TSTP Solution File: PUZ135_2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9tpa13C5WO true

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 13:31:19 EDT 2023

% Result   : Theorem 4.58s 1.26s
% Output   : Refutation 4.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  189 (  48 unt;  17 typ;   0 def)
%            Number of atoms       :  560 ( 559 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  900 ( 164   ~; 367   |;  15   &; 348   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  13 con; 0-2 aty)
%            Number of variables   :   83 (   0   ^;  83   !;   0   ?;  83   :)

% Comments : 
%------------------------------------------------------------------------------
thf(entry_type,type,
    entry: $tType ).

thf(knowheyan_type,type,
    knowheyan: $tType ).

thf(place_type,type,
    place: $tType ).

thf(first_type,type,
    first: place ).

thf(place_of_type,type,
    place_of: knowheyan > place ).

thf(laser_etching_type,type,
    laser_etching: entry ).

thf(d_type,type,
    d: knowheyan ).

thf(fourth_type,type,
    fourth: place ).

thf(third_type,type,
    third: place ).

thf(b_type,type,
    b: knowheyan ).

thf(collage_painting_type,type,
    collage_painting: entry ).

thf(c_type,type,
    c: knowheyan ).

thf(a_type,type,
    a: knowheyan ).

thf(entry_of_type,type,
    entry_of: knowheyan > entry ).

thf(holography_type,type,
    holography: entry ).

thf(reconstituted_materials_sculpture_type,type,
    reconstituted_materials_sculpture: entry ).

thf(second_type,type,
    second: place ).

thf(only_entries,axiom,
    ! [X: entry] :
      ( ( X = reconstituted_materials_sculpture )
      | ( X = laser_etching )
      | ( X = holography )
      | ( X = collage_painting ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: entry] :
      ( ( X0 = reconstituted_materials_sculpture )
      | ( X0 = laser_etching )
      | ( X0 = holography )
      | ( X0 = collage_painting ) ),
    inference(cnf,[status(esa)],[only_entries]) ).

thf(zip_derived_cl19_001,plain,
    ! [X0: entry] :
      ( ( X0 = reconstituted_materials_sculpture )
      | ( X0 = laser_etching )
      | ( X0 = holography )
      | ( X0 = collage_painting ) ),
    inference(cnf,[status(esa)],[only_entries]) ).

thf(unique_entrys,axiom,
    ! [X: knowheyan,Y: knowheyan] :
      ( ( X != Y )
     => ( ( entry_of @ X )
       != ( entry_of @ Y ) ) ) ).

thf(zip_derived_cl21,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( entry_of @ X1 )
       != ( entry_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_entrys]) ).

thf(zip_derived_cl176,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( entry_of @ X1 )
        = collage_painting )
      | ( ( entry_of @ X1 )
        = holography )
      | ( ( entry_of @ X1 )
        = laser_etching )
      | ( reconstituted_materials_sculpture
       != ( entry_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl21]) ).

thf(zip_derived_cl686,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( entry_of @ X0 )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X1 )
        = collage_painting )
      | ( ( entry_of @ X1 )
        = holography )
      | ( ( entry_of @ X1 )
        = laser_etching )
      | ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
      | ( X1 = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl176]) ).

thf(zip_derived_cl688,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( X1 = X0 )
      | ( ( entry_of @ X1 )
        = laser_etching )
      | ( ( entry_of @ X1 )
        = holography )
      | ( ( entry_of @ X1 )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl686]) ).

thf(laser_etching_info,axiom,
    ( ! [X: knowheyan] :
        ( ( ( entry_of @ X )
          = laser_etching )
       => ( ( X != a )
          & ( ( place_of @ X )
           != second ) ) )
    & ( ( entry_of @ b )
     != laser_etching ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: knowheyan] :
      ( ( X0 != a )
      | ( ( entry_of @ X0 )
       != laser_etching ) ),
    inference(cnf,[status(esa)],[laser_etching_info]) ).

thf(zip_derived_cl214,plain,
    ( ( entry_of @ a )
   != laser_etching ),
    inference(eq_res,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl4037,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ a )
        = collage_painting )
      | ( ( entry_of @ a )
        = holography )
      | ( a = X0 )
      | ( laser_etching != laser_etching ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl688,zip_derived_cl214]) ).

