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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU150+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.UP3d38z6FO true

% Computer : n022.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 0.53s 0.83s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   28 (  27 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   62 (   9   ~;   6   |;   0   &;  44   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

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

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

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

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

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

thf(t9_zfmisc_1,conjecture,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( singleton @ A )
        = ( unordered_pair @ B @ C ) )
     => ( B = C ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( singleton @ A )
          = ( unordered_pair @ B @ C ) )
       => ( B = C ) ),
    inference('cnf.neg',[status(esa)],[t9_zfmisc_1]) ).

thf(zip_derived_cl4,plain,
    ( ( singleton @ sk__2 )
    = ( unordered_pair @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(t8_zfmisc_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( singleton @ A )
        = ( unordered_pair @ B @ C ) )
     => ( A = B ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( singleton @ X1 )
       != ( unordered_pair @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X2 = X0 )
      | ( ( singleton @ X2 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl3]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__2 = X0 )
      | ( ( unordered_pair @ sk__3 @ sk__4 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl13]) ).

thf(zip_derived_cl4_001,plain,
    ( ( singleton @ sk__2 )
    = ( unordered_pair @ sk__3 @ sk__4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X1 = X0 )
      | ( ( singleton @ X1 )
       != ( unordered_pair @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__2 = X1 )
      | ( ( unordered_pair @ sk__3 @ sk__4 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl3]) ).

thf(zip_derived_cl21,plain,
    sk__2 = sk__3,
    inference(eq_res,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ( sk__2 = X0 )
      | ( ( unordered_pair @ sk__2 @ sk__4 )
       != ( unordered_pair @ X1 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18,zip_derived_cl21]) ).

thf(zip_derived_cl36,plain,
    sk__2 = sk__4,
    inference(eq_res,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl5,plain,
    sk__3 != sk__4,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21_003,plain,
    sk__2 = sk__3,
    inference(eq_res,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    sk__2 != sk__4,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl21]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl36,zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem  : SEU150+3 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UP3d38z6FO true
% 0.14/0.38  % Computer : n022.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit : 300
% 0.14/0.38  % WCLimit  : 300
% 0.14/0.38  % DateTime : Wed Oct  1 16:10:38 EDT 2025
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  % Running portfolio for 300 s
% 0.14/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  % Number of cores: 8
% 0.22/0.38  % Python version: Python 3.6.8
% 0.22/0.39  % Running in FO mode
% 0.52/0.70  % Total configuration time : 435
% 0.52/0.70  % Estimated wc time : 1092
% 0.52/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.83  % Solved by fo/fo6_bce.sh.
% 0.53/0.83  % BCE start: 6
% 0.53/0.83  % BCE eliminated: 0
% 0.53/0.83  % PE start: 6
% 0.53/0.83  logic: eq
% 0.53/0.83  % PE eliminated: 1
% 0.53/0.83  % done 15 iterations in 0.010s
% 0.53/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.83  % SZS output start Refutation
% See solution above
% 0.53/0.83  
% 0.53/0.83  
% 0.53/0.83  % Terminating...
% 0.54/0.88  % Runner terminated.
% 0.54/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------