TSTP Solution File: ITP341_1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A0k6bJrWyR 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 Aug 31 05:24:42 EDT 2023

% Result   : Theorem 1.27s 0.80s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   21 (  12 unt;   9 typ;   0 def)
%            Number of atoms       :   12 (  11 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   40 (   4   ~;   0   |;   0   &;  36   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Number of types       :    2 (   2 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   0   ^;   3   !;   0   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
thf('A_n_vec_n_vec$_type',type,
    'A_n_vec_n_vec$': $tType ).

thf('A$_type',type,
    'A$': $tType ).

thf('zero$_type',type,
    'zero$': 'A$' ).

thf('mat$_type',type,
    'mat$': 'A$' > 'A_n_vec_n_vec$' ).

thf('dbl_inc$b_type',type,
    'dbl_inc$b': 'A$' > 'A$' ).

thf('matrix_matrix_mult$_type',type,
    'matrix_matrix_mult$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).

thf('one$_type',type,
    'one$': 'A$' ).

thf('p$_type',type,
    'p$': 'A_n_vec_n_vec$' ).

thf('matrix_inv$_type',type,
    'matrix_inv$': 'A_n_vec_n_vec$' > 'A_n_vec_n_vec$' ).

thf(conjecture3,conjecture,
    ( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
    = ( 'matrix_inv$' @ 'p$' ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
   != ( 'matrix_inv$' @ 'p$' ) ),
    inference('cnf.neg',[status(esa)],[conjecture3]) ).

thf(zip_derived_cl6,plain,
    ( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ 'one$' ) )
   != ( 'matrix_inv$' @ 'p$' ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(axiom206,axiom,
    ( ( 'dbl_inc$b' @ 'zero$' )
    = 'one$' ) ).

thf(zip_derived_cl306,plain,
    ( ( 'dbl_inc$b' @ 'zero$' )
    = 'one$' ),
    inference(cnf,[status(esa)],[axiom206]) ).

thf(zip_derived_cl597,plain,
    ( ( 'matrix_matrix_mult$' @ ( 'matrix_inv$' @ 'p$' ) @ ( 'mat$' @ ( 'dbl_inc$b' @ 'zero$' ) ) )
   != ( 'matrix_inv$' @ 'p$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl306]) ).

thf(axiom9,axiom,
    ! [A__questionmark_v0: 'A_n_vec_n_vec$'] :
      ( ( 'matrix_matrix_mult$' @ A__questionmark_v0 @ ( 'mat$' @ 'one$' ) )
      = A__questionmark_v0 ) ).

thf(zip_derived_cl12,plain,
    ! [X0: 'A_n_vec_n_vec$'] :
      ( ( 'matrix_matrix_mult$' @ X0 @ ( 'mat$' @ 'one$' ) )
      = X0 ),
    inference(cnf,[status(esa)],[axiom9]) ).

thf(zip_derived_cl306_001,plain,
    ( ( 'dbl_inc$b' @ 'zero$' )
    = 'one$' ),
    inference(cnf,[status(esa)],[axiom206]) ).

thf(zip_derived_cl601,plain,
    ! [X0: 'A_n_vec_n_vec$'] :
      ( ( 'matrix_matrix_mult$' @ X0 @ ( 'mat$' @ ( 'dbl_inc$b' @ 'zero$' ) ) )
      = X0 ),
    inference(demod,[status(thm)],[zip_derived_cl12,zip_derived_cl306]) ).

thf(zip_derived_cl602,plain,
    ( ( 'matrix_inv$' @ 'p$' )
   != ( 'matrix_inv$' @ 'p$' ) ),
    inference(demod,[status(thm)],[zip_derived_cl597,zip_derived_cl601]) ).

thf(zip_derived_cl603,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl602]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : ITP341_1 : TPTP v8.1.2. Released v8.0.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A0k6bJrWyR true
% 0.11/0.33  % Computer : n007.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Sun Aug 27 13:34:42 EDT 2023
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.34  % Python version: Python 3.6.8
% 0.11/0.34  % Running in FO mode
% 0.18/0.60  % Total configuration time : 435
% 0.18/0.60  % Estimated wc time : 1092
% 0.18/0.60  % Estimated cpu time (7 cpus) : 156.0
% 1.12/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.12/0.72  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.12/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.12/0.72  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.12/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.12/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.12/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.27/0.80  % Solved by fo/fo5.sh.
% 1.27/0.80  % done 31 iterations in 0.062s
% 1.27/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.27/0.80  % SZS output start Refutation
% See solution above
% 1.27/0.80  
% 1.27/0.80  
% 1.27/0.80  % Terminating...
% 1.85/0.92  % Runner terminated.
% 1.85/0.92  % Zipperpin 1.5 exiting
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