TSTP Solution File: SEU242+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU242+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.VhaeZAN1mv true

% Computer : n005.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 19:11:33 EDT 2023

% Result   : Theorem 1.45s 0.97s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   74 (  18 unt;  11 typ;   0 def)
%            Number of atoms       :  202 (  32 equ;   0 cnn)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :  756 (  75   ~; 119   |;  12   &; 542   @)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-2 aty)
%            Number of variables   :   45 (   0   ^;  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__6_type,type,
    sk__6: $i ).

thf(is_connected_in_type,type,
    is_connected_in: $i > $i > $o ).

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

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

thf(relation_field_type,type,
    relation_field: $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

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

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

thf(connected_type,type,
    connected: $i > $o ).

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

thf(l4_wellord1,conjecture,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( connected @ A )
      <=> ! [B: $i,C: $i] :
            ~ ( ( in @ B @ ( relation_field @ A ) )
              & ( in @ C @ ( relation_field @ A ) )
              & ( B != C )
              & ~ ( in @ ( ordered_pair @ B @ C ) @ A )
              & ~ ( in @ ( ordered_pair @ C @ B ) @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( relation @ A )
       => ( ( connected @ A )
        <=> ! [B: $i,C: $i] :
              ~ ( ( in @ B @ ( relation_field @ A ) )
                & ( in @ C @ ( relation_field @ A ) )
                & ( B != C )
                & ~ ( in @ ( ordered_pair @ B @ C ) @ A )
                & ~ ( in @ ( ordered_pair @ C @ B ) @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[l4_wellord1]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
    | ~ ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(d14_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ( ( connected @ A )
      <=> ( is_connected_in @ A @ ( relation_field @ A ) ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
      | ( connected @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d14_relat_2]) ).

thf(d6_relat_2,axiom,
    ! [A: $i] :
      ( ( relation @ A )
     => ! [B: $i] :
          ( ( is_connected_in @ A @ B )
        <=> ! [C: $i,D: $i] :
              ~ ( ( in @ C @ B )
                & ( in @ D @ B )
                & ( C != D )
                & ~ ( in @ ( ordered_pair @ C @ D ) @ A )
                & ~ ( in @ ( ordered_pair @ D @ C ) @ A ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk__1 @ X0 @ X1 ) @ ( sk_ @ X0 @ X1 ) ) @ X1 )
      | ( is_connected_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( ordered_pair @ ( sk_ @ X0 @ X1 ) @ ( sk__1 @ X0 @ X1 ) ) @ X1 )
      | ( is_connected_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl16,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__1 @ X0 @ X1 ) @ X0 )
      | ( is_connected_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( is_connected_in @ sk__4 @ X0 )
      | ( in @ ( sk__1 @ X0 @ sk__4 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl3]) ).

thf(zip_derived_cl16_001,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk_ @ X0 @ X1 ) @ X0 )
      | ( is_connected_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i] :
      ( ( is_connected_in @ sk__4 @ X0 )
      | ( in @ ( sk_ @ X0 @ sk__4 ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl7]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ ( relation_field @ sk__4 ) )
      | ( X1 = X0 )
      | ( in @ ( ordered_pair @ X1 @ X0 ) @ sk__4 )
      | ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__4 )
      | ~ ( in @ X1 @ ( relation_field @ sk__4 ) )
      | ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl84,plain,
    ! [X0: $i] :
      ( ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
      | ( connected @ sk__4 )
      | ~ ( in @ X0 @ ( relation_field @ sk__4 ) )
      | ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) @ X0 ) @ sk__4 )
      | ( in @ ( ordered_pair @ X0 @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
      | ( X0
        = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl41,zip_derived_cl22]) ).

thf(zip_derived_cl267,plain,
    ( ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( in @ ( ordered_pair @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( connected @ sk__4 )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl84]) ).

thf(zip_derived_cl271,plain,
    ( ( connected @ sk__4 )
    | ( in @ ( ordered_pair @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( in @ ( ordered_pair @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl267]) ).

