TSTP Solution File: GRA063^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRA063^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 20:41:12 EDT 2024

% Result   : Theorem 3.29s 1.16s
% Output   : CNFRefutation 3.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   44
% Syntax   : Number of formulae    :   65 (   8 unt;  41 typ;   0 def)
%            Number of atoms       :  951 (   5 equ;   0 cnn)
%            Maximal formula atoms :  702 (  39 avg)
%            Number of connectives : 4492 ( 748   ~; 565   |; 771   &;2394   @)
%                                         (   2 <=>;  11  =>;   0  <=;   1 <~>)
%            Maximal formula depth :  240 (  40 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :  921 ( 921   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   44 (  41 usr;   6 con; 0-3 aty)
%            Number of variables   :  118 (   0   ^ 116   !;   2   ?; 118   :)

% 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 ) > $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_268,type,
    esk211_0: $o ).

thf(decl_269,type,
    esk212_1: $o > $o ).

thf(decl_276,type,
    epred37_0: $o ).

thf(decl_277,type,
    epred38_0: $o ).

thf(decl_278,type,
    epred39_0: $o ).

thf(ramsey_l_4_13_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,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X20: ( $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] :
          ( ( ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( X20 @ X4 )
            & ~ ( X20 @ X5 )
            & ~ ( X20 @ X6 )
            & ( X20 @ X7 )
            & ~ ( X20 @ X11 )
            & ~ ( X20 @ X12 )
            & ~ ( X20 @ X13 )
            & ~ ( X20 @ X14 )
            & ~ ( X20 @ X15 )
            & ~ ( X20 @ X16 )
            & ~ ( X20 @ X17 )
            & ~ ( X20 @ X18 )
            & ~ ( X20 @ X19 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 ) )
         => ( ( 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 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ramsey_l_4_13_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,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X20: ( $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] :
          ( ( ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( X20 @ X4 )
            & ~ ( X20 @ X5 )
            & ~ ( X20 @ X6 )
            & ( X20 @ X7 )
            & ~ ( X20 @ X11 )
            & ~ ( X20 @ X12 )
            & ~ ( X20 @ X13 )
            & ~ ( X20 @ X14 )
            & ~ ( X20 @ X15 )
            & ~ ( X20 @ X16 )
            & ~ ( X20 @ X17 )
            & ~ ( X20 @ X18 )
            & ~ ( X20 @ X19 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 ) )
         => ( ( 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 ) ) ) ),
    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,X8: ( $o > ( $o > $o ) > $o ) > $o,X9: ( $o > ( $o > $o ) > $o ) > $o,X10: ( $o > ( $o > $o ) > $o ) > $o,X20: ( $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] :
          ( ( ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( X20 @ X4 )
            & ~ ( X20 @ X5 )
            & ~ ( X20 @ X6 )
            & ( X20 @ X7 )
            & ~ ( X20 @ X11 )
            & ~ ( X20 @ X12 )
            & ~ ( X20 @ X13 )
            & ~ ( X20 @ X14 )
            & ~ ( X20 @ X15 )
            & ~ ( X20 @ X16 )
            & ~ ( X20 @ X17 )
            & ~ ( X20 @ X18 )
            & ~ ( X20 @ X19 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 )
            & ~ ( 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 ) )
         => ( ( 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 ) ) )
     => ( 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_13_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,
    ! [X75: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred25_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred25_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred26_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred26_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred27_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred27_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred28_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred28_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred29_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred29_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred30_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred30_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred31_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred31_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred32_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred32_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred33_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred33_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred34_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred34_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred35_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred35_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ( epred36_1 @ X75 @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( epred36_1 @ X75 @ ( epred24_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred13_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred14_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred14_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred15_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred15_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred15_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred16_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred16_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred16_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred16_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred17_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred17_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred17_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred17_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred17_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred18_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred19_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred20_1 @ X75 ) @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred21_1 @ X75 ) @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred22_1 @ X75 ) @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred23_1 @ X75 ) @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred12_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred13_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred14_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred15_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred16_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred17_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred18_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred19_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred20_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred21_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred22_1 @ X75 ) )
        | ( epred2_1 @ X75 ) )
      & ( ~ ( X75 @ ( epred24_1 @ X75 ) @ ( epred23_1 @ X75 ) )
        | ( epred2_1 @ X75 ) ) ),
    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,
    ! [X64: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ~ ( epred1_1 @ X64 )
      | ~ ( epred2_1 @ X64 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

