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SRS_Standard 2019-03-29 03.29 pair #432294625
details
property
value
status
complete
benchmark
random-404.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n107.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.2277 seconds
cpu usage
30.032
user time
28.8249
system time
1.20708
max virtual memory
7.9692072E7
max residence set size
3738312.0
stage attributes
key
value
starexec-result
YES
output
28.87/8.27 YES 29.92/8.78 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 29.92/8.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.92/8.78 29.92/8.78 29.92/8.78 Termination w.r.t. Q of the given QTRS could be proven: 29.92/8.78 29.92/8.78 (0) QTRS 29.92/8.78 (1) QTRS Reverse [EQUIVALENT, 0 ms] 29.92/8.78 (2) QTRS 29.92/8.78 (3) DependencyPairsProof [EQUIVALENT, 30 ms] 29.92/8.78 (4) QDP 29.92/8.78 (5) DependencyGraphProof [EQUIVALENT, 4 ms] 29.92/8.78 (6) QDP 29.92/8.78 (7) QDPOrderProof [EQUIVALENT, 71 ms] 29.92/8.78 (8) QDP 29.92/8.78 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 29.92/8.78 (10) QDP 29.92/8.78 (11) QDPOrderProof [EQUIVALENT, 205 ms] 29.92/8.78 (12) QDP 29.92/8.78 (13) PisEmptyProof [EQUIVALENT, 0 ms] 29.92/8.78 (14) YES 29.92/8.78 29.92/8.78 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (0) 29.92/8.78 Obligation: 29.92/8.78 Q restricted rewrite system: 29.92/8.78 The TRS R consists of the following rules: 29.92/8.78 29.92/8.78 b(a(b(b(x1)))) -> b(b(a(a(x1)))) 29.92/8.78 a(a(b(b(x1)))) -> a(b(a(a(x1)))) 29.92/8.78 b(b(b(b(x1)))) -> b(a(a(a(x1)))) 29.92/8.78 a(b(a(a(x1)))) -> a(b(b(a(x1)))) 29.92/8.78 29.92/8.78 Q is empty. 29.92/8.78 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (1) QTRS Reverse (EQUIVALENT) 29.92/8.78 We applied the QTRS Reverse Processor [REVERSE]. 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (2) 29.92/8.78 Obligation: 29.92/8.78 Q restricted rewrite system: 29.92/8.78 The TRS R consists of the following rules: 29.92/8.78 29.92/8.78 b(b(a(b(x1)))) -> a(a(b(b(x1)))) 29.92/8.78 b(b(a(a(x1)))) -> a(a(b(a(x1)))) 29.92/8.78 b(b(b(b(x1)))) -> a(a(a(b(x1)))) 29.92/8.78 a(a(b(a(x1)))) -> a(b(b(a(x1)))) 29.92/8.78 29.92/8.78 Q is empty. 29.92/8.78 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (3) DependencyPairsProof (EQUIVALENT) 29.92/8.78 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (4) 29.92/8.78 Obligation: 29.92/8.78 Q DP problem: 29.92/8.78 The TRS P consists of the following rules: 29.92/8.78 29.92/8.78 B(b(a(b(x1)))) -> A(a(b(b(x1)))) 29.92/8.78 B(b(a(b(x1)))) -> A(b(b(x1))) 29.92/8.78 B(b(a(b(x1)))) -> B(b(x1)) 29.92/8.78 B(b(a(a(x1)))) -> A(a(b(a(x1)))) 29.92/8.78 B(b(a(a(x1)))) -> A(b(a(x1))) 29.92/8.78 B(b(a(a(x1)))) -> B(a(x1)) 29.92/8.78 B(b(b(b(x1)))) -> A(a(a(b(x1)))) 29.92/8.78 B(b(b(b(x1)))) -> A(a(b(x1))) 29.92/8.78 B(b(b(b(x1)))) -> A(b(x1)) 29.92/8.78 A(a(b(a(x1)))) -> A(b(b(a(x1)))) 29.92/8.78 A(a(b(a(x1)))) -> B(b(a(x1))) 29.92/8.78 29.92/8.78 The TRS R consists of the following rules: 29.92/8.78 29.92/8.78 b(b(a(b(x1)))) -> a(a(b(b(x1)))) 29.92/8.78 b(b(a(a(x1)))) -> a(a(b(a(x1)))) 29.92/8.78 b(b(b(b(x1)))) -> a(a(a(b(x1)))) 29.92/8.78 a(a(b(a(x1)))) -> a(b(b(a(x1)))) 29.92/8.78 29.92/8.78 Q is empty. 29.92/8.78 We have to consider all minimal (P,Q,R)-chains. 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (5) DependencyGraphProof (EQUIVALENT) 29.92/8.78 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 1 less node. 29.92/8.78 ---------------------------------------- 29.92/8.78 29.92/8.78 (6) 29.92/8.78 Obligation: 29.92/8.78 Q DP problem: 29.92/8.78 The TRS P consists of the following rules: 29.92/8.78 29.92/8.78 A(a(b(a(x1)))) -> A(b(b(a(x1))))
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