thf(zip_derived_cl281,plain,
    ( ~ ( relation @ sk__4 )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( in @ ( ordered_pair @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( connected @ sk__4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl271]) ).

thf(zip_derived_cl16_002,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl282,plain,
    ( ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( in @ ( ordered_pair @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( connected @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl281,zip_derived_cl16]) ).

thf(zip_derived_cl283,plain,
    ( ( connected @ sk__4 )
    | ( in @ ( ordered_pair @ ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) @ ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) ) @ sk__4 )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl359,plain,
    ( ~ ( relation @ sk__4 )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl283]) ).

thf(zip_derived_cl16_003,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl360,plain,
    ( ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl359,zip_derived_cl16]) ).

thf(zip_derived_cl361,plain,
    ( ( connected @ sk__4 )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( is_connected_in @ sk__4 @ ( relation_field @ sk__4 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl360]) ).

thf(zip_derived_cl366,plain,
    ( ~ ( relation @ sk__4 )
    | ( connected @ sk__4 )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl361]) ).

thf(zip_derived_cl16_004,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl367,plain,
    ( ( connected @ sk__4 )
    | ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl366,zip_derived_cl16]) ).

thf(zip_derived_cl368,plain,
    ( ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
      = ( sk_ @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl367]) ).

thf(zip_derived_cl1_005,plain,
    ! [X0: $i] :
      ( ~ ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
      | ( connected @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d14_relat_2]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( sk_ @ X0 @ X1 )
       != ( sk__1 @ X0 @ X1 ) )
      | ( is_connected_in @ X1 @ X0 )
      | ~ ( relation @ X1 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ~ ( relation @ X0 )
      | ( connected @ X0 )
      | ~ ( relation @ X0 )
      | ( ( sk_ @ ( relation_field @ X0 ) @ X0 )
       != ( sk__1 @ ( relation_field @ X0 ) @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl4]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( ( sk_ @ ( relation_field @ X0 ) @ X0 )
       != ( sk__1 @ ( relation_field @ X0 ) @ X0 ) )
      | ( connected @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl376,plain,
    ( ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
     != ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 )
    | ~ ( relation @ sk__4 )
    | ( connected @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl368,zip_derived_cl34]) ).

thf(zip_derived_cl16_006,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl379,plain,
    ( ( ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 )
     != ( sk__1 @ ( relation_field @ sk__4 ) @ sk__4 ) )
    | ( connected @ sk__4 )
    | ( connected @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl376,zip_derived_cl16]) ).

thf(zip_derived_cl380,plain,
    connected @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl383,plain,
    ~ ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl380]) ).

thf(zip_derived_cl21,plain,
    ( ( in @ sk__6 @ ( relation_field @ sk__4 ) )
    | ~ ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380_007,plain,
    connected @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl385,plain,
    in @ sk__6 @ ( relation_field @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl380]) ).

thf(zip_derived_cl17,plain,
    ( ( in @ sk__5 @ ( relation_field @ sk__4 ) )
    | ~ ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ~ ( connected @ X0 )
      | ( is_connected_in @ X0 @ ( relation_field @ X0 ) )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d14_relat_2]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( is_connected_in @ X0 @ X1 )
      | ~ ( in @ X2 @ X1 )
      | ( in @ ( ordered_pair @ X3 @ X2 ) @ X0 )
      | ( in @ ( ordered_pair @ X2 @ X3 ) @ X0 )
      | ( X2 = X3 )
      | ~ ( in @ X3 @ X1 )
      | ~ ( relation @ X0 ) ),
    inference(cnf,[status(esa)],[d6_relat_2]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relation @ X0 )
      | ~ ( connected @ X0 )
      | ~ ( relation @ X0 )
      | ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ( X2 = X1 )
      | ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
      | ( in @ ( ordered_pair @ X1 @ X2 ) @ X0 )
      | ~ ( in @ X2 @ ( relation_field @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl61,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X2 @ ( relation_field @ X0 ) )
      | ( in @ ( ordered_pair @ X1 @ X2 ) @ X0 )
      | ( in @ ( ordered_pair @ X2 @ X1 ) @ X0 )
      | ( X2 = X1 )
      | ~ ( in @ X1 @ ( relation_field @ X0 ) )
      | ~ ( connected @ X0 )
      | ~ ( relation @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl134,plain,
    ! [X0: $i] :
      ( ~ ( connected @ sk__4 )
      | ~ ( relation @ sk__4 )
      | ~ ( connected @ sk__4 )
      | ~ ( in @ X0 @ ( relation_field @ sk__4 ) )
      | ( sk__5 = X0 )
      | ( in @ ( ordered_pair @ sk__5 @ X0 ) @ sk__4 )
      | ( in @ ( ordered_pair @ X0 @ sk__5 ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl61]) ).

