TSTP Solution File: SEU044+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GGLBddwKE5 true

% Computer : n021.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 19:10:18 EDT 2023

% Result   : Theorem 1.36s 0.90s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   75 (  12 unt;  13 typ;   0 def)
%            Number of atoms       :  220 (  25 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  851 ( 121   ~;  98   |;  18   &; 572   @)
%                                         (   8 <=>;  10  =>;  24  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   77 (   0   ^;  77   !;   0   ?;  77   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__12_type,type,
    sk__12: $i ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(relation_type,type,
    relation: $i > $o ).

thf(relation_dom_type,type,
    relation_dom: $i > $i ).

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

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

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

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

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

thf(relation_rng_restriction_type,type,
    relation_rng_restriction: $i > $i > $i ).

thf(function_type,type,
    function: $i > $o ).

thf(t86_funct_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( relation @ C )
        & ( function @ C ) )
     => ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) )
      <=> ( ( in @ B @ ( relation_dom @ C ) )
          & ( in @ ( apply @ C @ B ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( relation @ C )
          & ( function @ C ) )
       => ( ( in @ B @ ( relation_dom @ ( relation_rng_restriction @ A @ C ) ) )
        <=> ( ( in @ B @ ( relation_dom @ C ) )
            & ( in @ ( apply @ C @ B ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t86_funct_1]) ).

thf(zip_derived_cl54,plain,
    ( ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
    | ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('0',plain,
    ( ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
    | ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl52,plain,
    ( ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
    | ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
    | ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('1',plain,
    ( ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
    | ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
    | ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl53,plain,
    ( ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
    | ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ( ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
   <= ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(t85_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( function @ B )
        & ( relation @ B ) )
     => ! [C: $i] :
          ( ( ( function @ C )
            & ( relation @ C ) )
         => ( ( B
              = ( relation_rng_restriction @ A @ C ) )
          <=> ( ! [D: $i] :
                  ( ( in @ D @ ( relation_dom @ B ) )
                 => ( ( apply @ B @ D )
                    = ( apply @ C @ D ) ) )
              & ! [D: $i] :
                  ( ( in @ D @ ( relation_dom @ B ) )
                <=> ( ( in @ ( apply @ C @ D ) @ A )
                    & ( in @ D @ ( relation_dom @ C ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,type,
    zip_tseitin_1: $i > $i > $i > $o ).

thf(zf_stmt_2,axiom,
    ! [D: $i,C: $i,A: $i] :
      ( ( zip_tseitin_1 @ D @ C @ A )
    <=> ( ( in @ D @ ( relation_dom @ C ) )
        & ( in @ ( apply @ C @ D ) @ A ) ) ) ).

thf(zf_stmt_3,type,
    zip_tseitin_0: $i > $i > $i > $o ).

thf(zf_stmt_4,axiom,
    ! [D: $i,C: $i,B: $i] :
      ( ( zip_tseitin_0 @ D @ C @ B )
    <=> ( ( in @ D @ ( relation_dom @ B ) )
       => ( ( apply @ B @ D )
          = ( apply @ C @ D ) ) ) ) ).

thf(zf_stmt_5,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ! [C: $i] :
          ( ( ( relation @ C )
            & ( function @ C ) )
         => ( ( B
              = ( relation_rng_restriction @ A @ C ) )
          <=> ( ! [D: $i] :
                  ( ( in @ D @ ( relation_dom @ B ) )
                <=> ( zip_tseitin_1 @ D @ C @ A ) )
              & ! [D: $i] : ( zip_tseitin_0 @ D @ C @ B ) ) ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( X2
       != ( relation_rng_restriction @ X1 @ X0 ) )
      | ( zip_tseitin_1 @ X3 @ X0 @ X1 )
      | ~ ( in @ X3 @ ( relation_dom @ X2 ) )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl278,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( relation @ X0 )
        | ~ ( function @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 )
        | ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
        | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
   <= ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl65]) ).

