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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU161+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LXwn1t2fSG 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 04:53:39 PM UTC 2025

% Result   : Theorem 0.51s 0.84s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (  11 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   54 (   4   ~;   1   |;   0   &;  46   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^;  14   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__21_type,type,
    sk__21: $i ).

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(set_union2_type,type,
    set_union2: $i > $i > $i ).

thf(t46_zfmisc_1,conjecture,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( ( set_union2 @ ( singleton @ A ) @ B )
        = B ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( in @ A @ B )
       => ( ( set_union2 @ ( singleton @ A ) @ B )
          = B ) ),
    inference('cnf.neg',[status(esa)],[t46_zfmisc_1]) ).

thf(zip_derived_cl137,plain,
    in @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(l23_zfmisc_1,axiom,
    ! [A: $i,B: $i] :
      ( ( in @ A @ B )
     => ( ( set_union2 @ ( singleton @ A ) @ B )
        = B ) ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( set_union2 @ ( singleton @ X1 ) @ X0 )
        = X0 )
      | ~ ( in @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[l23_zfmisc_1]) ).

thf(zip_derived_cl273,plain,
    ( ( set_union2 @ ( singleton @ sk__20 ) @ sk__21 )
    = sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl83]) ).

thf(commutativity_k2_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( set_union2 @ A @ B )
      = ( set_union2 @ B @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl279,plain,
    ( ( set_union2 @ sk__21 @ ( singleton @ sk__20 ) )
    = sk__21 ),
    inference('sup+',[status(thm)],[zip_derived_cl273,zip_derived_cl3]) ).

thf(zip_derived_cl138,plain,
    ( ( set_union2 @ ( singleton @ sk__20 ) @ sk__21 )
   != sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( set_union2 @ X1 @ X0 )
      = ( set_union2 @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).

thf(zip_derived_cl204,plain,
    ( ( set_union2 @ sk__21 @ ( singleton @ sk__20 ) )
   != sk__21 ),
    inference(demod,[status(thm)],[zip_derived_cl138,zip_derived_cl3]) ).

thf(zip_derived_cl283,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl279,zip_derived_cl204]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU161+2 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LXwn1t2fSG 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 16:12:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.41/0.60  % Total configuration time : 435
% 0.41/0.60  % Estimated wc time : 1092
% 0.41/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.50/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.50/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.84  % Solved by fo/fo5.sh.
% 0.51/0.84  % done 126 iterations in 0.071s
% 0.51/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.84  % SZS output start Refutation
% See solution above
% 0.51/0.84  
% 0.51/0.84  
% 0.51/0.84  % Terminating...
% 1.01/0.95  % Runner terminated.
% 1.01/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------