TSTP Solution File: GRA067^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRA067^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n007.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 : Mon May 20 20:41:13 EDT 2024

% Result   : Theorem 9.47s 2.09s
% Output   : CNFRefutation 9.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   67 (   8 unt;  43 typ;   0 def)
%            Number of atoms       : 1068 (   5 equ;   0 cnn)
%            Maximal formula atoms :  819 (  44 avg)
%            Number of connectives : 5125 ( 861   ~; 643   |; 888   &;2719   @)
%                                         (   2 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :  279 (  45 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :  967 ( 967   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   46 (  43 usr;   6 con; 0-3 aty)
%            Number of variables   :  124 (   0   ^ 122   !;   2   ?; 124   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    epred1_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o ).

thf(decl_23,type,
    epred2_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o ).

thf(decl_24,type,
    epred3_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_25,type,
    epred4_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_26,type,
    epred5_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_27,type,
    epred6_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_28,type,
    epred7_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_29,type,
    epred8_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_30,type,
    epred9_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_31,type,
    epred10_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_32,type,
    epred11_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_33,type,
    epred12_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_34,type,
    epred13_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_35,type,
    epred14_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_36,type,
    epred15_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_37,type,
    epred16_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_38,type,
    epred17_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_39,type,
    epred18_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_40,type,
    epred19_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_41,type,
    epred20_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_42,type,
    epred21_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_43,type,
    epred22_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_44,type,
    epred23_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_45,type,
    epred24_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_46,type,
    epred25_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > $o > ( $o > $o ) > $o ).

thf(decl_47,type,
    epred26_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_48,type,
    epred27_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_49,type,
    epred28_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_50,type,
    epred29_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_51,type,
    epred30_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_52,type,
    epred31_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_53,type,
    epred32_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_54,type,
    epred33_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_55,type,
    epred34_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_56,type,
    epred35_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_57,type,
    epred36_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_58,type,
    epred37_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_59,type,
    epred38_1: ( ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o ).

thf(decl_308,type,
    esk249_0: $o ).

thf(decl_309,type,
    esk250_1: $o > $o ).

thf(decl_316,type,
    epred39_0: $o ).

thf(decl_317,type,
    epred40_0: $o ).

thf(decl_318,type,
    epred41_0: $o ).

