acl2-books-certs 6.3-5 / usr / share / acl2-6.3 / books / arithmetic-5 / top.cert

(IN-PACKAGE "ACL2")
"ACL2 Version 6.3"
:BEGIN-PORTCULLIS-CMDS
:END-PORTCULLIS-CMDS
:EXPANSION-ALIST
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(:EXECUTABLE-COUNTERPART REVERSE) (:DEFINITION REVERSE) (:REWRITE CHARACTER-LISTP-REVAPPEND) (:INDUCTION REVAPPEND) (:TYPE-PRESCRIPTION REVAPPEND) (:EXECUTABLE-COUNTERPART REVAPPEND) (:DEFINITION REVAPPEND) (:TYPE-PRESCRIPTION IDENTITY) (:EXECUTABLE-COUNTERPART IDENTITY) (:DEFINITION IDENTITY) (:REWRITE CHARACTER-LISTP-REMOVE-DUPLICATES) (:REWRITE REMOVE-DUPLICATES-EQL-EXEC-IS-REMOVE-DUPLICATES-EQUAL) (:REWRITE REMOVE-DUPLICATES-EQ-EXEC-IS-REMOVE-DUPLICATES-EQUAL) (:INDUCTION REMOVE-DUPLICATES-EQUAL) (:TYPE-PRESCRIPTION REMOVE-DUPLICATES-EQUAL) (:EXECUTABLE-COUNTERPART REMOVE-DUPLICATES-EQUAL) (:DEFINITION REMOVE-DUPLICATES-EQUAL) (:INDUCTION REMOVE-DUPLICATES-EQL-EXEC) (:TYPE-PRESCRIPTION REMOVE-DUPLICATES-EQL-EXEC) (:EXECUTABLE-COUNTERPART REMOVE-DUPLICATES-EQL-EXEC) (:DEFINITION REMOVE-DUPLICATES-EQL-EXEC) (:INDUCTION REMOVE-DUPLICATES-EQ-EXEC) (:TYPE-PRESCRIPTION REMOVE-DUPLICATES-EQ-EXEC) (:EXECUTABLE-COUNTERPART REMOVE-DUPLICATES-EQ-EXEC) (:DEFINITION REMOVE-DUPLICATES-EQ-EXEC) (:INDUCTION PAIRLIS$) (:TYPE-PRESCRIPTION PAIRLIS$) (:EXECUTABLE-COUNTERPART PAIRLIS$) (:DEFINITION PAIRLIS$) (:REWRITE REMOVE1-EQL-EXEC-IS-REMOVE1-EQUAL) (:REWRITE REMOVE1-EQ-EXEC-IS-REMOVE1-EQUAL) (:INDUCTION REMOVE1-EQUAL) (:TYPE-PRESCRIPTION REMOVE1-EQUAL) (:EXECUTABLE-COUNTERPART REMOVE1-EQUAL) (:DEFINITION REMOVE1-EQUAL) (:INDUCTION REMOVE1-EQL-EXEC) (:TYPE-PRESCRIPTION REMOVE1-EQL-EXEC) (:EXECUTABLE-COUNTERPART REMOVE1-EQL-EXEC) (:DEFINITION REMOVE1-EQL-EXEC) (:INDUCTION REMOVE1-EQ-EXEC) (:TYPE-PRESCRIPTION REMOVE1-EQ-EXEC) (:EXECUTABLE-COUNTERPART REMOVE1-EQ-EXEC) (:DEFINITION REMOVE1-EQ-EXEC) (:REWRITE REMOVE-EQL-EXEC-IS-REMOVE-EQUAL) (:REWRITE REMOVE-EQ-EXEC-IS-REMOVE-EQUAL) (:INDUCTION REMOVE-EQUAL) (:TYPE-PRESCRIPTION REMOVE-EQUAL) (:EXECUTABLE-COUNTERPART REMOVE-EQUAL) (:DEFINITION REMOVE-EQUAL) (:INDUCTION REMOVE-EQL-EXEC) (:TYPE-PRESCRIPTION REMOVE-EQL-EXEC) (:EXECUTABLE-COUNTERPART REMOVE-EQL-EXEC) (:DEFINITION REMOVE-EQL-EXEC) (:INDUCTION REMOVE-EQ-EXEC) 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(:REWRITE CHARACTER-LISTP-STRING-DOWNCASE-1) (:INDUCTION STRING-DOWNCASE1) (:TYPE-PRESCRIPTION STRING-DOWNCASE1) (:EXECUTABLE-COUNTERPART STRING-DOWNCASE1) (:DEFINITION STRING-DOWNCASE1) (:TYPE-PRESCRIPTION CHARACTERP-CHAR-UPCASE) (:TYPE-PRESCRIPTION CHARACTERP-CHAR-DOWNCASE) (:FORWARD-CHAINING ALPHA-CHAR-P-FORWARD-TO-CHARACTERP) (:FORWARD-CHAINING UPPER-CASE-P-FORWARD-TO-ALPHA-CHAR-P) (:FORWARD-CHAINING LOWER-CASE-P-FORWARD-TO-ALPHA-CHAR-P) (:REWRITE UPPER-CASE-P-CHAR-UPCASE) (:REWRITE LOWER-CASE-P-CHAR-DOWNCASE) (:TYPE-PRESCRIPTION CHAR-DOWNCASE) (:EXECUTABLE-COUNTERPART CHAR-DOWNCASE) (:TYPE-PRESCRIPTION CHAR-UPCASE) (:EXECUTABLE-COUNTERPART CHAR-UPCASE) (:TYPE-PRESCRIPTION LOWER-CASE-P) (:EXECUTABLE-COUNTERPART LOWER-CASE-P) (:TYPE-PRESCRIPTION UPPER-CASE-P) (:EXECUTABLE-COUNTERPART UPPER-CASE-P) (:TYPE-PRESCRIPTION ALPHA-CHAR-P) (:EXECUTABLE-COUNTERPART ALPHA-CHAR-P) (:TYPE-PRESCRIPTION STRING) (:EXECUTABLE-COUNTERPART STRING) (:DEFINITION STRING) (:FORWARD-CHAINING 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(:DEFINITION WEAK-GAG-INFO-P) (:TYPE-PRESCRIPTION WEAK-PROVE-SPEC-VAR-P) (:EXECUTABLE-COUNTERPART WEAK-PROVE-SPEC-VAR-P) (:DEFINITION WEAK-PROVE-SPEC-VAR-P) (:TYPE-PRESCRIPTION WEAK-BUILT-IN-CLAUSE-P) (:EXECUTABLE-COUNTERPART WEAK-BUILT-IN-CLAUSE-P) (:DEFINITION WEAK-BUILT-IN-CLAUSE-P) (:TYPE-PRESCRIPTION WEAK-FC-ACTIVATION-P) (:EXECUTABLE-COUNTERPART WEAK-FC-ACTIVATION-P) (:DEFINITION WEAK-FC-ACTIVATION-P) (:TYPE-PRESCRIPTION WEAK-FORWARD-CHAINING-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-FORWARD-CHAINING-RULE-P) (:DEFINITION WEAK-FORWARD-CHAINING-RULE-P) (:TYPE-PRESCRIPTION RELIEVE-HYP-FAILURE-ENTRY-SKIP-P-BUILTIN) (:EXECUTABLE-COUNTERPART RELIEVE-HYP-FAILURE-ENTRY-SKIP-P-BUILTIN) (:DEFINITION RELIEVE-HYP-FAILURE-ENTRY-SKIP-P-BUILTIN) (:TYPE-PRESCRIPTION WEAK-RW-CACHE-ENTRY-P) (:EXECUTABLE-COUNTERPART WEAK-RW-CACHE-ENTRY-P) (:DEFINITION WEAK-RW-CACHE-ENTRY-P) (:TYPE-PRESCRIPTION WEAK-EXPAND-HINT-P) (:EXECUTABLE-COUNTERPART WEAK-EXPAND-HINT-P) (:DEFINITION WEAK-EXPAND-HINT-P) (:TYPE-PRESCRIPTION WEAK-GFRAME-P) (:EXECUTABLE-COUNTERPART WEAK-GFRAME-P) (:DEFINITION WEAK-GFRAME-P) (:TYPE-PRESCRIPTION WEAK-STEP-LIMIT-RECORD-P) (:EXECUTABLE-COUNTERPART WEAK-STEP-LIMIT-RECORD-P) (:DEFINITION WEAK-STEP-LIMIT-RECORD-P) (:TYPE-PRESCRIPTION WEAK-METAFUNCTION-CONTEXT-P) (:EXECUTABLE-COUNTERPART WEAK-METAFUNCTION-CONTEXT-P) (:DEFINITION WEAK-METAFUNCTION-CONTEXT-P) (:TYPE-PRESCRIPTION WEAK-REWRITE-CONSTANT-P) (:EXECUTABLE-COUNTERPART WEAK-REWRITE-CONSTANT-P) (:DEFINITION WEAK-REWRITE-CONSTANT-P) (:TYPE-PRESCRIPTION WEAK-CURRENT-LITERAL-P) (:EXECUTABLE-COUNTERPART WEAK-CURRENT-LITERAL-P) (:DEFINITION WEAK-CURRENT-LITERAL-P) (:TYPE-PRESCRIPTION WEAK-LINEAR-LEMMA-P) (:EXECUTABLE-COUNTERPART WEAK-LINEAR-LEMMA-P) (:DEFINITION WEAK-LINEAR-LEMMA-P) (:TYPE-PRESCRIPTION WEAK-REWRITE-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-REWRITE-RULE-P) (:DEFINITION WEAK-REWRITE-RULE-P) (:TYPE-PRESCRIPTION QUICK-AND-DIRTY-SRS-BUILTIN) (:EXECUTABLE-COUNTERPART QUICK-AND-DIRTY-SRS-BUILTIN) (:DEFINITION QUICK-AND-DIRTY-SRS-BUILTIN) (:TYPE-PRESCRIPTION WEAK-CONGRUENCE-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-CONGRUENCE-RULE-P) (:DEFINITION WEAK-CONGRUENCE-RULE-P) (:TYPE-PRESCRIPTION WEAK-BOUNDER-CORRECTNESS-P) (:EXECUTABLE-COUNTERPART WEAK-BOUNDER-CORRECTNESS-P) (:DEFINITION WEAK-BOUNDER-CORRECTNESS-P) (:TYPE-PRESCRIPTION WEAK-BIG-SWITCH-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-BIG-SWITCH-RULE-P) (:DEFINITION WEAK-BIG-SWITCH-RULE-P) (:TYPE-PRESCRIPTION WEAK-SIGNATURE-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-SIGNATURE-RULE-P) (:DEFINITION WEAK-SIGNATURE-RULE-P) (:TYPE-PRESCRIPTION WEAK-TAU-P) (:EXECUTABLE-COUNTERPART WEAK-TAU-P) (:DEFINITION WEAK-TAU-P) (:TYPE-PRESCRIPTION WEAK-TAU-INTERVAL-P) (:EXECUTABLE-COUNTERPART WEAK-TAU-INTERVAL-P) (:DEFINITION WEAK-TAU-INTERVAL-P) (:TYPE-PRESCRIPTION WEAK-TYPE-SET-INVERTER-RULE-P) (:EXECUTABLE-COUNTERPART WEAK-TYPE-SET-INVERTER-RULE-P) (:DEFINITION WEAK-TYPE-SET-INVERTER-RULE-P) (:TYPE-PRESCRIPTION ONCEP-TP-BUILTIN) (:EXECUTABLE-COUNTERPART ONCEP-TP-BUILTIN) (:DEFINITION ONCEP-TP-BUILTIN) (:TYPE-PRESCRIPTION WEAK-ACCP-ENTRY-P) (:EXECUTABLE-COUNTERPART WEAK-ACCP-ENTRY-P) (:DEFINITION WEAK-ACCP-ENTRY-P) (:TYPE-PRESCRIPTION WEAK-ACCP-INFO-P) (:EXECUTABLE-COUNTERPART WEAK-ACCP-INFO-P) (:DEFINITION WEAK-ACCP-INFO-P) (:TYPE-PRESCRIPTION WEAK-ANCESTOR-P) (:EXECUTABLE-COUNTERPART WEAK-ANCESTOR-P) (:DEFINITION WEAK-ANCESTOR-P) (:TYPE-PRESCRIPTION NIL-FN) (:EXECUTABLE-COUNTERPART NIL-FN) (:DEFINITION NIL-FN) (:TYPE-PRESCRIPTION WEAK-TYPE-PRESCRIPTION-P) (:EXECUTABLE-COUNTERPART WEAK-TYPE-PRESCRIPTION-P) (:DEFINITION WEAK-TYPE-PRESCRIPTION-P) (:TYPE-PRESCRIPTION WEAK-RECOGNIZER-TUPLE-P) (:EXECUTABLE-COUNTERPART WEAK-RECOGNIZER-TUPLE-P) (:DEFINITION WEAK-RECOGNIZER-TUPLE-P) (:TYPE-PRESCRIPTION WEAK-CLAUSE-ID-P) (:EXECUTABLE-COUNTERPART WEAK-CLAUSE-ID-P) (:DEFINITION WEAK-CLAUSE-ID-P) (:TYPE-PRESCRIPTION WEAK-THEORY-INVARIANT-RECORD-P) (:EXECUTABLE-COUNTERPART WEAK-THEORY-INVARIANT-RECORD-P) (:DEFINITION WEAK-THEORY-INVARIANT-RECORD-P) (:TYPE-PRESCRIPTION WEAK-ENABLED-STRUCTURE-P) (:EXECUTABLE-COUNTERPART WEAK-ENABLED-STRUCTURE-P) (:DEFINITION WEAK-ENABLED-STRUCTURE-P) (:TYPE-PRESCRIPTION WEAK-LINEAR-POT-P) (:EXECUTABLE-COUNTERPART WEAK-LINEAR-POT-P) (:DEFINITION WEAK-LINEAR-POT-P) (:TYPE-PRESCRIPTION WEAK-POLY-P) (:EXECUTABLE-COUNTERPART WEAK-POLY-P) (:DEFINITION WEAK-POLY-P) (:TYPE-PRESCRIPTION WEAK-FC-DERIVATION-P) (:EXECUTABLE-COUNTERPART WEAK-FC-DERIVATION-P) (:DEFINITION WEAK-FC-DERIVATION-P) (:TYPE-PRESCRIPTION WEAK-ASSUMPTION-P) (:EXECUTABLE-COUNTERPART WEAK-ASSUMPTION-P) (:DEFINITION WEAK-ASSUMPTION-P) (:TYPE-PRESCRIPTION WEAK-ASSUMNOTE-P) (:EXECUTABLE-COUNTERPART WEAK-ASSUMNOTE-P) (:DEFINITION WEAK-ASSUMNOTE-P) (:TYPE-PRESCRIPTION WEAK-HISTORY-ENTRY-P) (:EXECUTABLE-COUNTERPART WEAK-HISTORY-ENTRY-P) (:DEFINITION WEAK-HISTORY-ENTRY-P) (:TYPE-PRESCRIPTION WEAK-ATTACHMENT-COMPONENT-P) (:EXECUTABLE-COUNTERPART WEAK-ATTACHMENT-COMPONENT-P) (:DEFINITION WEAK-ATTACHMENT-COMPONENT-P) (:TYPE-PRESCRIPTION WEAK-ATTACHMENT-P) (:EXECUTABLE-COUNTERPART WEAK-ATTACHMENT-P) (:DEFINITION WEAK-ATTACHMENT-P) (:INDUCTION AND-LIST) (:TYPE-PRESCRIPTION AND-LIST) (:EXECUTABLE-COUNTERPART AND-LIST) (:DEFINITION AND-LIST) (:INDUCTION OR-LIST) (:TYPE-PRESCRIPTION OR-LIST) (:EXECUTABLE-COUNTERPART OR-LIST) (:DEFINITION OR-LIST) (:TYPE-PRESCRIPTION BINARY-POR) (:EXECUTABLE-COUNTERPART BINARY-POR) (:DEFINITION BINARY-POR) (:TYPE-PRESCRIPTION BINARY-PAND) (:EXECUTABLE-COUNTERPART BINARY-PAND) (:DEFINITION BINARY-PAND) (:TYPE-PRESCRIPTION WEAK-DEF-BODY-P) (:EXECUTABLE-COUNTERPART WEAK-DEF-BODY-P) (:DEFINITION WEAK-DEF-BODY-P) (:TYPE-PRESCRIPTION WEAK-STATE-VARS-P) (:EXECUTABLE-COUNTERPART WEAK-STATE-VARS-P) (:DEFINITION WEAK-STATE-VARS-P) (:TYPE-PRESCRIPTION WEAK-IO-RECORD-P) (:EXECUTABLE-COUNTERPART WEAK-IO-RECORD-P) (:DEFINITION WEAK-IO-RECORD-P) (:TYPE-PRESCRIPTION WORMHOLE-EVAL) (:EXECUTABLE-COUNTERPART WORMHOLE-EVAL) (:DEFINITION WORMHOLE-EVAL) (:TYPE-PRESCRIPTION MAKE-WORMHOLE-STATUS) (:EXECUTABLE-COUNTERPART MAKE-WORMHOLE-STATUS) (:DEFINITION MAKE-WORMHOLE-STATUS) (:TYPE-PRESCRIPTION SET-WORMHOLE-DATA) (:EXECUTABLE-COUNTERPART SET-WORMHOLE-DATA) (:DEFINITION SET-WORMHOLE-DATA) (:TYPE-PRESCRIPTION SET-WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART SET-WORMHOLE-ENTRY-CODE) (:DEFINITION SET-WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-DATA) (:EXECUTABLE-COUNTERPART WORMHOLE-DATA) (:DEFINITION WORMHOLE-DATA) (:TYPE-PRESCRIPTION WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART WORMHOLE-ENTRY-CODE) (:DEFINITION WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-STATUSP) (:EXECUTABLE-COUNTERPART WORMHOLE-STATUSP) (:DEFINITION WORMHOLE-STATUSP) (:TYPE-PRESCRIPTION HONS-COPY) (:DEFINITION HONS-COPY) (:TYPE-PRESCRIPTION FLOOR) (:EXECUTABLE-COUNTERPART FLOOR) (:DEFINITION FLOOR) (:INDUCTION NONNEGATIVE-INTEGER-QUOTIENT) (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT) (:EXECUTABLE-COUNTERPART NONNEGATIVE-INTEGER-QUOTIENT) (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT) (:INDUCTION ACL2-COUNT) (:TYPE-PRESCRIPTION ACL2-COUNT) (:EXECUTABLE-COUNTERPART ACL2-COUNT) (:DEFINITION ACL2-COUNT) (:TYPE-PRESCRIPTION INTEGER-ABS) (:EXECUTABLE-COUNTERPART INTEGER-ABS) (:DEFINITION INTEGER-ABS) (:TYPE-PRESCRIPTION IFIX) (:EXECUTABLE-COUNTERPART IFIX) (:DEFINITION IFIX) (:TYPE-PRESCRIPTION NFIX) (:EXECUTABLE-COUNTERPART NFIX) (:DEFINITION NFIX) (:INDUCTION SUBLIS) (:TYPE-PRESCRIPTION SUBLIS) (:EXECUTABLE-COUNTERPART SUBLIS) (:DEFINITION SUBLIS) (:INDUCTION ASSOC-EQUAL) (:TYPE-PRESCRIPTION ASSOC-EQUAL) (:EXECUTABLE-COUNTERPART ASSOC-EQUAL) (:DEFINITION