Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432294823
details
property
value
status
complete
benchmark
random-185.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
10.3496 seconds
cpu usage
22.0997
user time
20.8451
system time
1.25457
max virtual memory
5.9198272E7
max residence set size
3806576.0
stage attributes
key
value
starexec-result
YES
output
20.54/6.19 YES 21.91/6.52 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 21.91/6.52 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.91/6.52 21.91/6.52 21.91/6.52 Termination w.r.t. Q of the given QTRS could be proven: 21.91/6.52 21.91/6.52 (0) QTRS 21.91/6.52 (1) QTRS Reverse [EQUIVALENT, 0 ms] 21.91/6.52 (2) QTRS 21.91/6.52 (3) DependencyPairsProof [EQUIVALENT, 5 ms] 21.91/6.52 (4) QDP 21.91/6.52 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 21.91/6.52 (6) QDP 21.91/6.52 (7) MRRProof [EQUIVALENT, 54 ms] 21.91/6.52 (8) QDP 21.91/6.52 (9) QDPOrderProof [EQUIVALENT, 85 ms] 21.91/6.52 (10) QDP 21.91/6.52 (11) PisEmptyProof [EQUIVALENT, 0 ms] 21.91/6.52 (12) YES 21.91/6.52 21.91/6.52 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (0) 21.91/6.52 Obligation: 21.91/6.52 Q restricted rewrite system: 21.91/6.52 The TRS R consists of the following rules: 21.91/6.52 21.91/6.52 a(a(a(a(x1)))) -> b(a(b(b(x1)))) 21.91/6.52 b(b(a(a(x1)))) -> a(a(b(b(x1)))) 21.91/6.52 b(a(b(b(x1)))) -> a(a(b(b(x1)))) 21.91/6.52 21.91/6.52 Q is empty. 21.91/6.52 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (1) QTRS Reverse (EQUIVALENT) 21.91/6.52 We applied the QTRS Reverse Processor [REVERSE]. 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (2) 21.91/6.52 Obligation: 21.91/6.52 Q restricted rewrite system: 21.91/6.52 The TRS R consists of the following rules: 21.91/6.52 21.91/6.52 a(a(a(a(x1)))) -> b(b(a(b(x1)))) 21.91/6.52 a(a(b(b(x1)))) -> b(b(a(a(x1)))) 21.91/6.52 b(b(a(b(x1)))) -> b(b(a(a(x1)))) 21.91/6.52 21.91/6.52 Q is empty. 21.91/6.52 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (3) DependencyPairsProof (EQUIVALENT) 21.91/6.52 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (4) 21.91/6.52 Obligation: 21.91/6.52 Q DP problem: 21.91/6.52 The TRS P consists of the following rules: 21.91/6.52 21.91/6.52 A(a(a(a(x1)))) -> B(b(a(b(x1)))) 21.91/6.52 A(a(a(a(x1)))) -> B(a(b(x1))) 21.91/6.52 A(a(a(a(x1)))) -> A(b(x1)) 21.91/6.52 A(a(a(a(x1)))) -> B(x1) 21.91/6.52 A(a(b(b(x1)))) -> B(b(a(a(x1)))) 21.91/6.52 A(a(b(b(x1)))) -> B(a(a(x1))) 21.91/6.52 A(a(b(b(x1)))) -> A(a(x1)) 21.91/6.52 A(a(b(b(x1)))) -> A(x1) 21.91/6.52 B(b(a(b(x1)))) -> B(b(a(a(x1)))) 21.91/6.52 B(b(a(b(x1)))) -> B(a(a(x1))) 21.91/6.52 B(b(a(b(x1)))) -> A(a(x1)) 21.91/6.52 B(b(a(b(x1)))) -> A(x1) 21.91/6.52 21.91/6.52 The TRS R consists of the following rules: 21.91/6.52 21.91/6.52 a(a(a(a(x1)))) -> b(b(a(b(x1)))) 21.91/6.52 a(a(b(b(x1)))) -> b(b(a(a(x1)))) 21.91/6.52 b(b(a(b(x1)))) -> b(b(a(a(x1)))) 21.91/6.52 21.91/6.52 Q is empty. 21.91/6.52 We have to consider all minimal (P,Q,R)-chains. 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (5) DependencyGraphProof (EQUIVALENT) 21.91/6.52 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes. 21.91/6.52 ---------------------------------------- 21.91/6.52 21.91/6.52 (6) 21.91/6.52 Obligation: 21.91/6.52 Q DP problem: 21.91/6.52 The TRS P consists of the following rules: 21.91/6.52 21.91/6.52 B(b(a(b(x1)))) -> B(b(a(a(x1)))) 21.91/6.52 B(b(a(b(x1)))) -> A(a(x1)) 21.91/6.52 A(a(a(a(x1)))) -> B(b(a(b(x1)))) 21.91/6.52 B(b(a(b(x1)))) -> A(x1) 21.91/6.52 A(a(a(a(x1)))) -> B(x1)
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