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SRS_Standard 2019-03-29 03.29 pair #432294673
details
property
value
status
complete
benchmark
random-101.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n132.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
14.098 seconds
cpu usage
43.38
user time
41.6699
system time
1.71012
max virtual memory
8.3704488E7
max residence set size
4527700.0
stage attributes
key
value
starexec-result
YES
output
42.52/12.26 YES 43.10/12.33 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 43.10/12.33 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.10/12.33 43.10/12.33 43.10/12.33 Termination w.r.t. Q of the given QTRS could be proven: 43.10/12.33 43.10/12.33 (0) QTRS 43.10/12.33 (1) QTRS Reverse [EQUIVALENT, 0 ms] 43.10/12.33 (2) QTRS 43.10/12.33 (3) DependencyPairsProof [EQUIVALENT, 8 ms] 43.10/12.33 (4) QDP 43.10/12.33 (5) DependencyGraphProof [EQUIVALENT, 3 ms] 43.10/12.33 (6) AND 43.10/12.33 (7) QDP 43.10/12.33 (8) UsableRulesProof [EQUIVALENT, 0 ms] 43.10/12.33 (9) QDP 43.10/12.33 (10) DependencyGraphProof [EQUIVALENT, 0 ms] 43.10/12.33 (11) QDP 43.10/12.33 (12) MNOCProof [EQUIVALENT, 0 ms] 43.10/12.33 (13) QDP 43.10/12.33 (14) UsableRulesProof [EQUIVALENT, 0 ms] 43.10/12.33 (15) QDP 43.10/12.33 (16) QReductionProof [EQUIVALENT, 1 ms] 43.10/12.33 (17) QDP 43.10/12.33 (18) QDPSizeChangeProof [EQUIVALENT, 0 ms] 43.10/12.33 (19) YES 43.10/12.33 (20) QDP 43.10/12.33 (21) QDPOrderProof [EQUIVALENT, 22 ms] 43.10/12.33 (22) QDP 43.10/12.33 (23) QDPOrderProof [EQUIVALENT, 679 ms] 43.10/12.33 (24) QDP 43.10/12.33 (25) PisEmptyProof [EQUIVALENT, 0 ms] 43.10/12.33 (26) YES 43.10/12.33 43.10/12.33 43.10/12.33 ---------------------------------------- 43.10/12.33 43.10/12.33 (0) 43.10/12.33 Obligation: 43.10/12.33 Q restricted rewrite system: 43.10/12.33 The TRS R consists of the following rules: 43.10/12.33 43.10/12.33 b(b(b(a(x1)))) -> a(b(a(a(x1)))) 43.10/12.33 a(a(a(a(x1)))) -> b(a(a(b(x1)))) 43.10/12.33 a(a(a(b(x1)))) -> b(b(b(b(x1)))) 43.10/12.33 43.10/12.33 Q is empty. 43.10/12.33 43.10/12.33 ---------------------------------------- 43.10/12.33 43.10/12.33 (1) QTRS Reverse (EQUIVALENT) 43.10/12.33 We applied the QTRS Reverse Processor [REVERSE]. 43.10/12.33 ---------------------------------------- 43.10/12.33 43.10/12.33 (2) 43.10/12.33 Obligation: 43.10/12.33 Q restricted rewrite system: 43.10/12.33 The TRS R consists of the following rules: 43.10/12.33 43.10/12.33 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.10/12.33 a(a(a(a(x1)))) -> b(a(a(b(x1)))) 43.10/12.33 b(a(a(a(x1)))) -> b(b(b(b(x1)))) 43.10/12.33 43.10/12.33 Q is empty. 43.10/12.33 43.10/12.33 ---------------------------------------- 43.10/12.33 43.10/12.33 (3) DependencyPairsProof (EQUIVALENT) 43.10/12.33 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 43.10/12.33 ---------------------------------------- 43.10/12.33 43.10/12.33 (4) 43.10/12.33 Obligation: 43.10/12.33 Q DP problem: 43.10/12.33 The TRS P consists of the following rules: 43.10/12.33 43.10/12.33 A(b(b(b(x1)))) -> A(a(b(a(x1)))) 43.10/12.33 A(b(b(b(x1)))) -> A(b(a(x1))) 43.10/12.33 A(b(b(b(x1)))) -> B(a(x1)) 43.10/12.33 A(b(b(b(x1)))) -> A(x1) 43.10/12.33 A(a(a(a(x1)))) -> B(a(a(b(x1)))) 43.10/12.33 A(a(a(a(x1)))) -> A(a(b(x1))) 43.10/12.33 A(a(a(a(x1)))) -> A(b(x1)) 43.10/12.33 A(a(a(a(x1)))) -> B(x1) 43.10/12.33 B(a(a(a(x1)))) -> B(b(b(b(x1)))) 43.10/12.33 B(a(a(a(x1)))) -> B(b(b(x1))) 43.10/12.33 B(a(a(a(x1)))) -> B(b(x1)) 43.10/12.33 B(a(a(a(x1)))) -> B(x1) 43.10/12.33 43.10/12.33 The TRS R consists of the following rules: 43.10/12.33 43.10/12.33 a(b(b(b(x1)))) -> a(a(b(a(x1)))) 43.10/12.33 a(a(a(a(x1)))) -> b(a(a(b(x1)))) 43.10/12.33 b(a(a(a(x1)))) -> b(b(b(b(x1)))) 43.10/12.33 43.10/12.33 Q is empty. 43.10/12.33 We have to consider all minimal (P,Q,R)-chains. 43.10/12.33 ---------------------------------------- 43.10/12.33
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