thf(zip_derived_cl4101,plain,
    ! [X0: knowheyan] :
      ( ( a = X0 )
      | ( ( entry_of @ a )
        = holography )
      | ( ( entry_of @ a )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4037]) ).

thf(collage_info,axiom,
    ! [X: knowheyan] :
      ( ( ( entry_of @ X )
        = collage_painting )
     => ( ( X != a )
        & ( X != c )
        & ( ( place_of @ X )
         != first )
        & ( ( place_of @ X )
         != second ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: knowheyan] :
      ( ( X0 != a )
      | ( ( entry_of @ X0 )
       != collage_painting ) ),
    inference(cnf,[status(esa)],[collage_info]) ).

thf(zip_derived_cl197,plain,
    ( ( entry_of @ a )
   != collage_painting ),
    inference(eq_res,[status(thm)],[zip_derived_cl27]) ).

thf(a_info,axiom,
    ( ( ( entry_of @ a )
     != holography )
    & ( ( place_of @ a )
     != first ) ) ).

thf(zip_derived_cl23,plain,
    ( ( entry_of @ a )
   != holography ),
    inference(cnf,[status(esa)],[a_info]) ).

thf(zip_derived_cl4102,plain,
    ! [X0: knowheyan] :
      ( ( a = X0 )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4101,zip_derived_cl197,zip_derived_cl23]) ).

thf(only_places,axiom,
    ! [X: place] :
      ( ( X = fourth )
      | ( X = third )
      | ( X = second )
      | ( X = first ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: place] :
      ( ( X0 = fourth )
      | ( X0 = third )
      | ( X0 = second )
      | ( X0 = first ) ),
    inference(cnf,[status(esa)],[only_places]) ).

thf(zip_derived_cl19_002,plain,
    ! [X0: entry] :
      ( ( X0 = reconstituted_materials_sculpture )
      | ( X0 = laser_etching )
      | ( X0 = holography )
      | ( X0 = collage_painting ) ),
    inference(cnf,[status(esa)],[only_entries]) ).

thf(fourth_info,axiom,
    ! [X: knowheyan] :
      ( ( ( place_of @ X )
        = fourth )
     => ( ( ( entry_of @ X )
         != reconstituted_materials_sculpture )
        & ( ( entry_of @ X )
         != holography ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
       != reconstituted_materials_sculpture )
      | ( ( place_of @ X0 )
       != fourth ) ),
    inference(cnf,[status(esa)],[fourth_info]) ).

thf(zip_derived_cl194,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( reconstituted_materials_sculpture != reconstituted_materials_sculpture )
      | ( ( place_of @ X0 )
       != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl25]) ).

thf(zip_derived_cl195,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != fourth )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl20_003,plain,
    ! [X0: place] :
      ( ( X0 = fourth )
      | ( X0 = third )
      | ( X0 = second )
      | ( X0 = first ) ),
    inference(cnf,[status(esa)],[only_places]) ).

thf(fourth_info2,axiom,
    ( ! [X: knowheyan] :
        ( ( ( entry_of @ X )
          = laser_etching )
       => ( ( place_of @ X )
         != fourth ) )
    & ( ( place_of @ b )
     != fourth ) ) ).

thf(zip_derived_cl32,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != fourth )
      | ( ( entry_of @ X0 )
       != laser_etching ) ),
    inference(cnf,[status(esa)],[fourth_info2]) ).

thf(zip_derived_cl230,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
        = first )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = third )
      | ( fourth != fourth )
      | ( ( entry_of @ X0 )
       != laser_etching ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl32]) ).

thf(zip_derived_cl232,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
       != laser_etching )
      | ( ( place_of @ X0 )
        = third )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl230]) ).

thf(zip_derived_cl373,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
        = collage_painting )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( place_of @ X0 )
       != fourth )
      | ( laser_etching != laser_etching )
      | ( ( place_of @ X0 )
        = third )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = first ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl232]) ).

thf(zip_derived_cl388,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
        = first )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = third )
      | ( ( place_of @ X0 )
       != fourth )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl373]) ).

