TSTP Solution File: GRA043^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : GRA043^2 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat May  4 07:46:30 EDT 2024

% Result   : Theorem 0.22s 0.59s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   41
% Syntax   : Number of formulae    :   64 (   8 unt;  38 typ;   0 def)
%            Number of atoms       :  585 (   5 equ;   0 cnn)
%            Maximal formula atoms :  252 (  22 avg)
%            Number of connectives : 2863 ( 523   ~; 347   |; 501   &;1479   @)
%                                         (   2 <=>;  10  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   90 (  25 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :  869 ( 869   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   41 (  38 usr;   5 con; 0-3 aty)
%            Number of variables   :  110 (   0   ^ 108   !;   2   ?; 110   :)

% 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 ).

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

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 ) > $o ).

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

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

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

thf(decl_48,type,
    epred27_1: ( ( $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_191,type,
    esk136_0: $o ).

thf(decl_192,type,
    esk137_1: $o > $o ).

thf(decl_194,type,
    epred35_0: $o ).

thf(decl_195,type,
    epred36_0: $o ).

thf(ramsey_l_8_8_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,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ~ ( X1 @ X5 @ X4 )
            | ~ ( X1 @ X6 @ X4 )
            | ~ ( X1 @ X6 @ X5 )
            | ~ ( X1 @ X7 @ X4 )
            | ~ ( X1 @ X7 @ X5 )
            | ~ ( X1 @ X7 @ X6 )
            | ~ ( X1 @ X8 @ X4 )
            | ~ ( X1 @ X8 @ X5 )
            | ~ ( X1 @ X8 @ X6 )
            | ~ ( X1 @ X8 @ X7 )
            | ~ ( X1 @ X9 @ X4 )
            | ~ ( X1 @ X9 @ X5 )
            | ~ ( X1 @ X9 @ X6 )
            | ~ ( X1 @ X9 @ X7 )
            | ~ ( X1 @ X9 @ X8 )
            | ~ ( X1 @ X10 @ X4 )
            | ~ ( X1 @ X10 @ X5 )
            | ~ ( X1 @ X10 @ X6 )
            | ~ ( X1 @ X10 @ X7 )
            | ~ ( X1 @ X10 @ X8 )
            | ~ ( X1 @ X10 @ X9 )
            | ~ ( X1 @ X11 @ X4 )
            | ~ ( X1 @ X11 @ X5 )
            | ~ ( X1 @ X11 @ X6 )
            | ~ ( X1 @ X11 @ X7 )
            | ~ ( X1 @ X11 @ X8 )
            | ~ ( X1 @ X11 @ X9 )
            | ~ ( X1 @ X11 @ X10 ) ) )
      & ! [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,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X8 @ X4 )
            | ( X1 @ X8 @ X5 )
            | ( X1 @ X8 @ X6 )
            | ( X1 @ X8 @ X7 )
            | ( X1 @ X9 @ X4 )
            | ( X1 @ X9 @ X5 )
            | ( X1 @ X9 @ X6 )
            | ( X1 @ X9 @ X7 )
            | ( X1 @ X9 @ X8 )
            | ( X1 @ X10 @ X4 )
            | ( X1 @ X10 @ X5 )
            | ( X1 @ X10 @ X6 )
            | ( X1 @ X10 @ X7 )
            | ( X1 @ X10 @ X8 )
            | ( X1 @ X10 @ X9 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X11 @ X8 )
            | ( X1 @ X11 @ X9 )
            | ( X1 @ X11 @ X10 ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gF22ipSJ9P/E---3.1_11494.p',ramsey_l_8_8_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,X8: $o > ( $o > $o ) > $o,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X8 @ X4 )
            | ( X1 @ X8 @ X5 )
            | ( X1 @ X8 @ X6 )
            | ( X1 @ X8 @ X7 )
            | ( X1 @ X9 @ X4 )
            | ( X1 @ X9 @ X5 )
            | ( X1 @ X9 @ X6 )
            | ( X1 @ X9 @ X7 )
            | ( X1 @ X9 @ X8 )
            | ( X1 @ X10 @ X4 )
            | ( X1 @ X10 @ X5 )
            | ( X1 @ X10 @ X6 )
            | ( X1 @ X10 @ X7 )
            | ( X1 @ X10 @ X8 )
            | ( X1 @ X10 @ X9 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X11 @ X8 )
            | ( X1 @ X11 @ X9 )
            | ( X1 @ X11 @ X10 ) ) ) ),
    introduced(definition) ).

