TSTP Solution File: NUM849+2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM849+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.TLbbtCttjc true

% Computer : n016.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 0.53s 0.77s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   26 (  16 unt;   7 typ;   0 def)
%            Number of atoms       :   22 (  21 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  174 (   3   ~;   0   |;   1   &; 168   @)
%                                         (   0 <=>;   2  =>;   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   :   22 (   0   ^;  22   !;   0   ?;  22   :)

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

thf(vd449_type,type,
    vd449: $i ).

thf(vd448_type,type,
    vd448: $i ).

thf(sk__type,type,
    sk_: $i ).

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

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

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

thf('ass(cond(270, 0), 0)',axiom,
    ! [Vd418: $i,Vd419: $i] :
      ( ( vmul @ Vd418 @ Vd419 )
      = ( vmul @ Vd419 @ Vd418 ) ) ).

thf(zip_derived_cl8,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf('qu(ind(296), imp(296))',conjecture,
    ! [Vd454: $i] :
      ( ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ Vd454 )
        = ( vmul @ vd448 @ ( vmul @ vd449 @ Vd454 ) ) )
     => ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ ( vsucc @ Vd454 ) )
        = ( vmul @ vd448 @ ( vmul @ vd449 @ ( vsucc @ Vd454 ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vd454: $i] :
        ( ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ Vd454 )
          = ( vmul @ vd448 @ ( vmul @ vd449 @ Vd454 ) ) )
       => ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ ( vsucc @ Vd454 ) )
          = ( vmul @ vd448 @ ( vmul @ vd449 @ ( vsucc @ Vd454 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[qu(ind(296),imp(296))]) ).

thf(zip_derived_cl0,plain,
    ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ sk_ )
    = ( vmul @ vd448 @ ( vmul @ vd449 @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ( ( vmul @ sk_ @ ( vmul @ vd448 @ vd449 ) )
    = ( vmul @ vd448 @ ( vmul @ vd449 @ sk_ ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf('ass(cond(261, 0), 0)',axiom,
    ! [Vd408: $i,Vd409: $i] :
      ( ( vmul @ ( vsucc @ Vd408 ) @ Vd409 )
      = ( vplus @ ( vmul @ Vd408 @ Vd409 ) @ Vd409 ) ) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ ( vsucc @ X0 ) @ X1 )
      = ( vplus @ ( vmul @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(261,0),0)]) ).

thf(zip_derived_cl51,plain,
    ( ( vmul @ ( vsucc @ sk_ ) @ ( vmul @ vd448 @ vd449 ) )
    = ( vplus @ ( vmul @ vd448 @ ( vmul @ vd449 @ sk_ ) ) @ ( vmul @ vd448 @ vd449 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl17,zip_derived_cl9]) ).

thf('ass(cond(281, 0), 0)',axiom,
    ! [Vd432: $i,Vd433: $i,Vd434: $i] :
      ( ( vmul @ Vd432 @ ( vplus @ Vd433 @ Vd434 ) )
      = ( vplus @ ( vmul @ Vd432 @ Vd433 ) @ ( vmul @ Vd432 @ Vd434 ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( vmul @ X0 @ ( vplus @ X1 @ X2 ) )
      = ( vplus @ ( vmul @ X0 @ X1 ) @ ( vmul @ X0 @ X2 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(281,0),0)]) ).

thf(zip_derived_cl127,plain,
    ( ( vmul @ vd448 @ ( vplus @ ( vmul @ vd449 @ sk_ ) @ vd449 ) )
    = ( vmul @ ( vsucc @ sk_ ) @ ( vmul @ vd448 @ vd449 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl51,zip_derived_cl7]) ).

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_cl10,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_cl128,plain,
    ( ( vmul @ vd448 @ ( vmul @ vd449 @ ( vsucc @ sk_ ) ) )
    = ( vmul @ ( vsucc @ sk_ ) @ ( vmul @ vd448 @ vd449 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl127,zip_derived_cl10]) ).

thf(zip_derived_cl1,plain,
    ( ( vmul @ ( vmul @ vd448 @ vd449 ) @ ( vsucc @ sk_ ) )
   != ( vmul @ vd448 @ ( vmul @ vd449 @ ( vsucc @ sk_ ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_001,plain,
    ! [X0: $i,X1: $i] :
      ( ( vmul @ X1 @ X0 )
      = ( vmul @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(270,0),0)]) ).

thf(zip_derived_cl16,plain,
    ( ( vmul @ ( vsucc @ sk_ ) @ ( vmul @ vd448 @ vd449 ) )
   != ( vmul @ vd448 @ ( vmul @ vd449 @ ( vsucc @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1,zip_derived_cl8]) ).

thf(zip_derived_cl129,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl128,zip_derived_cl16]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM849+2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TLbbtCttjc true
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 17:58:40 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.20/0.66  % Total configuration time : 435
% 0.20/0.66  % Estimated wc time : 1092
% 0.20/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.77  % Solved by fo/fo3_bce.sh.
% 0.53/0.77  % BCE start: 15
% 0.53/0.77  % BCE eliminated: 0
% 0.53/0.77  % PE start: 15
% 0.53/0.77  logic: eq
% 0.53/0.77  % PE eliminated: 0
% 0.53/0.77  % done 32 iterations in 0.027s
% 0.53/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.53/0.77  % SZS output start Refutation
% See solution above
% 0.53/0.77  
% 0.53/0.77  
% 0.53/0.77  % Terminating...
% 0.58/0.85  % Runner terminated.
% 0.58/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------