TSTP Solution File: SYO179^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO179^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oP5P2co2AY true

% Computer : n003.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 : Fri Sep  1 05:50:09 EDT 2023

% Result   : Theorem 1.45s 1.35s
% Output   : Refutation 1.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   67
%            Number of leaves      :    9
% Syntax   : Number of formulae    :  379 (  22 unt;   8 typ;   0 def)
%            Number of atoms       : 1171 (   0 equ;   0 cnn)
%            Maximal formula atoms :   36 (   3 avg)
%            Number of connectives : 3484 ( 344   ~; 762   |;  36   &;2340   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :  202 (   0   ^; 190   !;  12   ?; 202   :)

% Comments : 
%------------------------------------------------------------------------------
thf(cD_type,type,
    cD: $i ).

thf(cG_type,type,
    cG: $i > $i > $o ).

thf(cF_type,type,
    cF: $i ).

thf(cB_type,type,
    cB: $i ).

thf(cA_type,type,
    cA: $i ).

thf(cC_type,type,
    cC: $i ).

thf(cE_type,type,
    cE: $i ).

thf(cR_type,type,
    cR: $i > $i > $o ).

thf(cSIX_THEOREM_B,conjecture,
    ( ( ( ( cR @ cA @ cB )
        | ( cG @ cA @ cB ) )
      & ( ( cR @ cA @ cC )
        | ( cG @ cA @ cC ) )
      & ( ( cR @ cA @ cD )
        | ( cG @ cA @ cD ) )
      & ( ( cR @ cA @ cE )
        | ( cG @ cA @ cE ) )
      & ( ( cR @ cA @ cF )
        | ( cG @ cA @ cF ) )
      & ( ( cR @ cB @ cC )
        | ( cG @ cB @ cC ) )
      & ( ( cR @ cB @ cD )
        | ( cG @ cB @ cD ) )
      & ( ( cR @ cB @ cE )
        | ( cG @ cB @ cE ) )
      & ( ( cR @ cB @ cF )
        | ( cG @ cB @ cF ) )
      & ( ( cR @ cC @ cD )
        | ( cG @ cC @ cD ) )
      & ( ( cR @ cC @ cE )
        | ( cG @ cC @ cE ) )
      & ( ( cR @ cC @ cF )
        | ( cG @ cC @ cF ) )
      & ( ( cR @ cD @ cE )
        | ( cG @ cD @ cE ) )
      & ( ( cR @ cD @ cF )
        | ( cG @ cD @ cF ) )
      & ( ( cR @ cE @ cF )
        | ( cG @ cE @ cF ) ) )
   => ( ? [Xa: $i,Xb: $i,Xc: $i] :
          ( ( cR @ Xb @ Xc )
          & ( cR @ Xa @ Xc )
          & ( cR @ Xa @ Xb ) )
      | ? [Xa: $i,Xb: $i,Xc: $i] :
          ( ( cG @ Xb @ Xc )
          & ( cG @ Xa @ Xc )
          & ( cG @ Xa @ Xb ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ( cR @ cA @ cB )
          | ( cG @ cA @ cB ) )
        & ( ( cR @ cA @ cC )
          | ( cG @ cA @ cC ) )
        & ( ( cR @ cA @ cD )
          | ( cG @ cA @ cD ) )
        & ( ( cR @ cA @ cE )
          | ( cG @ cA @ cE ) )
        & ( ( cR @ cA @ cF )
          | ( cG @ cA @ cF ) )
        & ( ( cR @ cB @ cC )
          | ( cG @ cB @ cC ) )
        & ( ( cR @ cB @ cD )
          | ( cG @ cB @ cD ) )
        & ( ( cR @ cB @ cE )
          | ( cG @ cB @ cE ) )
        & ( ( cR @ cB @ cF )
          | ( cG @ cB @ cF ) )
        & ( ( cR @ cC @ cD )
          | ( cG @ cC @ cD ) )
        & ( ( cR @ cC @ cE )
          | ( cG @ cC @ cE ) )
        & ( ( cR @ cC @ cF )
          | ( cG @ cC @ cF ) )
        & ( ( cR @ cD @ cE )
          | ( cG @ cD @ cE ) )
        & ( ( cR @ cD @ cF )
          | ( cG @ cD @ cF ) )
        & ( ( cR @ cE @ cF )
          | ( cG @ cE @ cF ) ) )
     => ( ? [Xa: $i,Xb: $i,Xc: $i] :
            ( ( cR @ Xb @ Xc )
            & ( cR @ Xa @ Xc )
            & ( cR @ Xa @ Xb ) )
        | ? [Xa: $i,Xb: $i,Xc: $i] :
            ( ( cG @ Xb @ Xc )
            & ( cG @ Xa @ Xc )
            & ( cG @ Xa @ Xb ) ) ) ),
    inference('cnf.neg',[status(esa)],[cSIX_THEOREM_B]) ).

thf(zip_derived_cl13,plain,
    ( ( cR @ cD @ cF )
    | ( cG @ cD @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ( ( cR @ cE @ cF )
    | ( cG @ cE @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12,plain,
    ( ( cR @ cD @ cE )
    | ( cG @ cD @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cE )
      | ~ ( cR @ cE @ X0 )
      | ~ ( cR @ cD @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl15]) ).

