TSTP Solution File: SET724+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET724+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzARaNkSrZ true

% Computer : n029.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 16:15:45 EDT 2023

% Result   : Theorem 67.50s 10.23s
% Output   : Refutation 67.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  124 (  17 unt;  23 typ;   0 def)
%            Number of atoms       :  350 (  44 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1732 ( 184   ~; 204   |;  25   &;1299   @)
%                                         (   8 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  11 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   64 (  64   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   22 (  20 usr;   7 con; 0-5 aty)
%            Number of variables   :  272 (   0   ^; 268   !;   4   ?; 272   :)

% Comments : 
%------------------------------------------------------------------------------
thf(member_type,type,
    member: $i > $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

thf(zip_tseitin_2_type,type,
    zip_tseitin_2: $i > $i > $i > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i ).

thf(sk__6_type,type,
    sk__6: $i > $i > $i > $i > $i ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i > $i ).

thf(sk__type,type,
    sk_: $i > $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i > $i > $i > $i > $i ).

thf(compose_function_type,type,
    compose_function: $i > $i > $i > $i > $i > $i ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(maps_type,type,
    maps: $i > $i > $i > $o ).

thf(surjective_type,type,
    surjective: $i > $i > $i > $o ).

thf(zip_tseitin_1_type,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(apply_type,type,
    apply: $i > $i > $i > $o ).

thf(zip_tseitin_0_type,type,
    zip_tseitin_0: $i > $i > $i > $i > $i > $o ).

thf(equal_maps_type,type,
    equal_maps: $i > $i > $i > $i > $o ).

thf(sk__8_type,type,
    sk__8: $i > $i > $i > $i > $i ).

thf(sk__12_type,type,
    sk__12: $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(maps,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( maps @ F @ A @ B )
    <=> ( ! [X: $i,Y1: $i,Y2: $i] :
            ( ( ( member @ Y2 @ B )
              & ( member @ Y1 @ B )
              & ( member @ X @ A ) )
           => ( ( ( apply @ F @ X @ Y2 )
                & ( apply @ F @ X @ Y1 ) )
             => ( Y1 = Y2 ) ) )
        & ! [X: $i] :
            ( ( member @ X @ A )
           => ? [Y: $i] :
                ( ( member @ Y @ B )
                & ( apply @ F @ X @ Y ) ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_2: $i > $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [X: $i,B: $i,A: $i,F: $i] :
      ( ( zip_tseitin_2 @ X @ B @ A @ F )
    <=> ( ( member @ X @ A )
       => ? [Y: $i] :
            ( ( apply @ F @ X @ Y )
            & ( member @ Y @ B ) ) ) ) ).

thf(zf_stmt_2,type,
    zip_tseitin_1: $i > $i > $i > $i > $o ).

thf(zf_stmt_3,axiom,
    ! [Y2: $i,Y1: $i,X: $i,F: $i] :
      ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F )
    <=> ( ( ( apply @ F @ X @ Y1 )
          & ( apply @ F @ X @ Y2 ) )
       => ( Y1 = Y2 ) ) ) ).

thf(zf_stmt_4,type,
    zip_tseitin_0: $i > $i > $i > $i > $i > $o ).

thf(zf_stmt_5,axiom,
    ! [Y2: $i,Y1: $i,X: $i,B: $i,A: $i] :
      ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
    <=> ( ( member @ X @ A )
        & ( member @ Y1 @ B )
        & ( member @ Y2 @ B ) ) ) ).

thf(zf_stmt_6,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( maps @ F @ A @ B )
    <=> ( ! [X: $i] : ( zip_tseitin_2 @ X @ B @ A @ F )
        & ! [X: $i,Y1: $i,Y2: $i] :
            ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A )
           => ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( maps @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(thII15,conjecture,
    ! [F: $i,G: $i,H: $i,A: $i,B: $i,C: $i] :
      ( ( ( maps @ F @ A @ B )
        & ( maps @ G @ B @ C )
        & ( maps @ H @ B @ C )
        & ( surjective @ F @ A @ B )
        & ( equal_maps @ ( compose_function @ G @ F @ A @ B @ C ) @ ( compose_function @ H @ F @ A @ B @ C ) @ A @ C ) )
     => ( equal_maps @ G @ H @ B @ C ) ) ).

