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SRS_Standard 2019-03-29 03.29 pair #432291349
details
property
value
status
complete
benchmark
size-12-alpha-3-num-111.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n127.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.95727 seconds
cpu usage
35.0171
user time
33.4466
system time
1.5705
max virtual memory
8.3789836E7
max residence set size
4193172.0
stage attributes
key
value
starexec-result
YES
output
34.46/9.82 YES 34.68/9.83 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 34.68/9.83 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 34.68/9.83 34.68/9.83 34.68/9.83 Termination w.r.t. Q of the given QTRS could be proven: 34.68/9.83 34.68/9.83 (0) QTRS 34.68/9.83 (1) QTRS Reverse [EQUIVALENT, 0 ms] 34.68/9.83 (2) QTRS 34.68/9.83 (3) DependencyPairsProof [EQUIVALENT, 13 ms] 34.68/9.83 (4) QDP 34.68/9.83 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 34.68/9.83 (6) QDP 34.68/9.83 (7) QDPOrderProof [EQUIVALENT, 112 ms] 34.68/9.83 (8) QDP 34.68/9.83 (9) QDPOrderProof [EQUIVALENT, 54 ms] 34.68/9.83 (10) QDP 34.68/9.83 (11) QDPOrderProof [EQUIVALENT, 26 ms] 34.68/9.83 (12) QDP 34.68/9.83 (13) PisEmptyProof [EQUIVALENT, 0 ms] 34.68/9.83 (14) YES 34.68/9.83 34.68/9.83 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (0) 34.68/9.83 Obligation: 34.68/9.83 Q restricted rewrite system: 34.68/9.83 The TRS R consists of the following rules: 34.68/9.83 34.68/9.83 a(x1) -> x1 34.68/9.83 a(a(b(x1))) -> b(b(b(a(a(x1))))) 34.68/9.83 b(x1) -> c(a(x1)) 34.68/9.83 34.68/9.83 Q is empty. 34.68/9.83 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (1) QTRS Reverse (EQUIVALENT) 34.68/9.83 We applied the QTRS Reverse Processor [REVERSE]. 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (2) 34.68/9.83 Obligation: 34.68/9.83 Q restricted rewrite system: 34.68/9.83 The TRS R consists of the following rules: 34.68/9.83 34.68/9.83 a(x1) -> x1 34.68/9.83 b(a(a(x1))) -> a(a(b(b(b(x1))))) 34.68/9.83 b(x1) -> a(c(x1)) 34.68/9.83 34.68/9.83 Q is empty. 34.68/9.83 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (3) DependencyPairsProof (EQUIVALENT) 34.68/9.83 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (4) 34.68/9.83 Obligation: 34.68/9.83 Q DP problem: 34.68/9.83 The TRS P consists of the following rules: 34.68/9.83 34.68/9.83 B(a(a(x1))) -> A(a(b(b(b(x1))))) 34.68/9.83 B(a(a(x1))) -> A(b(b(b(x1)))) 34.68/9.83 B(a(a(x1))) -> B(b(b(x1))) 34.68/9.83 B(a(a(x1))) -> B(b(x1)) 34.68/9.83 B(a(a(x1))) -> B(x1) 34.68/9.83 B(x1) -> A(c(x1)) 34.68/9.83 34.68/9.83 The TRS R consists of the following rules: 34.68/9.83 34.68/9.83 a(x1) -> x1 34.68/9.83 b(a(a(x1))) -> a(a(b(b(b(x1))))) 34.68/9.83 b(x1) -> a(c(x1)) 34.68/9.83 34.68/9.83 Q is empty. 34.68/9.83 We have to consider all minimal (P,Q,R)-chains. 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (5) DependencyGraphProof (EQUIVALENT) 34.68/9.83 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 3 less nodes. 34.68/9.83 ---------------------------------------- 34.68/9.83 34.68/9.83 (6) 34.68/9.83 Obligation: 34.68/9.83 Q DP problem: 34.68/9.83 The TRS P consists of the following rules: 34.68/9.83 34.68/9.83 B(a(a(x1))) -> B(b(x1)) 34.68/9.83 B(a(a(x1))) -> B(b(b(x1))) 34.68/9.83 B(a(a(x1))) -> B(x1) 34.68/9.83 34.68/9.83 The TRS R consists of the following rules: 34.68/9.83 34.68/9.83 a(x1) -> x1 34.68/9.83 b(a(a(x1))) -> a(a(b(b(b(x1))))) 34.68/9.83 b(x1) -> a(c(x1))
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