thf(zip_derived_cl109,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cR @ cD @ cF )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).

thf(zip_derived_cl143,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl109]) ).

thf(zip_derived_cl11,plain,
    ( ( cR @ cC @ cF )
    | ( cG @ cC @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_001,plain,
    ( ( cR @ cD @ cF )
    | ( cG @ cD @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9,plain,
    ( ( cR @ cC @ cD )
    | ( cG @ cC @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_002,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).

thf(zip_derived_cl104,plain,
    ( ( cG @ cD @ cF )
    | ~ ( cR @ cC @ cF )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl43]) ).

thf(zip_derived_cl139,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl104]) ).

thf(zip_derived_cl16,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl248,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cC @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl16]) ).

thf(zip_derived_cl352,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ~ ( cG @ cC @ cE )
    | ( cG @ cC @ cF )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl248]) ).

thf(zip_derived_cl354,plain,
    ( ( cG @ cC @ cF )
    | ~ ( cG @ cC @ cE )
    | ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl11_003,plain,
    ( ( cR @ cC @ cF )
    | ( cG @ cC @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_004,plain,
    ( ( cR @ cE @ cF )
    | ( cG @ cE @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    ( ( cR @ cC @ cE )
    | ( cG @ cC @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_005,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ~ ( cR @ cE @ X0 )
      | ~ ( cR @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl15]) ).

thf(zip_derived_cl107,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cR @ cC @ cF )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl45]) ).

thf(zip_derived_cl141,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl107]) ).

thf(zip_derived_cl439,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl354,zip_derived_cl141]) ).

thf(zip_derived_cl439_006,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl354,zip_derived_cl141]) ).

thf(zip_derived_cl143_007,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl109]) ).

thf(zip_derived_cl8,plain,
    ( ( cR @ cB @ cF )
    | ( cG @ cB @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_008,plain,
    ( ( cR @ cD @ cF )
    | ( cG @ cD @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ( ( cR @ cB @ cD )
    | ( cG @ cB @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_009,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).

thf(zip_derived_cl92,plain,
    ( ( cG @ cD @ cF )
    | ~ ( cR @ cB @ cF )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl23]) ).

thf(zip_derived_cl133,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl92]) ).

thf(zip_derived_cl16_010,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl215,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cB @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl334,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cB @ cF )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl215]) ).

thf(zip_derived_cl336,plain,
    ( ( cG @ cB @ cF )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl334]) ).

thf(zip_derived_cl8_011,plain,
    ( ( cR @ cB @ cF )
    | ( cG @ cB @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_012,plain,
    ( ( cR @ cE @ cF )
    | ( cG @ cE @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ( ( cR @ cB @ cE )
    | ( cG @ cB @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_013,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ~ ( cR @ cE @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl15]) ).

thf(zip_derived_cl99,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cR @ cB @ cF )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl38]) ).

thf(zip_derived_cl135,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl99]) ).

thf(zip_derived_cl427,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl135]) ).

thf(zip_derived_cl1,plain,
    ( ( cR @ cA @ cC )
    | ( cG @ cA @ cC ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ( ( cR @ cB @ cC )
    | ( cG @ cB @ cC ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ( ( cR @ cA @ cB )
    | ( cG @ cA @ cB ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cB )
      | ~ ( cR @ cB @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl63,plain,
    ( ( cG @ cB @ cC )
    | ~ ( cR @ cA @ cC )
    | ( cG @ cA @ cB ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).

thf(zip_derived_cl81,plain,
    ( ( cG @ cA @ cC )
    | ( cG @ cA @ cB )
    | ( cG @ cB @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl63]) ).

thf(zip_derived_cl16_015,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl131,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cC )
      | ( cG @ cA @ cC )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl81,zip_derived_cl16]) ).

thf(zip_derived_cl431,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cA @ cC )
    | ( cG @ cB @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl427,zip_derived_cl131]) ).

thf(zip_derived_cl143_016,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl109]) ).

thf(zip_derived_cl4,plain,
    ( ( cR @ cA @ cF )
    | ( cG @ cA @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13_017,plain,
    ( ( cR @ cD @ cF )
    | ( cG @ cD @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ( cR @ cA @ cD )
    | ( cG @ cA @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(zip_derived_cl78,plain,
    ( ( cG @ cD @ cF )
    | ~ ( cR @ cA @ cF )
    | ( cG @ cA @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl19]) ).

thf(zip_derived_cl119,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl78]) ).

thf(zip_derived_cl16_019,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl16]) ).

thf(zip_derived_cl271,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl143,zip_derived_cl159]) ).

thf(zip_derived_cl277,plain,
    ( ( cG @ cA @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl271]) ).

thf(zip_derived_cl4_020,plain,
    ( ( cR @ cA @ cF )
    | ( cG @ cA @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14_021,plain,
    ( ( cR @ cE @ cF )
    | ( cG @ cE @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( cR @ cA @ cE )
    | ( cG @ cA @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cE )
      | ~ ( cR @ cE @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl15]) ).

thf(zip_derived_cl83,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cR @ cA @ cF )
    | ( cG @ cA @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl20]) ).