thf(zip_derived_cl419,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl278]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ X0 @ ( relation_dom @ X1 ) )
      | ~ ( zip_tseitin_1 @ X0 @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl422,plain,
    ( ! [X0: $i,X1: $i] :
        ( ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X0 @ X1 ) )
        | ~ ( relation @ X1 )
        | ~ ( function @ X1 )
        | ( in @ sk__12 @ ( relation_dom @ X1 ) ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl58]) ).

thf(zip_derived_cl442,plain,
    ( ( ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
      | ~ ( function @ sk__13 )
      | ~ ( relation @ sk__13 ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl422]) ).

thf(zip_derived_cl51,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl50,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl443,plain,
    ( ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl442,zip_derived_cl51,zip_derived_cl50]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
   <= ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf('2',plain,
    ( ~ ! [X0: $i,X1: $i] :
          ( ~ ( function @ X0 )
          | ~ ( relation @ X0 )
          | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
           != ( relation_rng_restriction @ X1 @ X0 ) )
          | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) )
    | ( in @ sk__12 @ ( relation_dom @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl443,zip_derived_cl67]) ).

thf('3',plain,
    ( ( in @ sk__12 @ ( relation_dom @ sk__13 ) )
    | ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl53]) ).

thf(fc5_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( relation @ ( relation_rng_restriction @ A @ B ) )
        & ( function @ ( relation_rng_restriction @ A @ B ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( function @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( function @ X1 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[fc5_funct_1]) ).

thf(zip_derived_cl72,plain,
    ( ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
   <= ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 ) ),
    inference(split,[status(esa)],[zip_derived_cl54]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( zip_tseitin_1 @ X0 @ X1 @ X2 )
      | ~ ( in @ ( apply @ X1 @ X0 ) @ X2 )
      | ~ ( in @ X0 @ ( relation_dom @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl246,plain,
    ( ( ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 )
      | ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) ) )
   <= ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl72,zip_derived_cl60]) ).

thf(zip_derived_cl247,plain,
    ( ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 )
   <= ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( function @ X0 )
      | ( X2
       != ( relation_rng_restriction @ X1 @ X0 ) )
      | ( in @ X3 @ ( relation_dom @ X2 ) )
      | ~ ( zip_tseitin_1 @ X3 @ X0 @ X1 )
      | ~ ( function @ X2 )
      | ~ ( relation @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl293,plain,
    ( ! [X0: $i] :
        ( ~ ( relation @ sk__13 )
        | ~ ( function @ sk__13 )
        | ( X0
         != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
        | ( in @ sk__12 @ ( relation_dom @ X0 ) )
        | ~ ( function @ X0 )
        | ~ ( relation @ X0 ) )
   <= ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl247,zip_derived_cl64]) ).

thf(zip_derived_cl50_001,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_002,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl295,plain,
    ( ! [X0: $i] :
        ( ( X0
         != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
        | ( in @ sk__12 @ ( relation_dom @ X0 ) )
        | ~ ( function @ X0 )
        | ~ ( relation @ X0 ) )
   <= ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 ) ),
    inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl50,zip_derived_cl51]) ).

thf(zip_derived_cl66,plain,
    ( ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
   <= ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl304,plain,
    ( ( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
      | ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
      | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
       != ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
   <= ( ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
      & ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl295,zip_derived_cl66]) ).

thf(zip_derived_cl309,plain,
    ( ( ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
      | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
   <= ( ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
      & ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl304]) ).

thf(zip_derived_cl311,plain,
    ( ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
   <= ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl309]) ).

thf(zip_derived_cl323,plain,
    ( ( ~ ( relation @ sk__13 )
      | ~ ( function @ sk__13 ) )
   <= ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl311]) ).

thf(zip_derived_cl50_003,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_004,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('4',plain,
    function @ ( relation_rng_restriction @ sk__11 @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl323,zip_derived_cl50,zip_derived_cl51]) ).

thf(dt_k8_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( relation @ ( relation_rng_restriction @ A @ B ) ) ) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] :
      ( ( relation @ ( relation_rng_restriction @ X0 @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[dt_k8_relat_1]) ).

