TSTP Solution File: NUM845+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM845+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.oHUmqKNDmq true

% Computer : n020.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 1.37s 1.00s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   45
% Syntax   : Number of formulae    :   71 (  49 unt;   6 typ;   0 def)
%            Number of atoms       :   81 (  80 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  565 (  17   ~;   9   |;   2   &; 532   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   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   :   67 (   0   ^;  67   !;   0   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v1_type,type,
    v1: $i ).

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

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

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

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

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

thf('qu(ind(267), imp(267))',conjecture,
    ! [Vd416: $i] :
      ( ( ( vmul @ ( vsucc @ vd411 ) @ Vd416 )
        = ( vplus @ ( vmul @ vd411 @ Vd416 ) @ Vd416 ) )
     => ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ Vd416 ) )
        = ( vplus @ ( vmul @ vd411 @ ( vsucc @ Vd416 ) ) @ ( vsucc @ Vd416 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vd416: $i] :
        ( ( ( vmul @ ( vsucc @ vd411 ) @ Vd416 )
          = ( vplus @ ( vmul @ vd411 @ Vd416 ) @ Vd416 ) )
       => ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ Vd416 ) )
          = ( vplus @ ( vmul @ vd411 @ ( vsucc @ Vd416 ) ) @ ( vsucc @ Vd416 ) ) ) ),
    inference('cnf.neg',[status(esa)],[qu(ind(267),imp(267))]) ).

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

thf('holds(264, 412, 2)',axiom,
    ( ( vsucc @ ( vmul @ vd411 @ v1 ) )
    = ( vplus @ ( vmul @ vd411 @ v1 ) @ v1 ) ) ).

thf(zip_derived_cl10,plain,
    ( ( vsucc @ ( vmul @ vd411 @ v1 ) )
    = ( vplus @ ( vmul @ vd411 @ v1 ) @ v1 ) ),
    inference(cnf,[status(esa)],[holds(264,412,2)]) ).

thf('holds(264, 412, 1)',axiom,
    ( ( vsucc @ vd411 )
    = ( vsucc @ ( vmul @ vd411 @ v1 ) ) ) ).

thf(zip_derived_cl11,plain,
    ( ( vsucc @ vd411 )
    = ( vsucc @ ( vmul @ vd411 @ v1 ) ) ),
    inference(cnf,[status(esa)],[holds(264,412,1)]) ).

thf(zip_derived_cl212,plain,
    ( ( vsucc @ vd411 )
    = ( vplus @ ( vmul @ vd411 @ v1 ) @ v1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl11]) ).

thf(zip_derived_cl11_001,plain,
    ( ( vsucc @ vd411 )
    = ( vsucc @ ( vmul @ vd411 @ v1 ) ) ),
    inference(cnf,[status(esa)],[holds(264,412,1)]) ).

thf('ass(cond(6, 0), 0)',axiom,
    ! [Vd7: $i,Vd8: $i] :
      ( ( Vd7 != Vd8 )
     => ( ( vsucc @ Vd7 )
       != ( vsucc @ Vd8 ) ) ) ).

thf(zip_derived_cl66,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( vsucc @ X1 )
       != ( vsucc @ X0 ) )
      | ( X1 = X0 ) ),
    inference(cnf,[status(esa)],[ass(cond(6,0),0)]) ).

thf(zip_derived_cl230,plain,
    ! [X0: $i] :
      ( ( ( vsucc @ vd411 )
       != ( vsucc @ X0 ) )
      | ( ( vmul @ vd411 @ v1 )
        = X0 ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl66]) ).

thf(zip_derived_cl234,plain,
    ( ( vmul @ vd411 @ v1 )
    = vd411 ),
    inference(eq_res,[status(thm)],[zip_derived_cl230]) ).

thf(zip_derived_cl237,plain,
    ( ( vsucc @ vd411 )
    = ( vplus @ vd411 @ v1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl234]) ).

thf(zip_derived_cl247,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
    = ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl237]) ).

thf('ass(cond(conseq(263), 1), 5)',axiom,
    ! [Vd413: $i] :
      ( ( ( vmul @ ( vsucc @ vd411 ) @ Vd413 )
        = ( vplus @ ( vmul @ vd411 @ Vd413 ) @ Vd413 ) )
     => ( ( vplus @ ( vplus @ ( vmul @ vd411 @ Vd413 ) @ Vd413 ) @ ( vsucc @ vd411 ) )
        = ( vplus @ ( vmul @ vd411 @ Vd413 ) @ ( vplus @ Vd413 @ ( vsucc @ vd411 ) ) ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i] :
      ( ( ( vplus @ ( vplus @ ( vmul @ vd411 @ X0 ) @ X0 ) @ ( vsucc @ vd411 ) )
        = ( vplus @ ( vmul @ vd411 @ X0 ) @ ( vplus @ X0 @ ( vsucc @ vd411 ) ) ) )
      | ( ( vmul @ ( vsucc @ vd411 ) @ X0 )
       != ( vplus @ ( vmul @ vd411 @ X0 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(conseq(263),1),5)]) ).

