TSTP Solution File: SYO525+1.015 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO525+1.015 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqOjGXgaiM true

% Computer : n022.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 : Fri Sep  1 05:51:52 EDT 2023

% Result   : Theorem 72.96s 11.05s
% Output   : Refutation 73.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  130
%            Number of leaves      :   22
% Syntax   : Number of formulae    : 1178 ( 133 unt;   4 typ;   0 def)
%            Number of atoms       : 2215 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives : 61838 (1154   ~;1025   |;   0   &;59643   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   56 (  48 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   27 (  27   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   4 con; 0-27 aty)
%            Number of variables   : 21611 (   0   ^;21611   !;   0   ?;21611   :)

% Comments : 
%------------------------------------------------------------------------------
thf(goal_type,type,
    goal: $o ).

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

thf(n0_type,type,
    n0: $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(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_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,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_cl90,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,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_cl78,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_cl80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,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_cl92,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,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_cl80,zip_derived_cl2]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,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_cl92]) ).

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_cl111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,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_cl100,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_cl113,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl90_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_cl78,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_cl82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl115,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl82,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_cl117,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl115,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_cl137,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl117,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_cl139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl137,zip_derived_cl2]) ).

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,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_cl90,zip_derived_cl139]) ).

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_cl189,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl166,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_cl191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl189,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_cl193,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

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(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_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,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_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_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,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_cl145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl84,zip_derived_cl2]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl155,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl145,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl157,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl155,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl157,zip_derived_cl2]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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 @ n0 @ n1 @ n0 @ 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_cl90,zip_derived_cl159]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl207,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl168,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl209,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl207,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl211,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl209,zip_derived_cl2]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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 @ n0 @ n1 @ 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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl211]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl236,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl220,zip_derived_cl90]) ).

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_cl238,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl236,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_cl240,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl238,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_cl258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,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_cl240,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_cl105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl147,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl105,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_cl197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl147,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_cl248,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl197,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_cl260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl248,zip_derived_cl2]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl262,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl260,zip_derived_cl90]) ).

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_cl264,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl262,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_cl284,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl264,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_cl286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl284,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl288,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl286,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl288,zip_derived_cl90]) ).

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_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl304,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_cl308,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl306,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_cl310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl308,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl328,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl310,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl330,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl328,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl330,zip_derived_cl90]) ).

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_cl355,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl332,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_cl357,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl355,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_cl359,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,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_cl357,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_cl123,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl123,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_cl199,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl149,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_cl250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl199,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_cl318,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl250,zip_derived_cl2]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl361,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl318,zip_derived_cl90]) ).

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_cl377,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl361,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_cl379,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl377,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_cl381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl379,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl383,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl381,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl383,zip_derived_cl90]) ).

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_cl405,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl403,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_cl407,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl405,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_cl429,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl407,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl429,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl433,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl431,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl433,zip_derived_cl90]) ).

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_cl453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl451,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_cl455,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl453,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_cl457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl455,zip_derived_cl2]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl477,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl457,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl477,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl479,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl499,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl481,zip_derived_cl90]) ).

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_cl501,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl499,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_cl503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl501,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_cl505,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,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_cl503,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_cl125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl179,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl125,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_cl244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl179,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_cl298,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl244,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_cl367,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl298,zip_derived_cl2]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl391,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl367,zip_derived_cl90]) ).

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_cl439,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl391,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_cl463,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl439,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_cl487,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl463,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl511,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl487,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl523,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl511,zip_derived_cl90]) ).

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_cl525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl523,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_cl527,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl525,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_cl529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl527,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

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 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl529,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,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 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl554,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

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,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_cl556,zip_derived_cl90]) ).

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_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 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl576,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_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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl578,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_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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl580,zip_derived_cl2]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl598,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl582,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,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,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_cl598,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,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,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_cl600,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,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,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_cl602,zip_derived_cl90]) ).