thf(zip_derived_cl121,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl83]) ).

thf(zip_derived_cl367,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl277,zip_derived_cl121]) ).

thf(zip_derived_cl873,plain,
    ( ( cG @ cB @ cC )
    | ( cG @ cA @ cC )
    | ( cG @ cE @ cF )
    | ( cG @ cD @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl431,zip_derived_cl367]) ).

thf(zip_derived_cl16_023,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl880,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cE @ cF )
      | ( cG @ cB @ cC )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl873,zip_derived_cl16]) ).

thf(zip_derived_cl1185,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cB @ cC )
    | ( cG @ cE @ cF )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl880]) ).

thf(zip_derived_cl1192,plain,
    ( ( cG @ cB @ cC )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cD @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1185]) ).

thf(zip_derived_cl367_024,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl277,zip_derived_cl121]) ).

thf(zip_derived_cl1196,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cB @ cC ) ),
    inference(clc,[status(thm)],[zip_derived_cl1192,zip_derived_cl367]) ).

thf(zip_derived_cl16_025,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1201,plain,
    ! [X0: $i] :
      ( ( cG @ cE @ cF )
      | ( cG @ cD @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1196,zip_derived_cl16]) ).

thf(zip_derived_cl1210,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl439,zip_derived_cl1201]) ).

thf(zip_derived_cl1217,plain,
    ( ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cD @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1210]) ).

thf(zip_derived_cl427_026,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl336,zip_derived_cl135]) ).

thf(zip_derived_cl1221,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl135_027,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl99]) ).

thf(zip_derived_cl4_028,plain,
    ( ( cR @ cA @ cF )
    | ( cG @ cA @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8_029,plain,
    ( ( cR @ cB @ cF )
    | ( cG @ cB @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_030,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cB )
      | ~ ( cR @ cB @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl66,plain,
    ( ( cG @ cB @ cF )
    | ~ ( cR @ cA @ cF )
    | ( cG @ cA @ cB ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl17]) ).

thf(zip_derived_cl101,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cB )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl66]) ).

thf(zip_derived_cl16_031,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl149,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl16]) ).

thf(zip_derived_cl223,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl135,zip_derived_cl149]) ).

thf(zip_derived_cl233,plain,
    ( ( cG @ cA @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cB @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl121_032,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl83]) ).

thf(zip_derived_cl343,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl233,zip_derived_cl121]) ).

thf(zip_derived_cl1221_033,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl343_034,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl233,zip_derived_cl121]) ).

thf(zip_derived_cl1221_035,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl1221_036,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl141_037,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl107]) ).

thf(zip_derived_cl8_038,plain,
    ( ( cR @ cB @ cF )
    | ( cG @ cB @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11_039,plain,
    ( ( cR @ cC @ cF )
    | ( cG @ cC @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5_040,plain,
    ( ( cR @ cB @ cC )
    | ( cG @ cB @ cC ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl15]) ).

thf(zip_derived_cl87,plain,
    ( ( cG @ cC @ cF )
    | ~ ( cR @ cB @ cF )
    | ( cG @ cB @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl22]) ).

thf(zip_derived_cl127,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cC )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl87]) ).

thf(zip_derived_cl16_042,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cB @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl16]) ).

thf(zip_derived_cl306,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cB @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl191]) ).

thf(zip_derived_cl311,plain,
    ( ( cG @ cB @ cF )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cC @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl306]) ).

thf(zip_derived_cl135_043,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl99]) ).

thf(zip_derived_cl404,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl135]) ).

thf(zip_derived_cl2_044,plain,
    ( ( cR @ cA @ cD )
    | ( cG @ cA @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6_045,plain,
    ( ( cR @ cB @ cD )
    | ( cG @ cB @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_046,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cB )
      | ~ ( cR @ cB @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl64,plain,
    ( ( cG @ cB @ cD )
    | ~ ( cR @ cA @ cD )
    | ( cG @ cA @ cB ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl17]) ).

thf(zip_derived_cl95,plain,
    ( ( cG @ cA @ cD )
    | ( cG @ cA @ cB )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl64]) ).

thf(zip_derived_cl16_047,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl145,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cD )
      | ( cG @ cA @ cD )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl16]) ).

thf(zip_derived_cl407,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cA @ cD )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl404,zip_derived_cl145]) ).

thf(zip_derived_cl141_048,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl107]) ).

thf(zip_derived_cl4_049,plain,
    ( ( cR @ cA @ cF )
    | ( cG @ cA @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11_050,plain,
    ( ( cR @ cC @ cF )
    | ( cG @ cC @ cF ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1_051,plain,
    ( ( cR @ cA @ cC )
    | ( cG @ cA @ cC ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15_052,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cR @ X0 @ X1 )
      | ~ ( cR @ X0 @ X2 )
      | ~ ( cR @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).

thf(zip_derived_cl73,plain,
    ( ( cG @ cC @ cF )
    | ~ ( cR @ cA @ cF )
    | ( cG @ cA @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl18]) ).

thf(zip_derived_cl115,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cC )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl73]) ).

thf(zip_derived_cl16_053,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl155,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl16]) ).

thf(zip_derived_cl255,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl141,zip_derived_cl155]) ).

