TSTP Solution File: NUM414+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lsHaYkj5Z3 true

% Computer : n019.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 12:41:17 EDT 2023

% Result   : Theorem 0.20s 0.85s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   35 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   73 (  12 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  168 (  31   ~;  29   |;   7   &;  93   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__15_type,type,
    sk__15: $i ).

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

thf(proper_subset_type,type,
    proper_subset: $i > $i > $o ).

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

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

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

thf(t50_ordinal1,conjecture,
    ! [A: $i] :
      ( ( ordinal @ A )
     => ! [B: $i] :
          ( ( ordinal @ B )
         => ~ ( ~ ( proper_subset @ A @ B )
              & ( A != B )
              & ~ ( proper_subset @ B @ A ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ( ordinal @ A )
       => ! [B: $i] :
            ( ( ordinal @ B )
           => ~ ( ~ ( proper_subset @ A @ B )
                & ( A != B )
                & ~ ( proper_subset @ B @ A ) ) ) ),
    inference('cnf.neg',[status(esa)],[t50_ordinal1]) ).

thf(zip_derived_cl84,plain,
    ~ ( proper_subset @ sk__15 @ sk__16 ),
    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_cl72,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal @ X0 )
      | ~ ( ordinal @ X1 )
      | ( subset @ X0 @ X1 )
      | ~ ( ordinal_subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[redefinition_r1_ordinal1]) ).

thf(d8_xboole_0,axiom,
    ! [A: $i,B: $i] :
      ( ( proper_subset @ A @ B )
    <=> ( ( subset @ A @ B )
        & ( A != B ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i] :
      ( ( proper_subset @ X0 @ X1 )
      | ( X0 = X1 )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d8_xboole_0]) ).

thf(zip_derived_cl352,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal_subset @ X0 @ X1 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( X0 = X1 )
      | ( proper_subset @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).

thf(zip_derived_cl352_001,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( ordinal_subset @ X0 @ X1 )
      | ~ ( ordinal @ X1 )
      | ~ ( ordinal @ X0 )
      | ( X0 = X1 )
      | ( proper_subset @ X0 @ X1 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl72,zip_derived_cl16]) ).

thf(zip_derived_cl85,plain,
    ordinal @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81,plain,
    ordinal @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zip_derived_cl13,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(zip_derived_cl481,plain,
    ! [X0: $i] :
      ( ( ordinal_subset @ X0 @ sk__15 )
      | ( ordinal_subset @ sk__15 @ X0 )
      | ~ ( ordinal @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl13]) ).

thf(zip_derived_cl555,plain,
    ( ( ordinal_subset @ sk__15 @ sk__16 )
    | ( ordinal_subset @ sk__16 @ sk__15 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl85,zip_derived_cl481]) ).

thf(zip_derived_cl622,plain,
    ( ( proper_subset @ sk__16 @ sk__15 )
    | ( sk__16 = sk__15 )
    | ~ ( ordinal @ sk__16 )
    | ~ ( ordinal @ sk__15 )
    | ( ordinal_subset @ sk__15 @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl555]) ).

thf(zip_derived_cl82,plain,
    ~ ( proper_subset @ sk__16 @ sk__15 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_002,plain,
    ordinal @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl81_003,plain,
    ordinal @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl623,plain,
    ( ( sk__16 = sk__15 )
    | ( ordinal_subset @ sk__15 @ sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl622,zip_derived_cl82,zip_derived_cl85,zip_derived_cl81]) ).

thf(zip_derived_cl83,plain,
    sk__15 != sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl624,plain,
    ordinal_subset @ sk__15 @ sk__16,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl623,zip_derived_cl83]) ).

thf(zip_derived_cl628,plain,
    ( ( proper_subset @ sk__15 @ sk__16 )
    | ( sk__15 = sk__16 )
    | ~ ( ordinal @ sk__15 )
    | ~ ( ordinal @ sk__16 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl352,zip_derived_cl624]) ).

thf(zip_derived_cl81_004,plain,
    ordinal @ sk__15,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl85_005,plain,
    ordinal @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl629,plain,
    ( ( proper_subset @ sk__15 @ sk__16 )
    | ( sk__15 = sk__16 ) ),
    inference(demod,[status(thm)],[zip_derived_cl628,zip_derived_cl81,zip_derived_cl85]) ).

thf(zip_derived_cl83_006,plain,
    sk__15 != sk__16,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl630,plain,
    proper_subset @ sk__15 @ sk__16,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl629,zip_derived_cl83]) ).

thf(zip_derived_cl633,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl630]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM414+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lsHaYkj5Z3 true
% 0.12/0.34  % Computer : n019.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 : Fri Aug 25 10:05:58 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % 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
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.85  % Solved by fo/fo3_bce.sh.
% 0.20/0.85  % BCE start: 90
% 0.20/0.85  % BCE eliminated: 12
% 0.20/0.85  % PE start: 78
% 0.20/0.85  logic: eq
% 0.20/0.85  % PE eliminated: -13
% 0.20/0.85  % done 143 iterations in 0.043s
% 0.20/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.85  % SZS output start Refutation
% See solution above
% 0.20/0.85  
% 0.20/0.85  
% 0.20/0.85  % Terminating...
% 1.99/0.96  % Runner terminated.
% 1.99/0.97  % Zipperpin 1.5 exiting
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