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_cl616,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl604,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_cl622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl616,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_cl624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl622,zip_derived_cl2]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl626,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl624,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl626,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl646,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl636,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl648,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl646,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl650,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl648,zip_derived_cl90]) ).

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_cl652,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl650,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_cl662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl652,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_cl672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,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_cl662,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_cl66,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl66,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_cl181,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl127,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_cl246,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl181,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_cl316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl246,zip_derived_cl2]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl369,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl316,zip_derived_cl90]) ).

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_cl393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl369,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_cl441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl393,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_cl465,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl441,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl489,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl465,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl513,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl489,zip_derived_cl90]) ).

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_cl562,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl513,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_cl586,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl562,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_cl610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl586,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl632,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl610,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl658,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl632,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl674,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl658,zip_derived_cl90]) ).

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_cl676,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl674,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_cl678,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl676,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_cl682,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl678,zip_derived_cl2]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl686,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl682,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl694,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl686,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl696,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl694,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl698,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl696,zip_derived_cl90]) ).

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_cl700,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl698,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_cl728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl700,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_cl730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl728,zip_derived_cl2]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl730,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl750,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl748,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl752,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl750,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl754,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl752,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl764,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl754,zip_derived_cl90]) ).

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_cl772,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl764,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_cl774,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl772,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_cl776,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl774,zip_derived_cl2]) ).

thf(zip_derived_cl505_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_cl503,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,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_cl776,zip_derived_cl505]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl786,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl796,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl794,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl796,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl800,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl798,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl808,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl800,zip_derived_cl90]) ).

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_cl818,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl808,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_cl820,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl818,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_cl822,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_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_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_cl67,plain,
    ! [X0: $i,X1: $i,X2: $i,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_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,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_cl129,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl67,zip_derived_cl2]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl151,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl129,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl153,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl151,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl161,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl153,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,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 @ n0 @ n1 @ n0 @ n0 )
      | ( 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_cl90,zip_derived_cl161]) ).

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_cl228,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl169,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_cl296,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl228,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_cl322,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl296,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl371,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl322,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl395,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl371,zip_derived_cl90]) ).

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_cl443,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl395,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_cl467,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl443,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_cl491,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl467,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl515,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl491,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

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,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_cl515,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl588,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl564,zip_derived_cl90]) ).

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_cl612,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl588,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_cl634,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl612,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_cl660,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl634,zip_derived_cl2]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl680,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl660,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl684,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl680,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl688,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl684,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl690,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl688,zip_derived_cl90]) ).

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_cl692,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl690,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_cl702,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl692,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_cl704,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl702,zip_derived_cl2]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl736,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl704,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl758,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl736,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl782,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl758,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl806,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl782,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl812,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl806,zip_derived_cl90]) ).

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_cl824,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl812,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_cl826,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl824,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_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] :
      ( ( 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_cl826,zip_derived_cl2]) ).

thf(zip_derived_cl505_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_cl503,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] :
      ( ( 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_cl851,zip_derived_cl505]) ).

thf(zip_derived_cl359_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_cl357,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,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_cl853,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

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,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_cl863,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

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,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_cl871,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,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] :
      ( ( 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_cl873,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,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] :
      ( ( 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_cl875,zip_derived_cl90]) ).

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_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,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_cl877,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_cl895,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl887,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_cl897,plain,
    ! [X0: $i,X1: $i,X2: $i,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_cl895,zip_derived_cl2]) ).

thf(zip_derived_cl672_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_cl662,zip_derived_cl2]) ).

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] :
      ( ( 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_cl897,zip_derived_cl672]) ).

thf(zip_derived_cl505_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_cl503,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] :
      ( ( 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_cl899,zip_derived_cl505]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

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,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_cl901,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

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,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_cl909,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,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,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_cl917,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,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] :
      ( ( 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_cl919,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,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] :
      ( ( 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_cl921,zip_derived_cl90]) ).

