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SRS_Standard 2019-03-29 03.29 pair #432292261
details
property
value
status
complete
benchmark
z090.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n055.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.7396 seconds
cpu usage
53.9073
user time
52.151
system time
1.75632
max virtual memory
6.2388348E7
max residence set size
4437924.0
stage attributes
key
value
starexec-result
YES
output
52.65/14.41 YES 53.31/14.61 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 53.31/14.61 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 53.31/14.61 53.31/14.61 53.31/14.61 Termination w.r.t. Q of the given QTRS could be proven: 53.31/14.61 53.31/14.61 (0) QTRS 53.31/14.61 (1) FlatCCProof [EQUIVALENT, 0 ms] 53.31/14.61 (2) QTRS 53.31/14.61 (3) RootLabelingProof [EQUIVALENT, 0 ms] 53.31/14.61 (4) QTRS 53.31/14.61 (5) QTRSRRRProof [EQUIVALENT, 98 ms] 53.31/14.61 (6) QTRS 53.31/14.61 (7) DependencyPairsProof [EQUIVALENT, 223 ms] 53.31/14.61 (8) QDP 53.31/14.61 (9) QDPOrderProof [EQUIVALENT, 669 ms] 53.31/14.61 (10) QDP 53.31/14.61 (11) DependencyGraphProof [EQUIVALENT, 1 ms] 53.31/14.61 (12) AND 53.31/14.61 (13) QDP 53.31/14.61 (14) QDPOrderProof [EQUIVALENT, 73 ms] 53.31/14.61 (15) QDP 53.31/14.61 (16) DependencyGraphProof [EQUIVALENT, 0 ms] 53.31/14.61 (17) TRUE 53.31/14.61 (18) QDP 53.31/14.61 (19) UsableRulesProof [EQUIVALENT, 0 ms] 53.31/14.61 (20) QDP 53.31/14.61 (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] 53.31/14.61 (22) YES 53.31/14.61 (23) QDP 53.31/14.61 (24) QDPOrderProof [EQUIVALENT, 62 ms] 53.31/14.61 (25) QDP 53.31/14.61 (26) PisEmptyProof [EQUIVALENT, 0 ms] 53.31/14.61 (27) YES 53.31/14.61 (28) QDP 53.31/14.61 (29) QDPOrderProof [EQUIVALENT, 67 ms] 53.31/14.61 (30) QDP 53.31/14.61 (31) PisEmptyProof [EQUIVALENT, 0 ms] 53.31/14.61 (32) YES 53.31/14.61 53.31/14.61 53.31/14.61 ---------------------------------------- 53.31/14.61 53.31/14.61 (0) 53.31/14.61 Obligation: 53.31/14.61 Q restricted rewrite system: 53.31/14.61 The TRS R consists of the following rules: 53.31/14.61 53.31/14.61 s(b(x1)) -> b(s(s(s(x1)))) 53.31/14.61 s(b(s(x1))) -> b(t(x1)) 53.31/14.61 t(b(x1)) -> b(s(x1)) 53.31/14.61 t(b(s(x1))) -> u(t(b(x1))) 53.31/14.61 b(u(x1)) -> b(s(x1)) 53.31/14.61 t(s(x1)) -> t(t(x1)) 53.31/14.61 t(u(x1)) -> u(t(x1)) 53.31/14.61 s(u(x1)) -> s(s(x1)) 53.31/14.61 53.31/14.61 Q is empty. 53.31/14.61 53.31/14.61 ---------------------------------------- 53.31/14.61 53.31/14.61 (1) FlatCCProof (EQUIVALENT) 53.31/14.61 We used flat context closure [ROOTLAB] 53.31/14.61 As Q is empty the flat context closure was sound AND complete. 53.31/14.61 53.31/14.61 ---------------------------------------- 53.31/14.61 53.31/14.61 (2) 53.31/14.61 Obligation: 53.31/14.61 Q restricted rewrite system: 53.31/14.61 The TRS R consists of the following rules: 53.31/14.61 53.31/14.61 b(u(x1)) -> b(s(x1)) 53.31/14.61 t(s(x1)) -> t(t(x1)) 53.31/14.61 s(u(x1)) -> s(s(x1)) 53.31/14.61 s(s(b(x1))) -> s(b(s(s(s(x1))))) 53.31/14.61 b(s(b(x1))) -> b(b(s(s(s(x1))))) 53.31/14.61 t(s(b(x1))) -> t(b(s(s(s(x1))))) 53.31/14.61 u(s(b(x1))) -> u(b(s(s(s(x1))))) 53.31/14.61 s(s(b(s(x1)))) -> s(b(t(x1))) 53.31/14.61 b(s(b(s(x1)))) -> b(b(t(x1))) 53.31/14.61 t(s(b(s(x1)))) -> t(b(t(x1))) 53.31/14.61 u(s(b(s(x1)))) -> u(b(t(x1))) 53.31/14.61 s(t(b(x1))) -> s(b(s(x1))) 53.31/14.61 b(t(b(x1))) -> b(b(s(x1))) 53.31/14.61 t(t(b(x1))) -> t(b(s(x1))) 53.31/14.61 u(t(b(x1))) -> u(b(s(x1))) 53.31/14.61 s(t(b(s(x1)))) -> s(u(t(b(x1)))) 53.31/14.61 b(t(b(s(x1)))) -> b(u(t(b(x1)))) 53.31/14.61 t(t(b(s(x1)))) -> t(u(t(b(x1)))) 53.31/14.61 u(t(b(s(x1)))) -> u(u(t(b(x1)))) 53.31/14.61 s(t(u(x1))) -> s(u(t(x1))) 53.31/14.61 b(t(u(x1))) -> b(u(t(x1))) 53.31/14.61 t(t(u(x1))) -> t(u(t(x1))) 53.31/14.61 u(t(u(x1))) -> u(u(t(x1))) 53.31/14.61 53.31/14.61 Q is empty. 53.31/14.61 53.31/14.61 ----------------------------------------
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