TSTP Solution File: SYN506+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:16:52 EDT 2023

% Result   : Timeout 13.67s 300.05s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  379 (   2 unt;   0 def)
%            Number of atoms       : 3940 (   0 equ)
%            Maximal formula atoms :  846 (  10 avg)
%            Number of connectives : 5379 (1818   ~;2681   |; 585   &)
%                                         (  43 <=>; 252  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  324 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   78 (  77 usr;  74 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  596 (   0 sgn; 421   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c2_1(a322)
          & c3_1(a322)
          & ~ c0_1(a322) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c1_1(a323)
          & ~ c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & ~ c0_1(a324)
          & ~ c1_1(a324)
          & ~ c3_1(a324) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a325)
          & c1_1(a325)
          & ~ c2_1(a325) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a326)
          & c2_1(a326)
          & ~ c1_1(a326) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a327)
          & c1_1(a327)
          & ~ c3_1(a327) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a329)
          & ~ c1_1(a329)
          & ~ c3_1(a329) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c3_1(a330)
          & ~ c0_1(a330)
          & ~ c1_1(a330) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c0_1(a332)
          & ~ c2_1(a332)
          & ~ c3_1(a332) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c2_1(a334)
          & ~ c0_1(a334)
          & ~ c1_1(a334) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a337)
          & ~ c2_1(a337)
          & ~ c3_1(a337) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a338)
          & ~ c1_1(a338)
          & ~ c2_1(a338) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a345)
          & c3_1(a345)
          & ~ c2_1(a345) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a346)
          & c2_1(a346)
          & ~ c3_1(a346) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a347)
          & c3_1(a347)
          & ~ c1_1(a347) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a348)
          & ~ c1_1(a348)
          & ~ c3_1(a348) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a349)
          & c3_1(a349)
          & ~ c2_1(a349) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c1_1(a353)
          & c2_1(a353)
          & ~ c0_1(a353) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a354)
          & ~ c2_1(a354)
          & ~ c3_1(a354) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a355)
          & c2_1(a355)
          & ~ c3_1(a355) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c2_1(a358)
          & ~ c0_1(a358)
          & ~ c3_1(a358) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a359)
          & ~ c0_1(a359)
          & ~ c2_1(a359) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c3_1(a367)
          & ~ c1_1(a367)
          & ~ c2_1(a367) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a377)
          & c3_1(a377)
          & ~ c0_1(a377) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a401)
          & ~ c0_1(a401)
          & ~ c2_1(a401) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a419)
          & ~ c1_1(a419)
          & ~ c2_1(a419) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a333)
          & c1_1(a333)
          & c3_1(a333) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c1_1(a341)
          & c2_1(a341)
          & c3_1(a341) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a343)
          & c1_1(a343)
          & c2_1(a343) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | ~ c1_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c2_1(X4)
              | ~ c3_1(X4) ) )
        | hskp1 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c2_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c3_1(X6)
              | ~ c2_1(X6) ) )
        | hskp2 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | hskp3
        | hskp4 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c2_1(X8) ) )
        | hskp5
        | hskp1 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c0_1(X10)
              | ~ c1_1(X10)
              | ~ c2_1(X10) ) )
        | hskp6 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | c3_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c0_1(X12)
              | ~ c2_1(X12)
              | ~ c3_1(X12) ) )
        | hskp7 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c1_1(X14)
              | ~ c2_1(X14) ) )
        | hskp5 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | ~ c0_1(X16)
              | ~ c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | ~ c2_1(X17)
              | ~ c3_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | ~ c2_1(X19)
              | ~ c3_1(X19) ) )
        | hskp8 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c3_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | c2_1(X21)
              | ~ c0_1(X21) ) )
        | hskp26 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | c2_1(X23)
              | ~ c0_1(X23) ) )
        | hskp9 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c1_1(X24)
              | ~ c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c1_1(X25)
              | ~ c2_1(X25) ) )
        | hskp7 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | hskp5
        | hskp10 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c3_1(X28)
              | ~ c1_1(X28) ) )
        | hskp11 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | ~ c0_1(X30)
              | ~ c2_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | c3_1(X31)
              | ~ c0_1(X31) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c1_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) )
        | hskp5 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | ~ c0_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c0_1(X36)
              | ~ c2_1(X36)
              | ~ c3_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c3_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c1_1(X39)
              | ~ c2_1(X39) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | ~ c1_1(X41)
              | ~ c2_1(X41) ) )
        | hskp4 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c3_1(X43)
              | ~ c1_1(X43) ) )
        | hskp27 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | hskp7 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c1_1(X47)
              | c2_1(X47)
