TSTP Solution File: GEO454+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GEO454+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.1I9BIF68Wo true

% Computer : n032.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 23:58:47 EDT 2023

% Result   : Theorem 13.97s 2.49s
% Output   : Refutation 13.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   31 (  14 unt;  17 typ;   0 def)
%            Number of atoms       :   14 (  13 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  469 (   3   ~;   0   |;   0   &; 466   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  14 con; 0-2 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(numeral_type,type,
    numeral: $i ).

thf(n10_type,type,
    n10: $i ).

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

thf(dimindex_type,type,
    dimindex: $i ).

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

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

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

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

thf(d__type,type,
    d_: $i ).

thf(sk__32_type,type,
    sk__32: $i ).

thf(bit1_type,type,
    bit1: $i ).

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

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

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

thf(lift_type,type,
    lift: $i ).

thf(drop_type,type,
    drop: $i ).

thf(univ_type,type,
    univ: $i ).

thf(aLIFTu_DROPu_conjunct1,conjecture,
    ! [X: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ X ) ) ) ) )
      = ( s @ real @ X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i] :
        ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ X ) ) ) ) )
        = ( s @ real @ X ) ),
    inference('cnf.neg',[status(esa)],[aLIFTu_DROPu_conjunct1]) ).

thf(zip_derived_cl51,plain,
    ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ sk__32 ) ) ) ) )
   != ( s @ real @ sk__32 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(aLIFTu_COMPONENT,axiom,
    ! [X: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ num @ real ) @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ ( fun @ num @ real ) ) @ d_ ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ X ) ) ) ) ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ) )
      = ( s @ real @ X ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ num @ real ) @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ ( fun @ num @ real ) ) @ d_ ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ X0 ) ) ) ) ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ) )
      = ( s @ real @ X0 ) ),
    inference(cnf,[status(esa)],[aLIFTu_COMPONENT]) ).

thf(aDIMINDEXu_1,axiom,
    ( ( s @ num @ ( i @ ( s @ ( fun @ ( fun @ n10 @ bool ) @ num ) @ dimindex ) @ ( s @ ( fun @ n10 @ bool ) @ univ ) ) )
    = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ) ).

thf(zip_derived_cl34,plain,
    ( ( s @ num @ ( i @ ( s @ ( fun @ ( fun @ n10 @ bool ) @ num ) @ dimindex ) @ ( s @ ( fun @ n10 @ bool ) @ univ ) ) )
    = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[aDIMINDEXu_1]) ).

thf(adrop,axiom,
    ! [X: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ X ) ) )
      = ( s @ real @ ( i @ ( s @ ( fun @ num @ real ) @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ ( fun @ num @ real ) ) @ d_ ) @ ( s @ ( cart @ real @ n10 ) @ X ) ) ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ X0 ) ) )
      = ( s @ real @ ( i @ ( s @ ( fun @ num @ real ) @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ ( fun @ num @ real ) ) @ d_ ) @ ( s @ ( cart @ real @ n10 ) @ X0 ) ) ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[adrop]) ).

thf(zip_derived_cl34_001,plain,
    ( ( s @ num @ ( i @ ( s @ ( fun @ ( fun @ n10 @ bool ) @ num ) @ dimindex ) @ ( s @ ( fun @ n10 @ bool ) @ univ ) ) )
    = ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ numeral ) @ ( s @ num @ ( i @ ( s @ ( fun @ num @ num ) @ bit1 ) @ ( s @ num @ u_0 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[aDIMINDEXu_1]) ).

thf(zip_derived_cl1806,plain,
    ! [X0: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ X0 ) ) )
      = ( s @ real @ ( i @ ( s @ ( fun @ num @ real ) @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ ( fun @ num @ real ) ) @ d_ ) @ ( s @ ( cart @ real @ n10 ) @ X0 ) ) ) @ ( s @ num @ ( i @ ( s @ ( fun @ ( fun @ n10 @ bool ) @ num ) @ dimindex ) @ ( s @ ( fun @ n10 @ bool ) @ univ ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl48,zip_derived_cl34]) ).

thf(zip_derived_cl2030,plain,
    ! [X0: $i] :
      ( ( s @ real @ ( i @ ( s @ ( fun @ ( cart @ real @ n10 ) @ real ) @ drop ) @ ( s @ ( cart @ real @ n10 ) @ ( i @ ( s @ ( fun @ real @ ( cart @ real @ n10 ) ) @ lift ) @ ( s @ real @ X0 ) ) ) ) )
      = ( s @ real @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl34,zip_derived_cl1806]) ).

thf(zip_derived_cl2031,plain,
    ( ( s @ real @ sk__32 )
   != ( s @ real @ sk__32 ) ),
    inference(demod,[status(thm)],[zip_derived_cl51,zip_derived_cl2030]) ).

thf(zip_derived_cl2032,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2031]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GEO454+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1I9BIF68Wo true
% 0.12/0.31  % Computer : n032.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Tue Aug 29 19:18:47 EDT 2023
% 0.12/0.31  % CPUTime  : 
% 0.12/0.31  % Running portfolio for 300 s
% 0.12/0.31  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.32  % Number of cores: 8
% 0.12/0.32  % Python version: Python 3.6.8
% 0.12/0.32  % Running in FO mode
% 0.17/0.53  % Total configuration time : 435
% 0.17/0.53  % Estimated wc time : 1092
% 0.17/0.53  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.60  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.61  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.62  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.62  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 13.97/2.49  % Solved by fo/fo4.sh.
% 13.97/2.49  % done 125 iterations in 1.841s
% 13.97/2.49  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.97/2.49  % SZS output start Refutation
% See solution above
% 13.97/2.49  
% 13.97/2.49  
% 13.97/2.49  % Terminating...
% 14.06/2.56  % Runner terminated.
% 14.06/2.57  % Zipperpin 1.5 exiting
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