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(in-package "ACL2")
(program)
(set-state-ok t)
(include-book "bash")
(defmacro incat (sym &rest strings)
`(intern-in-package-of-symbol
(concatenate 'string
. ,strings)
,sym))
(defun smpl-clause-to-theorem (clause)
`(implies (and . ,(dumb-negate-lit-lst (butlast clause 1)))
,(car (last clause))))
(defun smpl-clauses-to-theorems (clauses)
(if (atom clauses)
nil
(cons (smpl-clause-to-theorem (car clauses))
(smpl-clauses-to-theorems (cdr clauses)))))
(defun smpl-to-theorems (term hints state)
(er-let* ((clauses (simplify-with-prover term hints 'smpl-to-theorems state)))
(value (smpl-clauses-to-theorems clauses))))
(defun smpl-clauses-to-defthms (namebase n clauses args)
(if (atom clauses)
nil
(cons `(defthm ,(incat namebase (symbol-name namebase) "-"
(explode-atom n 10))
,(car clauses)
. ,args)
(smpl-clauses-to-defthms namebase (1+ n) (cdr clauses) args))))
(defun simplify-thm-fn (namebase form smpl-hints args state)
(er-let* ((forms (smpl-to-theorems form smpl-hints state)))
(value (smpl-clauses-to-defthms
namebase 0 forms args))))
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