thf(zip_derived_cl263,plain,
    ( ( cG @ cA @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cC @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl255]) ).

thf(zip_derived_cl121_054,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cE )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl83]) ).

thf(zip_derived_cl361,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl263,zip_derived_cl121]) ).

thf(zip_derived_cl780,plain,
    ( ( cG @ cB @ cD )
    | ( cG @ cA @ cD )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl407,zip_derived_cl361]) ).

thf(zip_derived_cl16_055,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl788,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cE @ cF )
      | ( cG @ cB @ cD )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl780,zip_derived_cl16]) ).

thf(zip_derived_cl1222,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl788]) ).

thf(zip_derived_cl1240,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cB @ cD )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1222]) ).

thf(zip_derived_cl361_056,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl263,zip_derived_cl121]) ).

thf(zip_derived_cl1333,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1240,zip_derived_cl361]) ).

thf(zip_derived_cl16_057,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1340,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cE @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1333,zip_derived_cl16]) ).

thf(zip_derived_cl1353,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl1340]) ).

thf(zip_derived_cl1355,plain,
    ( ( cG @ cC @ cF )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1353]) ).

thf(zip_derived_cl404_058,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl311,zip_derived_cl135]) ).

thf(zip_derived_cl1357,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1355,zip_derived_cl404]) ).

thf(zip_derived_cl2_059,plain,
    ( ( cR @ cA @ cD )
    | ( cG @ cA @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_060,plain,
    ( ( cR @ cC @ cD )
    | ( cG @ cC @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18_061,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).

thf(zip_derived_cl71,plain,
    ( ( cG @ cC @ cD )
    | ~ ( cR @ cA @ cD )
    | ( cG @ cA @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl18]) ).

thf(zip_derived_cl111,plain,
    ( ( cG @ cA @ cD )
    | ( cG @ cA @ cC )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl71]) ).

thf(zip_derived_cl16_062,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl151,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ( cG @ cA @ cD )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl111,zip_derived_cl16]) ).

thf(zip_derived_cl1366,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cA @ cD )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1357,zip_derived_cl151]) ).

thf(zip_derived_cl1401,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cA @ cD )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl1366]) ).

thf(zip_derived_cl1411,plain,
    ( ( cG @ cA @ cD )
    | ( cG @ cC @ cD )
    | ( cG @ cE @ cF )
    | ( cG @ cB @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1401]) ).

thf(zip_derived_cl1221_063,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl343_064,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl233,zip_derived_cl121]) ).

thf(zip_derived_cl1221_065,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cE @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1217,zip_derived_cl427]) ).

thf(zip_derived_cl6_066,plain,
    ( ( cR @ cB @ cD )
    | ( cG @ cB @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl9_067,plain,
    ( ( cR @ cC @ cD )
    | ( cG @ cC @ cD ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_068,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl15]) ).

thf(zip_derived_cl85,plain,
    ( ( cG @ cC @ cD )
    | ~ ( cR @ cB @ cD )
    | ( cG @ cB @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl22]) ).

thf(zip_derived_cl123,plain,
    ( ( cG @ cB @ cD )
    | ( cG @ cB @ cC )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl85]) ).

thf(zip_derived_cl145_069,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cD )
      | ( cG @ cA @ cD )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl16]) ).

thf(zip_derived_cl165,plain,
    ( ( cG @ cC @ cD )
    | ( cG @ cB @ cD )
    | ~ ( cG @ cA @ cC )
    | ( cG @ cA @ cD )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl145]) ).

thf(zip_derived_cl173,plain,
    ( ( cG @ cA @ cD )
    | ~ ( cG @ cA @ cC )
    | ( cG @ cB @ cD )
    | ( cG @ cC @ cD ) ),
    inference(simplify,[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl111_070,plain,
    ( ( cG @ cA @ cD )
    | ( cG @ cA @ cC )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl71]) ).

thf(zip_derived_cl279,plain,
    ( ( cG @ cC @ cD )
    | ( cG @ cB @ cD )
    | ( cG @ cA @ cD ) ),
    inference(clc,[status(thm)],[zip_derived_cl173,zip_derived_cl111]) ).

thf(zip_derived_cl16_071,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl280,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cD )
      | ( cG @ cC @ cD )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl279,zip_derived_cl16]) ).

thf(zip_derived_cl1225,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl280]) ).

thf(zip_derived_cl1258,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cC @ cD )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl1225]) ).

thf(zip_derived_cl1268,plain,
    ( ( cG @ cC @ cD )
    | ( cG @ cB @ cD )
    | ( cG @ cE @ cF )
    | ( cG @ cB @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1258]) ).

thf(zip_derived_cl1357_072,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1355,zip_derived_cl404]) ).

thf(zip_derived_cl123_073,plain,
    ( ( cG @ cB @ cD )
    | ( cG @ cB @ cC )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl85]) ).

thf(zip_derived_cl16_074,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl167,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ( cG @ cB @ cD )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl123,zip_derived_cl16]) ).

thf(zip_derived_cl1363,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1357,zip_derived_cl167]) ).

thf(zip_derived_cl1463,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cC @ cD ) ),
    inference(clc,[status(thm)],[zip_derived_cl1268,zip_derived_cl1363]) ).

