Zipperpin---2.1.9999.THM-Ref.s

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO525+1.018 : TPTP v9.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.abqaMoqF3E true

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 05:07:50 PM UTC 2025

% Result   : Theorem 283.25s 41.33s
% Output   : Refutation 284.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  175
%            Number of leaves      :   21
% Syntax   : Number of formulae    : 2001 ( 178 unt;   0 typ;   0 def)
%            Number of atoms       : 3824 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives : 106887 (1978   ~;1804   |;   0   &;103086   @)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   56 (  47 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   4 con; 0-27 aty)
%            Number of variables   : 33918 (   0   ^;33918   !;   0   ?;33918   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n0_type,type,
    n0: $i ).

thf(n1_type,type,
    n1: $i ).

thf(bin_count_type,type,
    bin_count: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(goal_type,type,
    goal: $o ).

thf(start,axiom,
    bin_count @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ).

thf(zip_derived_cl0,plain,
    bin_count @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0,
    inference(cnf,[status(esa)],[start]) ).

thf(p27,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ n0 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ n1 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p26,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ n0 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ n1 @ n0 ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl2_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p25,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n0 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n1 @ n0 @ n0 ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ n1 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ n0 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p25]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p24,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n0 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n1 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ n0 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p24]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 )
      | ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl3_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl3]) ).

thf(zip_derived_cl2_004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl35_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl2_006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p23,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n0 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n1 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ n0 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p23]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 )
      | ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl6]) ).

thf(zip_derived_cl3_007,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl37,zip_derived_cl3]) ).

thf(zip_derived_cl2_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl83,zip_derived_cl2]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 )
      | ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl95]) ).

thf(zip_derived_cl3_009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl3]) ).

thf(zip_derived_cl2_010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl93_011,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl2_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p22,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p22]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 )
      | ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

thf(zip_derived_cl3_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl38,zip_derived_cl3]) ).

thf(zip_derived_cl2_014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl2]) ).

thf(zip_derived_cl35_015,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl118,zip_derived_cl35]) ).

thf(zip_derived_cl3_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl120,zip_derived_cl3]) ).

thf(zip_derived_cl2_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl138,zip_derived_cl2]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 )
      | ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl140]) ).

thf(zip_derived_cl35_018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl35]) ).

thf(zip_derived_cl3_019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl190,zip_derived_cl3]) ).

thf(zip_derived_cl2_020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl2_021,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(p21,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p21]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 )
      | ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl3_022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl3]) ).

thf(zip_derived_cl2_023,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl87,zip_derived_cl2]) ).

thf(zip_derived_cl35_024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl152,zip_derived_cl35]) ).

thf(zip_derived_cl3_025,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl158,zip_derived_cl3]) ).

thf(zip_derived_cl2_026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl160,zip_derived_cl2]) ).

thf(zip_derived_cl93_027,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl162,zip_derived_cl93]) ).

thf(zip_derived_cl35_028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl196,zip_derived_cl35]) ).

thf(zip_derived_cl3_029,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl210,zip_derived_cl3]) ).

thf(zip_derived_cl2_030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl212,zip_derived_cl2]) ).

thf(zip_derived_cl116_031,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl214,zip_derived_cl116]) ).

thf(zip_derived_cl93_032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl237,zip_derived_cl93]) ).

thf(zip_derived_cl35_033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl239,zip_derived_cl35]) ).

thf(zip_derived_cl3_034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl241,zip_derived_cl3]) ).

thf(zip_derived_cl2_035,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(p20,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p20]) ).

thf(zip_derived_cl2_036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl2]) ).

thf(zip_derived_cl3_037,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl45,zip_derived_cl3]) ).

thf(zip_derived_cl2_038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl108,zip_derived_cl2]) ).

thf(zip_derived_cl35_039,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl180,zip_derived_cl35]) ).

thf(zip_derived_cl3_040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl251,zip_derived_cl3]) ).

thf(zip_derived_cl2_041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl263,zip_derived_cl2]) ).

thf(zip_derived_cl93_042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl265,zip_derived_cl93]) ).

thf(zip_derived_cl35_043,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl283,zip_derived_cl35]) ).

thf(zip_derived_cl3_044,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl285,zip_derived_cl3]) ).

thf(zip_derived_cl2_045,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl287,zip_derived_cl2]) ).

thf(zip_derived_cl116_046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl313,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl289,zip_derived_cl116]) ).

thf(zip_derived_cl93_047,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl313,zip_derived_cl93]) ).

thf(zip_derived_cl35_048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl315,zip_derived_cl35]) ).

thf(zip_derived_cl3_049,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl317,zip_derived_cl3]) ).

thf(zip_derived_cl2_050,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl333,zip_derived_cl2]) ).

thf(zip_derived_cl194_051,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl337,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl335,zip_derived_cl194]) ).

thf(zip_derived_cl116_052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl339,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl337,zip_derived_cl116]) ).

thf(zip_derived_cl93_053,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl360,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl339,zip_derived_cl93]) ).

thf(zip_derived_cl35_054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl362,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl360,zip_derived_cl35]) ).

thf(zip_derived_cl3_055,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl362,zip_derived_cl3]) ).

thf(zip_derived_cl2_056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(p19,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p19]) ).

thf(zip_derived_cl2_057,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl3_058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl47,zip_derived_cl3]) ).

thf(zip_derived_cl2_059,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl2]) ).

thf(zip_derived_cl35_060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl182,zip_derived_cl35]) ).

thf(zip_derived_cl3_061,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl253,zip_derived_cl3]) ).

thf(zip_derived_cl2_062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl327,zip_derived_cl2]) ).

thf(zip_derived_cl93_063,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl382,zip_derived_cl93]) ).

thf(zip_derived_cl35_064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl384,zip_derived_cl35]) ).

thf(zip_derived_cl3_065,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl386,zip_derived_cl3]) ).

thf(zip_derived_cl2_066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl406,zip_derived_cl2]) ).

thf(zip_derived_cl116_067,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl408,zip_derived_cl116]) ).

thf(zip_derived_cl93_068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl410,zip_derived_cl93]) ).

thf(zip_derived_cl35_069,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl35]) ).

thf(zip_derived_cl3_070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl430,zip_derived_cl3]) ).

thf(zip_derived_cl2_071,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl432,zip_derived_cl2]) ).

thf(zip_derived_cl194_072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl434,zip_derived_cl194]) ).

thf(zip_derived_cl116_073,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl458,zip_derived_cl116]) ).

thf(zip_derived_cl93_074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl460,zip_derived_cl93]) ).

thf(zip_derived_cl35_075,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl462,zip_derived_cl35]) ).

thf(zip_derived_cl3_076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl480,zip_derived_cl3]) ).

thf(zip_derived_cl2_077,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl484,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl482,zip_derived_cl2]) ).

thf(zip_derived_cl261_078,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl484,zip_derived_cl261]) ).

thf(zip_derived_cl194_079,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl194]) ).

thf(zip_derived_cl116_080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl116]) ).

thf(zip_derived_cl93_081,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl508,zip_derived_cl93]) ).

thf(zip_derived_cl35_082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl510,zip_derived_cl35]) ).

thf(zip_derived_cl3_083,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl528,zip_derived_cl3]) ).

thf(zip_derived_cl2_084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(p18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p18]) ).

thf(zip_derived_cl2_085,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl2]) ).

thf(zip_derived_cl3_086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl49,zip_derived_cl3]) ).

thf(zip_derived_cl2_087,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl128,zip_derived_cl2]) ).

thf(zip_derived_cl35_088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl200,zip_derived_cl35]) ).

thf(zip_derived_cl3_089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl269,zip_derived_cl3]) ).

thf(zip_derived_cl2_090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl370,zip_derived_cl2]) ).

thf(zip_derived_cl93_091,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl474,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl416,zip_derived_cl93]) ).

thf(zip_derived_cl35_092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl474,zip_derived_cl35]) ).

thf(zip_derived_cl3_093,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl520,zip_derived_cl3]) ).

thf(zip_derived_cl2_094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl552,zip_derived_cl2]) ).

thf(zip_derived_cl116_095,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl116]) ).

thf(zip_derived_cl93_096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl556,zip_derived_cl93]) ).

thf(zip_derived_cl35_097,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl558,zip_derived_cl35]) ).

thf(zip_derived_cl3_098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl580,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl3]) ).

thf(zip_derived_cl2_099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl582,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl2]) ).

thf(zip_derived_cl194_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl607,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl582,zip_derived_cl194]) ).

thf(zip_derived_cl116_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl607,zip_derived_cl116]) ).

thf(zip_derived_cl93_102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl609,zip_derived_cl93]) ).

thf(zip_derived_cl35_103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl611,zip_derived_cl35]) ).

thf(zip_derived_cl3_104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl629,zip_derived_cl3]) ).

thf(zip_derived_cl2_105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl631,zip_derived_cl2]) ).

thf(zip_derived_cl261_106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl651,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl633,zip_derived_cl261]) ).

thf(zip_derived_cl194_107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl651,zip_derived_cl194]) ).

thf(zip_derived_cl116_108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl653,zip_derived_cl116]) ).

thf(zip_derived_cl93_109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl655,zip_derived_cl93]) ).

thf(zip_derived_cl35_110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl675,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl657,zip_derived_cl35]) ).

thf(zip_derived_cl3_111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl675,zip_derived_cl3]) ).

thf(zip_derived_cl2_112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl679,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl677,zip_derived_cl2]) ).

thf(zip_derived_cl380_113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl679,zip_derived_cl380]) ).

thf(zip_derived_cl261_114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl699,zip_derived_cl261]) ).

thf(zip_derived_cl194_115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl701,zip_derived_cl194]) ).

thf(zip_derived_cl116_116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl703,zip_derived_cl116]) ).

thf(zip_derived_cl93_117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl705,zip_derived_cl93]) ).

thf(zip_derived_cl35_118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl723,zip_derived_cl35]) ).

thf(zip_derived_cl3_119,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl725,zip_derived_cl3]) ).

thf(zip_derived_cl2_120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl3_121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(p17,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p17]) ).