thf(ramsey_l_4_14_256a,conjecture,
    ? [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
          ( ( X1 @ X2 @ X3 )
         => ( X1 @ X3 @ X2 ) )
      & ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X8 @ X4 )
            & ~ ( X8 @ X5 )
            & ~ ( X8 @ X6 )
            & ~ ( X8 @ X7 )
            & ~ ( X9 @ X4 )
            & ( X9 @ X5 )
            & ~ ( X9 @ X6 )
            & ~ ( X9 @ X7 )
            & ~ ( X10 @ X4 )
            & ~ ( X10 @ X5 )
            & ( X10 @ X6 )
            & ~ ( X10 @ X7 ) )
         => ( ~ ( X1 @ X5 @ X4 )
            | ~ ( X1 @ X6 @ X4 )
            | ~ ( X1 @ X6 @ X5 )
            | ~ ( X1 @ X7 @ X4 )
            | ~ ( X1 @ X7 @ X5 )
            | ~ ( X1 @ X7 @ X6 ) ) )
      & ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X8 @ X4 )
            & ~ ( X8 @ X5 )
            & ~ ( X8 @ X6 )
            & ~ ( X8 @ X7 )
            & ~ ( X8 @ X11 )
            & ~ ( X8 @ X12 )
            & ~ ( X8 @ X13 )
            & ~ ( X8 @ X14 )
            & ~ ( X8 @ X15 )
            & ~ ( X8 @ X16 )
            & ~ ( X8 @ X17 )
            & ~ ( X8 @ X18 )
            & ~ ( X8 @ X19 )
            & ~ ( X8 @ X20 )
            & ~ ( X9 @ X4 )
            & ( X9 @ X5 )
            & ~ ( X9 @ X6 )
            & ~ ( X9 @ X7 )
            & ~ ( X9 @ X11 )
            & ~ ( X9 @ X12 )
            & ~ ( X9 @ X13 )
            & ~ ( X9 @ X14 )
            & ~ ( X9 @ X15 )
            & ~ ( X9 @ X16 )
            & ~ ( X9 @ X17 )
            & ~ ( X9 @ X18 )
            & ~ ( X9 @ X19 )
            & ~ ( X9 @ X20 )
            & ~ ( X10 @ X4 )
            & ~ ( X10 @ X5 )
            & ( X10 @ X6 )
            & ~ ( X10 @ X7 )
            & ~ ( X10 @ X11 )
            & ~ ( X10 @ X12 )
            & ~ ( X10 @ X13 )
            & ~ ( X10 @ X14 )
            & ~ ( X10 @ X15 )
            & ~ ( X10 @ X16 )
            & ~ ( X10 @ X17 )
            & ~ ( X10 @ X18 )
            & ~ ( X10 @ X19 )
            & ~ ( X10 @ X20 )
            & ~ ( X21 @ X4 )
            & ~ ( X21 @ X5 )
            & ~ ( X21 @ X6 )
            & ( X21 @ X7 )
            & ~ ( X21 @ X11 )
            & ~ ( X21 @ X12 )
            & ~ ( X21 @ X13 )
            & ~ ( X21 @ X14 )
            & ~ ( X21 @ X15 )
            & ~ ( X21 @ X16 )
            & ~ ( X21 @ X17 )
            & ~ ( X21 @ X18 )
            & ~ ( X21 @ X19 )
            & ~ ( X21 @ X20 )
            & ~ ( X22 @ X4 )
            & ~ ( X22 @ X5 )
            & ~ ( X22 @ X6 )
            & ~ ( X22 @ X7 )
            & ( X22 @ X11 )
            & ~ ( X22 @ X12 )
            & ~ ( X22 @ X13 )
            & ~ ( X22 @ X14 )
            & ~ ( X22 @ X15 )
            & ~ ( X22 @ X16 )
            & ~ ( X22 @ X17 )
            & ~ ( X22 @ X18 )
            & ~ ( X22 @ X19 )
            & ~ ( X22 @ X20 )
            & ~ ( X23 @ X4 )
            & ~ ( X23 @ X5 )
            & ~ ( X23 @ X6 )
            & ~ ( X23 @ X7 )
            & ~ ( X23 @ X11 )
            & ( X23 @ X12 )
            & ~ ( X23 @ X13 )
            & ~ ( X23 @ X14 )
            & ~ ( X23 @ X15 )
            & ~ ( X23 @ X16 )
            & ~ ( X23 @ X17 )
            & ~ ( X23 @ X18 )
            & ~ ( X23 @ X19 )
            & ~ ( X23 @ X20 )
            & ~ ( X24 @ X4 )
            & ~ ( X24 @ X5 )
            & ~ ( X24 @ X6 )
            & ~ ( X24 @ X7 )
            & ~ ( X24 @ X11 )
            & ~ ( X24 @ X12 )
            & ( X24 @ X13 )
            & ~ ( X24 @ X14 )
            & ~ ( X24 @ X15 )
            & ~ ( X24 @ X16 )
            & ~ ( X24 @ X17 )
            & ~ ( X24 @ X18 )
            & ~ ( X24 @ X19 )
            & ~ ( X24 @ X20 )
            & ~ ( X25 @ X4 )
            & ~ ( X25 @ X5 )
            & ~ ( X25 @ X6 )
            & ~ ( X25 @ X7 )
            & ~ ( X25 @ X11 )
            & ~ ( X25 @ X12 )
            & ~ ( X25 @ X13 )
            & ( X25 @ X14 )
            & ~ ( X25 @ X15 )
            & ~ ( X25 @ X16 )
            & ~ ( X25 @ X17 )
            & ~ ( X25 @ X18 )
            & ~ ( X25 @ X19 )
            & ~ ( X25 @ X20 )
            & ~ ( X26 @ X4 )
            & ~ ( X26 @ X5 )
            & ~ ( X26 @ X6 )
            & ~ ( X26 @ X7 )
            & ~ ( X26 @ X11 )
            & ~ ( X26 @ X12 )
            & ~ ( X26 @ X13 )
            & ~ ( X26 @ X14 )
            & ( X26 @ X15 )
            & ~ ( X26 @ X16 )
            & ~ ( X26 @ X17 )
            & ~ ( X26 @ X18 )
            & ~ ( X26 @ X19 )
            & ~ ( X26 @ X20 )
            & ~ ( X27 @ X4 )
            & ~ ( X27 @ X5 )
            & ~ ( X27 @ X6 )
            & ~ ( X27 @ X7 )
            & ~ ( X27 @ X11 )
            & ~ ( X27 @ X12 )
            & ~ ( X27 @ X13 )
            & ~ ( X27 @ X14 )
            & ~ ( X27 @ X15 )
            & ( X27 @ X16 )
            & ~ ( X27 @ X17 )
            & ~ ( X27 @ X18 )
            & ~ ( X27 @ X19 )
            & ~ ( X27 @ X20 )
            & ~ ( X28 @ X4 )
            & ~ ( X28 @ X5 )
            & ~ ( X28 @ X6 )
            & ~ ( X28 @ X7 )
            & ~ ( X28 @ X11 )
            & ~ ( X28 @ X12 )
            & ~ ( X28 @ X13 )
            & ~ ( X28 @ X14 )
            & ~ ( X28 @ X15 )
            & ~ ( X28 @ X16 )
            & ( X28 @ X17 )
            & ~ ( X28 @ X18 )
            & ~ ( X28 @ X19 )
            & ~ ( X28 @ X20 )
            & ~ ( X29 @ X4 )
            & ~ ( X29 @ X5 )
            & ~ ( X29 @ X6 )
            & ~ ( X29 @ X7 )
            & ~ ( X29 @ X11 )
            & ~ ( X29 @ X12 )
            & ~ ( X29 @ X13 )
            & ~ ( X29 @ X14 )
            & ~ ( X29 @ X15 )
            & ~ ( X29 @ X16 )
            & ~ ( X29 @ X17 )
            & ( X29 @ X18 )
            & ~ ( X29 @ X19 )
            & ~ ( X29 @ X20 )
            & ~ ( X30 @ X4 )
            & ~ ( X30 @ X5 )
            & ~ ( X30 @ X6 )
            & ~ ( X30 @ X7 )
            & ~ ( X30 @ X11 )
            & ~ ( X30 @ X12 )
            & ~ ( X30 @ X13 )
            & ~ ( X30 @ X14 )
            & ~ ( X30 @ X15 )
            & ~ ( X30 @ X16 )
            & ~ ( X30 @ X17 )
            & ~ ( X30 @ X18 )
            & ( X30 @ X19 )
            & ~ ( X30 @ X20 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X12 @ X4 )
            | ( X1 @ X12 @ X5 )
            | ( X1 @ X12 @ X6 )
            | ( X1 @ X12 @ X7 )
            | ( X1 @ X12 @ X11 )
            | ( X1 @ X13 @ X4 )
            | ( X1 @ X13 @ X5 )
            | ( X1 @ X13 @ X6 )
            | ( X1 @ X13 @ X7 )
            | ( X1 @ X13 @ X11 )
            | ( X1 @ X13 @ X12 )
            | ( X1 @ X14 @ X4 )
            | ( X1 @ X14 @ X5 )
            | ( X1 @ X14 @ X6 )
            | ( X1 @ X14 @ X7 )
            | ( X1 @ X14 @ X11 )
            | ( X1 @ X14 @ X12 )
            | ( X1 @ X14 @ X13 )
            | ( X1 @ X15 @ X4 )
            | ( X1 @ X15 @ X5 )
            | ( X1 @ X15 @ X6 )
            | ( X1 @ X15 @ X7 )
            | ( X1 @ X15 @ X11 )
            | ( X1 @ X15 @ X12 )
            | ( X1 @ X15 @ X13 )
            | ( X1 @ X15 @ X14 )
            | ( X1 @ X16 @ X4 )
            | ( X1 @ X16 @ X5 )
            | ( X1 @ X16 @ X6 )
            | ( X1 @ X16 @ X7 )
            | ( X1 @ X16 @ X11 )
            | ( X1 @ X16 @ X12 )
            | ( X1 @ X16 @ X13 )
            | ( X1 @ X16 @ X14 )
            | ( X1 @ X16 @ X15 )
            | ( X1 @ X17 @ X4 )
            | ( X1 @ X17 @ X5 )
            | ( X1 @ X17 @ X6 )
            | ( X1 @ X17 @ X7 )
            | ( X1 @ X17 @ X11 )
            | ( X1 @ X17 @ X12 )
            | ( X1 @ X17 @ X13 )
            | ( X1 @ X17 @ X14 )
            | ( X1 @ X17 @ X15 )
            | ( X1 @ X17 @ X16 )
            | ( X1 @ X18 @ X4 )
            | ( X1 @ X18 @ X5 )
            | ( X1 @ X18 @ X6 )
            | ( X1 @ X18 @ X7 )
            | ( X1 @ X18 @ X11 )
            | ( X1 @ X18 @ X12 )
            | ( X1 @ X18 @ X13 )
            | ( X1 @ X18 @ X14 )
            | ( X1 @ X18 @ X15 )
            | ( X1 @ X18 @ X16 )
            | ( X1 @ X18 @ X17 )
            | ( X1 @ X19 @ X4 )
            | ( X1 @ X19 @ X5 )
            | ( X1 @ X19 @ X6 )
            | ( X1 @ X19 @ X7 )
            | ( X1 @ X19 @ X11 )
            | ( X1 @ X19 @ X12 )
            | ( X1 @ X19 @ X13 )
            | ( X1 @ X19 @ X14 )
            | ( X1 @ X19 @ X15 )
            | ( X1 @ X19 @ X16 )
            | ( X1 @ X19 @ X17 )
            | ( X1 @ X19 @ X18 )
            | ( X1 @ X20 @ X4 )
            | ( X1 @ X20 @ X5 )
            | ( X1 @ X20 @ X6 )
            | ( X1 @ X20 @ X7 )
            | ( X1 @ X20 @ X11 )
            | ( X1 @ X20 @ X12 )
            | ( X1 @ X20 @ X13 )
            | ( X1 @ X20 @ X14 )
            | ( X1 @ X20 @ X15 )
            | ( X1 @ X20 @ X16 )
            | ( X1 @ X20 @ X17 )
            | ( X1 @ X20 @ X18 )
            | ( X1 @ X20 @ X19 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_4_14_256a) ).

