details

property	value
status	complete
benchmark	multum2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n103.star.cs.uiowa.edu
space	Secret_06_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	13.7017 seconds
cpu usage	50.2569
user time	48.3106
system time	1.94624
max virtual memory	1.254528E8
max residence set size	4354404.0

stage attributes

key	value
starexec-result	YES

output

49.71/13.52 YES 49.71/13.58 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 49.71/13.58 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 49.71/13.58 49.71/13.58 49.71/13.58 Termination w.r.t. Q of the given QTRS could be proven: 49.71/13.58 49.71/13.58 (0) QTRS 49.71/13.58 (1) QTRS Reverse [EQUIVALENT, 0 ms] 49.71/13.58 (2) QTRS 49.71/13.58 (3) DependencyPairsProof [EQUIVALENT, 32 ms] 49.71/13.58 (4) QDP 49.71/13.58 (5) QDPOrderProof [EQUIVALENT, 296 ms] 49.71/13.58 (6) QDP 49.71/13.58 (7) QDPOrderProof [EQUIVALENT, 46 ms] 49.71/13.58 (8) QDP 49.71/13.58 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 49.71/13.58 (10) AND 49.71/13.58 (11) QDP 49.71/13.58 (12) QDPOrderProof [EQUIVALENT, 453 ms] 49.71/13.58 (13) QDP 49.71/13.58 (14) PisEmptyProof [EQUIVALENT, 0 ms] 49.71/13.58 (15) YES 49.71/13.58 (16) QDP 49.71/13.58 (17) QDPOrderProof [EQUIVALENT, 0 ms] 49.71/13.58 (18) QDP 49.71/13.58 (19) QDPOrderProof [EQUIVALENT, 101 ms] 49.71/13.58 (20) QDP 49.71/13.58 (21) UsableRulesProof [EQUIVALENT, 0 ms] 49.71/13.58 (22) QDP 49.71/13.58 (23) QDPSizeChangeProof [EQUIVALENT, 0 ms] 49.71/13.58 (24) YES 49.71/13.58 49.71/13.58 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (0) 49.71/13.58 Obligation: 49.71/13.58 Q restricted rewrite system: 49.71/13.58 The TRS R consists of the following rules: 49.71/13.58 49.71/13.58 a(a(b(x1))) -> b(b(a(a(x1)))) 49.71/13.58 b(a(b(a(x1)))) -> a(a(a(b(x1)))) 49.71/13.58 49.71/13.58 Q is empty. 49.71/13.58 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (1) QTRS Reverse (EQUIVALENT) 49.71/13.58 We applied the QTRS Reverse Processor [REVERSE]. 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (2) 49.71/13.58 Obligation: 49.71/13.58 Q restricted rewrite system: 49.71/13.58 The TRS R consists of the following rules: 49.71/13.58 49.71/13.58 b(a(a(x1))) -> a(a(b(b(x1)))) 49.71/13.58 a(b(a(b(x1)))) -> b(a(a(a(x1)))) 49.71/13.58 49.71/13.58 Q is empty. 49.71/13.58 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (3) DependencyPairsProof (EQUIVALENT) 49.71/13.58 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (4) 49.71/13.58 Obligation: 49.71/13.58 Q DP problem: 49.71/13.58 The TRS P consists of the following rules: 49.71/13.58 49.71/13.58 B(a(a(x1))) -> A(a(b(b(x1)))) 49.71/13.58 B(a(a(x1))) -> A(b(b(x1))) 49.71/13.58 B(a(a(x1))) -> B(b(x1)) 49.71/13.58 B(a(a(x1))) -> B(x1) 49.71/13.58 A(b(a(b(x1)))) -> B(a(a(a(x1)))) 49.71/13.58 A(b(a(b(x1)))) -> A(a(a(x1))) 49.71/13.58 A(b(a(b(x1)))) -> A(a(x1)) 49.71/13.58 A(b(a(b(x1)))) -> A(x1) 49.71/13.58 49.71/13.58 The TRS R consists of the following rules: 49.71/13.58 49.71/13.58 b(a(a(x1))) -> a(a(b(b(x1)))) 49.71/13.58 a(b(a(b(x1)))) -> b(a(a(a(x1)))) 49.71/13.58 49.71/13.58 Q is empty. 49.71/13.58 We have to consider all minimal (P,Q,R)-chains. 49.71/13.58 ---------------------------------------- 49.71/13.58 49.71/13.58 (5) QDPOrderProof (EQUIVALENT) 49.71/13.58 We use the reduction pair processor [LPAR04,JAR06]. 49.71/13.58 49.71/13.58 49.71/13.58 The following pairs can be oriented strictly and are deleted. 49.71/13.58 49.71/13.58 B(a(a(x1))) -> A(b(b(x1))) 49.71/13.58 The remaining pairs can at least be oriented weakly. 49.71/13.58 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: popout

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all output return to SRS_Standard 2019-03-29 03.29