TSTP Solution File: SEV515+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0IMzMViw7T true

% Computer : n028.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 20:00:58 EDT 2023

% Result   : Theorem 1.46s 0.85s
% Output   : Refutation 1.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   12
% Syntax   : Number of formulae    :  115 (  29 unt;   7 typ;   0 def)
%            Number of atoms       :  321 (   0 equ;   0 cnn)
%            Maximal formula atoms :   24 (   2 avg)
%            Number of connectives : 1045 (  96   ~; 185   |;  25   &; 736   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :  117 (   0   ^; 107   !;  10   ?; 117   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__2_type,type,
    sk__2: $i ).

thf(g_both_type,type,
    g_both: $i > $i > $o ).

thf(g_false_only_type,type,
    g_false_only: $i > $i > $o ).

thf(g_true_type,type,
    g_true: $i > $i > $o ).

thf(g_true_only_type,type,
    g_true_only: $i > $i > $o ).

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

thf(g_false_type,type,
    g_false: $i > $i > $o ).

thf(exhaustion_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_false_only @ X_2 @ X_1 )
      | ( g_both @ X_2 @ X_1 )
      | ( g_true_only @ X_2 @ X_1 ) ) ).

thf(zip_derived_cl47,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl47_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(nc1,conjecture,
    ( ( ~ ? [A: $i] :
          ! [B: $i] :
            ( ( ( g_true_only @ B @ B )
              & ( g_false_only @ B @ A ) )
            | ( ( g_false_only @ B @ B )
              & ( g_true_only @ B @ A ) ) )
      & ? [A: $i] :
          ( ~ ? [B: $i] :
                ( ( ( ( g_both @ B @ B )
                    | ( g_false_only @ B @ B ) )
                  & ( g_false_only @ B @ A ) )
                | ( ( ( g_true_only @ B @ B )
                    | ( g_false_only @ B @ B ) )
                  & ( g_both @ B @ A ) )
                | ( ( ( g_true_only @ B @ B )
                    | ( g_both @ B @ B ) )
                  & ( g_true_only @ B @ A ) ) )
          & ? [B: $i] :
              ( ( g_both @ B @ B )
              & ( g_both @ B @ A ) ) ) )
    | ! [A: $i] :
      ? [B: $i] :
        ( ( ( ( g_both @ B @ B )
            | ( g_false_only @ B @ B ) )
          & ( g_false_only @ B @ A ) )
        | ( ( ( g_true_only @ B @ B )
            | ( g_false_only @ B @ B ) )
          & ( g_both @ B @ A ) )
        | ( ( ( g_true_only @ B @ B )
            | ( g_both @ B @ B ) )
          & ( g_true_only @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ~ ? [A: $i] :
            ! [B: $i] :
              ( ( ( g_true_only @ B @ B )
                & ( g_false_only @ B @ A ) )
              | ( ( g_false_only @ B @ B )
                & ( g_true_only @ B @ A ) ) )
        & ? [A: $i] :
            ( ~ ? [B: $i] :
                  ( ( ( ( g_both @ B @ B )
                      | ( g_false_only @ B @ B ) )
                    & ( g_false_only @ B @ A ) )
                  | ( ( ( g_true_only @ B @ B )
                      | ( g_false_only @ B @ B ) )
                    & ( g_both @ B @ A ) )
                  | ( ( ( g_true_only @ B @ B )
                      | ( g_both @ B @ B ) )
                    & ( g_true_only @ B @ A ) ) )
            & ? [B: $i] :
                ( ( g_both @ B @ B )
                & ( g_both @ B @ A ) ) ) )
      | ! [A: $i] :
        ? [B: $i] :
          ( ( ( ( g_both @ B @ B )
              | ( g_false_only @ B @ B ) )
            & ( g_false_only @ B @ A ) )
          | ( ( ( g_true_only @ B @ B )
              | ( g_false_only @ B @ B ) )
            & ( g_both @ B @ A ) )
          | ( ( ( g_true_only @ B @ B )
              | ( g_both @ B @ B ) )
            & ( g_true_only @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[nc1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i] :
      ( ( g_true_only @ X0 @ sk__2 )
      | ( g_both @ X0 @ sk__2 )
      | ~ ( g_false_only @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X1: $i] :
      ( ~ ( g_false_only @ X1 @ X1 )
      | ~ ( g_both @ X1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i] :
      ( ( g_true_only @ X0 @ X0 )
      | ( g_both @ X0 @ X0 )
      | ( g_true_only @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl86]) ).

