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SRS_Standard 2019-03-29 03.29 pair #432291001
details
property
value
status
complete
benchmark
size-12-alpha-3-num-377.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n170.star.cs.uiowa.edu
space
Waldmann_07_size12
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.30596 seconds
cpu usage
24.5572
user time
23.5327
system time
1.02456
max virtual memory
4.070276E7
max residence set size
3048900.0
stage attributes
key
value
starexec-result
YES
output
22.83/7.07 YES 24.37/7.23 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 24.37/7.23 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 24.37/7.23 24.37/7.23 24.37/7.23 Termination w.r.t. Q of the given QTRS could be proven: 24.37/7.23 24.37/7.23 (0) QTRS 24.37/7.23 (1) QTRS Reverse [EQUIVALENT, 0 ms] 24.37/7.23 (2) QTRS 24.37/7.23 (3) DependencyPairsProof [EQUIVALENT, 17 ms] 24.37/7.23 (4) QDP 24.37/7.23 (5) DependencyGraphProof [EQUIVALENT, 1 ms] 24.37/7.23 (6) AND 24.37/7.23 (7) QDP 24.37/7.23 (8) UsableRulesProof [EQUIVALENT, 0 ms] 24.37/7.23 (9) QDP 24.37/7.23 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 24.37/7.23 (11) YES 24.37/7.23 (12) QDP 24.37/7.23 (13) QDPOrderProof [EQUIVALENT, 185 ms] 24.37/7.23 (14) QDP 24.37/7.23 (15) QDPOrderProof [EQUIVALENT, 92 ms] 24.37/7.23 (16) QDP 24.37/7.23 (17) PisEmptyProof [EQUIVALENT, 0 ms] 24.37/7.23 (18) YES 24.37/7.23 24.37/7.23 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (0) 24.37/7.23 Obligation: 24.37/7.23 Q restricted rewrite system: 24.37/7.23 The TRS R consists of the following rules: 24.37/7.23 24.37/7.23 a(x1) -> b(x1) 24.37/7.23 a(c(x1)) -> c(c(c(a(b(x1))))) 24.37/7.23 b(b(x1)) -> a(x1) 24.37/7.23 24.37/7.23 Q is empty. 24.37/7.23 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (1) QTRS Reverse (EQUIVALENT) 24.37/7.23 We applied the QTRS Reverse Processor [REVERSE]. 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (2) 24.37/7.23 Obligation: 24.37/7.23 Q restricted rewrite system: 24.37/7.23 The TRS R consists of the following rules: 24.37/7.23 24.37/7.23 a(x1) -> b(x1) 24.37/7.23 c(a(x1)) -> b(a(c(c(c(x1))))) 24.37/7.23 b(b(x1)) -> a(x1) 24.37/7.23 24.37/7.23 Q is empty. 24.37/7.23 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (3) DependencyPairsProof (EQUIVALENT) 24.37/7.23 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (4) 24.37/7.23 Obligation: 24.37/7.23 Q DP problem: 24.37/7.23 The TRS P consists of the following rules: 24.37/7.23 24.37/7.23 A(x1) -> B(x1) 24.37/7.23 C(a(x1)) -> B(a(c(c(c(x1))))) 24.37/7.23 C(a(x1)) -> A(c(c(c(x1)))) 24.37/7.23 C(a(x1)) -> C(c(c(x1))) 24.37/7.23 C(a(x1)) -> C(c(x1)) 24.37/7.23 C(a(x1)) -> C(x1) 24.37/7.23 B(b(x1)) -> A(x1) 24.37/7.23 24.37/7.23 The TRS R consists of the following rules: 24.37/7.23 24.37/7.23 a(x1) -> b(x1) 24.37/7.23 c(a(x1)) -> b(a(c(c(c(x1))))) 24.37/7.23 b(b(x1)) -> a(x1) 24.37/7.23 24.37/7.23 Q is empty. 24.37/7.23 We have to consider all minimal (P,Q,R)-chains. 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (5) DependencyGraphProof (EQUIVALENT) 24.37/7.23 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 2 less nodes. 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (6) 24.37/7.23 Complex Obligation (AND) 24.37/7.23 24.37/7.23 ---------------------------------------- 24.37/7.23 24.37/7.23 (7) 24.37/7.23 Obligation: 24.37/7.23 Q DP problem: 24.37/7.23 The TRS P consists of the following rules:
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