thf(zip_derived_cl16_075,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1470,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ( cG @ cE @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1463,zip_derived_cl16]) ).

thf(zip_derived_cl1478,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl1470]) ).

thf(zip_derived_cl1480,plain,
    ( ( cG @ cC @ cD )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1478]) ).

thf(zip_derived_cl1493,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cA @ cD ) ),
    inference(clc,[status(thm)],[zip_derived_cl1411,zip_derived_cl1480]) ).

thf(zip_derived_cl16_076,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1502,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ( cG @ cE @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1493,zip_derived_cl16]) ).

thf(zip_derived_cl1514,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl1502]) ).

thf(zip_derived_cl1516,plain,
    ( ( cG @ cC @ cD )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1514]) ).

thf(zip_derived_cl1520,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cE @ cF )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl343,zip_derived_cl1516]) ).

thf(zip_derived_cl1528,plain,
    ( ( cG @ cC @ cD )
    | ( cG @ cE @ cF )
    | ( cG @ cB @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1520]) ).

thf(zip_derived_cl1480_077,plain,
    ( ( cG @ cC @ cD )
    | ~ ( cG @ cB @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1478]) ).

thf(zip_derived_cl1530,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cD ) ),
    inference(clc,[status(thm)],[zip_derived_cl1528,zip_derived_cl1480]) ).

thf(zip_derived_cl16_078,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1541,plain,
    ! [X0: $i] :
      ( ( cG @ cE @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1530,zip_derived_cl16]) ).

thf(zip_derived_cl1549,plain,
    ( ( cG @ cE @ cF )
    | ~ ( cG @ cC @ cF )
    | ( cG @ cE @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl1541]) ).

thf(zip_derived_cl1551,plain,
    ( ~ ( cG @ cC @ cF )
    | ( cG @ cE @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1549]) ).

thf(zip_derived_cl1357_079,plain,
    ( ( cG @ cE @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl1355,zip_derived_cl404]) ).

thf(zip_derived_cl1553,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl1553_080,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl7_081,plain,
    ( ( cR @ cB @ cE )
    | ( cG @ cB @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_082,plain,
    ( ( cR @ cD @ cE )
    | ( cG @ cD @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23_083,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl15]) ).

thf(zip_derived_cl91,plain,
    ( ( cG @ cD @ cE )
    | ~ ( cR @ cB @ cE )
    | ( cG @ cB @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl23]) ).

thf(zip_derived_cl129,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cB @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl91]) ).

thf(zip_derived_cl3_084,plain,
    ( ( cR @ cA @ cE )
    | ( cG @ cA @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7_085,plain,
    ( ( cR @ cB @ cE )
    | ( cG @ cB @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17_086,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cB )
      | ~ ( cR @ cB @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl15]) ).

thf(zip_derived_cl65,plain,
    ( ( cG @ cB @ cE )
    | ~ ( cR @ cA @ cE )
    | ( cG @ cA @ cB ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl17]) ).

thf(zip_derived_cl97,plain,
    ( ( cG @ cA @ cE )
    | ( cG @ cA @ cB )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl65]) ).

thf(zip_derived_cl16_087,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl147,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ( cG @ cA @ cE )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl16]) ).

thf(zip_derived_cl200,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cB @ cE )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cA @ cE )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl129,zip_derived_cl147]) ).

thf(zip_derived_cl209,plain,
    ( ( cG @ cA @ cE )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cB @ cE )
    | ( cG @ cD @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl200]) ).

thf(zip_derived_cl3_088,plain,
    ( ( cR @ cA @ cE )
    | ( cG @ cA @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_089,plain,
    ( ( cR @ cD @ cE )
    | ( cG @ cD @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19_090,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl15]) ).

thf(zip_derived_cl77,plain,
    ( ( cG @ cD @ cE )
    | ~ ( cR @ cA @ cE )
    | ( cG @ cA @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl19]) ).

thf(zip_derived_cl117,plain,
    ( ( cG @ cA @ cE )
    | ( cG @ cA @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl77]) ).

thf(zip_derived_cl331,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cB @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl209,zip_derived_cl117]) ).

thf(zip_derived_cl10_091,plain,
    ( ( cR @ cC @ cE )
    | ( cG @ cC @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl12_092,plain,
    ( ( cR @ cD @ cE )
    | ( cG @ cD @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl43_093,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cD )
      | ~ ( cR @ cD @ X0 )
      | ~ ( cR @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl15]) ).

thf(zip_derived_cl103,plain,
    ( ( cG @ cD @ cE )
    | ~ ( cR @ cC @ cE )
    | ( cG @ cC @ cD ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl43]) ).

thf(zip_derived_cl137,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cC @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl103]) ).

thf(zip_derived_cl7_094,plain,
    ( ( cR @ cB @ cE )
    | ( cG @ cB @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_095,plain,
    ( ( cR @ cC @ cE )
    | ( cG @ cC @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl22_096,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl15]) ).

thf(zip_derived_cl86,plain,
    ( ( cG @ cC @ cE )
    | ~ ( cR @ cB @ cE )
    | ( cG @ cB @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl22]) ).

thf(zip_derived_cl125,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cB @ cC )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl86]) ).