thf(c_0_1,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
    <=> ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X8 @ X4 )
            & ~ ( X8 @ X5 )
            & ~ ( X8 @ X6 )
            & ~ ( X8 @ X7 )
            & ~ ( X8 @ X11 )
            & ~ ( X8 @ X12 )
            & ~ ( X8 @ X13 )
            & ~ ( X8 @ X14 )
            & ~ ( X8 @ X15 )
            & ~ ( X8 @ X16 )
            & ~ ( X8 @ X17 )
            & ~ ( X8 @ X18 )
            & ~ ( X8 @ X19 )
            & ~ ( X8 @ X20 )
            & ~ ( X9 @ X4 )
            & ( X9 @ X5 )
            & ~ ( X9 @ X6 )
            & ~ ( X9 @ X7 )
            & ~ ( X9 @ X11 )
            & ~ ( X9 @ X12 )
            & ~ ( X9 @ X13 )
            & ~ ( X9 @ X14 )
            & ~ ( X9 @ X15 )
            & ~ ( X9 @ X16 )
            & ~ ( X9 @ X17 )
            & ~ ( X9 @ X18 )
            & ~ ( X9 @ X19 )
            & ~ ( X9 @ X20 )
            & ~ ( X10 @ X4 )
            & ~ ( X10 @ X5 )
            & ( X10 @ X6 )
            & ~ ( X10 @ X7 )
            & ~ ( X10 @ X11 )
            & ~ ( X10 @ X12 )
            & ~ ( X10 @ X13 )
            & ~ ( X10 @ X14 )
            & ~ ( X10 @ X15 )
            & ~ ( X10 @ X16 )
            & ~ ( X10 @ X17 )
            & ~ ( X10 @ X18 )
            & ~ ( X10 @ X19 )
            & ~ ( X10 @ X20 )
            & ~ ( X21 @ X4 )
            & ~ ( X21 @ X5 )
            & ~ ( X21 @ X6 )
            & ( X21 @ X7 )
            & ~ ( X21 @ X11 )
            & ~ ( X21 @ X12 )
            & ~ ( X21 @ X13 )
            & ~ ( X21 @ X14 )
            & ~ ( X21 @ X15 )
            & ~ ( X21 @ X16 )
            & ~ ( X21 @ X17 )
            & ~ ( X21 @ X18 )
            & ~ ( X21 @ X19 )
            & ~ ( X21 @ X20 )
            & ~ ( X22 @ X4 )
            & ~ ( X22 @ X5 )
            & ~ ( X22 @ X6 )
            & ~ ( X22 @ X7 )
            & ( X22 @ X11 )
            & ~ ( X22 @ X12 )
            & ~ ( X22 @ X13 )
            & ~ ( X22 @ X14 )
            & ~ ( X22 @ X15 )
            & ~ ( X22 @ X16 )
            & ~ ( X22 @ X17 )
            & ~ ( X22 @ X18 )
            & ~ ( X22 @ X19 )
            & ~ ( X22 @ X20 )
            & ~ ( X23 @ X4 )
            & ~ ( X23 @ X5 )
            & ~ ( X23 @ X6 )
            & ~ ( X23 @ X7 )
            & ~ ( X23 @ X11 )
            & ( X23 @ X12 )
            & ~ ( X23 @ X13 )
            & ~ ( X23 @ X14 )
            & ~ ( X23 @ X15 )
            & ~ ( X23 @ X16 )
            & ~ ( X23 @ X17 )
            & ~ ( X23 @ X18 )
            & ~ ( X23 @ X19 )
            & ~ ( X23 @ X20 )
            & ~ ( X24 @ X4 )
            & ~ ( X24 @ X5 )
            & ~ ( X24 @ X6 )
            & ~ ( X24 @ X7 )
            & ~ ( X24 @ X11 )
            & ~ ( X24 @ X12 )
            & ( X24 @ X13 )
            & ~ ( X24 @ X14 )
            & ~ ( X24 @ X15 )
            & ~ ( X24 @ X16 )
            & ~ ( X24 @ X17 )
            & ~ ( X24 @ X18 )
            & ~ ( X24 @ X19 )
            & ~ ( X24 @ X20 )
            & ~ ( X25 @ X4 )
            & ~ ( X25 @ X5 )
            & ~ ( X25 @ X6 )
            & ~ ( X25 @ X7 )
            & ~ ( X25 @ X11 )
            & ~ ( X25 @ X12 )
            & ~ ( X25 @ X13 )
            & ( X25 @ X14 )
            & ~ ( X25 @ X15 )
            & ~ ( X25 @ X16 )
            & ~ ( X25 @ X17 )
            & ~ ( X25 @ X18 )
            & ~ ( X25 @ X19 )
            & ~ ( X25 @ X20 )
            & ~ ( X26 @ X4 )
            & ~ ( X26 @ X5 )
            & ~ ( X26 @ X6 )
            & ~ ( X26 @ X7 )
            & ~ ( X26 @ X11 )
            & ~ ( X26 @ X12 )
            & ~ ( X26 @ X13 )
            & ~ ( X26 @ X14 )
            & ( X26 @ X15 )
            & ~ ( X26 @ X16 )
            & ~ ( X26 @ X17 )
            & ~ ( X26 @ X18 )
            & ~ ( X26 @ X19 )
            & ~ ( X26 @ X20 )
            & ~ ( X27 @ X4 )
            & ~ ( X27 @ X5 )
            & ~ ( X27 @ X6 )
            & ~ ( X27 @ X7 )
            & ~ ( X27 @ X11 )
            & ~ ( X27 @ X12 )
            & ~ ( X27 @ X13 )
            & ~ ( X27 @ X14 )
            & ~ ( X27 @ X15 )
            & ( X27 @ X16 )
            & ~ ( X27 @ X17 )
            & ~ ( X27 @ X18 )
            & ~ ( X27 @ X19 )
            & ~ ( X27 @ X20 )
            & ~ ( X28 @ X4 )
            & ~ ( X28 @ X5 )
            & ~ ( X28 @ X6 )
            & ~ ( X28 @ X7 )
            & ~ ( X28 @ X11 )
            & ~ ( X28 @ X12 )
            & ~ ( X28 @ X13 )
            & ~ ( X28 @ X14 )
            & ~ ( X28 @ X15 )
            & ~ ( X28 @ X16 )
            & ( X28 @ X17 )
            & ~ ( X28 @ X18 )
            & ~ ( X28 @ X19 )
            & ~ ( X28 @ X20 )
            & ~ ( X29 @ X4 )
            & ~ ( X29 @ X5 )
            & ~ ( X29 @ X6 )
            & ~ ( X29 @ X7 )
            & ~ ( X29 @ X11 )
            & ~ ( X29 @ X12 )
            & ~ ( X29 @ X13 )
            & ~ ( X29 @ X14 )
            & ~ ( X29 @ X15 )
            & ~ ( X29 @ X16 )
            & ~ ( X29 @ X17 )
            & ( X29 @ X18 )
            & ~ ( X29 @ X19 )
            & ~ ( X29 @ X20 )
            & ~ ( X30 @ X4 )
            & ~ ( X30 @ X5 )
            & ~ ( X30 @ X6 )
            & ~ ( X30 @ X7 )
            & ~ ( X30 @ X11 )
            & ~ ( X30 @ X12 )
            & ~ ( X30 @ X13 )
            & ~ ( X30 @ X14 )
            & ~ ( X30 @ X15 )
            & ~ ( X30 @ X16 )
            & ~ ( X30 @ X17 )
            & ~ ( X30 @ X18 )
            & ( X30 @ X19 )
            & ~ ( X30 @ X20 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X12 @ X4 )
            | ( X1 @ X12 @ X5 )
            | ( X1 @ X12 @ X6 )
            | ( X1 @ X12 @ X7 )
            | ( X1 @ X12 @ X11 )
            | ( X1 @ X13 @ X4 )
            | ( X1 @ X13 @ X5 )
            | ( X1 @ X13 @ X6 )
            | ( X1 @ X13 @ X7 )
            | ( X1 @ X13 @ X11 )
            | ( X1 @ X13 @ X12 )
            | ( X1 @ X14 @ X4 )
            | ( X1 @ X14 @ X5 )
            | ( X1 @ X14 @ X6 )
            | ( X1 @ X14 @ X7 )
            | ( X1 @ X14 @ X11 )
            | ( X1 @ X14 @ X12 )
            | ( X1 @ X14 @ X13 )
            | ( X1 @ X15 @ X4 )
            | ( X1 @ X15 @ X5 )
            | ( X1 @ X15 @ X6 )
            | ( X1 @ X15 @ X7 )
            | ( X1 @ X15 @ X11 )
            | ( X1 @ X15 @ X12 )
            | ( X1 @ X15 @ X13 )
            | ( X1 @ X15 @ X14 )
            | ( X1 @ X16 @ X4 )
            | ( X1 @ X16 @ X5 )
            | ( X1 @ X16 @ X6 )
            | ( X1 @ X16 @ X7 )
            | ( X1 @ X16 @ X11 )
            | ( X1 @ X16 @ X12 )
            | ( X1 @ X16 @ X13 )
            | ( X1 @ X16 @ X14 )
            | ( X1 @ X16 @ X15 )
            | ( X1 @ X17 @ X4 )
            | ( X1 @ X17 @ X5 )
            | ( X1 @ X17 @ X6 )
            | ( X1 @ X17 @ X7 )
            | ( X1 @ X17 @ X11 )
            | ( X1 @ X17 @ X12 )
            | ( X1 @ X17 @ X13 )
            | ( X1 @ X17 @ X14 )
            | ( X1 @ X17 @ X15 )
            | ( X1 @ X17 @ X16 )
            | ( X1 @ X18 @ X4 )
            | ( X1 @ X18 @ X5 )
            | ( X1 @ X18 @ X6 )
            | ( X1 @ X18 @ X7 )
            | ( X1 @ X18 @ X11 )
            | ( X1 @ X18 @ X12 )
            | ( X1 @ X18 @ X13 )
            | ( X1 @ X18 @ X14 )
            | ( X1 @ X18 @ X15 )
            | ( X1 @ X18 @ X16 )
            | ( X1 @ X18 @ X17 )
            | ( X1 @ X19 @ X4 )
            | ( X1 @ X19 @ X5 )
            | ( X1 @ X19 @ X6 )
            | ( X1 @ X19 @ X7 )
            | ( X1 @ X19 @ X11 )
            | ( X1 @ X19 @ X12 )
            | ( X1 @ X19 @ X13 )
            | ( X1 @ X19 @ X14 )
            | ( X1 @ X19 @ X15 )
            | ( X1 @ X19 @ X16 )
            | ( X1 @ X19 @ X17 )
            | ( X1 @ X19 @ X18 )
            | ( X1 @ X20 @ X4 )
            | ( X1 @ X20 @ X5 )
            | ( X1 @ X20 @ X6 )
            | ( X1 @ X20 @ X7 )
            | ( X1 @ X20 @ X11 )
            | ( X1 @ X20 @ X12 )
            | ( X1 @ X20 @ X13 )
            | ( X1 @ X20 @ X14 )
            | ( X1 @ X20 @ X15 )
            | ( X1 @ X20 @ X16 )
            | ( X1 @ X20 @ X17 )
            | ( X1 @ X20 @ X18 )
            | ( X1 @ X20 @ X19 ) ) ) ),
    introduced(definition) ).