thf(zip_derived_cl16_008,plain,
    relation @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] :
      ( ~ ( connected @ sk__4 )
      | ~ ( connected @ sk__4 )
      | ~ ( in @ X0 @ ( relation_field @ sk__4 ) )
      | ( sk__5 = X0 )
      | ( in @ ( ordered_pair @ sk__5 @ X0 ) @ sk__4 )
      | ( in @ ( ordered_pair @ X0 @ sk__5 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl134,zip_derived_cl16]) ).

thf(zip_derived_cl137,plain,
    ! [X0: $i] :
      ( ( in @ ( ordered_pair @ X0 @ sk__5 ) @ sk__4 )
      | ( in @ ( ordered_pair @ sk__5 @ X0 ) @ sk__4 )
      | ( sk__5 = X0 )
      | ~ ( in @ X0 @ ( relation_field @ sk__4 ) )
      | ~ ( connected @ sk__4 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl380_009,plain,
    connected @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl390,plain,
    ! [X0: $i] :
      ( ( in @ ( ordered_pair @ X0 @ sk__5 ) @ sk__4 )
      | ( in @ ( ordered_pair @ sk__5 @ X0 ) @ sk__4 )
      | ( sk__5 = X0 )
      | ~ ( in @ X0 @ ( relation_field @ sk__4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl137,zip_derived_cl380]) ).

thf(zip_derived_cl465,plain,
    ( ( sk__5 = sk__6 )
    | ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 )
    | ( in @ ( ordered_pair @ sk__6 @ sk__5 ) @ sk__4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl385,zip_derived_cl390]) ).

thf(zip_derived_cl18,plain,
    ( ~ ( in @ ( ordered_pair @ sk__6 @ sk__5 ) @ sk__4 )
    | ~ ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380_010,plain,
    connected @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl382,plain,
    ~ ( in @ ( ordered_pair @ sk__6 @ sk__5 ) @ sk__4 ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl380]) ).

thf(zip_derived_cl467,plain,
    ( ( sk__5 = sk__6 )
    | ( in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4 ) ),
    inference(demod,[status(thm)],[zip_derived_cl465,zip_derived_cl382]) ).

thf(zip_derived_cl20,plain,
    ( ( sk__5 != sk__6 )
    | ~ ( connected @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl380_011,plain,
    connected @ sk__4,
    inference(simplify,[status(thm)],[zip_derived_cl379]) ).

thf(zip_derived_cl384,plain,
    sk__5 != sk__6,
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl380]) ).

thf(zip_derived_cl468,plain,
    in @ ( ordered_pair @ sk__5 @ sk__6 ) @ sk__4,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl467,zip_derived_cl384]) ).

thf(zip_derived_cl469,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl383,zip_derived_cl468]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SEU242+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VhaeZAN1mv true
% 0.15/0.37  % Computer : n005.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Aug 23 18:52:08 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.38  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.24/0.69  % Total configuration time : 435
% 0.24/0.69  % Estimated wc time : 1092
% 0.24/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.28/0.80  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.28/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.28/0.80  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.45/0.97  % Solved by fo/fo4.sh.
% 1.45/0.97  % done 132 iterations in 0.125s
% 1.45/0.97  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/0.97  % SZS output start Refutation
% See solution above
% 1.45/0.97  
% 1.45/0.97  
% 1.45/0.97  % Terminating...
% 1.82/1.08  % Runner terminated.
% 1.82/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------