TSTP Solution File: SEU210+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l67U5Ve3r3 true

% Computer : n022.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 19:11:14 EDT 2023

% Result   : Theorem 4.92s 1.33s
% Output   : Refutation 4.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  102 (  33 unt;  17 typ;   0 def)
%            Number of atoms       :  172 (  27 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  539 (  63   ~;  60   |;  12   &; 389   @)
%                                         (   5 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;   4 con; 0-2 aty)
%            Number of variables   :  105 (   0   ^; 101   !;   4   ?; 105   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__1_type,type,
    sk__1: $i > $i > $i ).

thf(ordered_pair_type,type,
    ordered_pair: $i > $i > $i ).

thf(empty_set_type,type,
    empty_set: $i ).

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

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

thf(sk__3_type,type,
    sk__3: $i > $i > $i ).

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

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

thf(sk__4_type,type,
    sk__4: $i > $i ).

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

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

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

thf(relation_inverse_image_type,type,
    relation_inverse_image: $i > $i > $i ).

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

thf(sk__2_type,type,
    sk__2: $i > $i > $i ).

thf(empty_type,type,
    empty: $i > $o ).

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

thf(d5_relat_1,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( B
            = ( relation_rng @ A ) )
        <=> ! [C: $i] :
              ( ( in @ C @ B )
            <=> ? [D: $i] : ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
      | ( X0
        = ( relation_rng @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(t7_boole,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ( empty @ B ) ) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl273,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ( X1
        = ( relation_rng @ X0 ) )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X1 )
      | ~ ( empty @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl56]) ).

thf(cc1_relat_1,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( relation @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( relation @ X0 )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_relat_1]) ).

thf(zip_derived_cl2548,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ( in @ ( sk__1 @ X1 @ X0 ) @ X1 )
      | ( X1
        = ( relation_rng @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl273,zip_derived_cl1]) ).

thf(zip_derived_cl6_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( in @ ( ordered_pair @ ( sk__2 @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
      | ( X0
        = ( relation_rng @ X1 ) )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(existence_m1_subset_1,axiom,
    ! [A: $i] :
    ? [B: $i] : ( element @ B @ A ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] : ( element @ ( sk__4 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(t2_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ B )
     => ( ( empty @ B )
        | ( in @ A @ B ) ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i] :
      ( ( empty @ X0 )
      | ( in @ ( sk__4 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl50]) ).

thf(zip_derived_cl19_002,plain,
    ! [X0: $i] : ( element @ ( sk__4 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

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

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] : ( subset @ ( sk__4 @ ( powerset @ X0 ) ) @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl51]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ ( sk__4 @ ( powerset @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl3]) ).

thf(zip_derived_cl893,plain,
    ! [X0: $i] :
      ( ( empty @ ( sk__4 @ ( powerset @ X0 ) ) )
      | ( in @ ( sk__4 @ ( sk__4 @ ( powerset @ X0 ) ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl232,zip_derived_cl205]) ).

thf(rc2_subset_1,axiom,
    ! [A: $i] :
    ? [B: $i] :
      ( ( empty @ B )
      & ( element @ B @ ( powerset @ A ) ) ) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] : ( element @ ( sk__9 @ X0 ) @ ( powerset @ X0 ) ),
    inference(cnf,[status(esa)],[rc2_subset_1]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] : ( empty @ ( sk__9 @ X0 ) ),
    inference(cnf,[status(esa)],[rc2_subset_1]) ).

thf(t6_boole,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( A = empty_set ) ) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i] :
      ( ( sk__9 @ X0 )
      = empty_set ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl55]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl78]) ).

thf(zip_derived_cl51_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(zip_derived_cl95,plain,
    ! [X0: $i] : ( subset @ empty_set @ X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl51]) ).

thf(zip_derived_cl3_004,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl96,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X1 @ X0 )
      | ~ ( in @ X1 @ empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl3]) ).

thf(zip_derived_cl1167,plain,
    ! [X0: $i] :
      ( ( empty @ ( sk__4 @ ( powerset @ empty_set ) ) )
      | ( in @ ( sk__4 @ ( sk__4 @ ( powerset @ empty_set ) ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl893,zip_derived_cl96]) ).

thf(antisymmetry_r2_hidden,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ~ ( in @ B @ A ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[antisymmetry_r2_hidden]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ X0 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl1653,plain,
    empty @ ( sk__4 @ ( powerset @ empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1167,zip_derived_cl58]) ).