thf(c_0_2,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred1_1 @ X1 )
    <=> ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
            ( ( X1 @ X2 @ X3 )
           => ( X1 @ X3 @ X2 ) )
        & ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
            ( ( ( X8 @ X4 )
              & ~ ( X8 @ X5 )
              & ~ ( X8 @ X6 )
              & ~ ( X8 @ X7 )
              & ~ ( X9 @ X4 )
              & ( X9 @ X5 )
              & ~ ( X9 @ X6 )
              & ~ ( X9 @ X7 )
              & ~ ( X10 @ X4 )
              & ~ ( X10 @ X5 )
              & ( X10 @ X6 )
              & ~ ( X10 @ X7 ) )
           => ( ~ ( X1 @ X5 @ X4 )
              | ~ ( X1 @ X6 @ X4 )
              | ~ ( X1 @ X6 @ X5 )
              | ~ ( X1 @ X7 @ X4 )
              | ~ ( X1 @ X7 @ X5 )
              | ~ ( X1 @ X7 @ X6 ) ) ) ) ),
    introduced(definition) ).

thf(c_0_3,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: $o > ( $o > $o ) > $o,X13: $o > ( $o > $o ) > $o,X14: $o > ( $o > $o ) > $o,X15: $o > ( $o > $o ) > $o,X16: $o > ( $o > $o ) > $o,X17: $o > ( $o > $o ) > $o,X18: $o > ( $o > $o ) > $o,X19: $o > ( $o > $o ) > $o,X20: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X21: ( $o > ( $o > $o ) > $o ) > $o,X22: ( $o > ( $o > $o ) > $o ) > $o,X23: ( $o > ( $o > $o ) > $o ) > $o,X24: ( $o > ( $o > $o ) > $o ) > $o,X25: ( $o > ( $o > $o ) > $o ) > $o,X26: ( $o > ( $o > $o ) > $o ) > $o,X27: ( $o > ( $o > $o ) > $o ) > $o,X28: ( $o > ( $o > $o ) > $o ) > $o,X29: ( $o > ( $o > $o ) > $o ) > $o,X30: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X8 @ X4 )
            & ~ ( X8 @ X5 )
            & ~ ( X8 @ X6 )
            & ~ ( X8 @ X7 )
            & ~ ( X8 @ X11 )
            & ~ ( X8 @ X12 )
            & ~ ( X8 @ X13 )
            & ~ ( X8 @ X14 )
            & ~ ( X8 @ X15 )
            & ~ ( X8 @ X16 )
            & ~ ( X8 @ X17 )
            & ~ ( X8 @ X18 )
            & ~ ( X8 @ X19 )
            & ~ ( X8 @ X20 )
            & ~ ( X9 @ X4 )
            & ( X9 @ X5 )
            & ~ ( X9 @ X6 )
            & ~ ( X9 @ X7 )
            & ~ ( X9 @ X11 )
            & ~ ( X9 @ X12 )
            & ~ ( X9 @ X13 )
            & ~ ( X9 @ X14 )
            & ~ ( X9 @ X15 )
            & ~ ( X9 @ X16 )
            & ~ ( X9 @ X17 )
            & ~ ( X9 @ X18 )
            & ~ ( X9 @ X19 )
            & ~ ( X9 @ X20 )
            & ~ ( X10 @ X4 )
            & ~ ( X10 @ X5 )
            & ( X10 @ X6 )
            & ~ ( X10 @ X7 )
            & ~ ( X10 @ X11 )
            & ~ ( X10 @ X12 )
            & ~ ( X10 @ X13 )
            & ~ ( X10 @ X14 )
            & ~ ( X10 @ X15 )
            & ~ ( X10 @ X16 )
            & ~ ( X10 @ X17 )
            & ~ ( X10 @ X18 )
            & ~ ( X10 @ X19 )
            & ~ ( X10 @ X20 )
            & ~ ( X21 @ X4 )
            & ~ ( X21 @ X5 )
            & ~ ( X21 @ X6 )
            & ( X21 @ X7 )
            & ~ ( X21 @ X11 )
            & ~ ( X21 @ X12 )
            & ~ ( X21 @ X13 )
            & ~ ( X21 @ X14 )
            & ~ ( X21 @ X15 )
            & ~ ( X21 @ X16 )
            & ~ ( X21 @ X17 )
            & ~ ( X21 @ X18 )
            & ~ ( X21 @ X19 )
            & ~ ( X21 @ X20 )
            & ~ ( X22 @ X4 )
            & ~ ( X22 @ X5 )
            & ~ ( X22 @ X6 )
            & ~ ( X22 @ X7 )
            & ( X22 @ X11 )
            & ~ ( X22 @ X12 )
            & ~ ( X22 @ X13 )
            & ~ ( X22 @ X14 )
            & ~ ( X22 @ X15 )
            & ~ ( X22 @ X16 )
            & ~ ( X22 @ X17 )
            & ~ ( X22 @ X18 )
            & ~ ( X22 @ X19 )
            & ~ ( X22 @ X20 )
            & ~ ( X23 @ X4 )
            & ~ ( X23 @ X5 )
            & ~ ( X23 @ X6 )
            & ~ ( X23 @ X7 )
            & ~ ( X23 @ X11 )
            & ( X23 @ X12 )
            & ~ ( X23 @ X13 )
            & ~ ( X23 @ X14 )
            & ~ ( X23 @ X15 )
            & ~ ( X23 @ X16 )
            & ~ ( X23 @ X17 )
            & ~ ( X23 @ X18 )
            & ~ ( X23 @ X19 )
            & ~ ( X23 @ X20 )
            & ~ ( X24 @ X4 )
            & ~ ( X24 @ X5 )
            & ~ ( X24 @ X6 )
            & ~ ( X24 @ X7 )
            & ~ ( X24 @ X11 )
            & ~ ( X24 @ X12 )
            & ( X24 @ X13 )
            & ~ ( X24 @ X14 )
            & ~ ( X24 @ X15 )
            & ~ ( X24 @ X16 )
            & ~ ( X24 @ X17 )
            & ~ ( X24 @ X18 )
            & ~ ( X24 @ X19 )
            & ~ ( X24 @ X20 )
            & ~ ( X25 @ X4 )
            & ~ ( X25 @ X5 )
            & ~ ( X25 @ X6 )
            & ~ ( X25 @ X7 )
            & ~ ( X25 @ X11 )
            & ~ ( X25 @ X12 )
            & ~ ( X25 @ X13 )
            & ( X25 @ X14 )
            & ~ ( X25 @ X15 )
            & ~ ( X25 @ X16 )
            & ~ ( X25 @ X17 )
            & ~ ( X25 @ X18 )
            & ~ ( X25 @ X19 )
