details

property	value
status	complete
benchmark	size-12-alpha-3-num-86.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n164.star.cs.uiowa.edu
space	Waldmann_07_size12

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.8807 seconds
cpu usage	43.6259
user time	41.9603
system time	1.66563
max virtual memory	6.2829424E7
max residence set size	4163128.0

stage attributes

key	value
starexec-result	YES

output

42.92/12.69 YES 43.11/12.78 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 43.11/12.78 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 43.11/12.78 43.11/12.78 43.11/12.78 Termination w.r.t. Q of the given QTRS could be proven: 43.11/12.78 43.11/12.78 (0) QTRS 43.11/12.78 (1) QTRS Reverse [EQUIVALENT, 0 ms] 43.11/12.78 (2) QTRS 43.11/12.78 (3) DependencyPairsProof [EQUIVALENT, 22 ms] 43.11/12.78 (4) QDP 43.11/12.78 (5) QDPOrderProof [EQUIVALENT, 121 ms] 43.11/12.78 (6) QDP 43.11/12.78 (7) QDPOrderProof [EQUIVALENT, 34 ms] 43.11/12.78 (8) QDP 43.11/12.78 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 43.11/12.78 (10) QDP 43.11/12.78 (11) QDPOrderProof [EQUIVALENT, 34 ms] 43.11/12.78 (12) QDP 43.11/12.78 (13) DependencyGraphProof [EQUIVALENT, 0 ms] 43.11/12.78 (14) TRUE 43.11/12.78 43.11/12.78 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (0) 43.11/12.78 Obligation: 43.11/12.78 Q restricted rewrite system: 43.11/12.78 The TRS R consists of the following rules: 43.11/12.78 43.11/12.78 a(x1) -> x1 43.11/12.78 a(a(x1)) -> b(a(c(b(x1)))) 43.11/12.78 b(x1) -> c(x1) 43.11/12.78 b(c(x1)) -> a(x1) 43.11/12.78 43.11/12.78 Q is empty. 43.11/12.78 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (1) QTRS Reverse (EQUIVALENT) 43.11/12.78 We applied the QTRS Reverse Processor [REVERSE]. 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (2) 43.11/12.78 Obligation: 43.11/12.78 Q restricted rewrite system: 43.11/12.78 The TRS R consists of the following rules: 43.11/12.78 43.11/12.78 a(x1) -> x1 43.11/12.78 a(a(x1)) -> b(c(a(b(x1)))) 43.11/12.78 b(x1) -> c(x1) 43.11/12.78 c(b(x1)) -> a(x1) 43.11/12.78 43.11/12.78 Q is empty. 43.11/12.78 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (3) DependencyPairsProof (EQUIVALENT) 43.11/12.78 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (4) 43.11/12.78 Obligation: 43.11/12.78 Q DP problem: 43.11/12.78 The TRS P consists of the following rules: 43.11/12.78 43.11/12.78 A(a(x1)) -> B(c(a(b(x1)))) 43.11/12.78 A(a(x1)) -> C(a(b(x1))) 43.11/12.78 A(a(x1)) -> A(b(x1)) 43.11/12.78 A(a(x1)) -> B(x1) 43.11/12.78 B(x1) -> C(x1) 43.11/12.78 C(b(x1)) -> A(x1) 43.11/12.78 43.11/12.78 The TRS R consists of the following rules: 43.11/12.78 43.11/12.78 a(x1) -> x1 43.11/12.78 a(a(x1)) -> b(c(a(b(x1)))) 43.11/12.78 b(x1) -> c(x1) 43.11/12.78 c(b(x1)) -> a(x1) 43.11/12.78 43.11/12.78 Q is empty. 43.11/12.78 We have to consider all minimal (P,Q,R)-chains. 43.11/12.78 ---------------------------------------- 43.11/12.78 43.11/12.78 (5) QDPOrderProof (EQUIVALENT) 43.11/12.78 We use the reduction pair processor [LPAR04,JAR06]. 43.11/12.78 43.11/12.78 43.11/12.78 The following pairs can be oriented strictly and are deleted. 43.11/12.78 43.11/12.78 A(a(x1)) -> A(b(x1)) 43.11/12.78 The remaining pairs can at least be oriented weakly. 43.11/12.78 Used ordering: Matrix interpretation [MATRO] with arctic natural numbers [ARCTIC]: 43.11/12.78 43.11/12.78 <<< 43.11/12.78 POL(A(x_1)) = [[-I]] + [[0A, 0A, -I]] * x_1 43.11/12.78 >>> 43.11/12.78 43.11/12.78 <<< 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