details

property	value
status	complete
benchmark	size-12-alpha-3-num-223.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n053.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	45.883 seconds
cpu usage	177.078
user time	173.654
system time	3.42362
max virtual memory	1.046532E8
max residence set size	5983008.0

stage attributes

key	value
starexec-result	YES

output

176.29/45.68 YES 176.69/45.77 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 176.69/45.77 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 176.69/45.77 176.69/45.77 176.69/45.77 Termination w.r.t. Q of the given QTRS could be proven: 176.69/45.77 176.69/45.77 (0) QTRS 176.69/45.77 (1) QTRS Reverse [EQUIVALENT, 0 ms] 176.69/45.77 (2) QTRS 176.69/45.77 (3) DependencyPairsProof [EQUIVALENT, 1 ms] 176.69/45.77 (4) QDP 176.69/45.77 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 176.69/45.77 (6) QDP 176.69/45.77 (7) SemLabProof [SOUND, 63 ms] 176.69/45.77 (8) QDP 176.69/45.77 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 176.69/45.77 (10) AND 176.69/45.77 (11) QDP 176.69/45.77 (12) UsableRulesReductionPairsProof [EQUIVALENT, 6 ms] 176.69/45.77 (13) QDP 176.69/45.77 (14) PisEmptyProof [EQUIVALENT, 0 ms] 176.69/45.77 (15) YES 176.69/45.77 (16) QDP 176.69/45.77 (17) UsableRulesReductionPairsProof [EQUIVALENT, 9 ms] 176.69/45.77 (18) QDP 176.69/45.77 (19) PisEmptyProof [EQUIVALENT, 0 ms] 176.69/45.77 (20) YES 176.69/45.77 176.69/45.77 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (0) 176.69/45.77 Obligation: 176.69/45.77 Q restricted rewrite system: 176.69/45.77 The TRS R consists of the following rules: 176.69/45.77 176.69/45.77 a(x1) -> x1 176.69/45.77 a(b(x1)) -> b(b(c(a(c(x1))))) 176.69/45.77 b(x1) -> x1 176.69/45.77 c(c(x1)) -> a(x1) 176.69/45.77 176.69/45.77 Q is empty. 176.69/45.77 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (1) QTRS Reverse (EQUIVALENT) 176.69/45.77 We applied the QTRS Reverse Processor [REVERSE]. 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (2) 176.69/45.77 Obligation: 176.69/45.77 Q restricted rewrite system: 176.69/45.77 The TRS R consists of the following rules: 176.69/45.77 176.69/45.77 a(x1) -> x1 176.69/45.77 b(a(x1)) -> c(a(c(b(b(x1))))) 176.69/45.77 b(x1) -> x1 176.69/45.77 c(c(x1)) -> a(x1) 176.69/45.77 176.69/45.77 Q is empty. 176.69/45.77 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (3) DependencyPairsProof (EQUIVALENT) 176.69/45.77 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (4) 176.69/45.77 Obligation: 176.69/45.77 Q DP problem: 176.69/45.77 The TRS P consists of the following rules: 176.69/45.77 176.69/45.77 B(a(x1)) -> C(a(c(b(b(x1))))) 176.69/45.77 B(a(x1)) -> A(c(b(b(x1)))) 176.69/45.77 B(a(x1)) -> C(b(b(x1))) 176.69/45.77 B(a(x1)) -> B(b(x1)) 176.69/45.77 B(a(x1)) -> B(x1) 176.69/45.77 C(c(x1)) -> A(x1) 176.69/45.77 176.69/45.77 The TRS R consists of the following rules: 176.69/45.77 176.69/45.77 a(x1) -> x1 176.69/45.77 b(a(x1)) -> c(a(c(b(b(x1))))) 176.69/45.77 b(x1) -> x1 176.69/45.77 c(c(x1)) -> a(x1) 176.69/45.77 176.69/45.77 Q is empty. 176.69/45.77 We have to consider all minimal (P,Q,R)-chains. 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (5) DependencyGraphProof (EQUIVALENT) 176.69/45.77 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 1 SCC with 4 less nodes. 176.69/45.77 ---------------------------------------- 176.69/45.77 176.69/45.77 (6) 176.69/45.77 Obligation: 176.69/45.77 Q DP problem: 176.69/45.77 The TRS P consists of the following rules: 176.69/45.77 popout

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