details

property	value
status	complete
benchmark	05.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n102.star.cs.uiowa.edu
space	Mixed_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	10.3419 seconds
cpu usage	37.2145
user time	35.6203
system time	1.59418
max virtual memory	4.128048E7
max residence set size	4069500.0

stage attributes

key	value
starexec-result	YES

output

36.71/10.18 YES 36.71/10.19 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 36.71/10.19 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 36.71/10.19 36.71/10.19 36.71/10.19 Termination w.r.t. Q of the given QTRS could be proven: 36.71/10.19 36.71/10.19 (0) QTRS 36.71/10.19 (1) DependencyPairsProof [EQUIVALENT, 9 ms] 36.71/10.19 (2) QDP 36.71/10.19 (3) QDPOrderProof [EQUIVALENT, 217 ms] 36.71/10.19 (4) QDP 36.71/10.19 (5) QDPOrderProof [EQUIVALENT, 27 ms] 36.71/10.19 (6) QDP 36.71/10.19 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 36.71/10.19 (8) QDP 36.71/10.19 (9) QDPOrderProof [EQUIVALENT, 14 ms] 36.71/10.19 (10) QDP 36.71/10.19 (11) PisEmptyProof [EQUIVALENT, 0 ms] 36.71/10.19 (12) YES 36.71/10.19 36.71/10.19 36.71/10.19 ---------------------------------------- 36.71/10.19 36.71/10.19 (0) 36.71/10.19 Obligation: 36.71/10.19 Q restricted rewrite system: 36.71/10.19 The TRS R consists of the following rules: 36.71/10.19 36.71/10.19 a(a(b(a(x1)))) -> a(b(b(b(x1)))) 36.71/10.19 b(b(b(x1))) -> b(a(a(a(x1)))) 36.71/10.19 36.71/10.19 Q is empty. 36.71/10.19 36.71/10.19 ---------------------------------------- 36.71/10.19 36.71/10.19 (1) DependencyPairsProof (EQUIVALENT) 36.71/10.19 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 36.71/10.19 ---------------------------------------- 36.71/10.19 36.71/10.19 (2) 36.71/10.19 Obligation: 36.71/10.19 Q DP problem: 36.71/10.19 The TRS P consists of the following rules: 36.71/10.19 36.71/10.19 A(a(b(a(x1)))) -> A(b(b(b(x1)))) 36.71/10.19 A(a(b(a(x1)))) -> B(b(b(x1))) 36.71/10.19 A(a(b(a(x1)))) -> B(b(x1)) 36.71/10.19 A(a(b(a(x1)))) -> B(x1) 36.71/10.19 B(b(b(x1))) -> B(a(a(a(x1)))) 36.71/10.19 B(b(b(x1))) -> A(a(a(x1))) 36.71/10.19 B(b(b(x1))) -> A(a(x1)) 36.71/10.19 B(b(b(x1))) -> A(x1) 36.71/10.19 36.71/10.19 The TRS R consists of the following rules: 36.71/10.19 36.71/10.19 a(a(b(a(x1)))) -> a(b(b(b(x1)))) 36.71/10.19 b(b(b(x1))) -> b(a(a(a(x1)))) 36.71/10.19 36.71/10.19 Q is empty. 36.71/10.19 We have to consider all minimal (P,Q,R)-chains. 36.71/10.19 ---------------------------------------- 36.71/10.19 36.71/10.19 (3) QDPOrderProof (EQUIVALENT) 36.71/10.19 We use the reduction pair processor [LPAR04,JAR06]. 36.71/10.19 36.71/10.19 36.71/10.19 The following pairs can be oriented strictly and are deleted. 36.71/10.19 36.71/10.19 A(a(b(a(x1)))) -> A(b(b(b(x1)))) 36.71/10.19 The remaining pairs can at least be oriented weakly. 36.71/10.19 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: 36.71/10.19 36.71/10.19 <<< 36.71/10.19 POL(A(x_1)) = [[0A]] + [[-I, -I, 0A]] * x_1 36.71/10.19 >>> 36.71/10.19 36.71/10.19 <<< 36.71/10.19 POL(a(x_1)) = [[-I], [-I], [0A]] + [[0A, 0A, 0A], [0A, -I, -I], [0A, 0A, 0A]] * x_1 36.71/10.19 >>> 36.71/10.19 36.71/10.19 <<< 36.71/10.19 POL(b(x_1)) = [[-I], [1A], [0A]] + [[0A, 0A, -I], [0A, 0A, 0A], [-I, -I, -I]] * x_1 36.71/10.19 >>> 36.71/10.19 36.71/10.19 <<< 36.71/10.19 POL(B(x_1)) = [[0A]] + [[0A, 0A, 0A]] * x_1 36.71/10.19 >>> 36.71/10.19 36.71/10.19 36.71/10.19 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: 36.71/10.19 36.71/10.19 b(b(b(x1))) -> b(a(a(a(x1)))) 36.71/10.19 a(a(b(a(x1)))) -> a(b(b(b(x1)))) 36.71/10.19 36.71/10.19 36.71/10.19 ---------------------------------------- 36.71/10.19 36.71/10.19 (4) 36.71/10.19 Obligation: popout

output may be truncated. 'popout' for the full output.

job log

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all output return to SRS_Standard 2019-03-29 03.29