details

property	value
status	complete
benchmark	random-202.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n054.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	17.6537 seconds
cpu usage	66.81
user time	64.8
system time	2.01
max virtual memory	5.7938224E7
max residence set size	4600952.0

stage attributes

key	value
starexec-result	YES

output

66.65/17.61 YES 66.65/17.61 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 66.65/17.61 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 66.65/17.61 66.65/17.61 66.65/17.61 Termination of the given RelTRS could be proven: 66.65/17.61 66.65/17.61 (0) RelTRS 66.65/17.61 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 66.65/17.61 (2) RelTRS 66.65/17.61 (3) RelTRSRRRProof [EQUIVALENT, 1228 ms] 66.65/17.61 (4) RelTRS 66.65/17.61 (5) RelTRSRRRProof [EQUIVALENT, 877 ms] 66.65/17.61 (6) RelTRS 66.65/17.61 (7) RelTRSRRRProof [EQUIVALENT, 8 ms] 66.65/17.61 (8) RelTRS 66.65/17.61 (9) RelTRSRRRProof [EQUIVALENT, 8 ms] 66.65/17.61 (10) RelTRS 66.65/17.61 (11) RIsEmptyProof [EQUIVALENT, 0 ms] 66.65/17.61 (12) YES 66.65/17.61 66.65/17.61 66.65/17.61 ---------------------------------------- 66.65/17.61 66.65/17.61 (0) 66.65/17.61 Obligation: 66.65/17.61 Relative term rewrite system: 66.65/17.61 The relative TRS consists of the following R rules: 66.65/17.61 66.65/17.61 a(a(a(x1))) -> b(b(c(x1))) 66.65/17.61 b(b(b(x1))) -> c(c(b(x1))) 66.65/17.61 66.65/17.61 The relative TRS consists of the following S rules: 66.65/17.61 66.65/17.61 a(c(a(x1))) -> b(c(b(x1))) 66.65/17.61 b(c(b(x1))) -> a(c(c(x1))) 66.65/17.61 c(c(a(x1))) -> b(b(a(x1))) 66.65/17.61 c(a(a(x1))) -> b(b(c(x1))) 66.65/17.61 66.65/17.61 66.65/17.61 ---------------------------------------- 66.65/17.61 66.65/17.61 (1) RelTRS Reverse (EQUIVALENT) 66.65/17.61 We have reversed the following relative TRS [REVERSE]: 66.65/17.61 The set of rules R is 66.65/17.61 a(a(a(x1))) -> b(b(c(x1))) 66.65/17.61 b(b(b(x1))) -> c(c(b(x1))) 66.65/17.61 66.65/17.61 The set of rules S is 66.65/17.61 a(c(a(x1))) -> b(c(b(x1))) 66.65/17.61 b(c(b(x1))) -> a(c(c(x1))) 66.65/17.61 c(c(a(x1))) -> b(b(a(x1))) 66.65/17.61 c(a(a(x1))) -> b(b(c(x1))) 66.65/17.61 66.65/17.61 We have obtained the following relative TRS: 66.65/17.61 The set of rules R is 66.65/17.61 a(a(a(x1))) -> c(b(b(x1))) 66.65/17.61 b(b(b(x1))) -> b(c(c(x1))) 66.65/17.61 66.65/17.61 The set of rules S is 66.65/17.61 a(c(a(x1))) -> b(c(b(x1))) 66.65/17.61 b(c(b(x1))) -> c(c(a(x1))) 66.65/17.61 a(c(c(x1))) -> a(b(b(x1))) 66.65/17.61 a(a(c(x1))) -> c(b(b(x1))) 66.65/17.61 66.65/17.61 66.65/17.61 ---------------------------------------- 66.65/17.61 66.65/17.61 (2) 66.65/17.61 Obligation: 66.65/17.61 Relative term rewrite system: 66.65/17.61 The relative TRS consists of the following R rules: 66.65/17.61 66.65/17.61 a(a(a(x1))) -> c(b(b(x1))) 66.65/17.61 b(b(b(x1))) -> b(c(c(x1))) 66.65/17.61 66.65/17.61 The relative TRS consists of the following S rules: 66.65/17.61 66.65/17.61 a(c(a(x1))) -> b(c(b(x1))) 66.65/17.61 b(c(b(x1))) -> c(c(a(x1))) 66.65/17.61 a(c(c(x1))) -> a(b(b(x1))) 66.65/17.61 a(a(c(x1))) -> c(b(b(x1))) 66.65/17.61 66.65/17.61 66.65/17.61 ---------------------------------------- 66.65/17.61 66.65/17.61 (3) RelTRSRRRProof (EQUIVALENT) 66.65/17.61 We used the following monotonic ordering for rule removal: 66.65/17.61 Matrix interpretation [MATRO] to (N^6, +, *, >=, >) : 66.65/17.61 66.65/17.61 <<< 66.65/17.61 POL(a(x_1)) = [[0], [0], [0], [0], [0], [1]] + [[1, 0, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1 66.65/17.61 >>> 66.65/17.61 66.65/17.61 <<< 66.65/17.61 POL(c(x_1)) = [[0], [0], [0], [0], [0], [0]] + [[1, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 1], [0, 1, 0, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1 66.65/17.61 >>> 66.65/17.61 66.65/17.61 <<< 66.65/17.61 POL(b(x_1)) = [[0], [0], [0], [0], [0], [0]] + [[1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0]] * x_1 popout

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actions

all output return to SRS_Relative 2019-03-29 08.12