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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM405+1 : 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.Z3Ycj8zKRG true

% Computer : n009.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 04:46:53 PM UTC 2025

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  105 (  17   ~;  10   |;   1   &;  73   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__14_type,type,
    sk__14: $i > $i ).

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

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

thf(ordinal_type,type,
    ordinal: $i > $o ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(t38_ordinal1,conjecture,
    ! [A: $i] :
      ~ ! [B: $i] :
          ( ( ordinal @ B )
         => ( in @ B @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ~ ! [B: $i] :
            ( ( ordinal @ B )
           => ( in @ B @ A ) ),
    inference('cnf.neg',[status(esa)],[t38_ordinal1]) ).

thf(zip_derived_cl70,plain,
    ! [X0: $i] :
      ( ( in @ X0 @ sk__16 )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t37_ordinal1,axiom,
    ! [A: $i] :
      ~ ! [B: $i] :
          ( ( in @ B @ A )
        <=> ( ordinal @ B ) ) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i] :
      ( ~ ( ordinal @ ( sk__15 @ X0 ) )
      | ~ ( in @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t37_ordinal1]) ).

thf(s1_xboole_0__e2_43__ordinal1,axiom,
    ! [A: $i] :
    ? [B: $i] :
    ! [C: $i] :
      ( ( in @ C @ B )
    <=> ( ( in @ C @ A )
        & ( ordinal @ C ) ) ) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ X0 @ ( sk__14 @ X1 ) )
      | ~ ( ordinal @ X0 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).

thf(zip_derived_cl578,plain,
    ! [X0: $i] :
      ( ~ ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) )
      | ~ ( in @ ( sk__15 @ ( sk__14 @ X0 ) ) @ X0 )
      | ~ ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl69,zip_derived_cl65]) ).

thf(zip_derived_cl579,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__15 @ ( sk__14 @ X0 ) ) @ X0 )
      | ~ ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl578]) ).

thf(zip_derived_cl64,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordinal @ X0 )
      | ~ ( in @ X0 @ ( sk__14 @ X1 ) ) ),
    inference(cnf,[status(esa)],[s1_xboole_0__e2_43__ordinal1]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( ordinal @ ( sk__15 @ X0 ) )
      | ( in @ ( sk__15 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t37_ordinal1]) ).

thf(zip_derived_cl608,plain,
    ! [X0: $i] :
      ( ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) )
      | ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl64,zip_derived_cl68]) ).

thf(zip_derived_cl610,plain,
    ! [X0: $i] : ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl608]) ).

thf(zip_derived_cl650,plain,
    ! [X0: $i] :
      ~ ( in @ ( sk__15 @ ( sk__14 @ X0 ) ) @ X0 ),
    inference(demod,[status(thm)],[zip_derived_cl579,zip_derived_cl610]) ).

thf(zip_derived_cl654,plain,
    ~ ( ordinal @ ( sk__15 @ ( sk__14 @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl650]) ).

thf(zip_derived_cl610_001,plain,
    ! [X0: $i] : ( ordinal @ ( sk__15 @ ( sk__14 @ X0 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl608]) ).

thf(zip_derived_cl656,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl654,zip_derived_cl610]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM405+1 : TPTP v9.2.0. Released v3.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Z3Ycj8zKRG true
% 0.13/0.34  % Computer : n009.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 16:25:38 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.54/0.66  % Total configuration time : 435
% 0.54/0.66  % Estimated wc time : 1092
% 0.54/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75  % Solved by fo/fo3_bce.sh.
% 0.54/0.75  % BCE start: 74
% 0.54/0.75  % BCE eliminated: 9
% 0.54/0.75  % PE start: 65
% 0.54/0.75  logic: eq
% 0.54/0.75  % PE eliminated: -10
% 0.54/0.75  % done 126 iterations in 0.029s
% 0.54/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/0.75  % SZS output start Refutation
% See solution above
% 0.54/0.75  
% 0.54/0.75  
% 0.54/0.75  % Terminating...
% 0.56/0.84  % Runner terminated.
% 1.54/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------