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TRS_Outermost 2019-04-01 06.45 pair #433314867
details
property
value
status
complete
benchmark
toyama_stop.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
Zantema_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
52.955 seconds
cpu usage
136.831
user time
132.481
system time
4.34924
max virtual memory
3.7245428E7
max residence set size
4770316.0
stage attributes
key
value
starexec-result
YES
output
136.57/52.88 YES 136.57/52.89 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 136.57/52.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 136.57/52.89 136.57/52.89 136.57/52.89 Outermost Termination of the given OTRS could be proven: 136.57/52.89 136.57/52.89 (0) OTRS 136.57/52.89 (1) Raffelsieper-Zantema-Transformation [SOUND, 0 ms] 136.57/52.89 (2) QTRS 136.57/52.89 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 136.57/52.89 (4) QDP 136.57/52.89 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 136.57/52.89 (6) AND 136.57/52.89 (7) QDP 136.57/52.89 (8) UsableRulesProof [EQUIVALENT, 0 ms] 136.57/52.89 (9) QDP 136.57/52.89 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 136.57/52.89 (11) YES 136.57/52.89 (12) QDP 136.57/52.89 (13) TransformationProof [EQUIVALENT, 0 ms] 136.57/52.89 (14) QDP 136.57/52.89 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 136.57/52.89 (16) QDP 136.57/52.89 (17) QDPOrderProof [EQUIVALENT, 26 ms] 136.57/52.89 (18) QDP 136.57/52.89 (19) SplitQDPProof [EQUIVALENT, 0 ms] 136.57/52.89 (20) AND 136.57/52.89 (21) QDP 136.57/52.89 (22) SemLabProof [SOUND, 0 ms] 136.57/52.89 (23) QDP 136.57/52.89 (24) DependencyGraphProof [EQUIVALENT, 0 ms] 136.57/52.89 (25) QDP 136.57/52.89 (26) QDPOrderProof [EQUIVALENT, 37 ms] 136.57/52.89 (27) QDP 136.57/52.89 (28) PisEmptyProof [SOUND, 0 ms] 136.57/52.89 (29) TRUE 136.57/52.89 (30) QDP 136.57/52.89 (31) SemLabProof [SOUND, 2969 ms] 136.57/52.89 (32) QDP 136.57/52.89 (33) DependencyGraphProof [EQUIVALENT, 0 ms] 136.57/52.89 (34) QDP 136.57/52.89 (35) QDPOrderProof [EQUIVALENT, 31 ms] 136.57/52.89 (36) QDP 136.57/52.89 (37) PisEmptyProof [EQUIVALENT, 0 ms] 136.57/52.89 (38) YES 136.57/52.89 136.57/52.89 136.57/52.89 ---------------------------------------- 136.57/52.89 136.57/52.89 (0) 136.57/52.89 Obligation: 136.57/52.89 Term rewrite system R: 136.57/52.89 The TRS R consists of the following rules: 136.57/52.89 136.57/52.89 f(g(u, v), y, z) -> c 136.57/52.89 f(0, 1, x) -> f(x, x, x) 136.57/52.89 g(x, y) -> x 136.57/52.89 g(x, y) -> y 136.57/52.89 f(f(x, y, z), u, v) -> c 136.57/52.89 f(0, u, v) -> c 136.57/52.89 136.57/52.89 136.57/52.89 136.57/52.89 Outermost Strategy. 136.57/52.89 136.57/52.89 ---------------------------------------- 136.57/52.89 136.57/52.89 (1) Raffelsieper-Zantema-Transformation (SOUND) 136.57/52.89 We applied the Raffelsieper-Zantema transformation to transform the outermost TRS to a standard TRS. 136.57/52.89 ---------------------------------------- 136.57/52.89 136.57/52.89 (2) 136.57/52.89 Obligation: 136.57/52.89 Q restricted rewrite system: 136.57/52.89 The TRS R consists of the following rules: 136.57/52.89 136.57/52.89 down(f(g(u, v), y, z)) -> up(c) 136.57/52.89 down(f(0, 1, x)) -> up(f(x, x, x)) 136.57/52.89 down(g(x, y)) -> up(x) 136.57/52.89 down(g(x, y)) -> up(y) 136.57/52.89 down(f(f(x, y, z), u, v)) -> up(c) 136.57/52.89 down(f(0, u, v)) -> up(c) 136.57/52.89 top(up(x)) -> top(down(x)) 136.57/52.89 down(f(c, y17, y18)) -> f_flat(down(c), block(y17), block(y18)) 136.57/52.89 down(f(c, y17, y18)) -> f_flat(block(c), down(y17), block(y18)) 136.57/52.89 down(f(c, y17, y18)) -> f_flat(block(c), block(y17), down(y18)) 136.57/52.89 down(f(1, y21, y22)) -> f_flat(down(1), block(y21), block(y22)) 136.57/52.89 down(f(1, y21, y22)) -> f_flat(block(1), down(y21), block(y22)) 136.57/52.89 down(f(1, y21, y22)) -> f_flat(block(1), block(y21), down(y22)) 136.57/52.89 down(f(fresh_constant, y23, y24)) -> f_flat(down(fresh_constant), block(y23), block(y24)) 136.57/52.89 down(f(fresh_constant, y23, y24)) -> f_flat(block(fresh_constant), down(y23), block(y24)) 136.57/52.89 down(f(fresh_constant, y23, y24)) -> f_flat(block(fresh_constant), block(y23), down(y24)) 136.57/52.89 f_flat(up(x_1), block(x_2), block(x_3)) -> up(f(x_1, x_2, x_3)) 136.57/52.89 f_flat(block(x_1), up(x_2), block(x_3)) -> up(f(x_1, x_2, x_3)) 136.57/52.89 f_flat(block(x_1), block(x_2), up(x_3)) -> up(f(x_1, x_2, x_3)) 136.57/52.89 g_flat(up(x_1), block(x_2)) -> up(g(x_1, x_2)) 136.57/52.89 g_flat(block(x_1), up(x_2)) -> up(g(x_1, x_2)) 136.57/52.89 136.57/52.89 Q is empty.
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