Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432291685
details
property
value
status
complete
benchmark
z106.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n099.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.57721 seconds
cpu usage
6.8769
user time
6.50898
system time
0.367922
max virtual memory
1.9276276E7
max residence set size
909768.0
stage attributes
key
value
starexec-result
YES
output
6.53/2.44 YES 6.53/2.49 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 6.53/2.49 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 6.53/2.49 6.53/2.49 6.53/2.49 Termination w.r.t. Q of the given QTRS could be proven: 6.53/2.49 6.53/2.49 (0) QTRS 6.53/2.49 (1) QTRS Reverse [EQUIVALENT, 0 ms] 6.53/2.49 (2) QTRS 6.53/2.49 (3) QTRSRRRProof [EQUIVALENT, 3 ms] 6.53/2.49 (4) QTRS 6.53/2.49 (5) Overlay + Local Confluence [EQUIVALENT, 0 ms] 6.53/2.49 (6) QTRS 6.53/2.49 (7) DependencyPairsProof [EQUIVALENT, 2 ms] 6.53/2.49 (8) QDP 6.53/2.49 (9) UsableRulesProof [EQUIVALENT, 1 ms] 6.53/2.49 (10) QDP 6.53/2.49 (11) QReductionProof [EQUIVALENT, 0 ms] 6.53/2.49 (12) QDP 6.53/2.49 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 6.53/2.49 (14) YES 6.53/2.49 6.53/2.49 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (0) 6.53/2.49 Obligation: 6.53/2.49 Q restricted rewrite system: 6.53/2.49 The TRS R consists of the following rules: 6.53/2.49 6.53/2.49 a(a(x1)) -> b(b(b(x1))) 6.53/2.49 b(x1) -> c(c(d(x1))) 6.53/2.49 c(x1) -> d(d(d(x1))) 6.53/2.49 b(c(x1)) -> c(b(x1)) 6.53/2.49 b(c(d(x1))) -> a(x1) 6.53/2.49 6.53/2.49 Q is empty. 6.53/2.49 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (1) QTRS Reverse (EQUIVALENT) 6.53/2.49 We applied the QTRS Reverse Processor [REVERSE]. 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (2) 6.53/2.49 Obligation: 6.53/2.49 Q restricted rewrite system: 6.53/2.49 The TRS R consists of the following rules: 6.53/2.49 6.53/2.49 a(a(x1)) -> b(b(b(x1))) 6.53/2.49 b(x1) -> d(c(c(x1))) 6.53/2.49 c(x1) -> d(d(d(x1))) 6.53/2.49 c(b(x1)) -> b(c(x1)) 6.53/2.49 d(c(b(x1))) -> a(x1) 6.53/2.49 6.53/2.49 Q is empty. 6.53/2.49 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (3) QTRSRRRProof (EQUIVALENT) 6.53/2.49 Used ordering: 6.53/2.49 Polynomial interpretation [POLO]: 6.53/2.49 6.53/2.49 POL(a(x_1)) = 47 + x_1 6.53/2.49 POL(b(x_1)) = 31 + x_1 6.53/2.49 POL(c(x_1)) = 13 + x_1 6.53/2.49 POL(d(x_1)) = 4 + x_1 6.53/2.49 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 6.53/2.49 6.53/2.49 a(a(x1)) -> b(b(b(x1))) 6.53/2.49 b(x1) -> d(c(c(x1))) 6.53/2.49 c(x1) -> d(d(d(x1))) 6.53/2.49 d(c(b(x1))) -> a(x1) 6.53/2.49 6.53/2.49 6.53/2.49 6.53/2.49 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (4) 6.53/2.49 Obligation: 6.53/2.49 Q restricted rewrite system: 6.53/2.49 The TRS R consists of the following rules: 6.53/2.49 6.53/2.49 c(b(x1)) -> b(c(x1)) 6.53/2.49 6.53/2.49 Q is empty. 6.53/2.49 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (5) Overlay + Local Confluence (EQUIVALENT) 6.53/2.49 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 6.53/2.49 ---------------------------------------- 6.53/2.49 6.53/2.49 (6) 6.53/2.49 Obligation: 6.53/2.49 Q restricted rewrite system: 6.53/2.49 The TRS R consists of the following rules: 6.53/2.49
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