TSTP Solution File: NUM380+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM380+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s3kAsXOSlF true

% Computer : n013.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 12:41:12 EDT 2023

% Result   : Theorem 18.25s 3.21s
% Output   : Refutation 18.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   76 (  15 unt;  12 typ;   0 def)
%            Number of atoms       :  164 (  70 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  640 (  75   ~;  78   |;  16   &; 465   @)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-5 aty)
%            Number of variables   :  215 (   0   ^; 214   !;   1   ?; 215   :)

% Comments : 
%------------------------------------------------------------------------------
thf(unordered_quadruple_type,type,
    unordered_quadruple: $i > $i > $i > $i > $i ).

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

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

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

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

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

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

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

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

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

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

thf(d2_enumset1,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( E
        = ( unordered_quadruple @ A @ B @ C @ D ) )
    <=> ! [F: $i] :
          ( ( in @ F @ E )
        <=> ~ ( ( F != D )
              & ( F != C )
              & ( F != B )
              & ( F != A ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_0: $i > $i > $i > $i > $i > $o ).

thf(zf_stmt_1,axiom,
    ! [F: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( zip_tseitin_0 @ F @ D @ C @ B @ A )
    <=> ( ( F != A )
        & ( F != B )
        & ( F != C )
        & ( F != D ) ) ) ).

thf(zf_stmt_2,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ( E
        = ( unordered_quadruple @ A @ B @ C @ D ) )
    <=> ! [F: $i] :
          ( ( in @ F @ E )
        <=> ~ ( zip_tseitin_0 @ F @ D @ C @ B @ A ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( in @ X0 @ X5 )
      | ( X5
       != ( unordered_quadruple @ X4 @ X3 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 != X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X5
       != ( unordered_quadruple @ X0 @ X1 @ X2 @ X3 ) )
      | ( in @ X4 @ X5 )
      | ( X4 != X3 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).

thf(zip_derived_cl304,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X1 @ X0 )
      | ( X0
       != ( unordered_quadruple @ X4 @ X3 @ X2 @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl226]) ).

thf(zip_derived_cl319,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( in @ X0 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl304]) ).

thf(zip_derived_cl11_001,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( in @ X0 @ X5 )
      | ( X5
       != ( unordered_quadruple @ X4 @ X3 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 != X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 @ X4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl223,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X5
       != ( unordered_quadruple @ X0 @ X1 @ X2 @ X3 ) )
      | ( in @ X4 @ X5 )
      | ( X4 != X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl6]) ).

thf(zip_derived_cl295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X1 @ X0 )
      | ( X0
       != ( unordered_quadruple @ X1 @ X4 @ X3 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl307,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( in @ X3 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl295]) ).

thf(t4_ordinal1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ~ ( ( in @ A @ B )
        & ( in @ B @ C )
        & ( in @ C @ D )
        & ( in @ D @ A ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ~ ( ( in @ A @ B )
          & ( in @ B @ C )
          & ( in @ C @ D )
          & ( in @ D @ A ) ),
    inference('cnf.neg',[status(esa)],[t4_ordinal1]) ).

thf(zip_derived_cl46,plain,
    in @ sk__14 @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl49,plain,
    in @ sk__12 @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

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

thf(zip_derived_cl15,plain,
    ! [X0: $i] : ( element @ ( sk__1 @ 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_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ X1 )
      | ( empty @ X1 )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t2_subset]) ).

thf(zip_derived_cl221,plain,
    ! [X0: $i] :
      ( ( empty @ X0 )
      | ( in @ ( sk__1 @ X0 ) @ X0 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl45]) ).

thf(t7_tarski,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( in @ A @ B )
        & ! [C: $i] :
            ~ ( ( in @ C @ B )
              & ! [D: $i] :
                  ~ ( ( in @ D @ B )
                    & ( in @ D @ C ) ) ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ ( sk__16 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t7_tarski]) ).

thf(zip_derived_cl287,plain,
    ! [X0: $i] :
      ( ( empty @ X0 )
      | ( in @ ( sk__16 @ X0 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl52]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( X0 = X1 )
      | ( X0 = X2 )
      | ( X0 = X3 )
      | ( X0 = X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( zip_tseitin_0 @ X0 @ X2 @ X3 @ X4 @ X5 )
      | ( X1
       != ( unordered_quadruple @ X5 @ X4 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl231,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X4 = X0 )
      | ( X4 = X1 )
      | ( X4 = X2 )
      | ( X4 = X3 )
      | ( X5
       != ( unordered_quadruple @ X0 @ X1 @ X2 @ X3 ) )
      | ~ ( in @ X4 @ X5 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl12]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X4 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
      | ( X4 = X0 )
      | ( X4 = X1 )
      | ( X4 = X2 )
      | ( X4 = X3 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl231]) ).

thf(zip_derived_cl343,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( empty @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X3 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X2 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl287,zip_derived_cl306]) ).

thf(zip_derived_cl307_002,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( in @ X3 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl295]) ).