ASSOC-EQUAL) (:INDUCTION ASSOC-EQL-EXEC) (:TYPE-PRESCRIPTION ASSOC-EQL-EXEC) (:EXECUTABLE-COUNTERPART ASSOC-EQL-EXEC) (:DEFINITION ASSOC-EQL-EXEC) (:INDUCTION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION EQLABLE-ALISTP) (:EXECUTABLE-COUNTERPART EQLABLE-ALISTP) (:DEFINITION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION CHAR) (:EXECUTABLE-COUNTERPART CHAR) (:DEFINITION CHAR) (:INDUCTION NTH) (:TYPE-PRESCRIPTION NTH) (:EXECUTABLE-COUNTERPART NTH) (:DEFINITION NTH) (:INDUCTION SYMBOL-ALISTP) (:TYPE-PRESCRIPTION SYMBOL-ALISTP) (:EXECUTABLE-COUNTERPART SYMBOL-ALISTP) (:DEFINITION SYMBOL-ALISTP) (:INDUCTION ALISTP) (:TYPE-PRESCRIPTION ALISTP) (:EXECUTABLE-COUNTERPART ALISTP) (:DEFINITION ALISTP) (:TYPE-PRESCRIPTION IF*) (:EXECUTABLE-COUNTERPART IF*) (:DEFINITION IF*) (:TYPE-PRESCRIPTION MV-LIST) (:EXECUTABLE-COUNTERPART MV-LIST) (:DEFINITION MV-LIST) (:TYPE-PRESCRIPTION MINUSP) (:EXECUTABLE-COUNTERPART MINUSP) (:DEFINITION MINUSP) (:TYPE-PRESCRIPTION PLUSP) (:EXECUTABLE-COUNTERPART PLUSP) (:DEFINITION PLUSP) (:TYPE-PRESCRIPTION ZEROP) (:EXECUTABLE-COUNTERPART ZEROP) (:DEFINITION ZEROP) (:INDUCTION PSEUDO-TERM-LISTP) (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP) (:EXECUTABLE-COUNTERPART PSEUDO-TERM-LISTP) (:DEFINITION PSEUDO-TERM-LISTP) (:INDUCTION PSEUDO-TERMP) (:TYPE-PRESCRIPTION PSEUDO-TERMP) (:EXECUTABLE-COUNTERPART PSEUDO-TERMP) (:DEFINITION PSEUDO-TERMP) (:TYPE-PRESCRIPTION LISTP) (:EXECUTABLE-COUNTERPART LISTP) (:DEFINITION LISTP) (:INDUCTION O<) (:TYPE-PRESCRIPTION O<) (:EXECUTABLE-COUNTERPART O<) (:DEFINITION O<) (:INDUCTION O<G) (:TYPE-PRESCRIPTION O<G) (:EXECUTABLE-COUNTERPART O<G) (:DEFINITION O<G) (:TYPE-PRESCRIPTION O-RST) (:EXECUTABLE-COUNTERPART O-RST) (:DEFINITION O-RST) (:TYPE-PRESCRIPTION O-FIRST-COEFF) (:EXECUTABLE-COUNTERPART O-FIRST-COEFF) (:DEFINITION O-FIRST-COEFF) (:TYPE-PRESCRIPTION O-FIRST-EXPT) (:EXECUTABLE-COUNTERPART O-FIRST-EXPT) (:DEFINITION O-FIRST-EXPT) (:TYPE-PRESCRIPTION O-FINP) (:EXECUTABLE-COUNTERPART O-FINP) (:DEFINITION O-FINP) (:TYPE-PRESCRIPTION POSP) (:EXECUTABLE-COUNTERPART POSP) (:DEFINITION POSP) (:TYPE-PRESCRIPTION NATP) (:EXECUTABLE-COUNTERPART NATP) (:DEFINITION NATP) (:TYPE-PRESCRIPTION TAU-SYSTEM) (:EXECUTABLE-COUNTERPART TAU-SYSTEM) (:DEFINITION TAU-SYSTEM) (:TYPE-PRESCRIPTION SYNP) (:EXECUTABLE-COUNTERPART SYNP) (:DEFINITION SYNP) (:TYPE-PRESCRIPTION CASE-SPLIT) (:EXECUTABLE-COUNTERPART CASE-SPLIT) (:DEFINITION CASE-SPLIT) (:TYPE-PRESCRIPTION IMMEDIATE-FORCE-MODEP) (:DEFINITION IMMEDIATE-FORCE-MODEP) (:TYPE-PRESCRIPTION FORCE) (:EXECUTABLE-COUNTERPART FORCE) (:DEFINITION FORCE) (:TYPE-PRESCRIPTION ZIP) (:EXECUTABLE-COUNTERPART ZIP) (:TYPE-PRESCRIPTION ZP) (:EXECUTABLE-COUNTERPART ZP) (:TYPE-PRESCRIPTION /=) (:EXECUTABLE-COUNTERPART /=) (:DEFINITION /=) (:TYPE-PRESCRIPTION =) (:EXECUTABLE-COUNTERPART =) (:DEFINITION =) (:TYPE-PRESCRIPTION RETURN-LAST) (:EXECUTABLE-COUNTERPART RETURN-LAST) (:DEFINITION RETURN-LAST) (:INDUCTION SYMBOL-LISTP) (:TYPE-PRESCRIPTION SYMBOL-LISTP) (:EXECUTABLE-COUNTERPART SYMBOL-LISTP) (:DEFINITION SYMBOL-LISTP) (:TYPE-PRESCRIPTION NULL) (:EXECUTABLE-COUNTERPART NULL) (:DEFINITION NULL) (:TYPE-PRESCRIPTION ENDP) (:EXECUTABLE-COUNTERPART ENDP) (:DEFINITION ENDP) (:TYPE-PRESCRIPTION ATOM) (:EXECUTABLE-COUNTERPART ATOM) (:DEFINITION ATOM) (:TYPE-PRESCRIPTION EQL) (:EXECUTABLE-COUNTERPART EQL) (:DEFINITION EQL) (:INDUCTION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLE-LISTP) (:EXECUTABLE-COUNTERPART EQLABLE-LISTP) (:DEFINITION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLEP) (:EXECUTABLE-COUNTERPART EQLABLEP) (:TYPE-PRESCRIPTION LENGTH) (:EXECUTABLE-COUNTERPART LENGTH) (:DEFINITION LENGTH) (:INDUCTION LEN) (:TYPE-PRESCRIPTION LEN) (:EXECUTABLE-COUNTERPART LEN) (:DEFINITION LEN) (:INDUCTION TRUE-LISTP) (:TYPE-PRESCRIPTION TRUE-LISTP) (:EXECUTABLE-COUNTERPART TRUE-LISTP) (:DEFINITION TRUE-LISTP) (:TYPE-PRESCRIPTION REWRITE-EQUIV) (:EXECUTABLE-COUNTERPART REWRITE-EQUIV) (:DEFINITION REWRITE-EQUIV) (:TYPE-PRESCRIPTION NOT) (:EXECUTABLE-COUNTERPART NOT) (:DEFINITION NOT) (:TYPE-PRESCRIPTION IMPLIES) (:EXECUTABLE-COUNTERPART IMPLIES) (:DEFINITION IMPLIES) (:TYPE-PRESCRIPTION EQ) (:EXECUTABLE-COUNTERPART EQ) (:DEFINITION EQ) (:TYPE-PRESCRIPTION INSIST) (:EXECUTABLE-COUNTERPART INSIST) (:DEFINITION INSIST) (:EXECUTABLE-COUNTERPART SYMBOLP) (:DEFINITION SYMBOLP) (:EXECUTABLE-COUNTERPART SYMBOL-PACKAGE-NAME) (:DEFINITION SYMBOL-PACKAGE-NAME) (:EXECUTABLE-COUNTERPART SYMBOL-NAME) (:DEFINITION SYMBOL-NAME) (:EXECUTABLE-COUNTERPART STRINGP) (:DEFINITION STRINGP) (:EXECUTABLE-COUNTERPART REALPART) (:DEFINITION REALPART) (:EXECUTABLE-COUNTERPART RATIONALP) (:DEFINITION RATIONALP) (:EXECUTABLE-COUNTERPART PKG-WITNESS) (:DEFINITION PKG-WITNESS) (:EXECUTABLE-COUNTERPART PKG-IMPORTS) (:DEFINITION PKG-IMPORTS) (:EXECUTABLE-COUNTERPART NUMERATOR) (:DEFINITION NUMERATOR) (:EXECUTABLE-COUNTERPART INTERN-IN-PACKAGE-OF-SYMBOL) (:DEFINITION INTERN-IN-PACKAGE-OF-SYMBOL) (:EXECUTABLE-COUNTERPART INTEGERP) (:DEFINITION INTEGERP) (:EXECUTABLE-COUNTERPART IMAGPART) (:DEFINITION IMAGPART) (:EXECUTABLE-COUNTERPART IF) (:DEFINITION IF) (:EXECUTABLE-COUNTERPART EQUAL) (:DEFINITION EQUAL) (:EXECUTABLE-COUNTERPART DENOMINATOR) (:DEFINITION DENOMINATOR) (:EXECUTABLE-COUNTERPART CONSP) (:DEFINITION CONSP) (:EXECUTABLE-COUNTERPART CONS) (:DEFINITION CONS) (:EXECUTABLE-COUNTERPART COERCE) (:DEFINITION COERCE) (:EXECUTABLE-COUNTERPART COMPLEX-RATIONALP) (:DEFINITION COMPLEX-RATIONALP) (:EXECUTABLE-COUNTERPART COMPLEX) (:DEFINITION COMPLEX) (:EXECUTABLE-COUNTERPART CODE-CHAR) (:DEFINITION CODE-CHAR) (:EXECUTABLE-COUNTERPART CHARACTERP) (:DEFINITION CHARACTERP) (:EXECUTABLE-COUNTERPART CHAR-CODE) (:DEFINITION CHAR-CODE) (:EXECUTABLE-COUNTERPART CDR) (:DEFINITION CDR) (:EXECUTABLE-COUNTERPART CAR) (:DEFINITION CAR) (:EXECUTABLE-COUNTERPART <) (:DEFINITION <) (:EXECUTABLE-COUNTERPART UNARY-/) (:DEFINITION UNARY-/) (:EXECUTABLE-COUNTERPART UNARY--) (:DEFINITION UNARY--) (:EXECUTABLE-COUNTERPART BINARY-+) (:DEFINITION BINARY-+) (:EXECUTABLE-COUNTERPART BINARY-*) (:DEFINITION BINARY-*) (:EXECUTABLE-COUNTERPART BAD-ATOM<=) (:DEFINITION BAD-ATOM<=) (:EXECUTABLE-COUNTERPART ACL2-NUMBERP) (:DEFINITION ACL2-NUMBERP))))) (2 RECORD-EXPANSION (DEFTHEORY-STATIC ARITHMETIC-5-UNIVERSAL-BASE (UNIVERSAL-THEORY :HERE)) (DEFTHEORY ARITHMETIC-5-UNIVERSAL-BASE (QUOTE ((:TYPE-PRESCRIPTION META-EXTRACT-GLOBAL-FACT+) (:EXECUTABLE-COUNTERPART META-EXTRACT-GLOBAL-FACT+) (:DEFINITION META-EXTRACT-GLOBAL-FACT+) (:TYPE-PRESCRIPTION META-EXTRACT-CONTEXTUAL-FACT) (:EXECUTABLE-COUNTERPART META-EXTRACT-CONTEXTUAL-FACT) (:DEFINITION META-EXTRACT-CONTEXTUAL-FACT) (:TYPE-PRESCRIPTION META-EXTRACT-RW+-TERM) (:EXECUTABLE-COUNTERPART META-EXTRACT-RW+-TERM) (:DEFINITION META-EXTRACT-RW+-TERM) (:TYPE-PRESCRIPTION FETCH-DCL-FIELD) (:EXECUTABLE-COUNTERPART FETCH-DCL-FIELD) (:DEFINITION FETCH-DCL-FIELD) (:INDUCTION FETCH-DCL-FIELDS) (:TYPE-PRESCRIPTION FETCH-DCL-FIELDS) (:EXECUTABLE-COUNTERPART FETCH-DCL-FIELDS) (:DEFINITION FETCH-DCL-FIELDS) (:INDUCTION FETCH-DCL-FIELDS1) (:TYPE-PRESCRIPTION FETCH-DCL-FIELDS1) (:EXECUTABLE-COUNTERPART FETCH-DCL-FIELDS1) (:DEFINITION FETCH-DCL-FIELDS1) (:INDUCTION FETCH-DCL-FIELDS2) (:TYPE-PRESCRIPTION FETCH-DCL-FIELDS2) (:EXECUTABLE-COUNTERPART FETCH-DCL-FIELDS2) (:DEFINITION FETCH-DCL-FIELDS2) (:INDUCTION STRIP-DCLS) (:TYPE-PRESCRIPTION STRIP-DCLS) (:EXECUTABLE-COUNTERPART STRIP-DCLS) (:DEFINITION 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(:EXECUTABLE-COUNTERPART SUBSEQ-LIST) (:DEFINITION SUBSEQ-LIST) (:TYPE-PRESCRIPTION EXTEND-T-STACK) (:EXECUTABLE-COUNTERPART EXTEND-T-STACK) (:DEFINITION EXTEND-T-STACK) (:INDUCTION MAKE-LIST-AC) (:TYPE-PRESCRIPTION MAKE-LIST-AC) (:EXECUTABLE-COUNTERPART MAKE-LIST-AC) (:DEFINITION MAKE-LIST-AC) (:TYPE-PRESCRIPTION T-STACK-LENGTH) (:EXECUTABLE-COUNTERPART T-STACK-LENGTH) (:DEFINITION T-STACK-LENGTH) (:TYPE-PRESCRIPTION T-STACK-LENGTH1) (:EXECUTABLE-COUNTERPART T-STACK-LENGTH1) (:DEFINITION T-STACK-LENGTH1) (:TYPE-PRESCRIPTION NEEDS-SLASHES) (:EXECUTABLE-COUNTERPART NEEDS-SLASHES) (:DEFINITION NEEDS-SLASHES) (:TYPE-PRESCRIPTION MAY-NEED-SLASHES-FN) (:EXECUTABLE-COUNTERPART MAY-NEED-SLASHES-FN) (:DEFINITION MAY-NEED-SLASHES-FN) (:INDUCTION MAY-NEED-SLASHES1) (:TYPE-PRESCRIPTION MAY-NEED-SLASHES1) (:EXECUTABLE-COUNTERPART MAY-NEED-SLASHES1) (:DEFINITION MAY-NEED-SLASHES1) (:TYPE-PRESCRIPTION PRIN1-WITH-SLASHES) (:EXECUTABLE-COUNTERPART PRIN1-WITH-SLASHES) (:DEFINITION PRIN1-WITH-SLASHES) (:INDUCTION PRIN1-WITH-SLASHES1) (:TYPE-PRESCRIPTION PRIN1-WITH-SLASHES1) (:EXECUTABLE-COUNTERPART PRIN1-WITH-SLASHES1) (:DEFINITION PRIN1-WITH-SLASHES1) (:INDUCTION SOME-SLASHABLE) (:TYPE-PRESCRIPTION SOME-SLASHABLE) (:EXECUTABLE-COUNTERPART SOME-SLASHABLE) (:DEFINITION SOME-SLASHABLE) (:TYPE-PRESCRIPTION READ-OBJECT-SUPPRESS) (:EXECUTABLE-COUNTERPART READ-OBJECT-SUPPRESS) (:DEFINITION READ-OBJECT-SUPPRESS) (:TYPE-PRESCRIPTION READ-OBJECT) (:EXECUTABLE-COUNTERPART READ-OBJECT) (:DEFINITION READ-OBJECT) (:TYPE-PRESCRIPTION READ-BYTE$) (:EXECUTABLE-COUNTERPART READ-BYTE$) (:DEFINITION READ-BYTE$) (:TYPE-PRESCRIPTION PEEK-CHAR$) (:EXECUTABLE-COUNTERPART PEEK-CHAR$) (:DEFINITION PEEK-CHAR$) (:TYPE-PRESCRIPTION READ-CHAR$) (:EXECUTABLE-COUNTERPART READ-CHAR$) (:DEFINITION READ-CHAR$) (:TYPE-PRESCRIPTION MAYBE-FINISH-OUTPUT$) (:EXECUTABLE-COUNTERPART MAYBE-FINISH-OUTPUT$) (:DEFINITION MAYBE-FINISH-OUTPUT$) (:TYPE-PRESCRIPTION CLOSE-OUTPUT-CHANNEL) (:EXECUTABLE-COUNTERPART CLOSE-OUTPUT-CHANNEL) (:DEFINITION CLOSE-OUTPUT-CHANNEL) (:TYPE-PRESCRIPTION GET-OUTPUT-STREAM-STRING$-FN) (:EXECUTABLE-COUNTERPART GET-OUTPUT-STREAM-STRING$-FN) (:DEFINITION GET-OUTPUT-STREAM-STRING$-FN) (:TYPE-PRESCRIPTION ASSIGN-LOCK) (:EXECUTABLE-COUNTERPART ASSIGN-LOCK) (:DEFINITION ASSIGN-LOCK) (:TYPE-PRESCRIPTION LOCK-SYMBOL-NAME-P) (:EXECUTABLE-COUNTERPART LOCK-SYMBOL-NAME-P) (:DEFINITION LOCK-SYMBOL-NAME-P) (:INDUCTION PAIRLIS2) (:TYPE-PRESCRIPTION PAIRLIS2) (:EXECUTABLE-COUNTERPART PAIRLIS2) (:DEFINITION PAIRLIS2) (:TYPE-PRESCRIPTION FMT-TO-COMMENT-WINDOW!) (:EXECUTABLE-COUNTERPART FMT-TO-COMMENT-WINDOW!) (:DEFINITION FMT-TO-COMMENT-WINDOW!) (:TYPE-PRESCRIPTION FMT-TO-COMMENT-WINDOW) (:EXECUTABLE-COUNTERPART FMT-TO-COMMENT-WINDOW) (:DEFINITION FMT-TO-COMMENT-WINDOW) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL!) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL!) (:DEFINITION OPEN-OUTPUT-CHANNEL!) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL) (:DEFINITION OPEN-OUTPUT-CHANNEL) (:TYPE-PRESCRIPTION CLOSE-INPUT-CHANNEL) (:EXECUTABLE-COUNTERPART CLOSE-INPUT-CHANNEL) (:DEFINITION CLOSE-INPUT-CHANNEL) (:REWRITE NTH-UPDATE-NTH-ARRAY) (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH) (:REWRITE NTH-UPDATE-NTH) (:TYPE-PRESCRIPTION OPEN-INPUT-CHANNEL) (:EXECUTABLE-COUNTERPART OPEN-INPUT-CHANNEL) (:DEFINITION OPEN-INPUT-CHANNEL) (:TYPE-PRESCRIPTION MAKE-OUTPUT-CHANNEL) (:EXECUTABLE-COUNTERPART MAKE-OUTPUT-CHANNEL) (:DEFINITION MAKE-OUTPUT-CHANNEL) (:TYPE-PRESCRIPTION MAKE-INPUT-CHANNEL) (:EXECUTABLE-COUNTERPART MAKE-INPUT-CHANNEL) (:DEFINITION MAKE-INPUT-CHANNEL) (:TYPE-PRESCRIPTION PRINT-OBJECT$) (:EXECUTABLE-COUNTERPART PRINT-OBJECT$) (:DEFINITION PRINT-OBJECT$) (:TYPE-PRESCRIPTION PRINT-OBJECT$-SER) (:EXECUTABLE-COUNTERPART PRINT-OBJECT$-SER) (:DEFINITION PRINT-OBJECT$-SER) (:TYPE-PRESCRIPTION SET-SERIALIZE-CHARACTER) (:EXECUTABLE-COUNTERPART SET-SERIALIZE-CHARACTER) (:DEFINITION SET-SERIALIZE-CHARACTER) (:TYPE-PRESCRIPTION HONS-ENABLEDP) (:EXECUTABLE-COUNTERPART HONS-ENABLEDP) (:DEFINITION HONS-ENABLEDP) (:TYPE-PRESCRIPTION W) (:EXECUTABLE-COUNTERPART W) (:DEFINITION W) (:TYPE-PRESCRIPTION GET-SERIALIZE-CHARACTER) (:EXECUTABLE-COUNTERPART GET-SERIALIZE-CHARACTER) (:DEFINITION GET-SERIALIZE-CHARACTER) (:TYPE-PRESCRIPTION WRITE-BYTE$) (:EXECUTABLE-COUNTERPART WRITE-BYTE$) (:DEFINITION WRITE-BYTE$) (:TYPE-PRESCRIPTION PRINC$) (:EXECUTABLE-COUNTERPART PRINC$) (:DEFINITION PRINC$) (:TYPE-PRESCRIPTION SET-PRINT-RIGHT-MARGIN) (:EXECUTABLE-COUNTERPART SET-PRINT-RIGHT-MARGIN) (:DEFINITION SET-PRINT-RIGHT-MARGIN) (:TYPE-PRESCRIPTION SET-PRINT-LINES) (:EXECUTABLE-COUNTERPART SET-PRINT-LINES) (:DEFINITION SET-PRINT-LINES) (:TYPE-PRESCRIPTION SET-PRINT-LEVEL) (:EXECUTABLE-COUNTERPART SET-PRINT-LEVEL) (:DEFINITION SET-PRINT-LEVEL) (:TYPE-PRESCRIPTION SET-PRINT-LENGTH) (:EXECUTABLE-COUNTERPART SET-PRINT-LENGTH) (:DEFINITION SET-PRINT-LENGTH) (:TYPE-PRESCRIPTION CHECK-NULL-OR-NATP) (:EXECUTABLE-COUNTERPART CHECK-NULL-OR-NATP) (:DEFINITION CHECK-NULL-OR-NATP) (:TYPE-PRESCRIPTION SET-PRINT-READABLY) (:EXECUTABLE-COUNTERPART SET-PRINT-READABLY) (:DEFINITION SET-PRINT-READABLY) (:TYPE-PRESCRIPTION SET-PRINT-RADIX) (:EXECUTABLE-COUNTERPART SET-PRINT-RADIX) (:DEFINITION SET-PRINT-RADIX) (:TYPE-PRESCRIPTION SET-PRINT-PRETTY) (:EXECUTABLE-COUNTERPART SET-PRINT-PRETTY) (:DEFINITION SET-PRINT-PRETTY) (:TYPE-PRESCRIPTION SET-PRINT-ESCAPE) (:EXECUTABLE-COUNTERPART SET-PRINT-ESCAPE) (:DEFINITION SET-PRINT-ESCAPE) (:TYPE-PRESCRIPTION SET-PRINT-CIRCLE) (:EXECUTABLE-COUNTERPART SET-PRINT-CIRCLE) (:DEFINITION SET-PRINT-CIRCLE) (:TYPE-PRESCRIPTION SET-PRINT-BASE) (:EXECUTABLE-COUNTERPART SET-PRINT-BASE) (:DEFINITION SET-PRINT-BASE) (:TYPE-PRESCRIPTION CHECK-PRINT-BASE) (:EXECUTABLE-COUNTERPART CHECK-PRINT-BASE) (:DEFINITION CHECK-PRINT-BASE) (:TYPE-PRESCRIPTION SET-PRINT-CASE) (:EXECUTABLE-COUNTERPART SET-PRINT-CASE) (:DEFINITION SET-PRINT-CASE) (:TYPE-PRESCRIPTION OPEN-INPUT-CHANNEL-ANY-P) (:EXECUTABLE-COUNTERPART OPEN-INPUT-CHANNEL-ANY-P) (:DEFINITION OPEN-INPUT-CHANNEL-ANY-P) (:TYPE-PRESCRIPTION OPEN-INPUT-CHANNEL-ANY-P1) (:EXECUTABLE-COUNTERPART OPEN-INPUT-CHANNEL-ANY-P1) (:DEFINITION OPEN-INPUT-CHANNEL-ANY-P1) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL-ANY-P) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL-ANY-P) (:DEFINITION OPEN-OUTPUT-CHANNEL-ANY-P) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL-ANY-P1) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL-ANY-P1) (:DEFINITION OPEN-OUTPUT-CHANNEL-ANY-P1) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL-P) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL-P) (:DEFINITION OPEN-OUTPUT-CHANNEL-P) (:TYPE-PRESCRIPTION OPEN-INPUT-CHANNEL-P) (:EXECUTABLE-COUNTERPART OPEN-INPUT-CHANNEL-P) (:DEFINITION OPEN-INPUT-CHANNEL-P) (:TYPE-PRESCRIPTION OPEN-OUTPUT-CHANNEL-P1) (:EXECUTABLE-COUNTERPART OPEN-OUTPUT-CHANNEL-P1) (:DEFINITION OPEN-OUTPUT-CHANNEL-P1) (:TYPE-PRESCRIPTION OPEN-INPUT-CHANNEL-P1) (:EXECUTABLE-COUNTERPART OPEN-INPUT-CHANNEL-P1) (:DEFINITION OPEN-INPUT-CHANNEL-P1) (:FORWARD-CHAINING TRUE-LISTP-CADR-ASSOC-EQ-FOR-OPEN-CHANNELS-P) (:FORWARD-CHAINING TRUE-LIST-LISTP-FORWARD-TO-TRUE-LISTP-ASSOC-EQUAL) (:TYPE-PRESCRIPTION TRUE-LIST-LISTP-FORWARD-TO-TRUE-LISTP-ASSOC-EQUAL) (:INDUCTION EXPLODE-ATOM+) (:TYPE-PRESCRIPTION EXPLODE-ATOM+) (:EXECUTABLE-COUNTERPART EXPLODE-ATOM+) (:DEFINITION EXPLODE-ATOM+) (:INDUCTION EXPLODE-ATOM) (:TYPE-PRESCRIPTION EXPLODE-ATOM) (:EXECUTABLE-COUNTERPART EXPLODE-ATOM) (:DEFINITION EXPLODE-ATOM) (:TYPE-PRESCRIPTION TRUE-LISTP-EXPLODE-NONNEGATIVE-INTEGER) (:INDUCTION EXPLODE-NONNEGATIVE-INTEGER) (:TYPE-PRESCRIPTION EXPLODE-NONNEGATIVE-INTEGER) (:EXECUTABLE-COUNTERPART EXPLODE-NONNEGATIVE-INTEGER) (:DEFINITION EXPLODE-NONNEGATIVE-INTEGER) (:TYPE-PRESCRIPTION PRINT-BASE-P) (:EXECUTABLE-COUNTERPART PRINT-BASE-P) (:DEFINITION PRINT-BASE-P) (:TYPE-PRESCRIPTION DIGIT-TO-CHAR) (:EXECUTABLE-COUNTERPART DIGIT-TO-CHAR) (:DEFINITION DIGIT-TO-CHAR) (:INDUCTION ALIST-DIFFERENCE-EQ) (:TYPE-PRESCRIPTION ALIST-DIFFERENCE-EQ) (:EXECUTABLE-COUNTERPART ALIST-DIFFERENCE-EQ) (:DEFINITION ALIST-DIFFERENCE-EQ) (:INDUCTION SET-FORMS-FROM-BINDINGS) (:TYPE-PRESCRIPTION SET-FORMS-FROM-BINDINGS) (:EXECUTABLE-COUNTERPART SET-FORMS-FROM-BINDINGS) (:DEFINITION SET-FORMS-FROM-BINDINGS) (:TYPE-PRESCRIPTION BOOLE$) (:EXECUTABLE-COUNTERPART BOOLE$) (:DEFINITION BOOLE$) (:TYPE-PRESCRIPTION LOGTEST) (:EXECUTABLE-COUNTERPART LOGTEST) (:DEFINITION LOGTEST) (:TYPE-PRESCRIPTION LOGNOR) (:EXECUTABLE-COUNTERPART LOGNOR) (:DEFINITION LOGNOR) (:TYPE-PRESCRIPTION BINARY-LOGXOR) (:EXECUTABLE-COUNTERPART BINARY-LOGXOR) (:DEFINITION BINARY-LOGXOR) (:TYPE-PRESCRIPTION BINARY-LOGEQV) (:EXECUTABLE-COUNTERPART BINARY-LOGEQV) (:DEFINITION BINARY-LOGEQV) (:TYPE-PRESCRIPTION LOGANDC2) (:EXECUTABLE-COUNTERPART LOGANDC2) (:DEFINITION LOGANDC2) (:TYPE-PRESCRIPTION LOGANDC1) (:EXECUTABLE-COUNTERPART LOGANDC1) (:DEFINITION LOGANDC1) (:TYPE-PRESCRIPTION LOGORC2) (:EXECUTABLE-COUNTERPART LOGORC2) (:DEFINITION LOGORC2) (:TYPE-PRESCRIPTION LOGORC1) (:EXECUTABLE-COUNTERPART LOGORC1) (:DEFINITION LOGORC1) (:TYPE-PRESCRIPTION BINARY-LOGIOR) (:EXECUTABLE-COUNTERPART BINARY-LOGIOR) (:DEFINITION BINARY-LOGIOR) (:TYPE-PRESCRIPTION LOGNAND) (:EXECUTABLE-COUNTERPART LOGNAND) (:DEFINITION LOGNAND) (:INDUCTION BINARY-LOGAND) (:TYPE-PRESCRIPTION BINARY-LOGAND) (:EXECUTABLE-COUNTERPART BINARY-LOGAND) (:DEFINITION BINARY-LOGAND) (:INDUCTION INTEGER-LENGTH) (:TYPE-PRESCRIPTION INTEGER-LENGTH) (:EXECUTABLE-COUNTERPART INTEGER-LENGTH) (:DEFINITION INTEGER-LENGTH) (:REWRITE ORDERED-SYMBOL-ALISTP-GETPROPS) (:REWRITE ORDERED-SYMBOL-ALISTP-ADD-PAIR) (:REWRITE SYMBOL-<-IRREFLEXIVE) (:REWRITE ORDERED-SYMBOL-ALISTP-DELETE-ASSOC-EQ) (:REWRITE SYMBOL-<-TRICHOTOMY) (:REWRITE STRING<-L-TRICHOTOMY) (:REWRITE SYMBOL-<-TRANSITIVE) (:REWRITE STRING<-L-TRANSITIVE) (:REWRITE SYMBOL-<-ASYMMETRIC) (:REWRITE STRING<-L-ASYMMETRIC) (:TYPE-PRESCRIPTION ZPF) (:EXECUTABLE-COUNTERPART ZPF) (:DEFINITION ZPF) (:FORWARD-CHAINING UNSIGNED-BYTE-P-FORWARD-TO-NONNEGATIVE-INTEGERP) (:FORWARD-CHAINING SIGNED-BYTE-P-FORWARD-TO-INTEGERP) (:FORWARD-CHAINING INTEGER-RANGE-P-FORWARD) (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P) (:EXECUTABLE-COUNTERPART UNSIGNED-BYTE-P) (:DEFINITION UNSIGNED-BYTE-P) (:TYPE-PRESCRIPTION SIGNED-BYTE-P) (:EXECUTABLE-COUNTERPART SIGNED-BYTE-P) (:DEFINITION SIGNED-BYTE-P) (:TYPE-PRESCRIPTION INTEGER-RANGE-P) (:EXECUTABLE-COUNTERPART INTEGER-RANGE-P) (:DEFINITION INTEGER-RANGE-P) (:INDUCTION STATE-GLOBAL-LET*-CLEANUP) (:TYPE-PRESCRIPTION STATE-GLOBAL-LET*-CLEANUP) (:EXECUTABLE-COUNTERPART STATE-GLOBAL-LET*-CLEANUP) (:DEFINITION STATE-GLOBAL-LET*-CLEANUP) (:INDUCTION STATE-GLOBAL-LET*-PUT-GLOBALS) (:TYPE-PRESCRIPTION STATE-GLOBAL-LET*-PUT-GLOBALS) (:EXECUTABLE-COUNTERPART STATE-GLOBAL-LET*-PUT-GLOBALS) (:DEFINITION STATE-GLOBAL-LET*-PUT-GLOBALS) (:INDUCTION STATE-GLOBAL-LET*-GET-GLOBALS) (:TYPE-PRESCRIPTION STATE-GLOBAL-LET*-GET-GLOBALS) (:EXECUTABLE-COUNTERPART STATE-GLOBAL-LET*-GET-GLOBALS) (:DEFINITION STATE-GLOBAL-LET*-GET-GLOBALS) (:INDUCTION STATE-GLOBAL-LET*-BINDINGS-P) (:TYPE-PRESCRIPTION STATE-GLOBAL-LET*-BINDINGS-P) (:EXECUTABLE-COUNTERPART STATE-GLOBAL-LET*-BINDINGS-P) (:DEFINITION STATE-GLOBAL-LET*-BINDINGS-P) (:TYPE-PRESCRIPTION ALWAYS-BOUNDP-GLOBAL) (:EXECUTABLE-COUNTERPART ALWAYS-BOUNDP-GLOBAL) (:DEFINITION ALWAYS-BOUNDP-GLOBAL) (:TYPE-PRESCRIPTION PUT-GLOBAL) (:EXECUTABLE-COUNTERPART PUT-GLOBAL) (:DEFINITION PUT-GLOBAL) (:TYPE-PRESCRIPTION GET-GLOBAL) (:EXECUTABLE-COUNTERPART GET-GLOBAL) (:DEFINITION GET-GLOBAL) (:TYPE-PRESCRIPTION MAKUNBOUND-GLOBAL) (:EXECUTABLE-COUNTERPART MAKUNBOUND-GLOBAL) (:DEFINITION MAKUNBOUND-GLOBAL) (:TYPE-PRESCRIPTION BOUNDP-GLOBAL) (:EXECUTABLE-COUNTERPART BOUNDP-GLOBAL) (:DEFINITION BOUNDP-GLOBAL) (:TYPE-PRESCRIPTION BOUNDP-GLOBAL1) (:EXECUTABLE-COUNTERPART BOUNDP-GLOBAL1) (:DEFINITION BOUNDP-GLOBAL1) (:TYPE-PRESCRIPTION GLOBAL-TABLE-CARS) (:EXECUTABLE-COUNTERPART 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(:TYPE-PRESCRIPTION WEAK-LINEAR-POT-P) (:EXECUTABLE-COUNTERPART WEAK-LINEAR-POT-P) (:DEFINITION WEAK-LINEAR-POT-P) (:TYPE-PRESCRIPTION WEAK-POLY-P) (:EXECUTABLE-COUNTERPART WEAK-POLY-P) (:DEFINITION WEAK-POLY-P) (:TYPE-PRESCRIPTION WEAK-FC-DERIVATION-P) (:EXECUTABLE-COUNTERPART WEAK-FC-DERIVATION-P) (:DEFINITION WEAK-FC-DERIVATION-P) (:TYPE-PRESCRIPTION WEAK-ASSUMPTION-P) (:EXECUTABLE-COUNTERPART WEAK-ASSUMPTION-P) (:DEFINITION WEAK-ASSUMPTION-P) (:TYPE-PRESCRIPTION WEAK-ASSUMNOTE-P) (:EXECUTABLE-COUNTERPART WEAK-ASSUMNOTE-P) (:DEFINITION WEAK-ASSUMNOTE-P) (:TYPE-PRESCRIPTION WEAK-HISTORY-ENTRY-P) (:EXECUTABLE-COUNTERPART WEAK-HISTORY-ENTRY-P) (:DEFINITION WEAK-HISTORY-ENTRY-P) (:TYPE-PRESCRIPTION WEAK-ATTACHMENT-COMPONENT-P) (:EXECUTABLE-COUNTERPART WEAK-ATTACHMENT-COMPONENT-P) (:DEFINITION WEAK-ATTACHMENT-COMPONENT-P) (:TYPE-PRESCRIPTION WEAK-ATTACHMENT-P) (:EXECUTABLE-COUNTERPART WEAK-ATTACHMENT-P) (:DEFINITION WEAK-ATTACHMENT-P) (:INDUCTION AND-LIST) (:TYPE-PRESCRIPTION AND-LIST) 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(:DEFINITION SET-WORMHOLE-DATA) (:TYPE-PRESCRIPTION SET-WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART SET-WORMHOLE-ENTRY-CODE) (:DEFINITION SET-WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-DATA) (:EXECUTABLE-COUNTERPART WORMHOLE-DATA) (:DEFINITION WORMHOLE-DATA) (:TYPE-PRESCRIPTION WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART WORMHOLE-ENTRY-CODE) (:DEFINITION WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-STATUSP) (:EXECUTABLE-COUNTERPART WORMHOLE-STATUSP) (:DEFINITION WORMHOLE-STATUSP) (:TYPE-PRESCRIPTION HONS-COPY) (:EXECUTABLE-COUNTERPART HONS-COPY) (:DEFINITION HONS-COPY) (:TYPE-PRESCRIPTION FLOOR) (:EXECUTABLE-COUNTERPART FLOOR) (:DEFINITION FLOOR) (:INDUCTION NONNEGATIVE-INTEGER-QUOTIENT) (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT) (:EXECUTABLE-COUNTERPART NONNEGATIVE-INTEGER-QUOTIENT) (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT) (:INDUCTION ACL2-COUNT) (:TYPE-PRESCRIPTION ACL2-COUNT) (:EXECUTABLE-COUNTERPART ACL2-COUNT) (:DEFINITION ACL2-COUNT) (:TYPE-PRESCRIPTION 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(:DEFINITION SYMBOL-ALISTP) (:INDUCTION ALISTP) (:TYPE-PRESCRIPTION ALISTP) (:EXECUTABLE-COUNTERPART ALISTP) (:DEFINITION ALISTP) (:TYPE-PRESCRIPTION IF*) (:EXECUTABLE-COUNTERPART IF*) (:DEFINITION IF*) (:TYPE-PRESCRIPTION MV-LIST) (:EXECUTABLE-COUNTERPART MV-LIST) (:DEFINITION MV-LIST) (:TYPE-PRESCRIPTION MINUSP) (:EXECUTABLE-COUNTERPART