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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU236+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.84BRpybTvR true

% Computer : n023.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 04:53:57 PM UTC 2025

% Result   : Theorem 4.22s 1.63s
% Output   : Refutation 4.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   57 (  21 unt;   0 typ;   0 def)
%            Number of atoms       :  122 (   8 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  345 (  38   ~;  42   |;   6   &; 242   @)
%                                         (   7 <=>;  10  =>;   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     :   15 (  13 usr;   3 con; 0-2 aty)
%            Number of variables   :   55 (   0   ^;  55   !;   0   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
    epsilon_transitive: $i > $o ).

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

thf(succ_type,type,
    succ: $i > $i ).

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

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

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

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

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

thf(epsilon_connected_type,type,
    epsilon_connected: $i > $o ).

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

thf(empty_type,type,
    empty: $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(sk__18_type,type,
    sk__18: $i ).

thf(fc3_ordinal1,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( ~ ( empty @ ( succ @ A ) )
        & ( epsilon_transitive @ ( succ @ A ) )
        & ( epsilon_connected @ ( succ @ A ) )
        & ( ordinal @ ( succ @ A ) ) ) ) ).

thf(zip_derived_cl44,plain,
    ! [X0: $i] :
      ( ( ordinal @ ( succ @ X0 ) )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[fc3_ordinal1]) ).

thf(t10_ordinal1,axiom,
    ! [A: $i] : ( in @ A @ ( succ @ A ) ) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[t10_ordinal1]) ).

thf(zip_derived_cl44_001,plain,
    ! [X0: $i] :
      ( ( ordinal @ ( succ @ X0 ) )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[fc3_ordinal1]) ).

thf(t33_ordinal1,conjecture,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ( ( in @ A @ B )
          <=> ( ordinal_subset @ ( succ @ A ) @ B ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ordinal @ A )
       => ! [B: $i] :
            ( ( ordinal @ B )
           => ( ( in @ A @ B )
            <=> ( ordinal_subset @ ( succ @ A ) @ B ) ) ) ),
    inference('cnf.neg',[status(esa)],[t33_ordinal1]) ).

thf(zip_derived_cl94,plain,
    ( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
    | ( in @ sk__17 @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl85,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_cl480,plain,
    ( ( in @ sk__17 @ sk__18 )
    | ( subset @ ( succ @ sk__17 ) @ sk__18 )
    | ~ ( ordinal @ sk__18 )
    | ~ ( ordinal @ ( succ @ sk__17 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl94,zip_derived_cl85]) ).

thf(zip_derived_cl96,plain,
    ordinal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl484,plain,
    ( ( in @ sk__17 @ sk__18 )
    | ( subset @ ( succ @ sk__17 ) @ sk__18 )
    | ~ ( ordinal @ ( succ @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl480,zip_derived_cl96]) ).

thf(zip_derived_cl489,plain,
    ( ~ ( ordinal @ sk__17 )
    | ( subset @ ( succ @ sk__17 ) @ sk__18 )
    | ( in @ sk__17 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl484]) ).

thf(zip_derived_cl93,plain,
    ordinal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl494,plain,
    ( ( subset @ ( succ @ sk__17 ) @ sk__18 )
    | ( in @ sk__17 @ sk__18 ) ),
    inference(demod,[status(thm)],[zip_derived_cl489,zip_derived_cl93]) ).

thf(d3_tarski,axiom,
    ! [A: $i,B: $i] :
      ( ( subset @ A @ B )
    <=> ! [C: $i] :
          ( ( in @ C @ A )
         => ( in @ C @ B ) ) ) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( in @ X0 @ X2 )
      | ~ ( subset @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl534,plain,
    ! [X0: $i] :
      ( ( in @ sk__17 @ sk__18 )
      | ( in @ X0 @ sk__18 )
      | ~ ( in @ X0 @ ( succ @ sk__17 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl494,zip_derived_cl22]) ).

thf(zip_derived_cl545,plain,
    ( ( in @ sk__17 @ sk__18 )
    | ( in @ sk__17 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl534]) ).

thf(zip_derived_cl552,plain,
    in @ sk__17 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl545]) ).

thf(zip_derived_cl24,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

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

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( X0 = X2 )
      | ( X1
       != ( singleton @ X2 ) ) ),
    inference(cnf,[status(esa)],[d1_tarski]) ).

thf(zip_derived_cl309,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl604,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ( ( sk__2 @ X1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl309]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ X0 @ X1 )
      | ~ ( in @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
    inference(cnf,[status(esa)],[d3_tarski]) ).

thf(zip_derived_cl2589,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl604,zip_derived_cl23]) ).

thf(zip_derived_cl2595,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2589]) ).

thf(zip_derived_cl2678,plain,
    subset @ ( singleton @ sk__17 ) @ sk__18,
    inference('sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl2595]) ).

thf(zip_derived_cl552_002,plain,
    in @ sk__17 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl545]) ).

