TSTP Solution File: SEU234+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qmKmhW6QE7 true

% Computer : n006.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 Aug 31 19:11:28 EDT 2023

% Result   : Theorem 1.32s 0.87s
% Output   : Refutation 1.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   50 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   91 (  12 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  230 (  31   ~;  31   |;   9   &; 149   @)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   2 con; 0-2 aty)
%            Number of variables   :   26 (   0   ^;  26   !;   0   ?;  26   :)

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

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

thf(sk__1_type,type,
    sk__1: $i > $i ).

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

thf(sk__5_type,type,
    sk__5: $i ).

thf(sk__type,type,
    sk_: $i > $i ).

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

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

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

thf(d3_ordinal1,axiom,
    ! [A: $i] :
      ( ( epsilon_connected @ A )
    <=> ! [B: $i,C: $i] :
          ~ ( ( in @ B @ A )
            & ( in @ C @ A )
            & ~ ( in @ B @ C )
            & ( B != C )
            & ~ ( in @ C @ B ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i] :
      ( ( epsilon_connected @ X0 )
      | ~ ( in @ ( sk__2 @ X0 ) @ ( sk__1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d3_ordinal1]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( epsilon_connected @ X0 )
      | ~ ( in @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d3_ordinal1]) ).

thf(t31_ordinal1,conjecture,
    ! [A: $i] :
      ( ! [B: $i] :
          ( ( in @ B @ A )
         => ( ( ordinal @ B )
            & ( subset @ B @ A ) ) )
     => ( ordinal @ A ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ! [B: $i] :
            ( ( in @ B @ A )
           => ( ( ordinal @ B )
              & ( subset @ B @ A ) ) )
       => ( ordinal @ A ) ),
    inference('cnf.neg',[status(esa)],[t31_ordinal1]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( ordinal @ X0 )
      | ~ ( in @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( epsilon_connected @ X0 )
      | ( in @ ( sk__2 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_ordinal1]) ).

thf(zip_derived_cl106,plain,
    ( ( ordinal @ ( sk__2 @ sk__5 ) )
    | ( epsilon_connected @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl15]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( subset @ X0 @ sk__5 )
      | ~ ( in @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl8,plain,
    ! [X0: $i] :
      ( ( epsilon_transitive @ X0 )
      | ~ ( subset @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d2_ordinal1]) ).

thf(zip_derived_cl51,plain,
    ( ~ ( in @ ( sk_ @ sk__5 ) @ sk__5 )
    | ( epsilon_transitive @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl8]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i] :
      ( ( epsilon_transitive @ X0 )
      | ( in @ ( sk_ @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d2_ordinal1]) ).

thf(zip_derived_cl64,plain,
    ( ( epsilon_transitive @ sk__5 )
    | ( epsilon_transitive @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl9]) ).

thf(zip_derived_cl65,plain,
    epsilon_transitive @ sk__5,
    inference(simplify,[status(thm)],[zip_derived_cl64]) ).

thf(cc2_ordinal1,axiom,
    ! [A: $i] :
      ( ( ( epsilon_transitive @ A )
        & ( epsilon_connected @ A ) )
     => ( ordinal @ A ) ) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i] :
      ( ( ordinal @ X0 )
      | ~ ( epsilon_connected @ X0 )
      | ~ ( epsilon_transitive @ X0 ) ),
    inference(cnf,[status(esa)],[cc2_ordinal1]) ).

thf(zip_derived_cl67,plain,
    ( ~ ( epsilon_connected @ sk__5 )
    | ( ordinal @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl3]) ).

thf(zip_derived_cl35,plain,
    ~ ( ordinal @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl69,plain,
    ~ ( epsilon_connected @ sk__5 ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl35]) ).

thf(zip_derived_cl107,plain,
    ordinal @ ( sk__2 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl106,zip_derived_cl69]) ).

thf(zip_derived_cl33_001,plain,
    ! [X0: $i] :
      ( ( ordinal @ X0 )
      | ~ ( in @ X0 @ sk__5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i] :
      ( ( epsilon_connected @ X0 )
      | ( in @ ( sk__1 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[d3_ordinal1]) ).