thf(c_0_2,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred1_1 @ X1 )
    <=> ! [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,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ~ ( X1 @ X5 @ X4 )
            | ~ ( X1 @ X6 @ X4 )
            | ~ ( X1 @ X6 @ X5 )
            | ~ ( X1 @ X7 @ X4 )
            | ~ ( X1 @ X7 @ X5 )
            | ~ ( X1 @ X7 @ X6 )
            | ~ ( X1 @ X8 @ X4 )
            | ~ ( X1 @ X8 @ X5 )
            | ~ ( X1 @ X8 @ X6 )
            | ~ ( X1 @ X8 @ X7 )
            | ~ ( X1 @ X9 @ X4 )
            | ~ ( X1 @ X9 @ X5 )
            | ~ ( X1 @ X9 @ X6 )
            | ~ ( X1 @ X9 @ X7 )
            | ~ ( X1 @ X9 @ X8 )
            | ~ ( X1 @ X10 @ X4 )
            | ~ ( X1 @ X10 @ X5 )
            | ~ ( X1 @ X10 @ X6 )
            | ~ ( X1 @ X10 @ X7 )
            | ~ ( X1 @ X10 @ X8 )
            | ~ ( X1 @ X10 @ X9 )
            | ~ ( X1 @ X11 @ X4 )
            | ~ ( X1 @ X11 @ X5 )
            | ~ ( X1 @ X11 @ X6 )
            | ~ ( X1 @ X11 @ X7 )
            | ~ ( X1 @ X11 @ X8 )
            | ~ ( X1 @ X11 @ X9 )
            | ~ ( X1 @ X11 @ X10 ) ) ) ),
    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,X8: $o > ( $o > $o ) > $o,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ( X1 @ X5 @ X4 )
            | ( X1 @ X6 @ X4 )
            | ( X1 @ X6 @ X5 )
            | ( X1 @ X7 @ X4 )
            | ( X1 @ X7 @ X5 )
            | ( X1 @ X7 @ X6 )
            | ( X1 @ X8 @ X4 )
            | ( X1 @ X8 @ X5 )
            | ( X1 @ X8 @ X6 )
            | ( X1 @ X8 @ X7 )
            | ( X1 @ X9 @ X4 )
            | ( X1 @ X9 @ X5 )
            | ( X1 @ X9 @ X6 )
            | ( X1 @ X9 @ X7 )
            | ( X1 @ X9 @ X8 )
            | ( X1 @ X10 @ X4 )
            | ( X1 @ X10 @ X5 )
            | ( X1 @ X10 @ X6 )
            | ( X1 @ X10 @ X7 )
            | ( X1 @ X10 @ X8 )
            | ( X1 @ X10 @ X9 )
            | ( X1 @ X11 @ X4 )
            | ( X1 @ X11 @ X5 )
            | ( X1 @ X11 @ X6 )
            | ( X1 @ X11 @ X7 )
            | ( X1 @ X11 @ X8 )
            | ( X1 @ X11 @ X9 )
            | ( X1 @ X11 @ X10 ) ) )
     => ( 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] :
        ( ! [X2: $o > ( $o > $o ) > $o,X3: $o > ( $o > $o ) > $o] :
            ( ( X1 @ X2 @ X3 )
           => ( X1 @ X3 @ X2 ) )
        & ( epred1_1 @ X1 )
        & ( epred2_1 @ X1 ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[ramsey_l_8_8_256a]),c_0_2]),c_0_1]) ).