thf(zip_derived_cl26,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
       != holography )
      | ( ( place_of @ X0 )
       != fourth ) ),
    inference(cnf,[status(esa)],[fourth_info]) ).

thf(zip_derived_cl691,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
        = collage_painting )
      | ( ( place_of @ X0 )
       != fourth )
      | ( ( place_of @ X0 )
        = third )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = first )
      | ( holography != holography )
      | ( ( place_of @ X0 )
       != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl26]) ).

thf(zip_derived_cl710,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
        = first )
      | ( ( place_of @ X0 )
        = second )
      | ( ( place_of @ X0 )
        = third )
      | ( ( place_of @ X0 )
       != fourth )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl691]) ).

thf(zip_derived_cl28,plain,
    ! [X0: knowheyan] :
      ( ( X0 != c )
      | ( ( entry_of @ X0 )
       != collage_painting ) ),
    inference(cnf,[status(esa)],[collage_info]) ).

thf(zip_derived_cl212,plain,
    ( ( entry_of @ c )
   != collage_painting ),
    inference(eq_res,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl759,plain,
    ( ( ( place_of @ c )
     != fourth )
    | ( ( place_of @ c )
      = third )
    | ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = first )
    | ( collage_painting != collage_painting ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl710,zip_derived_cl212]) ).

thf(zip_derived_cl774,plain,
    ( ( ( place_of @ c )
      = first )
    | ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = third )
    | ( ( place_of @ c )
     != fourth ) ),
    inference(simplify,[status(thm)],[zip_derived_cl759]) ).

thf(third_info,axiom,
    ( ( ( place_of @ c )
     != third )
    & ( ( place_of @ b )
     != third ) ) ).

thf(zip_derived_cl33,plain,
    ( ( place_of @ c )
   != third ),
    inference(cnf,[status(esa)],[third_info]) ).

thf(zip_derived_cl775,plain,
    ( ( ( place_of @ c )
      = first )
    | ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
     != fourth ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl774,zip_derived_cl33]) ).

thf(zip_derived_cl790,plain,
    ( ( ( place_of @ c )
      = first )
    | ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = third )
    | ( fourth = first )
    | ( fourth = second )
    | ( fourth != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl775]) ).

thf(zip_derived_cl794,plain,
    ( ( fourth = second )
    | ( fourth = first )
    | ( ( place_of @ c )
      = third )
    | ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl790]) ).

thf(zip_derived_cl33_004,plain,
    ( ( place_of @ c )
   != third ),
    inference(cnf,[status(esa)],[third_info]) ).

thf(first_not_fourth,axiom,
    first != fourth ).

thf(zip_derived_cl14,plain,
    first != fourth,
    inference(cnf,[status(esa)],[first_not_fourth]) ).

thf(second_not_fourth,axiom,
    second != fourth ).

thf(zip_derived_cl16,plain,
    second != fourth,
    inference(cnf,[status(esa)],[second_not_fourth]) ).

thf(zip_derived_cl795,plain,
    ( ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl794,zip_derived_cl33,zip_derived_cl14,zip_derived_cl16]) ).

thf(zip_derived_cl37,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != second )
      | ( ( entry_of @ X0 )
       != laser_etching ) ),
    inference(cnf,[status(esa)],[laser_etching_info]) ).

thf(zip_derived_cl802,plain,
    ( ( ( place_of @ c )
      = first )
    | ( second != second )
    | ( ( entry_of @ c )
     != laser_etching ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl795,zip_derived_cl37]) ).

thf(zip_derived_cl841,plain,
    ( ( ( entry_of @ c )
     != laser_etching )
    | ( ( place_of @ c )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl802]) ).

thf(zip_derived_cl4170,plain,
    ( ( ( entry_of @ c )
      = collage_painting )
    | ( ( entry_of @ c )
      = holography )
    | ( a = c )
    | ( laser_etching != laser_etching )
    | ( ( place_of @ c )
      = first ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4102,zip_derived_cl841]) ).

thf(zip_derived_cl4193,plain,
    ( ( ( place_of @ c )
      = first )
    | ( a = c )
    | ( ( entry_of @ c )
      = holography )
    | ( ( entry_of @ c )
      = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4170]) ).