thf(zf_stmt_7,negated_conjecture,
    ~ ! [F: $i,G: $i,H: $i,A: $i,B: $i,C: $i] :
        ( ( ( maps @ F @ A @ B )
          & ( maps @ G @ B @ C )
          & ( maps @ H @ B @ C )
          & ( surjective @ F @ A @ B )
          & ( equal_maps @ ( compose_function @ G @ F @ A @ B @ C ) @ ( compose_function @ H @ F @ A @ B @ C ) @ A @ C ) )
       => ( equal_maps @ G @ H @ B @ C ) ),
    inference('cnf.neg',[status(esa)],[thII15]) ).

thf(zip_derived_cl37,plain,
    maps @ sk__12 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__12 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl37]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ ( sk_ @ X2 @ X3 @ X0 ) )
      | ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( apply @ sk__12 @ X0 @ ( sk_ @ sk__12 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl9]) ).

thf(zip_derived_cl12_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( maps @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl36,plain,
    maps @ sk__13 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__13 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl36]) ).

thf(zip_derived_cl9_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ X0 @ ( sk_ @ X2 @ X3 @ X0 ) )
      | ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i] :
      ( ( apply @ sk__13 @ X0 @ ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl9]) ).

thf(zip_derived_cl39,plain,
    surjective @ sk__11 @ sk__14 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(surjective,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( surjective @ F @ A @ B )
    <=> ! [Y: $i] :
          ( ( member @ Y @ B )
         => ? [E: $i] :
              ( ( apply @ F @ E @ Y )
              & ( member @ E @ A ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( apply @ X2 @ ( sk__10 @ X0 @ X3 @ X2 ) @ X0 )
      | ~ ( surjective @ X2 @ X3 @ X1 ) ),
    inference(cnf,[status(esa)],[surjective]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i] :
      ( ( apply @ sk__11 @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ X0 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl28]) ).

thf(compose_function,axiom,
    ! [G: $i,F: $i,A: $i,B: $i,C: $i,X: $i,Z: $i] :
      ( ( ( member @ X @ A )
        & ( member @ Z @ C ) )
     => ( ( apply @ ( compose_function @ G @ F @ A @ B @ C ) @ X @ Z )
      <=> ? [Y: $i] :
            ( ( apply @ G @ Y @ Z )
            & ( apply @ F @ X @ Y )
            & ( member @ Y @ B ) ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ~ ( member @ X2 @ X3 )
      | ( apply @ ( compose_function @ X4 @ X5 @ X1 @ X6 @ X3 ) @ X0 @ X2 )
      | ~ ( member @ X7 @ X6 )
      | ~ ( apply @ X5 @ X0 @ X7 )
      | ~ ( apply @ X4 @ X7 @ X2 ) ),
    inference(cnf,[status(esa)],[compose_function]) ).

thf(zip_derived_cl475,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ X2 @ X0 @ X1 )
      | ~ ( member @ X0 @ X3 )
      | ( apply @ ( compose_function @ X2 @ sk__11 @ X5 @ X3 @ X4 ) @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ X1 )
      | ~ ( member @ X1 @ X4 )
      | ~ ( member @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl19]) ).

thf(zip_derived_cl475_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ X2 @ X0 @ X1 )
      | ~ ( member @ X0 @ X3 )
      | ( apply @ ( compose_function @ X2 @ sk__11 @ X5 @ X3 @ X4 ) @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ X1 )
      | ~ ( member @ X1 @ X4 )
      | ~ ( member @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl19]) ).

thf(zip_derived_cl35,plain,
    equal_maps @ ( compose_function @ sk__12 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ ( compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ sk__14 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(equal_maps,axiom,
    ! [F: $i,G: $i,A: $i,B: $i] :
      ( ( equal_maps @ F @ G @ A @ B )
    <=> ! [X: $i,Y1: $i,Y2: $i] :
          ( ( ( member @ X @ A )
            & ( member @ Y1 @ B )
            & ( member @ Y2 @ B ) )
         => ( ( ( apply @ F @ X @ Y1 )
              & ( apply @ G @ X @ Y2 ) )
           => ( Y1 = Y2 ) ) ) ) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ~ ( apply @ X0 @ X1 @ X2 )
      | ( X3 = X2 )
      | ~ ( member @ X2 @ X4 )
      | ~ ( member @ X1 @ X5 )
      | ~ ( member @ X3 @ X4 )
      | ~ ( apply @ X6 @ X1 @ X3 )
      | ~ ( equal_maps @ X6 @ X0 @ X5 @ X4 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apply @ ( compose_function @ sk__12 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ X1 @ X0 )
      | ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ X1 @ sk__14 )
      | ~ ( member @ X2 @ sk__16 )
      | ( X0 = X2 )
      | ~ ( apply @ ( compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl35,zip_derived_cl20]) ).