MINUSP) (:DEFINITION MINUSP) (:TYPE-PRESCRIPTION PLUSP) (:EXECUTABLE-COUNTERPART PLUSP) (:DEFINITION PLUSP) (:TYPE-PRESCRIPTION ZEROP) (:EXECUTABLE-COUNTERPART ZEROP) (:DEFINITION ZEROP) (:INDUCTION PSEUDO-TERM-LISTP) (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP) (:EXECUTABLE-COUNTERPART PSEUDO-TERM-LISTP) (:DEFINITION PSEUDO-TERM-LISTP) (:INDUCTION PSEUDO-TERMP) (:TYPE-PRESCRIPTION PSEUDO-TERMP) (:EXECUTABLE-COUNTERPART PSEUDO-TERMP) (:DEFINITION PSEUDO-TERMP) (:TYPE-PRESCRIPTION LISTP) (:EXECUTABLE-COUNTERPART LISTP) (:DEFINITION LISTP) (:INDUCTION O<) (:TYPE-PRESCRIPTION O<) (:EXECUTABLE-COUNTERPART O<) (:DEFINITION O<) (:INDUCTION O<G) 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(:TYPE-PRESCRIPTION EQLABLEP) (:EXECUTABLE-COUNTERPART EQLABLEP) (:DEFINITION EQLABLEP) (:TYPE-PRESCRIPTION LENGTH) (:EXECUTABLE-COUNTERPART LENGTH) (:DEFINITION LENGTH) (:INDUCTION LEN) (:TYPE-PRESCRIPTION LEN) (:EXECUTABLE-COUNTERPART LEN) (:DEFINITION LEN) (:INDUCTION TRUE-LISTP) (:TYPE-PRESCRIPTION TRUE-LISTP) (:EXECUTABLE-COUNTERPART TRUE-LISTP) (:DEFINITION TRUE-LISTP) (:TYPE-PRESCRIPTION REWRITE-EQUIV) (:EXECUTABLE-COUNTERPART REWRITE-EQUIV) (:DEFINITION REWRITE-EQUIV) (:TYPE-PRESCRIPTION NOT) (:EXECUTABLE-COUNTERPART NOT) (:DEFINITION NOT) (:TYPE-PRESCRIPTION IMPLIES) (:EXECUTABLE-COUNTERPART IMPLIES) (:DEFINITION IMPLIES) (:TYPE-PRESCRIPTION EQ) (:EXECUTABLE-COUNTERPART EQ) (:DEFINITION EQ) (:TYPE-PRESCRIPTION INSIST) (:EXECUTABLE-COUNTERPART INSIST) (:DEFINITION INSIST) (:EXECUTABLE-COUNTERPART SYMBOLP) (:DEFINITION SYMBOLP) (:EXECUTABLE-COUNTERPART SYMBOL-PACKAGE-NAME) (:DEFINITION SYMBOL-PACKAGE-NAME) (:EXECUTABLE-COUNTERPART SYMBOL-NAME) (:DEFINITION SYMBOL-NAME) (:EXECUTABLE-COUNTERPART STRINGP) (:DEFINITION STRINGP) (:EXECUTABLE-COUNTERPART REALPART) (:DEFINITION REALPART) (:EXECUTABLE-COUNTERPART RATIONALP) (:DEFINITION RATIONALP) (:EXECUTABLE-COUNTERPART PKG-WITNESS) (:DEFINITION PKG-WITNESS) (:EXECUTABLE-COUNTERPART PKG-IMPORTS) (:DEFINITION PKG-IMPORTS) (:EXECUTABLE-COUNTERPART NUMERATOR) (:DEFINITION NUMERATOR) (:EXECUTABLE-COUNTERPART INTERN-IN-PACKAGE-OF-SYMBOL) (:DEFINITION INTERN-IN-PACKAGE-OF-SYMBOL) (:EXECUTABLE-COUNTERPART INTEGERP) (:DEFINITION INTEGERP) (:EXECUTABLE-COUNTERPART IMAGPART) (:DEFINITION IMAGPART) (:EXECUTABLE-COUNTERPART IF) (:DEFINITION IF) (:EXECUTABLE-COUNTERPART EQUAL) (:DEFINITION EQUAL) (:EXECUTABLE-COUNTERPART DENOMINATOR) (:DEFINITION DENOMINATOR) (:EXECUTABLE-COUNTERPART CONSP) (:DEFINITION CONSP) (:EXECUTABLE-COUNTERPART CONS) (:DEFINITION CONS) (:EXECUTABLE-COUNTERPART COERCE) (:DEFINITION COERCE) (:EXECUTABLE-COUNTERPART COMPLEX-RATIONALP) (:DEFINITION COMPLEX-RATIONALP) (:EXECUTABLE-COUNTERPART COMPLEX) (:DEFINITION COMPLEX) (:EXECUTABLE-COUNTERPART CODE-CHAR) (:DEFINITION CODE-CHAR) (:EXECUTABLE-COUNTERPART CHARACTERP) (:DEFINITION CHARACTERP) (:EXECUTABLE-COUNTERPART CHAR-CODE) (:DEFINITION CHAR-CODE) (:EXECUTABLE-COUNTERPART CDR) (:DEFINITION CDR) (:EXECUTABLE-COUNTERPART CAR) (:DEFINITION CAR) (:EXECUTABLE-COUNTERPART <) (:DEFINITION <) (:EXECUTABLE-COUNTERPART UNARY-/) (:DEFINITION UNARY-/) (:EXECUTABLE-COUNTERPART UNARY--) (:DEFINITION UNARY--) (:EXECUTABLE-COUNTERPART BINARY-+) (:DEFINITION BINARY-+) (:EXECUTABLE-COUNTERPART BINARY-*) (:DEFINITION BINARY-*) (:EXECUTABLE-COUNTERPART BAD-ATOM<=) (:DEFINITION BAD-ATOM<=) (:EXECUTABLE-COUNTERPART ACL2-NUMBERP) (:DEFINITION ACL2-NUMBERP))))) (5 RECORD-EXPANSION (DEFTHEORY-STATIC ARITHMETIC-5-CURRENT-FULL (CURRENT-THEORY :HERE)) (DEFTHEORY ARITHMETIC-5-CURRENT-FULL (QUOTE ((:REWRITE THE-FLOOR-BELOW) (:REWRITE THE-FLOOR-ABOVE) (:REWRITE |(equal (mod a n) (mod b n))|) (:REWRITE MOD-SUMS-CANCEL-1) (:REWRITE MOD-MULT) (:REWRITE 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(:TYPE-PRESCRIPTION UGLY-UNHIDE-HACK) (:EXECUTABLE-COUNTERPART UGLY-UNHIDE-HACK) (:REWRITE |(* 2 (floor x y))| . 3) (:REWRITE |(* 2 (floor x y))| . 2) (:REWRITE |(* 2 (floor x y))| . 1) (:REWRITE DEFAULT-LOGNOT) (:REWRITE DEFAULT-LOGXOR-2) (:REWRITE DEFAULT-LOGXOR-1) (:REWRITE DEFAULT-LOGIOR-2) (:REWRITE DEFAULT-LOGIOR-1) (:REWRITE DEFAULT-LOGAND-2) (:REWRITE DEFAULT-LOGAND-1) (:REWRITE DEFAULT-MOD-2) (:REWRITE DEFAULT-MOD-1) (:REWRITE DEFAULT-MOD-RATIO) (:REWRITE DEFAULT-FLOOR-2) (:REWRITE DEFAULT-FLOOR-1) (:REWRITE DEFAULT-FLOOR-RATIO) (:REWRITE |(lognot (if a b c))|) (:REWRITE |(logand y (if a b c))|) (:REWRITE |(logand (if a b c) x)|) (:REWRITE |(mod y (if a b c))|) (:REWRITE |(mod (if a b c) x)|) (:REWRITE |(floor y (if a b c))|) (:REWRITE |(floor (if a b c) x)|) (:REWRITE |(mod x 1)|) (:REWRITE |(floor x 1)|) (:REWRITE |(mod 0 y)|) (:REWRITE |(mod x 0)|) (:REWRITE |(floor 0 y)|) (:REWRITE |(floor x 0)|) (:GENERALIZE |(mod (* 2 x) 1)|) (:REWRITE |(mod (* 2 x) 1)| . 3) (:REWRITE |(mod (* 2 x) 1)| . 2) (:REWRITE |(mod (* 2 x) 1)| . 1) (:GENERALIZE |(floor (* 2 x) 1)|) (:REWRITE |(floor (* 2 x) 1)| . 3) (:REWRITE |(floor (* 2 x) 1)| . 2) (:REWRITE |(floor (* 2 x) 1)| . 1) (:GENERALIZE |(mod x 2)|) (:REWRITE |(mod x 2)| . 2) (:REWRITE |(mod x 2)| . 1) (:GENERALIZE |(floor x 2)|) (:REWRITE |(floor x 2)| . 2) (:REWRITE |(floor x 2)| . 1) (:REWRITE MOD-X-Y-=-X-Y . 3) (:REWRITE MOD-X-Y-=-X-Y . 2) (:REWRITE MOD-X-Y-=-X-Y . 1) (:REWRITE MOD-X-Y-=-X+Y . 3) (:REWRITE MOD-X-Y-=-X+Y . 2) (:REWRITE MOD-X-Y-=-X+Y . 1) (:TYPE-PRESCRIPTION MOD-ZERO-2) (:REWRITE MOD-ZERO-2) (:TYPE-PRESCRIPTION MOD-ZERO . 4) (:TYPE-PRESCRIPTION MOD-ZERO . 3) (:TYPE-PRESCRIPTION MOD-ZERO . 2) (:TYPE-PRESCRIPTION MOD-ZERO . 1) (:REWRITE MOD-ZERO . 4) (:REWRITE MOD-ZERO . 3) (:REWRITE MOD-ZERO . 2) (:REWRITE MOD-ZERO . 1) (:REWRITE MOD-X-Y-=-X . 4) (:REWRITE MOD-X-Y-=-X . 3) (:REWRITE MOD-X-Y-=-X . 2) (:REWRITE MOD-X-Y-=-X . 1) (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2) (:TYPE-PRESCRIPTION MOD-NEGATIVE 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0)|) (:REWRITE |(equal (lognot x) -1)|) (:REWRITE |(equal (lognot x) (lognot y))|) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 5) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 4) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 3) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 2) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 1) (:REWRITE |(mod (logxor x y) 2)| . 5) (:REWRITE |(mod (logxor x y) 2)| . 4) (:REWRITE |(mod (logxor x y) 2)| . 3) (:REWRITE |(mod (logxor x y) 2)| . 2) (:REWRITE |(mod (logxor x y) 2)| . 1) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 9) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 8) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 7) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 6) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 5) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 4) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 3) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 2) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 1) (:REWRITE LOGXOR-X-X) (:REWRITE LOGXOR--1-X) (:REWRITE LOGXOR-1-X) (:REWRITE LOGXOR-0-X) (:REWRITE |(logxor y x)|) (:REWRITE |(integerp (* 1/2 (logior x y)))|) (:REWRITE MOD-LOGIOR-EXPT-2-N) (:REWRITE |(mod (logior x y) 2)| . 4) (:REWRITE |(mod (logior x y) 2)| . 3) (:REWRITE |(mod (logior x y) 2)| . 2) (:REWRITE |(mod (logior x y) 2)| . 1) (:REWRITE LOGIOR-FLOOR-EXPT-2-N) (:REWRITE |(logior (floor x 2) (floor y 2))| . 9) (:REWRITE |(logior (floor x 2) (floor y 2))| . 8) (:REWRITE |(logior (floor x 2) (floor y 2))| . 7) (:REWRITE |(logior (floor x 2) (floor y 2))| . 6) (:REWRITE |(logior (floor x 2) (floor y 2))| . 5) (:REWRITE |(logior (floor x 2) (floor y 2))| . 4) (:REWRITE |(logior (floor x 2) (floor y 2))| . 3) (:REWRITE |(logior (floor x 2) (floor y 2))| . 2) (:REWRITE |(logior (floor x 2) (floor y 2))| . 1) (:REWRITE |(logior (* 2 x) (* 2 y))| . 5) (:REWRITE |(logior (* 2 x) (* 2 y))| . 4) (:REWRITE |(logior (* 2 x) (* 2 y))| . 3) (:REWRITE |(logior (* 2 x) (* 2 y))| . 2) (:REWRITE |(logior (* 2 x) (* 2 y))| . 1) (:TYPE-PRESCRIPTION |(< 0 (logior x y))| . 2) (:TYPE-PRESCRIPTION |(< 0 (logior x y))| . 1) (:REWRITE |(< 0 (logior x y))|) (:TYPE-PRESCRIPTION |(< (logior x y) 0)| . 2) (:TYPE-PRESCRIPTION |(< (logior x y) 0)| . 1) (:REWRITE |(< (logior x y) 0)|) (:REWRITE |(equal (logior x y) 0)|) (:LINEAR LOGIOR-BOUNDS-NEG . 2) (:REWRITE LOGIOR-BOUNDS-NEG . 2) (:LINEAR LOGIOR-BOUNDS-NEG . 1) (:REWRITE LOGIOR-BOUNDS-NEG . 1) (:LINEAR LOGIOR-BOUNDS-POS . 2) (:REWRITE LOGIOR-BOUNDS-POS . 2) (:LINEAR LOGIOR-BOUNDS-POS . 1) (:REWRITE LOGIOR-BOUNDS-POS . 1) (:REWRITE LOGIOR-X-X) (:REWRITE LOGIOR--1-X) (:REWRITE |(logior 1 x)|) (:REWRITE LOGIOR-0-X) (:REWRITE |(logior c d x)|) (:REWRITE |(logior y x z)|) (:REWRITE |(logior (logior x y) z)|) (:REWRITE |(logior y x)|) (:REWRITE LOGAND-MASK-SHIFTED) (:REWRITE LOGAND-CONSTANT-MASK) (:TYPE-PRESCRIPTION L-C-M-FN) (:EXECUTABLE-COUNTERPART L-C-M-FN) (:DEFINITION L-C-M-FN) (:REWRITE LOGAND-MASK) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 4) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 3) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 2) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 1) (:REWRITE MOD-LOGAND) (:REWRITE |(mod (logand x y) 2)| . 4) (:REWRITE |(mod (logand x y) 2)| . 3) (:REWRITE |(mod (logand x y) 2)| . 2) (:REWRITE |(mod (logand x y) 2)| . 1) (:REWRITE LOGAND-FLOOR-EXPT-2-N) (:REWRITE |(logand (floor x 2) (floor y 2))| . 9) (:REWRITE |(logand (floor x 2) (floor y 2))| . 8) (:REWRITE |(logand (floor x 2) (floor y 2))| . 7) (:REWRITE |(logand (floor x 2) (floor y 2))| . 6) (:REWRITE |(logand (floor x 2) (floor y 2))| . 5) (:REWRITE |(logand (floor x 2) (floor y 2))| . 4) (:REWRITE |(logand (floor x 2) (floor y 2))| . 3) (:REWRITE |(logand (floor x 2) (floor y 2))| . 2) (:REWRITE |(logand (floor x 2) (floor y 2))| . 1) (:REWRITE |(logand (* 2 x) (* 2 y))| . 5) (:REWRITE |(logand (* 2 x) (* 2 y))| . 4) (:REWRITE |(logand (* 2 x) (* 2 y))| . 3) (:REWRITE |(logand (* 2 x) (* 2 y))| . 2) (:REWRITE |(logand (* 2 x) (* 2 y))| . 1) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1) (:REWRITE |(< (logand x y) 0)|) (:REWRITE |(equal (logand x y) -1)|) (:LINEAR LOGAND-BOUNDS-NEG . 2) (:REWRITE LOGAND-BOUNDS-NEG . 2) (:LINEAR LOGAND-BOUNDS-NEG . 1) (:REWRITE LOGAND-BOUNDS-NEG . 1) (:LINEAR LOGAND-BOUNDS-POS . 2) (:REWRITE LOGAND-BOUNDS-POS . 2) (:LINEAR LOGAND-BOUNDS-POS . 1) (:REWRITE LOGAND-BOUNDS-POS . 