TSTP Solution File: GEO474+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO474+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RvFrXUs2yY true

% Computer : n022.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 23:58:50 EDT 2023

% Result   : Theorem 15.69s 2.75s
% Output   : Refutation 15.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   26 (  10 unt;  12 typ;   0 def)
%            Number of atoms       :   18 (  17 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  451 (   7   ~;   3   |;   0   &; 440   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(rank_type,type,
    rank: $i ).

thf(sk__49_type,type,
    sk__49: $i ).

thf(numeral_type,type,
    numeral: $i ).

thf(sk__48_type,type,
    sk__48: $i ).

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

thf(mat_type,type,
    mat: $i ).

thf(u_0_type,type,
    u_0: $i ).

thf(num_type,type,
    num: $i ).

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

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

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

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

thf(aRANKu_EQu_0,axiom,
    ! [M: $i,N: $i,A5: $i] :
      ( ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ M ) @ N ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ A5 ) ) )
        = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) )
    <=> ( ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ A5 )
        = ( s @ ( cart @ ( cart @ real @ M ) @ N ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ M ) @ N ) ) @ mat ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ) ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ X2 ) ) )
        = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) )
      | ( ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ X2 )
       != ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ X0 ) @ X1 ) ) @ mat ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[aRANKu_EQu_0]) ).

thf(aNUMERAL,axiom,
    ! [N0: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ N0 ) ) )
      = ( s @ num @ N0 ) ) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ X0 ) ) )
      = ( s @ num @ X0 ) ),
    inference(cnf,[status(esa)],[aNUMERAL]) ).

thf(zip_derived_cl14_001,plain,
    ! [X0: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ X0 ) ) )
      = ( s @ num @ X0 ) ),
    inference(cnf,[status(esa)],[aNUMERAL]) ).

thf(zip_derived_cl2406,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ X2 ) ) )
        = ( s @ num @ u_0 ) )
      | ( ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ X2 )
       != ( s @ ( cart @ ( cart @ real @ X0 ) @ X1 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ X0 ) @ X1 ) ) @ mat ) @ ( s @ num @ u_0 ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl78,zip_derived_cl14,zip_derived_cl14]) ).

thf(aRANKu_0,conjecture,
    ! [Q133117: $i,Q133118: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) ) @ mat ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ) ) )
      = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Q133117: $i,Q133118: $i] :
        ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ Q133117 ) @ Q133118 ) ) @ mat ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ) ) )
        = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[aRANKu_0]) ).

thf(zip_derived_cl79,plain,
    ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) ) @ mat ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ) ) ) )
   != ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ u_0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_002,plain,
    ! [X0: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ X0 ) ) )
      = ( s @ num @ X0 ) ),
    inference(cnf,[status(esa)],[aNUMERAL]) ).

thf(zip_derived_cl14_003,plain,
    ! [X0: $i] :
      ( ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ X0 ) ) )
      = ( s @ num @ X0 ) ),
    inference(cnf,[status(esa)],[aNUMERAL]) ).

thf(zip_derived_cl89,plain,
    ( ( s @ num @ ( i @ ( s @ ( fun @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ num ) @ rank ) @ ( s @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) ) @ mat ) @ ( s @ num @ u_0 ) ) ) ) )
   != ( s @ num @ u_0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl79,zip_derived_cl14,zip_derived_cl14]) ).

thf(zip_derived_cl2464,plain,
    ( ( ( s @ num @ u_0 )
     != ( s @ num @ u_0 ) )
    | ( ( s @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) ) @ mat ) @ ( s @ num @ u_0 ) ) )
     != ( s @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) @ ( i @ ( s @ ( fun @ num @ ( cart @ ( cart @ real @ sk__48 ) @ sk__49 ) ) @ mat ) @ ( s @ num @ u_0 ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2406,zip_derived_cl89]) ).

thf(zip_derived_cl2477,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2464]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO474+1 : TPTP v8.1.2. Released v7.0.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RvFrXUs2yY true
% 0.12/0.34  % Computer : n022.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 : Tue Aug 29 22:27:53 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in FO mode
% 0.45/0.57  % Total configuration time : 435
% 0.45/0.57  % Estimated wc time : 1092
% 0.45/0.57  % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.62  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.65  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 15.69/2.75  % Solved by fo/fo4.sh.
% 15.69/2.75  % done 125 iterations in 2.022s
% 15.69/2.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 15.69/2.75  % SZS output start Refutation
% See solution above
% 15.69/2.75  
% 15.69/2.75  
% 15.69/2.75  % Terminating...
% 15.69/2.79  % Runner terminated.
% 15.69/2.80  % Zipperpin 1.5 exiting
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