thf(zip_derived_cl237_002,plain,
    ( ( vsucc @ vd411 )
    = ( vplus @ vd411 @ v1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl234]) ).

thf(zip_derived_cl237_003,plain,
    ( ( vsucc @ vd411 )
    = ( vplus @ vd411 @ v1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl234]) ).

thf(zip_derived_cl237_004,plain,
    ( ( vsucc @ vd411 )
    = ( vplus @ vd411 @ v1 ) ),
    inference(demod,[status(thm)],[zip_derived_cl212,zip_derived_cl234]) ).

thf(zip_derived_cl267,plain,
    ! [X0: $i] :
      ( ( ( vplus @ ( vplus @ ( vmul @ vd411 @ X0 ) @ X0 ) @ ( vplus @ vd411 @ v1 ) )
        = ( vplus @ ( vmul @ vd411 @ X0 ) @ ( vplus @ X0 @ ( vplus @ vd411 @ v1 ) ) ) )
      | ( ( vmul @ ( vplus @ vd411 @ v1 ) @ X0 )
       != ( vplus @ ( vmul @ vd411 @ X0 ) @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl237,zip_derived_cl237,zip_derived_cl237]) ).

thf(zip_derived_cl349,plain,
    ( ( ( vplus @ ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) @ ( vplus @ vd411 @ v1 ) )
      = ( vplus @ ( vmul @ vd411 @ sk_ ) @ ( vplus @ sk_ @ ( vplus @ vd411 @ v1 ) ) ) )
    | ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
     != ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl267]) ).

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_cl14,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_cl351,plain,
    ( ( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vsucc @ sk_ ) )
      = ( vplus @ ( vmul @ vd411 @ sk_ ) @ ( vplus @ sk_ @ ( vplus @ vd411 @ v1 ) ) ) )
    | ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
     != ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl349,zip_derived_cl14]) ).

thf(zip_derived_cl352,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vsucc @ sk_ ) )
    = ( vplus @ ( vmul @ vd411 @ sk_ ) @ ( vplus @ sk_ @ ( vplus @ vd411 @ v1 ) ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl351]) ).

thf('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,
    ! [Vd42: $i,Vd43: $i] :
      ( ( ( vplus @ Vd42 @ v1 )
        = ( vsucc @ Vd42 ) )
      & ( ( vplus @ Vd42 @ ( vsucc @ Vd43 ) )
        = ( vsucc @ ( vplus @ Vd42 @ Vd43 ) ) ) ) ).

thf(zip_derived_cl63,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

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

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl62,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X0 @ ( vsucc @ X1 ) )
      = ( vsucc @ ( vplus @ X0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl63_005,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl63_006,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl58_007,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl1052,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X0 @ ( vplus @ X1 @ v1 ) )
      = ( vplus @ v1 @ ( vplus @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl63,zip_derived_cl63,zip_derived_cl58]) ).

thf(zip_derived_cl58_008,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl1052_009,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X0 @ ( vplus @ X1 @ v1 ) )
      = ( vplus @ v1 @ ( vplus @ X0 @ X1 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl63,zip_derived_cl63,zip_derived_cl58]) ).

thf(zip_derived_cl58_010,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl58_011,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),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_cl61,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_cl61_012,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_cl247_013,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
    = ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) ),
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl237]) ).

thf(zip_derived_cl58_014,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl960,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
    = ( vplus @ sk_ @ ( vmul @ vd411 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl58]) ).

thf(zip_derived_cl1232,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ v1 @ sk_ ) )
    = ( vplus @ vd411 @ ( vplus @ v1 @ ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl352,zip_derived_cl63,zip_derived_cl58,zip_derived_cl1052,zip_derived_cl58,zip_derived_cl1052,zip_derived_cl58,zip_derived_cl58,zip_derived_cl61,zip_derived_cl61,zip_derived_cl960]) ).

