details

property	value
status	complete
benchmark	x10.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n107.star.cs.uiowa.edu
space	Secret_07_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.0129 seconds
cpu usage	43.9912
user time	42.3124
system time	1.67876
max virtual memory	7.999094E7
max residence set size	4157364.0

stage attributes

key	value
starexec-result	YES

output

43.23/11.85 YES 43.58/11.92 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 43.58/11.92 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.58/11.92 43.58/11.92 43.58/11.92 Termination w.r.t. Q of the given QTRS could be proven: 43.58/11.92 43.58/11.92 (0) QTRS 43.58/11.92 (1) DependencyPairsProof [EQUIVALENT, 0 ms] 43.58/11.92 (2) QDP 43.58/11.92 (3) QDPOrderProof [EQUIVALENT, 147 ms] 43.58/11.92 (4) QDP 43.58/11.92 (5) QDPOrderProof [EQUIVALENT, 0 ms] 43.58/11.92 (6) QDP 43.58/11.92 (7) QDPOrderProof [EQUIVALENT, 30 ms] 43.58/11.92 (8) QDP 43.58/11.92 (9) QDPOrderProof [EQUIVALENT, 34 ms] 43.58/11.92 (10) QDP 43.58/11.92 (11) DependencyGraphProof [EQUIVALENT, 0 ms] 43.58/11.92 (12) TRUE 43.58/11.92 43.58/11.92 43.58/11.92 ---------------------------------------- 43.58/11.92 43.58/11.92 (0) 43.58/11.92 Obligation: 43.58/11.92 Q restricted rewrite system: 43.58/11.92 The TRS R consists of the following rules: 43.58/11.92 43.58/11.92 a(a(b(c(x1)))) -> b(b(a(a(x1)))) 43.58/11.92 b(x1) -> c(c(a(a(x1)))) 43.58/11.92 b(c(x1)) -> a(x1) 43.58/11.92 a(a(c(x1))) -> x1 43.58/11.92 43.58/11.92 Q is empty. 43.58/11.92 43.58/11.92 ---------------------------------------- 43.58/11.92 43.58/11.92 (1) DependencyPairsProof (EQUIVALENT) 43.58/11.92 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 43.58/11.92 ---------------------------------------- 43.58/11.92 43.58/11.92 (2) 43.58/11.92 Obligation: 43.58/11.92 Q DP problem: 43.58/11.92 The TRS P consists of the following rules: 43.58/11.92 43.58/11.92 A(a(b(c(x1)))) -> B(b(a(a(x1)))) 43.58/11.92 A(a(b(c(x1)))) -> B(a(a(x1))) 43.58/11.92 A(a(b(c(x1)))) -> A(a(x1)) 43.58/11.92 A(a(b(c(x1)))) -> A(x1) 43.58/11.92 B(x1) -> A(a(x1)) 43.58/11.92 B(x1) -> A(x1) 43.58/11.92 B(c(x1)) -> A(x1) 43.58/11.92 43.58/11.92 The TRS R consists of the following rules: 43.58/11.92 43.58/11.92 a(a(b(c(x1)))) -> b(b(a(a(x1)))) 43.58/11.92 b(x1) -> c(c(a(a(x1)))) 43.58/11.92 b(c(x1)) -> a(x1) 43.58/11.92 a(a(c(x1))) -> x1 43.58/11.92 43.58/11.92 Q is empty. 43.58/11.92 We have to consider all minimal (P,Q,R)-chains. 43.58/11.92 ---------------------------------------- 43.58/11.92 43.58/11.92 (3) QDPOrderProof (EQUIVALENT) 43.58/11.92 We use the reduction pair processor [LPAR04,JAR06]. 43.58/11.92 43.58/11.92 43.58/11.92 The following pairs can be oriented strictly and are deleted. 43.58/11.92 43.58/11.92 A(a(b(c(x1)))) -> B(a(a(x1))) 43.58/11.92 A(a(b(c(x1)))) -> A(a(x1)) 43.58/11.92 A(a(b(c(x1)))) -> A(x1) 43.58/11.92 The remaining pairs can at least be oriented weakly. 43.58/11.92 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: 43.58/11.92 43.58/11.92 <<< 43.58/11.92 POL(A(x_1)) = [[0A]] + [[-I, -I, 0A]] * x_1 43.58/11.92 >>> 43.58/11.92 43.58/11.92 <<< 43.58/11.92 POL(a(x_1)) = [[-I], [-I], [-I]] + [[0A, 0A, 0A], [0A, 0A, 0A], [-I, -I, 0A]] * x_1 43.58/11.92 >>> 43.58/11.92 43.58/11.92 <<< 43.58/11.92 POL(b(x_1)) = [[0A], [1A], [0A]] + [[0A, 0A, 0A], [0A, 0A, 0A], [1A, 0A, 0A]] * x_1 43.58/11.92 >>> 43.58/11.92 43.58/11.92 <<< 43.58/11.92 POL(c(x_1)) = [[0A], [0A], [-I]] + [[0A, 0A, 0A], [0A, 0A, 0A], [0A, 0A, 0A]] * x_1 43.58/11.92 >>> 43.58/11.92 43.58/11.92 <<< 43.58/11.92 POL(B(x_1)) = [[0A]] + [[-I, -I, 0A]] * x_1 43.58/11.92 >>> 43.58/11.92 43.58/11.92 43.58/11.92 The following usable rules [FROCOS05] with respect to the argument filtering of the ordering [JAR06] were oriented: popout

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

job log

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actions

all output return to SRS_Standard 2019-03-29 03.29