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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU151+3 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ck2Vg2zwhc true

% Computer : n007.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 04:53:36 PM UTC 2025

% Result   : Theorem 1.39s 1.98s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   36 (  27 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   88 (  17   ~;  13   |;   4   &;  52   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   34 (   0   ^;  34   !;   0   ?;  34   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__5_type,type,
    sk__5: $i ).

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

thf(unordered_pair_type,type,
    unordered_pair: $i > $i > $i ).

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

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

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

thf(commutativity_k2_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( unordered_pair @ A @ B )
      = ( unordered_pair @ B @ A ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(d2_tarski,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( C
        = ( unordered_pair @ A @ B ) )
    <=> ! [D: $i] :
          ( ( in @ D @ C )
        <=> ( ( D = A )
            | ( D = B ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( X1 != X0 )
      | ( in @ X1 @ X2 )
      | ( X2
       != ( unordered_pair @ X3 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d2_tarski]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( unordered_pair @ X2 @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] : ( in @ X0 @ ( unordered_pair @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i,X1: $i] : ( in @ X1 @ ( unordered_pair @ X1 @ X0 ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl23]) ).

thf(t10_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ~ ( ( ( unordered_pair @ A @ B )
          = ( unordered_pair @ C @ D ) )
        & ( A != C )
        & ( A != D ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i,D: $i] :
        ~ ( ( ( unordered_pair @ A @ B )
            = ( unordered_pair @ C @ D ) )
          & ( A != C )
          & ( A != D ) ),
    inference('cnf.neg',[status(esa)],[t10_zfmisc_1]) ).

thf(zip_derived_cl10,plain,
    ( ( unordered_pair @ sk__3 @ sk__4 )
    = ( unordered_pair @ sk__5 @ sk__6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X0 = X3 )
      | ( X1
       != ( unordered_pair @ X2 @ X3 ) ) ),
    inference(cnf,[status(esa)],[d2_tarski]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X1 @ X0 )
      | ( X1 = sk__5 )
      | ( X1 = sk__6 )
      | ( X0
       != ( unordered_pair @ sk__3 @ sk__4 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl4]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( X0 = sk__6 )
      | ( X0 = sk__5 )
      | ~ ( in @ X0 @ ( unordered_pair @ sk__3 @ sk__4 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl45,plain,
    ( ( sk__3 = sk__6 )
    | ( sk__3 = sk__5 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl43]) ).

thf(zip_derived_cl12,plain,
    sk__3 != sk__5,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    sk__3 != sk__6,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl48,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl45,zip_derived_cl12,zip_derived_cl11]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.87  % Problem  : SEU151+3 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.88  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ck2Vg2zwhc true
% 0.15/1.09  % Computer : n007.cluster.edu
% 0.15/1.09  % Model    : x86_64 x86_64
% 0.15/1.09  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/1.09  % Memory   : 8042.1875MB
% 0.15/1.09  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/1.09  % CPULimit : 300
% 0.15/1.09  % WCLimit  : 300
% 0.15/1.09  % DateTime : Wed Oct  1 16:10:39 EDT 2025
% 0.15/1.11  % CPUTime  : 
% 0.15/1.11  % Running portfolio for 300 s
% 0.15/1.11  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/1.12  % Number of cores: 8
% 0.18/1.14  % Python version: Python 3.6.8
% 0.18/1.16  % Running in FO mode
% 0.20/1.60  % Total configuration time : 435
% 0.20/1.60  % Estimated wc time : 1092
% 0.20/1.60  % Estimated cpu time (7 cpus) : 156.0
% 1.38/1.89  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.38/1.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.38/1.91  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.39/1.94  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.39/1.95  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.39/1.96  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.39/1.98  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.39/1.98  % Solved by fo/fo13.sh.
% 1.39/1.98  % done 30 iterations in 0.034s
% 1.39/1.98  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/1.98  % SZS output start Refutation
% See solution above
% 1.39/1.98  
% 1.39/1.98  
% 1.39/1.99  % Terminating...
% 1.83/2.25  % Runner terminated.
% 1.86/2.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------