thf(c_0_5,plain,
    ! [X71: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred28_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred28_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred29_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred29_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred30_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred30_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred31_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred31_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred32_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred32_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred33_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred33_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ( epred34_1 @ X71 @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( epred34_1 @ X71 @ ( epred27_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred21_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred22_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred22_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred23_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred23_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred23_1 @ X71 ) @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred24_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred24_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred24_1 @ X71 ) @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred24_1 @ X71 ) @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred25_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred25_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred25_1 @ X71 ) @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred25_1 @ X71 ) @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred25_1 @ X71 ) @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred26_1 @ X71 ) @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred20_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred21_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred22_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred23_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred24_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred25_1 @ X71 ) )
        | ( epred2_1 @ X71 ) )
      & ( ~ ( X71 @ ( epred27_1 @ X71 ) @ ( epred26_1 @ X71 ) )
        | ( epred2_1 @ X71 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

thf(c_0_6,negated_conjecture,
    ! [X52: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( X52 @ ( epred3_1 @ X52 ) @ ( epred4_1 @ X52 ) )
        | ~ ( epred1_1 @ X52 )
        | ~ ( epred2_1 @ X52 ) )
      & ( ~ ( X52 @ ( epred4_1 @ X52 ) @ ( epred3_1 @ X52 ) )
        | ~ ( epred1_1 @ X52 )
        | ~ ( epred2_1 @ X52 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).

thf(c_0_7,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
      | ~ ( epred28_1 @ X1 @ ( epred21_1 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred28_1 @ X1 @ ( epred20_1 @ X1 ) )
      | ( epred2_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( epred2_1 @ X1 )
      | ~ ( X1 @ ( epred21_1 @ X1 ) @ ( epred20_1 @ X1 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_10,negated_conjecture,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ~ ( X1 @ ( epred4_1 @ X1 ) @ ( epred3_1 @ X1 ) )
      | ~ ( epred1_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 )
      | ( ( epred21_1 @ X1 )
       != ( epred20_1 @ X1 ) ) ),
    inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_7,c_0_8])]) ).

thf(c_0_12,plain,
    ( ( ( epred21_1 @ $neq )
      = ( epred20_1 @ $neq ) )
    | ( epred2_1 @ $neq ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_9]) ).

