TSTP Solution File: SEU424+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.chxa2caxBa true

% Computer : n009.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 19:12:52 EDT 2023

% Result   : Theorem 47.50s 7.47s
% Output   : Refutation 47.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   21 (   6 unt;   9 typ;   0 def)
%            Number of atoms       :   27 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  127 (  11   ~;   6   |;   2   &; 101   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   20 (   0   ^;  20   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__13_type,type,
    sk__13: $i ).

thf(v1_xboole_0_type,type,
    v1_xboole_0: $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(a_4_0_relset_2_type,type,
    a_4_0_relset_2: $i > $i > $i > $i > $i ).

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

thf(m2_relset_1_type,type,
    m2_relset_1: $i > $i > $i > $o ).

thf(sk__14_type,type,
    sk__14: $i ).

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

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

thf(t18_relset_2,conjecture,
    ! [A: $i] :
      ( ~ ( v1_xboole_0 @ A )
     => ! [B: $i,C: $i] :
          ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
         => ! [D: $i] :
              ( ( m2_relset_1 @ D @ A @ B )
             => ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i] :
        ( ~ ( v1_xboole_0 @ A )
       => ! [B: $i,C: $i] :
            ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
           => ! [D: $i] :
                ( ( m2_relset_1 @ D @ A @ B )
               => ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[t18_relset_2]) ).

thf(zip_derived_cl56,plain,
    m1_subset_1 @ sk__15 @ ( k1_zfmisc_1 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(s8_domain_1__e1_22__relset_2,axiom,
    ! [A: $i,B: $i,C: $i,D: $i] :
      ( ( ~ ( v1_xboole_0 @ A )
        & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) )
        & ( m2_relset_1 @ D @ A @ B ) )
     => ( m1_subset_1 @ ( a_4_0_relset_2 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ B ) ) ) ) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( m1_subset_1 @ X0 @ ( k1_zfmisc_1 @ X1 ) )
      | ( v1_xboole_0 @ X1 )
      | ~ ( m2_relset_1 @ X2 @ X1 @ X3 )
      | ( m1_subset_1 @ ( a_4_0_relset_2 @ X1 @ X3 @ X0 @ X2 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[s8_domain_1__e1_22__relset_2]) ).

thf(zip_derived_cl1267,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( a_4_0_relset_2 @ sk__13 @ X0 @ sk__15 @ X1 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) )
      | ~ ( m2_relset_1 @ X1 @ sk__13 @ X0 )
      | ( v1_xboole_0 @ sk__13 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl51]) ).

thf(zip_derived_cl53,plain,
    ~ ( v1_xboole_0 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1277,plain,
    ! [X0: $i,X1: $i] :
      ( ( m1_subset_1 @ ( a_4_0_relset_2 @ sk__13 @ X0 @ sk__15 @ X1 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ X0 ) ) )
      | ~ ( m2_relset_1 @ X1 @ sk__13 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1267,zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ~ ( m1_subset_1 @ ( a_4_0_relset_2 @ sk__13 @ sk__14 @ sk__15 @ sk__16 ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ sk__14 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8354,plain,
    ~ ( m2_relset_1 @ sk__16 @ sk__13 @ sk__14 ),
    inference('sup-',[status(thm)],[zip_derived_cl1277,zip_derived_cl55]) ).

thf(zip_derived_cl54,plain,
    m2_relset_1 @ sk__16 @ sk__13 @ sk__14,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8399,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl8354,zip_derived_cl54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU424+3 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.chxa2caxBa true
% 0.11/0.34  % Computer : n009.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Wed Aug 23 22:04:53 EDT 2023
% 0.11/0.34  % CPUTime  : 
% 0.11/0.34  % Running portfolio for 300 s
% 0.11/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.19/0.62  % Total configuration time : 435
% 0.19/0.62  % Estimated wc time : 1092
% 0.19/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 47.50/7.47  % Solved by fo/fo4.sh.
% 47.50/7.47  % done 1530 iterations in 6.684s
% 47.50/7.47  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 47.50/7.47  % SZS output start Refutation
% See solution above
% 47.50/7.47  
% 47.50/7.47  
% 47.50/7.47  % Terminating...
% 47.70/7.58  % Runner terminated.
% 47.71/7.60  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------