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/*******************************************************************************
* Copyright (c) University of Toronto and others. All rights reserved.
* The content of this file is licensed under the Creative Commons Attribution-
* ShareAlike 4.0 Unported license. The legal text of this license can be
* found at http://creativecommons.org/licenses/by-sa/4.0/legalcode.
*
* Original Author:
* Praha Ladislav NEBESKY
*
* Contributors:
* Carmen Chui, Michael Gruninger
*******************************************************************************/
(cl-text http://colore.oor.net/nebesky_ternary/root.clif
(cl-comment 'Axioms are from A new approach to chordal graphs')
(cl-comment 'See https://doi.org/10.1007/s10587-007-0073-5')
(cl-comment 'Axiom: A1')
(forall (u v w)
(if (S u v w)
(S v u u)))
(cl-comment 'Axiom: A2')
(forall (u v w)
(if (S u v w)
(and (not (= w u))
(not (= u v)))))
(cl-comment 'Axiom: A4')
(forall (u v w)
(if (and (S u v w)
(not (= v w)))
(exists (y)
(and (S v y w)
(not (= y u))
(not (S u y y))))))
)
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