TSTP Solution File: SET721+4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET721+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OLOu7RS6Dm true

% Computer : n004.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 16:15:44 EDT 2023

% Result   : Theorem 32.08s 5.33s
% Output   : Refutation 32.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  126 (  24 unt;  20 typ;   0 def)
%            Number of atoms       :  337 (  40 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1671 ( 169   ~; 193   |;  20   &;1271   @)
%                                         (   7 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   6 con; 0-5 aty)
%            Number of variables   :  263 (   0   ^; 260   !;   3   ?; 263   :)

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

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

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

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

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

thf(sk__9_type,type,
    sk__9: $i ).

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

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

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

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

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

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

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

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

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(thII12,conjecture,
    ! [F: $i,G: $i,A: $i,B: $i,C: $i] :
      ( ( ( maps @ F @ A @ B )
        & ( maps @ G @ B @ C )
        & ( injective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) )
     => ( injective @ F @ A @ B ) ) ).

thf(zf_stmt_7,negated_conjecture,
    ~ ! [F: $i,G: $i,A: $i,B: $i,C: $i] :
        ( ( ( maps @ F @ A @ B )
          & ( maps @ G @ B @ C )
          & ( injective @ ( compose_function @ G @ F @ A @ B @ C ) @ A @ C ) )
       => ( injective @ F @ A @ B ) ),
    inference('cnf.neg',[status(esa)],[thII12]) ).

thf(zip_derived_cl31,plain,
    maps @ sk__10 @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__13 @ sk__12 @ sk__10 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl31]) ).

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_cl49,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__10 @ sk__13 @ X0 ) @ sk__13 )
      | ~ ( member @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl8]) ).

thf(zip_derived_cl40_001,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__13 @ sk__12 @ sk__10 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl31]) ).

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_cl56,plain,
    ! [X0: $i] :
      ( ( apply @ sk__10 @ X0 @ ( sk_ @ sk__10 @ sk__13 @ X0 ) )
      | ~ ( member @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl9]) ).

thf(injective,axiom,
    ! [F: $i,A: $i,B: $i] :
      ( ( injective @ F @ A @ B )
    <=> ! [X1: $i,X2: $i,Y: $i] :
          ( ( ( member @ X1 @ A )
            & ( member @ X2 @ A )
            & ( member @ Y @ B ) )
         => ( ( ( apply @ F @ X1 @ Y )
              & ( apply @ F @ X2 @ Y ) )
           => ( X1 = X2 ) ) ) ) ).

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

thf(zip_derived_cl22_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( member @ ( sk__7 @ X2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[injective]) ).

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

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

thf(zip_derived_cl12_003,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_cl32,plain,
    maps @ sk__9 @ sk__11 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__12 @ sk__11 @ sk__9 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl32]) ).

thf(zip_derived_cl9_004,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_cl55,plain,
    ! [X0: $i] :
      ( ( apply @ sk__9 @ X0 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl9]) ).

thf(zip_derived_cl32_005,plain,
    maps @ sk__9 @ sk__11 @ sk__12,
    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_cl52,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_cl71,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__9 )
      | ~ ( member @ X2 @ sk__12 )
      | ~ ( member @ X1 @ sk__12 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl52]) ).

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_cl73,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( member @ X1 @ sk__12 )
      | ~ ( member @ X2 @ sk__12 )
      | ( X1 = X2 )
      | ~ ( apply @ sk__9 @ X0 @ X2 )
      | ~ ( apply @ sk__9 @ X0 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl71,zip_derived_cl4]) ).

thf(zip_derived_cl80,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ sk__9 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( member @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ sk__12 )
      | ~ ( member @ X1 @ sk__12 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl73]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X1 @ sk__12 )
      | ~ ( member @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ sk__12 )
      | ( X1
        = ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( apply @ sk__9 @ X0 @ X1 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl39_006,plain,
    ! [X0: $i] : ( zip_tseitin_2 @ X0 @ sk__12 @ sk__11 @ sk__9 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl32]) ).

