Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Standard 2019-03-29 03.29 pair #432289201
details
property
value
status
complete
benchmark
01.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n160.star.cs.uiowa.edu
space
Mixed_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
12.2186 seconds
cpu usage
38.299
user time
36.7932
system time
1.50581
max virtual memory
5.9799748E7
max residence set size
4169812.0
stage attributes
key
value
starexec-result
YES
output
37.33/10.45 YES 38.14/10.64 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 38.14/10.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 38.14/10.64 38.14/10.64 38.14/10.64 Termination w.r.t. Q of the given QTRS could be proven: 38.14/10.64 38.14/10.64 (0) QTRS 38.14/10.64 (1) QTRS Reverse [EQUIVALENT, 0 ms] 38.14/10.64 (2) QTRS 38.14/10.64 (3) DependencyPairsProof [EQUIVALENT, 16 ms] 38.14/10.64 (4) QDP 38.14/10.64 (5) MRRProof [EQUIVALENT, 71 ms] 38.14/10.64 (6) QDP 38.14/10.64 (7) QDPOrderProof [EQUIVALENT, 43 ms] 38.14/10.64 (8) QDP 38.14/10.64 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 38.14/10.64 (10) TRUE 38.14/10.64 38.14/10.64 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (0) 38.14/10.64 Obligation: 38.14/10.64 Q restricted rewrite system: 38.14/10.64 The TRS R consists of the following rules: 38.14/10.64 38.14/10.64 a(a(a(a(x1)))) -> a(b(a(b(x1)))) 38.14/10.64 b(a(b(x1))) -> a(b(a(x1))) 38.14/10.64 38.14/10.64 Q is empty. 38.14/10.64 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (1) QTRS Reverse (EQUIVALENT) 38.14/10.64 We applied the QTRS Reverse Processor [REVERSE]. 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (2) 38.14/10.64 Obligation: 38.14/10.64 Q restricted rewrite system: 38.14/10.64 The TRS R consists of the following rules: 38.14/10.64 38.14/10.64 a(a(a(a(x1)))) -> b(a(b(a(x1)))) 38.14/10.64 b(a(b(x1))) -> a(b(a(x1))) 38.14/10.64 38.14/10.64 Q is empty. 38.14/10.64 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (3) DependencyPairsProof (EQUIVALENT) 38.14/10.64 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (4) 38.14/10.64 Obligation: 38.14/10.64 Q DP problem: 38.14/10.64 The TRS P consists of the following rules: 38.14/10.64 38.14/10.64 A(a(a(a(x1)))) -> B(a(b(a(x1)))) 38.14/10.64 A(a(a(a(x1)))) -> A(b(a(x1))) 38.14/10.64 A(a(a(a(x1)))) -> B(a(x1)) 38.14/10.64 B(a(b(x1))) -> A(b(a(x1))) 38.14/10.64 B(a(b(x1))) -> B(a(x1)) 38.14/10.64 B(a(b(x1))) -> A(x1) 38.14/10.64 38.14/10.64 The TRS R consists of the following rules: 38.14/10.64 38.14/10.64 a(a(a(a(x1)))) -> b(a(b(a(x1)))) 38.14/10.64 b(a(b(x1))) -> a(b(a(x1))) 38.14/10.64 38.14/10.64 Q is empty. 38.14/10.64 We have to consider all minimal (P,Q,R)-chains. 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (5) MRRProof (EQUIVALENT) 38.14/10.64 By using the rule removal processor [LPAR04] with the following ordering, at least one Dependency Pair or term rewrite system rule of this QDP problem can be strictly oriented. 38.14/10.64 38.14/10.64 Strictly oriented dependency pairs: 38.14/10.64 38.14/10.64 A(a(a(a(x1)))) -> A(b(a(x1))) 38.14/10.64 A(a(a(a(x1)))) -> B(a(x1)) 38.14/10.64 B(a(b(x1))) -> B(a(x1)) 38.14/10.64 B(a(b(x1))) -> A(x1) 38.14/10.64 38.14/10.64 38.14/10.64 Used ordering: Polynomial interpretation [POLO]: 38.14/10.64 38.14/10.64 POL(A(x_1)) = 2 + 2*x_1 38.14/10.64 POL(B(x_1)) = 2 + 2*x_1 38.14/10.64 POL(a(x_1)) = 1 + x_1 38.14/10.64 POL(b(x_1)) = 1 + x_1 38.14/10.64 38.14/10.64 38.14/10.64 ---------------------------------------- 38.14/10.64 38.14/10.64 (6) 38.14/10.64 Obligation: 38.14/10.64 Q DP problem: 38.14/10.64 The TRS P consists of the following rules:
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