            & ~ ( X25 @ X20 )
            & ~ ( X26 @ X4 )
            & ~ ( X26 @ X5 )
            & ~ ( X26 @ X6 )
            & ~ ( X26 @ X7 )
            & ~ ( X26 @ X11 )
            & ~ ( X26 @ X12 )
            & ~ ( X26 @ X13 )
            & ~ ( X26 @ X14 )
            & ( X26 @ X15 )
            & ~ ( X26 @ X16 )
            & ~ ( X26 @ X17 )
            & ~ ( X26 @ X18 )
            & ~ ( X26 @ X19 )
            & ~ ( X26 @ X20 )
            & ~ ( X27 @ X4 )
            & ~ ( X27 @ X5 )
            & ~ ( X27 @ X6 )
            & ~ ( X27 @ X7 )
            & ~ ( X27 @ X11 )
            & ~ ( X27 @ X12 )
            & ~ ( X27 @ X13 )
            & ~ ( X27 @ X14 )
            & ~ ( X27 @ X15 )
            & ( X27 @ X16 )
            & ~ ( X27 @ X17 )
            & ~ ( X27 @ X18 )
            & ~ ( X27 @ X19 )
            & ~ ( X27 @ X20 )
            & ~ ( X28 @ X4 )
            & ~ ( X28 @ X5 )
            & ~ ( X28 @ X6 )
            & ~ ( X28 @ X7 )
            & ~ ( X28 @ X11 )
            & ~ ( X28 @ X12 )
            & ~ ( X28 @ X13 )
            & ~ ( X28 @ X14 )
            & ~ ( X28 @ X15 )
            & ~ ( X28 @ X16 )
            & ( X28 @ X17 )
            & ~ ( X28 @ X18 )
            & ~ ( X28 @ X19 )
            & ~ ( X28 @ X20 )
            & ~ ( X29 @ X4 )
            & ~ ( X29 @ X5 )
            & ~ ( X29 @ X6 )
            & ~ ( X29 @ X7 )
            & ~ ( X29 @ X11 )
            & ~ ( X29 @ X12 )
            & ~ ( X29 @ X13 )
            & ~ ( X29 @ X14 )
            & ~ ( X29 @ X15 )
            & ~ ( X29 @ X16 )
            & ~ ( X29 @ X17 )
            & ( X29 @ X18 )
            & ~ ( X29 @ X19 )
            & ~ ( X29 @ X20 )
            & ~ ( X30 @ X4 )
            & ~ ( X30 @ X5 )
            & ~ ( X30 @ X6 )
            & ~ ( X30 @ X7 )
            & ~ ( X30 @ X11 )
            & ~ ( X30 @ X12 )
            & ~ ( X30 @ X13 )
            & ~ ( X30 @ X14 )
            & ~ ( X30 @ X15 )
            & ~ ( X30 @ X16 )
            & ~ ( X30 @ X17 )
            & ~ ( X30 @ X18 )
            & ( X30 @ X19 )
            & ~ ( X30 @ X20 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X12 @ X4 )
            | ( X1 @ X12 @ X5 )
            | ( X1 @ X12 @ X6 )
            | ( X1 @ X12 @ X7 )
            | ( X1 @ X12 @ X11 )
            | ( X1 @ X13 @ X4 )
            | ( X1 @ X13 @ X5 )
            | ( X1 @ X13 @ X6 )
            | ( X1 @ X13 @ X7 )
            | ( X1 @ X13 @ X11 )
            | ( X1 @ X13 @ X12 )
            | ( X1 @ X14 @ X4 )
            | ( X1 @ X14 @ X5 )
            | ( X1 @ X14 @ X6 )
            | ( X1 @ X14 @ X7 )
            | ( X1 @ X14 @ X11 )
            | ( X1 @ X14 @ X12 )
            | ( X1 @ X14 @ X13 )
            | ( X1 @ X15 @ X4 )
            | ( X1 @ X15 @ X5 )
            | ( X1 @ X15 @ X6 )
            | ( X1 @ X15 @ X7 )
            | ( X1 @ X15 @ X11 )
            | ( X1 @ X15 @ X12 )
            | ( X1 @ X15 @ X13 )
            | ( X1 @ X15 @ X14 )
            | ( X1 @ X16 @ X4 )
            | ( X1 @ X16 @ X5 )
            | ( X1 @ X16 @ X6 )
            | ( X1 @ X16 @ X7 )
            | ( X1 @ X16 @ X11 )
            | ( X1 @ X16 @ X12 )
            | ( X1 @ X16 @ X13 )
            | ( X1 @ X16 @ X14 )
            | ( X1 @ X16 @ X15 )
            | ( X1 @ X17 @ X4 )
            | ( X1 @ X17 @ X5 )
            | ( X1 @ X17 @ X6 )
            | ( X1 @ X17 @ X7 )
            | ( X1 @ X17 @ X11 )
            | ( X1 @ X17 @ X12 )
            | ( X1 @ X17 @ X13 )
            | ( X1 @ X17 @ X14 )
            | ( X1 @ X17 @ X15 )
            | ( X1 @ X17 @ X16 )
            | ( X1 @ X18 @ X4 )
            | ( X1 @ X18 @ X5 )
            | ( X1 @ X18 @ X6 )
            | ( X1 @ X18 @ X7 )
            | ( X1 @ X18 @ X11 )
            | ( X1 @ X18 @ X12 )
            | ( X1 @ X18 @ X13 )
            | ( X1 @ X18 @ X14 )
            | ( X1 @ X18 @ X15 )
            | ( X1 @ X18 @ X16 )
            | ( X1 @ X18 @ X17 )
            | ( X1 @ X19 @ X4 )
            | ( X1 @ X19 @ X5 )
            | ( X1 @ X19 @ X6 )
            | ( X1 @ X19 @ X7 )
            | ( X1 @ X19 @ X11 )
            | ( X1 @ X19 @ X12 )
            | ( X1 @ X19 @ X13 )
            | ( X1 @ X19 @ X14 )
            | ( X1 @ X19 @ X15 )
            | ( X1 @ X19 @ X16 )
            | ( X1 @ X19 @ X17 )
            | ( X1 @ X19 @ X18 )
            | ( X1 @ X20 @ X4 )
            | ( X1 @ X20 @ X5 )
            | ( X1 @ X20 @ X6 )
            | ( X1 @ X20 @ X7 )
            | ( X1 @ X20 @ X11 )
            | ( X1 @ X20 @ X12 )
            | ( X1 @ X20 @ X13 )
            | ( X1 @ X20 @ X14 )
            | ( X1 @ X20 @ X15 )
            | ( X1 @ X20 @ X16 )
            | ( X1 @ X20 @ X17 )
            | ( X1 @ X20 @ X18 )
            | ( X1 @ X20 @ X19 ) ) )
     => ( epred2_1 @ X1 ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

