details

property	value
status	complete
benchmark	rt2-3.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	Relative_05

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.81605 seconds
cpu usage	3.90494
user time	3.73471
system time	0.170225
max virtual memory	1.874298E7
max residence set size	286704.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 30 ms] (2) RelTRS (3) RIsEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: R(x, B2) -> B2 W(x, B2) -> B2 The relative TRS consists of the following S rules: B1 -> R(T, B1) B1 -> W(T, B1) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(R(x_1, x_2)) = [[0], [0]] + [[1, 0], [1, 0]] * x_1 + [[1, 1], [0, 1]] * x_2 >>> <<< POL(B2) = [[1], [1]] >>> <<< POL(W(x_1, x_2)) = [[0], [0]] + [[1, 0], [1, 0]] * x_1 + [[1, 1], [0, 1]] * x_2 >>> <<< POL(B1) = [[1], [0]] >>> <<< POL(T) = [[0], [1]] >>> With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: R(x, B2) -> B2 W(x, B2) -> B2 Rules from S: none ---------------------------------------- (2) Obligation: Relative term rewrite system: R is empty. The relative TRS consists of the following S rules: B1 -> R(T, B1) B1 -> W(T, B1) ---------------------------------------- (3) RIsEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES popout

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job log

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actions

all output return to TRS Relative