TSTP Solution File: SEU296+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU296+3 : 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.jto1QW2xrn true

% Computer : n014.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 19:11:54 EDT 2023

% Result   : Theorem 32.51s 5.37s
% Output   : Refutation 32.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   79 (  17 unt;  16 typ;   0 def)
%            Number of atoms       :  176 (  21 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  766 ( 104   ~;  88   |;  10   &; 549   @)
%                                         (   2 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   19 (  19   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   4 con; 0-2 aty)
%            Number of variables   :   79 (   0   ^;  78   !;   1   ?;  79   :)

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

thf(relation_rng_type,type,
    relation_rng: $i > $i ).

thf(finite_type,type,
    finite: $i > $o ).

thf(sk__20_type,type,
    sk__20: $i ).

thf(set_intersection2_type,type,
    set_intersection2: $i > $i > $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(relation_composition_type,type,
    relation_composition: $i > $i > $i ).

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

thf(omega_type,type,
    omega: $i ).

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

thf(subset_type,type,
    subset: $i > $i > $o ).

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

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

thf(sk__19_type,type,
    sk__19: $i ).

thf(relation_image_type,type,
    relation_image: $i > $i > $i ).

thf(fc11_finset_1,axiom,
    ! [A: $i,B: $i] :
      ( ( finite @ A )
     => ( finite @ ( set_intersection2 @ A @ B ) ) ) ).

thf(zip_derived_cl40,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( finite @ X0 )
      | ( finite @ ( set_intersection2 @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc11_finset_1]) ).

thf(d1_finset_1,axiom,
    ! [A: $i] :
      ( ( finite @ A )
    <=> ? [B: $i] :
          ( ( in @ ( relation_dom @ B ) @ omega )
          & ( ( relation_rng @ B )
            = A )
          & ( function @ B )
          & ( relation @ B ) ) ) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ ( sk_ @ X0 ) )
        = X0 )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(fc1_funct_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( function @ A )
        & ( relation @ B )
        & ( function @ B ) )
     => ( ( relation @ ( relation_composition @ A @ B ) )
        & ( function @ ( relation_composition @ A @ B ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( function @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( function @ ( relation_composition @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[fc1_funct_1]) ).

thf(zip_derived_cl31_001,plain,
    ! [X0: $i] :
      ( ( ( relation_rng @ ( sk_ @ X0 ) )
        = X0 )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(t160_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( relation @ B )
         => ( ( relation_rng @ ( relation_composition @ A @ B ) )
            = ( relation_image @ B @ ( relation_rng @ A ) ) ) ) ) ).

thf(zip_derived_cl129,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ( ( relation_rng @ ( relation_composition @ X1 @ X0 ) )
        = ( relation_image @ X0 @ ( relation_rng @ X1 ) ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t160_relat_1]) ).

thf(zip_derived_cl1171,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_rng @ ( relation_composition @ ( sk_ @ X0 ) @ X1 ) )
        = ( relation_image @ X1 @ X0 ) )
      | ~ ( finite @ X0 )
      | ~ ( relation @ ( sk_ @ X0 ) )
      | ~ ( relation @ X1 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl31,zip_derived_cl129]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( relation @ ( sk_ @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl2763,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X1 )
      | ~ ( finite @ X0 )
      | ( ( relation_rng @ ( relation_composition @ ( sk_ @ X0 ) @ X1 ) )
        = ( relation_image @ X1 @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1171,zip_derived_cl33]) ).

thf(t145_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ( ( relation_image @ B @ A )
        = ( relation_image @ B @ ( set_intersection2 @ ( relation_dom @ B ) @ A ) ) ) ) ).

thf(zip_derived_cl127,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_image @ X0 @ X1 )
        = ( relation_image @ X0 @ ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[t145_relat_1]) ).

thf(zip_derived_cl2768,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( relation_image @ X0 @ X1 )
        = ( relation_rng @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) ) @ X0 ) ) )
      | ~ ( finite @ ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) )
      | ~ ( relation @ X0 )
      | ~ ( relation @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2763,zip_derived_cl127]) ).

thf(zip_derived_cl2775,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( finite @ ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) )
      | ( ( relation_image @ X0 @ X1 )
        = ( relation_rng @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ ( relation_dom @ X0 ) @ X1 ) ) @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2768]) ).