thf(zip_derived_cl8_007,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_cl48,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ sk__12 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ sk__9 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( member @ X1 @ sk__12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl48]) ).

thf(zip_derived_cl286,plain,
    ! [X0: $i,X1: $i] :
      ( ( injective @ sk__9 @ X0 @ X1 )
      | ~ ( member @ ( sk__8 @ X1 @ X0 @ sk__9 ) @ sk__12 )
      | ( ( sk__8 @ X1 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ X1 @ X0 @ sk__9 ) ) )
      | ~ ( member @ ( sk__7 @ X1 @ X0 @ sk__9 ) @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl179]) ).

thf(zip_derived_cl1685,plain,
    ! [X0: $i] :
      ( ( injective @ sk__9 @ X0 @ sk__12 )
      | ~ ( member @ ( sk__7 @ sk__12 @ X0 @ sk__9 ) @ sk__11 )
      | ( ( sk__8 @ sk__12 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ sk__12 @ X0 @ sk__9 ) ) )
      | ( injective @ sk__9 @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl286]) ).

thf(zip_derived_cl1688,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ sk__12 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ sk__12 @ X0 @ sk__9 ) ) )
      | ~ ( member @ ( sk__7 @ sk__12 @ X0 @ sk__9 ) @ sk__11 )
      | ( injective @ sk__9 @ X0 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1685]) ).

thf(zip_derived_cl1845,plain,
    ( ( injective @ sk__9 @ sk__11 @ sk__12 )
    | ( injective @ sk__9 @ sk__11 @ sk__12 )
    | ( ( sk__8 @ sk__12 @ sk__11 @ sk__9 )
      = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1688]) ).

thf(zip_derived_cl33,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl33_008,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1848,plain,
    ( ( sk__8 @ sk__12 @ sk__11 @ sk__9 )
    = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1845,zip_derived_cl33,zip_derived_cl33]) ).

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

thf(zip_derived_cl23_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( member @ ( sk__6 @ X2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[injective]) ).

thf(zip_derived_cl24_010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( member @ ( sk__8 @ X2 @ X1 @ X0 ) @ X2 ) ),
    inference(cnf,[status(esa)],[injective]) ).

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

thf(zip_derived_cl179_011,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ sk__9 @ X0 @ X1 )
      | ( X1
        = ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( member @ X1 @ sk__12 ) ),
    inference(clc,[status(thm)],[zip_derived_cl83,zip_derived_cl48]) ).

thf(zip_derived_cl300,plain,
    ! [X0: $i,X1: $i] :
      ( ( injective @ sk__9 @ X0 @ X1 )
      | ~ ( member @ ( sk__8 @ X1 @ X0 @ sk__9 ) @ sk__12 )
      | ( ( sk__8 @ X1 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__6 @ X1 @ X0 @ sk__9 ) ) )
      | ~ ( member @ ( sk__6 @ X1 @ X0 @ sk__9 ) @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl179]) ).

thf(zip_derived_cl2618,plain,
    ! [X0: $i] :
      ( ( injective @ sk__9 @ X0 @ sk__12 )
      | ~ ( member @ ( sk__6 @ sk__12 @ X0 @ sk__9 ) @ sk__11 )
      | ( ( sk__8 @ sk__12 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__6 @ sk__12 @ X0 @ sk__9 ) ) )
      | ( injective @ sk__9 @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl300]) ).

thf(zip_derived_cl2622,plain,
    ! [X0: $i] :
      ( ( ( sk__8 @ sk__12 @ X0 @ sk__9 )
        = ( sk_ @ sk__9 @ sk__12 @ ( sk__6 @ sk__12 @ X0 @ sk__9 ) ) )
      | ~ ( member @ ( sk__6 @ sk__12 @ X0 @ sk__9 ) @ sk__11 )
      | ( injective @ sk__9 @ X0 @ sk__12 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2618]) ).

