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 (416 208 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (400 40 (:DEFINITION NTHCDR))
 (240 40 (:REWRITE COMMUTATIVITY-OF-+))
 (236 236 (:REWRITE NTH-WHEN-PREFIXP))
 (233 65 (:REWRITE ZP-OPEN))
 (232 232 (:REWRITE DEFAULT-+-2))
 (232 232 (:REWRITE DEFAULT-+-1))
 (213 35 (:DEFINITION BINARY-APPEND))
 (208 208 (:TYPE-PRESCRIPTION BOOLEANP))
 (168 56 (:REWRITE FOLD-CONSTS-IN-+))
 (166 70 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (164 164 (:REWRITE DEFAULT-CAR))
 (131 131 (:REWRITE DEFAULT-CDR))
 (72 36 (:REWRITE ADE::QUEUE3$IN-ACT-INACTIVE))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (28 14 (:REWRITE ADE::QUEUE3$OUT-ACT-INACTIVE))
 (12 12 (:REWRITE ADE::QUEUE3$INPUT-FORMAT-PLUS))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(ADE::QUEUE3$OUT-SEQ
 (12 6 (:TYPE-PRESCRIPTION ADE::BOOLEANP-QUEUE3$OUT-ACT))
 (6 6 (:TYPE-PRESCRIPTION ADE::QUEUE3$INPUT-FORMAT))
 )
(ADE::QUEUE3$OUT-SEQ-NETLIST)
(ADE::QUEUE3$OUT-SEQ-LEMMA
 (430 46 (:DEFINITION NTHCDR))
 (416 208 (:TYPE-PRESCRIPTION ADE::BOOLEANP-JOINT-ACT))
 (250 250 (:REWRITE NTH-WHEN-PREFIXP))
 (240 40 (:REWRITE COMMUTATIVITY-OF-+))
 (233 65 (:REWRITE ZP-OPEN))
 (232 232 (:REWRITE DEFAULT-+-2))
 (232 232 (:REWRITE DEFAULT-+-1))
 (213 35 (:DEFINITION BINARY-APPEND))
 (208 208 (:TYPE-PRESCRIPTION BOOLEANP))
 (168 56 (:REWRITE FOLD-CONSTS-IN-+))
 (166 70 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (161 161 (:REWRITE DEFAULT-CAR))
 (155 137 (:REWRITE DEFAULT-CDR))
 (72 36 (:REWRITE ADE::QUEUE3$OUT-ACT-INACTIVE))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (29 29 (:REWRITE ADE::QUEUE3$EXTRACT-LEMMA))
 (28 14 (:REWRITE ADE::QUEUE3$IN-ACT-INACTIVE))
 (18 18 (:TYPE-PRESCRIPTION ADE::SE))
 (12 12 (:REWRITE ADE::QUEUE3$INPUT-FORMAT-PLUS))
 (6 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(ADE::QUEUE3$DATAFLOW-CORRECT-AUX
 (175 163 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (53 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (52 2 (:DEFINITION ADE::QUEUE3$IN-SEQ))
 (24 10 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE DEFAULT-CAR))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 4 (:TYPE-PRESCRIPTION ADE::BOOLEANP-QUEUE3$IN-ACT))
 (6 2 (:REWRITE CAR-OF-APPEND))
 (5 5 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:TYPE-PRESCRIPTION ADE::QUEUE3$INPUT-FORMAT))
 (4 4 (:TYPE-PRESCRIPTION ADE::QUEUE3$IN-ACT))
 (4 2 (:REWRITE ADE::QUEUE3$IN-ACT-INACTIVE))
 (2 2 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE NTH-WHEN-PREFIXP))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(ADE::QUEUE3$DATAFLOW-CORRECT