thf(zip_derived_cl212_005,plain,
    ( ( entry_of @ c )
   != collage_painting ),
    inference(eq_res,[status(thm)],[zip_derived_cl28]) ).

thf(a_not_c,axiom,
    a != c ).

thf(zip_derived_cl1,plain,
    a != c,
    inference(cnf,[status(esa)],[a_not_c]) ).

thf(zip_derived_cl4194,plain,
    ( ( ( place_of @ c )
      = first )
    | ( ( entry_of @ c )
      = holography ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4193,zip_derived_cl212,zip_derived_cl1]) ).

thf(zip_derived_cl4102_006,plain,
    ! [X0: knowheyan] :
      ( ( a = X0 )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4101,zip_derived_cl197,zip_derived_cl23]) ).

thf(zip_derived_cl35,plain,
    ( ( entry_of @ b )
   != laser_etching ),
    inference(cnf,[status(esa)],[laser_etching_info]) ).

thf(zip_derived_cl4167,plain,
    ( ( ( entry_of @ b )
      = collage_painting )
    | ( ( entry_of @ b )
      = holography )
    | ( a = b )
    | ( laser_etching != laser_etching ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4102,zip_derived_cl35]) ).

thf(zip_derived_cl4189,plain,
    ( ( a = b )
    | ( ( entry_of @ b )
      = holography )
    | ( ( entry_of @ b )
      = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4167]) ).

thf(zip_derived_cl20_007,plain,
    ! [X0: place] :
      ( ( X0 = fourth )
      | ( X0 = third )
      | ( X0 = second )
      | ( X0 = first ) ),
    inference(cnf,[status(esa)],[only_places]) ).

thf(zip_derived_cl31,plain,
    ( ( place_of @ b )
   != fourth ),
    inference(cnf,[status(esa)],[fourth_info2]) ).

thf(zip_derived_cl129,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ b )
      = second )
    | ( ( place_of @ b )
      = third )
    | ( fourth != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl31]) ).

thf(zip_derived_cl164,plain,
    ( ( ( place_of @ b )
      = third )
    | ( ( place_of @ b )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl34,plain,
    ( ( place_of @ b )
   != third ),
    inference(cnf,[status(esa)],[third_info]) ).

thf(zip_derived_cl165,plain,
    ( ( ( place_of @ b )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl164,zip_derived_cl34]) ).

thf(zip_derived_cl30,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != second )
      | ( ( entry_of @ X0 )
       != collage_painting ) ),
    inference(cnf,[status(esa)],[collage_info]) ).

thf(zip_derived_cl228,plain,
    ( ( ( place_of @ b )
      = first )
    | ( second != second )
    | ( ( entry_of @ b )
     != collage_painting ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl30]) ).

thf(zip_derived_cl229,plain,
    ( ( ( entry_of @ b )
     != collage_painting )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl228]) ).

thf(zip_derived_cl29,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != first )
      | ( ( entry_of @ X0 )
       != collage_painting ) ),
    inference(cnf,[status(esa)],[collage_info]) ).

thf(zip_derived_cl240,plain,
    ( ( entry_of @ b )
   != collage_painting ),
    inference(clc,[status(thm)],[zip_derived_cl229,zip_derived_cl29]) ).

thf(a_not_b,axiom,
    a != b ).

thf(zip_derived_cl0,plain,
    a != b,
    inference(cnf,[status(esa)],[a_not_b]) ).

thf(zip_derived_cl4190,plain,
    ( ( entry_of @ b )
    = holography ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4189,zip_derived_cl240,zip_derived_cl0]) ).

thf(zip_derived_cl21_008,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( entry_of @ X1 )
       != ( entry_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_entrys]) ).

thf(zip_derived_cl4197,plain,
    ! [X0: knowheyan] :
      ( ( ( entry_of @ X0 )
       != holography )
      | ( X0 = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4190,zip_derived_cl21]) ).

thf(zip_derived_cl4297,plain,
    ( ( ( place_of @ c )
      = first )
    | ( holography != holography )
    | ( c = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4194,zip_derived_cl4197]) ).

thf(zip_derived_cl4343,plain,
    ( ( c = b )
    | ( ( place_of @ c )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl4297]) ).

thf(b_not_c,axiom,
    b != c ).