thf(zip_derived_cl3109,plain,
    ( ( injective @ sk__9 @ sk__11 @ sk__12 )
    | ( injective @ sk__9 @ sk__11 @ sk__12 )
    | ( ( sk__8 @ sk__12 @ sk__11 @ sk__9 )
      = ( sk_ @ sk__9 @ sk__12 @ ( sk__6 @ sk__12 @ sk__11 @ sk__9 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl2622]) ).

thf(zip_derived_cl33_012,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl33_013,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl3112,plain,
    ( ( sk__8 @ sk__12 @ sk__11 @ sk__9 )
    = ( sk_ @ sk__9 @ sk__12 @ ( sk__6 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3109,zip_derived_cl33,zip_derived_cl33]) ).

thf(zip_derived_cl48_014,plain,
    ! [X0: $i] :
      ( ( member @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ sk__12 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl8]) ).

thf(zip_derived_cl55_015,plain,
    ! [X0: $i] :
      ( ( apply @ sk__9 @ X0 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl39,zip_derived_cl9]) ).

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_cl417,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ X2 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X1 )
      | ~ ( member @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X3 )
      | ( apply @ ( compose_function @ X2 @ sk__9 @ X5 @ X3 @ X4 ) @ X0 @ X1 )
      | ~ ( member @ X1 @ X4 )
      | ~ ( member @ X0 @ X5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl55,zip_derived_cl19]) ).

thf(zip_derived_cl6514,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( member @ X0 @ sk__11 )
      | ~ ( member @ X0 @ X1 )
      | ~ ( member @ X3 @ X2 )
      | ( apply @ ( compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2 ) @ X0 @ X3 )
      | ~ ( apply @ X4 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X3 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl417]) ).

thf(zip_derived_cl6528,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( apply @ X4 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X3 )
      | ( apply @ ( compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2 ) @ X0 @ X3 )
      | ~ ( member @ X3 @ X2 )
      | ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6514]) ).

thf(zip_derived_cl30,plain,
    injective @ ( compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13 ) @ sk__11 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl6528_016,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( apply @ X4 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X3 )
      | ( apply @ ( compose_function @ X4 @ sk__9 @ X1 @ sk__12 @ X2 ) @ X0 @ X3 )
      | ~ ( member @ X3 @ X2 )
      | ~ ( member @ X0 @ X1 )
      | ~ ( member @ X0 @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl6514]) ).

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

thf(zip_derived_cl7507,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( ~ ( member @ X1 @ sk__11 )
      | ~ ( member @ X1 @ X3 )
      | ~ ( member @ X0 @ X2 )
      | ~ ( apply @ X4 @ ( sk_ @ sk__9 @ sk__12 @ X1 ) @ X0 )
      | ~ ( injective @ ( compose_function @ X4 @ sk__9 @ X3 @ sk__12 @ X2 ) @ X6 @ X5 )
      | ( X1 = X7 )
      | ~ ( member @ X7 @ X6 )
      | ~ ( member @ X1 @ X6 )
      | ~ ( member @ X0 @ X5 )
      | ~ ( apply @ ( compose_function @ X4 @ sk__9 @ X3 @ sk__12 @ X2 ) @ X7 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6528,zip_derived_cl20]) ).

thf(zip_derived_cl9815,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apply @ ( compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13 ) @ X1 @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( member @ X2 @ sk__11 )
      | ~ ( member @ X1 @ sk__11 )
      | ( X2 = X1 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X2 ) @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( member @ X2 @ sk__11 )
      | ~ ( member @ X2 @ sk__11 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl7507]) ).

thf(zip_derived_cl9818,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X2 ) @ X0 )
      | ( X2 = X1 )
      | ~ ( member @ X1 @ sk__11 )
      | ~ ( member @ X2 @ sk__11 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( apply @ ( compose_function @ sk__10 @ sk__9 @ sk__11 @ sk__12 @ sk__13 ) @ X1 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9815]) ).