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_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,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_cl923,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_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,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_cl929,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_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,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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl3_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,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_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,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_cl68,plain,
    ! [X0: $i,X1: $i,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_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_cl131,plain,
    ! [X0: $i,X1: $i,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_cl68,zip_derived_cl2]) ).

thf(zip_derived_cl35_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,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_cl135,plain,
    ! [X0: $i,X1: $i,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_cl131,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl141,plain,
    ! [X0: $i,X1: $i,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_cl135,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl143,plain,
    ! [X0: $i,X1: $i,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_cl141,zip_derived_cl2]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i,X1: $i,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 @ n0 @ n1 @ n0 @ n0 )
      | ( 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_cl90,zip_derived_cl143]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl201,plain,
    ! [X0: $i,X1: $i,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_cl167,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl213,plain,
    ! [X0: $i,X1: $i,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_cl201,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl215,plain,
    ! [X0: $i,X1: $i,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_cl213,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i,X1: $i,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_cl215,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl320,plain,
    ! [X0: $i,X1: $i,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_cl294,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl326,plain,
    ! [X0: $i,X1: $i,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_cl320,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl334,plain,
    ! [X0: $i,X1: $i,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_cl326,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl336,plain,
    ! [X0: $i,X1: $i,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_cl334,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl389,plain,
    ! [X0: $i,X1: $i,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_cl336,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl409,plain,
    ! [X0: $i,X1: $i,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_cl389,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl445,plain,
    ! [X0: $i,X1: $i,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_cl409,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl469,plain,
    ! [X0: $i,X1: $i,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_cl445,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl493,plain,
    ! [X0: $i,X1: $i,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_cl469,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl495,plain,
    ! [X0: $i,X1: $i,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_cl493,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl497,plain,
    ! [X0: $i,X1: $i,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_cl495,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl507,plain,
    ! [X0: $i,X1: $i,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_cl497,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl509,plain,
    ! [X0: $i,X1: $i,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_cl507,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl517,plain,
    ! [X0: $i,X1: $i,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_cl509,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl519,plain,
    ! [X0: $i,X1: $i,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_cl517,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl521,plain,
    ! [X0: $i,X1: $i,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_cl519,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl531,plain,
    ! [X0: $i,X1: $i,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_cl521,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl533,plain,
    ! [X0: $i,X1: $i,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_cl531,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

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] :
      ( ( 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_cl533,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,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,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_cl566,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl614,plain,
    ! [X0: $i,X1: $i,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_cl590,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl620,plain,
    ! [X0: $i,X1: $i,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_cl614,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl628,plain,
    ! [X0: $i,X1: $i,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_cl620,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl630,plain,
    ! [X0: $i,X1: $i,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_cl628,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl638,plain,
    ! [X0: $i,X1: $i,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_cl630,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl640,plain,
    ! [X0: $i,X1: $i,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_cl638,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i,X1: $i,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_cl640,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl644,plain,
    ! [X0: $i,X1: $i,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_cl642,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl654,plain,
    ! [X0: $i,X1: $i,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_cl644,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl656,plain,
    ! [X0: $i,X1: $i,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_cl654,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl664,plain,
    ! [X0: $i,X1: $i,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_cl656,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl666,plain,
    ! [X0: $i,X1: $i,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_cl664,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl668,plain,
    ! [X0: $i,X1: $i,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_cl666,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl670,plain,
    ! [X0: $i,X1: $i,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_cl668,zip_derived_cl2]) ).

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,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 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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_cl672,zip_derived_cl670]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl740,plain,
    ! [X0: $i,X1: $i,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_cl709,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl762,plain,
    ! [X0: $i,X1: $i,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_cl740,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,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,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_cl762,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl792,plain,
    ! [X0: $i,X1: $i,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_cl784,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl802,plain,
    ! [X0: $i,X1: $i,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_cl792,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl804,plain,
    ! [X0: $i,X1: $i,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_cl802,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl810,plain,
    ! [X0: $i,X1: $i,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_cl804,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl814,plain,
    ! [X0: $i,X1: $i,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_cl810,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl816,plain,
    ! [X0: $i,X1: $i,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_cl814,zip_derived_cl2]) ).