thf(zip_derived_cl3,plain,
    b != c,
    inference(cnf,[status(esa)],[b_not_c]) ).

thf(zip_derived_cl4344,plain,
    ( ( place_of @ c )
    = first ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4343,zip_derived_cl3]) ).

thf(only_knowheyans,axiom,
    ! [X: knowheyan] :
      ( ( X = d )
      | ( X = c )
      | ( X = b )
      | ( X = a ) ) ).

thf(zip_derived_cl18,plain,
    ! [X0: knowheyan] :
      ( ( X0 = d )
      | ( X0 = c )
      | ( X0 = b )
      | ( X0 = a ) ),
    inference(cnf,[status(esa)],[only_knowheyans]) ).

thf(zip_derived_cl795_009,plain,
    ( ( ( place_of @ c )
      = second )
    | ( ( place_of @ c )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl794,zip_derived_cl33,zip_derived_cl14,zip_derived_cl16]) ).

thf(zip_derived_cl165_010,plain,
    ( ( ( place_of @ b )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl164,zip_derived_cl34]) ).

thf(unique_places,axiom,
    ! [X: knowheyan,Y: knowheyan] :
      ( ( X != Y )
     => ( ( place_of @ X )
       != ( place_of @ Y ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( place_of @ X1 )
       != ( place_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_places]) ).

thf(zip_derived_cl184,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( second
       != ( place_of @ X0 ) )
      | ( b = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl22]) ).

thf(zip_derived_cl808,plain,
    ( ( ( place_of @ c )
      = first )
    | ( ( place_of @ b )
      = first )
    | ( second != second )
    | ( b = c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl795,zip_derived_cl184]) ).

thf(zip_derived_cl846,plain,
    ( ( b = c )
    | ( ( place_of @ b )
      = first )
    | ( ( place_of @ c )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl808]) ).

thf(zip_derived_cl3_011,plain,
    b != c,
    inference(cnf,[status(esa)],[b_not_c]) ).

thf(zip_derived_cl847,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ c )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl846,zip_derived_cl3]) ).

thf(zip_derived_cl20_012,plain,
    ! [X0: place] :
      ( ( X0 = fourth )
      | ( X0 = third )
      | ( X0 = second )
      | ( X0 = first ) ),
    inference(cnf,[status(esa)],[only_places]) ).

thf(zip_derived_cl195_013,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != fourth )
      | ( ( entry_of @ X0 )
        = laser_etching )
      | ( ( entry_of @ X0 )
        = holography )
      | ( ( entry_of @ X0 )
        = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl214_014,plain,
    ( ( entry_of @ a )
   != laser_etching ),
    inference(eq_res,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl378,plain,
    ( ( ( entry_of @ a )
      = collage_painting )
    | ( ( entry_of @ a )
      = holography )
    | ( ( place_of @ a )
     != fourth )
    | ( laser_etching != laser_etching ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl195,zip_derived_cl214]) ).

thf(zip_derived_cl391,plain,
    ( ( ( place_of @ a )
     != fourth )
    | ( ( entry_of @ a )
      = holography )
    | ( ( entry_of @ a )
      = collage_painting ) ),
    inference(simplify,[status(thm)],[zip_derived_cl378]) ).

thf(zip_derived_cl197_015,plain,
    ( ( entry_of @ a )
   != collage_painting ),
    inference(eq_res,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl23_016,plain,
    ( ( entry_of @ a )
   != holography ),
    inference(cnf,[status(esa)],[a_info]) ).

thf(zip_derived_cl392,plain,
    ( ( place_of @ a )
   != fourth ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl391,zip_derived_cl197,zip_derived_cl23]) ).

thf(zip_derived_cl398,plain,
    ( ( ( place_of @ a )
      = first )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ a )
      = third )
    | ( fourth != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl392]) ).

thf(zip_derived_cl401,plain,
    ( ( ( place_of @ a )
      = third )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ a )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl398]) ).

thf(zip_derived_cl24,plain,
    ( ( place_of @ a )
   != first ),
    inference(cnf,[status(esa)],[a_info]) ).

thf(zip_derived_cl402,plain,
    ( ( ( place_of @ a )
      = third )
    | ( ( place_of @ a )
      = second ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl401,zip_derived_cl24]) ).