thf(c_0_13,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,X8: $o > ( $o > $o ) > $o,X9: $o > ( $o > $o ) > $o,X10: $o > ( $o > $o ) > $o,X11: $o > ( $o > $o ) > $o,X12: ( $o > ( $o > $o ) > $o ) > $o,X13: ( $o > ( $o > $o ) > $o ) > $o,X14: ( $o > ( $o > $o ) > $o ) > $o,X15: ( $o > ( $o > $o ) > $o ) > $o,X16: ( $o > ( $o > $o ) > $o ) > $o,X17: ( $o > ( $o > $o ) > $o ) > $o,X18: ( $o > ( $o > $o ) > $o ) > $o] :
          ( ( ( X12 @ X4 )
            & ~ ( X12 @ X5 )
            & ~ ( X12 @ X6 )
            & ~ ( X12 @ X7 )
            & ~ ( X12 @ X8 )
            & ~ ( X12 @ X9 )
            & ~ ( X12 @ X10 )
            & ~ ( X12 @ X11 )
            & ~ ( X13 @ X4 )
            & ( X13 @ X5 )
            & ~ ( X13 @ X6 )
            & ~ ( X13 @ X7 )
            & ~ ( X13 @ X8 )
            & ~ ( X13 @ X9 )
            & ~ ( X13 @ X10 )
            & ~ ( X13 @ X11 )
            & ~ ( X14 @ X4 )
            & ~ ( X14 @ X5 )
            & ( X14 @ X6 )
            & ~ ( X14 @ X7 )
            & ~ ( X14 @ X8 )
            & ~ ( X14 @ X9 )
            & ~ ( X14 @ X10 )
            & ~ ( X14 @ X11 )
            & ~ ( X15 @ X4 )
            & ~ ( X15 @ X5 )
            & ~ ( X15 @ X6 )
            & ( X15 @ X7 )
            & ~ ( X15 @ X8 )
            & ~ ( X15 @ X9 )
            & ~ ( X15 @ X10 )
            & ~ ( X15 @ X11 )
            & ~ ( X16 @ X4 )
            & ~ ( X16 @ X5 )
            & ~ ( X16 @ X6 )
            & ~ ( X16 @ X7 )
            & ( X16 @ X8 )
            & ~ ( X16 @ X9 )
            & ~ ( X16 @ X10 )
            & ~ ( X16 @ X11 )
            & ~ ( X17 @ X4 )
            & ~ ( X17 @ X5 )
            & ~ ( X17 @ X6 )
            & ~ ( X17 @ X7 )
            & ~ ( X17 @ X8 )
            & ( X17 @ X9 )
            & ~ ( X17 @ X10 )
            & ~ ( X17 @ X11 )
            & ~ ( X18 @ X4 )
            & ~ ( X18 @ X5 )
            & ~ ( X18 @ X6 )
            & ~ ( X18 @ X7 )
            & ~ ( X18 @ X8 )
            & ~ ( X18 @ X9 )
            & ( X18 @ X10 )
            & ~ ( X18 @ X11 ) )
         => ( ~ ( X1 @ X5 @ X4 )
            | ~ ( X1 @ X6 @ X4 )
            | ~ ( X1 @ X6 @ X5 )
            | ~ ( X1 @ X7 @ X4 )
            | ~ ( X1 @ X7 @ X5 )
            | ~ ( X1 @ X7 @ X6 )
            | ~ ( X1 @ X8 @ X4 )
            | ~ ( X1 @ X8 @ X5 )
            | ~ ( X1 @ X8 @ X6 )
            | ~ ( X1 @ X8 @ X7 )
            | ~ ( X1 @ X9 @ X4 )
            | ~ ( X1 @ X9 @ X5 )
            | ~ ( X1 @ X9 @ X6 )
            | ~ ( X1 @ X9 @ X7 )
            | ~ ( X1 @ X9 @ X8 )
            | ~ ( X1 @ X10 @ X4 )
            | ~ ( X1 @ X10 @ X5 )
            | ~ ( X1 @ X10 @ X6 )
            | ~ ( X1 @ X10 @ X7 )
            | ~ ( X1 @ X10 @ X8 )
            | ~ ( X1 @ X10 @ X9 )
            | ~ ( X1 @ X11 @ X4 )
            | ~ ( X1 @ X11 @ X5 )
            | ~ ( X1 @ X11 @ X6 )
            | ~ ( X1 @ X11 @ X7 )
            | ~ ( X1 @ X11 @ X8 )
            | ~ ( X1 @ X11 @ X9 )
            | ~ ( X1 @ X11 @ X10 ) ) )
     => ( epred1_1 @ X1 ) ),
    inference(split_equiv,[status(thm)],[c_0_2]) ).

thf(c_0_14,negated_conjecture,
    ( ( ( epred4_1 @ $neq )
      = ( epred3_1 @ $neq ) )
    | ~ ( epred1_1 @ $neq )
    | ~ ( epred2_1 @ $neq ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_10]) ).

thf(c_0_15,plain,
    epred2_1 @ $neq,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

thf(c_0_16,plain,
    ! [X55: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( ( epred13_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred13_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred14_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred14_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred15_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred15_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred16_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred16_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred17_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred17_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred18_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred18_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( epred19_1 @ X55 @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ~ ( epred19_1 @ X55 @ ( epred12_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred6_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred7_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred7_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred8_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred8_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred8_1 @ X55 ) @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred9_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred9_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred9_1 @ X55 ) @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred9_1 @ X55 ) @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred10_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred10_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred10_1 @ X55 ) @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred10_1 @ X55 ) @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred10_1 @ X55 ) @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred11_1 @ X55 ) @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred5_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred6_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred7_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred8_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred9_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred10_1 @ X55 ) )
        | ( epred1_1 @ X55 ) )
      & ( ( X55 @ ( epred12_1 @ X55 ) @ ( epred11_1 @ X55 ) )
        | ( epred1_1 @ X55 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

thf(c_0_17,negated_conjecture,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( X1 @ ( epred3_1 @ X1 ) @ ( epred4_1 @ X1 ) )
      | ~ ( epred1_1 @ X1 )
      | ~ ( epred2_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_18,negated_conjecture,
    ( ( ( epred4_1 @ $neq )
      = ( epred3_1 @ $neq ) )
    | ~ ( epred1_1 @ $neq ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).

