TSTP Solution File: SEU430+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU430+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lQ6lRWHkjV 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 19:12:56 EDT 2023

% Result   : Theorem 91.18s 13.63s
% Output   : Refutation 91.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   43 (   9 unt;  10 typ;   0 def)
%            Number of atoms       :   72 (  49 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  193 (  33   ~;  27   |;   5   &; 121   @)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-2 aty)
%            Number of variables   :   22 (   0   ^;  21   !;   1   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(k1_xboole_0_type,type,
    k1_xboole_0: $i ).

thf(sk__166_type,type,
    sk__166: $i > $i ).

thf(m1_subset_1_type,type,
    m1_subset_1: $i > $i > $o ).

thf(r2_hidden_type,type,
    r2_hidden: $i > $i > $o ).

thf(k5_setfam_1_type,type,
    k5_setfam_1: $i > $i > $i ).

thf(k3_tarski_type,type,
    k3_tarski: $i > $i ).

thf(sk__195_type,type,
    sk__195: $i ).

thf(sk__193_type,type,
    sk__193: $i ).

thf(sk__194_type,type,
    sk__194: $i ).

thf(k1_zfmisc_1_type,type,
    k1_zfmisc_1: $i > $i ).

thf(t91_orders_1,axiom,
    ! [A: $i] :
      ( ~ ( ( ( k3_tarski @ A )
           != k1_xboole_0 )
          & ! [B: $i] :
              ~ ( ( B != k1_xboole_0 )
                & ( r2_hidden @ B @ A ) ) )
      & ~ ( ? [B: $i] :
              ( ( r2_hidden @ B @ A )
              & ( B != k1_xboole_0 ) )
          & ( ( k3_tarski @ A )
            = k1_xboole_0 ) ) ) ).

thf(zip_derived_cl1071,plain,
    ! [X0: $i] :
      ( ( ( k3_tarski @ X0 )
        = k1_xboole_0 )
      | ( r2_hidden @ ( sk__166 @ X0 ) @ X0 ) ),
    inference(cnf,[status(esa)],[t91_orders_1]) ).

thf(t30_relset_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
     => ( ( ( k5_setfam_1 @ A @ B )
          = k1_xboole_0 )
      <=> ! [C: $i] :
            ( ( r2_hidden @ C @ B )
           => ( C = k1_xboole_0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
       => ( ( ( k5_setfam_1 @ A @ B )
            = k1_xboole_0 )
        <=> ! [C: $i] :
              ( ( r2_hidden @ C @ B )
             => ( C = k1_xboole_0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[t30_relset_2]) ).

thf(zip_derived_cl1286,plain,
    ! [X0: $i] :
      ( ~ ( r2_hidden @ X0 @ sk__194 )
      | ( X0 = k1_xboole_0 )
      | ( ( k5_setfam_1 @ sk__193 @ sk__194 )
        = k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl72754,plain,
    ( ( ( k3_tarski @ sk__194 )
      = k1_xboole_0 )
    | ( ( k5_setfam_1 @ sk__193 @ sk__194 )
      = k1_xboole_0 )
    | ( ( sk__166 @ sk__194 )
      = k1_xboole_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1071,zip_derived_cl1286]) ).

thf(zip_derived_cl1069,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 = k1_xboole_0 )
      | ~ ( r2_hidden @ X0 @ X1 )
      | ( ( k3_tarski @ X1 )
       != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[t91_orders_1]) ).

thf(redefinition_k5_setfam_1,axiom,
    ! [A: $i,B: $i] :
      ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) )
     => ( ( k5_setfam_1 @ A @ B )
        = ( k3_tarski @ B ) ) ) ).

thf(zip_derived_cl463,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_setfam_1 @ X1 @ X0 )
        = ( k3_tarski @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).

thf(zip_derived_cl1285,plain,
    ( ( r2_hidden @ sk__195 @ sk__194 )
    | ( ( k5_setfam_1 @ sk__193 @ sk__194 )
     != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29466,plain,
    ( ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 )
    | ~ ( m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ) )
    | ( r2_hidden @ sk__195 @ sk__194 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl1285]) ).

thf(zip_derived_cl1283,plain,
    m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29470,plain,
    ( ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 )
    | ( r2_hidden @ sk__195 @ sk__194 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29466,zip_derived_cl1283]) ).

thf(zip_derived_cl29516,plain,
    ( ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 )
    | ( sk__195 = k1_xboole_0 )
    | ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1069,zip_derived_cl29470]) ).