thf(zip_derived_cl16_097,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl179,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ( cG @ cB @ cE )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl16]) ).

thf(zip_derived_cl297,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ~ ( cG @ cB @ cD )
    | ( cG @ cB @ cE )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl179]) ).

thf(zip_derived_cl302,plain,
    ( ( cG @ cB @ cE )
    | ~ ( cG @ cB @ cD )
    | ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl297]) ).

thf(zip_derived_cl129_098,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cB @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl91]) ).

thf(zip_derived_cl381,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ( cG @ cB @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl302,zip_derived_cl129]) ).

thf(zip_derived_cl149_099,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl16]) ).

thf(zip_derived_cl382,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cD @ cE )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl149]) ).

thf(zip_derived_cl137_100,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cC @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl103]) ).

thf(zip_derived_cl3_101,plain,
    ( ( cR @ cA @ cE )
    | ( cG @ cA @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10_102,plain,
    ( ( cR @ cC @ cE )
    | ( cG @ cC @ cE ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18_103,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cC )
      | ~ ( cR @ cC @ X0 )
      | ~ ( cR @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl15]) ).

thf(zip_derived_cl72,plain,
    ( ( cG @ cC @ cE )
    | ~ ( cR @ cA @ cE )
    | ( cG @ cA @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl18]) ).

thf(zip_derived_cl113,plain,
    ( ( cG @ cA @ cE )
    | ( cG @ cA @ cC )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl72]) ).

thf(zip_derived_cl16_104,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl153,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ( cG @ cA @ cE )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl113,zip_derived_cl16]) ).

thf(zip_derived_cl236,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cA @ cE )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl137,zip_derived_cl153]) ).

thf(zip_derived_cl243,plain,
    ( ( cG @ cA @ cE )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl236]) ).

thf(zip_derived_cl117_105,plain,
    ( ( cG @ cA @ cE )
    | ( cG @ cA @ cD )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl77]) ).

thf(zip_derived_cl347,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl243,zip_derived_cl117]) ).

thf(zip_derived_cl611,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cA @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cC @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl382,zip_derived_cl347]) ).

thf(zip_derived_cl1553_106,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl347_107,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl243,zip_derived_cl117]) ).

thf(zip_derived_cl16_108,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl348,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ( cG @ cD @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl347,zip_derived_cl16]) ).

thf(zip_derived_cl1556,plain,
    ( ~ ( cG @ cA @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl348]) ).

thf(zip_derived_cl1571,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cD @ cE )
    | ( cG @ cB @ cF )
    | ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl611,zip_derived_cl1556]) ).

thf(zip_derived_cl1579,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cC @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1571]) ).

thf(zip_derived_cl1553_109,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl381_110,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cC @ cE )
    | ( cG @ cB @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl302,zip_derived_cl129]) ).

thf(zip_derived_cl16_111,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl386,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ( cG @ cD @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl381,zip_derived_cl16]) ).

thf(zip_derived_cl1555,plain,
    ( ~ ( cG @ cB @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl386]) ).

thf(zip_derived_cl1602,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1579,zip_derived_cl1555]) ).

thf(zip_derived_cl155_112,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl16]) ).

thf(zip_derived_cl1608,plain,
    ( ( cG @ cD @ cE )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1602,zip_derived_cl155]) ).

thf(zip_derived_cl1553_113,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl1602_114,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1579,zip_derived_cl1555]) ).

thf(zip_derived_cl16_115,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1611,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1602,zip_derived_cl16]) ).

thf(zip_derived_cl1621,plain,
    ( ~ ( cG @ cC @ cF )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1611]) ).

thf(zip_derived_cl1649,plain,
    ( ( cG @ cA @ cF )
    | ~ ( cG @ cA @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1608,zip_derived_cl1621]) ).

thf(zip_derived_cl1650,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cD @ cE )
    | ( cG @ cD @ cE )
    | ( cG @ cA @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl1649]) ).

thf(zip_derived_cl1658,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cB @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1650]) ).

thf(zip_derived_cl1553_116,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl331_117,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cB @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl209,zip_derived_cl117]) ).

thf(zip_derived_cl16_118,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl332,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ( cG @ cD @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl331,zip_derived_cl16]) ).

thf(zip_derived_cl1557,plain,
    ( ~ ( cG @ cA @ cF )
    | ( cG @ cD @ cE )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl332]) ).

thf(zip_derived_cl1664,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1658,zip_derived_cl1557]) ).

thf(zip_derived_cl16_119,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1670,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl16]) ).

thf(zip_derived_cl1691,plain,
    ( ~ ( cG @ cB @ cF )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1670]) ).

thf(zip_derived_cl1664_120,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1658,zip_derived_cl1557]) ).

thf(zip_derived_cl1602_121,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1579,zip_derived_cl1555]) ).

thf(zip_derived_cl191_122,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cB @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl16]) ).

thf(zip_derived_cl1605,plain,
    ( ( cG @ cD @ cE )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cB @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1602,zip_derived_cl191]) ).

thf(zip_derived_cl1621_123,plain,
    ( ~ ( cG @ cC @ cF )
    | ( cG @ cD @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1611]) ).