thf(zip_derived_cl18_017,plain,
    ! [X0: knowheyan] :
      ( ( X0 = d )
      | ( X0 = c )
      | ( X0 = b )
      | ( X0 = a ) ),
    inference(cnf,[status(esa)],[only_knowheyans]) ).

thf(zip_derived_cl20_018,plain,
    ! [X0: place] :
      ( ( X0 = fourth )
      | ( X0 = third )
      | ( X0 = second )
      | ( X0 = first ) ),
    inference(cnf,[status(esa)],[only_places]) ).

thf(zip_derived_cl165_019,plain,
    ( ( ( place_of @ b )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl164,zip_derived_cl34]) ).

thf(zip_derived_cl18_020,plain,
    ! [X0: knowheyan] :
      ( ( X0 = d )
      | ( X0 = c )
      | ( X0 = b )
      | ( X0 = a ) ),
    inference(cnf,[status(esa)],[only_knowheyans]) ).

thf(places,conjecture,
    ( ( ( place_of @ a )
      = third )
    & ( ( place_of @ b )
      = second )
    & ( ( place_of @ c )
      = first )
    & ( ( place_of @ d )
      = fourth ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( place_of @ a )
        = third )
      & ( ( place_of @ b )
        = second )
      & ( ( place_of @ c )
        = first )
      & ( ( place_of @ d )
        = fourth ) ),
    inference('cnf.neg',[status(esa)],[places]) ).

thf(zip_derived_cl38,plain,
    ( ( ( place_of @ a )
     != third )
    | ( ( place_of @ b )
     != second )
    | ( ( place_of @ c )
     != first )
    | ( ( place_of @ d )
     != fourth ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl206,plain,
    ! [X0: knowheyan] :
      ( ( X0 = b )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ X0 )
       != third )
      | ( ( place_of @ b )
       != second )
      | ( ( place_of @ c )
       != first )
      | ( ( place_of @ d )
       != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl38]) ).

thf(zip_derived_cl246,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( X0 = b )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ X0 )
       != third )
      | ( second != second )
      | ( ( place_of @ c )
       != first )
      | ( ( place_of @ d )
       != fourth ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl206]) ).

thf(zip_derived_cl249,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ d )
       != fourth )
      | ( ( place_of @ c )
       != first )
      | ( ( place_of @ X0 )
       != third )
      | ( X0 = d )
      | ( X0 = c )
      | ( X0 = b )
      | ( ( place_of @ b )
        = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl246]) ).

thf(zip_derived_cl256,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ d )
        = first )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = third )
      | ( fourth != fourth )
      | ( ( place_of @ c )
       != first )
      | ( ( place_of @ X0 )
       != third )
      | ( X0 = d )
      | ( X0 = c )
      | ( X0 = b )
      | ( ( place_of @ b )
        = first ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl249]) ).

thf(zip_derived_cl259,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( X0 = b )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ X0 )
       != third )
      | ( ( place_of @ c )
       != first )
      | ( ( place_of @ d )
        = third )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl256]) ).

thf(zip_derived_cl281,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( X0 = a )
      | ( X0 = b )
      | ( X0 = d )
      | ( ( place_of @ b )
        = first )
      | ( X1 = b )
      | ( X1 = X0 )
      | ( X1 = d )
      | ( ( place_of @ X1 )
       != third )
      | ( ( place_of @ X0 )
       != first )
      | ( ( place_of @ d )
        = third )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = first ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl259]) ).

thf(zip_derived_cl418,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ a )
        = second )
      | ( X0 = a )
      | ( X0 = b )
      | ( X0 = d )
      | ( ( place_of @ b )
        = first )
      | ( a = b )
      | ( a = X0 )
      | ( a = d )
      | ( third != third )
      | ( ( place_of @ X0 )
       != first )
      | ( ( place_of @ d )
        = third )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = first ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl281]) ).

thf(zip_derived_cl434,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ d )
        = first )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = third )
      | ( ( place_of @ X0 )
       != first )
      | ( a = d )
      | ( a = b )
      | ( ( place_of @ b )
        = first )
      | ( X0 = d )
      | ( X0 = b )
      | ( X0 = a )
      | ( ( place_of @ a )
        = second ) ),
    inference(simplify,[status(thm)],[zip_derived_cl418]) ).