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] :
      ( ~ ( 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 )
      | ( 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_cl822,zip_derived_cl816]) ).

thf(zip_derived_cl672_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_cl662,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,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_cl831,zip_derived_cl672]) ).

thf(zip_derived_cl505_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_cl503,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 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl861,zip_derived_cl505]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

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,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_cl885,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,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] :
      ( ( 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_cl907,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,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] :
      ( ( 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_cl925,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

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,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_cl927,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,zip_derived_cl2]) ).

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,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_cl931,zip_derived_cl90]) ).

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_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] :
      ( ( 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_cl935,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_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,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_cl937,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_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,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_cl939,zip_derived_cl2]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,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_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_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_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,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_cl94,plain,
    ! [X0: $i,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_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,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_cl96,plain,
    ! [X0: $i,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_cl94,zip_derived_cl2]) ).

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_cl119,plain,
    ! [X0: $i,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_cl96,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_cl121,plain,
    ! [X0: $i,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_cl119,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_cl133,plain,
    ! [X0: $i,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_cl121,zip_derived_cl2]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl133]) ).

thf(zip_derived_cl35_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,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_cl195,plain,
    ! [X0: $i,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_cl165,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl203,plain,
    ! [X0: $i,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_cl195,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl205,plain,
    ! [X0: $i,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_cl203,zip_derived_cl2]) ).

thf(zip_derived_cl219,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl205]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i,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_cl219,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl254,plain,
    ! [X0: $i,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_cl252,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl256,plain,
    ! [X0: $i,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_cl254,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl266,plain,
    ! [X0: $i,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_cl256,zip_derived_cl2]) ).

thf(zip_derived_cl270,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl266]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i,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_cl270,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i,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_cl300,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl312,plain,
    ! [X0: $i,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_cl302,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl314,plain,
    ! [X0: $i,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_cl312,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl324,plain,
    ! [X0: $i,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_cl314,zip_derived_cl2]) ).

thf(zip_derived_cl340,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl324]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl375,plain,
    ! [X0: $i,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_cl340,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i,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_cl375,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl387,plain,
    ! [X0: $i,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_cl385,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl397,plain,
    ! [X0: $i,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_cl387,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl399,plain,
    ! [X0: $i,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_cl397,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl401,plain,
    ! [X0: $i,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_cl399,zip_derived_cl2]) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl401]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl459,plain,
    ! [X0: $i,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_cl413,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl461,plain,
    ! [X0: $i,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_cl459,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl471,plain,
    ! [X0: $i,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_cl461,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl473,plain,
    ! [X0: $i,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_cl471,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl475,plain,
    ! [X0: $i,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_cl473,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl483,plain,
    ! [X0: $i,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_cl475,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl485,plain,
    ! [X0: $i,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_cl483,zip_derived_cl2]) ).

thf(zip_derived_cl537,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl485]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

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] :
      ( ( 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_cl537,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

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,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_cl568,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl592,plain,
    ! [X0: $i,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_cl584,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl594,plain,
    ! [X0: $i,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_cl592,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl596,plain,
    ! [X0: $i,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_cl594,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl606,plain,
    ! [X0: $i,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_cl596,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl608,plain,
    ! [X0: $i,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_cl606,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl618,plain,
    ! [X0: $i,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_cl608,zip_derived_cl2]) ).

thf(zip_derived_cl708,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl618]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl738,plain,
    ! [X0: $i,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_cl708,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl760,plain,
    ! [X0: $i,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_cl738,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl766,plain,
    ! [X0: $i,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_cl760,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl768,plain,
    ! [X0: $i,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_cl766,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl770,plain,
    ! [X0: $i,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_cl768,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl778,plain,
    ! [X0: $i,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_cl770,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl780,plain,
    ! [X0: $i,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_cl778,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl788,plain,
    ! [X0: $i,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_cl780,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl790,plain,
    ! [X0: $i,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_cl788,zip_derived_cl2]) ).

thf(zip_derived_cl830,plain,
    ! [X0: $i,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 @ n0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl790]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,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,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_cl830,zip_derived_cl672]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,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,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_cl859,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,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,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_cl883,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

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] :
      ( ( 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_cl889,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,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,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_cl891,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,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] :
      ( ( 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_cl893,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

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,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_cl903,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl905,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_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,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_cl911,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_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] :
      ( ( 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_cl913,zip_derived_cl2]) ).