thf(c_0_19,plain,
    ! [X1: ( $o > ( $o > $o ) > $o ) > ( $o > ( $o > $o ) > $o ) > $o] :
      ( ( X1 @ ( epred10_1 @ X1 ) @ ( epred6_1 @ X1 ) )
      | ( epred1_1 @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_20,negated_conjecture,
    ~ ( epred1_1 @ $neq ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_17]),c_0_15])]),c_0_18]) ).

thf(c_0_21,plain,
    ( ( epred10_1 @ $neq )
   != ( epred6_1 @ $neq ) ),
    inference(sr,[status(thm)],[inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_19]),c_0_20]) ).

thf(c_0_22,plain,
    ( ( epred10_1 @ $neq @ esk136_0 @ esk137_1 )
  <~> ( epred6_1 @ $neq @ esk136_0 @ esk137_1 ) ),
    inference(neg_ext,[status(thm)],[c_0_21]) ).

thf(c_0_23,plain,
    epred35_0,
    inference(dynamic_cnf,[status(thm)],[c_0_22]) ).

thf(c_0_24,plain,
    epred36_0,
    inference(dynamic_cnf,[status(thm)],[c_0_22]) ).

thf(c_0_25,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_22]),c_0_23]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRA043^2 : TPTP v8.1.2. Released v3.6.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:51:42 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/tmp/tmp.gF22ipSJ9P/E---3.1_11494.p
% 0.22/0.59  # Version: 3.1.0-ho
% 0.22/0.59  # Preprocessing class: HSLSSMSSSSSNHHA.
% 0.22/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59  # Starting new_ho_10 with 600s (2) cores
% 0.22/0.59  # Starting sh3 with 600s (2) cores
% 0.22/0.59  # Starting ho_unfolding_3 with 600s (2) cores
% 0.22/0.59  # Starting new_ho_10_cnf2 with 600s (2) cores
% 0.22/0.59  # sh3 with pid 11591 completed with status 0
% 0.22/0.59  # Result found by sh3
% 0.22/0.59  # Preprocessing class: HSLSSMSSSSSNHHA.
% 0.22/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59  # Starting new_ho_10 with 600s (2) cores
% 0.22/0.59  # Starting sh3 with 600s (2) cores
% 0.22/0.59  # No SInE strategy applied
% 0.22/0.59  # Search class: HGHNF-FFMF00-SHHFFSBN
% 0.22/0.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.22/0.59  # Starting sh2lt with 123s (1) cores
% 0.22/0.59  # Starting sh3 with 61s (1) cores
% 0.22/0.59  # sh2lt with pid 11599 completed with status 0
% 0.22/0.59  # Result found by sh2lt
% 0.22/0.59  # Preprocessing class: HSLSSMSSSSSNHHA.
% 0.22/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.59  # Starting new_ho_10 with 600s (2) cores
% 0.22/0.59  # Starting sh3 with 600s (2) cores
% 0.22/0.59  # No SInE strategy applied
% 0.22/0.59  # Search class: HGHNF-FFMF00-SHHFFSBN
% 0.22/0.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.22/0.59  # Starting sh2lt with 123s (1) cores
% 0.22/0.59  # Preprocessing time       : 0.002 s
% 0.22/0.59  # Presaturation interreduction done
% 0.22/0.59  
% 0.22/0.59  # Proof found!
% 0.22/0.59  # SZS status Theorem
% 0.22/0.59  # SZS output start CNFRefutation
% See solution above
% 0.22/0.59  # Parsed axioms                        : 1
% 0.22/0.59  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.59  # Initial clauses                      : 170
% 0.22/0.59  # Removed in clause preprocessing      : 0
% 0.22/0.59  # Initial clauses in saturation        : 170
% 0.22/0.59  # Processed clauses                    : 498
% 0.22/0.59  # ...of these trivial                  : 25
% 0.22/0.59  # ...subsumed                          : 59
% 0.22/0.59  # ...remaining for further processing  : 413