thf(zip_derived_cl9848,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( member @ X1 @ sk__11 )
      | ~ ( member @ X1 @ sk__11 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X1 ) @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( member @ X2 @ sk__11 )
      | ~ ( member @ X1 @ sk__11 )
      | ( X2 = X1 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X2 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6528,zip_derived_cl9818]) ).

thf(zip_derived_cl9851,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X2 ) @ X0 )
      | ( X2 = X1 )
      | ~ ( member @ X2 @ sk__11 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X1 ) @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( member @ X1 @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9848]) ).

thf(zip_derived_cl9859,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 )
      | ~ ( member @ X1 @ sk__11 )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X1 ) @ X0 )
      | ~ ( member @ ( sk__6 @ sk__12 @ sk__11 @ sk__9 ) @ sk__11 )
      | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3112,zip_derived_cl9851]) ).

thf(zip_derived_cl9876,plain,
    ! [X0: $i,X1: $i] :
      ( ( injective @ sk__9 @ sk__11 @ sk__12 )
      | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = X0 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X1 )
      | ~ ( member @ X1 @ sk__13 )
      | ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl9859]) ).

thf(zip_derived_cl33_017,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl9877,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = X0 )
      | ~ ( apply @ sk__10 @ ( sk_ @ sk__9 @ sk__12 @ X0 ) @ X1 )
      | ~ ( member @ X1 @ sk__13 )
      | ~ ( member @ X0 @ sk__11 )
      | ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9876,zip_derived_cl33]) ).

thf(zip_derived_cl9885,plain,
    ! [X0: $i] :
      ( ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 )
      | ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 )
      | ~ ( member @ ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) @ sk__11 )
      | ~ ( member @ X0 @ sk__13 )
      | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1848,zip_derived_cl9877]) ).

thf(zip_derived_cl9889,plain,
    ! [X0: $i] :
      ( ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) )
      | ~ ( member @ X0 @ sk__13 )
      | ~ ( member @ ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) @ sk__11 )
      | ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl9885]) ).

thf(zip_derived_cl9890,plain,
    ! [X0: $i] :
      ( ( injective @ sk__9 @ sk__11 @ sk__12 )
      | ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl9889]) ).

thf(zip_derived_cl33_018,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl9891,plain,
    ! [X0: $i] :
      ( ~ ( apply @ sk__10 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ X0 )
      | ~ ( member @ X0 @ sk__13 )
      | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
        = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl9890,zip_derived_cl33]) ).

thf(zip_derived_cl9892,plain,
    ( ~ ( member @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ sk__12 )
    | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
      = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) )
    | ~ ( member @ ( sk_ @ sk__10 @ sk__13 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) ) @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl9891]) ).

thf(zip_derived_cl1848_019,plain,
    ( ( sk__8 @ sk__12 @ sk__11 @ sk__9 )
    = ( sk_ @ sk__9 @ sk__12 @ ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1845,zip_derived_cl33,zip_derived_cl33]) ).

thf(zip_derived_cl22_020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( member @ ( sk__7 @ X2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[injective]) ).

thf(zip_derived_cl24_021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( member @ ( sk__8 @ X2 @ X1 @ X0 ) @ X2 ) ),
    inference(cnf,[status(esa)],[injective]) ).

thf(zip_derived_cl25_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ( apply @ X0 @ ( sk__7 @ X2 @ X1 @ X0 ) @ ( sk__8 @ X2 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[injective]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_2 @ X0 @ X1 @ X2 @ X3 )
      | ~ ( apply @ X3 @ X0 @ X4 )
      | ~ ( member @ X4 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl281,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( injective @ X0 @ X1 @ X2 )
      | ~ ( member @ ( sk__8 @ X2 @ X1 @ X0 ) @ X3 )
      | ( zip_tseitin_2 @ ( sk__7 @ X2 @ X1 @ X0 ) @ X3 @ X4 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl10]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( injective @ X1 @ X2 @ X0 )
      | ( zip_tseitin_2 @ ( sk__7 @ X0 @ X2 @ X1 ) @ X0 @ X3 @ X1 )
      | ( injective @ X1 @ X2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl281]) ).