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] :
      ( ~ ( 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 )
      | ( 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 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl915]) ).

thf(zip_derived_cl822_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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl980,plain,
    ! [X0: $i,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_cl947,zip_derived_cl822]) ).

thf(zip_derived_cl672_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_cl662,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,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_cl980,zip_derived_cl672]) ).

thf(zip_derived_cl505_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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl994,plain,
    ! [X0: $i,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_cl984,zip_derived_cl505]) ).

thf(zip_derived_cl359_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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl996,plain,
    ! [X0: $i,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_cl994,zip_derived_cl359]) ).

thf(zip_derived_cl258_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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl998,plain,
    ! [X0: $i,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_cl996,zip_derived_cl258]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl1000,plain,
    ! [X0: $i,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_cl998,zip_derived_cl193]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

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] :
      ( ( 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_cl1000,zip_derived_cl113]) ).

thf(zip_derived_cl90_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_cl78,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,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_cl1006,zip_derived_cl90]) ).

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_cl1018,plain,
    ! [X0: $i,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_cl1010,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_cl1020,plain,
    ! [X0: $i,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_cl1018,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_cl1022,plain,
    ! [X0: $i,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_cl1020,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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] :
      ( ~ ( 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_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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(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_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_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_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,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_cl86,plain,
    ! [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_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,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_cl88,plain,
    ! [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_cl86,zip_derived_cl2]) ).

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,X10: $i,X11: $i] :
      ( ~ ( 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 )
      | ( 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_cl35,zip_derived_cl88]) ).

thf(zip_derived_cl3_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,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_cl107,plain,
    ! [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_cl99,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl109,plain,
    ! [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_cl107,zip_derived_cl2]) ).

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 @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ 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_cl90,zip_derived_cl109]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl183,plain,
    ! [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_cl164,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl185,plain,
    ! [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_cl183,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl187,plain,
    ! [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_cl185,zip_derived_cl2]) ).

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,X11: $i] :
      ( ~ ( 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 )
      | ( 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_cl113,zip_derived_cl187]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl230,plain,
    ! [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_cl218,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl232,plain,
    ! [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_cl230,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl234,plain,
    ! [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_cl232,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl242,plain,
    ! [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_cl234,zip_derived_cl2]) ).

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] :
      ( ~ ( 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 )
      | ( 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_cl193,zip_derived_cl242]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl278,plain,
    ! [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_cl269,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl280,plain,
    ! [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_cl278,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl282,plain,
    ! [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_cl280,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl290,plain,
    ! [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_cl282,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl292,plain,
    ! [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_cl290,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] :
      ( ~ ( 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 )
      | ( 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_cl258,zip_derived_cl292]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl349,plain,
    ! [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_cl339,zip_derived_cl193]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl351,plain,
    ! [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_cl349,zip_derived_cl113]) ).

thf(zip_derived_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl353,plain,
    ! [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_cl351,zip_derived_cl90]) ).

thf(zip_derived_cl35_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] :
      ( ~ ( 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_cl363,plain,
    ! [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_cl353,zip_derived_cl35]) ).

thf(zip_derived_cl3_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] :
      ( ( bin_count @ X0 @ 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_cl365,plain,
    ! [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_cl363,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl373,plain,
    ! [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_cl365,zip_derived_cl2]) ).

