details

property	value
status	complete
benchmark	zr08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n101.star.cs.uiowa.edu
space	Mixed_relative_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.63408 seconds
cpu usage	7.22052
user time	6.74826
system time	0.472266
max virtual memory	5.6203252E7
max residence set size	872260.0

stage attributes

key	value
starexec-result	YES

output

7.03/2.59 YES 7.03/2.60 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 7.03/2.60 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 7.03/2.60 7.03/2.60 7.03/2.60 Termination of the given RelTRS could be proven: 7.03/2.60 7.03/2.60 (0) RelTRS 7.03/2.60 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 7.03/2.60 (2) RelTRS 7.03/2.60 (3) RelTRSRRRProof [EQUIVALENT, 42 ms] 7.03/2.60 (4) RelTRS 7.03/2.60 (5) RelTRSRRRProof [EQUIVALENT, 19 ms] 7.03/2.60 (6) RelTRS 7.03/2.60 (7) RelTRSRRRProof [EQUIVALENT, 4 ms] 7.03/2.60 (8) RelTRS 7.03/2.60 (9) RIsEmptyProof [EQUIVALENT, 1 ms] 7.03/2.60 (10) YES 7.03/2.60 7.03/2.60 7.03/2.60 ---------------------------------------- 7.03/2.60 7.03/2.60 (0) 7.03/2.60 Obligation: 7.03/2.60 Relative term rewrite system: 7.03/2.60 The relative TRS consists of the following R rules: 7.03/2.60 7.03/2.60 b(b(x1)) -> c(d(x1)) 7.03/2.60 c(c(x1)) -> d(d(d(x1))) 7.03/2.60 d(d(d(x1))) -> a(c(x1)) 7.03/2.60 7.03/2.60 The relative TRS consists of the following S rules: 7.03/2.60 7.03/2.60 a(a(x1)) -> b(c(x1)) 7.03/2.60 b(c(x1)) -> a(a(x1)) 7.03/2.60 7.03/2.60 7.03/2.60 ---------------------------------------- 7.03/2.60 7.03/2.60 (1) RelTRS Reverse (EQUIVALENT) 7.03/2.60 We have reversed the following relative TRS [REVERSE]: 7.03/2.60 The set of rules R is 7.03/2.60 b(b(x1)) -> c(d(x1)) 7.03/2.60 c(c(x1)) -> d(d(d(x1))) 7.03/2.60 d(d(d(x1))) -> a(c(x1)) 7.03/2.60 7.03/2.60 The set of rules S is 7.03/2.60 a(a(x1)) -> b(c(x1)) 7.03/2.60 b(c(x1)) -> a(a(x1)) 7.03/2.60 7.03/2.60 We have obtained the following relative TRS: 7.03/2.60 The set of rules R is 7.03/2.60 b(b(x1)) -> d(c(x1)) 7.03/2.60 c(c(x1)) -> d(d(d(x1))) 7.03/2.60 d(d(d(x1))) -> c(a(x1)) 7.03/2.60 7.03/2.60 The set of rules S is 7.03/2.60 a(a(x1)) -> c(b(x1)) 7.03/2.60 c(b(x1)) -> a(a(x1)) 7.03/2.60 7.03/2.60 7.03/2.60 ---------------------------------------- 7.03/2.60 7.03/2.60 (2) 7.03/2.60 Obligation: 7.03/2.60 Relative term rewrite system: 7.03/2.60 The relative TRS consists of the following R rules: 7.03/2.60 7.03/2.60 b(b(x1)) -> d(c(x1)) 7.03/2.60 c(c(x1)) -> d(d(d(x1))) 7.03/2.60 d(d(d(x1))) -> c(a(x1)) 7.03/2.60 7.03/2.60 The relative TRS consists of the following S rules: 7.03/2.60 7.03/2.60 a(a(x1)) -> c(b(x1)) 7.03/2.60 c(b(x1)) -> a(a(x1)) 7.03/2.60 7.03/2.60 7.03/2.60 ---------------------------------------- 7.03/2.60 7.03/2.60 (3) RelTRSRRRProof (EQUIVALENT) 7.03/2.60 We used the following monotonic ordering for rule removal: 7.03/2.60 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 7.03/2.60 7.03/2.60 <<< 7.03/2.60 POL(b(x_1)) = [[1], [2]] + [[1, 1], [0, 0]] * x_1 7.03/2.60 >>> 7.03/2.60 7.03/2.60 <<< 7.03/2.60 POL(d(x_1)) = [[0], [2]] + [[1, 1], [0, 0]] * x_1 7.03/2.60 >>> 7.03/2.60 7.03/2.60 <<< 7.03/2.60 POL(c(x_1)) = [[1], [2]] + [[1, 1], [0, 0]] * x_1 7.03/2.60 >>> 7.03/2.60 7.03/2.60 <<< 7.03/2.60 POL(a(x_1)) = [[1], [2]] + [[1, 1], [0, 0]] * x_1 7.03/2.60 >>> 7.03/2.60 popout

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all output return to SRS_Relative 2019-03-29 08.12