thf(zip_derived_cl291,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( zip_tseitin_2 @ ( sk__7 @ X0 @ X2 @ X1 ) @ X0 @ X3 @ X1 )
      | ( injective @ X1 @ X2 @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl290]) ).

thf(zip_derived_cl8_023,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_cl292,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( injective @ X0 @ X3 @ X2 )
      | ( member @ ( sk_ @ X0 @ X2 @ ( sk__7 @ X2 @ X3 @ X0 ) ) @ X2 )
      | ~ ( member @ ( sk__7 @ X2 @ X3 @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl291,zip_derived_cl8]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( injective @ X1 @ X0 @ X2 )
      | ( member @ ( sk_ @ X1 @ X2 @ ( sk__7 @ X2 @ X0 @ X1 ) ) @ X2 )
      | ( injective @ X1 @ X0 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl292]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( member @ ( sk_ @ X1 @ X2 @ ( sk__7 @ X2 @ X0 @ X1 ) ) @ X2 )
      | ( injective @ X1 @ X0 @ X2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl308]) ).

thf(zip_derived_cl1849,plain,
    ( ( member @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ sk__12 )
    | ( injective @ sk__9 @ sk__11 @ sk__12 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1848,zip_derived_cl309]) ).

thf(zip_derived_cl33_024,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl1875,plain,
    member @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl1849,zip_derived_cl33]) ).

thf(zip_derived_cl9894,plain,
    ( ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
      = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) )
    | ~ ( member @ ( sk_ @ sk__10 @ sk__13 @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) ) @ sk__13 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9892,zip_derived_cl1875]) ).

thf(zip_derived_cl9897,plain,
    ( ~ ( member @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ sk__12 )
    | ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
      = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl9894]) ).

thf(zip_derived_cl1875_025,plain,
    member @ ( sk__8 @ sk__12 @ sk__11 @ sk__9 ) @ sk__12,
    inference(demod,[status(thm)],[zip_derived_cl1849,zip_derived_cl33]) ).

thf(zip_derived_cl9902,plain,
    ( ( sk__6 @ sk__12 @ sk__11 @ sk__9 )
    = ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9897,zip_derived_cl1875]) ).

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

thf(zip_derived_cl9928,plain,
    ( ( ( sk__7 @ sk__12 @ sk__11 @ sk__9 )
     != ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) )
    | ( injective @ sk__9 @ sk__11 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9902,zip_derived_cl21]) ).

thf(zip_derived_cl33_026,plain,
    ~ ( injective @ sk__9 @ sk__11 @ sk__12 ),
    inference(cnf,[status(esa)],[zf_stmt_7]) ).

thf(zip_derived_cl9940,plain,
    ( ( sk__7 @ sk__12 @ sk__11 @ sk__9 )
   != ( sk__7 @ sk__12 @ sk__11 @ sk__9 ) ),
    inference(demod,[status(thm)],[zip_derived_cl9928,zip_derived_cl33]) ).

thf(zip_derived_cl9941,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl9940]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET721+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OLOu7RS6Dm true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 09:54:53 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 32.08/5.33  % Solved by fo/fo4.sh.
% 32.08/5.33  % done 1163 iterations in 4.547s
% 32.08/5.33  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 32.08/5.33  % SZS output start Refutation
% See solution above
% 32.08/5.33  
% 32.08/5.33  
% 32.08/5.33  % Terminating...
% 33.72/5.44  % Runner terminated.
% 33.72/5.45  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------