thf(zip_derived_cl55_005,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl1692,plain,
    ( ( sk__4 @ ( powerset @ empty_set ) )
    = empty_set ),
    inference('sup-',[status(thm)],[zip_derived_cl1653,zip_derived_cl55]) ).

thf(zip_derived_cl19_006,plain,
    ! [X0: $i] : ( element @ ( sk__4 @ X0 ) @ X0 ),
    inference(cnf,[status(esa)],[existence_m1_subset_1]) ).

thf(t5_subset,axiom,
    ! [A: $i,B: $i,C: $i] :
      ~ ( ( in @ A @ B )
        & ( element @ B @ ( powerset @ C ) )
        & ( empty @ C ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X2 )
      | ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
    inference(cnf,[status(esa)],[t5_subset]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( empty @ X0 )
      | ~ ( in @ X1 @ ( sk__4 @ ( powerset @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl54]) ).

thf(zip_derived_cl1741,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ empty_set )
      | ~ ( empty @ empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1692,zip_derived_cl190]) ).

thf(fc1_xboole_0,axiom,
    empty @ empty_set ).

thf(zip_derived_cl21,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl1754,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl21]) ).

thf(zip_derived_cl1763,plain,
    ! [X0: $i] :
      ( ~ ( relation @ empty_set )
      | ( X0
        = ( relation_rng @ empty_set ) )
      | ( in @ ( sk__1 @ X0 @ empty_set ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1754]) ).

thf(fc4_relat_1,axiom,
    ( ( relation @ empty_set )
    & ( empty @ empty_set ) ) ).

thf(zip_derived_cl25,plain,
    relation @ empty_set,
    inference(cnf,[status(esa)],[fc4_relat_1]) ).

thf(fc8_relat_1,axiom,
    ! [A: $i] :
      ( ( empty @ A )
     => ( ( empty @ ( relation_rng @ A ) )
        & ( relation @ ( relation_rng @ A ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ( empty @ ( relation_rng @ X0 ) )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[fc8_relat_1]) ).

thf(zip_derived_cl55_007,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ~ ( empty @ X0 ) ),
    inference(cnf,[status(esa)],[t6_boole]) ).

thf(zip_derived_cl85,plain,
    ! [X0: $i] :
      ( ~ ( empty @ X0 )
      | ( ( relation_rng @ X0 )
        = empty_set ) ),
    inference('sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl55]) ).

thf(zip_derived_cl21_008,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl99,plain,
    ( ( relation_rng @ empty_set )
    = empty_set ),
    inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl21]) ).

thf(zip_derived_cl1768,plain,
    ! [X0: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk__1 @ X0 @ empty_set ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1763,zip_derived_cl25,zip_derived_cl99]) ).

thf(t174_relat_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( relation @ B )
     => ~ ( ( A != empty_set )
          & ( subset @ A @ ( relation_rng @ B ) )
          & ( ( relation_inverse_image @ B @ A )
            = empty_set ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( relation @ B )
       => ~ ( ( A != empty_set )
            & ( subset @ A @ ( relation_rng @ B ) )
            & ( ( relation_inverse_image @ B @ A )
              = empty_set ) ) ),
    inference('cnf.neg',[status(esa)],[t174_relat_1]) ).

thf(zip_derived_cl46,plain,
    subset @ sk__12 @ ( relation_rng @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ ( relation_rng @ sk__13 ) )
      | ~ ( in @ X0 @ sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl3]) ).

thf(zip_derived_cl1856,plain,
    ( ( sk__12 = empty_set )
    | ( in @ ( sk__1 @ sk__12 @ empty_set ) @ ( relation_rng @ sk__13 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1768,zip_derived_cl83]) ).

thf(zip_derived_cl48,plain,
    sk__12 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1862,plain,
    in @ ( sk__1 @ sk__12 @ empty_set ) @ ( relation_rng @ sk__13 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1856,zip_derived_cl48]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1
       != ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__3 @ X2 @ X0 ) @ X2 ) @ X0 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d5_relat_1]) ).

thf(zip_derived_cl414,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_rng @ X0 ) )
      | ( in @ ( ordered_pair @ ( sk__3 @ X1 @ X0 ) @ X1 ) @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl5683,plain,
    ( ( in @ ( ordered_pair @ ( sk__3 @ ( sk__1 @ sk__12 @ empty_set ) @ sk__13 ) @ ( sk__1 @ sk__12 @ empty_set ) ) @ sk__13 )
    | ~ ( relation @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1862,zip_derived_cl414]) ).