thf(zip_derived_cl2_122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl2]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 )
      | ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl51]) ).

thf(zip_derived_cl2_123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl2]) ).

thf(zip_derived_cl35_124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl146,zip_derived_cl35]) ).

thf(zip_derived_cl3_125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl204,zip_derived_cl3]) ).

thf(zip_derived_cl2_126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl273,zip_derived_cl2]) ).

thf(zip_derived_cl93_127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl374,zip_derived_cl93]) ).

thf(zip_derived_cl35_128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl420,zip_derived_cl35]) ).

thf(zip_derived_cl3_129,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl492,zip_derived_cl3]) ).

thf(zip_derived_cl2_130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl566,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl538,zip_derived_cl2]) ).

thf(zip_derived_cl116_131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl621,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl566,zip_derived_cl116]) ).

thf(zip_derived_cl93_132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl665,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl621,zip_derived_cl93]) ).

thf(zip_derived_cl35_133,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl665,zip_derived_cl35]) ).

thf(zip_derived_cl3_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl689,zip_derived_cl3]) ).

thf(zip_derived_cl2_135,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl739,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl717,zip_derived_cl2]) ).

thf(zip_derived_cl194_136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl739,zip_derived_cl194]) ).

thf(zip_derived_cl116_137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl751,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl749,zip_derived_cl116]) ).

thf(zip_derived_cl93_138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl751,zip_derived_cl93]) ).

thf(zip_derived_cl35_139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl765,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl753,zip_derived_cl35]) ).

thf(zip_derived_cl3_140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl765,zip_derived_cl3]) ).

thf(zip_derived_cl2_141,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl773,zip_derived_cl2]) ).

thf(zip_derived_cl261_142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl777,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl775,zip_derived_cl261]) ).

thf(zip_derived_cl194_143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl805,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl777,zip_derived_cl194]) ).

thf(zip_derived_cl116_144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl807,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl805,zip_derived_cl116]) ).

thf(zip_derived_cl93_145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl827,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl807,zip_derived_cl93]) ).

thf(zip_derived_cl35_146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl827,zip_derived_cl35]) ).

thf(zip_derived_cl3_147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl829,zip_derived_cl3]) ).

thf(zip_derived_cl2_148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl833,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl831,zip_derived_cl2]) ).

thf(zip_derived_cl380_149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl833,zip_derived_cl380]) ).

thf(zip_derived_cl261_150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl853,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl851,zip_derived_cl261]) ).

thf(zip_derived_cl194_151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl855,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl853,zip_derived_cl194]) ).

thf(zip_derived_cl116_152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl875,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl855,zip_derived_cl116]) ).

thf(zip_derived_cl93_153,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl877,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl875,zip_derived_cl93]) ).

thf(zip_derived_cl35_154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl877,zip_derived_cl35]) ).

thf(zip_derived_cl3_155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl881,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl879,zip_derived_cl3]) ).

thf(zip_derived_cl2_156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl899,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl881,zip_derived_cl2]) ).

thf(zip_derived_cl532_157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl901,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl899,zip_derived_cl532]) ).

thf(zip_derived_cl380_158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl903,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl901,zip_derived_cl380]) ).

thf(zip_derived_cl261_159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl921,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl903,zip_derived_cl261]) ).

thf(zip_derived_cl194_160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl921,zip_derived_cl194]) ).

thf(zip_derived_cl116_161,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl923,zip_derived_cl116]) ).

thf(zip_derived_cl93_162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl927,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl925,zip_derived_cl93]) ).

thf(zip_derived_cl35_163,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl927,zip_derived_cl35]) ).

thf(zip_derived_cl3_164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl945,zip_derived_cl3]) ).

thf(zip_derived_cl2_165,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl3_166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(p16,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p16]) ).

thf(zip_derived_cl2_167,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl2]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 )
      | ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl53]) ).

thf(zip_derived_cl2_168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl70,zip_derived_cl2]) ).

thf(zip_derived_cl35_169,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl148,zip_derived_cl35]) ).

thf(zip_derived_cl3_170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl229,zip_derived_cl3]) ).

thf(zip_derived_cl2_171,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl305,zip_derived_cl2]) ).

thf(zip_derived_cl93_172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl394,zip_derived_cl93]) ).

thf(zip_derived_cl35_173,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl468,zip_derived_cl35]) ).

thf(zip_derived_cl3_174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl496,zip_derived_cl3]) ).

thf(zip_derived_cl2_175,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl540,zip_derived_cl2]) ).

thf(zip_derived_cl116_176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl568,zip_derived_cl116]) ).

thf(zip_derived_cl93_177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl637,zip_derived_cl93]) ).

thf(zip_derived_cl35_178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl667,zip_derived_cl35]) ).

thf(zip_derived_cl3_179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl691,zip_derived_cl3]) ).

thf(zip_derived_cl2_180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl733,zip_derived_cl2]) ).

thf(zip_derived_cl194_181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl194]) ).

thf(zip_derived_cl116_182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl813,zip_derived_cl116]) ).

thf(zip_derived_cl93_183,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl867,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl841,zip_derived_cl93]) ).

thf(zip_derived_cl35_184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl891,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl867,zip_derived_cl35]) ).

thf(zip_derived_cl3_185,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl915,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl891,zip_derived_cl3]) ).

thf(zip_derived_cl2_186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl915,zip_derived_cl2]) ).

thf(zip_derived_cl261_187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl937,zip_derived_cl261]) ).

thf(zip_derived_cl194_188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl951,zip_derived_cl194]) ).

thf(zip_derived_cl116_189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl971,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl961,zip_derived_cl116]) ).

thf(zip_derived_cl93_190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl973,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl971,zip_derived_cl93]) ).

thf(zip_derived_cl35_191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl975,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl973,zip_derived_cl35]) ).

thf(zip_derived_cl3_192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl975,zip_derived_cl3]) ).

thf(zip_derived_cl2_193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl977,zip_derived_cl2]) ).

thf(zip_derived_cl380_194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1024,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1006,zip_derived_cl380]) ).

thf(zip_derived_cl261_195,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1026,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1024,zip_derived_cl261]) ).

thf(zip_derived_cl194_196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1028,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1026,zip_derived_cl194]) ).

thf(zip_derived_cl116_197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1030,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1028,zip_derived_cl116]) ).

thf(zip_derived_cl93_198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1048,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1030,zip_derived_cl93]) ).

thf(zip_derived_cl35_199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1050,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1048,zip_derived_cl35]) ).

thf(zip_derived_cl3_200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1052,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1050,zip_derived_cl3]) ).

thf(zip_derived_cl2_201,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1072,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1052,zip_derived_cl2]) ).

thf(zip_derived_cl532_202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1074,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1072,zip_derived_cl532]) ).

thf(zip_derived_cl380_203,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1076,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1074,zip_derived_cl380]) ).

thf(zip_derived_cl261_204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1078,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1076,zip_derived_cl261]) ).

thf(zip_derived_cl194_205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1096,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1078,zip_derived_cl194]) ).

thf(zip_derived_cl116_206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1096,zip_derived_cl116]) ).

thf(zip_derived_cl93_207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1098,zip_derived_cl93]) ).

thf(zip_derived_cl35_208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1100,zip_derived_cl35]) ).

thf(zip_derived_cl3_209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1120,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1112,zip_derived_cl3]) ).

thf(zip_derived_cl2_210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1120,zip_derived_cl2]) ).

thf(zip_derived_cl747_211,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1122,zip_derived_cl747]) ).

thf(zip_derived_cl532_212,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1124,zip_derived_cl532]) ).

thf(zip_derived_cl380_213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1126,zip_derived_cl380]) ).

thf(zip_derived_cl261_214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1134,zip_derived_cl261]) ).

thf(zip_derived_cl194_215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1144,zip_derived_cl194]) ).

thf(zip_derived_cl116_216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1146,zip_derived_cl116]) ).

thf(zip_derived_cl93_217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1148,zip_derived_cl93]) ).

thf(zip_derived_cl35_218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1150,zip_derived_cl35]) ).

thf(zip_derived_cl3_219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1160,zip_derived_cl3]) ).

thf(zip_derived_cl2_220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl3_221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(p15,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p15]) ).

thf(zip_derived_cl2_222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl2]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 )
      | ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl55]) ).

thf(zip_derived_cl2_223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl71,zip_derived_cl2]) ).

thf(zip_derived_cl35_224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl150,zip_derived_cl35]) ).

thf(zip_derived_cl3_225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl3]) ).

thf(zip_derived_cl2_226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl323,zip_derived_cl2]) ).

thf(zip_derived_cl93_227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl470,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl396,zip_derived_cl93]) ).

thf(zip_derived_cl35_228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl470,zip_derived_cl35]) ).

thf(zip_derived_cl3_229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl516,zip_derived_cl3]) ).

thf(zip_derived_cl2_230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl542,zip_derived_cl2]) ).

thf(zip_derived_cl116_231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl570,zip_derived_cl116]) ).

thf(zip_derived_cl93_232,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl639,zip_derived_cl93]) ).

thf(zip_derived_cl35_233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl669,zip_derived_cl35]) ).

thf(zip_derived_cl3_234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl711,zip_derived_cl3]) ).

thf(zip_derived_cl2_235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl735,zip_derived_cl2]) ).

thf(zip_derived_cl194_236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl761,zip_derived_cl194]) ).

thf(zip_derived_cl116_237,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl815,zip_derived_cl116]) ).

thf(zip_derived_cl93_238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl885,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl843,zip_derived_cl93]) ).

thf(zip_derived_cl35_239,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl909,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl885,zip_derived_cl35]) ).

thf(zip_derived_cl3_240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl909,zip_derived_cl3]) ).

thf(zip_derived_cl2_241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl261_242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl957,zip_derived_cl261]) ).

thf(zip_derived_cl194_243,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1040,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1012,zip_derived_cl194]) ).

thf(zip_derived_cl116_244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1062,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1040,zip_derived_cl116]) ).

thf(zip_derived_cl93_245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1088,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1062,zip_derived_cl93]) ).

