details

property	value
status	complete
benchmark	random-42.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n017.star.cs.uiowa.edu
space	Waldmann_19

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	3.02119 seconds
cpu usage	8.33555
user time	7.9638
system time	0.371747
max virtual memory	3.8036328E7
max residence set size	833072.0

stage attributes

key	value
starexec-result	YES

output

8.13/2.86 YES 8.13/2.87 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 8.13/2.87 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.13/2.87 8.13/2.87 8.13/2.87 Termination of the given RelTRS could be proven: 8.13/2.87 8.13/2.87 (0) RelTRS 8.13/2.87 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 8.13/2.87 (2) RelTRS 8.13/2.87 (3) RelTRSRRRProof [EQUIVALENT, 460 ms] 8.13/2.87 (4) RelTRS 8.13/2.87 (5) RelTRSRRRProof [EQUIVALENT, 6 ms] 8.13/2.87 (6) RelTRS 8.13/2.87 (7) RIsEmptyProof [EQUIVALENT, 0 ms] 8.13/2.87 (8) YES 8.13/2.87 8.13/2.87 8.13/2.87 ---------------------------------------- 8.13/2.87 8.13/2.87 (0) 8.13/2.87 Obligation: 8.13/2.87 Relative term rewrite system: 8.13/2.87 The relative TRS consists of the following R rules: 8.13/2.87 8.13/2.87 a(a(c(x1))) -> b(a(a(x1))) 8.13/2.87 b(c(a(x1))) -> a(a(a(x1))) 8.13/2.87 8.13/2.87 The relative TRS consists of the following S rules: 8.13/2.87 8.13/2.87 c(a(a(x1))) -> b(c(a(x1))) 8.13/2.87 c(c(a(x1))) -> c(a(c(x1))) 8.13/2.87 a(b(c(x1))) -> a(c(b(x1))) 8.13/2.87 a(b(b(x1))) -> b(a(c(x1))) 8.13/2.87 a(a(c(x1))) -> a(c(a(x1))) 8.13/2.87 8.13/2.87 8.13/2.87 ---------------------------------------- 8.13/2.87 8.13/2.87 (1) RelTRS Reverse (EQUIVALENT) 8.13/2.87 We have reversed the following relative TRS [REVERSE]: 8.13/2.87 The set of rules R is 8.13/2.87 a(a(c(x1))) -> b(a(a(x1))) 8.13/2.87 b(c(a(x1))) -> a(a(a(x1))) 8.13/2.87 8.13/2.87 The set of rules S is 8.13/2.87 c(a(a(x1))) -> b(c(a(x1))) 8.13/2.87 c(c(a(x1))) -> c(a(c(x1))) 8.13/2.87 a(b(c(x1))) -> a(c(b(x1))) 8.13/2.87 a(b(b(x1))) -> b(a(c(x1))) 8.13/2.87 a(a(c(x1))) -> a(c(a(x1))) 8.13/2.87 8.13/2.87 We have obtained the following relative TRS: 8.13/2.87 The set of rules R is 8.13/2.87 c(a(a(x1))) -> a(a(b(x1))) 8.13/2.87 a(c(b(x1))) -> a(a(a(x1))) 8.13/2.87 8.13/2.87 The set of rules S is 8.13/2.87 a(a(c(x1))) -> a(c(b(x1))) 8.13/2.87 a(c(c(x1))) -> c(a(c(x1))) 8.13/2.87 c(b(a(x1))) -> b(c(a(x1))) 8.13/2.87 b(b(a(x1))) -> c(a(b(x1))) 8.13/2.87 c(a(a(x1))) -> a(c(a(x1))) 8.13/2.87 8.13/2.87 8.13/2.87 ---------------------------------------- 8.13/2.87 8.13/2.87 (2) 8.13/2.87 Obligation: 8.13/2.87 Relative term rewrite system: 8.13/2.87 The relative TRS consists of the following R rules: 8.13/2.87 8.13/2.87 c(a(a(x1))) -> a(a(b(x1))) 8.13/2.87 a(c(b(x1))) -> a(a(a(x1))) 8.13/2.87 8.13/2.87 The relative TRS consists of the following S rules: 8.13/2.87 8.13/2.87 a(a(c(x1))) -> a(c(b(x1))) 8.13/2.87 a(c(c(x1))) -> c(a(c(x1))) 8.13/2.87 c(b(a(x1))) -> b(c(a(x1))) 8.13/2.87 b(b(a(x1))) -> c(a(b(x1))) 8.13/2.87 c(a(a(x1))) -> a(c(a(x1))) 8.13/2.87 8.13/2.87 8.13/2.87 ---------------------------------------- 8.13/2.87 8.13/2.87 (3) RelTRSRRRProof (EQUIVALENT) 8.13/2.87 We used the following monotonic ordering for rule removal: 8.13/2.87 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 8.13/2.87 8.13/2.87 <<< 8.13/2.87 POL(c(x_1)) = [[1], [0]] + [[2, 2], [0, 2]] * x_1 8.13/2.87 >>> 8.13/2.87 8.13/2.87 <<< 8.13/2.87 POL(a(x_1)) = [[1], [0]] + [[2, 0], [0, 0]] * x_1 8.13/2.87 >>> 8.13/2.87 8.13/2.87 <<< 8.13/2.87 POL(b(x_1)) = [[0], [1]] + [[2, 0], [0, 0]] * x_1 popout

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all output return to SRS_Relative 2019-03-29 08.12