thf(zip_derived_cl47_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    ~ ( g_false_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl67,plain,
    ( ( g_true_only @ sk__2 @ sk__2 )
    | ( g_both @ sk__2 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl48]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ~ ( g_true_only @ X2 @ X2 )
      | ~ ( g_true_only @ X2 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl59,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl68,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl19,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( g_false_only @ X3 @ X3 )
      | ( g_true_only @ X3 @ X3 )
      | ~ ( g_both @ X4 @ X4 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ ( sk__1 @ X5 ) @ X5 )
      | ( g_both @ ( sk__1 @ X5 ) @ X5 )
      | ( g_true_only @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) )
      | ( g_both @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl290,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_both @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ( g_true_only @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ( g_both @ ( sk__1 @ X0 ) @ X0 )
      | ( g_false_only @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( g_both @ sk__2 @ X0 )
      | ( g_true_only @ X1 @ X1 )
      | ( g_false_only @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl19]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ( ( g_true_only @ sk__2 @ sk__2 )
      | ( g_true_only @ sk__2 @ sk__2 )
      | ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_both @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl290]) ).

thf(zip_derived_cl59_004,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl59_005,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl68_006,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl68_007,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl14,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( g_false_only @ X3 @ X3 )
      | ( g_true_only @ X3 @ X3 )
      | ~ ( g_both @ X4 @ X4 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) )
      | ( g_both @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) )
      | ( g_both @ ( sk__1 @ X5 ) @ X5 )
      | ( g_true_only @ ( sk__1 @ X5 ) @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl245,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true_only @ ( sk__1 @ X0 ) @ X0 )
      | ( g_both @ ( sk__1 @ X0 ) @ X0 )
      | ( g_both @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ( g_false_only @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ~ ( g_both @ sk__2 @ X0 )
      | ( g_true_only @ X1 @ X1 )
      | ( g_false_only @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl14]) ).

thf(zip_derived_cl252,plain,
    ! [X0: $i] :
      ( ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_both @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl245]) ).

thf(zip_derived_cl86_008,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl256,plain,
    ! [X0: $i] :
      ( ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl252,zip_derived_cl86]) ).

thf(zip_derived_cl47_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( g_true_only @ X0 @ sk__2 )
      | ( g_both @ X0 @ sk__2 )
      | ~ ( g_both @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ~ ( g_both @ X2 @ X2 )
      | ~ ( g_true_only @ X2 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl82,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ( g_both @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl65,zip_derived_cl5]) ).

thf(zip_derived_cl257,plain,
    ! [X0: $i] :
      ( ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl256,zip_derived_cl82]) ).

thf(zip_derived_cl0_010,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl261,plain,
    ( ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ( g_true_only @ sk__2 @ sk__2 )
    | ~ ( g_both @ sk__2 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl257,zip_derived_cl0]) ).

thf(zip_derived_cl59_011,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl68_012,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl265,plain,
    ( ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl261,zip_derived_cl59,zip_derived_cl68]) ).

thf(zip_derived_cl2,plain,
    ! [X1: $i] :
      ( ~ ( g_true_only @ X1 @ X1 )
      | ~ ( g_both @ X1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl271,plain,
    ( ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ~ ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl265,zip_derived_cl2]) ).

thf(zip_derived_cl4_013,plain,
    ! [X2: $i] :
      ( ~ ( g_true_only @ X2 @ X2 )
      | ~ ( g_true_only @ X2 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl273,plain,
    ~ ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl4]) ).

thf(zip_derived_cl298,plain,
    ! [X0: $i] :
      ( ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl293,zip_derived_cl59,zip_derived_cl59,zip_derived_cl273]) ).

thf(zip_derived_cl88_014,plain,
    ! [X0: $i] :
      ( ( g_true_only @ X0 @ X0 )
      | ( g_both @ X0 @ X0 )
      | ( g_true_only @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl86]) ).