thf(zip_derived_cl35_246,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1088,zip_derived_cl35]) ).

thf(zip_derived_cl3_247,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1108,zip_derived_cl3]) ).

thf(zip_derived_cl2_248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1130,zip_derived_cl2]) ).

thf(zip_derived_cl380_249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1156,zip_derived_cl380]) ).

thf(zip_derived_cl261_250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1174,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1172,zip_derived_cl261]) ).

thf(zip_derived_cl194_251,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1182,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1174,zip_derived_cl194]) ).

thf(zip_derived_cl116_252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1194,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1182,zip_derived_cl116]) ).

thf(zip_derived_cl93_253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1196,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1194,zip_derived_cl93]) ).

thf(zip_derived_cl35_254,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1196,zip_derived_cl35]) ).

thf(zip_derived_cl3_255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1200,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1198,zip_derived_cl3]) ).

thf(zip_derived_cl2_256,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1230,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1200,zip_derived_cl2]) ).

thf(zip_derived_cl532_257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1230,zip_derived_cl532]) ).

thf(zip_derived_cl380_258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1252,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1250,zip_derived_cl380]) ).

thf(zip_derived_cl261_259,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1254,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1252,zip_derived_cl261]) ).

thf(zip_derived_cl194_260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1256,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1254,zip_derived_cl194]) ).

thf(zip_derived_cl116_261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1256,zip_derived_cl116]) ).

thf(zip_derived_cl93_262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1272,zip_derived_cl93]) ).

thf(zip_derived_cl35_263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1276,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1274,zip_derived_cl35]) ).

thf(zip_derived_cl3_264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1276,zip_derived_cl3]) ).

thf(zip_derived_cl2_265,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1288,zip_derived_cl2]) ).

thf(zip_derived_cl747_266,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1296,zip_derived_cl747]) ).

thf(zip_derived_cl532_267,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1298,zip_derived_cl532]) ).

thf(zip_derived_cl380_268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1312,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1300,zip_derived_cl380]) ).

thf(zip_derived_cl261_269,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1312,zip_derived_cl261]) ).

thf(zip_derived_cl194_270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1318,zip_derived_cl194]) ).

thf(zip_derived_cl116_271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1320,zip_derived_cl116]) ).

thf(zip_derived_cl93_272,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1322,zip_derived_cl93]) ).

thf(zip_derived_cl35_273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1324,zip_derived_cl35]) ).

thf(zip_derived_cl3_274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1344,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1334,zip_derived_cl3]) ).

thf(zip_derived_cl2_275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1346,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1344,zip_derived_cl2]) ).

thf(zip_derived_cl949_276,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1348,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1346,zip_derived_cl949]) ).

thf(zip_derived_cl747_277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1348,zip_derived_cl747]) ).

thf(zip_derived_cl532_278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1350,zip_derived_cl532]) ).

thf(zip_derived_cl380_279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1356,zip_derived_cl380]) ).

thf(zip_derived_cl261_280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1366,zip_derived_cl261]) ).

thf(zip_derived_cl194_281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1368,zip_derived_cl194]) ).

thf(zip_derived_cl116_282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1370,zip_derived_cl116]) ).

thf(zip_derived_cl93_283,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1372,zip_derived_cl93]) ).

thf(zip_derived_cl35_284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1390,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1380,zip_derived_cl35]) ).

thf(zip_derived_cl3_285,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1390,zip_derived_cl3]) ).

thf(zip_derived_cl2_286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(p14,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p14]) ).

thf(zip_derived_cl2_287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl2]) ).

thf(zip_derived_cl3_288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl57,zip_derived_cl3]) ).

thf(zip_derived_cl2_289,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl130,zip_derived_cl2]) ).

thf(zip_derived_cl35_290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl202,zip_derived_cl35]) ).

thf(zip_derived_cl3_291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl271,zip_derived_cl3]) ).

thf(zip_derived_cl2_292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl372,zip_derived_cl2]) ).

thf(zip_derived_cl93_293,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl418,zip_derived_cl93]) ).

thf(zip_derived_cl35_294,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl522,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl490,zip_derived_cl35]) ).

thf(zip_derived_cl3_295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl522,zip_derived_cl3]) ).

thf(zip_derived_cl2_296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl564,zip_derived_cl2]) ).

thf(zip_derived_cl116_297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl663,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl619,zip_derived_cl116]) ).

thf(zip_derived_cl93_298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl663,zip_derived_cl93]) ).

thf(zip_derived_cl35_299,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl687,zip_derived_cl35]) ).

thf(zip_derived_cl3_300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl715,zip_derived_cl3]) ).

thf(zip_derived_cl2_301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl737,zip_derived_cl2]) ).

thf(zip_derived_cl194_302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl763,zip_derived_cl194]) ).

thf(zip_derived_cl116_303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl817,zip_derived_cl116]) ).

thf(zip_derived_cl93_304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl861,zip_derived_cl93]) ).

thf(zip_derived_cl35_305,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl911,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl887,zip_derived_cl35]) ).

thf(zip_derived_cl3_306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl935,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl911,zip_derived_cl3]) ).

thf(zip_derived_cl2_307,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl935,zip_derived_cl2]) ).

thf(zip_derived_cl261_308,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1014,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl959,zip_derived_cl261]) ).

thf(zip_derived_cl194_309,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1042,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1014,zip_derived_cl194]) ).

thf(zip_derived_cl116_310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1064,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1042,zip_derived_cl116]) ).

thf(zip_derived_cl93_311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1090,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1064,zip_derived_cl93]) ).

thf(zip_derived_cl35_312,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1090,zip_derived_cl35]) ).

thf(zip_derived_cl3_313,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1110,zip_derived_cl3]) ).

thf(zip_derived_cl2_314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1158,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1132,zip_derived_cl2]) ).

thf(zip_derived_cl380_315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1180,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1158,zip_derived_cl380]) ).

thf(zip_derived_cl261_316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1180,zip_derived_cl261]) ).

thf(zip_derived_cl194_317,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1186,zip_derived_cl194]) ).

thf(zip_derived_cl116_318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1236,zip_derived_cl116]) ).

thf(zip_derived_cl93_319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1262,zip_derived_cl93]) ).

thf(zip_derived_cl35_320,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1308,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1284,zip_derived_cl35]) ).

thf(zip_derived_cl3_321,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1308,zip_derived_cl3]) ).

thf(zip_derived_cl2_322,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1332,zip_derived_cl2]) ).

thf(zip_derived_cl532_323,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1354,zip_derived_cl532]) ).

thf(zip_derived_cl380_324,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1378,zip_derived_cl380]) ).

thf(zip_derived_cl261_325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1382,zip_derived_cl261]) ).

thf(zip_derived_cl194_326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1384,zip_derived_cl194]) ).

thf(zip_derived_cl116_327,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1386,zip_derived_cl116]) ).

thf(zip_derived_cl93_328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1388,zip_derived_cl93]) ).

thf(zip_derived_cl35_329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1396,zip_derived_cl35]) ).

thf(zip_derived_cl3_330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1427,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1398,zip_derived_cl3]) ).

thf(zip_derived_cl2_331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1427,zip_derived_cl2]) ).

thf(zip_derived_cl747_332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1445,zip_derived_cl747]) ).

thf(zip_derived_cl532_333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1447,zip_derived_cl532]) ).

thf(zip_derived_cl380_334,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1449,zip_derived_cl380]) ).

thf(zip_derived_cl261_335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1451,zip_derived_cl261]) ).

thf(zip_derived_cl194_336,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1469,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1463,zip_derived_cl194]) ).

thf(zip_derived_cl116_337,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1469,zip_derived_cl116]) ).

thf(zip_derived_cl93_338,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1471,zip_derived_cl93]) ).

thf(zip_derived_cl35_339,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1473,zip_derived_cl35]) ).

thf(zip_derived_cl3_340,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1493,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1483,zip_derived_cl3]) ).

thf(zip_derived_cl2_341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1493,zip_derived_cl2]) ).

thf(zip_derived_cl949_342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1495,zip_derived_cl949]) ).

thf(zip_derived_cl747_343,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1497,zip_derived_cl747]) ).

thf(zip_derived_cl532_344,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1499,zip_derived_cl532]) ).

thf(zip_derived_cl380_345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1509,zip_derived_cl380]) ).

thf(zip_derived_cl261_346,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1517,zip_derived_cl261]) ).

thf(zip_derived_cl194_347,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1521,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1519,zip_derived_cl194]) ).

thf(zip_derived_cl116_348,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1521,zip_derived_cl116]) ).

thf(zip_derived_cl93_349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1523,zip_derived_cl93]) ).

thf(zip_derived_cl35_350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1541,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1531,zip_derived_cl35]) ).

thf(zip_derived_cl3_351,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1541,zip_derived_cl3]) ).

thf(zip_derived_cl2_352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1543,zip_derived_cl2]) ).

thf(zip_derived_cl1170_353,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1545,zip_derived_cl1170]) ).

thf(zip_derived_cl949_354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1547,zip_derived_cl949]) ).

thf(zip_derived_cl747_355,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1553,zip_derived_cl747]) ).

thf(zip_derived_cl532_356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1557,zip_derived_cl532]) ).

thf(zip_derived_cl380_357,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1565,zip_derived_cl380]) ).

thf(zip_derived_cl261_358,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1569,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1567,zip_derived_cl261]) ).

thf(zip_derived_cl194_359,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1569,zip_derived_cl194]) ).

thf(zip_derived_cl116_360,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1575,zip_derived_cl116]) ).

thf(zip_derived_cl93_361,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1577,zip_derived_cl93]) ).

thf(zip_derived_cl35_362,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1579,zip_derived_cl35]) ).

thf(zip_derived_cl3_363,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1583,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1581,zip_derived_cl3]) ).

thf(zip_derived_cl2_364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1394_365,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1170_366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(p13,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p13]) ).

thf(zip_derived_cl2_367,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).

thf(zip_derived_cl3_368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl59,zip_derived_cl3]) ).

thf(zip_derived_cl2_369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl132,zip_derived_cl2]) ).