thf(zip_derived_cl0_021,plain,
    a != b,
    inference(cnf,[status(esa)],[a_not_b]) ).

thf(a_not_d,axiom,
    a != d ).

thf(zip_derived_cl2,plain,
    a != d,
    inference(cnf,[status(esa)],[a_not_d]) ).

thf(zip_derived_cl435,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ d )
        = first )
      | ( ( place_of @ d )
        = second )
      | ( ( place_of @ d )
        = third )
      | ( ( place_of @ X0 )
       != first )
      | ( ( place_of @ b )
        = first )
      | ( X0 = d )
      | ( X0 = b )
      | ( X0 = a )
      | ( ( place_of @ a )
        = second ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl434,zip_derived_cl0,zip_derived_cl2]) ).

thf(zip_derived_cl907,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ d )
      = third )
    | ( first != first )
    | ( ( place_of @ b )
      = first )
    | ( c = d )
    | ( c = b )
    | ( c = a )
    | ( ( place_of @ a )
      = second ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl847,zip_derived_cl435]) ).

thf(zip_derived_cl948,plain,
    ( ( ( place_of @ a )
      = second )
    | ( c = a )
    | ( c = b )
    | ( c = d )
    | ( ( place_of @ d )
      = third )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl907]) ).

thf(c_not_d,axiom,
    c != d ).

thf(zip_derived_cl5,plain,
    c != d,
    inference(cnf,[status(esa)],[c_not_d]) ).

thf(zip_derived_cl3_022,plain,
    b != c,
    inference(cnf,[status(esa)],[b_not_c]) ).

thf(zip_derived_cl1_023,plain,
    a != c,
    inference(cnf,[status(esa)],[a_not_c]) ).

thf(zip_derived_cl949,plain,
    ( ( ( place_of @ a )
      = second )
    | ( ( place_of @ d )
      = third )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl948,zip_derived_cl5,zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl402_024,plain,
    ( ( ( place_of @ a )
      = third )
    | ( ( place_of @ a )
      = second ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl401,zip_derived_cl24]) ).

thf(zip_derived_cl22_025,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( place_of @ X1 )
       != ( place_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_places]) ).

thf(zip_derived_cl404,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ a )
        = second )
      | ( ( place_of @ X0 )
       != third )
      | ( X0 = a ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl402,zip_derived_cl22]) ).

thf(zip_derived_cl1023,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ a )
      = second )
    | ( third != third )
    | ( d = a ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl949,zip_derived_cl404]) ).

thf(zip_derived_cl1059,plain,
    ( ( d = a )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1023]) ).

thf(zip_derived_cl2_026,plain,
    a != d,
    inference(cnf,[status(esa)],[a_not_d]) ).

thf(zip_derived_cl1060,plain,
    ( ( ( place_of @ a )
      = second )
    | ( ( place_of @ d )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1059,zip_derived_cl2]) ).

thf(zip_derived_cl184_027,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( second
       != ( place_of @ X0 ) )
      | ( b = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl22]) ).

thf(zip_derived_cl1098,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ b )
      = first )
    | ( second != second )
    | ( b = d ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1060,zip_derived_cl184]) ).

thf(zip_derived_cl1135,plain,
    ( ( b = d )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1098]) ).

thf(b_not_d,axiom,
    b != d ).

thf(zip_derived_cl4,plain,
    b != d,
    inference(cnf,[status(esa)],[b_not_d]) ).

thf(zip_derived_cl1136,plain,
    ( ( ( place_of @ a )
      = second )
    | ( ( place_of @ d )
      = first )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1135,zip_derived_cl4]) ).

thf(zip_derived_cl847_028,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ c )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl846,zip_derived_cl3]) ).

thf(zip_derived_cl22_029,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( place_of @ X1 )
       != ( place_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_places]) ).

thf(zip_derived_cl890,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( ( place_of @ X0 )
       != first )
      | ( X0 = c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl847,zip_derived_cl22]) ).

thf(zip_derived_cl1310,plain,
    ( ( ( place_of @ b )
      = first )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ b )
      = first )
    | ( first != first )
    | ( d = c ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1136,zip_derived_cl890]) ).