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

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( empty @ X1 ) ),
    inference(cnf,[status(esa)],[t7_boole]) ).

thf(zip_derived_cl321,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ~ ( empty @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl51]) ).

thf(zip_derived_cl345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X3 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X2 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl343,zip_derived_cl321]) ).

thf(zip_derived_cl53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ~ ( in @ X2 @ X1 )
      | ~ ( in @ X2 @ ( sk__16 @ X1 ) ) ),
    inference(cnf,[status(esa)],[t7_tarski]) ).

thf(zip_derived_cl276,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( sk__16 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl1273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( in @ X4 @ X0 )
      | ( ( sk__16 @ ( unordered_quadruple @ X0 @ X3 @ X2 @ X1 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ X0 @ X3 @ X2 @ X1 ) )
        = X2 )
      | ( ( sk__16 @ ( unordered_quadruple @ X0 @ X3 @ X2 @ X1 ) )
        = X3 )
      | ~ ( in @ X4 @ ( unordered_quadruple @ X0 @ X3 @ X2 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl276]) ).

thf(zip_derived_cl11_003,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( in @ X0 @ X5 )
      | ( X5
       != ( unordered_quadruple @ X4 @ X3 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 != X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X2 @ X3 @ X0 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl224,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X5
       != ( unordered_quadruple @ X0 @ X1 @ X2 @ X3 ) )
      | ( in @ X4 @ X5 )
      | ( X4 != X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl7]) ).

thf(zip_derived_cl302,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X1 @ X0 )
      | ( X0
       != ( unordered_quadruple @ X4 @ X1 @ X3 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl224]) ).

thf(zip_derived_cl308,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( in @ X2 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl1599,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X2 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) )
        = X0 )
      | ~ ( in @ X2 @ X3 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1273,zip_derived_cl308]) ).

thf(zip_derived_cl1626,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = X0 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = sk__12 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1599]) ).

thf(zip_derived_cl276_004,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( sk__16 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl1636,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ X0 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = sk__12 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = X1 )
      | ~ ( in @ X2 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1626,zip_derived_cl276]) ).

thf(zip_derived_cl11_005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 )
      | ( in @ X0 @ X5 )
      | ( X5
       != ( unordered_quadruple @ X4 @ X3 @ X2 @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( X1 != X0 )
      | ~ ( zip_tseitin_0 @ X1 @ X2 @ X0 @ X3 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl225,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ( X5
       != ( unordered_quadruple @ X0 @ X1 @ X2 @ X3 ) )
      | ( in @ X4 @ X5 )
      | ( X4 != X2 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl11,zip_derived_cl8]) ).

thf(zip_derived_cl303,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( in @ X1 @ X0 )
      | ( X0
       != ( unordered_quadruple @ X4 @ X3 @ X1 @ X2 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl225]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] : ( in @ X1 @ ( unordered_quadruple @ X3 @ X2 @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl303]) ).

thf(zip_derived_cl8202,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = X1 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ X1 @ X0 ) )
        = sk__12 )
      | ~ ( in @ X1 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1636,zip_derived_cl309]) ).

thf(zip_derived_cl8230,plain,
    ( ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) )
      = sk__12 )
    | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) )
      = sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl8202]) ).

thf(zip_derived_cl276_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( sk__16 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl8485,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__14 )
      | ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) )
        = sk__12 )
      | ~ ( in @ X0 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8230,zip_derived_cl276]) ).

thf(zip_derived_cl8527,plain,
    ( ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) )
      = sk__12 )
    | ~ ( in @ sk__13 @ sk__14 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl307,zip_derived_cl8485]) ).

thf(zip_derived_cl48,plain,
    in @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8535,plain,
    ( ( sk__16 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) )
    = sk__12 ),
    inference(demod,[status(thm)],[zip_derived_cl8527,zip_derived_cl48]) ).

thf(zip_derived_cl276_007,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ ( sk__16 @ X0 ) )
      | ~ ( in @ X1 @ X0 ) ),
    inference(condensation,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl8545,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__12 )
      | ~ ( in @ X0 @ ( unordered_quadruple @ sk__13 @ sk__12 @ sk__14 @ sk__15 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8535,zip_derived_cl276]) ).

thf(zip_derived_cl8592,plain,
    ~ ( in @ sk__15 @ sk__12 ),
    inference('sup-',[status(thm)],[zip_derived_cl319,zip_derived_cl8545]) ).

thf(zip_derived_cl47,plain,
    in @ sk__15 @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl8597,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8592,zip_derived_cl47]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM380+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.s3kAsXOSlF true
% 0.13/0.36  % Computer : n013.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Fri Aug 25 17:11:17 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % 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
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 18.25/3.21  % Solved by fo/fo3_bce.sh.
% 18.25/3.21  % BCE start: 55
% 18.25/3.21  % BCE eliminated: 6
% 18.25/3.21  % PE start: 49
% 18.25/3.21  logic: eq
% 18.25/3.21  % PE eliminated: 1
% 18.25/3.21  % done 1873 iterations in 2.446s
% 18.25/3.21  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 18.25/3.21  % SZS output start Refutation
% See solution above
% 18.25/3.21  
% 18.25/3.21  
% 18.25/3.21  % Terminating...
% 18.69/3.30  % Runner terminated.
% 18.69/3.32  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------