thf(zip_derived_cl35_370,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl164,zip_derived_cl35]) ).

thf(zip_derived_cl3_371,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl166,zip_derived_cl3]) ).

thf(zip_derived_cl2_372,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl325,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl2]) ).

thf(zip_derived_cl93_373,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl325,zip_derived_cl93]) ).

thf(zip_derived_cl35_374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl35]) ).

thf(zip_derived_cl3_375,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl472,zip_derived_cl3]) ).

thf(zip_derived_cl2_376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl544,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl518,zip_derived_cl2]) ).

thf(zip_derived_cl116_377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl617,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl544,zip_derived_cl116]) ).

thf(zip_derived_cl93_378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl617,zip_derived_cl93]) ).

thf(zip_derived_cl35_379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl643,zip_derived_cl35]) ).

thf(zip_derived_cl3_380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl685,zip_derived_cl3]) ).

thf(zip_derived_cl2_381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl713,zip_derived_cl2]) ).

thf(zip_derived_cl194_382,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl721,zip_derived_cl194]) ).

thf(zip_derived_cl116_383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl729,zip_derived_cl116]) ).

thf(zip_derived_cl93_384,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl731,zip_derived_cl93]) ).

thf(zip_derived_cl35_385,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl741,zip_derived_cl35]) ).

thf(zip_derived_cl3_386,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl743,zip_derived_cl3]) ).

thf(zip_derived_cl2_387,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl745,zip_derived_cl2]) ).

thf(zip_derived_cl261_388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl757,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl755,zip_derived_cl261]) ).

thf(zip_derived_cl194_389,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl757,zip_derived_cl194]) ).

thf(zip_derived_cl116_390,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl767,zip_derived_cl116]) ).

thf(zip_derived_cl93_391,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl93]) ).

thf(zip_derived_cl35_392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl771,zip_derived_cl35]) ).

thf(zip_derived_cl3_393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl779,zip_derived_cl3]) ).

thf(zip_derived_cl2_394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl819,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl781,zip_derived_cl2]) ).

thf(zip_derived_cl380_395,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl819,zip_derived_cl380]) ).

thf(zip_derived_cl261_396,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl889,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl863,zip_derived_cl261]) ).

thf(zip_derived_cl194_397,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl889,zip_derived_cl194]) ).

thf(zip_derived_cl116_398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl919,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl913,zip_derived_cl116]) ).

thf(zip_derived_cl93_399,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl929,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl919,zip_derived_cl93]) ).

thf(zip_derived_cl35_400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl931,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl929,zip_derived_cl35]) ).

thf(zip_derived_cl3_401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl939,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl931,zip_derived_cl3]) ).

thf(zip_derived_cl2_402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl939,zip_derived_cl2]) ).

thf(zip_derived_cl532_403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl943,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl941,zip_derived_cl532]) ).

thf(zip_derived_cl380_404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl953,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl943,zip_derived_cl380]) ).

thf(zip_derived_cl261_405,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl953,zip_derived_cl261]) ).

thf(zip_derived_cl194_406,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl955,zip_derived_cl194]) ).

thf(zip_derived_cl116_407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl963,zip_derived_cl116]) ).

thf(zip_derived_cl93_408,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl967,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl965,zip_derived_cl93]) ).

thf(zip_derived_cl35_409,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl967,zip_derived_cl35]) ).

thf(zip_derived_cl3_410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl979,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl969,zip_derived_cl3]) ).

thf(zip_derived_cl2_411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl981,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl979,zip_derived_cl2]) ).

thf(zip_derived_cl747_412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl981,zip_derived_cl747]) ).

thf(zip_derived_cl532_413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1058,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1016,zip_derived_cl532]) ).

thf(zip_derived_cl380_414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1084,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1058,zip_derived_cl380]) ).

thf(zip_derived_cl261_415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1084,zip_derived_cl261]) ).

thf(zip_derived_cl194_416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1128,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1106,zip_derived_cl194]) ).

thf(zip_derived_cl116_417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1128,zip_derived_cl116]) ).

thf(zip_derived_cl93_418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1136,zip_derived_cl93]) ).

thf(zip_derived_cl35_419,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1138,zip_derived_cl35]) ).

thf(zip_derived_cl3_420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1140,zip_derived_cl3]) ).

thf(zip_derived_cl2_421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1152,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1142,zip_derived_cl2]) ).

thf(zip_derived_cl949_422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1152,zip_derived_cl949]) ).

thf(zip_derived_cl747_423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1162,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1154,zip_derived_cl747]) ).

thf(zip_derived_cl532_424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1164,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1162,zip_derived_cl532]) ).

thf(zip_derived_cl380_425,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1166,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1164,zip_derived_cl380]) ).

thf(zip_derived_cl261_426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1166,zip_derived_cl261]) ).

thf(zip_derived_cl194_427,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1176,zip_derived_cl194]) ).

thf(zip_derived_cl116_428,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1178,zip_derived_cl116]) ).

thf(zip_derived_cl93_429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1184,zip_derived_cl93]) ).

thf(zip_derived_cl35_430,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1188,zip_derived_cl35]) ).

thf(zip_derived_cl3_431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1192,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1190,zip_derived_cl3]) ).

thf(zip_derived_cl2_432,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1202,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1192,zip_derived_cl2]) ).

thf(zip_derived_cl1208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1202]) ).

thf(zip_derived_cl949_433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1208,zip_derived_cl949]) ).

thf(zip_derived_cl747_434,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1282,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1242,zip_derived_cl747]) ).

thf(zip_derived_cl532_435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1282,zip_derived_cl532]) ).

thf(zip_derived_cl380_436,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1306,zip_derived_cl380]) ).

thf(zip_derived_cl261_437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1330,zip_derived_cl261]) ).

thf(zip_derived_cl194_438,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1358,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1352,zip_derived_cl194]) ).

thf(zip_derived_cl116_439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1360,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1358,zip_derived_cl116]) ).

thf(zip_derived_cl93_440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1362,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1360,zip_derived_cl93]) ).

thf(zip_derived_cl35_441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1364,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1362,zip_derived_cl35]) ).

thf(zip_derived_cl3_442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1374,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1364,zip_derived_cl3]) ).

thf(zip_derived_cl2_443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1374,zip_derived_cl2]) ).

thf(zip_derived_cl1404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1376]) ).

thf(zip_derived_cl1170_444,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1437,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1404,zip_derived_cl1170]) ).

thf(zip_derived_cl949_445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1437,zip_derived_cl949]) ).

thf(zip_derived_cl747_446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1461,zip_derived_cl747]) ).

thf(zip_derived_cl532_447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1481,zip_derived_cl532]) ).

thf(zip_derived_cl380_448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1507,zip_derived_cl380]) ).

thf(zip_derived_cl261_449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1529,zip_derived_cl261]) ).

thf(zip_derived_cl194_450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1551,zip_derived_cl194]) ).

thf(zip_derived_cl116_451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1555,zip_derived_cl116]) ).

thf(zip_derived_cl93_452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1559,zip_derived_cl93]) ).

thf(zip_derived_cl35_453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1561,zip_derived_cl35]) ).

thf(zip_derived_cl3_454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1563,zip_derived_cl3]) ).

thf(zip_derived_cl2_455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1585_456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1394_457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1170_458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl949_459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl747_460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl93_461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(p12,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p12]) ).

thf(zip_derived_cl2_462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl2]) ).

thf(zip_derived_cl3_463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl61,zip_derived_cl3]) ).

thf(zip_derived_cl2_464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl136,zip_derived_cl2]) ).

thf(zip_derived_cl35_465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl144,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl142,zip_derived_cl35]) ).

thf(zip_derived_cl3_466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl154,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl144,zip_derived_cl3]) ).

thf(zip_derived_cl2_467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl156,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl154,zip_derived_cl2]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl156]) ).

thf(zip_derived_cl35_468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl172,zip_derived_cl35]) ).

thf(zip_derived_cl3_469,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl216,zip_derived_cl3]) ).

thf(zip_derived_cl2_470,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl275,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl218,zip_derived_cl2]) ).

thf(zip_derived_cl116_471,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl277,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl275,zip_derived_cl116]) ).

thf(zip_derived_cl93_472,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl279,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl277,zip_derived_cl93]) ).

thf(zip_derived_cl35_473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl279,zip_derived_cl35]) ).

thf(zip_derived_cl3_474,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl281,zip_derived_cl3]) ).

thf(zip_derived_cl2_475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl291,zip_derived_cl2]) ).

thf(zip_derived_cl194_476,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl392,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl293,zip_derived_cl194]) ).

thf(zip_derived_cl116_477,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl392,zip_derived_cl116]) ).

thf(zip_derived_cl93_478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl422,zip_derived_cl93]) ).

thf(zip_derived_cl35_479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl424,zip_derived_cl35]) ).

thf(zip_derived_cl3_480,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl436,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl426,zip_derived_cl3]) ).

thf(zip_derived_cl2_481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl438,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl436,zip_derived_cl2]) ).

thf(zip_derived_cl261_482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl494,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl438,zip_derived_cl261]) ).

thf(zip_derived_cl194_483,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl494,zip_derived_cl194]) ).

thf(zip_derived_cl116_484,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl524,zip_derived_cl116]) ).

thf(zip_derived_cl93_485,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl526,zip_derived_cl93]) ).

thf(zip_derived_cl35_486,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl534,zip_derived_cl35]) ).

thf(zip_derived_cl3_487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl536,zip_derived_cl3]) ).

thf(zip_derived_cl2_488,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl548,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl546,zip_derived_cl2]) ).

thf(zip_derived_cl380_489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl548,zip_derived_cl380]) ).

thf(zip_derived_cl261_490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl550,zip_derived_cl261]) ).

thf(zip_derived_cl194_491,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl560,zip_derived_cl194]) ).

thf(zip_derived_cl116_492,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl572,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl562,zip_derived_cl116]) ).

thf(zip_derived_cl93_493,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl572,zip_derived_cl93]) ).

thf(zip_derived_cl35_494,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl574,zip_derived_cl35]) ).