thf(d2_ordinal1,axiom,
    ! [A: $i] :
      ( ( epsilon_transitive @ A )
    <=> ! [B: $i] :
          ( ( in @ B @ A )
         => ( subset @ B @ A ) ) ) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ X0 @ X1 )
      | ~ ( epsilon_transitive @ X1 ) ),
    inference(cnf,[status(esa)],[d2_ordinal1]) ).

thf(zip_derived_cl558,plain,
    ( ~ ( epsilon_transitive @ sk__18 )
    | ( subset @ sk__17 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl552,zip_derived_cl19]) ).

thf(cc1_ordinal1,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ( ( epsilon_transitive @ A )
        & ( epsilon_connected @ A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( epsilon_transitive @ X0 )
      | ~ ( ordinal @ X0 ) ),
    inference(cnf,[status(esa)],[cc1_ordinal1]) ).

thf(zip_derived_cl96_003,plain,
    ordinal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl116,plain,
    epsilon_transitive @ sk__18,
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl96]) ).

thf(zip_derived_cl565,plain,
    subset @ sk__17 @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl558,zip_derived_cl116]) ).

thf(t8_xboole_1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( subset @ A @ B )
        & ( subset @ C @ B ) )
     => ( subset @ ( set_union2 @ A @ C ) @ B ) ) ).

thf(zip_derived_cl104,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( subset @ X0 @ X1 )
      | ~ ( subset @ X2 @ X1 )
      | ( subset @ ( set_union2 @ X0 @ X2 ) @ X1 ) ),
    inference(cnf,[status(esa)],[t8_xboole_1]) ).

thf(zip_derived_cl781,plain,
    ! [X0: $i] :
      ( ( subset @ ( set_union2 @ sk__17 @ X0 ) @ sk__18 )
      | ~ ( subset @ X0 @ sk__18 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl565,zip_derived_cl104]) ).

thf(zip_derived_cl2695,plain,
    subset @ ( set_union2 @ sk__17 @ ( singleton @ sk__17 ) ) @ sk__18,
    inference('sup-',[status(thm)],[zip_derived_cl2678,zip_derived_cl781]) ).

thf(d1_ordinal1,axiom,
    ! [A: $i] :
      ( ( succ @ A )
      = ( set_union2 @ A @ ( singleton @ A ) ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( succ @ X0 )
      = ( set_union2 @ X0 @ ( singleton @ X0 ) ) ),
    inference(cnf,[status(esa)],[d1_ordinal1]) ).

thf(zip_derived_cl2705,plain,
    subset @ ( succ @ sk__17 ) @ sk__18,
    inference(demod,[status(thm)],[zip_derived_cl2695,zip_derived_cl14]) ).

thf(zip_derived_cl86,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( ordinal_subset @ X0 @ X1 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).

thf(zip_derived_cl2706,plain,
    ( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
    | ~ ( ordinal @ sk__18 )
    | ~ ( ordinal @ ( succ @ sk__17 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2705,zip_derived_cl86]) ).

thf(zip_derived_cl96_004,plain,
    ordinal @ sk__18,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2719,plain,
    ( ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
    | ~ ( ordinal @ ( succ @ sk__17 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl2706,zip_derived_cl96]) ).

thf(zip_derived_cl95,plain,
    ( ~ ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 )
    | ~ ( in @ sk__17 @ sk__18 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl552_005,plain,
    in @ sk__17 @ sk__18,
    inference(simplify,[status(thm)],[zip_derived_cl545]) ).

thf(zip_derived_cl555,plain,
    ~ ( ordinal_subset @ ( succ @ sk__17 ) @ sk__18 ),
    inference(demod,[status(thm)],[zip_derived_cl95,zip_derived_cl552]) ).

thf(zip_derived_cl2720,plain,
    ~ ( ordinal @ ( succ @ sk__17 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2719,zip_derived_cl555]) ).

thf(zip_derived_cl2722,plain,
    ~ ( ordinal @ sk__17 ),
    inference('sup-',[status(thm)],[zip_derived_cl44,zip_derived_cl2720]) ).

thf(zip_derived_cl93_006,plain,
    ordinal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2727,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl2722,zip_derived_cl93]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU236+3 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.84BRpybTvR true
% 0.13/0.34  % Computer : n023.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 16:02:08 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
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.51/0.63  % Total configuration time : 435
% 0.51/0.63  % Estimated wc time : 1092
% 0.51/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.88/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.88/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.88/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.88/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.90/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.87  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.91/0.89  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 4.22/1.63  % Solved by fo/fo5.sh.
% 4.22/1.63  % done 596 iterations in 0.620s
% 4.22/1.63  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.22/1.63  % SZS output start Refutation
% See solution above
% 4.22/1.63  
% 4.22/1.63  
% 4.22/1.63  % Terminating...
% 4.76/1.79  % Runner terminated.
% 4.76/1.82  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------