 (473 106 (:REWRITE ZP-OPEN))
 (382 61 (:DEFINITION BINARY-APPEND))
 (275 11 (:DEFINITION NTHCDR))
 (202 147 (:REWRITE DEFAULT-+-2))
 (194 155 (:REWRITE DEFAULT-CDR))
 (192 4 (:REWRITE TAKE-OF-TOO-MANY))
 (189 27 (:DEFINITION LEN))
 (182 2 (:DEFINITION TAKE))
 (162 156 (:REWRITE DEFAULT-CAR))
 (148 127 (:REWRITE DEFAULT-<-2))
 (147 147 (:REWRITE DEFAULT-+-1))
 (137 127 (:REWRITE DEFAULT-<-1))
 (94 27 (:REWRITE FOLD-CONSTS-IN-+))
 (88 4 (:REWRITE ADE::NFIX-OF-NAT))
 (78 43 (:REWRITE ADE::QUEUE3$IN-ACT-INACTIVE))
 (77 11 (:REWRITE COMMUTATIVITY-OF-+))
 (72 4 (:DEFINITION NATP))
 (64 2 (:REWRITE CONSP-OF-TAKE))
 (56 56 (:REWRITE NTH-WHEN-PREFIXP))
 (56 6 (:LINEAR ADE::QUEUE3$EXTRACT-NOT-EMPTY))
 (48 27 (:REWRITE ADE::QUEUE3$OUT-ACT-INACTIVE))
 (32 32 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (28 28 (:TYPE-PRESCRIPTION ADE::QUEUE3$STEP))
 (16 4 (:REWRITE TAKE-WHEN-ATOM))
 (14 2 (:DEFINITION NFIX))
 (12 12 (:REWRITE ADE::QUEUE3$RUN-PLUS))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (10 10 (:REWRITE ADE::QUEUE3$INPUT-FORMAT-PLUS))
 (6 6 (:LINEAR ADE::A-HELPFUL-LEMMA-FOR-TREE-INDUCTIONS))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION ADE::QUEUE3$RUN))
 )
(ADE::QUEUE3$FUNCTIONALLY-CORRECT
 (205 4 (:DEFINITION ADE::QUEUE3$OUT-SEQ))
 (109 4 (:REWRITE ADE::QUEUE3$EXTRACT-LEMMA))
 (104 4 (:DEFINITION ADE::QUEUE3$IN-SEQ))
 (80 32 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (75 3 (:DEFINITION NTHCDR))
 (54 33 (:REWRITE ZP-OPEN))
 (44 44 (:TYPE-PRESCRIPTION ZP))
 (39 30 (:REWRITE DEFAULT-CDR))
 (32 23 (:REWRITE DEFAULT-+-2))
 (30 30 (:TYPE-PRESCRIPTION LEN))
 (24 24 (:REWRITE DEFAULT-CAR))
 (23 23 (:REWRITE DEFAULT-+-1))
 (21 3 (:REWRITE COMMUTATIVITY-OF-+))
 (21 3 (:DEFINITION LEN))
 (20 5 (:REWRITE ADE::OPEN-QUEUE3$INPUT-FORMAT-N-ZP))
 (20 5 (:REWRITE ADE::OPEN-QUEUE3$INPUT-FORMAT-N))
 (16 16 (:TYPE-PRESCRIPTION ADE::QUEUE3$INPUT-FORMAT))
 (16 8 (:TYPE-PRESCRIPTION ADE::BOOLEANP-QUEUE3$OUT-ACT))
 (16 8 (:TYPE-PRESCRIPTION ADE::BOOLEANP-QUEUE3$IN-ACT))
 (12 3 (:REWRITE ADE::OPEN-QUEUE3$RUN-ZP))
 (12 3 (:REWRITE ADE::OPEN-QUEUE3$RUN))
 (12 3 (:REWRITE ADE::OPEN-DE-N-ZP))
 (12 3 (:REWRITE ADE::OPEN-DE-N))
 (12 3 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:TYPE-PRESCRIPTION ADE::QUEUE3$OUT-ACT))
 (8 8 (:TYPE-PRESCRIPTION ADE::QUEUE3$IN-ACT))
 (8 8 (:REWRITE NTH-WHEN-PREFIXP))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 4 (:REWRITE ADE::QUEUE3$OUT-ACT-INACTIVE))
 (8 4 (:REWRITE ADE::QUEUE3$IN-ACT-INACTIVE))
 (6 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:TYPE-PRESCRIPTION ADE::QUEUE3$RUN))
 (3 3 (:TYPE-PRESCRIPTION ADE::DE-N))
 (3 3 (:REWRITE DEFAULT-<-1))
 )