thf(zip_derived_cl9769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ sk__14 )
      | ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( apply @ sk__12 @ X1 @ X0 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( apply @ ( compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ X2 )
      | ( X0 = X2 )
      | ~ ( member @ X2 @ sk__16 )
      | ~ ( member @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ sk__14 )
      | ~ ( member @ X0 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl65]) ).

thf(zip_derived_cl9779,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X2 @ sk__16 )
      | ( X0 = X2 )
      | ~ ( apply @ ( compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ X2 )
      | ~ ( apply @ sk__12 @ X1 @ X0 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ sk__14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9769]) ).

thf(zip_derived_cl39_004,plain,
    surjective @ sk__11 @ sk__14 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ ( sk__10 @ X0 @ X2 @ X3 ) @ X2 )
      | ~ ( surjective @ X3 @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[surjective]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ( member @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ sk__14 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl27]) ).

thf(zip_derived_cl9939,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( apply @ sk__12 @ X1 @ X0 )
      | ~ ( apply @ ( compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16 ) @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ X2 )
      | ( X0 = X2 )
      | ~ ( member @ X2 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9779,zip_derived_cl52]) ).

thf(zip_derived_cl9940,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ sk__14 )
      | ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( apply @ sk__13 @ X1 @ X0 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( member @ X0 @ sk__16 )
      | ( X2 = X0 )
      | ~ ( apply @ sk__12 @ X1 @ X2 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( member @ X2 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl475,zip_derived_cl9939]) ).

thf(zip_derived_cl9944,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X2 @ sk__16 )
      | ~ ( apply @ sk__12 @ X1 @ X2 )
      | ( X2 = X0 )
      | ~ ( apply @ sk__13 @ X1 @ X0 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ ( sk__10 @ X1 @ sk__14 @ sk__11 ) @ sk__14 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9940]) ).

thf(zip_derived_cl52_005,plain,
    ! [X0: $i] :
      ( ( member @ ( sk__10 @ X0 @ sk__14 @ sk__11 ) @ sk__14 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl27]) ).

thf(zip_derived_cl9945,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ sk__16 )
      | ~ ( member @ X1 @ sk__15 )
      | ~ ( apply @ sk__13 @ X1 @ X0 )
      | ( X2 = X0 )
      | ~ ( apply @ sk__12 @ X1 @ X2 )
      | ~ ( member @ X2 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl9944,zip_derived_cl52]) ).

thf(zip_derived_cl9974,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 )
      | ~ ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl9945]) ).

thf(zip_derived_cl9976,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9974]) ).

thf(zip_derived_cl47_006,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__13 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl36]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ ( sk_ @ X2 @ X3 @ X0 ) @ X3 )
      | ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl8]) ).

thf(zip_derived_cl10026,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl9976,zip_derived_cl58]) ).

thf(zip_derived_cl10160,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ( ( sk_ @ sk__12 @ sk__16 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl10026]) ).

thf(zip_derived_cl10163,plain,
    ! [X0: $i] :
      ( ~ ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ( ( sk_ @ sk__12 @ sk__16 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl10160]) ).

thf(zip_derived_cl46_007,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__12 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl37]) ).

thf(zip_derived_cl8_008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( member @ X0 @ X1 )
      | ( member @ ( sk_ @ X2 @ X3 @ X0 ) @ X3 )
      | ~ ( zip_tseitin_2 @ X0 @ X3 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl8]) ).

thf(zip_derived_cl10266,plain,
    ! [X0: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ( ( sk_ @ sk__12 @ sk__16 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10163,zip_derived_cl57]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( member @ ( sk__7 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( apply @ X0 @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ ( sk__7 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl63_009,plain,
    ! [X0: $i] :
      ( ( apply @ sk__12 @ X0 @ ( sk_ @ sk__12 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl9]) ).

thf(zip_derived_cl37_010,plain,
    maps @ sk__12 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ~ ( member @ X0 @ X3 )
      | ~ ( member @ X1 @ X3 )
      | ~ ( member @ X2 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X5 )
      | ~ ( maps @ X5 @ X4 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_6]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( member @ X2 @ X0 )
      | ~ ( member @ X3 @ X1 )
      | ~ ( member @ X4 @ X1 )
      | ~ ( maps @ X5 @ X0 @ X1 )
      | ( zip_tseitin_1 @ X4 @ X3 @ X2 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__12 )
      | ~ ( member @ X2 @ sk__16 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl53]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( apply @ X0 @ X1 @ X2 )
      | ~ ( apply @ X0 @ X1 @ X3 )
      | ( X2 = X3 )
      | ~ ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X2 @ sk__16 )
      | ( X1 = X2 )
      | ~ ( apply @ sk__12 @ X0 @ X2 )
      | ~ ( apply @ sk__12 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77,zip_derived_cl4]) ).

