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SRS_Standard 2019-03-29 03.29 pair #432289681
details
property
value
status
complete
benchmark
size-12-alpha-3-num-478.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.81684 seconds
cpu usage
30.325
user time
28.8896
system time
1.4354
max virtual memory
6.2412792E7
max residence set size
3999828.0
stage attributes
key
value
starexec-result
YES
output
29.21/8.37 YES 29.83/8.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 29.83/8.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 29.83/8.60 29.83/8.60 29.83/8.60 Termination w.r.t. Q of the given QTRS could be proven: 29.83/8.60 29.83/8.60 (0) QTRS 29.83/8.60 (1) DependencyPairsProof [EQUIVALENT, 2 ms] 29.83/8.60 (2) QDP 29.83/8.60 (3) DependencyGraphProof [EQUIVALENT, 0 ms] 29.83/8.60 (4) QDP 29.83/8.60 (5) QDPOrderProof [EQUIVALENT, 174 ms] 29.83/8.60 (6) QDP 29.83/8.60 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 29.83/8.60 (8) AND 29.83/8.60 (9) QDP 29.83/8.60 (10) QDPOrderProof [EQUIVALENT, 50 ms] 29.83/8.60 (11) QDP 29.83/8.60 (12) PisEmptyProof [EQUIVALENT, 0 ms] 29.83/8.60 (13) YES 29.83/8.60 (14) QDP 29.83/8.60 (15) UsableRulesProof [EQUIVALENT, 0 ms] 29.83/8.60 (16) QDP 29.83/8.60 (17) QDPSizeChangeProof [EQUIVALENT, 0 ms] 29.83/8.60 (18) YES 29.83/8.60 29.83/8.60 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (0) 29.83/8.60 Obligation: 29.83/8.60 Q restricted rewrite system: 29.83/8.60 The TRS R consists of the following rules: 29.83/8.60 29.83/8.60 a(a(x1)) -> a(b(b(c(x1)))) 29.83/8.60 b(a(x1)) -> x1 29.83/8.60 c(b(x1)) -> a(c(x1)) 29.83/8.60 29.83/8.60 Q is empty. 29.83/8.60 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (1) DependencyPairsProof (EQUIVALENT) 29.83/8.60 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (2) 29.83/8.60 Obligation: 29.83/8.60 Q DP problem: 29.83/8.60 The TRS P consists of the following rules: 29.83/8.60 29.83/8.60 A(a(x1)) -> A(b(b(c(x1)))) 29.83/8.60 A(a(x1)) -> B(b(c(x1))) 29.83/8.60 A(a(x1)) -> B(c(x1)) 29.83/8.60 A(a(x1)) -> C(x1) 29.83/8.60 C(b(x1)) -> A(c(x1)) 29.83/8.60 C(b(x1)) -> C(x1) 29.83/8.60 29.83/8.60 The TRS R consists of the following rules: 29.83/8.60 29.83/8.60 a(a(x1)) -> a(b(b(c(x1)))) 29.83/8.60 b(a(x1)) -> x1 29.83/8.60 c(b(x1)) -> a(c(x1)) 29.83/8.60 29.83/8.60 Q is empty. 29.83/8.60 We have to consider all minimal (P,Q,R)-chains. 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (3) DependencyGraphProof (EQUIVALENT) 29.83/8.60 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 2 less nodes. 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (4) 29.83/8.60 Obligation: 29.83/8.60 Q DP problem: 29.83/8.60 The TRS P consists of the following rules: 29.83/8.60 29.83/8.60 A(a(x1)) -> C(x1) 29.83/8.60 C(b(x1)) -> A(c(x1)) 29.83/8.60 A(a(x1)) -> A(b(b(c(x1)))) 29.83/8.60 C(b(x1)) -> C(x1) 29.83/8.60 29.83/8.60 The TRS R consists of the following rules: 29.83/8.60 29.83/8.60 a(a(x1)) -> a(b(b(c(x1)))) 29.83/8.60 b(a(x1)) -> x1 29.83/8.60 c(b(x1)) -> a(c(x1)) 29.83/8.60 29.83/8.60 Q is empty. 29.83/8.60 We have to consider all minimal (P,Q,R)-chains. 29.83/8.60 ---------------------------------------- 29.83/8.60 29.83/8.60 (5) QDPOrderProof (EQUIVALENT) 29.83/8.60 We use the reduction pair processor [LPAR04,JAR06]. 29.83/8.60 29.83/8.60 29.83/8.60 The following pairs can be oriented strictly and are deleted. 29.83/8.60 29.83/8.60 A(a(x1)) -> C(x1)
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