TSTP Solution File: NUM847+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM847+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O6dCHwZpWj 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 : Thu Aug 31 12:44:28 EDT 2023

% Result   : Theorem 0.81s 0.75s
% Output   : Refutation 0.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   24 (  19 unt;   5 typ;   0 def)
%            Number of atoms       :   19 (  18 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :  187 (   5   ~;   0   |;   0   &; 182   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vd439_type,type,
    vd439: $i ).

thf(vd437_type,type,
    vd437: $i ).

thf(vd436_type,type,
    vd436: $i ).

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

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

thf('holds(286, 441, 3)',conjecture,
    ( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference('cnf.neg',[status(esa)],[holds(286,441,3)]) ).

thf(zip_derived_cl0,plain,
    ( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('holds(285, 440, 0)',axiom,
    ( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ) ).

thf(zip_derived_cl4,plain,
    ( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
    inference(cnf,[status(esa)],[holds(285,440,0)]) ).

thf(zip_derived_cl21,plain,
    ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

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_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl25,plain,
    ( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ vd436 @ ( vmul @ vd436 @ vd439 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl13,zip_derived_cl13]) ).

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_cl4_003,plain,
    ( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
    inference(cnf,[status(esa)],[holds(285,440,0)]) ).

thf('ass(cond(33, 0), 0)',axiom,
    ! [Vd46: $i,Vd47: $i,Vd48: $i] :
      ( ( vplus @ ( vplus @ Vd46 @ Vd47 ) @ Vd48 )
      = ( vplus @ Vd46 @ ( vplus @ Vd47 @ Vd48 ) ) ) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( vplus @ ( vplus @ X0 @ X1 ) @ X2 )
      = ( vplus @ X0 @ ( vplus @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(33,0),0)]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] :
      ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ X0 )
      = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ X0 ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl16]) ).

thf(zip_derived_cl89,plain,
    ! [X0: $i] :
      ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ X0 )
      = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ X0 @ ( vmul @ vd436 @ vd439 ) ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl68]) ).

thf(zip_derived_cl13_004,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl122,plain,
    ( ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) )
   != ( vplus @ vd436 @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl89,zip_derived_cl13]) ).

thf(zip_derived_cl123,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl122]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM847+2 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.O6dCHwZpWj true
% 0.12/0.32  % Computer : n011.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Fri Aug 25 17:55:53 EDT 2023
% 0.12/0.32  % CPUTime  : 
% 0.12/0.32  % Running portfolio for 300 s
% 0.12/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.12/0.33  % Python version: Python 3.6.8
% 0.12/0.33  % Running in FO mode
% 0.18/0.66  % Total configuration time : 435
% 0.18/0.66  % Estimated wc time : 1092
% 0.18/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.18/0.70  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.81/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.75  % Solved by fo/fo6_bce.sh.
% 0.81/0.75  % BCE start: 21
% 0.81/0.75  % BCE eliminated: 2
% 0.81/0.75  % PE start: 19
% 0.81/0.75  logic: eq
% 0.81/0.75  % PE eliminated: 0
% 0.81/0.75  % done 42 iterations in 0.029s
% 0.81/0.75  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.81/0.75  % SZS output start Refutation
% See solution above
% 0.81/0.75  
% 0.81/0.75  
% 0.81/0.75  % Terminating...
% 1.34/0.85  % Runner terminated.
% 1.34/0.86  % Zipperpin 1.5 exiting
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