Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432290653
details
property
value
status
complete
benchmark
size-12-alpha-3-num-203.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n063.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.3652 seconds
cpu usage
40.3832
user time
38.7685
system time
1.61472
max virtual memory
8.3795876E7
max residence set size
4317800.0
stage attributes
key
value
starexec-result
YES
output
39.63/11.15 YES 40.04/11.18 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 40.04/11.18 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 40.04/11.18 40.04/11.18 40.04/11.18 Termination w.r.t. Q of the given QTRS could be proven: 40.04/11.18 40.04/11.18 (0) QTRS 40.04/11.18 (1) QTRS Reverse [EQUIVALENT, 0 ms] 40.04/11.18 (2) QTRS 40.04/11.18 (3) DependencyPairsProof [EQUIVALENT, 22 ms] 40.04/11.18 (4) QDP 40.04/11.18 (5) DependencyGraphProof [EQUIVALENT, 1 ms] 40.04/11.18 (6) QDP 40.04/11.18 (7) QDPOrderProof [EQUIVALENT, 58 ms] 40.04/11.18 (8) QDP 40.04/11.18 (9) UsableRulesProof [EQUIVALENT, 0 ms] 40.04/11.18 (10) QDP 40.04/11.18 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 40.04/11.18 (12) YES 40.04/11.18 40.04/11.18 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (0) 40.04/11.18 Obligation: 40.04/11.18 Q restricted rewrite system: 40.04/11.18 The TRS R consists of the following rules: 40.04/11.18 40.04/11.18 a(x1) -> x1 40.04/11.18 a(b(x1)) -> b(b(a(c(x1)))) 40.04/11.18 b(b(x1)) -> x1 40.04/11.18 c(c(x1)) -> a(x1) 40.04/11.18 40.04/11.18 Q is empty. 40.04/11.18 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (1) QTRS Reverse (EQUIVALENT) 40.04/11.18 We applied the QTRS Reverse Processor [REVERSE]. 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (2) 40.04/11.18 Obligation: 40.04/11.18 Q restricted rewrite system: 40.04/11.18 The TRS R consists of the following rules: 40.04/11.18 40.04/11.18 a(x1) -> x1 40.04/11.18 b(a(x1)) -> c(a(b(b(x1)))) 40.04/11.18 b(b(x1)) -> x1 40.04/11.18 c(c(x1)) -> a(x1) 40.04/11.18 40.04/11.18 Q is empty. 40.04/11.18 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (3) DependencyPairsProof (EQUIVALENT) 40.04/11.18 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (4) 40.04/11.18 Obligation: 40.04/11.18 Q DP problem: 40.04/11.18 The TRS P consists of the following rules: 40.04/11.18 40.04/11.18 B(a(x1)) -> C(a(b(b(x1)))) 40.04/11.18 B(a(x1)) -> A(b(b(x1))) 40.04/11.18 B(a(x1)) -> B(b(x1)) 40.04/11.18 B(a(x1)) -> B(x1) 40.04/11.18 C(c(x1)) -> A(x1) 40.04/11.18 40.04/11.18 The TRS R consists of the following rules: 40.04/11.18 40.04/11.18 a(x1) -> x1 40.04/11.18 b(a(x1)) -> c(a(b(b(x1)))) 40.04/11.18 b(b(x1)) -> x1 40.04/11.18 c(c(x1)) -> a(x1) 40.04/11.18 40.04/11.18 Q is empty. 40.04/11.18 We have to consider all minimal (P,Q,R)-chains. 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (5) DependencyGraphProof (EQUIVALENT) 40.04/11.18 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes. 40.04/11.18 ---------------------------------------- 40.04/11.18 40.04/11.18 (6) 40.04/11.18 Obligation: 40.04/11.18 Q DP problem: 40.04/11.18 The TRS P consists of the following rules: 40.04/11.18 40.04/11.18 B(a(x1)) -> B(x1) 40.04/11.18 B(a(x1)) -> B(b(x1)) 40.04/11.18 40.04/11.18 The TRS R consists of the following rules: 40.04/11.18 40.04/11.18 a(x1) -> x1 40.04/11.18 b(a(x1)) -> c(a(b(b(x1)))) 40.04/11.18 b(b(x1)) -> x1 40.04/11.18 c(c(x1)) -> a(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