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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU236+1 : 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.XQ2NtQYyUu true

% Computer : n007.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 6.48s 1.54s
% Output   : Refutation 6.48s
% 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(sk__16_type,type,
    sk__16: $i ).

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(sk__17_type,type,
    sk__17: $i ).

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

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

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_cl50,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_cl92,plain,
    ! [X0: $i] : ( in @ X0 @ ( succ @ X0 ) ),
    inference(cnf,[status(esa)],[t10_ordinal1]) ).

thf(zip_derived_cl50_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_cl97,plain,
    ( ( ordinal_subset @ ( succ @ sk__16 ) @ sk__17 )
    | ( in @ sk__16 @ sk__17 ) ),
    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_cl88,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_cl473,plain,
    ( ( in @ sk__16 @ sk__17 )
    | ( subset @ ( succ @ sk__16 ) @ sk__17 )
    | ~ ( ordinal @ sk__17 )
    | ~ ( ordinal @ ( succ @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl88]) ).

thf(zip_derived_cl99,plain,
    ordinal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl477,plain,
    ( ( in @ sk__16 @ sk__17 )
    | ( subset @ ( succ @ sk__16 ) @ sk__17 )
    | ~ ( ordinal @ ( succ @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl473,zip_derived_cl99]) ).

thf(zip_derived_cl517,plain,
    ( ~ ( ordinal @ sk__16 )
    | ( subset @ ( succ @ sk__16 ) @ sk__17 )
    | ( in @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl477]) ).

thf(zip_derived_cl96,plain,
    ordinal @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl522,plain,
    ( ( subset @ ( succ @ sk__16 ) @ sk__17 )
    | ( in @ sk__16 @ sk__17 ) ),
    inference(demod,[status(thm)],[zip_derived_cl517,zip_derived_cl96]) ).

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_cl527,plain,
    ! [X0: $i] :
      ( ( in @ sk__16 @ sk__17 )
      | ( in @ X0 @ sk__17 )
      | ~ ( in @ X0 @ ( succ @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl522,zip_derived_cl22]) ).

thf(zip_derived_cl538,plain,
    ( ( in @ sk__16 @ sk__17 )
    | ( in @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl527]) ).

thf(zip_derived_cl544,plain,
    in @ sk__16 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl538]) ).

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_cl261,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = X1 )
      | ~ ( in @ X0 @ ( singleton @ X1 ) ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl629,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ( ( sk__2 @ X1 @ ( singleton @ X0 ) )
        = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl261]) ).

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_cl2436,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ X0 @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 )
      | ( subset @ ( singleton @ X0 ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl629,zip_derived_cl23]) ).

thf(zip_derived_cl2442,plain,
    ! [X0: $i,X1: $i] :
      ( ( subset @ ( singleton @ X0 ) @ X1 )
      | ~ ( in @ X0 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2436]) ).

thf(zip_derived_cl2476,plain,
    subset @ ( singleton @ sk__16 ) @ sk__17,
    inference('sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl2442]) ).

thf(zip_derived_cl544_002,plain,
    in @ sk__16 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl538]) ).

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_cl550,plain,
    ( ~ ( epsilon_transitive @ sk__17 )
    | ( subset @ sk__16 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl544,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_cl99_003,plain,
    ordinal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl127,plain,
    epsilon_transitive @ sk__17,
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl99]) ).

thf(zip_derived_cl557,plain,
    subset @ sk__16 @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl550,zip_derived_cl127]) ).

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_cl107,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_cl798,plain,
    ! [X0: $i] :
      ( ( subset @ ( set_union2 @ sk__16 @ X0 ) @ sk__17 )
      | ~ ( subset @ X0 @ sk__17 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl557,zip_derived_cl107]) ).

thf(zip_derived_cl3570,plain,
    subset @ ( set_union2 @ sk__16 @ ( singleton @ sk__16 ) ) @ sk__17,
    inference('sup-',[status(thm)],[zip_derived_cl2476,zip_derived_cl798]) ).

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_cl3579,plain,
    subset @ ( succ @ sk__16 ) @ sk__17,
    inference(demod,[status(thm)],[zip_derived_cl3570,zip_derived_cl14]) ).

thf(zip_derived_cl89,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_cl3584,plain,
    ( ( ordinal_subset @ ( succ @ sk__16 ) @ sk__17 )
    | ~ ( ordinal @ sk__17 )
    | ~ ( ordinal @ ( succ @ sk__16 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3579,zip_derived_cl89]) ).

thf(zip_derived_cl99_004,plain,
    ordinal @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3598,plain,
    ( ( ordinal_subset @ ( succ @ sk__16 ) @ sk__17 )
    | ~ ( ordinal @ ( succ @ sk__16 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl3584,zip_derived_cl99]) ).

thf(zip_derived_cl98,plain,
    ( ~ ( ordinal_subset @ ( succ @ sk__16 ) @ sk__17 )
    | ~ ( in @ sk__16 @ sk__17 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl544_005,plain,
    in @ sk__16 @ sk__17,
    inference(simplify,[status(thm)],[zip_derived_cl538]) ).

thf(zip_derived_cl547,plain,
    ~ ( ordinal_subset @ ( succ @ sk__16 ) @ sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl98,zip_derived_cl544]) ).

thf(zip_derived_cl3599,plain,
    ~ ( ordinal @ ( succ @ sk__16 ) ),
    inference(clc,[status(thm)],[zip_derived_cl3598,zip_derived_cl547]) ).

thf(zip_derived_cl3601,plain,
    ~ ( ordinal @ sk__16 ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl3599]) ).

thf(zip_derived_cl96_006,plain,
    ordinal @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3606,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3601,zip_derived_cl96]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU236+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.XQ2NtQYyUu true
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 16:04:38 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.58/0.66  % Total configuration time : 435
% 0.58/0.66  % Estimated wc time : 1092
% 0.58/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.81  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 6.48/1.54  % Solved by fo/fo5.sh.
% 6.48/1.54  % done 705 iterations in 0.653s
% 6.48/1.54  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 6.48/1.54  % SZS output start Refutation
% See solution above
% 6.48/1.54  
% 6.48/1.54  
% 6.48/1.54  % Terminating...
% 6.98/1.68  % Runner terminated.
% 6.98/1.69  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------