thf(zip_derived_cl3_495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl576,zip_derived_cl3]) ).

thf(zip_derived_cl2_496,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl584,zip_derived_cl2]) ).

thf(zip_derived_cl532_497,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl586,zip_derived_cl532]) ).

thf(zip_derived_cl380_498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl641,zip_derived_cl380]) ).

thf(zip_derived_cl261_499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl683,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl681,zip_derived_cl261]) ).

thf(zip_derived_cl194_500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl683,zip_derived_cl194]) ).

thf(zip_derived_cl116_501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl693,zip_derived_cl116]) ).

thf(zip_derived_cl93_502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl695,zip_derived_cl93]) ).

thf(zip_derived_cl35_503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl697,zip_derived_cl35]) ).

thf(zip_derived_cl3_504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl707,zip_derived_cl3]) ).

thf(zip_derived_cl2_505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl709,zip_derived_cl2]) ).

thf(zip_derived_cl786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl719]) ).

thf(zip_derived_cl532_506,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl839,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl786,zip_derived_cl532]) ).

thf(zip_derived_cl380_507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl839,zip_derived_cl380]) ).

thf(zip_derived_cl261_508,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl883,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl865,zip_derived_cl261]) ).

thf(zip_derived_cl194_509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl883,zip_derived_cl194]) ).

thf(zip_derived_cl116_510,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl893,zip_derived_cl116]) ).

thf(zip_derived_cl93_511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl897,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl895,zip_derived_cl93]) ).

thf(zip_derived_cl35_512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl897,zip_derived_cl35]) ).

thf(zip_derived_cl3_513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl907,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl3]) ).

thf(zip_derived_cl2_514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl917,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl907,zip_derived_cl2]) ).

thf(zip_derived_cl986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl917]) ).

thf(zip_derived_cl747_515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1038,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl986,zip_derived_cl747]) ).

thf(zip_derived_cl532_516,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1060,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1038,zip_derived_cl532]) ).

thf(zip_derived_cl380_517,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1086,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1060,zip_derived_cl380]) ).

thf(zip_derived_cl261_518,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1092,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1086,zip_derived_cl261]) ).

thf(zip_derived_cl194_519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1092,zip_derived_cl194]) ).

thf(zip_derived_cl116_520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1094,zip_derived_cl116]) ).

thf(zip_derived_cl93_521,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1102,zip_derived_cl93]) ).

thf(zip_derived_cl35_522,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1104,zip_derived_cl35]) ).

thf(zip_derived_cl3_523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1116,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1114,zip_derived_cl3]) ).

thf(zip_derived_cl2_524,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1118,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1116,zip_derived_cl2]) ).

thf(zip_derived_cl1207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1118]) ).

thf(zip_derived_cl949_525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1207,zip_derived_cl949]) ).

thf(zip_derived_cl747_526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1266,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1240,zip_derived_cl747]) ).

thf(zip_derived_cl532_527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1266,zip_derived_cl532]) ).

thf(zip_derived_cl380_528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1286,zip_derived_cl380]) ).

thf(zip_derived_cl261_529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1310,zip_derived_cl261]) ).

thf(zip_derived_cl194_530,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1326,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1316,zip_derived_cl194]) ).

thf(zip_derived_cl116_531,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1326,zip_derived_cl116]) ).

thf(zip_derived_cl93_532,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1336,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1328,zip_derived_cl93]) ).

thf(zip_derived_cl35_533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1338,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1336,zip_derived_cl35]) ).

thf(zip_derived_cl3_534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1340,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1338,zip_derived_cl3]) ).

thf(zip_derived_cl2_535,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1342,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1340,zip_derived_cl2]) ).

thf(zip_derived_cl1403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1342]) ).

thf(zip_derived_cl1170_536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1435,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1403,zip_derived_cl1170]) ).

thf(zip_derived_cl949_537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1435,zip_derived_cl949]) ).

thf(zip_derived_cl747_538,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1459,zip_derived_cl747]) ).

thf(zip_derived_cl532_539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1479,zip_derived_cl532]) ).

thf(zip_derived_cl380_540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1515,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1505,zip_derived_cl380]) ).

thf(zip_derived_cl261_541,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1515,zip_derived_cl261]) ).

thf(zip_derived_cl194_542,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1525,zip_derived_cl194]) ).

thf(zip_derived_cl116_543,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1533,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1527,zip_derived_cl116]) ).

thf(zip_derived_cl93_544,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1535,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1533,zip_derived_cl93]) ).

thf(zip_derived_cl35_545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1537,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1535,zip_derived_cl35]) ).

thf(zip_derived_cl3_546,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1539,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1537,zip_derived_cl3]) ).

thf(zip_derived_cl2_547,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1549,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1539,zip_derived_cl2]) ).

thf(zip_derived_cl1590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1549]) ).

thf(zip_derived_cl1394_548,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1590,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_549,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1630,zip_derived_cl1170]) ).

thf(zip_derived_cl949_550,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1644,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1642,zip_derived_cl949]) ).

thf(zip_derived_cl747_551,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1644,zip_derived_cl747]) ).

thf(zip_derived_cl532_552,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1646,zip_derived_cl532]) ).

thf(zip_derived_cl380_553,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1648,zip_derived_cl380]) ).

thf(zip_derived_cl261_554,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1656,zip_derived_cl261]) ).

thf(zip_derived_cl194_555,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1666,zip_derived_cl194]) ).

thf(zip_derived_cl116_556,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1668,zip_derived_cl116]) ).

thf(zip_derived_cl93_557,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1670,zip_derived_cl93]) ).

thf(zip_derived_cl35_558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1672,zip_derived_cl35]) ).

thf(zip_derived_cl3_559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1680,zip_derived_cl3]) ).

thf(zip_derived_cl2_560,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1692,zip_derived_cl2]) ).

thf(zip_derived_cl1585_561,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1394_562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1170_563,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl949_564,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl747_565,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl532_566,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl380_567,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl194_568,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl116_569,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl93_570,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(p11,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p11]) ).

thf(zip_derived_cl2_571,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).

thf(zip_derived_cl3_572,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl97,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl3]) ).

thf(zip_derived_cl2_573,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl97,zip_derived_cl2]) ).

thf(zip_derived_cl35_574,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl99,zip_derived_cl35]) ).

thf(zip_derived_cl3_575,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl122,zip_derived_cl3]) ).

thf(zip_derived_cl2_576,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl124,zip_derived_cl2]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl134]) ).

thf(zip_derived_cl35_577,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl35]) ).

thf(zip_derived_cl3_578,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl198,zip_derived_cl3]) ).

thf(zip_derived_cl2_579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl208,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl206,zip_derived_cl2]) ).

thf(zip_derived_cl222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl208]) ).

thf(zip_derived_cl93_580,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl255,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl222,zip_derived_cl93]) ).

thf(zip_derived_cl35_581,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl255,zip_derived_cl35]) ).

thf(zip_derived_cl3_582,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl257,zip_derived_cl3]) ).

thf(zip_derived_cl2_583,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl267,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl259,zip_derived_cl2]) ).

thf(zip_derived_cl297,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl267]) ).

thf(zip_derived_cl116_584,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl329,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl297,zip_derived_cl116]) ).

thf(zip_derived_cl93_585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl329,zip_derived_cl93]) ).

thf(zip_derived_cl35_586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl341,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl331,zip_derived_cl35]) ).

thf(zip_derived_cl3_587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl343,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl341,zip_derived_cl3]) ).

thf(zip_derived_cl2_588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl378,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl343,zip_derived_cl2]) ).

thf(zip_derived_cl261_589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl261]) ).

thf(zip_derived_cl194_590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl390,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl388,zip_derived_cl194]) ).

thf(zip_derived_cl116_591,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl390,zip_derived_cl116]) ).

thf(zip_derived_cl93_592,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl400,zip_derived_cl93]) ).

thf(zip_derived_cl35_593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl404,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl402,zip_derived_cl35]) ).

thf(zip_derived_cl3_594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl404,zip_derived_cl3]) ).

thf(zip_derived_cl2_595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl412,zip_derived_cl2]) ).

thf(zip_derived_cl442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl414]) ).

thf(zip_derived_cl261_596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl486,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl442,zip_derived_cl261]) ).

thf(zip_derived_cl194_597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl488,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl486,zip_derived_cl194]) ).

thf(zip_derived_cl116_598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl498,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl488,zip_derived_cl116]) ).

thf(zip_derived_cl93_599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl500,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl498,zip_derived_cl93]) ).

thf(zip_derived_cl35_600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl502,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl500,zip_derived_cl35]) ).

thf(zip_derived_cl3_601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl512,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl502,zip_derived_cl3]) ).

thf(zip_derived_cl2_602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl512,zip_derived_cl2]) ).

thf(zip_derived_cl590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl514]) ).

thf(zip_derived_cl380_603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl635,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl590,zip_derived_cl380]) ).

thf(zip_derived_cl261_604,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl645,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl635,zip_derived_cl261]) ).

thf(zip_derived_cl194_605,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl645,zip_derived_cl194]) ).

thf(zip_derived_cl116_606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl649,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl647,zip_derived_cl116]) ).

thf(zip_derived_cl93_607,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl649,zip_derived_cl93]) ).

thf(zip_derived_cl35_608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl659,zip_derived_cl35]) ).

thf(zip_derived_cl3_609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl661,zip_derived_cl3]) ).

thf(zip_derived_cl2_610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl671,zip_derived_cl2]) ).

thf(zip_derived_cl785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl673]) ).

thf(zip_derived_cl532_611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl785,zip_derived_cl532]) ).

thf(zip_derived_cl380_612,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl845,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl837,zip_derived_cl380]) ).

thf(zip_derived_cl261_613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl847,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl845,zip_derived_cl261]) ).

thf(zip_derived_cl194_614,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl849,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl847,zip_derived_cl194]) ).

thf(zip_derived_cl116_615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl857,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl849,zip_derived_cl116]) ).

thf(zip_derived_cl93_616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl859,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl857,zip_derived_cl93]) ).

thf(zip_derived_cl35_617,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl859,zip_derived_cl35]) ).