1) (:REWRITE LOGAND-X-X) (:REWRITE LOGAND--1-X) (:REWRITE |(logand 1 x)|) (:REWRITE LOGAND-0-X) (:REWRITE |(logand c d x)|) (:REWRITE |(logand y x z)|) (:REWRITE |(logand (logand x y) z)|) (:REWRITE |(logand y x)|) (:REWRITE DEFAULT-EXPT-2) (:REWRITE DEFAULT-EXPT-1) (:REWRITE DEFAULT-LESS-THAN-2) (:REWRITE DEFAULT-LESS-THAN-1) (:REWRITE DEFAULT-RATIONAL-NUMERATOR) (:REWRITE DEFAULT-RATIONAL-DENOMINATOR) (:REWRITE DEFAULT-DIVIDE) (:REWRITE DEFAULT-TIMES-2) (:REWRITE DEFAULT-TIMES-1) (:REWRITE DEFAULT-MINUS) (:REWRITE 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(:EXECUTABLE-COUNTERPART FIND-CONSTANT-ADDEND) (:DEFINITION FIND-CONSTANT-ADDEND) (:REWRITE |(< y (+ (- c) x))|) (:REWRITE |(< (+ (- c) x) y)|) (:REWRITE |(equal (+ (- c) x) y)|) (:REWRITE |(<= (* (/ x) y) -1) with (< x 0)|) (:REWRITE |(< (* (/ x) y) -1) with (< x 0)|) (:REWRITE |(<= (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(< (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(<= (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(< (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(<= (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(< (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(< -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(< -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(<= -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(< -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(<= -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(< -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(<= (* (/ x) y) 1) with (< x 0)|) (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|) 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WORMHOLE-STATUSP) (:TYPE-PRESCRIPTION HONS-COPY) (:DEFINITION HONS-COPY) (:TYPE-PRESCRIPTION FLOOR) (:EXECUTABLE-COUNTERPART FLOOR) (:INDUCTION NONNEGATIVE-INTEGER-QUOTIENT) (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT) (:EXECUTABLE-COUNTERPART NONNEGATIVE-INTEGER-QUOTIENT) (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT) (:INDUCTION ACL2-COUNT) (:TYPE-PRESCRIPTION ACL2-COUNT) (:EXECUTABLE-COUNTERPART ACL2-COUNT) (:DEFINITION ACL2-COUNT) (:TYPE-PRESCRIPTION INTEGER-ABS) (:EXECUTABLE-COUNTERPART INTEGER-ABS) (:DEFINITION INTEGER-ABS) (:TYPE-PRESCRIPTION IFIX) (:EXECUTABLE-COUNTERPART IFIX) (:DEFINITION IFIX) (:TYPE-PRESCRIPTION NFIX) (:EXECUTABLE-COUNTERPART NFIX) (:DEFINITION NFIX) (:INDUCTION SUBLIS) (:TYPE-PRESCRIPTION SUBLIS) (:EXECUTABLE-COUNTERPART SUBLIS) (:DEFINITION SUBLIS) (:INDUCTION ASSOC-EQUAL) (:TYPE-PRESCRIPTION ASSOC-EQUAL) (:EXECUTABLE-COUNTERPART ASSOC-EQUAL) (:DEFINITION ASSOC-EQUAL) (:INDUCTION ASSOC-EQL-EXEC) (:TYPE-PRESCRIPTION ASSOC-EQL-EXEC) (:EXECUTABLE-COUNTERPART ASSOC-EQL-EXEC) (:DEFINITION ASSOC-EQL-EXEC) (:INDUCTION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION EQLABLE-ALISTP) (:EXECUTABLE-COUNTERPART EQLABLE-ALISTP) (:DEFINITION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION CHAR) (:EXECUTABLE-COUNTERPART CHAR) (:DEFINITION CHAR) (:INDUCTION NTH) (:TYPE-PRESCRIPTION NTH) (:EXECUTABLE-COUNTERPART NTH) (:DEFINITION NTH) (:INDUCTION SYMBOL-ALISTP) (:TYPE-PRESCRIPTION SYMBOL-ALISTP) (:EXECUTABLE-COUNTERPART SYMBOL-ALISTP) (:DEFINITION SYMBOL-ALISTP) (:INDUCTION ALISTP) (:TYPE-PRESCRIPTION ALISTP) (:EXECUTABLE-COUNTERPART ALISTP) (:DEFINITION ALISTP) (:TYPE-PRESCRIPTION IF*) (:EXECUTABLE-COUNTERPART IF*) (:DEFINITION IF*) (:TYPE-PRESCRIPTION MV-LIST) (:EXECUTABLE-COUNTERPART MV-LIST) (:DEFINITION MV-LIST) (:TYPE-PRESCRIPTION MINUSP) (:EXECUTABLE-COUNTERPART MINUSP) (:DEFINITION MINUSP) (:TYPE-PRESCRIPTION PLUSP) (:EXECUTABLE-COUNTERPART PLUSP) (:DEFINITION PLUSP) (:TYPE-PRESCRIPTION ZEROP) (:EXECUTABLE-COUNTERPART ZEROP) (:DEFINITION ZEROP) (:INDUCTION PSEUDO-TERM-LISTP) (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP) (:EXECUTABLE-COUNTERPART PSEUDO-TERM-LISTP) (:DEFINITION PSEUDO-TERM-LISTP) (:INDUCTION PSEUDO-TERMP) (:TYPE-PRESCRIPTION PSEUDO-TERMP) (:EXECUTABLE-COUNTERPART PSEUDO-TERMP) (:DEFINITION PSEUDO-TERMP) (:TYPE-PRESCRIPTION LISTP) (:EXECUTABLE-COUNTERPART LISTP) (:DEFINITION LISTP) (:INDUCTION O<) (:TYPE-PRESCRIPTION O<) (:EXECUTABLE-COUNTERPART O<) (:DEFINITION O<) (:INDUCTION O<G) (:TYPE-PRESCRIPTION O<G) (:EXECUTABLE-COUNTERPART O<G) (:DEFINITION O<G) (:TYPE-PRESCRIPTION O-RST) (:EXECUTABLE-COUNTERPART O-RST) (:DEFINITION O-RST) (:TYPE-PRESCRIPTION O-FIRST-COEFF) (:EXECUTABLE-COUNTERPART O-FIRST-COEFF) (:DEFINITION O-FIRST-COEFF) (:TYPE-PRESCRIPTION O-FIRST-EXPT) (:EXECUTABLE-COUNTERPART O-FIRST-EXPT) (:DEFINITION O-FIRST-EXPT) (:TYPE-PRESCRIPTION O-FINP) (:EXECUTABLE-COUNTERPART O-FINP) (:DEFINITION O-FINP) (:TYPE-PRESCRIPTION POSP) (:EXECUTABLE-COUNTERPART POSP) (:DEFINITION POSP) (:TYPE-PRESCRIPTION NATP) (:EXECUTABLE-COUNTERPART NATP) (:DEFINITION NATP) (:TYPE-PRESCRIPTION TAU-SYSTEM) (:EXECUTABLE-COUNTERPART TAU-SYSTEM) (:DEFINITION TAU-SYSTEM) (:TYPE-PRESCRIPTION SYNP) (:EXECUTABLE-COUNTERPART SYNP) (:DEFINITION SYNP) (:TYPE-PRESCRIPTION CASE-SPLIT) (:EXECUTABLE-COUNTERPART CASE-SPLIT) (:DEFINITION CASE-SPLIT) (:TYPE-PRESCRIPTION IMMEDIATE-FORCE-MODEP) (:DEFINITION IMMEDIATE-FORCE-MODEP) (:TYPE-PRESCRIPTION FORCE) (:EXECUTABLE-COUNTERPART FORCE) (:DEFINITION FORCE) (:TYPE-PRESCRIPTION ZIP) (:EXECUTABLE-COUNTERPART ZIP) (:TYPE-PRESCRIPTION ZP) (:EXECUTABLE-COUNTERPART ZP) (:TYPE-PRESCRIPTION /=) (:EXECUTABLE-COUNTERPART /=) (:DEFINITION /=) (:TYPE-PRESCRIPTION =) (:EXECUTABLE-COUNTERPART =) (:DEFINITION =) (:TYPE-PRESCRIPTION RETURN-LAST) (:EXECUTABLE-COUNTERPART RETURN-LAST) (:DEFINITION RETURN-LAST) (:INDUCTION SYMBOL-LISTP) (:TYPE-PRESCRIPTION SYMBOL-LISTP) (:EXECUTABLE-COUNTERPART SYMBOL-LISTP) (:DEFINITION SYMBOL-LISTP) (:TYPE-PRESCRIPTION NULL) (:EXECUTABLE-COUNTERPART NULL) (:DEFINITION NULL) (:TYPE-PRESCRIPTION ENDP) (:EXECUTABLE-COUNTERPART ENDP) (:DEFINITION ENDP) (:TYPE-PRESCRIPTION ATOM) (:EXECUTABLE-COUNTERPART ATOM) (:DEFINITION ATOM) (:TYPE-PRESCRIPTION EQL) (:EXECUTABLE-COUNTERPART EQL) (:DEFINITION EQL) (:INDUCTION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLE-LISTP) (:EXECUTABLE-COUNTERPART EQLABLE-LISTP) (:DEFINITION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLEP) (:EXECUTABLE-COUNTERPART EQLABLEP) (:TYPE-PRESCRIPTION LENGTH) (:EXECUTABLE-COUNTERPART LENGTH) (:DEFINITION LENGTH) (:INDUCTION LEN) (:TYPE-PRESCRIPTION LEN) (:EXECUTABLE-COUNTERPART LEN) (:DEFINITION LEN) (:INDUCTION TRUE-LISTP) (:TYPE-PRESCRIPTION TRUE-LISTP) (:EXECUTABLE-COUNTERPART TRUE-LISTP) (:DEFINITION TRUE-LISTP) (:TYPE-PRESCRIPTION REWRITE-EQUIV) (:EXECUTABLE-COUNTERPART REWRITE-EQUIV) (:DEFINITION REWRITE-EQUIV) (:TYPE-PRESCRIPTION NOT) (:EXECUTABLE-COUNTERPART NOT) (:DEFINITION NOT) (:TYPE-PRESCRIPTION IMPLIES) (:EXECUTABLE-COUNTERPART IMPLIES) (:DEFINITION IMPLIES) (:TYPE-PRESCRIPTION EQ) (:EXECUTABLE-COUNTERPART EQ) (:DEFINITION EQ) (:TYPE-PRESCRIPTION INSIST) (:EXECUTABLE-COUNTERPART INSIST) (:DEFINITION INSIST) (:EXECUTABLE-COUNTERPART SYMBOLP) (:DEFINITION SYMBOLP) (:EXECUTABLE-COUNTERPART SYMBOL-PACKAGE-NAME) (:DEFINITION SYMBOL-PACKAGE-NAME) (:EXECUTABLE-COUNTERPART SYMBOL-NAME) (:DEFINITION SYMBOL-NAME) (:EXECUTABLE-COUNTERPART STRINGP) (:DEFINITION STRINGP) (:EXECUTABLE-COUNTERPART REALPART) (:DEFINITION REALPART) (:EXECUTABLE-COUNTERPART RATIONALP) (:DEFINITION RATIONALP) (:EXECUTABLE-COUNTERPART PKG-WITNESS) (:DEFINITION PKG-WITNESS) (:EXECUTABLE-COUNTERPART PKG-IMPORTS) (:DEFINITION PKG-IMPORTS) (:EXECUTABLE-COUNTERPART NUMERATOR) (:DEFINITION NUMERATOR) (:EXECUTABLE-COUNTERPART INTERN-IN-PACKAGE-OF-SYMBOL) (:DEFINITION INTERN-IN-PACKAGE-OF-SYMBOL) (:EXECUTABLE-COUNTERPART INTEGERP) (:DEFINITION INTEGERP) (:EXECUTABLE-COUNTERPART IMAGPART) (:DEFINITION IMAGPART) (:EXECUTABLE-COUNTERPART IF) (:DEFINITION IF) (:EXECUTABLE-COUNTERPART EQUAL) (:DEFINITION EQUAL) (:EXECUTABLE-COUNTERPART DENOMINATOR) (:DEFINITION DENOMINATOR) (:EXECUTABLE-COUNTERPART CONSP) (:DEFINITION CONSP) (:EXECUTABLE-COUNTERPART CONS) (:DEFINITION CONS) (:EXECUTABLE-COUNTERPART COERCE) (:DEFINITION COERCE) (:EXECUTABLE-COUNTERPART COMPLEX-RATIONALP) (:DEFINITION COMPLEX-RATIONALP) (:EXECUTABLE-COUNTERPART COMPLEX) (:DEFINITION COMPLEX) (:EXECUTABLE-COUNTERPART CODE-CHAR) (:DEFINITION CODE-CHAR) (:EXECUTABLE-COUNTERPART CHARACTERP) (:DEFINITION CHARACTERP) (:EXECUTABLE-COUNTERPART CHAR-CODE) (:DEFINITION CHAR-CODE) (:EXECUTABLE-COUNTERPART CDR) (:DEFINITION CDR) (:EXECUTABLE-COUNTERPART CAR) (:DEFINITION CAR) (:EXECUTABLE-COUNTERPART <) (:DEFINITION <) (:EXECUTABLE-COUNTERPART UNARY-/) (:DEFINITION UNARY-/) (:EXECUTABLE-COUNTERPART UNARY--) (:DEFINITION UNARY--) (:EXECUTABLE-COUNTERPART BINARY-+) (:DEFINITION BINARY-+) (:EXECUTABLE-COUNTERPART BINARY-*) (:DEFINITION BINARY-*) (:EXECUTABLE-COUNTERPART BAD-ATOM<=) (:DEFINITION BAD-ATOM<=) (:EXECUTABLE-COUNTERPART ACL2-NUMBERP) (:DEFINITION ACL2-NUMBERP))))) (6 RECORD-EXPANSION (DEFTHEORY-STATIC ARITHMETIC-5-UNIVERSAL-FULL (UNIVERSAL-THEORY :HERE)) (DEFTHEORY ARITHMETIC-5-UNIVERSAL-FULL (QUOTE ((:REWRITE THE-FLOOR-BELOW) (:REWRITE THE-FLOOR-ABOVE) (:REWRITE |(equal (mod a n) (mod b n))|) (:REWRITE MOD-SUMS-CANCEL-1) (:REWRITE MOD-MULT) (:REWRITE MOD-PROD) (:REWRITE MOD-MULT-2) (:REWRITE MOD-THEOREM-THREE) (:REWRITE TWO-XXX) (:REWRITE MOD-THEOREM-TWO) (:REWRITE MOD-THEOREM-ONE-B) (:REWRITE MOD-THEOREM-ONE-A) (:REWRITE MOD-MULT-N) (:REWRITE FLOOR-EQUAL-I-OVER-J-REWRITE) (:REWRITE FLOOR-X+I*K-I*J) (:REWRITE MOD-X+I*K-I*J) (:REWRITE MOD-X-I*J-X-2) (:REWRITE MOD-X-I*J-V2) (:REWRITE MOD-X-I*J) (:REWRITE |(floor (+ x r) i)|) (:REWRITE |(* 1/2 (floor x y))| . 3) (:REWRITE |(* 1/2 (floor x y))| . 2) (:REWRITE |(* 1/2 (floor x y))| . 1) (:TYPE-PRESCRIPTION UGLY-UNHIDE-HACK-LOOP-STOPPER) (:EXECUTABLE-COUNTERPART UGLY-UNHIDE-HACK-LOOP-STOPPER) (:DEFINITION UGLY-UNHIDE-HACK-LOOP-STOPPER) (:INDUCTION UGLY-UNHIDE-HACK-LOOP-STOPPER-1) (:TYPE-PRESCRIPTION UGLY-UNHIDE-HACK-LOOP-STOPPER-1) (:EXECUTABLE-COUNTERPART UGLY-UNHIDE-HACK-LOOP-STOPPER-1) (:DEFINITION UGLY-UNHIDE-HACK-LOOP-STOPPER-1) (:REWRITE UGLY-UNHIDE-HACK-THM-2) (:REWRITE UGLY-UNHIDE-HACK-THM-1) (:TYPE-PRESCRIPTION UGLY-UNHIDE-HACK-FN) (:EXECUTABLE-COUNTERPART UGLY-UNHIDE-HACK-FN) (:DEFINITION UGLY-UNHIDE-HACK-FN) (:TYPE-PRESCRIPTION UGLY-UNHIDE-HACK) (:EXECUTABLE-COUNTERPART UGLY-UNHIDE-HACK) (:DEFINITION UGLY-UNHIDE-HACK) (:REWRITE |(* 2 (floor x y))| . 3) (:REWRITE |(* 2 (floor x y))| . 2) (:REWRITE |(* 2 (floor x y))| . 1) (:REWRITE DEFAULT-LOGNOT) (:REWRITE DEFAULT-LOGXOR-2) (:REWRITE DEFAULT-LOGXOR-1) (:REWRITE DEFAULT-LOGIOR-2) (:REWRITE DEFAULT-LOGIOR-1) (:REWRITE DEFAULT-LOGAND-2) (:REWRITE DEFAULT-LOGAND-1) (:REWRITE DEFAULT-MOD-2) (:REWRITE DEFAULT-MOD-1) (:REWRITE DEFAULT-MOD-RATIO) (:REWRITE DEFAULT-FLOOR-2) (:REWRITE DEFAULT-FLOOR-1) (:REWRITE DEFAULT-FLOOR-RATIO) (:REWRITE |(lognot (if a b c))|) (:REWRITE |(logand y (if a b c))|) (:REWRITE |(logand (if a b c) x)|) (:REWRITE |(mod y (if a b c))|) (:REWRITE |(mod (if a b c) x)|) (:REWRITE |(floor y (if a b c))|) (:REWRITE |(floor (if a b c) x)|) (:REWRITE |(mod x 1)|) (:REWRITE |(floor x 1)|) (:REWRITE |(mod 0 y)|) (:REWRITE |(mod x 0)|) (:REWRITE |(floor 0 y)|) (:REWRITE |(floor x 0)|) (:GENERALIZE |(mod (* 2 x) 1)|) (:REWRITE |(mod (* 2 x) 1)| . 3) (:REWRITE |(mod (* 2 x) 1)| . 2) (:REWRITE |(mod (* 2 x) 1)| . 1) (:GENERALIZE |(floor (* 2 x) 1)|) (:REWRITE |(floor (* 2 x) 1)| . 3) (:REWRITE |(floor (* 2 x) 1)| . 2) (:REWRITE |(floor (* 2 x) 1)| . 1) (:GENERALIZE |(mod x 2)|) (:REWRITE |(mod x 2)| . 2) (:REWRITE |(mod x 2)| . 1) (:GENERALIZE |(floor x 2)|) (:REWRITE |(floor x 2)| . 2) (:REWRITE |(floor x 2)| . 1) (:REWRITE MOD-X-Y-=-X-Y . 3) (:REWRITE MOD-X-Y-=-X-Y . 2) (:REWRITE MOD-X-Y-=-X-Y . 