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SRS_Standard 2019-03-29 03.29 pair #432289135
details
property
value
status
complete
benchmark
jambox5.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
Secret_05_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
17.5813 seconds
cpu usage
65.0451
user time
62.6868
system time
2.35829
max virtual memory
8.0759384E7
max residence set size
4820784.0
stage attributes
key
value
starexec-result
YES
output
64.58/17.37 YES 64.93/17.44 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 64.93/17.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 64.93/17.44 64.93/17.44 64.93/17.44 Termination w.r.t. Q of the given QTRS could be proven: 64.93/17.44 64.93/17.44 (0) QTRS 64.93/17.44 (1) QTRS Reverse [EQUIVALENT, 0 ms] 64.93/17.44 (2) QTRS 64.93/17.44 (3) DependencyPairsProof [EQUIVALENT, 31 ms] 64.93/17.44 (4) QDP 64.93/17.44 (5) DependencyGraphProof [EQUIVALENT, 2 ms] 64.93/17.44 (6) AND 64.93/17.44 (7) QDP 64.93/17.44 (8) UsableRulesProof [EQUIVALENT, 3 ms] 64.93/17.44 (9) QDP 64.93/17.44 (10) MRRProof [EQUIVALENT, 34 ms] 64.93/17.44 (11) QDP 64.93/17.44 (12) DependencyGraphProof [EQUIVALENT, 0 ms] 64.93/17.44 (13) TRUE 64.93/17.44 (14) QDP 64.93/17.44 (15) QDPOrderProof [EQUIVALENT, 236 ms] 64.93/17.44 (16) QDP 64.93/17.44 (17) QDPOrderProof [EQUIVALENT, 790 ms] 64.93/17.44 (18) QDP 64.93/17.44 (19) DependencyGraphProof [EQUIVALENT, 0 ms] 64.93/17.44 (20) QDP 64.93/17.44 (21) UsableRulesProof [EQUIVALENT, 0 ms] 64.93/17.44 (22) QDP 64.93/17.44 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 64.93/17.44 (24) YES 64.93/17.44 64.93/17.44 64.93/17.44 ---------------------------------------- 64.93/17.44 64.93/17.44 (0) 64.93/17.44 Obligation: 64.93/17.44 Q restricted rewrite system: 64.93/17.44 The TRS R consists of the following rules: 64.93/17.44 64.93/17.44 b(a(x1)) -> a(a(d(x1))) 64.93/17.44 a(c(x1)) -> b(b(x1)) 64.93/17.44 d(a(b(x1))) -> b(d(d(c(x1)))) 64.93/17.44 d(x1) -> a(x1) 64.93/17.44 b(a(c(a(x1)))) -> x1 64.93/17.44 64.93/17.44 Q is empty. 64.93/17.44 64.93/17.44 ---------------------------------------- 64.93/17.44 64.93/17.44 (1) QTRS Reverse (EQUIVALENT) 64.93/17.44 We applied the QTRS Reverse Processor [REVERSE]. 64.93/17.44 ---------------------------------------- 64.93/17.44 64.93/17.44 (2) 64.93/17.44 Obligation: 64.93/17.44 Q restricted rewrite system: 64.93/17.44 The TRS R consists of the following rules: 64.93/17.44 64.93/17.44 a(b(x1)) -> d(a(a(x1))) 64.93/17.44 c(a(x1)) -> b(b(x1)) 64.93/17.44 b(a(d(x1))) -> c(d(d(b(x1)))) 64.93/17.44 d(x1) -> a(x1) 64.93/17.44 a(c(a(b(x1)))) -> x1 64.93/17.44 64.93/17.44 Q is empty. 64.93/17.44 64.93/17.44 ---------------------------------------- 64.93/17.44 64.93/17.44 (3) DependencyPairsProof (EQUIVALENT) 64.93/17.44 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 64.93/17.44 ---------------------------------------- 64.93/17.44 64.93/17.44 (4) 64.93/17.44 Obligation: 64.93/17.44 Q DP problem: 64.93/17.44 The TRS P consists of the following rules: 64.93/17.44 64.93/17.44 A(b(x1)) -> D(a(a(x1))) 64.93/17.44 A(b(x1)) -> A(a(x1)) 64.93/17.44 A(b(x1)) -> A(x1) 64.93/17.44 C(a(x1)) -> B(b(x1)) 64.93/17.44 C(a(x1)) -> B(x1) 64.93/17.44 B(a(d(x1))) -> C(d(d(b(x1)))) 64.93/17.44 B(a(d(x1))) -> D(d(b(x1))) 64.93/17.44 B(a(d(x1))) -> D(b(x1)) 64.93/17.44 B(a(d(x1))) -> B(x1) 64.93/17.44 D(x1) -> A(x1) 64.93/17.44 64.93/17.44 The TRS R consists of the following rules: 64.93/17.44 64.93/17.44 a(b(x1)) -> d(a(a(x1))) 64.93/17.44 c(a(x1)) -> b(b(x1)) 64.93/17.44 b(a(d(x1))) -> c(d(d(b(x1)))) 64.93/17.44 d(x1) -> a(x1) 64.93/17.44 a(c(a(b(x1)))) -> x1 64.93/17.44 64.93/17.44 Q is empty. 64.93/17.44 We have to consider all minimal (P,Q,R)-chains.
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