thf(t17_finset_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ( relation @ B )
        & ( function @ B ) )
     => ( ( finite @ A )
       => ( finite @ ( relation_image @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ( relation @ B )
          & ( function @ B ) )
       => ( ( finite @ A )
         => ( finite @ ( relation_image @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t17_finset_1]) ).

thf(zip_derived_cl141,plain,
    ~ ( finite @ ( relation_image @ sk__20 @ sk__19 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22455,plain,
    ( ~ ( finite @ ( relation_rng @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ ( relation_dom @ sk__20 ) @ sk__19 ) ) @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ ( relation_dom @ sk__20 ) @ sk__19 ) )
    | ~ ( relation @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2775,zip_derived_cl141]) ).

thf(commutativity_k3_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_intersection2 @ A @ B )
      = ( set_intersection2 @ B @ A ) ) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl29_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(zip_derived_cl143,plain,
    relation @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22504,plain,
    ( ~ ( finite @ ( relation_rng @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl22455,zip_derived_cl29,zip_derived_cl29,zip_derived_cl143]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(t46_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( relation @ B )
         => ( ( subset @ ( relation_rng @ A ) @ ( relation_dom @ B ) )
           => ( ( relation_dom @ ( relation_composition @ A @ B ) )
              = ( relation_dom @ A ) ) ) ) ) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ( ( relation_dom @ ( relation_composition @ X1 @ X0 ) )
        = ( relation_dom @ X1 ) )
      | ~ ( subset @ ( relation_rng @ X1 ) @ ( relation_dom @ X0 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[t46_relat_1]) ).

thf(zip_derived_cl601,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( element @ ( relation_rng @ X1 ) @ ( powerset @ ( relation_dom @ X0 ) ) )
      | ~ ( relation @ X1 )
      | ( ( relation_dom @ ( relation_composition @ X1 @ X0 ) )
        = ( relation_dom @ X1 ) )
      | ~ ( relation @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl134,zip_derived_cl136]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i] :
      ( ( finite @ X0 )
      | ~ ( relation @ X1 )
      | ~ ( function @ X1 )
      | ( ( relation_rng @ X1 )
       != X0 )
      | ~ ( in @ ( relation_dom @ X1 ) @ omega ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl1181,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ ( relation_dom @ X0 ) @ omega )
      | ~ ( relation @ X1 )
      | ~ ( relation @ X0 )
      | ~ ( element @ ( relation_rng @ X0 ) @ ( powerset @ ( relation_dom @ X1 ) ) )
      | ( ( relation_rng @ ( relation_composition @ X0 @ X1 ) )
       != X2 )
      | ~ ( function @ ( relation_composition @ X0 @ X1 ) )
      | ~ ( relation @ ( relation_composition @ X0 @ X1 ) )
      | ( finite @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl601,zip_derived_cl34]) ).

thf(dt_k5_relat_1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( relation @ A )
        & ( relation @ B ) )
     => ( relation @ ( relation_composition @ A @ B ) ) ) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( relation @ X1 )
      | ( relation @ ( relation_composition @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[dt_k5_relat_1]) ).

thf(zip_derived_cl3175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( finite @ X2 )
      | ~ ( function @ ( relation_composition @ X0 @ X1 ) )
      | ( ( relation_rng @ ( relation_composition @ X0 @ X1 ) )
       != X2 )
      | ~ ( element @ ( relation_rng @ X0 ) @ ( powerset @ ( relation_dom @ X1 ) ) )
      | ~ ( relation @ X0 )
      | ~ ( relation @ X1 )
      | ~ ( in @ ( relation_dom @ X0 ) @ omega ) ),
    inference(clc,[status(thm)],[zip_derived_cl1181,zip_derived_cl35]) ).

thf(zip_derived_cl3181,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( relation_dom @ X0 ) @ omega )
      | ~ ( relation @ X1 )
      | ~ ( relation @ X0 )
      | ~ ( element @ ( relation_rng @ X0 ) @ ( powerset @ ( relation_dom @ X1 ) ) )
      | ~ ( function @ ( relation_composition @ X0 @ X1 ) )
      | ( finite @ ( relation_rng @ ( relation_composition @ X0 @ X1 ) ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl3175]) ).

thf(zip_derived_cl32924,plain,
    ( ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( function @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) @ sk__20 ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( relation @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( relation @ sk__20 )
    | ~ ( in @ ( relation_dom @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ omega ) ),
    inference('sup+',[status(thm)],[zip_derived_cl22504,zip_derived_cl3181]) ).