thf(c_0_4,negated_conjecture,
    ~ ? [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
        ( ( epred1_1 @ X1 )
        & ( epred2_1 @ X1 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_l_4_14_256a]),c_0_2]),c_0_1]) ).

thf(c_0_5,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
            ( ( X1 @ X2 @ X3 )
           => ( X1 @ X3 @ X2 ) )
        & ! [X4: $o > ( $o > $o ) > $o,X5: $o > ( $o > $o ) > $o,X6: $o > ( $o > $o ) > $o,X7: $o > ( $o > $o ) > $o,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o] :
            ( ( ( X8 @ X4 )
              & ~ ( X8 @ X5 )
              & ~ ( X8 @ X6 )
              & ~ ( X8 @ X7 )
              & ~ ( X9 @ X4 )
              & ( X9 @ X5 )
              & ~ ( X9 @ X6 )
              & ~ ( X9 @ X7 )
              & ~ ( X10 @ X4 )
              & ~ ( X10 @ X5 )
              & ( X10 @ X6 )
              & ~ ( X10 @ X7 ) )
           => ( ~ ( X1 @ X5 @ X4 )
              | ~ ( X1 @ X6 @ X4 )
              | ~ ( X1 @ X6 @ X5 )
              | ~ ( X1 @ X7 @ X4 )
              | ~ ( X1 @ X7 @ X5 )
              | ~ ( X1 @ X7 @ X6 ) ) ) )
     => ( epred1_1 @ X1 ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