thf(zip_derived_cl68_015,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl20,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ( g_false_only @ X3 @ X3 )
      | ( g_true_only @ X3 @ X3 )
      | ~ ( g_both @ X4 @ X4 )
      | ~ ( g_both @ X4 @ X5 )
      | ( g_false_only @ ( sk__1 @ X5 ) @ X5 )
      | ( g_false_only @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) )
      | ( g_true_only @ ( sk__1 @ X5 ) @ ( sk__1 @ X5 ) )
      | ( g_true_only @ ( sk__1 @ X5 ) @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true_only @ ( sk__1 @ X0 ) @ X0 )
      | ( g_true_only @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ( g_false_only @ ( sk__1 @ X0 ) @ ( sk__1 @ X0 ) )
      | ( g_false_only @ ( sk__1 @ X0 ) @ X0 )
      | ~ ( g_both @ sk__2 @ X0 )
      | ( g_true_only @ X1 @ X1 )
      | ( g_false_only @ X1 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl20]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i] :
      ( ( g_true_only @ sk__2 @ sk__2 )
      | ( g_true_only @ sk__2 @ sk__2 )
      | ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl88,zip_derived_cl306]) ).

thf(zip_derived_cl59_016,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl59_017,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl47_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(zip_derived_cl47_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_both @ X0 @ X1 )
      | ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[exhaustion_g]) ).

thf(false_only_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_false_only @ X_2 @ X_1 )
    <=> ( ( g_false @ X_2 @ X_1 )
        & ~ ( g_true @ X_2 @ X_1 ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X0 @ X1 )
      | ~ ( g_false_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[false_only_g]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true_only @ X1 @ X0 )
      | ( g_both @ X1 @ X0 )
      | ( g_false @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl44]) ).

thf(both_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_both @ X_2 @ X_1 )
    <=> ( ( g_true @ X_2 @ X_1 )
        & ( g_false @ X_2 @ X_1 ) ) ) ).

thf(zip_derived_cl42,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X0 @ X1 )
      | ~ ( g_both @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[both_g]) ).

thf(zip_derived_cl113,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X1 @ X0 )
      | ( g_true_only @ X1 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl64,zip_derived_cl42]) ).

thf(true_only_g,axiom,
    ! [X_2: $i,X_1: $i] :
      ( ( g_true_only @ X_2 @ X_1 )
    <=> ( ( g_true @ X_2 @ X_1 )
        & ~ ( g_false @ X_2 @ X_1 ) ) ) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_true @ X0 @ X1 )
      | ~ ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[true_only_g]) ).

thf(zip_derived_cl114,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X1 @ X0 )
      | ( g_true @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl38]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_both @ X0 @ X1 )
      | ~ ( g_false @ X0 @ X1 )
      | ~ ( g_true @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[both_g]) ).

thf(zip_derived_cl3_020,plain,
    ! [X1: $i] :
      ( ~ ( g_false_only @ X1 @ X1 )
      | ~ ( g_both @ X1 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $i] :
      ( ~ ( g_true @ X0 @ sk__2 )
      | ~ ( g_false @ X0 @ sk__2 )
      | ~ ( g_false_only @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl3]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_true @ X0 @ X1 )
      | ~ ( g_false @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[false_only_g]) ).

thf(zip_derived_cl1_021,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ~ ( g_false @ X0 @ sk__2 )
      | ( g_true @ X0 @ sk__2 )
      | ~ ( g_false_only @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl1]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ~ ( g_false @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl52,zip_derived_cl56]) ).

thf(zip_derived_cl121,plain,
    ! [X0: $i] :
      ( ( g_true @ X0 @ sk__2 )
      | ~ ( g_false_only @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl62]) ).

thf(zip_derived_cl142,plain,
    ! [X0: $i] :
      ( ( g_true_only @ X0 @ X0 )
      | ( g_both @ X0 @ X0 )
      | ( g_true @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl121]) ).

thf(zip_derived_cl114_022,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X1 @ X0 )
      | ( g_true @ X1 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl38]) ).

thf(zip_derived_cl46_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false_only @ X0 @ X1 )
      | ( g_true @ X0 @ X1 )
      | ~ ( g_false @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[false_only_g]) ).

thf(zip_derived_cl0_024,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $i] :
      ( ~ ( g_false @ X0 @ sk__2 )
      | ( g_true @ X0 @ sk__2 )
      | ~ ( g_both @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl46,zip_derived_cl0]) ).

thf(zip_derived_cl120,plain,
    ! [X0: $i] :
      ( ( g_true @ X0 @ sk__2 )
      | ~ ( g_both @ X0 @ X0 )
      | ( g_true @ X0 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl114,zip_derived_cl55]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ( g_true @ X0 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl165,plain,
    ! [X0: $i] :
      ( ( g_true @ X0 @ sk__2 )
      | ( g_true_only @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl142,zip_derived_cl122]) ).