% 0.22/0.59  # Other redundant clauses eliminated   : 98
% 0.22/0.59  # Clauses deleted for lack of memory   : 0
% 0.22/0.59  # Backward-subsumed                    : 4
% 0.22/0.59  # Backward-rewritten                   : 3
% 0.22/0.59  # Generated clauses                    : 870
% 0.22/0.59  # ...of the previous two non-redundant : 667
% 0.22/0.59  # ...aggressively subsumed             : 0
% 0.22/0.59  # Contextual simplify-reflections      : 2
% 0.22/0.59  # Paramodulations                      : 26
% 0.22/0.59  # Factorizations                       : 0
% 0.22/0.59  # NegExts                              : 138
% 0.22/0.59  # Equation resolutions                 : 98
% 0.22/0.59  # Disequality decompositions           : 0
% 0.22/0.59  # Total rewrite steps                  : 60
% 0.22/0.59  # ...of those cached                   : 53
% 0.22/0.59  # Propositional unsat checks           : 0
% 0.22/0.59  #    Propositional check models        : 0
% 0.22/0.59  #    Propositional check unsatisfiable : 0
% 0.22/0.59  #    Propositional clauses             : 0
% 0.22/0.59  #    Propositional clauses after purity: 0
% 0.22/0.59  #    Propositional unsat core size     : 0
% 0.22/0.59  #    Propositional preprocessing time  : 0.000
% 0.22/0.59  #    Propositional encoding time       : 0.000
% 0.22/0.59  #    Propositional solver time         : 0.000
% 0.22/0.59  #    Success case prop preproc time    : 0.000
% 0.22/0.59  #    Success case prop encoding time   : 0.000
% 0.22/0.59  #    Success case prop solver time     : 0.000
% 0.22/0.59  # Current number of processed clauses  : 232
% 0.22/0.59  #    Positive orientable unit clauses  : 7
% 0.22/0.59  #    Positive unorientable unit clauses: 0
% 0.22/0.59  #    Negative unit clauses             : 3
% 0.22/0.59  #    Non-unit-clauses                  : 222
% 0.22/0.59  # Current number of unprocessed clauses: 509
% 0.22/0.59  # ...number of literals in the above   : 1182
% 0.22/0.59  # Current number of archived formulas  : 0
% 0.22/0.59  # Current number of archived clauses   : 181
% 0.22/0.59  # Clause-clause subsumption calls (NU) : 5135
% 0.22/0.59  # Rec. Clause-clause subsumption calls : 4719
% 0.22/0.59  # Non-unit clause-clause subsumptions  : 61
% 0.22/0.59  # Unit Clause-clause subsumption calls : 1032
% 0.22/0.59  # Rewrite failures with RHS unbound    : 0
% 0.22/0.59  # BW rewrite match attempts            : 1
% 0.22/0.59  # BW rewrite match successes           : 1
% 0.22/0.59  # Condensation attempts                : 0
% 0.22/0.59  # Condensation successes               : 0
% 0.22/0.59  # Termbank termtop insertions          : 83101
% 0.22/0.59  # Search garbage collected termcells   : 3858
% 0.22/0.59  
% 0.22/0.59  # -------------------------------------------------
% 0.22/0.59  # User time                : 0.076 s
% 0.22/0.59  # System time              : 0.004 s
% 0.22/0.59  # Total time               : 0.080 s
% 0.22/0.59  # Maximum resident set size: 2440 pages
% 0.22/0.59  
% 0.22/0.59  # -------------------------------------------------
% 0.22/0.59  # User time                : 0.135 s
% 0.22/0.59  # System time              : 0.009 s
% 0.22/0.59  # Total time               : 0.143 s
% 0.22/0.59  # Maximum resident set size: 1768 pages
% 0.22/0.59  % E---3.1 exiting
% 0.22/0.59  % E exiting
%------------------------------------------------------------------------------