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,X10: $i,X11: $i] :
      ( ~ ( 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 )
      | ( 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_cl359,zip_derived_cl373]) ).

thf(zip_derived_cl258_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,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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl423,plain,
    ! [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_cl412,zip_derived_cl258]) ).

thf(zip_derived_cl193_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,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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl425,plain,
    ! [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_cl423,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl427,plain,
    ! [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_cl425,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl435,plain,
    ! [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_cl427,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl437,plain,
    ! [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_cl435,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl447,plain,
    ! [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_cl437,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl449,plain,
    ! [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_cl447,zip_derived_cl2]) ).

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,X11: $i] :
      ( ~ ( 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 )
      | ( 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_cl505,zip_derived_cl449]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl547,plain,
    ! [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_cl536,zip_derived_cl359]) ).

thf(zip_derived_cl258_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,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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl549,plain,
    ! [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_cl547,zip_derived_cl258]) ).

thf(zip_derived_cl193_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,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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl551,plain,
    ! [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_cl549,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,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] :
      ( ( 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_cl551,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,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,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_cl558,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_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] :
      ( ( 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_cl560,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl572,plain,
    ! [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_cl570,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl574,plain,
    ! [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_cl572,zip_derived_cl2]) ).

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,X11: $i] :
      ( ~ ( 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 )
      | ( 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_cl672,zip_derived_cl574]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl720,plain,
    ! [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_cl707,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl722,plain,
    ! [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_cl720,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl724,plain,
    ! [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_cl722,zip_derived_cl258]) ).

thf(zip_derived_cl193_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,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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl732,plain,
    ! [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_cl724,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl734,plain,
    ! [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_cl732,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl742,plain,
    ! [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_cl734,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl744,plain,
    ! [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_cl742,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl746,plain,
    ! [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_cl744,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl756,plain,
    ! [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_cl746,zip_derived_cl2]) ).

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] :
      ( ~ ( 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 )
      | ( 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_cl822,zip_derived_cl756]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl842,plain,
    ! [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_cl829,zip_derived_cl672]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl844,plain,
    ! [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_cl842,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl846,plain,
    ! [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_cl844,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,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] :
      ( ( 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_cl846,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,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,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_cl855,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,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,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_cl857,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,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] :
      ( ( 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_cl865,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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,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_cl867,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_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] :
      ( ( 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_cl869,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_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] :
      ( ( 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_cl879,zip_derived_cl2]) ).

thf(zip_derived_cl946,plain,
    ! [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_cl943,zip_derived_cl881]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl964,plain,
    ! [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_cl946,zip_derived_cl822]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl966,plain,
    ! [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_cl964,zip_derived_cl672]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl968,plain,
    ! [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_cl966,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl982,plain,
    ! [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_cl968,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,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,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_cl982,zip_derived_cl258]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl988,plain,
    ! [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_cl986,zip_derived_cl193]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl990,plain,
    ! [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_cl988,zip_derived_cl113]) ).

thf(zip_derived_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl992,plain,
    ! [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_cl990,zip_derived_cl90]) ).

thf(zip_derived_cl35_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,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_cl1002,plain,
    ! [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_cl992,zip_derived_cl35]) ).

thf(zip_derived_cl3_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,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_cl1004,plain,
    ! [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_cl1002,zip_derived_cl3]) ).

thf(zip_derived_cl2_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,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_cl1008,plain,
    ! [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_cl1004,zip_derived_cl2]) ).

thf(zip_derived_cl941_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] :
      ( ( 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_cl939,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] :
      ( ( 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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1008,zip_derived_cl941]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,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] :
      ( ( 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_cl1012,zip_derived_cl943]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,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 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1014,zip_derived_cl822]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,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] :
      ( ( 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_cl1016,zip_derived_cl672]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,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] :
      ( ( 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_cl1024,zip_derived_cl505]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,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,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_cl1026,zip_derived_cl359]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,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,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_cl1036,zip_derived_cl258]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl941_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] :
      ( ( 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_cl939,zip_derived_cl2]) ).

thf(zip_derived_cl1022_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] :
      ( ( 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_cl1020,zip_derived_cl2]) ).