thf(zip_derived_cl107,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__12 @ sk__16 @ X0 ) )
      | ~ ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl84]) ).

thf(zip_derived_cl108,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ( X1
        = ( sk_ @ sk__12 @ sk__16 @ X0 ) )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl107]) ).

thf(zip_derived_cl57_011,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__12 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl8]) ).

thf(zip_derived_cl490,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ sk__12 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__12 @ sk__16 @ X0 ) )
      | ~ ( member @ X1 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl108,zip_derived_cl57]) ).

thf(zip_derived_cl536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( equal_maps @ sk__12 @ X0 @ X1 @ X2 )
      | ~ ( member @ ( sk__7 @ X2 @ X1 @ X0 @ sk__12 ) @ sk__16 )
      | ( ( sk__7 @ X2 @ X1 @ X0 @ sk__12 )
        = ( sk_ @ sk__12 @ sk__16 @ ( sk__6 @ X2 @ X1 @ X0 @ sk__12 ) ) )
      | ~ ( member @ ( sk__6 @ X2 @ X1 @ X0 @ sk__12 ) @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl490]) ).

thf(zip_derived_cl7600,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_maps @ sk__12 @ X0 @ X1 @ sk__16 )
      | ~ ( member @ ( sk__6 @ sk__16 @ X1 @ X0 @ sk__12 ) @ sk__15 )
      | ( ( sk__7 @ sk__16 @ X1 @ X0 @ sk__12 )
        = ( sk_ @ sk__12 @ sk__16 @ ( sk__6 @ sk__16 @ X1 @ X0 @ sk__12 ) ) )
      | ( equal_maps @ sk__12 @ X0 @ X1 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl536]) ).

thf(zip_derived_cl7604,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__7 @ sk__16 @ X1 @ X0 @ sk__12 )
        = ( sk_ @ sk__12 @ sk__16 @ ( sk__6 @ sk__16 @ X1 @ X0 @ sk__12 ) ) )
      | ~ ( member @ ( sk__6 @ sk__16 @ X1 @ X0 @ sk__12 ) @ sk__15 )
      | ( equal_maps @ sk__12 @ X0 @ X1 @ sk__16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7600]) ).

thf(zip_derived_cl7607,plain,
    ! [X0: $i] :
      ( ( equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16 )
      | ( equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16 )
      | ( ( sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12 )
        = ( sk_ @ sk__12 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl7604]) ).

thf(zip_derived_cl7611,plain,
    ! [X0: $i] :
      ( ( ( sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12 )
        = ( sk_ @ sk__12 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12 ) ) )
      | ( equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7607]) ).

thf(zip_derived_cl10339,plain,
    ! [X0: $i] :
      ( ( ( sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12 ) ) )
      | ~ ( member @ ( sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12 ) @ sk__15 )
      | ( equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl10266,zip_derived_cl7611]) ).

thf(zip_derived_cl23_012,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl18759,plain,
    ! [X0: $i] :
      ( ( equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16 )
      | ( ( sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl10339,zip_derived_cl23]) ).

thf(zip_derived_cl23_013,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( member @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ X2 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( member @ ( sk__8 @ X3 @ X2 @ X1 @ X0 ) @ X3 ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( apply @ X1 @ ( sk__6 @ X3 @ X2 @ X1 @ X0 ) @ ( sk__8 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl64_014,plain,
    ! [X0: $i] :
      ( ( apply @ sk__13 @ X0 @ ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl9]) ).

thf(zip_derived_cl36_015,plain,
    maps @ sk__13 @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl53_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( member @ X2 @ X0 )
      | ~ ( member @ X3 @ X1 )
      | ~ ( member @ X4 @ X1 )
      | ~ ( maps @ X5 @ X0 @ X1 )
      | ( zip_tseitin_1 @ X4 @ X3 @ X2 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl13]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__13 )
      | ~ ( member @ X2 @ sk__16 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl53]) ).

