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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET900+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrFdfZ4Z8E true

% Computer : n011.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 Oct  2 04:53:06 PM UTC 2025

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  34 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   80 (  26   ~;  15   |;   9   &;  30   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   19 (   0   ^;  19   !;   0   ?;  19   :)

% Comments : 
%------------------------------------------------------------------------------
thf(singleton_type,type,
    singleton: $i > $i ).

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

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

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

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

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

thf(l45_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ~ ( ( A
         != ( singleton @ B ) )
        & ( A != empty_set )
        & ! [C: $i] :
            ~ ( ( in @ C @ A )
              & ( C != B ) ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ( in @ ( sk__4 @ X1 @ X0 ) @ X0 )
      | ( X0
        = ( singleton @ X1 ) ) ),
    inference(cnf,[status(esa)],[l45_zfmisc_1]) ).

thf(t41_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ~ ( ( A
         != ( singleton @ B ) )
        & ( A != empty_set )
        & ! [C: $i] :
            ~ ( ( in @ C @ A )
              & ( C != B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ~ ( ( A
           != ( singleton @ B ) )
          & ( A != empty_set )
          & ! [C: $i] :
              ~ ( ( in @ C @ A )
                & ( C != B ) ) ),
    inference('cnf.neg',[status(esa)],[t41_zfmisc_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__2 )
      | ( X0 = sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( sk__2
        = ( singleton @ X0 ) )
      | ( sk__2 = empty_set )
      | ( ( sk__4 @ X0 @ sk__2 )
        = sk__3 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5]) ).

thf(zip_derived_cl6,plain,
    sk__2 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl32,plain,
    ! [X0: $i] :
      ( ( sk__2
        = ( singleton @ X0 ) )
      | ( ( sk__4 @ X0 @ sk__2 )
        = sk__3 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl31,zip_derived_cl6]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = empty_set )
      | ( ( sk__4 @ X1 @ X0 )
       != X1 )
      | ( X0
        = ( singleton @ X1 ) ) ),
    inference(cnf,[status(esa)],[l45_zfmisc_1]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( sk__2
        = ( singleton @ X0 ) )
      | ( sk__2 = empty_set )
      | ( sk__3 != X0 )
      | ( sk__2
        = ( singleton @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl7]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( sk__3 != X0 )
      | ( sk__2 = empty_set )
      | ( sk__2
        = ( singleton @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl6_001,plain,
    sk__2 != empty_set,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( sk__3 != X0 )
      | ( sk__2
        = ( singleton @ X0 ) ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36,zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    ( sk__2
   != ( singleton @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl42,plain,
    ( ( sk__3 != sk__3 )
    | ( sk__2 != sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl4]) ).

thf(zip_derived_cl43,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl42]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET900+1 : TPTP v9.2.0. Released v3.2.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mrFdfZ4Z8E true
% 0.13/0.34  % Computer : n011.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 Oct  1 13:18:23 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75  % Solved by fo/fo6_bce.sh.
% 0.56/0.75  % BCE start: 9
% 0.56/0.75  % BCE eliminated: 0
% 0.56/0.75  % PE start: 9
% 0.56/0.75  logic: eq
% 0.56/0.75  % PE eliminated: 1
% 0.56/0.75  % done 12 iterations in 0.009s
% 0.56/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.75  % SZS output start Refutation
% See solution above
% 0.56/0.75  
% 0.56/0.75  
% 0.56/0.75  % Terminating...
% 1.52/0.85  % Runner terminated.
% 1.52/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------