thf(zip_derived_cl1316,plain,
    ( ( d = c )
    | ( ( place_of @ a )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1310]) ).

thf(zip_derived_cl5_030,plain,
    c != d,
    inference(cnf,[status(esa)],[c_not_d]) ).

thf(zip_derived_cl1317,plain,
    ( ( ( place_of @ a )
      = second )
    | ( ( place_of @ b )
      = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1316,zip_derived_cl5]) ).

thf(zip_derived_cl1360,plain,
    ! [X0: knowheyan] :
      ( ( X0 = a )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ a )
        = second )
      | ( ( place_of @ X0 )
        = first ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl18,zip_derived_cl1317]) ).

thf(zip_derived_cl184_031,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( second
       != ( place_of @ X0 ) )
      | ( b = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl22]) ).

thf(zip_derived_cl1866,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
        = first )
      | ( X0 = d )
      | ( X0 = c )
      | ( X0 = a )
      | ( ( place_of @ b )
        = first )
      | ( second != second )
      | ( b = a ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl184]) ).

thf(zip_derived_cl1951,plain,
    ! [X0: knowheyan] :
      ( ( b = a )
      | ( ( place_of @ b )
        = first )
      | ( X0 = a )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ X0 )
        = first ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1866]) ).

thf(zip_derived_cl0_032,plain,
    a != b,
    inference(cnf,[status(esa)],[a_not_b]) ).

thf(zip_derived_cl1952,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ b )
        = first )
      | ( X0 = a )
      | ( X0 = c )
      | ( X0 = d )
      | ( ( place_of @ X0 )
        = first ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1951,zip_derived_cl0]) ).

thf(zip_derived_cl2618,plain,
    ( ( first != first )
    | ( b = d )
    | ( b = c )
    | ( b = a )
    | ( ( place_of @ b )
      = first ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1952]) ).

thf(zip_derived_cl2620,plain,
    ( ( ( place_of @ b )
      = first )
    | ( b = a )
    | ( b = c )
    | ( b = d ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2618]) ).

thf(zip_derived_cl4_033,plain,
    b != d,
    inference(cnf,[status(esa)],[b_not_d]) ).

thf(zip_derived_cl3_034,plain,
    b != c,
    inference(cnf,[status(esa)],[b_not_c]) ).

thf(zip_derived_cl0_035,plain,
    a != b,
    inference(cnf,[status(esa)],[a_not_b]) ).

thf(zip_derived_cl2621,plain,
    ( ( place_of @ b )
    = first ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2620,zip_derived_cl4,zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl22_036,plain,
    ! [X0: knowheyan,X1: knowheyan] :
      ( ( ( place_of @ X1 )
       != ( place_of @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[unique_places]) ).

thf(zip_derived_cl2707,plain,
    ! [X0: knowheyan] :
      ( ( ( place_of @ X0 )
       != first )
      | ( X0 = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2621,zip_derived_cl22]) ).

thf(zip_derived_cl4368,plain,
    ( ( first != first )
    | ( c = b ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4344,zip_derived_cl2707]) ).

thf(zip_derived_cl4407,plain,
    c = b,
    inference(simplify,[status(thm)],[zip_derived_cl4368]) ).

thf(zip_derived_cl3_037,plain,
    b != c,
    inference(cnf,[status(esa)],[b_not_c]) ).

thf(zip_derived_cl4408,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl4407,zip_derived_cl3]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ135_2 : TPTP v8.1.2. Released v5.1.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9tpa13C5WO true
% 0.13/0.35  % Computer : n023.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 22:13:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.58/1.26  % Solved by fo/fo6_bce.sh.
% 4.58/1.26  % BCE start: 39
% 4.58/1.26  % BCE eliminated: 0
% 4.58/1.26  % PE start: 39
% 4.58/1.26  logic: eq
% 4.58/1.26  % PE eliminated: 0
% 4.58/1.26  % done 1013 iterations in 0.516s
% 4.58/1.26  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.58/1.26  % SZS output start Refutation
% See solution above
% 4.58/1.26  
% 4.58/1.26  
% 4.58/1.26  % Terminating...
% 5.13/1.36  % Runner terminated.
% 5.13/1.37  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------