thf(zip_derived_cl4_017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( apply @ X0 @ X1 @ X2 )
      | ~ ( apply @ X0 @ X1 @ X3 )
      | ( X2 = X3 )
      | ~ ( zip_tseitin_1 @ X3 @ X2 @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl100,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X2 @ sk__16 )
      | ( X1 = X2 )
      | ~ ( apply @ sk__13 @ X0 @ X2 )
      | ~ ( apply @ sk__13 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl4]) ).

thf(zip_derived_cl118,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ sk__13 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl64,zip_derived_cl100]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ sk__16 )
      | ~ ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( apply @ sk__13 @ X0 @ X1 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl58_018,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__13 @ sk__16 @ X0 ) @ sk__16 )
      | ~ ( member @ X0 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl8]) ).

thf(zip_derived_cl642,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__15 )
      | ~ ( apply @ sk__13 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__13 @ sk__16 @ X0 ) )
      | ~ ( member @ X1 @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl121,zip_derived_cl58]) ).

thf(zip_derived_cl698,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( equal_maps @ X0 @ sk__13 @ X1 @ X2 )
      | ~ ( member @ ( sk__8 @ X2 @ X1 @ sk__13 @ X0 ) @ sk__16 )
      | ( ( sk__8 @ X2 @ X1 @ sk__13 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ X2 @ X1 @ sk__13 @ X0 ) ) )
      | ~ ( member @ ( sk__6 @ X2 @ X1 @ sk__13 @ X0 ) @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl642]) ).

thf(zip_derived_cl9528,plain,
    ! [X0: $i,X1: $i] :
      ( ( equal_maps @ X0 @ sk__13 @ X1 @ sk__16 )
      | ~ ( member @ ( sk__6 @ sk__16 @ X1 @ sk__13 @ X0 ) @ sk__15 )
      | ( ( sk__8 @ sk__16 @ X1 @ sk__13 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ X1 @ sk__13 @ X0 ) ) )
      | ( equal_maps @ X0 @ sk__13 @ X1 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl698]) ).

thf(zip_derived_cl9532,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__8 @ sk__16 @ X1 @ sk__13 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ X1 @ sk__13 @ X0 ) ) )
      | ~ ( member @ ( sk__6 @ sk__16 @ X1 @ sk__13 @ X0 ) @ sk__15 )
      | ( equal_maps @ X0 @ sk__13 @ X1 @ sk__16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9528]) ).

thf(zip_derived_cl9535,plain,
    ! [X0: $i] :
      ( ( equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16 )
      | ( equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16 )
      | ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ sk__13 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl9532]) ).

thf(zip_derived_cl9539,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ X0 )
        = ( sk_ @ sk__13 @ sk__16 @ ( sk__6 @ sk__16 @ sk__15 @ sk__13 @ X0 ) ) )
      | ( equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9535]) ).

thf(zip_derived_cl18811,plain,
    ( ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 )
      = ( sk__7 @ sk__16 @ sk__15 @ sk__13 @ sk__12 ) )
    | ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 )
    | ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl18759,zip_derived_cl9539]) ).

thf(zip_derived_cl34,plain,
    ~ ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl34_019,plain,
    ~ ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl18831,plain,
    ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 )
    = ( sk__7 @ sk__16 @ sk__15 @ sk__13 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18811,zip_derived_cl34,zip_derived_cl34]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( equal_maps @ X0 @ X1 @ X2 @ X3 )
      | ( ( sk__7 @ X3 @ X2 @ X1 @ X0 )
       != ( sk__8 @ X3 @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[equal_maps]) ).

thf(zip_derived_cl18834,plain,
    ( ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 )
     != ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 ) )
    | ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18831,zip_derived_cl25]) ).

thf(zip_derived_cl34_020,plain,
    ~ ( equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl18841,plain,
    ( ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 )
   != ( sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12 ) ),
    inference(demod,[status(thm)],[zip_derived_cl18834,zip_derived_cl34]) ).

thf(zip_derived_cl18842,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl18841]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SET724+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vzARaNkSrZ true
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sat Aug 26 10:07:09 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.23/0.67  % Total configuration time : 435
% 0.23/0.67  % Estimated wc time : 1092
% 0.23/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 67.50/10.23  % Solved by fo/fo4.sh.
% 67.50/10.23  % done 1634 iterations in 9.432s
% 67.50/10.23  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 67.50/10.23  % SZS output start Refutation
% See solution above
% 67.50/10.23  
% 67.50/10.23  
% 67.50/10.23  % Terminating...
% 67.71/10.30  % Runner terminated.
% 67.71/10.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------