thf(c_0_8,plain,
    ! [X65: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred9_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( epred10_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( epred11_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred6_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred7_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred7_1 @ X65 ) @ ( epred6_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred6_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred7_1 @ X65 ) )
        | ( X65 @ ( epred3_1 @ X65 ) @ ( epred4_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( epred9_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred9_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( epred10_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred10_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred6_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( epred11_1 @ X65 @ ( epred7_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ~ ( epred11_1 @ X65 @ ( epred8_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred6_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred7_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred7_1 @ X65 ) @ ( epred6_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred5_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred6_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) )
      & ( ( X65 @ ( epred8_1 @ X65 ) @ ( epred7_1 @ X65 ) )
        | ~ ( X65 @ ( epred4_1 @ X65 ) @ ( epred3_1 @ X65 ) )
        | ( epred1_1 @ X65 ) ) ),
    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 )
      | ~ ( epred25_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] :
      ( ( epred25_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 @ esk211_0 @ esk212_1 )
    <~> ( epred3_1 @ $neq @ esk211_0 @ esk212_1 ) )
    | ( ( epred6_1 @ $neq )
     != ( epred5_1 @ $neq ) ) ),
    inference(neg_ext,[status(thm)],[c_0_18]) ).

thf(c_0_20,plain,
    epred37_0,
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_21,plain,
    epred38_0,
    inference(dynamic_cnf,[status(thm)],[c_0_19]) ).

