019-04-01 06.45