thf(zip_derived_cl29530,plain,
    ( ( sk__195 = k1_xboole_0 )
    | ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl29516]) ).

thf(zip_derived_cl463_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_setfam_1 @ X1 @ X0 )
        = ( k3_tarski @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).

thf(zip_derived_cl1284,plain,
    ( ( sk__195 != k1_xboole_0 )
    | ( ( k5_setfam_1 @ sk__193 @ sk__194 )
     != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29465,plain,
    ( ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 )
    | ~ ( m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ) )
    | ( sk__195 != k1_xboole_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl463,zip_derived_cl1284]) ).

thf(zip_derived_cl1283_002,plain,
    m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl29469,plain,
    ( ( ( k3_tarski @ sk__194 )
     != k1_xboole_0 )
    | ( sk__195 != k1_xboole_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl29465,zip_derived_cl1283]) ).

thf(zip_derived_cl29546,plain,
    ( ( k3_tarski @ sk__194 )
   != k1_xboole_0 ),
    inference(clc,[status(thm)],[zip_derived_cl29530,zip_derived_cl29469]) ).

thf(zip_derived_cl72788,plain,
    ( ( ( k5_setfam_1 @ sk__193 @ sk__194 )
      = k1_xboole_0 )
    | ( ( sk__166 @ sk__194 )
      = k1_xboole_0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl72754,zip_derived_cl29546]) ).

thf(zip_derived_cl463_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( k5_setfam_1 @ X1 @ X0 )
        = ( k3_tarski @ X0 ) )
      | ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X1 ) ) ) ),
    inference(cnf,[status(esa)],[redefinition_k5_setfam_1]) ).

thf(zip_derived_cl77204,plain,
    ( ( k1_xboole_0
      = ( k3_tarski @ sk__194 ) )
    | ( ( sk__166 @ sk__194 )
      = k1_xboole_0 )
    | ~ ( m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl72788,zip_derived_cl463]) ).

thf(zip_derived_cl1283_004,plain,
    m1_subset_1 @ sk__194 @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__193 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl77210,plain,
    ( ( k1_xboole_0
      = ( k3_tarski @ sk__194 ) )
    | ( ( sk__166 @ sk__194 )
      = k1_xboole_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl77204,zip_derived_cl1283]) ).

thf(zip_derived_cl29546_005,plain,
    ( ( k3_tarski @ sk__194 )
   != k1_xboole_0 ),
    inference(clc,[status(thm)],[zip_derived_cl29530,zip_derived_cl29469]) ).

thf(zip_derived_cl77211,plain,
    ( ( sk__166 @ sk__194 )
    = k1_xboole_0 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl77210,zip_derived_cl29546]) ).

thf(zip_derived_cl1070,plain,
    ! [X0: $i] :
      ( ( ( k3_tarski @ X0 )
        = k1_xboole_0 )
      | ( ( sk__166 @ X0 )
       != k1_xboole_0 ) ),
    inference(cnf,[status(esa)],[t91_orders_1]) ).

thf(zip_derived_cl77227,plain,
    ( ( k1_xboole_0 != k1_xboole_0 )
    | ( ( k3_tarski @ sk__194 )
      = k1_xboole_0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl77211,zip_derived_cl1070]) ).

thf(zip_derived_cl77233,plain,
    ( ( k3_tarski @ sk__194 )
    = k1_xboole_0 ),
    inference(simplify,[status(thm)],[zip_derived_cl77227]) ).

thf(zip_derived_cl29546_006,plain,
    ( ( k3_tarski @ sk__194 )
   != k1_xboole_0 ),
    inference(clc,[status(thm)],[zip_derived_cl29530,zip_derived_cl29469]) ).

thf(zip_derived_cl77234,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl77233,zip_derived_cl29546]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU430+2 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lQ6lRWHkjV true
% 0.14/0.35  % Computer : n006.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 Aug 23 17:25:23 EDT 2023
% 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 91.18/13.63  % Solved by fo/fo3_bce.sh.
% 91.18/13.63  % BCE start: 1287
% 91.18/13.63  % BCE eliminated: 37
% 91.18/13.63  % PE start: 1250
% 91.18/13.63  logic: eq
% 91.18/13.63  % PE eliminated: 4
% 91.18/13.63  % done 10296 iterations in 12.842s
% 91.18/13.63  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 91.18/13.63  % SZS output start Refutation
% See solution above
% 91.18/13.63  
% 91.18/13.63  
% 91.18/13.63  % Terminating...
% 91.68/13.70  % Runner terminated.
% 91.68/13.71  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------