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SRS_Standard 2019-03-29 03.29 pair #432294109
details
property
value
status
complete
benchmark
secr5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Secret_06_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
40.0108 seconds
cpu usage
153.355
user time
149.807
system time
3.54803
max virtual memory
7.9695272E7
max residence set size
5792604.0
stage attributes
key
value
starexec-result
YES
output
152.44/39.76 YES 152.89/39.85 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 152.89/39.85 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 152.89/39.85 152.89/39.85 152.89/39.85 Termination w.r.t. Q of the given QTRS could be proven: 152.89/39.85 152.89/39.85 (0) QTRS 152.89/39.85 (1) QTRS Reverse [EQUIVALENT, 0 ms] 152.89/39.85 (2) QTRS 152.89/39.85 (3) FlatCCProof [EQUIVALENT, 0 ms] 152.89/39.85 (4) QTRS 152.89/39.85 (5) RootLabelingProof [EQUIVALENT, 0 ms] 152.89/39.85 (6) QTRS 152.89/39.85 (7) QTRSRRRProof [EQUIVALENT, 98 ms] 152.89/39.85 (8) QTRS 152.89/39.85 (9) DependencyPairsProof [EQUIVALENT, 161 ms] 152.89/39.85 (10) QDP 152.89/39.85 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 152.89/39.85 (12) QDP 152.89/39.85 (13) QDPOrderProof [EQUIVALENT, 782 ms] 152.89/39.85 (14) QDP 152.89/39.85 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 152.89/39.85 (16) AND 152.89/39.85 (17) QDP 152.89/39.85 (18) UsableRulesProof [EQUIVALENT, 0 ms] 152.89/39.85 (19) QDP 152.89/39.85 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 152.89/39.85 (21) YES 152.89/39.85 (22) QDP 152.89/39.85 (23) QDPOrderProof [EQUIVALENT, 52 ms] 152.89/39.85 (24) QDP 152.89/39.85 (25) QDPOrderProof [EQUIVALENT, 496 ms] 152.89/39.85 (26) QDP 152.89/39.85 (27) QDPOrderProof [EQUIVALENT, 6963 ms] 152.89/39.85 (28) QDP 152.89/39.85 (29) QDPOrderProof [EQUIVALENT, 39 ms] 152.89/39.85 (30) QDP 152.89/39.85 (31) QDPOrderProof [EQUIVALENT, 31 ms] 152.89/39.85 (32) QDP 152.89/39.85 (33) PisEmptyProof [EQUIVALENT, 0 ms] 152.89/39.85 (34) YES 152.89/39.85 152.89/39.85 152.89/39.85 ---------------------------------------- 152.89/39.85 152.89/39.85 (0) 152.89/39.85 Obligation: 152.89/39.85 Q restricted rewrite system: 152.89/39.85 The TRS R consists of the following rules: 152.89/39.85 152.89/39.85 a(c(x1)) -> a(x1) 152.89/39.85 d(a(x1)) -> a(c(b(c(d(x1))))) 152.89/39.85 a(c(b(c(x1)))) -> c(b(c(c(x1)))) 152.89/39.85 c(x1) -> b(a(a(x1))) 152.89/39.85 d(c(x1)) -> a(c(d(a(x1)))) 152.89/39.85 152.89/39.85 Q is empty. 152.89/39.85 152.89/39.85 ---------------------------------------- 152.89/39.85 152.89/39.85 (1) QTRS Reverse (EQUIVALENT) 152.89/39.85 We applied the QTRS Reverse Processor [REVERSE]. 152.89/39.85 ---------------------------------------- 152.89/39.85 152.89/39.85 (2) 152.89/39.85 Obligation: 152.89/39.85 Q restricted rewrite system: 152.89/39.85 The TRS R consists of the following rules: 152.89/39.85 152.89/39.85 c(a(x1)) -> a(x1) 152.89/39.85 a(d(x1)) -> d(c(b(c(a(x1))))) 152.89/39.85 c(b(c(a(x1)))) -> c(c(b(c(x1)))) 152.89/39.85 c(x1) -> a(a(b(x1))) 152.89/39.85 c(d(x1)) -> a(d(c(a(x1)))) 152.89/39.85 152.89/39.85 Q is empty. 152.89/39.85 152.89/39.85 ---------------------------------------- 152.89/39.85 152.89/39.85 (3) FlatCCProof (EQUIVALENT) 152.89/39.85 We used flat context closure [ROOTLAB] 152.89/39.85 As Q is empty the flat context closure was sound AND complete. 152.89/39.85 152.89/39.85 ---------------------------------------- 152.89/39.85 152.89/39.85 (4) 152.89/39.85 Obligation: 152.89/39.85 Q restricted rewrite system: 152.89/39.85 The TRS R consists of the following rules: 152.89/39.85 152.89/39.85 c(b(c(a(x1)))) -> c(c(b(c(x1)))) 152.89/39.85 c(c(a(x1))) -> c(a(x1)) 152.89/39.85 a(c(a(x1))) -> a(a(x1)) 152.89/39.85 d(c(a(x1))) -> d(a(x1)) 152.89/39.85 b(c(a(x1))) -> b(a(x1)) 152.89/39.85 c(a(d(x1))) -> c(d(c(b(c(a(x1)))))) 152.89/39.85 a(a(d(x1))) -> a(d(c(b(c(a(x1)))))) 152.89/39.85 d(a(d(x1))) -> d(d(c(b(c(a(x1)))))) 152.89/39.85 b(a(d(x1))) -> b(d(c(b(c(a(x1))))))
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