thf(zip_derived_cl143_003,plain,
    relation @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32976,plain,
    ( ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( function @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) @ sk__20 ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( relation @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( in @ ( relation_dom @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ omega ) ),
    inference(demod,[status(thm)],[zip_derived_cl32924,zip_derived_cl143]) ).

thf(zip_derived_cl33_004,plain,
    ! [X0: $i] :
      ( ( relation @ ( sk_ @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl40556,plain,
    ( ~ ( in @ ( relation_dom @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ omega )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( function @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) @ sk__20 ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl32976,zip_derived_cl33]) ).

thf(zip_derived_cl30,plain,
    ! [X0: $i] :
      ( ( in @ ( relation_dom @ ( sk_ @ X0 ) ) @ omega )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl40557,plain,
    ( ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( function @ ( relation_composition @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) @ sk__20 ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl40556,zip_derived_cl30]) ).

thf(zip_derived_cl40561,plain,
    ( ~ ( function @ sk__20 )
    | ~ ( relation @ sk__20 )
    | ~ ( relation @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( function @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl40557]) ).

thf(zip_derived_cl142,plain,
    function @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl143_005,plain,
    relation @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl40634,plain,
    ( ~ ( relation @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( function @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl40561,zip_derived_cl142,zip_derived_cl143]) ).

thf(zip_derived_cl33_006,plain,
    ! [X0: $i] :
      ( ( relation @ ( sk_ @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl40975,plain,
    ( ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( function @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl40634,zip_derived_cl33]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( function @ ( sk_ @ X0 ) )
      | ~ ( finite @ X0 ) ),
    inference(cnf,[status(esa)],[d1_finset_1]) ).

thf(zip_derived_cl40976,plain,
    ( ~ ( element @ ( relation_rng @ ( sk_ @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl40975,zip_derived_cl32]) ).

thf(zip_derived_cl40997,plain,
    ( ~ ( element @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) @ ( powerset @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl40976]) ).

thf(zip_derived_cl29_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_intersection2 @ X1 @ X0 )
      = ( set_intersection2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).

thf(t17_xboole_1,axiom,
    ! [A: $i,B: $i] : ( subset @ ( set_intersection2 @ A @ B ) @ A ) ).

thf(zip_derived_cl130,plain,
    ! [X0: $i,X1: $i] : ( subset @ ( set_intersection2 @ X0 @ X1 ) @ X0 ),
    inference(cnf,[status(esa)],[t17_xboole_1]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl596,plain,
    ! [X0: $i,X1: $i] : ( element @ ( set_intersection2 @ X0 @ X1 ) @ ( powerset @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl130,zip_derived_cl135]) ).

thf(zip_derived_cl1102,plain,
    ! [X0: $i,X1: $i] : ( element @ ( set_intersection2 @ X1 @ X0 ) @ ( powerset @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl29,zip_derived_cl596]) ).

thf(zip_derived_cl41045,plain,
    ( ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) )
    | ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl40997,zip_derived_cl1102]) ).

thf(zip_derived_cl41046,plain,
    ~ ( finite @ ( set_intersection2 @ sk__19 @ ( relation_dom @ sk__20 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl41045]) ).

thf(zip_derived_cl41099,plain,
    ~ ( finite @ sk__19 ),
    inference('sup-',[status(thm)],[zip_derived_cl40,zip_derived_cl41046]) ).

thf(zip_derived_cl144,plain,
    finite @ sk__19,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl41128,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl41099,zip_derived_cl144]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU296+3 : 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.jto1QW2xrn true
% 0.13/0.35  % Computer : n014.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 18:25:19 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
% 0.13/0.36  % Running in FO mode
% 0.22/0.65  % Total configuration time : 435
% 0.22/0.65  % Estimated wc time : 1092
% 0.22/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.38/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.55/0.88  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 32.51/5.37  % Solved by fo/fo3_bce.sh.
% 32.51/5.37  % BCE start: 145
% 32.51/5.37  % BCE eliminated: 15
% 32.51/5.37  % PE start: 130
% 32.51/5.37  logic: eq
% 32.51/5.37  % PE eliminated: 5
% 32.51/5.37  % done 4668 iterations in 4.577s
% 32.51/5.37  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 32.51/5.37  % SZS output start Refutation
% See solution above
% 32.51/5.37  
% 32.51/5.37  
% 32.51/5.37  % Terminating...
% 32.51/5.47  % Runner terminated.
% 33.91/5.48  % Zipperpin 1.5 exiting
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