thf(zip_derived_cl310,plain,
    ( ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
   <= ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl309]) ).

thf(zip_derived_cl313,plain,
    ( ~ ( relation @ sk__13 )
   <= ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl310]) ).

thf(zip_derived_cl50_005,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('5',plain,
    relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ),
    inference(demod,[status(thm)],[zip_derived_cl313,zip_derived_cl50]) ).

thf('6',plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) )
    | ~ ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
    | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
    | ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl278]) ).

thf(zip_derived_cl419_006,plain,
    ( ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) )
   <= ! [X0: $i,X1: $i] :
        ( ~ ( function @ X0 )
        | ~ ( relation @ X0 )
        | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
         != ( relation_rng_restriction @ X1 @ X0 ) )
        | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl278]) ).

thf(zip_derived_cl59,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( in @ ( apply @ X0 @ X1 ) @ X2 )
      | ~ ( zip_tseitin_1 @ X1 @ X0 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl68,plain,
    ( ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
   <= ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 ) ),
    inference(split,[status(esa)],[zip_derived_cl52]) ).

thf(zip_derived_cl236,plain,
    ( ~ ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 )
   <= ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl68]) ).

thf(zip_derived_cl436,plain,
    ( ( ( ( relation_rng_restriction @ sk__11 @ sk__13 )
       != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
      | ~ ( relation @ sk__13 )
      | ~ ( function @ sk__13 ) )
   <= ( ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
      & ! [X0: $i,X1: $i] :
          ( ~ ( function @ X0 )
          | ~ ( relation @ X0 )
          | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
           != ( relation_rng_restriction @ X1 @ X0 ) )
          | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl419,zip_derived_cl236]) ).

thf(zip_derived_cl50_007,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl51_008,plain,
    function @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl438,plain,
    ( ( ( relation_rng_restriction @ sk__11 @ sk__13 )
     != ( relation_rng_restriction @ sk__11 @ sk__13 ) )
   <= ( ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
      & ! [X0: $i,X1: $i] :
          ( ~ ( function @ X0 )
          | ~ ( relation @ X0 )
          | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
           != ( relation_rng_restriction @ X1 @ X0 ) )
          | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl436,zip_derived_cl50,zip_derived_cl51]) ).

thf('7',plain,
    ( ~ ! [X0: $i,X1: $i] :
          ( ~ ( function @ X0 )
          | ~ ( relation @ X0 )
          | ( ( relation_rng_restriction @ sk__11 @ sk__13 )
           != ( relation_rng_restriction @ X1 @ X0 ) )
          | ( zip_tseitin_1 @ sk__12 @ X0 @ X1 ) )
    | ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl438]) ).

thf('8',plain,
    ( ~ ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 )
    | ( in @ sk__12 @ ( relation_dom @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) )
    | ~ ( function @ ( relation_rng_restriction @ sk__11 @ sk__13 ) )
    | ~ ( relation @ ( relation_rng_restriction @ sk__11 @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl309]) ).

thf('9',plain,
    ( ( zip_tseitin_1 @ sk__12 @ sk__13 @ sk__11 )
    | ~ ( in @ ( apply @ sk__13 @ sk__12 ) @ sk__11 )
    | ~ ( in @ sk__12 @ ( relation_dom @ sk__13 ) ) ),
    inference(split,[status(esa)],[zip_derived_cl246]) ).

thf(zip_derived_cl451,plain,
    $false,
    inference('sat_resolution*',[status(thm)],['0','1','2','3','4','5','6','7','8','9']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU044+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GGLBddwKE5 true
% 0.13/0.35  % Computer : n021.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Aug 23 12:31:54 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.90  % Solved by fo/fo1_av.sh.
% 1.36/0.90  % done 281 iterations in 0.123s
% 1.36/0.90  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.90  % SZS output start Refutation
% See solution above
% 1.36/0.90  
% 1.36/0.90  
% 1.36/0.90  % Terminating...
% 1.49/0.96  % Runner terminated.
% 1.81/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------