thf(zip_derived_cl273_025,plain,
    ~ ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl4]) ).

thf(zip_derived_cl274,plain,
    g_true @ ( sk__1 @ sk__2 ) @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl165,zip_derived_cl273]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_true @ X0 @ X1 )
      | ~ ( g_false_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[false_only_g]) ).

thf(zip_derived_cl276,plain,
    ~ ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl45]) ).

thf(zip_derived_cl273_026,plain,
    ~ ( g_true_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl271,zip_derived_cl4]) ).

thf(zip_derived_cl314,plain,
    ! [X0: $i] :
      ( ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) )
      | ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl309,zip_derived_cl59,zip_derived_cl59,zip_derived_cl276,zip_derived_cl273]) ).

thf(zip_derived_cl86_027,plain,
    ! [X0: $i] :
      ( ~ ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl66,zip_derived_cl3]) ).

thf(zip_derived_cl318,plain,
    ! [X0: $i] :
      ( ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl314,zip_derived_cl86]) ).

thf(zip_derived_cl0_028,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl322,plain,
    ( ( g_true_only @ sk__2 @ sk__2 )
    | ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ~ ( g_both @ sk__2 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl318,zip_derived_cl0]) ).

thf(zip_derived_cl59_029,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl68_030,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl326,plain,
    g_true_only @ ( sk__1 @ sk__2 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl59,zip_derived_cl68]) ).

thf(zip_derived_cl5_031,plain,
    ! [X2: $i] :
      ( ~ ( g_both @ X2 @ X2 )
      | ~ ( g_true_only @ X2 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ~ ( g_both @ ( sk__1 @ sk__2 ) @ ( sk__1 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl326,zip_derived_cl5]) ).

thf(zip_derived_cl344,plain,
    ! [X0: $i] :
      ( ( g_false_only @ X0 @ X0 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl332]) ).

thf(zip_derived_cl276_032,plain,
    ~ ( g_false_only @ ( sk__1 @ sk__2 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl274,zip_derived_cl45]) ).

thf(zip_derived_cl345,plain,
    ! [X0: $i] :
      ( ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
      | ( g_true_only @ X0 @ X0 )
      | ( g_false_only @ X0 @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl344,zip_derived_cl276]) ).

thf(zip_derived_cl0_033,plain,
    ! [X0: $i] :
      ( ~ ( g_both @ X0 @ X0 )
      | ~ ( g_false_only @ X0 @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl349,plain,
    ( ( g_true_only @ sk__2 @ sk__2 )
    | ( g_both @ ( sk__1 @ sk__2 ) @ sk__2 )
    | ~ ( g_both @ sk__2 @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl345,zip_derived_cl0]) ).

thf(zip_derived_cl59_034,plain,
    ~ ( g_true_only @ sk__2 @ sk__2 ),
    inference(eq_fact,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl68_035,plain,
    g_both @ sk__2 @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl59]) ).

thf(zip_derived_cl353,plain,
    g_both @ ( sk__1 @ sk__2 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl59,zip_derived_cl68]) ).

thf(zip_derived_cl42_036,plain,
    ! [X0: $i,X1: $i] :
      ( ( g_false @ X0 @ X1 )
      | ~ ( g_both @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[both_g]) ).

thf(zip_derived_cl358,plain,
    g_false @ ( sk__1 @ sk__2 ) @ sk__2,
    inference('sup-',[status(thm)],[zip_derived_cl353,zip_derived_cl42]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( g_false @ X0 @ X1 )
      | ~ ( g_true_only @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[true_only_g]) ).

thf(zip_derived_cl363,plain,
    ~ ( g_true_only @ ( sk__1 @ sk__2 ) @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl358,zip_derived_cl39]) ).

thf(zip_derived_cl326_037,plain,
    g_true_only @ ( sk__1 @ sk__2 ) @ sk__2,
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl59,zip_derived_cl68]) ).

thf(zip_derived_cl365,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl363,zip_derived_cl326]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV515+1 : TPTP v8.1.2. Released v7.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0IMzMViw7T true
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu Aug 24 03:26:19 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.46/0.85  % Solved by fo/fo7.sh.
% 1.46/0.85  % done 152 iterations in 0.055s
% 1.46/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.46/0.85  % SZS output start Refutation
% See solution above
% 1.46/0.85  
% 1.46/0.85  
% 1.46/0.85  % Terminating...
% 1.64/0.96  % Runner terminated.
% 1.64/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------