TSTP Solution File: NUM848+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM848+1 : 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.2Vz2EL6iPL true

% Computer : n010.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 12:44:29 EDT 2023

% Result   : Theorem 1.48s 0.84s
% Output   : Refutation 1.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   21 (  13 unt;   7 typ;   0 def)
%            Number of atoms       :   15 (  14 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  171 (   4   ~;   0   |;   1   &; 166   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   4   !;   0   ?;   4   :)

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

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

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

thf(v1_type,type,
    v1: $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, 4)',conjecture,
    ( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
    inference('cnf.neg',[status(esa)],[holds(286,441,4)]) ).

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

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

thf(zip_derived_cl1,plain,
    ( ( vplus @ ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) @ vd436 )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference(cnf,[status(esa)],[holds(286,441,3)]) ).

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

thf(zip_derived_cl5,plain,
    ( ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ vd439 ) ) ),
    inference(cnf,[status(esa)],[holds(285,440,0)]) ).

thf(zip_derived_cl209,plain,
    ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl210,plain,
    ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
   != ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vmul @ vd436 @ ( vsucc @ vd439 ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl209]) ).

thf('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))',axiom,
    ! [Vd396: $i,Vd397: $i] :
      ( ( ( vmul @ Vd396 @ v1 )
        = Vd396 )
      & ( ( vmul @ Vd396 @ ( vsucc @ Vd397 ) )
        = ( vplus @ ( vmul @ Vd396 @ Vd397 ) @ Vd396 ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X0 @ ( vsucc @ X1 ) )
      = ( vplus @ ( vmul @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),32),and(holds(definiens(249),399,0),holds(definiens(249),398,0)))]) ).

thf(zip_derived_cl209_001,plain,
    ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
    = ( vplus @ ( vmul @ vd436 @ vd437 ) @ ( vplus @ ( vmul @ vd436 @ vd439 ) @ vd436 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl241,plain,
    ( ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 )
   != ( vplus @ ( vmul @ vd436 @ ( vplus @ vd437 @ vd439 ) ) @ vd436 ) ),
    inference(demod,[status(thm)],[zip_derived_cl210,zip_derived_cl12,zip_derived_cl209]) ).

thf(zip_derived_cl242,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl241]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM848+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2Vz2EL6iPL true
% 0.15/0.36  % Computer : n010.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 15:33:20 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.67  % Estimated wc time : 1092
% 0.22/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.79  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.22/0.82  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.82  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.48/0.84  % Solved by fo/fo6_bce.sh.
% 1.48/0.84  % BCE start: 67
% 1.48/0.84  % BCE eliminated: 0
% 1.48/0.84  % PE start: 67
% 1.48/0.84  logic: eq
% 1.48/0.84  % PE eliminated: 0
% 1.48/0.84  % done 35 iterations in 0.026s
% 1.48/0.84  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.48/0.84  % SZS output start Refutation
% See solution above
% 1.48/0.84  
% 1.48/0.84  
% 1.48/0.84  % Terminating...
% 1.48/0.88  % Runner terminated.
% 1.69/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------