details

property	value
status	complete
benchmark	rel08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n167.star.cs.uiowa.edu
space	Zantema_06_relative

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.20884 seconds
cpu usage	9.21038
user time	8.65038
system time	0.56
max virtual memory	5.8997932E7
max residence set size	1298084.0

stage attributes

key	value
starexec-result	YES

output

9.05/3.13 YES 9.05/3.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 9.05/3.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.05/3.14 9.05/3.14 9.05/3.14 Termination of the given RelTRS could be proven: 9.05/3.14 9.05/3.14 (0) RelTRS 9.05/3.14 (1) RelTRSRRRProof [EQUIVALENT, 148 ms] 9.05/3.14 (2) RelTRS 9.05/3.14 (3) RelTRSRRRProof [EQUIVALENT, 7 ms] 9.05/3.14 (4) RelTRS 9.05/3.14 (5) RelTRSRRRProof [EQUIVALENT, 27 ms] 9.05/3.14 (6) RelTRS 9.05/3.14 (7) RelTRSRRRProof [EQUIVALENT, 7 ms] 9.05/3.14 (8) RelTRS 9.05/3.14 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 9.05/3.14 (10) YES 9.05/3.14 9.05/3.14 9.05/3.14 ---------------------------------------- 9.05/3.14 9.05/3.14 (0) 9.05/3.14 Obligation: 9.05/3.14 Relative term rewrite system: 9.05/3.14 The relative TRS consists of the following R rules: 9.05/3.14 9.05/3.14 a(x1) -> x1 9.05/3.14 b(x1) -> x1 9.05/3.14 a(c(x1)) -> b(b(c(a(x1)))) 9.05/3.14 d(b(b(b(x1)))) -> a(d(a(x1))) 9.05/3.14 9.05/3.14 The relative TRS consists of the following S rules: 9.05/3.14 9.05/3.14 a(b(x1)) -> b(a(x1)) 9.05/3.14 b(a(x1)) -> a(b(x1)) 9.05/3.14 9.05/3.14 9.05/3.14 ---------------------------------------- 9.05/3.14 9.05/3.14 (1) RelTRSRRRProof (EQUIVALENT) 9.05/3.14 We used the following monotonic ordering for rule removal: 9.05/3.14 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 9.05/3.14 9.05/3.14 <<< 9.05/3.14 POL(a(x_1)) = [[0], [2]] + [[1, 0], [0, 1]] * x_1 9.05/3.14 >>> 9.05/3.14 9.05/3.14 <<< 9.05/3.14 POL(b(x_1)) = [[0], [1]] + [[1, 0], [0, 1]] * x_1 9.05/3.14 >>> 9.05/3.14 9.05/3.14 <<< 9.05/3.14 POL(c(x_1)) = [[0], [0]] + [[2, 0], [0, 0]] * x_1 9.05/3.14 >>> 9.05/3.14 9.05/3.14 <<< 9.05/3.14 POL(d(x_1)) = [[0], [0]] + [[1, 2], [0, 2]] * x_1 9.05/3.14 >>> 9.05/3.14 9.05/3.14 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 9.05/3.14 Rules from R: 9.05/3.14 9.05/3.14 d(b(b(b(x1)))) -> a(d(a(x1))) 9.05/3.14 Rules from S: 9.05/3.14 none 9.05/3.14 9.05/3.14 9.05/3.14 9.05/3.14 9.05/3.14 ---------------------------------------- 9.05/3.14 9.05/3.14 (2) 9.05/3.14 Obligation: 9.05/3.14 Relative term rewrite system: 9.05/3.14 The relative TRS consists of the following R rules: 9.05/3.14 9.05/3.14 a(x1) -> x1 9.05/3.14 b(x1) -> x1 9.05/3.14 a(c(x1)) -> b(b(c(a(x1)))) 9.05/3.14 9.05/3.14 The relative TRS consists of the following S rules: 9.05/3.14 9.05/3.14 a(b(x1)) -> b(a(x1)) 9.05/3.14 b(a(x1)) -> a(b(x1)) 9.05/3.14 9.05/3.14 9.05/3.14 ---------------------------------------- 9.05/3.14 9.05/3.14 (3) RelTRSRRRProof (EQUIVALENT) 9.05/3.14 We used the following monotonic ordering for rule removal: 9.05/3.14 Polynomial interpretation [POLO]: 9.05/3.14 9.05/3.14 POL(a(x_1)) = 1 + x_1 9.05/3.14 POL(b(x_1)) = x_1 9.05/3.14 POL(c(x_1)) = x_1 9.05/3.14 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 9.05/3.14 Rules from R: 9.05/3.14 9.05/3.14 a(x1) -> x1 popout

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all output return to SRS_Relative 2019-03-29 08.12