thf(zip_derived_cl47,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5715,plain,
    in @ ( ordered_pair @ ( sk__3 @ ( sk__1 @ sk__12 @ empty_set ) @ sk__13 ) @ ( sk__1 @ sk__12 @ empty_set ) ) @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl5683,zip_derived_cl47]) ).

thf(t166_relat_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( relation @ C )
     => ( ( in @ A @ ( relation_inverse_image @ C @ B ) )
      <=> ? [D: $i] :
            ( ( in @ D @ B )
            & ( in @ ( ordered_pair @ A @ D ) @ C )
            & ( in @ D @ ( relation_rng @ C ) ) ) ) ) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ ( ordered_pair @ X2 @ X0 ) @ X3 )
      | ~ ( in @ X0 @ ( relation_rng @ X3 ) )
      | ( in @ X2 @ ( relation_inverse_image @ X3 @ X1 ) )
      | ~ ( relation @ X3 ) ),
    inference(cnf,[status(esa)],[t166_relat_1]) ).

thf(zip_derived_cl5732,plain,
    ! [X0: $i] :
      ( ~ ( relation @ sk__13 )
      | ( in @ ( sk__3 @ ( sk__1 @ sk__12 @ empty_set ) @ sk__13 ) @ ( relation_inverse_image @ sk__13 @ X0 ) )
      | ~ ( in @ ( sk__1 @ sk__12 @ empty_set ) @ ( relation_rng @ sk__13 ) )
      | ~ ( in @ ( sk__1 @ sk__12 @ empty_set ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5715,zip_derived_cl41]) ).

thf(zip_derived_cl47_010,plain,
    relation @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1862_011,plain,
    in @ ( sk__1 @ sk__12 @ empty_set ) @ ( relation_rng @ sk__13 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1856,zip_derived_cl48]) ).

thf(zip_derived_cl5768,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__3 @ ( sk__1 @ sk__12 @ empty_set ) @ sk__13 ) @ ( relation_inverse_image @ sk__13 @ X0 ) )
      | ~ ( in @ ( sk__1 @ sk__12 @ empty_set ) @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5732,zip_derived_cl47,zip_derived_cl1862]) ).

thf(zip_derived_cl5824,plain,
    ( ( sk__12
      = ( relation_rng @ empty_set ) )
    | ~ ( empty @ empty_set )
    | ( in @ ( sk__3 @ ( sk__1 @ sk__12 @ empty_set ) @ sk__13 ) @ ( relation_inverse_image @ sk__13 @ sk__12 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2548,zip_derived_cl5768]) ).

thf(zip_derived_cl99_012,plain,
    ( ( relation_rng @ empty_set )
    = empty_set ),
    inference('sup+',[status(thm)],[zip_derived_cl85,zip_derived_cl21]) ).

thf(zip_derived_cl21_013,plain,
    empty @ empty_set,
    inference(cnf,[status(esa)],[fc1_xboole_0]) ).

thf(zip_derived_cl45,plain,
    ( ( relation_inverse_image @ sk__13 @ sk__12 )
    = empty_set ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1754_014,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ empty_set ),
    inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl21]) ).

thf(zip_derived_cl5832,plain,
    sk__12 = empty_set,
    inference(demod,[status(thm)],[zip_derived_cl5824,zip_derived_cl99,zip_derived_cl21,zip_derived_cl45,zip_derived_cl1754]) ).

thf(zip_derived_cl48_015,plain,
    sk__12 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5833,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl5832,zip_derived_cl48]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.l67U5Ve3r3 true
% 0.13/0.34  % Computer : n022.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 : Wed Aug 23 15:18:41 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
% 0.20/0.57  % Total configuration time : 435
% 0.20/0.57  % Estimated wc time : 1092
% 0.20/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.70  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.92/1.33  % Solved by fo/fo5.sh.
% 4.92/1.33  % done 959 iterations in 0.600s
% 4.92/1.33  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.92/1.33  % SZS output start Refutation
% See solution above
% 4.92/1.34  
% 4.92/1.34  
% 4.92/1.34  % Terminating...
% 4.92/1.40  % Runner terminated.
% 4.92/1.41  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------