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SRS_Standard 2019-03-29 03.29 pair #432291499
details
property
value
status
complete
benchmark
size-12-alpha-3-num-180.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n093.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.1243 seconds
cpu usage
47.9509
user time
45.9706
system time
1.98024
max virtual memory
6.287592E7
max residence set size
4449832.0
stage attributes
key
value
starexec-result
YES
output
47.62/13.00 YES 47.62/13.03 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 47.62/13.03 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 47.62/13.03 47.62/13.03 47.62/13.03 Termination w.r.t. Q of the given QTRS could be proven: 47.62/13.03 47.62/13.03 (0) QTRS 47.62/13.03 (1) QTRS Reverse [EQUIVALENT, 0 ms] 47.62/13.03 (2) QTRS 47.62/13.03 (3) FlatCCProof [EQUIVALENT, 0 ms] 47.62/13.03 (4) QTRS 47.62/13.03 (5) RootLabelingProof [EQUIVALENT, 0 ms] 47.62/13.03 (6) QTRS 47.62/13.03 (7) QTRSRRRProof [EQUIVALENT, 84 ms] 47.62/13.03 (8) QTRS 47.62/13.03 (9) DependencyPairsProof [EQUIVALENT, 120 ms] 47.62/13.03 (10) QDP 47.62/13.03 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 47.62/13.03 (12) QDP 47.62/13.03 (13) QDPOrderProof [EQUIVALENT, 220 ms] 47.62/13.03 (14) QDP 47.62/13.03 (15) DependencyGraphProof [EQUIVALENT, 0 ms] 47.62/13.03 (16) AND 47.62/13.03 (17) QDP 47.62/13.03 (18) UsableRulesProof [EQUIVALENT, 0 ms] 47.62/13.03 (19) QDP 47.62/13.03 (20) QDPSizeChangeProof [EQUIVALENT, 0 ms] 47.62/13.03 (21) YES 47.62/13.03 (22) QDP 47.62/13.03 (23) UsableRulesProof [EQUIVALENT, 0 ms] 47.62/13.03 (24) QDP 47.62/13.03 (25) QDPSizeChangeProof [EQUIVALENT, 0 ms] 47.62/13.03 (26) YES 47.62/13.03 47.62/13.03 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (0) 47.62/13.03 Obligation: 47.62/13.03 Q restricted rewrite system: 47.62/13.03 The TRS R consists of the following rules: 47.62/13.03 47.62/13.03 a(x1) -> x1 47.62/13.03 a(b(x1)) -> b(a(c(b(a(c(x1)))))) 47.62/13.03 b(x1) -> x1 47.62/13.03 c(c(x1)) -> x1 47.62/13.03 47.62/13.03 Q is empty. 47.62/13.03 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (1) QTRS Reverse (EQUIVALENT) 47.62/13.03 We applied the QTRS Reverse Processor [REVERSE]. 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (2) 47.62/13.03 Obligation: 47.62/13.03 Q restricted rewrite system: 47.62/13.03 The TRS R consists of the following rules: 47.62/13.03 47.62/13.03 a(x1) -> x1 47.62/13.03 b(a(x1)) -> c(a(b(c(a(b(x1)))))) 47.62/13.03 b(x1) -> x1 47.62/13.03 c(c(x1)) -> x1 47.62/13.03 47.62/13.03 Q is empty. 47.62/13.03 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (3) FlatCCProof (EQUIVALENT) 47.62/13.03 We used flat context closure [ROOTLAB] 47.62/13.03 As Q is empty the flat context closure was sound AND complete. 47.62/13.03 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (4) 47.62/13.03 Obligation: 47.62/13.03 Q restricted rewrite system: 47.62/13.03 The TRS R consists of the following rules: 47.62/13.03 47.62/13.03 a(a(x1)) -> a(x1) 47.62/13.03 b(a(x1)) -> b(x1) 47.62/13.03 c(a(x1)) -> c(x1) 47.62/13.03 a(b(a(x1))) -> a(c(a(b(c(a(b(x1))))))) 47.62/13.03 b(b(a(x1))) -> b(c(a(b(c(a(b(x1))))))) 47.62/13.03 c(b(a(x1))) -> c(c(a(b(c(a(b(x1))))))) 47.62/13.03 a(b(x1)) -> a(x1) 47.62/13.03 b(b(x1)) -> b(x1) 47.62/13.03 c(b(x1)) -> c(x1) 47.62/13.03 a(c(c(x1))) -> a(x1) 47.62/13.03 b(c(c(x1))) -> b(x1) 47.62/13.03 c(c(c(x1))) -> c(x1) 47.62/13.03 47.62/13.03 Q is empty. 47.62/13.03 47.62/13.03 ---------------------------------------- 47.62/13.03 47.62/13.03 (5) RootLabelingProof (EQUIVALENT) 47.62/13.03 We used plain root labeling [ROOTLAB] with the following heuristic:
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