thf(zip_derived_cl3_618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl869,zip_derived_cl3]) ).

thf(zip_derived_cl2_619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl871,zip_derived_cl2]) ).

thf(zip_derived_cl985,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl873]) ).

thf(zip_derived_cl747_620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1036,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl985,zip_derived_cl747]) ).

thf(zip_derived_cl532_621,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1044,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1036,zip_derived_cl532]) ).

thf(zip_derived_cl380_622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1046,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1044,zip_derived_cl380]) ).

thf(zip_derived_cl261_623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1054,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1046,zip_derived_cl261]) ).

thf(zip_derived_cl194_624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1056,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1054,zip_derived_cl194]) ).

thf(zip_derived_cl116_625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1066,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1056,zip_derived_cl116]) ).

thf(zip_derived_cl93_626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1066,zip_derived_cl93]) ).

thf(zip_derived_cl35_627,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1070,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1068,zip_derived_cl35]) ).

thf(zip_derived_cl3_628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1080,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1070,zip_derived_cl3]) ).

thf(zip_derived_cl2_629,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1082,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1080,zip_derived_cl2]) ).

thf(zip_derived_cl1206,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1082]) ).

thf(zip_derived_cl949_630,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1206,zip_derived_cl949]) ).

thf(zip_derived_cl747_631,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1238,zip_derived_cl747]) ).

thf(zip_derived_cl532_632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1270,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1264,zip_derived_cl532]) ).

thf(zip_derived_cl380_633,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1278,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1270,zip_derived_cl380]) ).

thf(zip_derived_cl261_634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1280,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1278,zip_derived_cl261]) ).

thf(zip_derived_cl194_635,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1280,zip_derived_cl194]) ).

thf(zip_derived_cl116_636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1290,zip_derived_cl116]) ).

thf(zip_derived_cl93_637,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1294,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1292,zip_derived_cl93]) ).

thf(zip_derived_cl35_638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1294,zip_derived_cl35]) ).

thf(zip_derived_cl3_639,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1302,zip_derived_cl3]) ).

thf(zip_derived_cl2_640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1304,zip_derived_cl2]) ).

thf(zip_derived_cl1402,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1314]) ).

thf(zip_derived_cl1170_641,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1402,zip_derived_cl1170]) ).

thf(zip_derived_cl949_642,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1433,zip_derived_cl949]) ).

thf(zip_derived_cl747_643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1457,zip_derived_cl747]) ).

thf(zip_derived_cl532_644,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1477,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1475,zip_derived_cl532]) ).

thf(zip_derived_cl380_645,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1485,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1477,zip_derived_cl380]) ).

thf(zip_derived_cl261_646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1485,zip_derived_cl261]) ).

thf(zip_derived_cl194_647,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1487,zip_derived_cl194]) ).

thf(zip_derived_cl116_648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1491,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1489,zip_derived_cl116]) ).

thf(zip_derived_cl93_649,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl93]) ).

thf(zip_derived_cl35_650,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1501,zip_derived_cl35]) ).

thf(zip_derived_cl3_651,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1503,zip_derived_cl3]) ).

thf(zip_derived_cl2_652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1511,zip_derived_cl2]) ).

thf(zip_derived_cl1589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1513]) ).

thf(zip_derived_cl1394_653,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1628,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1589,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1628,zip_derived_cl1170]) ).

thf(zip_derived_cl949_655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1654,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1634,zip_derived_cl949]) ).

thf(zip_derived_cl747_656,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1654,zip_derived_cl747]) ).

thf(zip_derived_cl532_657,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1678,zip_derived_cl532]) ).

thf(zip_derived_cl380_658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1684,zip_derived_cl380]) ).

thf(zip_derived_cl261_659,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1696,zip_derived_cl261]) ).

thf(zip_derived_cl194_660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1726,zip_derived_cl194]) ).

thf(zip_derived_cl116_661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1740,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1730,zip_derived_cl116]) ).

thf(zip_derived_cl93_662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1742,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1740,zip_derived_cl93]) ).

thf(zip_derived_cl35_663,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1742,zip_derived_cl35]) ).

thf(zip_derived_cl3_664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1744,zip_derived_cl3]) ).

thf(zip_derived_cl2_665,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1746,zip_derived_cl2]) ).

thf(zip_derived_cl1573_666,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1752,zip_derived_cl1573]) ).

thf(zip_derived_cl1585_667,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1756,zip_derived_cl1585]) ).

thf(zip_derived_cl1394_668,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1766,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1764,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_669,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1766,zip_derived_cl1170]) ).

thf(zip_derived_cl949_670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1770,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1768,zip_derived_cl949]) ).

thf(zip_derived_cl747_671,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1770,zip_derived_cl747]) ).

thf(zip_derived_cl532_672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1776,zip_derived_cl532]) ).

thf(zip_derived_cl380_673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1780,zip_derived_cl380]) ).

thf(zip_derived_cl261_674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1790,zip_derived_cl261]) ).

thf(zip_derived_cl194_675,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1792,zip_derived_cl194]) ).

thf(zip_derived_cl116_676,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1794,zip_derived_cl116]) ).

thf(zip_derived_cl93_677,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1796,zip_derived_cl93]) ).

thf(zip_derived_cl35_678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1800,zip_derived_cl35]) ).

thf(zip_derived_cl3_679,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1802,zip_derived_cl3]) ).

thf(zip_derived_cl2_680,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1806,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1804,zip_derived_cl2]) ).

thf(zip_derived_cl1585_681,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1394_682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1170_683,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl949_684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl747_685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl532_686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl380_687,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl261_688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl194_689,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl116_690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl93_691,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl35_692,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(p10,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[p10]) ).

thf(zip_derived_cl2_693,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).

thf(zip_derived_cl3_694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl65,zip_derived_cl3]) ).

thf(zip_derived_cl2_695,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl89,zip_derived_cl2]) ).

thf(zip_derived_cl102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl91]) ).

thf(zip_derived_cl3_696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl102,zip_derived_cl3]) ).

thf(zip_derived_cl2_697,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl110,zip_derived_cl2]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl112]) ).

thf(zip_derived_cl35_698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl184,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl169,zip_derived_cl35]) ).

thf(zip_derived_cl3_699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl184,zip_derived_cl3]) ).

thf(zip_derived_cl2_700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl186,zip_derived_cl2]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl188]) ).

thf(zip_derived_cl93_701,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl221,zip_derived_cl93]) ).

thf(zip_derived_cl35_702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl231,zip_derived_cl35]) ).

thf(zip_derived_cl3_703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl235,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl233,zip_derived_cl3]) ).

thf(zip_derived_cl2_704,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl235,zip_derived_cl2]) ).

thf(zip_derived_cl296,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl245]) ).

thf(zip_derived_cl116_705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl307,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl296,zip_derived_cl116]) ).

thf(zip_derived_cl93_706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl307,zip_derived_cl93]) ).

thf(zip_derived_cl35_707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl309,zip_derived_cl35]) ).

thf(zip_derived_cl3_708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl311,zip_derived_cl3]) ).

thf(zip_derived_cl2_709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl319,zip_derived_cl2]) ).

thf(zip_derived_cl346,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl321]) ).

thf(zip_derived_cl194_710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl354,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl346,zip_derived_cl194]) ).

thf(zip_derived_cl116_711,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl356,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl354,zip_derived_cl116]) ).

thf(zip_derived_cl93_712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl358,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl356,zip_derived_cl93]) ).

thf(zip_derived_cl35_713,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl358,zip_derived_cl35]) ).

thf(zip_derived_cl3_714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl368,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl3]) ).

thf(zip_derived_cl2_715,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl376,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl368,zip_derived_cl2]) ).

thf(zip_derived_cl441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl376]) ).

thf(zip_derived_cl261_716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl441,zip_derived_cl261]) ).

thf(zip_derived_cl194_717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl454,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl452,zip_derived_cl194]) ).

thf(zip_derived_cl116_718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl456,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl454,zip_derived_cl116]) ).

thf(zip_derived_cl93_719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl464,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl456,zip_derived_cl93]) ).

thf(zip_derived_cl35_720,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl466,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl464,zip_derived_cl35]) ).

thf(zip_derived_cl3_721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl476,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl466,zip_derived_cl3]) ).

thf(zip_derived_cl2_722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl476,zip_derived_cl2]) ).

thf(zip_derived_cl589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl478]) ).

thf(zip_derived_cl380_723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl589,zip_derived_cl380]) ).

thf(zip_derived_cl261_724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl600,zip_derived_cl261]) ).

thf(zip_derived_cl194_725,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl604,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl602,zip_derived_cl194]) ).

thf(zip_derived_cl116_726,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl604,zip_derived_cl116]) ).

thf(zip_derived_cl93_727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl613,zip_derived_cl93]) ).

thf(zip_derived_cl35_728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl615,zip_derived_cl35]) ).

thf(zip_derived_cl3_729,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl623,zip_derived_cl3]) ).

thf(zip_derived_cl2_730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl627,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl625,zip_derived_cl2]) ).

thf(zip_derived_cl784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl627]) ).

thf(zip_derived_cl532_731,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl784,zip_derived_cl532]) ).

thf(zip_derived_cl380_732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl797,zip_derived_cl380]) ).

thf(zip_derived_cl261_733,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl799,zip_derived_cl261]) ).

thf(zip_derived_cl194_734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl801,zip_derived_cl194]) ).

thf(zip_derived_cl116_735,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl809,zip_derived_cl116]) ).

thf(zip_derived_cl93_736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl821,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl811,zip_derived_cl93]) ).

thf(zip_derived_cl35_737,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl821,zip_derived_cl35]) ).

thf(zip_derived_cl3_738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl825,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl823,zip_derived_cl3]) ).

thf(zip_derived_cl2_739,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl835,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl825,zip_derived_cl2]) ).

thf(zip_derived_cl984,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl835]) ).

thf(zip_derived_cl747_740,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl997,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl984,zip_derived_cl747]) ).

thf(zip_derived_cl532_741,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl999,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl997,zip_derived_cl532]) ).

