Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432294961
details
property
value
status
complete
benchmark
random-127.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n090.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.4905 seconds
cpu usage
25.5035
user time
24.0693
system time
1.43423
max virtual memory
6.2860216E7
max residence set size
4053624.0
stage attributes
key
value
starexec-result
YES
output
25.09/7.43 YES 25.09/7.44 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 25.09/7.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 25.09/7.44 25.09/7.44 25.09/7.44 Termination w.r.t. Q of the given QTRS could be proven: 25.09/7.44 25.09/7.44 (0) QTRS 25.09/7.44 (1) DependencyPairsProof [EQUIVALENT, 28 ms] 25.09/7.44 (2) QDP 25.09/7.44 (3) QDPOrderProof [EQUIVALENT, 36 ms] 25.09/7.44 (4) QDP 25.09/7.44 (5) QDPOrderProof [EQUIVALENT, 73 ms] 25.09/7.44 (6) QDP 25.09/7.44 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 25.09/7.44 (8) TRUE 25.09/7.44 25.09/7.44 25.09/7.44 ---------------------------------------- 25.09/7.44 25.09/7.44 (0) 25.09/7.44 Obligation: 25.09/7.44 Q restricted rewrite system: 25.09/7.44 The TRS R consists of the following rules: 25.09/7.44 25.09/7.44 a(a(a(a(x1)))) -> b(a(a(a(x1)))) 25.09/7.44 a(b(b(b(x1)))) -> b(a(b(a(x1)))) 25.09/7.44 b(b(a(a(x1)))) -> a(b(b(a(x1)))) 25.09/7.44 25.09/7.44 Q is empty. 25.09/7.44 25.09/7.44 ---------------------------------------- 25.09/7.44 25.09/7.44 (1) DependencyPairsProof (EQUIVALENT) 25.09/7.44 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 25.09/7.44 ---------------------------------------- 25.09/7.44 25.09/7.44 (2) 25.09/7.44 Obligation: 25.09/7.44 Q DP problem: 25.09/7.44 The TRS P consists of the following rules: 25.09/7.44 25.09/7.44 A(a(a(a(x1)))) -> B(a(a(a(x1)))) 25.09/7.44 A(b(b(b(x1)))) -> B(a(b(a(x1)))) 25.09/7.44 A(b(b(b(x1)))) -> A(b(a(x1))) 25.09/7.44 A(b(b(b(x1)))) -> B(a(x1)) 25.09/7.44 A(b(b(b(x1)))) -> A(x1) 25.09/7.44 B(b(a(a(x1)))) -> A(b(b(a(x1)))) 25.09/7.44 B(b(a(a(x1)))) -> B(b(a(x1))) 25.09/7.44 B(b(a(a(x1)))) -> B(a(x1)) 25.09/7.44 25.09/7.44 The TRS R consists of the following rules: 25.09/7.44 25.09/7.44 a(a(a(a(x1)))) -> b(a(a(a(x1)))) 25.09/7.44 a(b(b(b(x1)))) -> b(a(b(a(x1)))) 25.09/7.44 b(b(a(a(x1)))) -> a(b(b(a(x1)))) 25.09/7.44 25.09/7.44 Q is empty. 25.09/7.44 We have to consider all minimal (P,Q,R)-chains. 25.09/7.44 ---------------------------------------- 25.09/7.44 25.09/7.44 (3) QDPOrderProof (EQUIVALENT) 25.09/7.44 We use the reduction pair processor [LPAR04,JAR06]. 25.09/7.44 25.09/7.44 25.09/7.44 The following pairs can be oriented strictly and are deleted. 25.09/7.44 25.09/7.44 A(b(b(b(x1)))) -> A(b(a(x1))) 25.09/7.44 A(b(b(b(x1)))) -> B(a(x1)) 25.09/7.44 A(b(b(b(x1)))) -> A(x1) 25.09/7.44 B(b(a(a(x1)))) -> B(b(a(x1))) 25.09/7.44 B(b(a(a(x1)))) -> B(a(x1)) 25.09/7.44 The remaining pairs can at least be oriented weakly. 25.09/7.44 Used ordering: Polynomial interpretation [POLO]: 25.09/7.44 25.09/7.44 POL(A(x_1)) = 1 + x_1 25.09/7.44 POL(B(x_1)) = 1 + x_1 25.09/7.44 POL(a(x_1)) = 1 + x_1 25.09/7.44 POL(b(x_1)) = 1 + x_1 25.09/7.44 25.09/7.44 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: 25.09/7.44 25.09/7.44 b(b(a(a(x1)))) -> a(b(b(a(x1)))) 25.09/7.44 a(a(a(a(x1)))) -> b(a(a(a(x1)))) 25.09/7.44 a(b(b(b(x1)))) -> b(a(b(a(x1)))) 25.09/7.44 25.09/7.44 25.09/7.44 ---------------------------------------- 25.09/7.44 25.09/7.44 (4) 25.09/7.44 Obligation: 25.09/7.44 Q DP problem: 25.09/7.44 The TRS P consists of the following rules: 25.09/7.44 25.09/7.44 A(a(a(a(x1)))) -> B(a(a(a(x1)))) 25.09/7.44 A(b(b(b(x1)))) -> B(a(b(a(x1)))) 25.09/7.44 B(b(a(a(x1)))) -> A(b(b(a(x1)))) 25.09/7.44 25.09/7.44 The TRS R consists of the following rules: 25.09/7.44
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Standard 2019-03-29 03.29