thf('ass(cond(conseq(263), 1), 0)',axiom,
    ! [Vd413: $i] :
      ( ( ( vmul @ ( vsucc @ vd411 ) @ Vd413 )
        = ( vplus @ ( vmul @ vd411 @ Vd413 ) @ Vd413 ) )
     => ( ( vplus @ ( vplus @ ( vmul @ vd411 @ Vd413 ) @ vd411 ) @ ( vsucc @ Vd413 ) )
        = ( vplus @ ( vmul @ vd411 @ ( vsucc @ Vd413 ) ) @ ( vsucc @ Vd413 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i] :
      ( ( ( vplus @ ( vplus @ ( vmul @ vd411 @ X0 ) @ vd411 ) @ ( vsucc @ X0 ) )
        = ( vplus @ ( vmul @ vd411 @ ( vsucc @ X0 ) ) @ ( vsucc @ X0 ) ) )
      | ( ( vmul @ ( vsucc @ vd411 ) @ X0 )
       != ( vplus @ ( vmul @ vd411 @ X0 ) @ X0 ) ) ),
    inference(cnf,[status(esa)],[ass(cond(conseq(263),1),0)]) ).

thf(zip_derived_cl1,plain,
    ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ sk_ ) )
   != ( vplus @ ( vmul @ vd411 @ ( vsucc @ sk_ ) ) @ ( vsucc @ sk_ ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ( ( ( vmul @ ( vsucc @ vd411 ) @ sk_ )
     != ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) )
    | ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ sk_ ) )
     != ( vplus @ ( vplus @ ( vmul @ vd411 @ sk_ ) @ vd411 ) @ ( vsucc @ sk_ ) ) ) ),
    inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

thf(zip_derived_cl0_015,plain,
    ( ( vmul @ ( vsucc @ vd411 ) @ sk_ )
    = ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl218,plain,
    ( ( ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ )
     != ( vplus @ ( vmul @ vd411 @ sk_ ) @ sk_ ) )
    | ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ sk_ ) )
     != ( vplus @ ( vplus @ ( vmul @ vd411 @ sk_ ) @ vd411 ) @ ( vsucc @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl0]) ).

thf(zip_derived_cl219,plain,
    ( ( vmul @ ( vsucc @ vd411 ) @ ( vsucc @ sk_ ) )
   != ( vplus @ ( vplus @ ( vmul @ vd411 @ sk_ ) @ vd411 ) @ ( vsucc @ sk_ ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl63_016,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl63_017,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl58_018,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl58_019,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl63_020,plain,
    ! [X0: $i] :
      ( ( vplus @ X0 @ v1 )
      = ( vsucc @ X0 ) ),
    inference(cnf,[status(esa)],[qu(cond(conseq(axiom(3)),3),and(holds(definiens(29),45,0),holds(definiens(29),44,0)))]) ).

thf(zip_derived_cl58_021,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl61_022,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_cl58_023,plain,
    ! [X0: $i,X1: $i] :
      ( ( vplus @ X1 @ X0 )
      = ( vplus @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[ass(cond(61,0),0)]) ).

thf(zip_derived_cl61_024,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_cl960_025,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ )
    = ( vplus @ sk_ @ ( vmul @ vd411 @ sk_ ) ) ),
    inference('s_sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl58]) ).

thf(zip_derived_cl1229,plain,
    ( ( vmul @ ( vplus @ vd411 @ v1 ) @ ( vplus @ v1 @ sk_ ) )
   != ( vplus @ vd411 @ ( vplus @ v1 @ ( vmul @ ( vplus @ vd411 @ v1 ) @ sk_ ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl63,zip_derived_cl63,zip_derived_cl58,zip_derived_cl58,zip_derived_cl63,zip_derived_cl58,zip_derived_cl61,zip_derived_cl58,zip_derived_cl61,zip_derived_cl960]) ).

thf(zip_derived_cl1233,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl1232,zip_derived_cl1229]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : NUM845+1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oHUmqKNDmq true
% 0.15/0.37  % Computer : n020.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Fri Aug 25 08:27:00 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.38  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.78  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.37/1.00  % Solved by fo/fo6_bce.sh.
% 1.37/1.00  % BCE start: 69
% 1.37/1.00  % BCE eliminated: 0
% 1.37/1.00  % PE start: 69
% 1.37/1.00  logic: eq
% 1.37/1.00  % PE eliminated: 0
% 1.37/1.00  % done 192 iterations in 0.216s
% 1.37/1.00  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.37/1.00  % SZS output start Refutation
% See solution above
% 1.37/1.00  
% 1.37/1.00  
% 1.37/1.00  % Terminating...
% 1.62/1.08  % Runner terminated.
% 1.62/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------