thf(zip_derived_cl380_742,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl999,zip_derived_cl380]) ).

thf(zip_derived_cl261_743,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1001,zip_derived_cl261]) ).

thf(zip_derived_cl194_744,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1010,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1008,zip_derived_cl194]) ).

thf(zip_derived_cl116_745,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1018,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1010,zip_derived_cl116]) ).

thf(zip_derived_cl93_746,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1020,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1018,zip_derived_cl93]) ).

thf(zip_derived_cl35_747,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1022,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1020,zip_derived_cl35]) ).

thf(zip_derived_cl3_748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1032,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1022,zip_derived_cl3]) ).

thf(zip_derived_cl2_749,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1032,zip_derived_cl2]) ).

thf(zip_derived_cl1205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1034]) ).

thf(zip_derived_cl949_750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1205,zip_derived_cl949]) ).

thf(zip_derived_cl747_751,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1222,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1220,zip_derived_cl747]) ).

thf(zip_derived_cl532_752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1222,zip_derived_cl532]) ).

thf(zip_derived_cl380_753,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1232,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1224,zip_derived_cl380]) ).

thf(zip_derived_cl261_754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1232,zip_derived_cl261]) ).

thf(zip_derived_cl194_755,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1234,zip_derived_cl194]) ).

thf(zip_derived_cl116_756,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1246,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1244,zip_derived_cl116]) ).

thf(zip_derived_cl93_757,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1246,zip_derived_cl93]) ).

thf(zip_derived_cl35_758,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1248,zip_derived_cl35]) ).

thf(zip_derived_cl3_759,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1258,zip_derived_cl3]) ).

thf(zip_derived_cl2_760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1268,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1260,zip_derived_cl2]) ).

thf(zip_derived_cl1401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1268]) ).

thf(zip_derived_cl1170_761,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1416,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1401,zip_derived_cl1170]) ).

thf(zip_derived_cl949_762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1418,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1416,zip_derived_cl949]) ).

thf(zip_derived_cl747_763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1420,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1418,zip_derived_cl747]) ).

thf(zip_derived_cl532_764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1420,zip_derived_cl532]) ).

thf(zip_derived_cl380_765,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1429,zip_derived_cl380]) ).

thf(zip_derived_cl261_766,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1431,zip_derived_cl261]) ).

thf(zip_derived_cl194_767,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1439,zip_derived_cl194]) ).

thf(zip_derived_cl116_768,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1441,zip_derived_cl116]) ).

thf(zip_derived_cl93_769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1443,zip_derived_cl93]) ).

thf(zip_derived_cl35_770,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1453,zip_derived_cl35]) ).

thf(zip_derived_cl3_771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1455,zip_derived_cl3]) ).

thf(zip_derived_cl2_772,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1467,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1465,zip_derived_cl2]) ).

thf(zip_derived_cl1588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1467]) ).

thf(zip_derived_cl1394_773,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1588,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1613,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1611,zip_derived_cl1170]) ).

thf(zip_derived_cl949_775,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1615,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1613,zip_derived_cl949]) ).

thf(zip_derived_cl747_776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1615,zip_derived_cl747]) ).

thf(zip_derived_cl532_777,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1632,zip_derived_cl532]) ).

thf(zip_derived_cl380_778,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1638,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1636,zip_derived_cl380]) ).

thf(zip_derived_cl261_779,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1638,zip_derived_cl261]) ).

thf(zip_derived_cl194_780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1650,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1640,zip_derived_cl194]) ).

thf(zip_derived_cl116_781,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1650,zip_derived_cl116]) ).

thf(zip_derived_cl93_782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1652,zip_derived_cl93]) ).

thf(zip_derived_cl35_783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1660,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1658,zip_derived_cl35]) ).

thf(zip_derived_cl3_784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1660,zip_derived_cl3]) ).

thf(zip_derived_cl2_785,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1664,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1662,zip_derived_cl2]) ).

thf(zip_derived_cl1573_786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1664,zip_derived_cl1573]) ).

thf(zip_derived_cl1585_787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1676,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1674,zip_derived_cl1585]) ).

thf(zip_derived_cl1394_788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1676,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_789,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1682,zip_derived_cl1170]) ).

thf(zip_derived_cl949_790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1688,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1686,zip_derived_cl949]) ).

thf(zip_derived_cl747_791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1690,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1688,zip_derived_cl747]) ).

thf(zip_derived_cl532_792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1690,zip_derived_cl532]) ).

thf(zip_derived_cl380_793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1698,zip_derived_cl380]) ).

thf(zip_derived_cl261_794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1710,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1700,zip_derived_cl261]) ).

thf(zip_derived_cl194_795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1712,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1710,zip_derived_cl194]) ).

thf(zip_derived_cl116_796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1712,zip_derived_cl116]) ).

thf(zip_derived_cl93_797,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1724,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1714,zip_derived_cl93]) ).

thf(zip_derived_cl35_798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1724,zip_derived_cl35]) ).

thf(zip_derived_cl3_799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1732,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1728,zip_derived_cl3]) ).

thf(zip_derived_cl2_800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1734,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1732,zip_derived_cl2]) ).

thf(zip_derived_cl1694_801,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1692,zip_derived_cl2]) ).

thf(zip_derived_cl1736,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1734,zip_derived_cl1694]) ).

thf(zip_derived_cl1573_802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1738,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1736,zip_derived_cl1573]) ).

thf(zip_derived_cl1585_803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1738,zip_derived_cl1585]) ).

thf(zip_derived_cl1394_804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1748,zip_derived_cl1394]) ).

thf(zip_derived_cl1170_805,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1750,zip_derived_cl1170]) ).

thf(zip_derived_cl949_806,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1758,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1754,zip_derived_cl949]) ).

thf(zip_derived_cl747_807,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl1760,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1758,zip_derived_cl747]) ).

thf(zip_derived_cl532_808,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl1762,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1760,zip_derived_cl532]) ).

thf(zip_derived_cl380_809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl1772,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1762,zip_derived_cl380]) ).

thf(zip_derived_cl261_810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl1774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1772,zip_derived_cl261]) ).

thf(zip_derived_cl194_811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl1778,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1774,zip_derived_cl194]) ).

thf(zip_derived_cl116_812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl1782,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1778,zip_derived_cl116]) ).

thf(zip_derived_cl93_813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl1784,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1782,zip_derived_cl93]) ).

thf(zip_derived_cl35_814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl1786,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1784,zip_derived_cl35]) ).

thf(zip_derived_cl3_815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl1788,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1786,zip_derived_cl3]) ).

thf(zip_derived_cl2_816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl1798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1788,zip_derived_cl2]) ).

thf(zip_derived_cl2_817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_818,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_819,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_821,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_824,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_825,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_826,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_827,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_828,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1394_829,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1585_830,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1573_831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1694_832,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1692,zip_derived_cl2]) ).

thf(zip_derived_cl1806_833,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i] :
      ( ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1804,zip_derived_cl2]) ).

thf(zip_derived_cl2_834,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_835,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_836,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_837,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_838,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_839,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_840,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_841,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_842,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_843,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_844,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_845,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1394_846,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1585_847,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1573_848,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl1694_849,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i] :
      ( ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1692,zip_derived_cl2]) ).

thf(zip_derived_cl2_850,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_851,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_852,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_853,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_854,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_855,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_856,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_857,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_858,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_859,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_860,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_861,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1394_862,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1585_863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl1573_864,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1571,zip_derived_cl2]) ).

thf(zip_derived_cl2_865,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_866,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_867,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_869,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_870,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_871,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_872,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_873,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_874,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_875,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_876,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1394_877,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl1585_878,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i] :
      ( ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1583,zip_derived_cl2]) ).

thf(zip_derived_cl2_879,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_881,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_882,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_883,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_884,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_885,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_886,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_887,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_888,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_889,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_890,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl1394_891,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i] :
      ( ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1392,zip_derived_cl2]) ).

thf(zip_derived_cl2_892,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_893,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_894,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_895,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_896,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_897,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_898,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_899,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_900,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_901,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_902,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl1170_903,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i] :
      ( ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1168,zip_derived_cl2]) ).

thf(zip_derived_cl2_904,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_905,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_906,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_907,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_908,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_909,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_910,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_911,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_913,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl949_914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i] :
      ( ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl947,zip_derived_cl2]) ).

thf(zip_derived_cl2_915,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_916,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_917,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_918,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_919,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_920,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_921,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_922,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_923,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl747_924,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i] :
      ( ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl727,zip_derived_cl2]) ).

thf(zip_derived_cl2_925,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_926,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_927,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_928,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_929,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_930,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_931,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_932,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl532_933,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i] :
      ( ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl530,zip_derived_cl2]) ).

thf(zip_derived_cl2_934,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_935,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_936,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_938,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_939,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_940,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl380_941,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i] :
      ( ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl364,zip_derived_cl2]) ).

thf(zip_derived_cl2_942,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_943,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_944,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_945,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_946,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_947,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl261_948,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i] :
      ( ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl243,zip_derived_cl2]) ).

thf(zip_derived_cl2_949,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_951,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_952,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_953,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl194_954,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i] :
      ( ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl192,zip_derived_cl2]) ).

thf(zip_derived_cl2_955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl116_959,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i] :
      ( ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl114,zip_derived_cl2]) ).

thf(zip_derived_cl2_960,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_962,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl93_963,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i] :
      ( ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 )
      | ~ ( bin_count @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl2]) ).

thf(zip_derived_cl2_964,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_965,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl35_966,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i] :
      ( ~ ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 )
      | ( bin_count @ X23 @ X22 @ X21 @ X20 @ X19 @ X18 @ X17 @ X16 @ X15 @ X14 @ X13 @ X12 @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl4]) ).

thf(zip_derived_cl2_967,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(zip_derived_cl3_968,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n1 @ n0 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ n0 @ n1 ) ),
    inference(cnf,[status(esa)],[p26]) ).