1) (:REWRITE MOD-X-Y-=-X+Y . 3) (:REWRITE MOD-X-Y-=-X+Y . 2) (:REWRITE MOD-X-Y-=-X+Y . 1) (:TYPE-PRESCRIPTION MOD-ZERO-2) (:REWRITE MOD-ZERO-2) (:TYPE-PRESCRIPTION MOD-ZERO . 4) (:TYPE-PRESCRIPTION MOD-ZERO . 3) (:TYPE-PRESCRIPTION MOD-ZERO . 2) (:TYPE-PRESCRIPTION MOD-ZERO . 1) (:REWRITE MOD-ZERO . 4) (:REWRITE MOD-ZERO . 3) (:REWRITE MOD-ZERO . 2) (:REWRITE MOD-ZERO . 1) (:REWRITE MOD-X-Y-=-X . 4) (:REWRITE MOD-X-Y-=-X . 3) (:REWRITE MOD-X-Y-=-X . 2) (:REWRITE MOD-X-Y-=-X . 1) (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2) (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1) (:REWRITE MOD-NEGATIVE . 3) (:REWRITE MOD-NEGATIVE . 2) (:REWRITE MOD-NEGATIVE . 1) (:TYPE-PRESCRIPTION MOD-POSITIVE . 2) (:TYPE-PRESCRIPTION MOD-POSITIVE . 1) (:REWRITE MOD-POSITIVE . 3) (:REWRITE MOD-POSITIVE . 2) (:REWRITE MOD-POSITIVE . 1) (:TYPE-PRESCRIPTION MOD-NONPOSITIVE) (:REWRITE MOD-NONPOSITIVE) (:TYPE-PRESCRIPTION MOD-NONNEGATIVE) (:REWRITE MOD-NONNEGATIVE) (:REWRITE FLOOR-=-X/Y . 2) (:REWRITE FLOOR-=-X/Y . 1) (:REWRITE FLOOR-X-Y-=--1 . 3) (:REWRITE FLOOR-X-Y-=--1 . 2) (:REWRITE FLOOR-X-Y-=--1 . 1) (:REWRITE 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(:REWRITE FLOOR-NONPOSITIVE . 2) (:REWRITE FLOOR-NONPOSITIVE . 1) (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 3) (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 2) (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE . 1) (:REWRITE FLOOR-NONNEGATIVE . 3) (:REWRITE FLOOR-NONNEGATIVE . 2) (:REWRITE FLOOR-NONNEGATIVE . 1) (:LINEAR MOD-BOUNDS-3) (:GENERALIZE MOD-BOUNDS-3) (:LINEAR MOD-BOUNDS-2) (:GENERALIZE MOD-BOUNDS-2) (:LINEAR MOD-BOUNDS-1) (:GENERALIZE MOD-BOUNDS-1) (:LINEAR LINEAR-FLOOR-BOUNDS-3) (:GENERALIZE LINEAR-FLOOR-BOUNDS-3) (:LINEAR LINEAR-FLOOR-BOUNDS-2) (:GENERALIZE LINEAR-FLOOR-BOUNDS-2) (:LINEAR LINEAR-FLOOR-BOUNDS-1) (:GENERALIZE LINEAR-FLOOR-BOUNDS-1) (:ELIM FLOOR-MOD-ELIM) (:REWRITE FLOOR-MOD-ELIM) (:TYPE-PRESCRIPTION RATIONALP-MOD) (:REWRITE RATIONALP-MOD) (:TYPE-PRESCRIPTION INTEGERP-MOD-3) (:REWRITE INTEGERP-MOD-3) (:TYPE-PRESCRIPTION INTEGERP-MOD-2) (:REWRITE INTEGERP-MOD-2) (:TYPE-PRESCRIPTION INTEGERP-MOD-1) (:REWRITE INTEGERP-MOD-1) (:REWRITE |(mod (+ x (- (mod a b))) y)|) (:INDUCTION SIMPLIFY-MOD-+-MINUS-MOD-FN) (:TYPE-PRESCRIPTION SIMPLIFY-MOD-+-MINUS-MOD-FN) (:EXECUTABLE-COUNTERPART SIMPLIFY-MOD-+-MINUS-MOD-FN) (:DEFINITION SIMPLIFY-MOD-+-MINUS-MOD-FN) (:REWRITE |(mod (+ x (mod a b)) y)|) (:INDUCTION SIMPLIFY-MOD-+-MOD-FN) (:TYPE-PRESCRIPTION SIMPLIFY-MOD-+-MOD-FN) (:EXECUTABLE-COUNTERPART SIMPLIFY-MOD-+-MOD-FN) (:DEFINITION SIMPLIFY-MOD-+-MOD-FN) (:REWRITE CANCEL-MOD-+) (:REWRITE CANCEL-FLOOR-+) (:INDUCTION FIND-CANCELLING-ADDENDS) (:TYPE-PRESCRIPTION FIND-CANCELLING-ADDENDS) (:EXECUTABLE-COUNTERPART FIND-CANCELLING-ADDENDS) (:DEFINITION FIND-CANCELLING-ADDENDS) (:REWRITE MOD-CANCEL-*-CONST) (:REWRITE FLOOR-CANCEL-*-CONST) (:TYPE-PRESCRIPTION FIND-CONSTANT-FACTOR-FLOOR-MOD) (:EXECUTABLE-COUNTERPART FIND-CONSTANT-FACTOR-FLOOR-MOD) (:DEFINITION FIND-CONSTANT-FACTOR-FLOOR-MOD) (:REWRITE MOD-CANCEL-*-REWRITING-GOAL-LITERAL) (:REWRITE MOD-CANCEL-*-NOT-REWRITING-GOAL-LITERAL) (:REWRITE FLOOR-CANCEL-*-REWRITING-GOAL-LITERAL) (:REWRITE FLOOR-CANCEL-*-NOT-REWRITING-GOAL-LITERAL) (:TYPE-PRESCRIPTION GET-THE-ENS-DANGEROUSLY) (:EXECUTABLE-COUNTERPART GET-THE-ENS-DANGEROUSLY) (:DEFINITION GET-THE-ENS-DANGEROUSLY) (:REWRITE |(equal (floor (+ x y) z) x)|) (:TYPE-PRESCRIPTION FLOOR-+-CANCEL-0-FN) (:EXECUTABLE-COUNTERPART FLOOR-+-CANCEL-0-FN) (:DEFINITION FLOOR-+-CANCEL-0-FN) (:INDUCTION FLOOR-+-CANCEL-0-FN-1) (:TYPE-PRESCRIPTION FLOOR-+-CANCEL-0-FN-1) (:EXECUTABLE-COUNTERPART FLOOR-+-CANCEL-0-FN-1) (:DEFINITION FLOOR-+-CANCEL-0-FN-1) (:TYPE-PRESCRIPTION FLOOR-+-CANCEL-0-FN-2) (:EXECUTABLE-COUNTERPART FLOOR-+-CANCEL-0-FN-2) (:DEFINITION FLOOR-+-CANCEL-0-FN-2) (:REWRITE |(equal (mod (+ x y) z) x)|) (:TYPE-PRESCRIPTION MOD-+-CANCEL-0-FN) (:EXECUTABLE-COUNTERPART MOD-+-CANCEL-0-FN) (:DEFINITION MOD-+-CANCEL-0-FN) (:INDUCTION MOD-+-CANCEL-0-FN-1) (:TYPE-PRESCRIPTION MOD-+-CANCEL-0-FN-1) (:EXECUTABLE-COUNTERPART MOD-+-CANCEL-0-FN-1) (:DEFINITION MOD-+-CANCEL-0-FN-1) (:REWRITE |(floor (floor x y) z)| . 5) (:REWRITE |(floor (floor x y) z)| . 4) (:REWRITE |(floor (floor x y) z)| . 3) (:REWRITE |(floor (floor x y) z)| . 2) (:REWRITE |(floor (floor x y) z)| . 1) (:REWRITE |(mod (floor x y) z)| . 5) (:REWRITE |(mod (floor x y) z)| . 4) (:REWRITE |(mod (floor x y) z)| . 3) (:REWRITE |(mod (floor x y) z)| . 2) (:REWRITE |(mod (floor x y) z)| . 1) (:REWRITE |(mod (mod x y) z)| . 3) (:REWRITE |(mod (mod x y) z)| . 2) (:REWRITE |(mod (mod x y) z)| . 1) (:REWRITE |(floor (mod x y) z)|) (:REWRITE |(mod x (- y))| . 3) (:REWRITE |(mod x (- y))| . 2) (:REWRITE |(mod x (- y))| . 1) (:REWRITE |(mod (- x) y)| . 3) (:REWRITE |(mod (- x) y)| . 2) (:REWRITE |(mod (- x) y)| . 1) (:REWRITE |(floor x (- y))| . 2) (:REWRITE |(floor x (- y))| . 1) (:REWRITE |(floor (- x) y)| . 2) (:REWRITE |(floor (- x) y)| . 1) (:REWRITE |(mod x (* y (/ z))) rewriting-goal-literal|) (:REWRITE |(mod x (* y (/ z))) not rewriting-goal-literal|) (:REWRITE |(mod (* x (/ y)) z) rewriting-goal-literal|) (:REWRITE |(mod (* x (/ y)) z) not 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(:REWRITE |(floor (+ x y) z) where (< z 0)| . 3) (:REWRITE |(floor (+ x y) z) where (< z 0)| . 2) (:REWRITE |(floor (+ x y) z) where (< z 0)| . 1) (:TYPE-PRESCRIPTION NOT-TOO-MANY-ADDENDS) (:EXECUTABLE-COUNTERPART NOT-TOO-MANY-ADDENDS) (:DEFINITION NOT-TOO-MANY-ADDENDS) (:INDUCTION NOT-TOO-MANY-ADDENDS-1) (:TYPE-PRESCRIPTION NOT-TOO-MANY-ADDENDS-1) (:EXECUTABLE-COUNTERPART NOT-TOO-MANY-ADDENDS-1) (:DEFINITION NOT-TOO-MANY-ADDENDS-1) (:REWRITE |(floor (+ x y) z) rewriting goal literal|) (:REWRITE |(floor (+ x y) z)|) (:REWRITE JUSTIFY-FLOOR-RECURSION) (:INDUCTION MOD-IND) (:INDUCTION FLOOR-IND) (:INDUCTION MOD-REC) (:TYPE-PRESCRIPTION MOD-REC) (:EXECUTABLE-COUNTERPART MOD-REC) (:DEFINITION MOD-REC) (:INDUCTION FLOOR-REC) (:TYPE-PRESCRIPTION FLOOR-REC) (:EXECUTABLE-COUNTERPART FLOOR-REC) (:DEFINITION FLOOR-REC) (:REWRITE MOD-EXPT-FAST-IS-MOD-EXPT) (:TYPE-PRESCRIPTION MOD-EXPT-FAST) (:EXECUTABLE-COUNTERPART MOD-EXPT-FAST) (:DEFINITION MOD-EXPT-FAST) (:INDUCTION MOD-EXPT-FAST-1) (:TYPE-PRESCRIPTION MOD-EXPT-FAST-1) (:EXECUTABLE-COUNTERPART MOD-EXPT-FAST-1) (:DEFINITION MOD-EXPT-FAST-1) (:REWRITE ASH-TO-FLOOR) (:REWRITE REWRITE-ROUND-TO-FLOOR) (:REWRITE REWRITE-CEILING-TO-FLOOR) (:REWRITE REWRITE-REM-TO-MOD) (:REWRITE REWRITE-TRUNCATE-TO-FLOOR) (:REWRITE LOGNOT-LOGNOT) (:REWRITE LOGNOT-LOGIOR) (:REWRITE LOGNOT-LOGAND) (:REWRITE |(integerp (* 1/2 (lognot x)))|) (:REWRITE |(mod (lognot x) 2)| . 3) (:REWRITE |(mod (lognot x) 2)| . 2) (:REWRITE |(mod (lognot x) 2)| . 1) (:REWRITE FLOOR-LOGNOT) (:REWRITE |(lognot (floor x 2))| . 3) (:REWRITE |(lognot (floor x 2))| . 2) (:REWRITE |(lognot (floor x 2))| . 1) (:REWRITE |(lognot (* 2 x))| . 3) (:REWRITE |(lognot (* 2 x))| . 2) (:REWRITE |(lognot (* 2 x))| . 1) (:REWRITE |(equal (lognot x) 0)|) (:REWRITE |(equal (lognot x) -1)|) (:REWRITE |(equal (lognot x) (lognot y))|) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 5) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 4) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 3) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 2) (:REWRITE |(integerp (* 1/2 (logxor x y)))| . 1) (:REWRITE |(mod (logxor x y) 2)| . 5) (:REWRITE |(mod (logxor x y) 2)| . 4) (:REWRITE |(mod (logxor x y) 2)| . 3) (:REWRITE |(mod (logxor x y) 2)| . 2) (:REWRITE |(mod (logxor x y) 2)| . 1) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 9) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 8) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 7) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 6) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 5) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 4) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 3) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 2) (:REWRITE |(logxor (floor x 2) (floor y 2))| . 1) (:REWRITE LOGXOR-X-X) (:REWRITE LOGXOR--1-X) (:REWRITE LOGXOR-1-X) (:REWRITE LOGXOR-0-X) (:REWRITE |(logxor y x)|) (:REWRITE |(integerp (* 1/2 (logior x y)))|) (:REWRITE MOD-LOGIOR-EXPT-2-N) (:REWRITE |(mod (logior x y) 2)| . 4) (:REWRITE |(mod (logior x y) 2)| . 3) (:REWRITE |(mod (logior x y) 2)| . 2) (:REWRITE |(mod (logior x y) 2)| . 1) (:REWRITE LOGIOR-FLOOR-EXPT-2-N) (:REWRITE |(logior (floor x 2) (floor y 2))| . 9) (:REWRITE |(logior (floor x 2) (floor y 2))| . 8) (:REWRITE |(logior (floor x 2) (floor y 2))| . 7) (:REWRITE |(logior (floor x 2) (floor y 2))| . 6) (:REWRITE |(logior (floor x 2) (floor y 2))| . 5) (:REWRITE |(logior (floor x 2) (floor y 2))| . 4) (:REWRITE |(logior (floor x 2) (floor y 2))| . 3) (:REWRITE |(logior (floor x 2) (floor y 2))| . 2) (:REWRITE |(logior (floor x 2) (floor y 2))| . 1) (:REWRITE |(logior (* 2 x) (* 2 y))| . 5) (:REWRITE |(logior (* 2 x) (* 2 y))| . 4) (:REWRITE |(logior (* 2 x) (* 2 y))| . 3) (:REWRITE |(logior (* 2 x) (* 2 y))| . 2) (:REWRITE |(logior (* 2 x) (* 2 y))| . 1) (:TYPE-PRESCRIPTION |(< 0 (logior x y))| . 2) (:TYPE-PRESCRIPTION |(< 0 (logior x y))| . 1) (:REWRITE |(< 0 (logior x y))|) (:TYPE-PRESCRIPTION |(< (logior x y) 0)| . 2) (:TYPE-PRESCRIPTION |(< (logior x y) 0)| . 1) (:REWRITE |(< (logior x y) 0)|) (:REWRITE |(equal (logior x y) 0)|) (:LINEAR LOGIOR-BOUNDS-NEG . 2) (:REWRITE LOGIOR-BOUNDS-NEG . 2) (:LINEAR LOGIOR-BOUNDS-NEG . 1) (:REWRITE LOGIOR-BOUNDS-NEG . 1) (:LINEAR LOGIOR-BOUNDS-POS . 2) (:REWRITE LOGIOR-BOUNDS-POS . 2) (:LINEAR LOGIOR-BOUNDS-POS . 1) (:REWRITE LOGIOR-BOUNDS-POS . 1) (:REWRITE LOGIOR-X-X) (:REWRITE LOGIOR--1-X) (:REWRITE |(logior 1 x)|) (:REWRITE LOGIOR-0-X) (:REWRITE |(logior c d x)|) (:REWRITE |(logior y x z)|) (:REWRITE |(logior (logior x y) z)|) (:REWRITE |(logior y x)|) (:REWRITE LOGAND-MASK-SHIFTED) (:REWRITE LOGAND-CONSTANT-MASK) (:TYPE-PRESCRIPTION L-C-M-FN) (:EXECUTABLE-COUNTERPART L-C-M-FN) (:DEFINITION L-C-M-FN) (:REWRITE LOGAND-MASK) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 4) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 3) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 2) (:REWRITE |(integerp (* 1/2 (logand x y)))| . 1) (:REWRITE MOD-LOGAND) (:REWRITE |(mod (logand x y) 2)| . 4) (:REWRITE |(mod (logand x y) 2)| . 3) (:REWRITE |(mod (logand x y) 2)| . 2) (:REWRITE |(mod (logand x y) 2)| . 1) (:REWRITE LOGAND-FLOOR-EXPT-2-N) (:REWRITE |(logand (floor x 2) (floor y 2))| . 9) (:REWRITE |(logand (floor x 2) (floor y 2))| . 8) (:REWRITE |(logand (floor x 2) (floor y 2))| . 7) (:REWRITE |(logand (floor x 2) (floor y 2))| . 6) (:REWRITE |(logand (floor x 2) (floor y 2))| . 5) (:REWRITE |(logand (floor x 2) (floor y 2))| . 4) (:REWRITE |(logand (floor x 2) (floor y 2))| . 3) (:REWRITE |(logand (floor x 2) (floor y 2))| . 2) (:REWRITE |(logand (floor x 2) (floor y 2))| . 1) (:REWRITE |(logand (* 2 x) (* 2 y))| . 5) (:REWRITE |(logand (* 2 x) (* 2 y))| . 