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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU149+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S1xFjJkGNI true

% Computer : n016.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 04:53:35 PM UTC 2025

% Result   : Theorem 0.59s 0.87s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   40 (  27 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   92 (  12   ~;  11   |;   0   &;  63   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 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   :   36 (   0   ^;  36   !;   0   ?;  36   :)

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

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

thf(sk__13_type,type,
    sk__13: $i ).

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

thf(sk__15_type,type,
    sk__15: $i ).

thf(sk__14_type,type,
    sk__14: $i ).

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

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i,C: $i] :
        ( ( ( singleton @ A )
          = ( unordered_pair @ B @ C ) )
       => ( A = B ) ),
    inference('cnf.neg',[status(esa)],[t8_zfmisc_1]) ).

thf(zip_derived_cl115,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl115_001,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__14 @ sk__15 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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_cl18,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_cl561,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( unordered_pair @ X2 @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl581,plain,
    ! [X0: $i] :
      ( ( X0
       != ( singleton @ sk__13 ) )
      | ( in @ sk__15 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl561]) ).

thf(zip_derived_cl586,plain,
    in @ sk__15 @ ( singleton @ sk__13 ),
    inference(eq_res,[status(thm)],[zip_derived_cl581]) ).

thf(d1_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( B
        = ( singleton @ A ) )
    <=> ! [C: $i] :
          ( ( in @ C @ B )
        <=> ( C = A ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl485,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl590,plain,
    sk__15 = sk__13,
    inference('s_sup-',[status(thm)],[zip_derived_cl586,zip_derived_cl485]) ).

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

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( unordered_pair @ X1 @ X0 )
      = ( unordered_pair @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).

thf(zip_derived_cl591,plain,
    ( ( singleton @ sk__13 )
    = ( unordered_pair @ sk__13 @ sk__14 ) ),
    inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl590,zip_derived_cl2]) ).

thf(zip_derived_cl561_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( X0
       != ( unordered_pair @ X2 @ X1 ) )
      | ( in @ X1 @ X0 ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl610,plain,
    ! [X0: $i] :
      ( ( X0
       != ( singleton @ sk__13 ) )
      | ( in @ sk__14 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl591,zip_derived_cl561]) ).

thf(zip_derived_cl617,plain,
    in @ sk__14 @ ( singleton @ sk__13 ),
    inference(eq_res,[status(thm)],[zip_derived_cl610]) ).

thf(zip_derived_cl485_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl621,plain,
    sk__14 = sk__13,
    inference('s_sup-',[status(thm)],[zip_derived_cl617,zip_derived_cl485]) ).

thf(zip_derived_cl116,plain,
    sk__13 != sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl622,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl621,zip_derived_cl116]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU149+2 : TPTP v9.2.0. Released v3.3.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.S1xFjJkGNI true
% 0.15/0.36  % Computer : n016.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 16:13:23 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.22/0.36  % Python version: Python 3.6.8
% 0.22/0.36  % Running in FO mode
% 0.58/0.67  % Total configuration time : 435
% 0.58/0.67  % Estimated wc time : 1092
% 0.58/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.79  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.87  % Solved by fo/fo6_bce.sh.
% 0.59/0.87  % BCE start: 117
% 0.59/0.87  % BCE eliminated: 2
% 0.59/0.87  % PE start: 115
% 0.59/0.87  logic: eq
% 0.59/0.87  % PE eliminated: 0
% 0.59/0.87  % done 105 iterations in 0.084s
% 0.59/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.87  % SZS output start Refutation
% See solution above
% 0.59/0.87  
% 0.59/0.87  
% 0.59/0.87  % Terminating...
% 0.85/0.98  % Runner terminated.
% 0.85/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------