thf(c_0_6,plain,
    ! [X79: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred26_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred26_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred27_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred27_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred28_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred28_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred29_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred29_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred30_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred30_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred31_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred31_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred32_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred32_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred33_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred33_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred34_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred34_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred35_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred35_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred36_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred36_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred37_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred37_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ( epred38_1 @ X79 @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( epred38_1 @ X79 @ ( epred25_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred13_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred14_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred14_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred15_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred16_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred17_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred18_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred19_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred20_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred21_1 @ X79 ) @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred22_1 @ X79 ) @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred23_1 @ X79 ) @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred24_1 @ X79 ) @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred12_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred13_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred14_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred15_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred16_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred17_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred18_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred19_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred20_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred21_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred22_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred23_1 @ X79 ) )
        | ( epred2_1 @ X79 ) )
      & ( ~ ( X79 @ ( epred25_1 @ X79 ) @ ( epred24_1 @ X79 ) )
        | ( epred2_1 @ X79 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).

thf(c_0_7,negated_conjecture,
    ! [X68: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ~ ( epred1_1 @ X68 )
      | ~ ( epred2_1 @ X68 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

thf(c_0_8,plain,
    ! [X69: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred9_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( epred10_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( epred11_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred6_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred6_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred6_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred7_1 @ X69 ) )
        | ( X69 @ ( epred3_1 @ X69 ) @ ( epred4_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( epred9_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred9_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( epred10_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred10_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred6_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( epred11_1 @ X69 @ ( epred7_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ~ ( epred11_1 @ X69 @ ( epred8_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred6_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred7_1 @ X69 ) @ ( epred6_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred5_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred6_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) )
      & ( ( X69 @ ( epred8_1 @ X69 ) @ ( epred7_1 @ X69 ) )
        | ~ ( X69 @ ( epred4_1 @ X69 ) @ ( epred3_1 @ X69 ) )
        | ( epred1_1 @ X69 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).

thf(c_0_9,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
      | ~ ( epred26_1 @ X1 @ ( epred13_1 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_10,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred26_1 @ X1 @ ( epred12_1 @ X1 ) )
      | ( epred2_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_11,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
      | ~ ( X1 @ ( epred13_1 @ X1 ) @ ( epred12_1 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ~ ( epred1_1 @ X1 )
      | ~ ( epred2_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

thf(c_0_13,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( X1 @ ( epred6_1 @ X1 ) @ ( epred5_1 @ X1 ) )
      | ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
      | ( epred1_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_14,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
      | ( ( epred13_1 @ X1 )
       != ( epred12_1 @ X1 ) ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_9,c_0_10])]) ).

thf(c_0_15,plain,
    ( ( ( epred13_1 @ $neq )
      = ( epred12_1 @ $neq ) )
    | ( epred2_1 @ $neq ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_11]) ).

thf(c_0_16,negated_conjecture,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( X1 @ ( epred6_1 @ X1 ) @ ( epred5_1 @ X1 ) )
      | ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
      | ~ ( epred2_1 @ X1 ) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

thf(c_0_17,plain,
    epred2_1 @ $neq,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

thf(c_0_18,plain,
    ( ( ( epred6_1 @ $neq )
     != ( epred5_1 @ $neq ) )
    | ( ( epred4_1 @ $neq )
     != ( epred3_1 @ $neq ) ) ),
    inference(cn,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).

thf(c_0_19,plain,
    ( ( ( epred4_1 @ $neq @ esk249_0 @ esk250_1 )
    <~> ( epred3_1 @ $neq @ esk249_0 @ esk250_1 ) )
    | ( ( epred6_1 @ $neq )
     != ( epred5_1 @ $neq ) ) ),
    inference(neg_ext,[status(thm)],[c_0_18]) ).

