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SRS_Standard 2019-03-29 03.29 pair #432291601
details
property
value
status
complete
benchmark
size-11-alpha-3-num-6.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n008.star.cs.uiowa.edu
space
Waldmann_07_size11
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.52825 seconds
cpu usage
22.3034
user time
21.2059
system time
1.09748
max virtual memory
4.0913268E7
max residence set size
2837532.0
stage attributes
key
value
starexec-result
YES
output
21.76/6.40 YES 21.76/6.44 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 21.76/6.44 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.76/6.44 21.76/6.44 21.76/6.44 Termination w.r.t. Q of the given QTRS could be proven: 21.76/6.44 21.76/6.44 (0) QTRS 21.76/6.44 (1) QTRS Reverse [EQUIVALENT, 0 ms] 21.76/6.44 (2) QTRS 21.76/6.44 (3) DependencyPairsProof [EQUIVALENT, 0 ms] 21.76/6.44 (4) QDP 21.76/6.44 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 21.76/6.44 (6) QDP 21.76/6.44 (7) QDPOrderProof [EQUIVALENT, 120 ms] 21.76/6.44 (8) QDP 21.76/6.44 (9) QDPOrderProof [EQUIVALENT, 47 ms] 21.76/6.44 (10) QDP 21.76/6.44 (11) PisEmptyProof [EQUIVALENT, 0 ms] 21.76/6.44 (12) YES 21.76/6.44 21.76/6.44 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (0) 21.76/6.44 Obligation: 21.76/6.44 Q restricted rewrite system: 21.76/6.44 The TRS R consists of the following rules: 21.76/6.44 21.76/6.44 a(x1) -> x1 21.76/6.44 a(b(c(x1))) -> c(c(a(b(b(x1))))) 21.76/6.44 b(x1) -> a(x1) 21.76/6.44 21.76/6.44 Q is empty. 21.76/6.44 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (1) QTRS Reverse (EQUIVALENT) 21.76/6.44 We applied the QTRS Reverse Processor [REVERSE]. 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (2) 21.76/6.44 Obligation: 21.76/6.44 Q restricted rewrite system: 21.76/6.44 The TRS R consists of the following rules: 21.76/6.44 21.76/6.44 a(x1) -> x1 21.76/6.44 c(b(a(x1))) -> b(b(a(c(c(x1))))) 21.76/6.44 b(x1) -> a(x1) 21.76/6.44 21.76/6.44 Q is empty. 21.76/6.44 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (3) DependencyPairsProof (EQUIVALENT) 21.76/6.44 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (4) 21.76/6.44 Obligation: 21.76/6.44 Q DP problem: 21.76/6.44 The TRS P consists of the following rules: 21.76/6.44 21.76/6.44 C(b(a(x1))) -> B(b(a(c(c(x1))))) 21.76/6.44 C(b(a(x1))) -> B(a(c(c(x1)))) 21.76/6.44 C(b(a(x1))) -> A(c(c(x1))) 21.76/6.44 C(b(a(x1))) -> C(c(x1)) 21.76/6.44 C(b(a(x1))) -> C(x1) 21.76/6.44 B(x1) -> A(x1) 21.76/6.44 21.76/6.44 The TRS R consists of the following rules: 21.76/6.44 21.76/6.44 a(x1) -> x1 21.76/6.44 c(b(a(x1))) -> b(b(a(c(c(x1))))) 21.76/6.44 b(x1) -> a(x1) 21.76/6.44 21.76/6.44 Q is empty. 21.76/6.44 We have to consider all minimal (P,Q,R)-chains. 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (5) DependencyGraphProof (EQUIVALENT) 21.76/6.44 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes. 21.76/6.44 ---------------------------------------- 21.76/6.44 21.76/6.44 (6) 21.76/6.44 Obligation: 21.76/6.44 Q DP problem: 21.76/6.44 The TRS P consists of the following rules: 21.76/6.44 21.76/6.44 C(b(a(x1))) -> C(x1) 21.76/6.44 C(b(a(x1))) -> C(c(x1)) 21.76/6.44 21.76/6.44 The TRS R consists of the following rules: 21.76/6.44 21.76/6.44 a(x1) -> x1 21.76/6.44 c(b(a(x1))) -> b(b(a(c(c(x1))))) 21.76/6.44 b(x1) -> a(x1) 21.76/6.44 21.76/6.44 Q is empty. 21.76/6.44 We have to consider all minimal (P,Q,R)-chains.
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