thf(c_0_22,plain,
    ~ epred39_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
% 0.07/0.12  % Problem    : GRA063^2 : TPTP v8.2.0. Released v3.6.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 12:40:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running higher-order theorem proving
% 0.19/0.47  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
% 3.29/1.16  # Version: 3.1.0-ho
% 3.29/1.16  # Preprocessing class: HSLSSMSSSSSNHHA.
% 3.29/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.29/1.16  # Starting new_ho_10 with 600s (2) cores
% 3.29/1.16  # Starting sh3 with 600s (2) cores
% 3.29/1.16  # Starting ho_unfolding_3 with 600s (2) cores
% 3.29/1.16  # Starting new_ho_10_cnf2 with 600s (2) cores
% 3.29/1.16  # sh3 with pid 17298 completed with status 0
% 3.29/1.16  # Result found by sh3
% 3.29/1.16  # Preprocessing class: HSLSSMSSSSSNHHA.
% 3.29/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.29/1.16  # Starting new_ho_10 with 600s (2) cores
% 3.29/1.16  # Starting sh3 with 600s (2) cores
% 3.29/1.16  # No SInE strategy applied
% 3.29/1.16  # Search class: HGHNF-FSLF00-SHHFFSBN
% 3.29/1.16  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 3.29/1.16  # Starting new_ho_10 with 121s (1) cores
% 3.29/1.16  # Starting sh3 with 121s (1) cores
% 3.29/1.16  # new_ho_10 with pid 17303 completed with status 9
% 3.29/1.16  # Starting ho_unfolding_3 with 121s (1) cores
% 3.29/1.16  # sh3 with pid 17304 completed with status 9
% 3.29/1.16  # Starting new_ho_10_cnf2 with 121s (1) cores
% 3.29/1.16  # ho_unfolding_3 with pid 17310 completed with status 9
% 3.29/1.16  # Starting pre_casc_2 with 116s (1) cores
% 3.29/1.16  # new_ho_10_cnf2 with pid 17314 completed with status 9
% 3.29/1.16  # pre_casc_2 with pid 17318 completed with status 9
% 3.29/1.16  # Schedule exhausted
% 3.29/1.16  
% 3.29/1.16  # -------------------------------------------------
% 3.29/1.16  # User time                : 0.895 s
% 3.29/1.16  # System time              : 0.033 s
% 3.29/1.16  # Total time               : 0.928 s
% 3.29/1.16  # Maximum resident set size: 3144 pages
% 3.29/1.16  # executing default schedule for 599.072 seconds.
% 3.29/1.16  # Scheduled 7 strats onto 2 cores with 599 seconds (591 total)
% 3.29/1.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 3.29/1.16  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 3.29/1.16  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17321 completed with status 9
% 3.29/1.16  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 3.29/1.16  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 17325 completed with status 9
% 3.29/1.16  # Starting lpo1_def_fix with 86s (1) cores
% 3.29/1.16  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 17322 completed with status 9
% 3.29/1.16  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 86s (1) cores
% 3.29/1.16  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 17330 completed with status 9
% 3.29/1.16  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 86s (1) cores
% 3.29/1.16  # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 17336 completed with status 9
% 3.29/1.16  # Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S4S with 75s (1) cores
% 3.29/1.16  # lpo1_def_fix with pid 17328 completed with status 0
% 3.29/1.16  # Result found by lpo1_def_fix
% 3.29/1.16  # Preprocessing class: HSLSSMSSSSSNHHA.
% 3.29/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.29/1.16  # Starting new_ho_10 with 600s (2) cores
% 3.29/1.16  # Starting sh3 with 600s (2) cores
% 3.29/1.16  # No SInE strategy applied
% 3.29/1.16  # Search class: HGHNF-FSLF00-SHHFFSBN
% 3.29/1.16  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 3.29/1.16  # Starting new_ho_10 with 121s (1) cores
% 3.29/1.16  # Starting sh3 with 121s (1) cores
% 3.29/1.16  # new_ho_10 with pid 17303 completed with status 9
% 3.29/1.16  # Starting ho_unfolding_3 with 121s (1) cores
% 3.29/1.16  # sh3 with pid 17304 completed with status 9
% 3.29/1.16  # Starting new_ho_10_cnf2 with 121s (1) cores
% 3.29/1.16  # ho_unfolding_3 with pid 17310 completed with status 9
% 3.29/1.16  # Starting pre_casc_2 with 116s (1) cores
% 3.29/1.16  # new_ho_10_cnf2 with pid 17314 completed with status 9
% 3.29/1.16  # pre_casc_2 with pid 17318 completed with status 9
% 3.29/1.16  # Schedule exhausted
% 3.29/1.16  
% 3.29/1.16  # -------------------------------------------------
% 3.29/1.16  # User time                : 0.895 s
% 3.29/1.16  # System time              : 0.033 s
% 3.29/1.16  # Total time               : 0.928 s
% 3.29/1.16  # Maximum resident set size: 3144 pages
% 3.29/1.16  # executing default schedule for 599.072 seconds.