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_cl3_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,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_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,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_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl941_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] :
      ( ( 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_cl939,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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] :
      ( ( 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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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,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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl943_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] :
      ( ( 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_cl933,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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] :
      ( ( bin_count @ X0 @ 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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl672_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] :
      ( ( 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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl822_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] :
      ( ( 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_cl820,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl672_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_cl662,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl505_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] :
      ( ( 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_cl503,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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] :
      ( ( 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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl359_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] :
      ( ( 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_cl357,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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_cl35_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] :
      ( ~ ( 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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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,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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl258_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,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_cl240,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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] :
      ( ( 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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl193_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] :
      ( ( 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_cl191,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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] :
      ( ( bin_count @ X0 @ 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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl113_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,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_cl111,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_cl90_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,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_cl78,zip_derived_cl2]) ).

thf(zip_derived_cl2_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,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_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,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_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,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_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,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_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_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(qed15,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 @ 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,X9: $i,X10: $i,X11: $i] :
      ( goal
      | ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 ) ),
    inference(cnf,[status(esa)],[qed15]) ).

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,X9: $i,X10: $i,X11: $i] :
      ~ ( bin_count @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 @ X7 @ X8 @ X9 @ X10 @ X11 @ 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,X9: $i,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ 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_cl65,plain,
    ! [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 @ 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_cl72,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl65]) ).

thf(zip_derived_cl98,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl72]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl98]) ).

thf(zip_derived_cl104,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl103]) ).

thf(zip_derived_cl163,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl104]) ).

thf(zip_derived_cl176,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl163]) ).

thf(zip_derived_cl177,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl176]) ).

thf(zip_derived_cl178,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl177]) ).

thf(zip_derived_cl217,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl178]) ).

thf(zip_derived_cl224,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl217]) ).

thf(zip_derived_cl225,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl224]) ).

thf(zip_derived_cl226,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,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,X9: $i,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl226]) ).

thf(zip_derived_cl268,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl227]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl268]) ).

thf(zip_derived_cl274,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl273]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl274]) ).

thf(zip_derived_cl276,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl275]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl276]) ).

thf(zip_derived_cl338,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl277]) ).

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,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl338]) ).

thf(zip_derived_cl344,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl343]) ).

thf(zip_derived_cl345,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl344]) ).

thf(zip_derived_cl346,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl345]) ).

thf(zip_derived_cl347,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl346]) ).

thf(zip_derived_cl348,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl347]) ).

thf(zip_derived_cl411,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl348]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl411]) ).

thf(zip_derived_cl417,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl416]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl417]) ).

thf(zip_derived_cl419,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl418]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl419]) ).

thf(zip_derived_cl421,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl420]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl421]) ).

thf(zip_derived_cl535,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl422]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl535]) ).

thf(zip_derived_cl541,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl540]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl541]) ).

thf(zip_derived_cl543,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl542]) ).

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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl543]) ).

thf(zip_derived_cl545,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl544]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl545]) ).

thf(zip_derived_cl553,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl546]) ).

thf(zip_derived_cl706,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl553]) ).

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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl706]) ).

thf(zip_derived_cl714,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl713]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl714]) ).

thf(zip_derived_cl716,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl715]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl716]) ).

thf(zip_derived_cl718,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl717]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl718]) ).

thf(zip_derived_cl726,plain,
    ! [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 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl719]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl726]) ).

thf(zip_derived_cl828,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl727]) ).

thf(zip_derived_cl835,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl828]) ).

thf(zip_derived_cl836,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl835]) ).

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,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl836]) ).

thf(zip_derived_cl838,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl837]) ).

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,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl838]) ).

thf(zip_derived_cl840,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl839]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl840]) ).

thf(zip_derived_cl848,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl841]) ).

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,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl848]) ).

thf(zip_derived_cl850,plain,
    ! [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 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl849]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl850]) ).

thf(zip_derived_cl950,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl945]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl950]) ).

thf(zip_derived_cl952,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl951]) ).

