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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET959+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NXSQtnJTfS true

% Computer : n031.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 04:53:14 PM UTC 2025

% Result   : Theorem 0.50s 0.76s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   22 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   56 (  17 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  193 (  27   ~;  20   |;   8   &; 132   @)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :   39 (   0   ^;  39   !;   0   ?;  39   :)

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

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

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

thf(sk__6_type,type,
    sk__6: $i > $i ).

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

thf(sk__8_type,type,
    sk__8: $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

thf(t112_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( ! [C: $i] :
            ~ ( ( in @ C @ A )
              & ! [D: $i,E: $i] :
                  ( C
                 != ( ordered_pair @ D @ E ) ) )
        & ! [C: $i] :
            ~ ( ( in @ C @ B )
              & ! [D: $i,E: $i] :
                  ( C
                 != ( ordered_pair @ D @ E ) ) )
        & ! [C: $i,D: $i] :
            ( ( in @ ( ordered_pair @ C @ D ) @ A )
          <=> ( in @ ( ordered_pair @ C @ D ) @ B ) ) )
     => ( A = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( ! [C: $i] :
              ~ ( ( in @ C @ A )
                & ! [D: $i,E: $i] :
                    ( C
                   != ( ordered_pair @ D @ E ) ) )
          & ! [C: $i] :
              ~ ( ( in @ C @ B )
                & ! [D: $i,E: $i] :
                    ( C
                   != ( ordered_pair @ D @ E ) ) )
          & ! [C: $i,D: $i] :
              ( ( in @ ( ordered_pair @ C @ D ) @ A )
            <=> ( in @ ( ordered_pair @ C @ D ) @ B ) ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t112_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ! [X4: $i] :
      ( ~ ( in @ X4 @ sk__2 )
      | ( X4
        = ( ordered_pair @ ( sk__3 @ X4 ) @ ( sk__4 @ X4 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__5 )
      | ~ ( in @ ( ordered_pair @ X0 @ X1 ) @ sk__2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl71,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__2 )
      | ( in @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__2 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl10,zip_derived_cl7]) ).

thf(zip_derived_cl74,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl71]) ).

thf(t2_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ! [C: $i] :
          ( ( in @ C @ A )
        <=> ( in @ C @ B ) )
     => ( A = B ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X0 )
      | ~ ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t2_tarski]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__8 @ sk__5 @ X0 ) @ sk__2 )
      | ( X0 = sk__5 )
      | ~ ( in @ ( sk__8 @ sk__5 @ X0 ) @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl11]) ).

thf(zip_derived_cl95,plain,
    ( ~ ( in @ ( sk__8 @ sk__5 @ sk__2 ) @ sk__2 )
    | ( sk__2 = sk__5 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl6,plain,
    sk__2 != sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl96,plain,
    ~ ( in @ ( sk__8 @ sk__5 @ sk__2 ) @ sk__2 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl95,zip_derived_cl6]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1 = X0 )
      | ( in @ ( sk__8 @ X0 @ X1 ) @ X0 )
      | ( in @ ( sk__8 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t2_tarski]) ).

thf(zip_derived_cl9,plain,
    ! [X3: $i] :
      ( ~ ( in @ X3 @ sk__5 )
      | ( X3
        = ( ordered_pair @ ( sk__6 @ X3 ) @ ( sk__7 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X2: $i] :
      ( ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__2 )
      | ~ ( in @ ( ordered_pair @ X0 @ X2 ) @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__5 )
      | ( in @ X0 @ sk__2 )
      | ~ ( in @ X0 @ sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__2 )
      | ~ ( in @ X0 @ sk__5 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl91,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__8 @ sk__5 @ X0 ) @ X0 )
      | ( X0 = sk__5 )
      | ( in @ ( sk__8 @ sk__5 @ X0 ) @ sk__2 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl70]) ).

thf(zip_derived_cl108,plain,
    ( ( sk__2 = sk__5 )
    | ( in @ ( sk__8 @ sk__5 @ sk__2 ) @ sk__2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl6_001,plain,
    sk__2 != sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl109,plain,
    in @ ( sk__8 @ sk__5 @ sk__2 ) @ sk__2,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl108,zip_derived_cl6]) ).

thf(zip_derived_cl119,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl96,zip_derived_cl109]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SET959+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% 0.02/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NXSQtnJTfS true
% 0.11/0.32  % Computer : n031.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 13:20:08 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.32  % Python version: Python 3.6.8
% 0.11/0.32  % Running in FO mode
% 0.48/0.59  % Total configuration time : 435
% 0.48/0.59  % Estimated wc time : 1092
% 0.48/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.76  % Solved by fo/fo6_bce.sh.
% 0.50/0.76  % BCE start: 13
% 0.50/0.76  % BCE eliminated: 0
% 0.50/0.76  % PE start: 13
% 0.50/0.76  logic: eq
% 0.50/0.76  % PE eliminated: 1
% 0.50/0.76  % done 27 iterations in 0.029s
% 0.50/0.76  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.50/0.76  % SZS output start Refutation
% See solution above
% 0.50/0.76  
% 0.50/0.76  
% 0.50/0.76  % Terminating...
% 0.52/0.83  % Runner terminated.
% 0.52/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------