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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM393+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mGO2TEd7SG true

% Computer : n028.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 04:46:52 PM UTC 2025

% Result   : Theorem 0.56s 0.81s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   23 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   64 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  166 (  29   ~;  31   |;   2   &;  96   @)
%                                         (   2 <=>;   6  =>;   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     :    7 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0   ^;  28   !;   0   ?;  28   :)

% Comments : 
%------------------------------------------------------------------------------
thf(inclusion_comparable_type,type,
    inclusion_comparable: $i > $i > $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

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

thf(sk__12_type,type,
    sk__12: $i ).

thf(ordinal_subset_type,type,
    ordinal_subset: $i > $i > $o ).

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

thf(d9_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( inclusion_comparable @ A @ B )
    <=> ( ( subset @ A @ B )
        | ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i] :
      ( ( inclusion_comparable @ X0 @ X1 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d9_xboole_0]) ).

thf(t25_ordinal1,conjecture,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ( inclusion_comparable @ A @ B ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ordinal @ A )
       => ! [B: $i] :
            ( ( ordinal @ B )
           => ( inclusion_comparable @ A @ B ) ) ),
    inference('cnf.neg',[status(esa)],[t25_ordinal1]) ).

thf(zip_derived_cl53,plain,
    ~ ( inclusion_comparable @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl283,plain,
    ~ ( subset @ sk__12 @ sk__13 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl53]) ).

thf(connectedness_r1_ordinal1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( ordinal @ A )
        & ( ordinal @ B ) )
     => ( ( ordinal_subset @ A @ B )
        | ( ordinal_subset @ B @ A ) ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( ordinal_subset @ X0 @ X1 )
      | ( ordinal_subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[connectedness_r1_ordinal1]) ).

thf(redefinition_r1_ordinal1,axiom,
    ! [A: $i,B: $i] :
      ( ( ( ordinal @ A )
        & ( ordinal @ B ) )
     => ( ( ordinal_subset @ A @ B )
      <=> ( subset @ A @ B ) ) ) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( subset @ X0 @ X1 )
      | ~ ( ordinal_subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).

thf(zip_derived_cl296,plain,
    ! [X0: $i,X1: $i] :
      ( ( ordinal_subset @ X0 @ X1 )
      | ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( subset @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl45]) ).

thf(zip_derived_cl299,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X1 @ X0 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( ordinal_subset @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl296]) ).

thf(zip_derived_cl45_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( subset @ X0 @ X1 )
      | ~ ( ordinal_subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).

thf(zip_derived_cl351,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( subset @ X0 @ X1 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( subset @ X1 @ X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl299,zip_derived_cl45]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X1 @ X0 )
      | ( subset @ X0 @ X1 )
      | ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( inclusion_comparable @ X0 @ X1 )
      | ~ ( subset @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d9_xboole_0]) ).

thf(zip_derived_cl53_002,plain,
    ~ ( inclusion_comparable @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl285,plain,
    ~ ( subset @ sk__13 @ sk__12 ),
    inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl53]) ).

thf(zip_derived_cl464,plain,
    ( ~ ( ordinal @ sk__13 )
    | ~ ( ordinal @ sk__12 )
    | ( subset @ sk__12 @ sk__13 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl352,zip_derived_cl285]) ).

thf(zip_derived_cl54,plain,
    ordinal @ sk__13,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl52,plain,
    ordinal @ sk__12,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl473,plain,
    subset @ sk__12 @ sk__13,
    inference(demod,[status(thm)],[zip_derived_cl464,zip_derived_cl54,zip_derived_cl52]) ).

thf(zip_derived_cl477,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl473]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM393+1 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.mGO2TEd7SG true
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:16:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.52/0.63  % Total configuration time : 435
% 0.52/0.63  % Estimated wc time : 1092
% 0.52/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.56/0.81  % Solved by fo/fo6_bce.sh.
% 0.56/0.81  % BCE start: 63
% 0.56/0.81  % BCE eliminated: 6
% 0.56/0.81  % PE start: 57
% 0.56/0.81  logic: eq
% 0.56/0.81  % PE eliminated: 4
% 0.56/0.81  % done 128 iterations in 0.085s
% 0.56/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.81  % SZS output start Refutation
% See solution above
% 0.56/0.81  
% 0.56/0.81  
% 0.56/0.81  % Terminating...
% 1.57/0.85  % Runner terminated.
% 1.57/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------