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SRS_Standard 2019-03-29 03.29 pair #432294913
details
property
value
status
complete
benchmark
random-498.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n104.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.28033 seconds
cpu usage
32.5679
user time
31.204
system time
1.36392
max virtual memory
8.235344E7
max residence set size
4132452.0
stage attributes
key
value
starexec-result
YES
output
32.23/9.15 YES 32.23/9.15 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 32.23/9.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 32.23/9.15 32.23/9.15 32.23/9.15 Termination w.r.t. Q of the given QTRS could be proven: 32.23/9.15 32.23/9.15 (0) QTRS 32.23/9.15 (1) QTRS Reverse [EQUIVALENT, 0 ms] 32.23/9.15 (2) QTRS 32.23/9.15 (3) DependencyPairsProof [EQUIVALENT, 20 ms] 32.23/9.15 (4) QDP 32.23/9.15 (5) QDPOrderProof [EQUIVALENT, 24 ms] 32.23/9.15 (6) QDP 32.23/9.15 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 32.23/9.15 (8) AND 32.23/9.15 (9) QDP 32.23/9.15 (10) QDPOrderProof [EQUIVALENT, 1206 ms] 32.23/9.15 (11) QDP 32.23/9.15 (12) PisEmptyProof [EQUIVALENT, 0 ms] 32.23/9.15 (13) YES 32.23/9.15 (14) QDP 32.23/9.15 (15) QDPOrderProof [EQUIVALENT, 0 ms] 32.23/9.15 (16) QDP 32.23/9.15 (17) PisEmptyProof [EQUIVALENT, 0 ms] 32.23/9.15 (18) YES 32.23/9.15 32.23/9.15 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (0) 32.23/9.15 Obligation: 32.23/9.15 Q restricted rewrite system: 32.23/9.15 The TRS R consists of the following rules: 32.23/9.15 32.23/9.15 b(b(b(b(x1)))) -> a(a(b(b(x1)))) 32.23/9.15 a(a(a(a(x1)))) -> b(a(a(a(x1)))) 32.23/9.15 a(b(a(b(x1)))) -> b(b(a(a(x1)))) 32.23/9.15 32.23/9.15 Q is empty. 32.23/9.15 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (1) QTRS Reverse (EQUIVALENT) 32.23/9.15 We applied the QTRS Reverse Processor [REVERSE]. 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (2) 32.23/9.15 Obligation: 32.23/9.15 Q restricted rewrite system: 32.23/9.15 The TRS R consists of the following rules: 32.23/9.15 32.23/9.15 b(b(b(b(x1)))) -> b(b(a(a(x1)))) 32.23/9.15 a(a(a(a(x1)))) -> a(a(a(b(x1)))) 32.23/9.15 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 32.23/9.15 32.23/9.15 Q is empty. 32.23/9.15 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (3) DependencyPairsProof (EQUIVALENT) 32.23/9.15 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (4) 32.23/9.15 Obligation: 32.23/9.15 Q DP problem: 32.23/9.15 The TRS P consists of the following rules: 32.23/9.15 32.23/9.15 B(b(b(b(x1)))) -> B(b(a(a(x1)))) 32.23/9.15 B(b(b(b(x1)))) -> B(a(a(x1))) 32.23/9.15 B(b(b(b(x1)))) -> A(a(x1)) 32.23/9.15 B(b(b(b(x1)))) -> A(x1) 32.23/9.15 A(a(a(a(x1)))) -> A(a(a(b(x1)))) 32.23/9.15 A(a(a(a(x1)))) -> A(a(b(x1))) 32.23/9.15 A(a(a(a(x1)))) -> A(b(x1)) 32.23/9.15 A(a(a(a(x1)))) -> B(x1) 32.23/9.15 B(a(b(a(x1)))) -> A(a(b(b(x1)))) 32.23/9.15 B(a(b(a(x1)))) -> A(b(b(x1))) 32.23/9.15 B(a(b(a(x1)))) -> B(b(x1)) 32.23/9.15 B(a(b(a(x1)))) -> B(x1) 32.23/9.15 32.23/9.15 The TRS R consists of the following rules: 32.23/9.15 32.23/9.15 b(b(b(b(x1)))) -> b(b(a(a(x1)))) 32.23/9.15 a(a(a(a(x1)))) -> a(a(a(b(x1)))) 32.23/9.15 b(a(b(a(x1)))) -> a(a(b(b(x1)))) 32.23/9.15 32.23/9.15 Q is empty. 32.23/9.15 We have to consider all minimal (P,Q,R)-chains. 32.23/9.15 ---------------------------------------- 32.23/9.15 32.23/9.15 (5) QDPOrderProof (EQUIVALENT) 32.23/9.15 We use the reduction pair processor [LPAR04,JAR06]. 32.23/9.15 32.23/9.15 32.23/9.15 The following pairs can be oriented strictly and are deleted. 32.23/9.15 32.23/9.15 B(b(b(b(x1)))) -> B(a(a(x1))) 32.23/9.15 B(b(b(b(x1)))) -> A(a(x1))
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