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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl952]) ).

thf(zip_derived_cl954,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl953]) ).

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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl954]) ).

thf(zip_derived_cl956,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl955]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl956]) ).

thf(zip_derived_cl958,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl957]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl958]) ).

thf(zip_derived_cl960,plain,
    ! [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 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl959]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl960]) ).

thf(zip_derived_cl962,plain,
    ! [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 @ n1 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl961]) ).

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 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl962]) ).

thf(zip_derived_cl970,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl963]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl970]) ).

thf(zip_derived_cl972,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl971]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl972]) ).

thf(zip_derived_cl974,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl973]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl974]) ).

thf(zip_derived_cl976,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl975]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl976]) ).

thf(zip_derived_cl978,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl977]) ).

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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl978]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl979]) ).

thf(zip_derived_cl1029,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl1028]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl943,zip_derived_cl1029]) ).

thf(zip_derived_cl1031,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl1030]) ).

thf(zip_derived_cl1032,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl1031]) ).

thf(zip_derived_cl1033,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl1032]) ).

thf(zip_derived_cl1034,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl1033]) ).

thf(zip_derived_cl1035,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl1034]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl1035]) ).

thf(zip_derived_cl1043,plain,
    ! [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 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1042]) ).

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,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 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1043]) ).

thf(zip_derived_cl1045,plain,
    ! [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 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1044]) ).

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,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 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1045]) ).

thf(zip_derived_cl1047,plain,
    ! [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 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1046]) ).

thf(zip_derived_cl1133,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference(demod,[status(thm)],[zip_derived_cl1038,zip_derived_cl1047]) ).

thf(zip_derived_cl1219,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl1133]) ).

thf(zip_derived_cl1220,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1219]) ).

thf(zip_derived_cl1221,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1220]) ).

thf(zip_derived_cl1222,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1221]) ).

thf(zip_derived_cl1223,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1222]) ).

thf(zip_derived_cl1224,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1223]) ).

thf(zip_derived_cl1225,plain,
    ! [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 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1022,zip_derived_cl1224]) ).

thf(zip_derived_cl1226,plain,
    ! [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 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl941,zip_derived_cl1225]) ).

thf(zip_derived_cl1227,plain,
    ! [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 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl943,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,X9: $i,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl822,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,X9: $i,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl1228]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl505,zip_derived_cl1229]) ).

thf(zip_derived_cl1231,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl359,zip_derived_cl1230]) ).

thf(zip_derived_cl1232,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl258,zip_derived_cl1231]) ).

thf(zip_derived_cl1233,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl193,zip_derived_cl1232]) ).

thf(zip_derived_cl1234,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl1233]) ).

thf(zip_derived_cl1235,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl90,zip_derived_cl1234]) ).

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] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl1235]) ).

thf(zip_derived_cl1237,plain,
    ! [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 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n1 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1236]) ).

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,X10: $i,X11: $i] :
      ~ ( bin_count @ X11 @ X10 @ X9 @ X8 @ X7 @ X6 @ X5 @ X4 @ X3 @ X2 @ X1 @ X0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1237]) ).

thf(zip_derived_cl1239,plain,
    $false,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1238]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO525+1.015 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AqOjGXgaiM true
% 0.13/0.35  % Computer : n022.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 : Sat Aug 26 07:35:10 EDT 2023
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.64  % Total configuration time : 435
% 0.20/0.64  % Estimated wc time : 1092
% 0.20/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 72.96/11.05  % Solved by fo/fo4.sh.
% 72.96/11.05  % done 1223 iterations in 10.118s
% 72.96/11.05  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 72.96/11.05  % SZS output start Refutation
% See solution above
% 73.46/11.08  
% 73.46/11.08  
% 73.46/11.08  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 73.46/11.08  % Terminating...
% 73.90/11.18  % Runner terminated.
% 73.90/11.20  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------