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SRS_Standard 2019-03-29 03.29 pair #432295051
details
property
value
status
complete
benchmark
random-519.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)
28.4853 seconds
cpu usage
95.175
user time
93.0169
system time
2.15807
max virtual memory
6.2834848E7
max residence set size
5289888.0
stage attributes
key
value
starexec-result
YES
output
94.79/25.11 YES 94.79/25.13 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 94.79/25.13 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 94.79/25.13 94.79/25.13 94.79/25.13 Termination w.r.t. Q of the given QTRS could be proven: 94.79/25.13 94.79/25.13 (0) QTRS 94.79/25.13 (1) DependencyPairsProof [EQUIVALENT, 27 ms] 94.79/25.13 (2) QDP 94.79/25.13 (3) QDPOrderProof [EQUIVALENT, 36 ms] 94.79/25.13 (4) QDP 94.79/25.13 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 94.79/25.13 (6) AND 94.79/25.13 (7) QDP 94.79/25.13 (8) QDPOrderProof [EQUIVALENT, 6621 ms] 94.79/25.13 (9) QDP 94.79/25.13 (10) PisEmptyProof [EQUIVALENT, 0 ms] 94.79/25.13 (11) YES 94.79/25.13 (12) QDP 94.79/25.13 (13) QDPOrderProof [EQUIVALENT, 0 ms] 94.79/25.13 (14) QDP 94.79/25.13 (15) PisEmptyProof [EQUIVALENT, 0 ms] 94.79/25.13 (16) YES 94.79/25.13 94.79/25.13 94.79/25.13 ---------------------------------------- 94.79/25.13 94.79/25.13 (0) 94.79/25.13 Obligation: 94.79/25.13 Q restricted rewrite system: 94.79/25.13 The TRS R consists of the following rules: 94.79/25.13 94.79/25.13 b(b(b(a(x1)))) -> b(b(a(a(x1)))) 94.79/25.13 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 94.79/25.13 b(a(a(a(x1)))) -> a(a(a(b(x1)))) 94.79/25.13 94.79/25.13 Q is empty. 94.79/25.13 94.79/25.13 ---------------------------------------- 94.79/25.13 94.79/25.13 (1) DependencyPairsProof (EQUIVALENT) 94.79/25.13 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 94.79/25.13 ---------------------------------------- 94.79/25.13 94.79/25.13 (2) 94.79/25.13 Obligation: 94.79/25.13 Q DP problem: 94.79/25.13 The TRS P consists of the following rules: 94.79/25.13 94.79/25.13 B(b(b(a(x1)))) -> B(b(a(a(x1)))) 94.79/25.13 B(b(b(a(x1)))) -> B(a(a(x1))) 94.79/25.13 B(a(b(a(x1)))) -> B(a(b(b(x1)))) 94.79/25.13 B(a(b(a(x1)))) -> B(b(x1)) 94.79/25.13 B(a(b(a(x1)))) -> B(x1) 94.79/25.13 B(a(a(a(x1)))) -> B(x1) 94.79/25.13 94.79/25.13 The TRS R consists of the following rules: 94.79/25.13 94.79/25.13 b(b(b(a(x1)))) -> b(b(a(a(x1)))) 94.79/25.13 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 94.79/25.13 b(a(a(a(x1)))) -> a(a(a(b(x1)))) 94.79/25.13 94.79/25.13 Q is empty. 94.79/25.13 We have to consider all minimal (P,Q,R)-chains. 94.79/25.13 ---------------------------------------- 94.79/25.13 94.79/25.13 (3) QDPOrderProof (EQUIVALENT) 94.79/25.13 We use the reduction pair processor [LPAR04,JAR06]. 94.79/25.13 94.79/25.13 94.79/25.13 The following pairs can be oriented strictly and are deleted. 94.79/25.13 94.79/25.13 B(b(b(a(x1)))) -> B(a(a(x1))) 94.79/25.13 B(a(b(a(x1)))) -> B(b(x1)) 94.79/25.13 B(a(b(a(x1)))) -> B(x1) 94.79/25.13 B(a(a(a(x1)))) -> B(x1) 94.79/25.13 The remaining pairs can at least be oriented weakly. 94.79/25.13 Used ordering: Polynomial interpretation [POLO]: 94.79/25.13 94.79/25.13 POL(B(x_1)) = x_1 94.79/25.13 POL(a(x_1)) = 1 + x_1 94.79/25.13 POL(b(x_1)) = 1 + x_1 94.79/25.13 94.79/25.13 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: 94.79/25.13 94.79/25.13 b(a(a(a(x1)))) -> a(a(a(b(x1)))) 94.79/25.13 b(b(b(a(x1)))) -> b(b(a(a(x1)))) 94.79/25.13 b(a(b(a(x1)))) -> b(a(b(b(x1)))) 94.79/25.13 94.79/25.13 94.79/25.13 ---------------------------------------- 94.79/25.13 94.79/25.13 (4) 94.79/25.13 Obligation: 94.79/25.13 Q DP problem: 94.79/25.13 The TRS P consists of the following rules: 94.79/25.13 94.79/25.13 B(b(b(a(x1)))) -> B(b(a(a(x1)))) 94.79/25.13 B(a(b(a(x1)))) -> B(a(b(b(x1))))
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