thf(c_0_20,plain,
    epred39_0,
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_21,plain,
    epred40_0,
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_22,plain,
    ~ epred41_0,
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_23,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_19]),c_0_20]),c_0_21])]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRA067^2 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n007.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat May 18 12:44:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running higher-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.47/2.09  # Version: 3.1.0-ho
% 9.47/2.09  # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09  # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09  # Starting sh3 with 600s (2) cores
% 9.47/2.09  # Starting ho_unfolding_3 with 600s (2) cores
% 9.47/2.09  # Starting new_ho_10_cnf2 with 600s (2) cores
% 9.47/2.09  # sh3 with pid 13590 completed with status 0
% 9.47/2.09  # Result found by sh3
% 9.47/2.09  # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09  # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09  # Starting sh3 with 600s (2) cores
% 9.47/2.09  # No SInE strategy applied
% 9.47/2.09  # Search class: HGHNF-FSLF00-SHHFFSBN
% 9.47/2.09  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 9.47/2.09  # Starting new_ho_10 with 121s (1) cores
% 9.47/2.09  # Starting sh3 with 121s (1) cores
% 9.47/2.09  # new_ho_10 with pid 13593 completed with status 9
% 9.47/2.09  # Starting ho_unfolding_3 with 121s (1) cores
% 9.47/2.09  # sh3 with pid 13594 completed with status 9
% 9.47/2.09  # Starting new_ho_10_cnf2 with 121s (1) cores
% 9.47/2.09  # new_ho_10_cnf2 with pid 13605 completed with status 9
% 9.47/2.09  # Starting pre_casc_2 with 116s (1) cores
% 9.47/2.09  # ho_unfolding_3 with pid 13601 completed with status 9
% 9.47/2.09  # pre_casc_2 with pid 13608 completed with status 9
% 9.47/2.09  # Schedule exhausted
% 9.47/2.09  
% 9.47/2.09  # -------------------------------------------------
% 9.47/2.09  # User time                : 2.080 s
% 9.47/2.09  # System time              : 0.051 s
% 9.47/2.09  # Total time               : 2.131 s
% 9.47/2.09  # Maximum resident set size: 3336 pages
% 9.47/2.09  # executing default schedule for 597.869 seconds.
% 9.47/2.09  # Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 9.47/2.09  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 9.47/2.09  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 9.47/2.09  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13613 completed with status 9
% 9.47/2.09  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 9.47/2.09  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 13614 completed with status 9
% 9.47/2.09  # Starting lpo1_def_fix with 86s (1) cores
% 9.47/2.09  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 13621 completed with status 9
% 9.47/2.09  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 86s (1) cores
% 9.47/2.09  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 13628 completed with status 9
% 9.47/2.09  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 86s (1) cores
% 9.47/2.09  # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 13633 completed with status 9
% 9.47/2.09  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 75s (1) cores
% 9.47/2.09  # G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 13637 completed with status 9
% 9.47/2.09  # lpo1_def_fix with pid 13623 completed with status 0
% 9.47/2.09  # Result found by lpo1_def_fix
% 9.47/2.09  # Preprocessing class: HSLSSMSSSSSNHHA.
% 9.47/2.09  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 9.47/2.09  # Starting new_ho_10 with 600s (2) cores
% 9.47/2.09  # Starting sh3 with 600s (2) cores
% 9.47/2.09  # No SInE strategy applied
% 9.47/2.09  # Search class: HGHNF-FSLF00-SHHFFSBN
% 9.47/2.09  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 9.47/2.09  # Starting new_ho_10 with 121s (1) cores
% 9.47/2.09  # Starting sh3 with 121s (1) cores
% 9.47/2.09  # new_ho_10 with pid 13593 completed with status 9
% 9.47/2.09  # Starting ho_unfolding_3 with 121s (1) cores
% 9.47/2.09  # sh3 with pid 13594 completed with status 9
% 9.47/2.09  # Starting new_ho_10_cnf2 with 121s (1) cores
% 9.47/2.09  # new_ho_10_cnf2 with pid 13605 completed with status 9
% 9.47/2.09  # Starting pre_casc_2 with 116s (1) cores
% 9.47/2.09  # ho_unfolding_3 with pid 13601 completed with status 9
% 9.47/2.09  # pre_casc_2 with pid 13608 completed with status 9
% 9.47/2.09  # Schedule exhausted
% 9.47/2.09  
% 9.47/2.09  # -------------------------------------------------
% 9.47/2.09  # User time                : 2.080 s
% 9.47/2.09  # System time              : 0.051 s
% 9.47/2.09  # Total time               : 2.131 s
% 9.47/2.09  # Maximum resident set size: 3336 pages
% 9.47/2.09  # executing default schedule for 597.869 seconds.
% 9.47/2.09  # Scheduled 7 strats onto 2 cores with 597 seconds (591 total)
% 9.47/2.09  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 9.47/2.09  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 9.47/2.09  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13613 completed with status 9
% 9.47/2.09  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 9.47/2.09  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 13614 completed with status 9
% 9.47/2.09  # Starting lpo1_def_fix with 86s (1) cores
% 9.47/2.09  # Preprocessing time       : 0.004 s
% 9.47/2.09  # Presaturation interreduction done
% 9.47/2.09  
% 9.47/2.09  # Proof found!
% 9.47/2.09  # SZS status Theorem
% 9.47/2.09  # SZS output start CNFRefutation
% See solution above
% 9.47/2.09  # Parsed axioms                        : 1
% 9.47/2.09  # Removed by relevancy pruning/SinE    : 0
% 9.47/2.09  # Initial clauses                      : 310
% 9.47/2.09  # Removed in clause preprocessing      : 0
% 9.47/2.09  # Initial clauses in saturation        : 310
% 9.47/2.09  # Processed clauses                    : 878
% 9.47/2.09  # ...of these trivial                  : 15
% 9.47/2.09  # ...subsumed                          : 112
% 9.47/2.09  # ...remaining for further processing  : 750
% 9.47/2.09  # Other redundant clauses eliminated   : 205
% 9.47/2.09  # Clauses deleted for lack of memory   : 0
% 9.47/2.09  # Backward-subsumed                    : 0
% 9.47/2.09  # Backward-rewritten                   : 1
% 9.47/2.09  # Generated clauses                    : 1778
% 9.47/2.09  # ...of the previous two non-redundant : 1308
% 9.47/2.09  # ...aggressively subsumed             : 0
% 9.47/2.09  # Contextual simplify-reflections      : 0
% 9.47/2.09  # Paramodulations                      : 26
% 9.47/2.09  # Factorizations                       : 0
% 9.47/2.09  # NegExts                              : 256
% 9.47/2.09  # Equation resolutions                 : 205
% 9.47/2.09  # Disequality decompositions           : 0
% 9.47/2.09  # Total rewrite steps                  : 130
% 9.47/2.09  # ...of those cached                   : 127
% 9.47/2.09  # Propositional unsat checks           : 0
% 9.47/2.09  #    Propositional check models        : 0
% 9.47/2.09  #    Propositional check unsatisfiable : 0
% 9.47/2.09  #    Propositional clauses             : 0
% 9.47/2.09  #    Propositional clauses after purity: 0
% 9.47/2.09  #    Propositional unsat core size     : 0
% 9.47/2.09  #    Propositional preprocessing time  : 0.000
% 9.47/2.09  #    Propositional encoding time       : 0.000
% 9.47/2.09  #    Propositional solver time         : 0.000
% 9.47/2.09  #    Success case prop preproc time    : 0.000
% 9.47/2.09  #    Success case prop encoding time   : 0.000
% 9.47/2.09  #    Success case prop solver time     : 0.000
% 9.47/2.09  # Current number of processed clauses  : 438
% 9.47/2.09  #    Positive orientable unit clauses  : 3
% 9.47/2.09  #    Positive unorientable unit clauses: 0
% 9.47/2.09  #    Negative unit clauses             : 1
% 9.47/2.09  #    Non-unit-clauses                  : 434
% 9.47/2.09  # Current number of unprocessed clauses: 1050
% 9.47/2.09  # ...number of literals in the above   : 2348
% 9.47/2.09  # Current number of archived formulas  : 0
% 9.47/2.09  # Current number of archived clauses   : 312
% 9.47/2.09  # Clause-clause subsumption calls (NU) : 18598
% 9.47/2.09  # Rec. Clause-clause subsumption calls : 16421
% 9.47/2.09  # Non-unit clause-clause subsumptions  : 109
% 9.47/2.09  # Unit Clause-clause subsumption calls : 1203
% 9.47/2.09  # Rewrite failures with RHS unbound    : 0
% 9.47/2.09  # BW rewrite match attempts            : 1
% 9.47/2.09  # BW rewrite match successes           : 1
% 9.47/2.09  # Condensation attempts                : 0
% 9.47/2.09  # Condensation successes               : 0
% 9.47/2.09  # Termbank termtop insertions          : 197760
% 9.47/2.09  # Search garbage collected termcells   : 6686
% 9.47/2.09  
% 9.47/2.09  # -------------------------------------------------
% 9.47/2.09  # User time                : 2.408 s
% 9.47/2.09  # System time              : 0.072 s
% 9.47/2.09  # Total time               : 2.480 s
% 9.47/2.09  # Maximum resident set size: 3384 pages
% 9.47/2.09  
% 9.47/2.09  # -------------------------------------------------
% 9.47/2.09  # User time                : 2.410 s
% 9.47/2.09  # System time              : 0.075 s
% 9.47/2.09  # Total time               : 2.485 s
% 9.47/2.09  # Maximum resident set size: 1900 pages
% 9.47/2.09  % E---3.1 exiting
% 9.47/2.09  % E exiting
%------------------------------------------------------------------------------