4) (:REWRITE |(logand (* 2 x) (* 2 y))| . 3) (:REWRITE |(logand (* 2 x) (* 2 y))| . 2) (:REWRITE |(logand (* 2 x) (* 2 y))| . 1) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 3) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 2) (:TYPE-PRESCRIPTION |(< (logand x y) 0)| . 1) (:REWRITE |(< (logand x y) 0)|) (:REWRITE |(equal (logand x y) -1)|) (:LINEAR 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x)|) (:REWRITE |(/ (if a b c))|) (:REWRITE |(* x (if a b c))|) (:REWRITE |(* (if a b c) x)|) (:REWRITE |(- (if a b c))|) (:REWRITE |(+ x (if a b c))|) (:REWRITE |(+ (if a b c) x)|) (:REWRITE EVEN-IS-NOT-ODD) (:REWRITE |(< 0 (* x (/ y))) rationalp (* x (/ y))|) (:REWRITE |(< (* x (/ y)) 0) rationalp (* x (/ y))|) (:REWRITE |(< 0 (* x y)) rationalp (* x y)|) (:REWRITE |(< (* x y) 0) rationalp (* x y)|) (:REWRITE |(< 0 (* x y))|) (:REWRITE |(< (* x y) 0)|) (:TYPE-PRESCRIPTION FIND-RATIONAL-FACTOR-AND-REMAINDER) (:EXECUTABLE-COUNTERPART FIND-RATIONAL-FACTOR-AND-REMAINDER) (:DEFINITION FIND-RATIONAL-FACTOR-AND-REMAINDER) (:INDUCTION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:TYPE-PRESCRIPTION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:EXECUTABLE-COUNTERPART FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:DEFINITION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:INDUCTION PRODUCT) (:TYPE-PRESCRIPTION PRODUCT) (:EXECUTABLE-COUNTERPART PRODUCT) (:DEFINITION PRODUCT) (:REWRITE |(equal (* x y) 0)|) (:REWRITE |(< x 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x 0)|) (:REWRITE |(<= (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(< (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(<= (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(< (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(<= (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(< (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(< -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(< -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(<= -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(< -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(<= -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(< -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(<= (* (/ x) y) 1) with (< x 0)|) (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|) (:REWRITE |(<= (* (/ x) y) 1) with (< 0 x)|) (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|) (:REWRITE |(<= (* x (/ y)) 1) with (< y 0)|) (:REWRITE |(< (* x (/ y)) 1) with (< y 0)|) (:REWRITE |(<= (* x (/ y)) 1) with (< 0 y)|) (:REWRITE |(< (* x (/ y)) 1) with (< 0 y)|) 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(/ y))))|) (:REWRITE |(equal x (- (/ y)))|) (:REWRITE |(not (equal x (/ y)))|) (:REWRITE |(equal x (/ y))|) (:REWRITE |(< (/ x) (/ y))|) (:REWRITE |(< (- x) (- y))|) (:REWRITE |(< c (/ x)) negative c --- obj t or nil|) (:REWRITE |(< c (/ x)) negative c --- present in goal|) (:REWRITE |(< c (/ x)) positive c --- obj t or nil|) (:REWRITE |(< c (/ x)) positive c --- present in goal|) (:REWRITE |(< (/ x) c) positive c --- obj t or nil|) (:REWRITE |(< (/ x) c) positive c --- present in goal|) (:REWRITE |(< (/ x) c) negative c --- obj t or nil|) (:REWRITE |(< (/ x) c) negative c --- present in goal|) (:REWRITE |(< 0 (/ x))|) (:REWRITE |(< (/ x) 0)|) (:REWRITE |(< c (- x))|) (:REWRITE |(< (- x) c)|) (:REWRITE CONSTANT-<-INTEGERP) (:REWRITE INTEGERP-<-CONSTANT) (:REWRITE |(equal (/ x) (/ y))|) (:REWRITE |(equal (- x) (- y))|) (:REWRITE |(equal c (/ x))|) (:REWRITE |(equal (/ x) c)|) (:REWRITE |(equal c (- x))|) (:REWRITE |(equal (- x) c)|) (:REWRITE ACL2-NUMBERP-X) (:REWRITE RATIONALP-X) (:REWRITE INTEGERP-/) (:REWRITE NOT-INTEGERP-/-2) (:REWRITE NOT-INTEGERP-/-1) (:REWRITE RATIONALP-/) (:REWRITE |(integerp (- x))|) (:REWRITE |(rationalp (- x))|) (:REWRITE ARITH-BUBBLE-DOWN-+-MATCH-3) (:REWRITE ARITH-BUBBLE-DOWN-+-MATCH-2) (:REWRITE ARITH-BUBBLE-DOWN-+-MATCH-1) (:REWRITE ARITH-BUBBLE-DOWN-+-BUBBLE-DOWN) (:REWRITE ARITH-BUBBLE-DOWN-+-PROBLEM-FINDER) (:REWRITE ARITH-BUBBLE-DOWN-*-MATCH-3) (:REWRITE ARITH-BUBBLE-DOWN-*-MATCH-2) (:REWRITE ARITH-BUBBLE-DOWN-*-MATCH-1) (:REWRITE ARITH-BUBBLE-DOWN-*-BUBBLE-DOWN) (:REWRITE ARITH-BUBBLE-DOWN-*-PROBLEM-FINDER) (:REWRITE |(arith-collect-+ y x)|) (:REWRITE |arith (+ (* c x) (* d x))|) (:REWRITE |arith (+ (- x) (* c x))|) (:REWRITE |arith (+ x (* c x))|) (:REWRITE |arith (+ x (- x))|) (:REWRITE |arith (+ x x)|) (:REWRITE ARITH-COLLECT-+-PROBLEM-FINDER) (:TYPE-PRESCRIPTION ARITH-COLLECT-+) (:EXECUTABLE-COUNTERPART ARITH-COLLECT-+) (:DEFINITION ARITH-COLLECT-+) (:REWRITE |arith (+ c (+ d x))|) (:REWRITE |(arith-collect-* y x)|) (:REWRITE |arith (expt x c)|) (:REWRITE |arith (* (expt c n) (expt d n))|) (:REWRITE |arith (* (expt x m) (/ (expt (- x) n)))|) (:REWRITE |arith (* (expt x m) (expt (- x) (- n)))|) (:REWRITE |arith (* (expt (- x) m) (/ (expt x n)))|) (:REWRITE |arith (* (expt (- x) m) (expt x (- n)))|) (:REWRITE |arith (* (/ (expt x m)) (expt (- x) n))|) (:REWRITE |arith (* (expt x (- m)) (expt (- x) n))|) (:REWRITE |arith (* (/ (expt (- x) m)) (expt x n))|) (:REWRITE |arith (* (expt (- x) (- m)) (expt x n))|) (:REWRITE |arith (* (expt x m) (/ (expt x n)))|) (:REWRITE |arith (* (expt x m) (expt x (- n)))|) (:REWRITE |arith (* (/ (expt x m)) (expt x n))|) (:REWRITE |arith (* (expt x (- m)) (expt x n))|) (:REWRITE |arith (* (expt x m) (expt (- x) n))|) (:REWRITE |arith (* (expt (- x) m) (expt x n))|) (:REWRITE |arith (* (expt x m) (expt x n))|) (:REWRITE |arith (* (/ x) (expt (- x) n))|) (:REWRITE |arith (* (/ x) (expt x n))|) (:REWRITE |arith (* x (/ (expt (- x) n)))|) (:REWRITE |arith (* x (expt (- x) 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(:EXECUTABLE-COUNTERPART AND-LIST) (:DEFINITION AND-LIST) (:INDUCTION OR-LIST) (:TYPE-PRESCRIPTION OR-LIST) (:EXECUTABLE-COUNTERPART OR-LIST) (:DEFINITION OR-LIST) (:TYPE-PRESCRIPTION BINARY-POR) (:EXECUTABLE-COUNTERPART BINARY-POR) (:DEFINITION BINARY-POR) (:TYPE-PRESCRIPTION BINARY-PAND) (:EXECUTABLE-COUNTERPART BINARY-PAND) (:DEFINITION BINARY-PAND) (:TYPE-PRESCRIPTION WEAK-DEF-BODY-P) (:EXECUTABLE-COUNTERPART WEAK-DEF-BODY-P) (:DEFINITION WEAK-DEF-BODY-P) (:TYPE-PRESCRIPTION WEAK-STATE-VARS-P) (:EXECUTABLE-COUNTERPART WEAK-STATE-VARS-P) (:DEFINITION WEAK-STATE-VARS-P) (:TYPE-PRESCRIPTION WEAK-IO-RECORD-P) (:EXECUTABLE-COUNTERPART WEAK-IO-RECORD-P) (:DEFINITION WEAK-IO-RECORD-P) (:TYPE-PRESCRIPTION WORMHOLE-EVAL) (:EXECUTABLE-COUNTERPART WORMHOLE-EVAL) (:DEFINITION WORMHOLE-EVAL) (:TYPE-PRESCRIPTION MAKE-WORMHOLE-STATUS) (:EXECUTABLE-COUNTERPART MAKE-WORMHOLE-STATUS) (:DEFINITION MAKE-WORMHOLE-STATUS) (:TYPE-PRESCRIPTION SET-WORMHOLE-DATA) (:EXECUTABLE-COUNTERPART SET-WORMHOLE-DATA) (:DEFINITION SET-WORMHOLE-DATA) (:TYPE-PRESCRIPTION SET-WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART SET-WORMHOLE-ENTRY-CODE) (:DEFINITION SET-WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-DATA) (:EXECUTABLE-COUNTERPART WORMHOLE-DATA) (:DEFINITION WORMHOLE-DATA) (:TYPE-PRESCRIPTION WORMHOLE-ENTRY-CODE) (:EXECUTABLE-COUNTERPART WORMHOLE-ENTRY-CODE) (:DEFINITION WORMHOLE-ENTRY-CODE) (:TYPE-PRESCRIPTION WORMHOLE-STATUSP) (:EXECUTABLE-COUNTERPART WORMHOLE-STATUSP) (:DEFINITION WORMHOLE-STATUSP) (:TYPE-PRESCRIPTION HONS-COPY) (:EXECUTABLE-COUNTERPART HONS-COPY) (:DEFINITION HONS-COPY) (:TYPE-PRESCRIPTION FLOOR) (:EXECUTABLE-COUNTERPART FLOOR) (:DEFINITION FLOOR) (:INDUCTION NONNEGATIVE-INTEGER-QUOTIENT) (:TYPE-PRESCRIPTION NONNEGATIVE-INTEGER-QUOTIENT) (:EXECUTABLE-COUNTERPART NONNEGATIVE-INTEGER-QUOTIENT) (:DEFINITION NONNEGATIVE-INTEGER-QUOTIENT) (:INDUCTION ACL2-COUNT) (:TYPE-PRESCRIPTION ACL2-COUNT) (:EXECUTABLE-COUNTERPART ACL2-COUNT) (:DEFINITION ACL2-COUNT) (:TYPE-PRESCRIPTION INTEGER-ABS) (:EXECUTABLE-COUNTERPART INTEGER-ABS) (:DEFINITION INTEGER-ABS) (:TYPE-PRESCRIPTION IFIX) (:EXECUTABLE-COUNTERPART IFIX) (:DEFINITION IFIX) (:TYPE-PRESCRIPTION NFIX) (:EXECUTABLE-COUNTERPART NFIX) (:DEFINITION NFIX) (:INDUCTION SUBLIS) (:TYPE-PRESCRIPTION SUBLIS) (:EXECUTABLE-COUNTERPART SUBLIS) (:DEFINITION SUBLIS) (:INDUCTION ASSOC-EQUAL) (:TYPE-PRESCRIPTION ASSOC-EQUAL) (:EXECUTABLE-COUNTERPART ASSOC-EQUAL) (:DEFINITION ASSOC-EQUAL) (:INDUCTION ASSOC-EQL-EXEC) (:TYPE-PRESCRIPTION ASSOC-EQL-EXEC) (:EXECUTABLE-COUNTERPART ASSOC-EQL-EXEC) (:DEFINITION ASSOC-EQL-EXEC) (:INDUCTION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION EQLABLE-ALISTP) (:EXECUTABLE-COUNTERPART EQLABLE-ALISTP) (:DEFINITION EQLABLE-ALISTP) (:TYPE-PRESCRIPTION CHAR) (:EXECUTABLE-COUNTERPART CHAR) (:DEFINITION CHAR) (:INDUCTION NTH) (:TYPE-PRESCRIPTION NTH) (:EXECUTABLE-COUNTERPART NTH) (:DEFINITION NTH) (:INDUCTION SYMBOL-ALISTP) (:TYPE-PRESCRIPTION SYMBOL-ALISTP) (:EXECUTABLE-COUNTERPART SYMBOL-ALISTP) (:DEFINITION SYMBOL-ALISTP) (:INDUCTION ALISTP) (:TYPE-PRESCRIPTION ALISTP) (:EXECUTABLE-COUNTERPART ALISTP) (:DEFINITION ALISTP) (:TYPE-PRESCRIPTION IF*) (:EXECUTABLE-COUNTERPART IF*) (:DEFINITION IF*) (:TYPE-PRESCRIPTION MV-LIST) (:EXECUTABLE-COUNTERPART MV-LIST) (:DEFINITION MV-LIST) (:TYPE-PRESCRIPTION MINUSP) (:EXECUTABLE-COUNTERPART MINUSP) (:DEFINITION MINUSP) (:TYPE-PRESCRIPTION PLUSP) (:EXECUTABLE-COUNTERPART PLUSP) (:DEFINITION PLUSP) (:TYPE-PRESCRIPTION ZEROP) (:EXECUTABLE-COUNTERPART ZEROP) (:DEFINITION ZEROP) (:INDUCTION PSEUDO-TERM-LISTP) (:TYPE-PRESCRIPTION PSEUDO-TERM-LISTP) (:EXECUTABLE-COUNTERPART PSEUDO-TERM-LISTP) (:DEFINITION PSEUDO-TERM-LISTP) (:INDUCTION PSEUDO-TERMP) (:TYPE-PRESCRIPTION PSEUDO-TERMP) (:EXECUTABLE-COUNTERPART PSEUDO-TERMP) (:DEFINITION PSEUDO-TERMP) (:TYPE-PRESCRIPTION LISTP) (:EXECUTABLE-COUNTERPART LISTP) (:DEFINITION LISTP) (:INDUCTION O<) (:TYPE-PRESCRIPTION O<) (:EXECUTABLE-COUNTERPART O<) (:DEFINITION O<) (:INDUCTION O<G) (:TYPE-PRESCRIPTION O<G) (:EXECUTABLE-COUNTERPART O<G) (:DEFINITION O<G) (:TYPE-PRESCRIPTION O-RST) (:EXECUTABLE-COUNTERPART O-RST) (:DEFINITION O-RST) (:TYPE-PRESCRIPTION O-FIRST-COEFF) (:EXECUTABLE-COUNTERPART O-FIRST-COEFF) (:DEFINITION O-FIRST-COEFF) (:TYPE-PRESCRIPTION O-FIRST-EXPT) (:EXECUTABLE-COUNTERPART O-FIRST-EXPT) (:DEFINITION O-FIRST-EXPT) (:TYPE-PRESCRIPTION O-FINP) (:EXECUTABLE-COUNTERPART O-FINP) (:DEFINITION O-FINP) (:TYPE-PRESCRIPTION POSP) (:EXECUTABLE-COUNTERPART POSP) (:DEFINITION POSP) (:TYPE-PRESCRIPTION NATP) (:EXECUTABLE-COUNTERPART NATP) (:DEFINITION NATP) (:TYPE-PRESCRIPTION TAU-SYSTEM) (:EXECUTABLE-COUNTERPART TAU-SYSTEM) (:DEFINITION TAU-SYSTEM) (:TYPE-PRESCRIPTION SYNP) (:EXECUTABLE-COUNTERPART SYNP) (:DEFINITION SYNP) (:TYPE-PRESCRIPTION CASE-SPLIT) (:EXECUTABLE-COUNTERPART CASE-SPLIT) (:DEFINITION CASE-SPLIT) (:TYPE-PRESCRIPTION IMMEDIATE-FORCE-MODEP) (:EXECUTABLE-COUNTERPART IMMEDIATE-FORCE-MODEP) (:DEFINITION IMMEDIATE-FORCE-MODEP) (:TYPE-PRESCRIPTION FORCE) (:EXECUTABLE-COUNTERPART FORCE) (:DEFINITION FORCE) (:TYPE-PRESCRIPTION ZIP) (:EXECUTABLE-COUNTERPART ZIP) (:DEFINITION ZIP) (:TYPE-PRESCRIPTION ZP) (:EXECUTABLE-COUNTERPART ZP) (:DEFINITION ZP) (:TYPE-PRESCRIPTION /=) (:EXECUTABLE-COUNTERPART /=) (:DEFINITION /=) (:TYPE-PRESCRIPTION =) (:EXECUTABLE-COUNTERPART =) (:DEFINITION =) (:TYPE-PRESCRIPTION RETURN-LAST) (:EXECUTABLE-COUNTERPART RETURN-LAST) (:DEFINITION RETURN-LAST) (:INDUCTION SYMBOL-LISTP) (:TYPE-PRESCRIPTION SYMBOL-LISTP) (:EXECUTABLE-COUNTERPART SYMBOL-LISTP) (:DEFINITION SYMBOL-LISTP) (:TYPE-PRESCRIPTION NULL) (:EXECUTABLE-COUNTERPART NULL) (:DEFINITION NULL) (:TYPE-PRESCRIPTION ENDP) (:EXECUTABLE-COUNTERPART ENDP) (:DEFINITION ENDP) (:TYPE-PRESCRIPTION ATOM) (:EXECUTABLE-COUNTERPART ATOM) (:DEFINITION ATOM) (:TYPE-PRESCRIPTION EQL) (:EXECUTABLE-COUNTERPART EQL) (:DEFINITION EQL) (:INDUCTION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLE-LISTP) (:EXECUTABLE-COUNTERPART EQLABLE-LISTP) (:DEFINITION EQLABLE-LISTP) (:TYPE-PRESCRIPTION EQLABLEP) (:EXECUTABLE-COUNTERPART EQLABLEP) (:DEFINITION EQLABLEP) (:TYPE-PRESCRIPTION LENGTH) (:EXECUTABLE-COUNTERPART LENGTH) (:DEFINITION LENGTH) (:INDUCTION LEN) (:TYPE-PRESCRIPTION LEN) (:EXECUTABLE-COUNTERPART LEN) (:DEFINITION LEN) (:INDUCTION TRUE-LISTP) (:TYPE-PRESCRIPTION TRUE-LISTP) (:EXECUTABLE-COUNTERPART TRUE-LISTP) (:DEFINITION TRUE-LISTP) (:TYPE-PRESCRIPTION REWRITE-EQUIV) (:EXECUTABLE-COUNTERPART REWRITE-EQUIV) (:DEFINITION REWRITE-EQUIV) (:TYPE-PRESCRIPTION NOT) (:EXECUTABLE-COUNTERPART NOT) (:DEFINITION NOT) (:TYPE-PRESCRIPTION IMPLIES) (:EXECUTABLE-COUNTERPART IMPLIES) (:DEFINITION IMPLIES) (:TYPE-PRESCRIPTION EQ) (:EXECUTABLE-COUNTERPART EQ) (:DEFINITION EQ) (:TYPE-PRESCRIPTION INSIST) (:EXECUTABLE-COUNTERPART INSIST) (:DEFINITION INSIST) (:EXECUTABLE-COUNTERPART SYMBOLP) (:DEFINITION SYMBOLP) (:EXECUTABLE-COUNTERPART SYMBOL-PACKAGE-NAME) (:DEFINITION SYMBOL-PACKAGE-NAME) (:EXECUTABLE-COUNTERPART SYMBOL-NAME) (:DEFINITION SYMBOL-NAME) (:EXECUTABLE-COUNTERPART STRINGP) (:DEFINITION STRINGP) (:EXECUTABLE-COUNTERPART REALPART) (:DEFINITION REALPART) (:EXECUTABLE-COUNTERPART RATIONALP) (:DEFINITION RATIONALP) (:EXECUTABLE-COUNTERPART PKG-WITNESS) (:DEFINITION PKG-WITNESS) (:EXECUTABLE-COUNTERPART PKG-IMPORTS) (:DEFINITION PKG-IMPORTS) (:EXECUTABLE-COUNTERPART NUMERATOR) (:DEFINITION NUMERATOR) (:EXECUTABLE-COUNTERPART INTERN-IN-PACKAGE-OF-SYMBOL) (:DEFINITION INTERN-IN-PACKAGE-OF-SYMBOL) (:EXECUTABLE-COUNTERPART INTEGERP) (:DEFINITION INTEGERP) (:EXECUTABLE-COUNTERPART IMAGPART) (:DEFINITION IMAGPART) (:EXECUTABLE-COUNTERPART IF) (:DEFINITION IF) (:EXECUTABLE-COUNTERPART EQUAL) (:DEFINITION EQUAL) (:EXECUTABLE-COUNTERPART DENOMINATOR) (:DEFINITION DENOMINATOR) (:EXECUTABLE-COUNTERPART CONSP) (:DEFINITION CONSP) (:EXECUTABLE-COUNTERPART CONS) (:DEFINITION CONS) (:EXECUTABLE-COUNTERPART COERCE) (:DEFINITION COERCE) (:EXECUTABLE-COUNTERPART COMPLEX-RATIONALP) (:DEFINITION COMPLEX-RATIONALP) (:EXECUTABLE-COUNTERPART COMPLEX) (:DEFINITION COMPLEX) (:EXECUTABLE-COUNTERPART CODE-CHAR) (:DEFINITION CODE-CHAR) (:EXECUTABLE-COUNTERPART CHARACTERP) (:DEFINITION CHARACTERP) (:EXECUTABLE-COUNTERPART CHAR-CODE) (:DEFINITION CHAR-CODE) (:EXECUTABLE-COUNTERPART CDR) (:DEFINITION CDR) (:EXECUTABLE-COUNTERPART CAR) (:DEFINITION CAR) (:EXECUTABLE-COUNTERPART <) (:DEFINITION <) (:EXECUTABLE-COUNTERPART UNARY-/) (:DEFINITION UNARY-/) (:EXECUTABLE-COUNTERPART UNARY--) (:DEFINITION UNARY--) (:EXECUTABLE-COUNTERPART BINARY-+) (:DEFINITION BINARY-+) (:EXECUTABLE-COUNTERPART BINARY-*) (:DEFINITION BINARY-*) (:EXECUTABLE-COUNTERPART BAD-ATOM<=) (:DEFINITION BAD-ATOM<=) (:EXECUTABLE-COUNTERPART ACL2-NUMBERP) (:DEFINITION ACL2-NUMBERP))))) (9 RECORD-EXPANSION (DEFTHEORY-STATIC MINIMAL-ARITHMETIC-5 (UNION-THEORIES (SET-DIFFERENCE-THEORIES (THEORY (QUOTE ARITHMETIC-5-MINIMAL-END-A)) (THEORY (QUOTE ARITHMETIC-5-MINIMAL-START-A))) (SET-DIFFERENCE-THEORIES (THEORY (QUOTE ARITHMETIC-5-MINIMAL-END-B)) (THEORY (QUOTE ARITHMETIC-5-MINIMAL-START-B))))) (DEFTHEORY MINIMAL-ARITHMETIC-5 (QUOTE ((:REWRITE DEFAULT-EXPT-2) (:REWRITE DEFAULT-EXPT-1) (:REWRITE DEFAULT-LESS-THAN-2) (:REWRITE DEFAULT-LESS-THAN-1) (:REWRITE DEFAULT-RATIONAL-NUMERATOR) (:REWRITE DEFAULT-RATIONAL-DENOMINATOR) (:REWRITE DEFAULT-DIVIDE) (:REWRITE DEFAULT-TIMES-2) (:REWRITE DEFAULT-TIMES-1) (:REWRITE DEFAULT-MINUS) (:REWRITE DEFAULT-PLUS-2) (:REWRITE DEFAULT-PLUS-1) (:REWRITE |(< (if a b c) x)|) (:REWRITE |(< x (if a b c))|) (:REWRITE |(equal (if a b c) x)|) (:REWRITE |(equal x (if a b c))|) (:REWRITE |(expt x (if a b c))|) (:REWRITE |(expt (if a b c) x)|) (:REWRITE |(/ (if a b c))|) (:REWRITE |(* x (if a b c))|) (:REWRITE |(* (if a b c) x)|) (:REWRITE |(- (if a b c))|) (:REWRITE |(+ x (if a b c))|) (:REWRITE |(+ (if a b c) x)|) (:REWRITE EVEN-IS-NOT-ODD) (:REWRITE |(< 0 (* x (/ y))) rationalp (* x (/ y))|) (:REWRITE |(< (* x (/ y)) 0) rationalp (* x (/ y))|) (:REWRITE |(< 0 (* x y)) rationalp (* x y)|) (:REWRITE |(< (* x y) 0) rationalp (* x y)|) (:REWRITE |(< 0 (* x y))|) (:REWRITE |(< (* x y) 0)|) (:TYPE-PRESCRIPTION FIND-RATIONAL-FACTOR-AND-REMAINDER) (:EXECUTABLE-COUNTERPART FIND-RATIONAL-FACTOR-AND-REMAINDER) (:DEFINITION FIND-RATIONAL-FACTOR-AND-REMAINDER) (:INDUCTION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:TYPE-PRESCRIPTION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:EXECUTABLE-COUNTERPART FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:DEFINITION FIND-RATIONAL-FACTOR-AND-REMAINDER-1) (:INDUCTION PRODUCT) (:TYPE-PRESCRIPTION PRODUCT) (:EXECUTABLE-COUNTERPART PRODUCT) (:DEFINITION PRODUCT) (:REWRITE |(equal (* x y) 0)|) (:REWRITE |(< x (+ c/d y))|) (:REWRITE |(< (+ c/d x) y)|) (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-<) (:REWRITE REDUCE-RATIONAL-MULTIPLICATIVE-CONSTANT-<) (:REWRITE REDUCE-MULTIPLICATIVE-CONSTANT-EQUAL) (:TYPE-PRESCRIPTION FIND-CONSTANT-FACTOR-<) (:EXECUTABLE-COUNTERPART FIND-CONSTANT-FACTOR-<) (:DEFINITION FIND-CONSTANT-FACTOR-<) (:TYPE-PRESCRIPTION FIND-RATIONAL-CONSTANT-FACTOR-<) (:EXECUTABLE-COUNTERPART FIND-RATIONAL-CONSTANT-FACTOR-<) (:DEFINITION FIND-RATIONAL-CONSTANT-FACTOR-<) (:TYPE-PRESCRIPTION FIND-CONSTANT-FACTOR-EQUAL) (:EXECUTABLE-COUNTERPART FIND-CONSTANT-FACTOR-EQUAL) (:DEFINITION FIND-CONSTANT-FACTOR-EQUAL) (:REWRITE REDUCE-ADDITIVE-CONSTANT-<) (:REWRITE REDUCE-ADDITIVE-CONSTANT-EQUAL) (:TYPE-PRESCRIPTION FIND-CONSTANT-ADDEND) (:EXECUTABLE-COUNTERPART FIND-CONSTANT-ADDEND) (:DEFINITION FIND-CONSTANT-ADDEND) (:REWRITE |(< y (+ (- c) x))|) (:REWRITE |(< (+ (- c) x) y)|) (:REWRITE |(equal (+ (- c) x) y)|) (:REWRITE |(<= (* (/ x) y) -1) with (< x 0)|) (:REWRITE |(< (* (/ x) y) -1) with (< x 0)|) (:REWRITE |(<= (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(< (* (/ x) y) -1) with (< 0 x)|) (:REWRITE |(<= (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(< (* x (/ y)) -1) with (< y 0)|) (:REWRITE |(<= (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(< (* x (/ y)) -1) with (< 0 y)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(< -1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(<= -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(< -1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(<= -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(< -1 (* x (/ y))) with (< y 0)|) (:REWRITE |(<= -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(< -1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(<= (* (/ x) y) 1) with (< x 0)|) (:REWRITE |(< (* (/ x) y) 1) with (< x 0)|) (:REWRITE |(<= (* (/ x) y) 1) with (< 0 x)|) (:REWRITE |(< (* (/ x) y) 1) with (< 0 x)|) (:REWRITE |(<= (* x (/ y)) 1) with (< y 0)|) (:REWRITE |(< (* x (/ y)) 1) with (< y 0)|) (:REWRITE |(<= (* x (/ y)) 1) with (< 0 y)|) (:REWRITE |(< (* x (/ y)) 1) with (< 0 y)|) (:REWRITE |(<= 1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(< 1 (* (/ x) y)) with (< x 0)|) (:REWRITE |(<= 1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(< 1 (* (/ x) y)) with (< 0 x)|) (:REWRITE |(<= 1 (* x (/ y))) with (< y 0)|) (:REWRITE |(< 1 (* x (/ y))) with (< y 0)|) (:REWRITE |(<= 1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(< 1 (* x (/ y))) with (< 0 y)|) (:REWRITE |(<= (/ x) y) with (< x 0)|) (:REWRITE |(< (/ x) y) with (< x 0)|) (:REWRITE |(<= (/ x) y) with (< 0 x)|) (:REWRITE |(< (/ x) y) with (< 0 x)|) (:REWRITE |(<= x (/ y)) with (< y 0)|) (:REWRITE |(< x (/ y)) with (< y 0)|) (:REWRITE |(<= x (/ y)) with (< 0 y)|) (:REWRITE |(< x (/ y)) with (< 0 y)|) (:REWRITE |(not (equal (* (/ x) y) -1))|) (:REWRITE |(equal (* (/ x) y) -1)|) (:REWRITE |(not (equal (* x (/ y)) -1))|) (:REWRITE |(equal (* x (/ y)) -1)|) (:REWRITE |(not (equal (* (/ x) y) 1))|) (:REWRITE |(equal (* (/ x) y) 1)|) (:REWRITE |(not (equal (* x (/ y)) 1))|) (:REWRITE |(equal (* x (/ y)) 1)|) (:REWRITE |(not (equal x (- (/ y))))|) (:REWRITE |(equal x (- (/ y)))|) (:REWRITE |(not (equal x (/ y)))|) (:REWRITE |(equal x (/ y))|) (:REWRITE |(< (/ x) (/ y))|) (:REWRITE |(< (- x) (- y))|) (:REWRITE |(< c (/ x)) negative c --- obj t or nil|) (:REWRITE |(< c (/ x)) negative c --- present in goal|) (:REWRITE |(< c (/ x)) positive c --- obj t or nil|) (:REWRITE |(< c (/ x)) positive c --- present in goal|) (:REWRITE |(< (/ x) c) positive c --- obj t or nil|) (:REWRITE |(< (/ x) c) positive c --- present in goal|) (:REWRITE |(< (/ x) c) negative c --- obj t or nil|) (:REWRITE |(< (/ x) c) negative c --- present in goal|) (:REWRITE |(< 0 (/ x))|) (:REWRITE |(< (/ x) 0)|) (:REWRITE |(< c (- x))|) (:REWRITE |(< (- x) c)|) (:REWRITE CONSTANT-<-INTEGERP) (:REWRITE INTEGERP-<-CONSTANT) (:REWRITE |(equal (/ x) (/ y))|) (:REWRITE |(equal (- x) (- y))|) (:REWRITE |(equal c (/ x))|) (:REWRITE |(equal (/ x) c)|) (:REWRITE |(equal c (- x))|) (:REWRITE |(equal (- x) c)|) (:GENERALIZE EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT) (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-ODD-EXPONENT) (:GENERALIZE EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT) (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NONPOSITIVE-BASE-EVEN-EXPONENT) (:GENERALIZE EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT) (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-ODD-EXPONENT) (:GENERALIZE EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT) (:TYPE-PRESCRIPTION EXPT-TYPE-PRESCRIPTION-NEGATIVE-BASE-EVEN-EXPONENT) (:LINEAR EXPT-LINEAR-LOWER-<=) (:LINEAR EXPT-LINEAR-LOWER-<) (:LINEAR EXPT-LINEAR-UPPER-<=) (:LINEAR EXPT-LINEAR-UPPER-<) (:TYPE-PRESCRIPTION MFC-PT) (:EXECUTABLE-COUNTERPART MFC-PT) (:DEFINITION MFC-PT) (:TYPE-PRESCRIPTION MFC-POT-LST) (:EXECUTABLE-COUNTERPART MFC-POT-LST) (:DEFINITION MFC-POT-LST) (:LINEAR EXPT-<=-1-TWO) (:LINEAR EXPT-<-1-TWO) (:LINEAR EXPT-<=-1-ONE) (:LINEAR EXPT-<-1-ONE) (:LINEAR EXPT->=-1-TWO) (:LINEAR EXPT->-1-TWO) (:LINEAR EXPT->=-1-ONE) (:LINEAR EXPT->-1-ONE) (:LINEAR EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1) (:REWRITE EXPT-IS-WEAKLY-DECREASING-FOR-POS-BASE-<-1) (:LINEAR EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1) (:REWRITE EXPT-IS-WEAKLY-INCREASING-FOR-BASE->-1) (:LINEAR EXPT-IS-DECREASING-FOR-POS-BASE-<-1) (:REWRITE EXPT-IS-DECREASING-FOR-POS-BASE-<-1) (:LINEAR EXPT-IS-INCREASING-FOR-BASE->-1) (:REWRITE 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