TSTP Solution File: GEO452+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO452+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i2SsaVj7BJ true

% Computer : n011.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 : Wed Aug 30 23:58:46 EDT 2023

% Result   : Theorem 242.65s 35.39s
% Output   : Refutation 242.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   23 (   4 unt;  14 typ;   0 def)
%            Number of atoms       :   14 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  631 (   6   ~;   2   |;   0   &; 620   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  12 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  10 con; 0-2 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__248_type,type,
    sk__248: $i ).

thf(matrixu_vectoru_mul_type,type,
    matrixu_vectoru_mul: $i ).

thf(fun_type,type,
    fun: $i > $i > $i ).

thf(matrix_type,type,
    matrix: $i ).

thf(sk__247_type,type,
    sk__247: $i ).

thf(linear_type,type,
    linear: $i ).

thf(sk__246_type,type,
    sk__246: $i ).

thf(bool_type,type,
    bool: $i ).

thf(s_type,type,
    s: $i > $i > $i ).

thf(p_type,type,
    p: $i > $o ).

thf(i_type,type,
    i: $i > $i > $i ).

thf(real_type,type,
    real: $i ).

thf(cart_type,type,
    cart: $i > $i > $i ).

thf(sk__245_type,type,
    sk__245: $i ).

thf(aMATRIXu_WORKS,axiom,
    ! [N: $i,M: $i,F0: $i] :
      ( ( p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) )
     => ! [X: $i] :
          ( ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ M ) @ N ) @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) ) @ matrixu_vectoru_mul ) @ ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( cart @ ( cart @ real @ M ) @ N ) ) @ matrix ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) ) ) @ ( s @ ( cart @ real @ M ) @ X ) ) )
          = ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) @ ( s @ ( cart @ real @ M ) @ X ) ) ) ) ) ).

thf(zip_derived_cl413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( ( s @ ( cart @ real @ X0 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ X1 ) @ X0 ) @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) ) @ matrixu_vectoru_mul ) @ ( s @ ( cart @ ( cart @ real @ X1 ) @ X0 ) @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ ( cart @ ( cart @ real @ X1 ) @ X0 ) ) @ matrix ) @ ( s @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ X2 ) ) ) ) ) @ ( s @ ( cart @ real @ X1 ) @ X3 ) ) )
        = ( s @ ( cart @ real @ X0 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ X2 ) @ ( s @ ( cart @ real @ X1 ) @ X3 ) ) ) )
      | ~ ( p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ X1 ) @ ( cart @ real @ X0 ) ) @ X2 ) ) ) ) ),
    inference(cnf,[status(esa)],[aMATRIXu_WORKS]) ).

thf(aMATRIXu_VECTORu_MUL,conjecture,
    ! [N: $i,M: $i,F0: $i] :
      ( ( p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) )
     => ! [X: $i] :
          ( ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) @ ( s @ ( cart @ real @ M ) @ X ) ) )
          = ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ M ) @ N ) @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) ) @ matrixu_vectoru_mul ) @ ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( cart @ ( cart @ real @ M ) @ N ) ) @ matrix ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) ) ) @ ( s @ ( cart @ real @ M ) @ X ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [N: $i,M: $i,F0: $i] :
        ( ( p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) )
       => ! [X: $i] :
            ( ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) @ ( s @ ( cart @ real @ M ) @ X ) ) )
            = ( s @ ( cart @ real @ N ) @ ( i @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ M ) @ N ) @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) ) @ matrixu_vectoru_mul ) @ ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ ( cart @ ( cart @ real @ M ) @ N ) ) @ matrix ) @ ( s @ ( fun @ ( cart @ real @ M ) @ ( cart @ real @ N ) ) @ F0 ) ) ) ) ) @ ( s @ ( cart @ real @ M ) @ X ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[aMATRIXu_VECTORu_MUL]) ).

thf(zip_derived_cl415,plain,
    ( ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) )
   != ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ sk__246 ) @ sk__245 ) @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) ) @ matrixu_vectoru_mul ) @ ( s @ ( cart @ ( cart @ real @ sk__246 ) @ sk__245 ) @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ ( cart @ ( cart @ real @ sk__246 ) @ sk__245 ) ) @ matrix ) @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) ) ) ) ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62205,plain,
    ( ( ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) )
     != ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) ) )
    | ~ ( p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl413,zip_derived_cl415]) ).

thf(zip_derived_cl414,plain,
    p @ ( s @ bool @ ( i @ ( s @ ( fun @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ bool ) @ linear ) @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl62351,plain,
    ( ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) )
   != ( s @ ( cart @ real @ sk__245 ) @ ( i @ ( s @ ( fun @ ( cart @ real @ sk__246 ) @ ( cart @ real @ sk__245 ) ) @ sk__247 ) @ ( s @ ( cart @ real @ sk__246 ) @ sk__248 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62205,zip_derived_cl414]) ).

thf(zip_derived_cl62352,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl62351]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : GEO452+1 : TPTP v8.1.2. Released v7.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i2SsaVj7BJ true
% 0.14/0.35  % Computer : n011.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 : Tue Aug 29 18:58:56 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
% 0.21/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in FO mode
% 0.22/0.66  % Total configuration time : 435
% 0.22/0.66  % Estimated wc time : 1092
% 0.22/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.27/0.75  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.27/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.27/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 242.65/35.39  % Solved by fo/fo4.sh.
% 242.65/35.39  % done 4761 iterations in 34.601s
% 242.65/35.39  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 242.65/35.39  % SZS output start Refutation
% See solution above
% 242.65/35.39  
% 242.65/35.39  
% 242.65/35.39  % Terminating...
% 242.91/35.46  % Runner terminated.
% 242.91/35.46  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------