thf(zip_derived_cl1635,plain,
    ( ( cG @ cB @ cF )
    | ~ ( cG @ cB @ cE )
    | ( cG @ cD @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1605,zip_derived_cl1621]) ).

thf(zip_derived_cl1665,plain,
    ( ( cG @ cD @ cE )
    | ( cG @ cD @ cE )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1664,zip_derived_cl1635]) ).

thf(zip_derived_cl1677,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cD @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1665]) ).

thf(zip_derived_cl1693,plain,
    cG @ cD @ cE,
    inference(clc,[status(thm)],[zip_derived_cl1691,zip_derived_cl1677]) ).

thf(zip_derived_cl159_124,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl119,zip_derived_cl16]) ).

thf(zip_derived_cl1553_125,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl1693_126,plain,
    cG @ cD @ cE,
    inference(clc,[status(thm)],[zip_derived_cl1691,zip_derived_cl1677]) ).

thf(zip_derived_cl16_127,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1699,plain,
    ! [X0: $i] :
      ( ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cD @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl16]) ).

thf(zip_derived_cl1706,plain,
    ~ ( cG @ cD @ cF ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1699]) ).

thf(zip_derived_cl1715,plain,
    ! [X0: $i] :
      ( ( cG @ cA @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl1706]) ).

thf(zip_derived_cl1762,plain,
    ( ~ ( cG @ cA @ cE )
    | ( cG @ cA @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl1715]) ).

thf(zip_derived_cl125_128,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cB @ cC )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl86]) ).

thf(zip_derived_cl147_129,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ( cG @ cA @ cE )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl16]) ).

thf(zip_derived_cl176,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cE )
    | ~ ( cG @ cA @ cC )
    | ( cG @ cA @ cE )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl125,zip_derived_cl147]) ).

thf(zip_derived_cl185,plain,
    ( ( cG @ cA @ cE )
    | ~ ( cG @ cA @ cC )
    | ( cG @ cB @ cE )
    | ( cG @ cC @ cE ) ),
    inference(simplify,[status(thm)],[zip_derived_cl176]) ).

thf(zip_derived_cl113_130,plain,
    ( ( cG @ cA @ cE )
    | ( cG @ cA @ cC )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl72]) ).

thf(zip_derived_cl293,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl185,zip_derived_cl113]) ).

thf(zip_derived_cl1765,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cB @ cE )
    | ( cG @ cC @ cE ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1762,zip_derived_cl293]) ).

thf(zip_derived_cl1553_131,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl293_132,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cE )
    | ( cG @ cA @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl185,zip_derived_cl113]) ).

thf(zip_derived_cl16_133,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ( cG @ cC @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl293,zip_derived_cl16]) ).

thf(zip_derived_cl1558,plain,
    ( ~ ( cG @ cA @ cF )
    | ( cG @ cC @ cE )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl294]) ).

thf(zip_derived_cl1931,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1765,zip_derived_cl1558]) ).

thf(zip_derived_cl1693_134,plain,
    cG @ cD @ cE,
    inference(clc,[status(thm)],[zip_derived_cl1691,zip_derived_cl1677]) ).

thf(zip_derived_cl215_135,plain,
    ! [X0: $i] :
      ( ( cG @ cD @ cF )
      | ( cG @ cB @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl16]) ).

thf(zip_derived_cl1706_136,plain,
    ~ ( cG @ cD @ cF ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1699]) ).

thf(zip_derived_cl1718,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cF )
      | ~ ( cG @ cD @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl1706]) ).

thf(zip_derived_cl1784,plain,
    ( ~ ( cG @ cB @ cE )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1693,zip_derived_cl1718]) ).

thf(zip_derived_cl1933,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1931,zip_derived_cl1784]) ).

thf(zip_derived_cl1553_137,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl1931_138,plain,
    ( ( cG @ cC @ cE )
    | ( cG @ cB @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1765,zip_derived_cl1558]) ).

thf(zip_derived_cl16_139,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1937,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1931,zip_derived_cl16]) ).

thf(zip_derived_cl1958,plain,
    ( ~ ( cG @ cB @ cF )
    | ( cG @ cC @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1937]) ).

thf(zip_derived_cl1960,plain,
    cG @ cC @ cE,
    inference(clc,[status(thm)],[zip_derived_cl1933,zip_derived_cl1958]) ).

thf(zip_derived_cl16_140,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1961,plain,
    ! [X0: $i] :
      ( ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cC @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1960,zip_derived_cl16]) ).

thf(zip_derived_cl1963,plain,
    ~ ( cG @ cC @ cF ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1961]) ).

thf(zip_derived_cl1553_141,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl1553_142,plain,
    cG @ cE @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1551,zip_derived_cl1357]) ).

thf(zip_derived_cl139_143,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl104]) ).

thf(zip_derived_cl191_144,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cB @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl16]) ).

thf(zip_derived_cl304,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ~ ( cG @ cB @ cD )
    | ( cG @ cB @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl191]) ).

thf(zip_derived_cl310,plain,
    ( ( cG @ cB @ cF )
    | ~ ( cG @ cB @ cD )
    | ( cG @ cC @ cF )
    | ( cG @ cD @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl304]) ).