thf(zip_derived_cl2_969,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i,X12: $i,X13: $i,X14: $i,X15: $i,X16: $i,X17: $i,X18: $i,X19: $i,X20: $i,X21: $i,X22: $i,X23: $i,X24: $i,X25: $i] :
      ( ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n1 )
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ X12 @ X13 @ X14 @ X15 @ X16 @ X17 @ X18 @ X19 @ X20 @ X21 @ X22 @ X23 @ X24 @ X25 @ n0 ) ),
    inference(cnf,[status(esa)],[p27]) ).

thf(qed18,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
      ( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
     => goal ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ( goal
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[qed18]) ).

thf(goal_to_be_proved,conjecture,
    goal ).

thf(zf_stmt_0,negated_conjecture,
    ~ goal,
    inference('cnf.neg',[status(esa)],[goal_to_be_proved]) ).

thf(zip_derived_cl29,plain,
    ~ goal,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl29]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl30]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl34]) ).

thf(zip_derived_cl75,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl68]) ).

thf(zip_derived_cl101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl75]) ).

thf(zip_derived_cl106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl101]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl106]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl107]) ).

thf(zip_derived_cl177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl168]) ).

thf(zip_derived_cl178,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl177]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl178]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl179]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl220]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl225]) ).

thf(zip_derived_cl227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl226]) ).

thf(zip_derived_cl228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl227]) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl228]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl295]) ).

thf(zip_derived_cl301,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl300]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl301]) ).

thf(zip_derived_cl303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl302]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl303]) ).

thf(zip_derived_cl345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl304]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl345]) ).

thf(zip_derived_cl349,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl348]) ).

thf(zip_derived_cl350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl349]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl350]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl351]) ).

thf(zip_derived_cl353,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl352]) ).

thf(zip_derived_cl440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl353]) ).

thf(zip_derived_cl445,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl440]) ).

thf(zip_derived_cl446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl445]) ).

thf(zip_derived_cl447,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl446]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl447]) ).

thf(zip_derived_cl449,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl448]) ).

thf(zip_derived_cl450,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl449]) ).

thf(zip_derived_cl451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl450]) ).

thf(zip_derived_cl588,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl451]) ).

thf(zip_derived_cl593,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl588]) ).

thf(zip_derived_cl594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl593]) ).

thf(zip_derived_cl595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl594]) ).

thf(zip_derived_cl596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl595]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl596]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl597]) ).

thf(zip_derived_cl599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl598]) ).

thf(zip_derived_cl606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl599]) ).

thf(zip_derived_cl783,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl606]) ).

thf(zip_derived_cl790,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl783]) ).

thf(zip_derived_cl791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl790]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl791]) ).

thf(zip_derived_cl793,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl792]) ).

thf(zip_derived_cl794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl793]) ).

thf(zip_derived_cl795,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl794]) ).

thf(zip_derived_cl796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl795]) ).

thf(zip_derived_cl803,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl796]) ).

thf(zip_derived_cl804,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl803]) ).

thf(zip_derived_cl983,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl804]) ).

thf(zip_derived_cl990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl983]) ).

thf(zip_derived_cl991,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl990]) ).

thf(zip_derived_cl992,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl991]) ).

thf(zip_derived_cl993,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl992]) ).

thf(zip_derived_cl994,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl993]) ).

thf(zip_derived_cl995,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl994]) ).

thf(zip_derived_cl996,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl995]) ).

thf(zip_derived_cl1003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl996]) ).

thf(zip_derived_cl1004,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1003]) ).

thf(zip_derived_cl1005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1004]) ).

thf(zip_derived_cl1204,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1005]) ).

thf(zip_derived_cl1213,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1204]) ).

thf(zip_derived_cl1214,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1213]) ).

thf(zip_derived_cl1215,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1214]) ).

thf(zip_derived_cl1216,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1215]) ).

thf(zip_derived_cl1217,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1216]) ).

thf(zip_derived_cl1218,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1217]) ).

thf(zip_derived_cl1219,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1218]) ).

thf(zip_derived_cl1226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1219]) ).

thf(zip_derived_cl1227,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1226]) ).

thf(zip_derived_cl1228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1227]) ).

thf(zip_derived_cl1229,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1228]) ).

thf(zip_derived_cl1400,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1229]) ).

thf(zip_derived_cl1409,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1400]) ).

thf(zip_derived_cl1410,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1409]) ).

thf(zip_derived_cl1411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1410]) ).

thf(zip_derived_cl1412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1411]) ).

thf(zip_derived_cl1413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1412]) ).

thf(zip_derived_cl1414,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1413]) ).

thf(zip_derived_cl1415,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1414]) ).

thf(zip_derived_cl1422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1415]) ).

thf(zip_derived_cl1423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1422]) ).

thf(zip_derived_cl1424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1423]) ).

thf(zip_derived_cl1425,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1424]) ).

thf(zip_derived_cl1426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1425]) ).

thf(zip_derived_cl1587,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1426]) ).

thf(zip_derived_cl1594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1587]) ).

thf(zip_derived_cl1595,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1594]) ).

thf(zip_derived_cl1596,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1595]) ).

thf(zip_derived_cl1597,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1596]) ).

thf(zip_derived_cl1598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1597]) ).

thf(zip_derived_cl1599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1598]) ).

thf(zip_derived_cl1600,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1599]) ).

thf(zip_derived_cl1601,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1600]) ).

thf(zip_derived_cl1602,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1601]) ).

thf(zip_derived_cl1603,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1602]) ).

thf(zip_derived_cl1604,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1603]) ).

thf(zip_derived_cl1605,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1604]) ).

thf(zip_derived_cl1606,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1605]) ).

thf(zip_derived_cl1607,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl1606]) ).

thf(zip_derived_cl1608,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1607]) ).

thf(zip_derived_cl1609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1608]) ).

thf(zip_derived_cl1610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1609]) ).

thf(zip_derived_cl1617,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1610]) ).

thf(zip_derived_cl1618,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1617]) ).

thf(zip_derived_cl1619,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1618]) ).

thf(zip_derived_cl1620,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1619]) ).

thf(zip_derived_cl1621,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1620]) ).

thf(zip_derived_cl1622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1621]) ).

thf(zip_derived_cl1623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1622]) ).

thf(zip_derived_cl1624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1623]) ).

thf(zip_derived_cl1625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1624]) ).

thf(zip_derived_cl1626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1625]) ).

thf(zip_derived_cl1627,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1626]) ).

thf(zip_derived_cl1702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl1627]) ).

thf(zip_derived_cl1703,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl1702]) ).

thf(zip_derived_cl1704,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1703]) ).

thf(zip_derived_cl1705,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1704]) ).

thf(zip_derived_cl1706,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1705]) ).

thf(zip_derived_cl1707,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1706]) ).

thf(zip_derived_cl1708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1707]) ).

thf(zip_derived_cl1709,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1708]) ).

thf(zip_derived_cl1716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1709]) ).

thf(zip_derived_cl1717,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1716]) ).

thf(zip_derived_cl1718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1717]) ).

thf(zip_derived_cl1719,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1718]) ).

thf(zip_derived_cl1720,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1719]) ).

thf(zip_derived_cl1721,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1720]) ).

thf(zip_derived_cl1722,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1721]) ).

thf(zip_derived_cl1723,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1722]) ).

thf(zip_derived_cl1808,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1806,zip_derived_cl1723]) ).

thf(zip_derived_cl1809,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl1808]) ).

thf(zip_derived_cl1810,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl1809]) ).

thf(zip_derived_cl1811,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl1810]) ).

thf(zip_derived_cl1812,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl1811]) ).

thf(zip_derived_cl1813,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl1812]) ).

thf(zip_derived_cl1814,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl1813]) ).

thf(zip_derived_cl1815,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl1814]) ).

thf(zip_derived_cl1816,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl1815]) ).

thf(zip_derived_cl1817,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl1816]) ).

thf(zip_derived_cl1818,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl1817]) ).

thf(zip_derived_cl1819,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl1818]) ).

thf(zip_derived_cl1820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl1819]) ).

thf(zip_derived_cl1821,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl1820]) ).

thf(zip_derived_cl1822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1821]) ).

thf(zip_derived_cl1823,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1822]) ).

thf(zip_derived_cl1824,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1823]) ).

thf(zip_derived_cl1961,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1798,zip_derived_cl1824]) ).

thf(zip_derived_cl2098,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1806,zip_derived_cl1961]) ).

thf(zip_derived_cl2099,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1694,zip_derived_cl2098]) ).

thf(zip_derived_cl2100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1573,zip_derived_cl2099]) ).

thf(zip_derived_cl2101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1585,zip_derived_cl2100]) ).

thf(zip_derived_cl2102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1394,zip_derived_cl2101]) ).

thf(zip_derived_cl2103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1170,zip_derived_cl2102]) ).

thf(zip_derived_cl2104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl2103]) ).

thf(zip_derived_cl2105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl747,zip_derived_cl2104]) ).

thf(zip_derived_cl2106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl532,zip_derived_cl2105]) ).

thf(zip_derived_cl2107,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl380,zip_derived_cl2106]) ).

thf(zip_derived_cl2108,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl261,zip_derived_cl2107]) ).

thf(zip_derived_cl2109,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl194,zip_derived_cl2108]) ).

thf(zip_derived_cl2110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl116,zip_derived_cl2109]) ).

thf(zip_derived_cl2111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl93,zip_derived_cl2110]) ).

thf(zip_derived_cl2112,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl2111]) ).

thf(zip_derived_cl2113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl2112]) ).

thf(zip_derived_cl2114,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i] :
      ~ ( bin_count @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl2113]) ).

thf(zip_derived_cl2115,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl2114]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYO525+1.018 : TPTP v9.2.0. Released v5.2.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.abqaMoqF3E true
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 17:51:08 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.80  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.83  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.84  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.84  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 283.25/41.33  % Solved by fo/fo4.sh.
% 283.25/41.33  % done 2104 iterations in 39.899s
% 283.25/41.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 283.25/41.33  % SZS output start Refutation
% See solution above
% 284.03/41.39  
% 284.03/41.39  
% 284.03/41.39  % Terminating...
% 284.03/41.39  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 284.58/41.57  % Runner terminated.
% 284.58/41.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------