% 3.29/1.16  # Scheduled 7 strats onto 2 cores with 599 seconds (591 total)
% 3.29/1.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 86s (1) cores
% 3.29/1.16  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 86s (1) cores
% 3.29/1.16  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17321 completed with status 9
% 3.29/1.16  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 86s (1) cores
% 3.29/1.16  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 17325 completed with status 9
% 3.29/1.16  # Starting lpo1_def_fix with 86s (1) cores
% 3.29/1.16  # Preprocessing time       : 0.002 s
% 3.29/1.16  # Presaturation interreduction done
% 3.29/1.16  
% 3.29/1.16  # Proof found!
% 3.29/1.16  # SZS status Theorem
% 3.29/1.16  # SZS output start CNFRefutation
% See solution above
% 3.29/1.16  # Parsed axioms                        : 1
% 3.29/1.16  # Removed by relevancy pruning/SinE    : 0
% 3.29/1.16  # Initial clauses                      : 271
% 3.29/1.16  # Removed in clause preprocessing      : 0
% 3.29/1.16  # Initial clauses in saturation        : 271
% 3.29/1.16  # Processed clauses                    : 757
% 3.29/1.16  # ...of these trivial                  : 13
% 3.29/1.16  # ...subsumed                          : 95
% 3.29/1.16  # ...remaining for further processing  : 648
% 3.29/1.16  # Other redundant clauses eliminated   : 180
% 3.29/1.16  # Clauses deleted for lack of memory   : 0
% 3.29/1.16  # Backward-subsumed                    : 0
% 3.29/1.16  # Backward-rewritten                   : 1
% 3.29/1.16  # Generated clauses                    : 1540
% 3.29/1.16  # ...of the previous two non-redundant : 1130
% 3.29/1.16  # ...aggressively subsumed             : 0
% 3.29/1.16  # Contextual simplify-reflections      : 0
% 3.29/1.16  # Paramodulations                      : 22
% 3.29/1.16  # Factorizations                       : 0
% 3.29/1.16  # NegExts                              : 218
% 3.29/1.16  # Equation resolutions                 : 180
% 3.29/1.16  # Disequality decompositions           : 0
% 3.29/1.16  # Total rewrite steps                  : 114
% 3.29/1.16  # ...of those cached                   : 111
% 3.29/1.16  # Propositional unsat checks           : 0
% 3.29/1.16  #    Propositional check models        : 0
% 3.29/1.16  #    Propositional check unsatisfiable : 0
% 3.29/1.16  #    Propositional clauses             : 0
% 3.29/1.16  #    Propositional clauses after purity: 0
% 3.29/1.16  #    Propositional unsat core size     : 0
% 3.29/1.16  #    Propositional preprocessing time  : 0.000
% 3.29/1.16  #    Propositional encoding time       : 0.000
% 3.29/1.16  #    Propositional solver time         : 0.000
% 3.29/1.16  #    Success case prop preproc time    : 0.000
% 3.29/1.16  #    Success case prop encoding time   : 0.000
% 3.29/1.16  #    Success case prop solver time     : 0.000
% 3.29/1.16  # Current number of processed clauses  : 375
% 3.29/1.16  #    Positive orientable unit clauses  : 3
% 3.29/1.16  #    Positive unorientable unit clauses: 0
% 3.29/1.16  #    Negative unit clauses             : 1
% 3.29/1.16  #    Non-unit-clauses                  : 371
% 3.29/1.16  # Current number of unprocessed clauses: 915
% 3.29/1.16  # ...number of literals in the above   : 2064
% 3.29/1.16  # Current number of archived formulas  : 0
% 3.29/1.16  # Current number of archived clauses   : 273
% 3.29/1.16  # Clause-clause subsumption calls (NU) : 12448
% 3.29/1.16  # Rec. Clause-clause subsumption calls : 11361
% 3.29/1.16  # Non-unit clause-clause subsumptions  : 92
% 3.29/1.16  # Unit Clause-clause subsumption calls : 699
% 3.29/1.16  # Rewrite failures with RHS unbound    : 0
% 3.29/1.16  # BW rewrite match attempts            : 1
% 3.29/1.16  # BW rewrite match successes           : 1
% 3.29/1.16  # Condensation attempts                : 0
% 3.29/1.16  # Condensation successes               : 0
% 3.29/1.16  # Termbank termtop insertions          : 170143
% 3.29/1.16  # Search garbage collected termcells   : 5827
% 3.29/1.16  
% 3.29/1.16  # -------------------------------------------------
% 3.29/1.16  # User time                : 1.046 s
% 3.29/1.16  # System time              : 0.039 s
% 3.29/1.16  # Total time               : 1.085 s
% 3.29/1.16  # Maximum resident set size: 3184 pages
% 3.29/1.16  
% 3.29/1.16  # -------------------------------------------------
% 3.29/1.16  # User time                : 1.052 s
% 3.29/1.16  # System time              : 0.042 s
% 3.29/1.16  # Total time               : 1.094 s
% 3.29/1.16  # Maximum resident set size: 1904 pages
% 3.29/1.16  % E---3.1 exiting
% 3.29/1.16  % E exiting
%------------------------------------------------------------------------------