thf(zip_derived_cl133_145,plain,
    ( ( cG @ cB @ cF )
    | ( cG @ cB @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl92]) ).

thf(zip_derived_cl393,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl310,zip_derived_cl133]) ).

thf(zip_derived_cl147_146,plain,
    ! [X0: $i] :
      ( ( cG @ cB @ cE )
      | ( cG @ cA @ cE )
      | ~ ( cG @ cB @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl97,zip_derived_cl16]) ).

thf(zip_derived_cl395,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cD @ cF )
    | ~ ( cG @ cA @ cF )
    | ( cG @ cA @ cE )
    | ( cG @ cB @ cE ) ),
    inference('sup-',[status(thm)],[zip_derived_cl393,zip_derived_cl147]) ).

thf(zip_derived_cl139_147,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cC @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl104]) ).

thf(zip_derived_cl155_148,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cA @ cF )
      | ~ ( cG @ cC @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl115,zip_derived_cl16]) ).

thf(zip_derived_cl245,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cA @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl155]) ).

thf(zip_derived_cl253,plain,
    ( ( cG @ cA @ cF )
    | ~ ( cG @ cA @ cD )
    | ( cG @ cC @ cF )
    | ( cG @ cD @ cF ) ),
    inference(simplify,[status(thm)],[zip_derived_cl245]) ).

thf(zip_derived_cl119_149,plain,
    ( ( cG @ cA @ cF )
    | ( cG @ cA @ cD )
    | ( cG @ cD @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl78]) ).

thf(zip_derived_cl357,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl253,zip_derived_cl119]) ).

thf(zip_derived_cl659,plain,
    ( ( cG @ cB @ cE )
    | ( cG @ cA @ cE )
    | ( cG @ cD @ cF )
    | ( cG @ cC @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl395,zip_derived_cl357]) ).

thf(zip_derived_cl16_150,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl664,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ( cG @ cD @ cF )
      | ( cG @ cB @ cE )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cA @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl659,zip_derived_cl16]) ).

thf(zip_derived_cl1554,plain,
    ( ~ ( cG @ cA @ cF )
    | ( cG @ cB @ cE )
    | ( cG @ cD @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl664]) ).

thf(zip_derived_cl357_151,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cA @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl253,zip_derived_cl119]) ).

thf(zip_derived_cl1623,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cD @ cF )
    | ( cG @ cB @ cE ) ),
    inference(clc,[status(thm)],[zip_derived_cl1554,zip_derived_cl357]) ).

thf(zip_derived_cl1706_152,plain,
    ~ ( cG @ cD @ cF ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1699]) ).

thf(zip_derived_cl1734,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cB @ cE ) ),
    inference(demod,[status(thm)],[zip_derived_cl1623,zip_derived_cl1706]) ).

thf(zip_derived_cl16_153,plain,
    ! [X3: $i,X4: $i,X5: $i] :
      ( ~ ( cG @ X3 @ X4 )
      | ~ ( cG @ X3 @ X5 )
      | ~ ( cG @ X4 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1840,plain,
    ! [X0: $i] :
      ( ( cG @ cC @ cF )
      | ~ ( cG @ cE @ X0 )
      | ~ ( cG @ cB @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1734,zip_derived_cl16]) ).

thf(zip_derived_cl1866,plain,
    ( ~ ( cG @ cB @ cF )
    | ( cG @ cC @ cF ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1840]) ).

thf(zip_derived_cl393_154,plain,
    ( ( cG @ cD @ cF )
    | ( cG @ cC @ cF )
    | ( cG @ cB @ cF ) ),
    inference(clc,[status(thm)],[zip_derived_cl310,zip_derived_cl133]) ).

thf(zip_derived_cl1706_155,plain,
    ~ ( cG @ cD @ cF ),
    inference('sup-',[status(thm)],[zip_derived_cl1553,zip_derived_cl1699]) ).

thf(zip_derived_cl1725,plain,
    ( ( cG @ cC @ cF )
    | ( cG @ cB @ cF ) ),
    inference(demod,[status(thm)],[zip_derived_cl393,zip_derived_cl1706]) ).

thf(zip_derived_cl1868,plain,
    cG @ cC @ cF,
    inference(clc,[status(thm)],[zip_derived_cl1866,zip_derived_cl1725]) ).

thf(zip_derived_cl1965,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl1963,zip_derived_cl1868]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SYO179^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oP5P2co2AY true
% 0.16/0.36  % Computer : n003.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 06:04:08 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.16/0.36  % Running portfolio for 300 s
% 0.16/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.37  % Number of cores: 8
% 0.16/0.37  % Python version: Python 3.6.8
% 0.16/0.37  % Running in HO mode
% 0.23/0.69  % Total configuration time : 828
% 0.23/0.69  % Estimated wc time : 1656
% 0.23/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.14/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.14/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.14/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.14/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.14/0.79  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.14/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.45/1.35  % Solved by lams/40_noforms.sh.
% 1.45/1.35  % done 573 iterations in 0.522s
% 1.45/1.35  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.45/1.35  % SZS output start Refutation
% See solution above
% 1.45/1.36  
% 1.45/1.36  
% 1.45/1.36  % Terminating...
% 5.99/1.41  % Runner terminated.
% 5.99/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------