TSTP Solution File: NUM844+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hRE6YQ0qB9 true

% Computer : n025.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 12:44:27 EDT 2023

% Result   : Theorem 0.20s 0.77s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   19 (  13 unt;   6 typ;   0 def)
%            Number of atoms       :   13 (  12 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  103 (   4   ~;   0   |;   0   &;  99   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd413_type,type,
    vd413: $i ).

thf(v1_type,type,
    v1: $i ).

thf(vd411_type,type,
    vd411: $i ).

thf(vmul_type,type,
    vmul: $i > $i > $i ).

thf(vplus_type,type,
    vplus: $i > $i > $i ).

thf(vsucc_type,type,
    vsucc: $i > $i ).

thf('holds(266, 415, 3)',conjecture,
    ( ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ vd413 @ ( vsucc @ vd411 ) ) )
    = ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ ( vsucc @ vd411 ) @ vd413 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ vd413 @ ( vsucc @ vd411 ) ) )
   != ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ ( vsucc @ vd411 ) @ vd413 ) ) ),
    inference('cnf.neg',[status(esa)],[holds(266,415,3)]) ).

thf(zip_derived_cl0,plain,
    ( ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ vd413 @ ( vsucc @ vd411 ) ) )
   != ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ ( vsucc @ vd411 ) @ vd413 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('ass(cond(43, 0), 0)',axiom,
    ! [Vd59: $i] :
      ( ( vplus @ v1 @ Vd59 )
      = ( vsucc @ Vd59 ) ) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ( ( vplus @ v1 @ X0 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).

thf(zip_derived_cl15_001,plain,
    ! [X0: $i] :
      ( ( vplus @ v1 @ X0 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(43,0),0)]) ).

thf(zip_derived_cl22,plain,
    ( ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ vd413 @ ( vplus @ v1 @ vd411 ) ) )
   != ( vplus @ ( vmul @ vd411 @ vd413 ) @ ( vplus @ ( vplus @ v1 @ vd411 ) @ vd413 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl15,zip_derived_cl15]) ).

thf('ass(cond(61, 0), 0)',axiom,
    ! [Vd78: $i,Vd79: $i] :
      ( ( vplus @ Vd79 @ Vd78 )
      = ( vplus @ Vd78 @ Vd79 ) ) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl13_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl13_003,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl53,plain,
    ( ( vplus @ ( vplus @ ( vplus @ v1 @ vd411 ) @ vd413 ) @ ( vmul @ vd411 @ vd413 ) )
   != ( vplus @ ( vplus @ ( vplus @ v1 @ vd411 ) @ vd413 ) @ ( vmul @ vd411 @ vd413 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl13,zip_derived_cl13,zip_derived_cl13]) ).

thf(zip_derived_cl54,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl53]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM844+2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hRE6YQ0qB9 true
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 08:16:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.67  % Total configuration time : 435
% 0.20/0.67  % Estimated wc time : 1092
% 0.20/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.77  % Solved by fo/fo7.sh.
% 0.20/0.77  % done 24 iterations in 0.011s
% 0.20/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.77  % SZS output start Refutation
% See solution above
% 0.20/0.77  
% 0.20/0.77  
% 0.20/0.77  % Terminating...
% 1.41/0.85  % Runner terminated.
% 1.41/0.86  % Zipperpin 1.5 exiting
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