thf(zip_derived_cl85,plain,
    ( ( ordinal @ ( sk__1 @ sk__5 ) )
    | ( epsilon_connected @ sk__5 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl33,zip_derived_cl11]) ).

thf(zip_derived_cl69_002,plain,
    ~ ( epsilon_connected @ sk__5 ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl35]) ).

thf(zip_derived_cl86,plain,
    ordinal @ ( sk__1 @ sk__5 ),
    inference(demod,[status(thm)],[zip_derived_cl85,zip_derived_cl69]) ).

thf(t24_ordinal1,axiom,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ~ ( ~ ( in @ A @ B )
              & ( A != B )
              & ~ ( in @ B @ A ) ) ) ) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ( in @ X1 @ X0 )
      | ( X1 = X0 )
      | ( in @ X0 @ X1 )
      | ~ ( ordinal @ X1 ) ),
    inference(cnf,[status(esa)],[t24_ordinal1]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ~ ( ordinal @ X0 )
      | ( in @ ( sk__1 @ sk__5 ) @ X0 )
      | ( X0
        = ( sk__1 @ sk__5 ) )
      | ( in @ X0 @ ( sk__1 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl86,zip_derived_cl28]) ).

thf(zip_derived_cl138,plain,
    ( ( in @ ( sk__2 @ sk__5 ) @ ( sk__1 @ sk__5 ) )
    | ( ( sk__2 @ sk__5 )
      = ( sk__1 @ sk__5 ) )
    | ( in @ ( sk__1 @ sk__5 ) @ ( sk__2 @ sk__5 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl107,zip_derived_cl89]) ).

thf(zip_derived_cl263,plain,
    ( ( epsilon_connected @ sk__5 )
    | ( ( sk__2 @ sk__5 )
      = ( sk__1 @ sk__5 ) )
    | ( in @ ( sk__2 @ sk__5 ) @ ( sk__1 @ sk__5 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl14,zip_derived_cl138]) ).

thf(zip_derived_cl69_003,plain,
    ~ ( epsilon_connected @ sk__5 ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl35]) ).

thf(zip_derived_cl264,plain,
    ( ( ( sk__2 @ sk__5 )
      = ( sk__1 @ sk__5 ) )
    | ( in @ ( sk__2 @ sk__5 ) @ ( sk__1 @ sk__5 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl263,zip_derived_cl69]) ).

thf(zip_derived_cl272,plain,
    ( ( epsilon_connected @ sk__5 )
    | ( ( sk__2 @ sk__5 )
      = ( sk__1 @ sk__5 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl264]) ).

thf(zip_derived_cl69_004,plain,
    ~ ( epsilon_connected @ sk__5 ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl35]) ).

thf(zip_derived_cl273,plain,
    ( ( sk__2 @ sk__5 )
    = ( sk__1 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl272,zip_derived_cl69]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ( epsilon_connected @ X0 )
      | ( ( sk__1 @ X0 )
       != ( sk__2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[d3_ordinal1]) ).

thf(zip_derived_cl291,plain,
    ( ( ( sk__2 @ sk__5 )
     != ( sk__2 @ sk__5 ) )
    | ( epsilon_connected @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl13]) ).

thf(zip_derived_cl69_005,plain,
    ~ ( epsilon_connected @ sk__5 ),
    inference(clc,[status(thm)],[zip_derived_cl67,zip_derived_cl35]) ).

thf(zip_derived_cl296,plain,
    ( ( sk__2 @ sk__5 )
   != ( sk__2 @ sk__5 ) ),
    inference(demod,[status(thm)],[zip_derived_cl291,zip_derived_cl69]) ).

thf(zip_derived_cl297,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl296]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SEU234+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qmKmhW6QE7 true
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 18:06:38 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.18/0.64  % Total configuration time : 435
% 0.18/0.64  % Estimated wc time : 1092
% 0.18/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.18/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.18/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.18/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.07/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.32/0.87  % Solved by fo/fo4.sh.
% 1.32/0.87  % done 132 iterations in 0.077s
% 1.32/0.87  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.32/0.87  % SZS output start Refutation
% See solution above
% 1.32/0.87  
% 1.32/0.87  
% 1.32/0.87  % Terminating...
% 1.62/300.28  Alarm clock
% 1.62/300.28  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------