details

property	value
status	complete
benchmark	size-11-alpha-3-num-11.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n042.star.cs.uiowa.edu
space	Waldmann_07_size11

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	9.19866 seconds
cpu usage	30.1644
user time	29.077
system time	1.08744
max virtual memory	2.0559108E7
max residence set size	3161560.0

stage attributes

key	value
starexec-result	YES

output

26.80/7.67 YES 27.67/7.91 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 27.67/7.91 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 27.67/7.91 27.67/7.91 27.67/7.91 Termination w.r.t. Q of the given QTRS could be proven: 27.67/7.91 27.67/7.91 (0) QTRS 27.67/7.91 (1) QTRS Reverse [EQUIVALENT, 0 ms] 27.67/7.91 (2) QTRS 27.67/7.91 (3) DependencyPairsProof [EQUIVALENT, 22 ms] 27.67/7.91 (4) QDP 27.67/7.91 (5) DependencyGraphProof [EQUIVALENT, 5 ms] 27.67/7.91 (6) AND 27.67/7.91 (7) QDP 27.67/7.91 (8) UsableRulesProof [EQUIVALENT, 3 ms] 27.67/7.91 (9) QDP 27.67/7.91 (10) QDPSizeChangeProof [EQUIVALENT, 2 ms] 27.67/7.91 (11) YES 27.67/7.91 (12) QDP 27.67/7.91 (13) QDPOrderProof [EQUIVALENT, 87 ms] 27.67/7.91 (14) QDP 27.67/7.91 (15) PisEmptyProof [EQUIVALENT, 0 ms] 27.67/7.91 (16) YES 27.67/7.91 27.67/7.91 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (0) 27.67/7.91 Obligation: 27.67/7.91 Q restricted rewrite system: 27.67/7.91 The TRS R consists of the following rules: 27.67/7.91 27.67/7.91 a(x1) -> b(x1) 27.67/7.91 a(c(x1)) -> c(c(a(b(x1)))) 27.67/7.91 b(b(x1)) -> a(x1) 27.67/7.91 27.67/7.91 Q is empty. 27.67/7.91 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (1) QTRS Reverse (EQUIVALENT) 27.67/7.91 We applied the QTRS Reverse Processor [REVERSE]. 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (2) 27.67/7.91 Obligation: 27.67/7.91 Q restricted rewrite system: 27.67/7.91 The TRS R consists of the following rules: 27.67/7.91 27.67/7.91 a(x1) -> b(x1) 27.67/7.91 c(a(x1)) -> b(a(c(c(x1)))) 27.67/7.91 b(b(x1)) -> a(x1) 27.67/7.91 27.67/7.91 Q is empty. 27.67/7.91 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (3) DependencyPairsProof (EQUIVALENT) 27.67/7.91 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (4) 27.67/7.91 Obligation: 27.67/7.91 Q DP problem: 27.67/7.91 The TRS P consists of the following rules: 27.67/7.91 27.67/7.91 A(x1) -> B(x1) 27.67/7.91 C(a(x1)) -> B(a(c(c(x1)))) 27.67/7.91 C(a(x1)) -> A(c(c(x1))) 27.67/7.91 C(a(x1)) -> C(c(x1)) 27.67/7.91 C(a(x1)) -> C(x1) 27.67/7.91 B(b(x1)) -> A(x1) 27.67/7.91 27.67/7.91 The TRS R consists of the following rules: 27.67/7.91 27.67/7.91 a(x1) -> b(x1) 27.67/7.91 c(a(x1)) -> b(a(c(c(x1)))) 27.67/7.91 b(b(x1)) -> a(x1) 27.67/7.91 27.67/7.91 Q is empty. 27.67/7.91 We have to consider all minimal (P,Q,R)-chains. 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (5) DependencyGraphProof (EQUIVALENT) 27.67/7.91 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 2 SCCs with 2 less nodes. 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (6) 27.67/7.91 Complex Obligation (AND) 27.67/7.91 27.67/7.91 ---------------------------------------- 27.67/7.91 27.67/7.91 (7) 27.67/7.91 Obligation: 27.67/7.91 Q DP problem: 27.67/7.91 The TRS P consists of the following rules: 27.67/7.91 27.67/7.91 B(b(x1)) -> A(x1) 27.67/7.91 A(x1) -> B(x1) popout

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all output return to SRS_Standard 2019-03-29 03.29