(M1::OK-INPUTS)
(M1::!)
(M1::THETA)
(M1::HELPER)
(M1::FN)
(M1::HELPER-IS-THETA
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(M1::FN-IS-THETA
 (20 2 (:DEFINITION M1::!))
 (6 3 (:REWRITE DEFAULT-TIMES-2))
 (3 3 (:REWRITE DEFAULT-TIMES-1))
 (2 2 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (2 2 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (2 2 (:REWRITE NORMALIZE-ADDENDS))
 (2 2 (:REWRITE DEFAULT-PLUS-2))
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 (1 1 (:REWRITE THE-FLOOR-BELOW))
 (1 1 (:REWRITE THE-FLOOR-ABOVE))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-REMAINDER))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-AX+BX-<-0-RATIONAL-COMMON))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES))
 (1 1 (:REWRITE REMOVE-STRICT-INEQUALITIES))
 (1 1 (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE REDUCE-ADDITIVE-CONSTANT-<))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
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 (1 1 (:REWRITE DEFAULT-LESS-THAN-2))
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 (1 1 (:REWRITE CONSTANT-<-INTEGERP))
 (1 1 (:REWRITE |(< c (/ x)) positive c --- present in goal|))
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(M1::LOOP-CLK)
(M1::CLK)
(M1::POISED-TO-LOOP)
(M1::LOOP-HINT)
(M1::ABOUT-MAKE-STATE
 (6 3 (:REWRITE DEFAULT-PLUS-2))
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(M1::FACT-LOOP-LOCALS)
(M1::FACT-LOOP-THM
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 (1 1 (:REWRITE |(equal (+ (- c) x) y)|))
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(M1::POISED-FOR-FACT)
(M1::FACT-LOCALS)
(M1::FACT-THM
 (129 3 (:DEFINITION M1::HELPER))
 (30 3 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (28 4 (:REWRITE ACL2-NUMBERP-X))
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 (7 1 (:DEFINITION LEN))
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 (6 6 (:REWRITE THE-FLOOR-ABOVE))
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(M1::TOTAL-CORRECTNESS
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