              | ~ c0_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c1_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) ) )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c2_1(X49)
              | ~ c3_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | ~ c0_1(X50)
              | ~ c3_1(X50) ) )
        | hskp28 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c3_1(X51)
              | ~ c1_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c1_1(X52)
              | ~ c0_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c0_1(X55)
              | ~ c3_1(X55) ) )
        | hskp26 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | ~ c0_1(X57)
              | ~ c3_1(X57) ) )
        | hskp12 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) )
        | hskp13
        | hskp14 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | ~ c1_1(X59)
              | ~ c2_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c0_1(X60) ) )
        | hskp15 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp16
        | hskp9 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c2_1(X63)
              | ~ c0_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c2_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c2_1(X66) ) )
        | hskp12 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | ~ c0_1(X68)
              | ~ c2_1(X68) ) )
        | hskp4 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp17
        | hskp18 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c0_1(X70)
              | ~ c2_1(X70)
              | ~ c3_1(X70) ) )
        | hskp19
        | hskp11 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c2_1(X72)
              | ~ c3_1(X72) ) )
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c0_1(X74)
              | ~ c3_1(X74) ) )
        | hskp20 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c3_1(X76)
              | ~ c0_1(X76)
              | ~ c1_1(X76) ) )
        | hskp21 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | hskp5
        | hskp14 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | c3_1(X78) ) )
        | hskp15
        | hskp16 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c0_1(X79) ) )
        | hskp19
        | hskp0 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c0_1(X80) ) )
        | hskp7
        | hskp22 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c2_1(X81)
              | ~ c3_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c0_1(X82)
              | ~ c3_1(X82) ) )
        | hskp2 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c2_1(X83)
              | ~ c3_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | ~ c1_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c3_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp22 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | c3_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c2_1(X89) ) )
        | hskp5 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | c3_1(X90)
              | ~ c2_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) )
        | hskp19 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c2_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c3_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | hskp19 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c2_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp6 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c2_1(X96) ) )
        | hskp26
        | hskp27 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c1_1(X98)
              | ~ c3_1(X98) ) )
        | hskp14 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c1_1(X99)
              | ~ c0_1(X99)
              | ~ c3_1(X99) ) )
        | hskp23
        | hskp22 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c1_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp17 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | ~ c2_1(X103)
              | ~ c3_1(X103) ) )
        | hskp22 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c1_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp15 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | c3_1(X105)
              | ~ c0_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c3_1(X106) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) ) )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | c3_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( ~ c0_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp10 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c2_1(X110)
              | c3_1(X110)
              | ~ c0_1(X110) ) )
        | hskp28
        | hskp27 )
      & ( ! [X111] :
            ( ndr1_0
           => ( c2_1(X111)
              | c3_1(X111)
              | ~ c0_1(X111) ) )
        | hskp3
        | hskp8 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c2_1(X112)
              | ~ c0_1(X112)
              | ~ c1_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( c3_1(X113)
              | ~ c0_1(X113)
              | ~ c1_1(X113) ) )
        | hskp8 )
      & ( ! [X114] :
            ( ndr1_0
           => ( c2_1(X114)
              | ~ c0_1(X114)
              | ~ c1_1(X114) ) )
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp20 )
      & ( ! [X116] :
            ( ndr1_0
           => ( c2_1(X116)
              | ~ c0_1(X116)
              | ~ c1_1(X116) ) )
        | hskp13
        | hskp12 )
      & ( ! [X117] :
            ( ndr1_0
           => ( c2_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | hskp28 )
      & ( ! [X118] :
            ( ndr1_0
           => ( c3_1(X118)
              | ~ c0_1(X118)
              | ~ c2_1(X118) ) )
        | hskp3
        | hskp10 )
      & ( ! [X119] :
            ( ndr1_0
           => ( c3_1(X119)
              | ~ c0_1(X119)
              | ~ c2_1(X119) ) )
        | hskp4
        | hskp16 )
      & ( ! [X120] :
            ( ndr1_0
           => ( c3_1(X120)
              | ~ c0_1(X120)
              | ~ c2_1(X120) ) )
        | hskp2
        | hskp1 )
      & ( ! [X121] :
            ( ndr1_0
           => ( c3_1(X121)
              | ~ c1_1(X121)
              | ~ c2_1(X121) ) )
        | hskp28
        | hskp7 )
      & ( ! [X122] :
            ( ndr1_0
           => ( ~ c0_1(X122)
              | ~ c1_1(X122)
              | ~ c2_1(X122) ) )
        | hskp17
        | hskp24 )
      & ( ! [X123] :
            ( ndr1_0
           => ( ~ c0_1(X123)
              | ~ c1_1(X123)
              | ~ c3_1(X123) ) )
        | ! [X124] :
            ( ndr1_0
           => ( ~ c1_1(X124)
              | ~ c2_1(X124)
              | ~ c3_1(X124) ) )
        | hskp10 )
      & ( ! [X125] :
            ( ndr1_0
           => ( ~ c0_1(X125)
              | ~ c2_1(X125)
              | ~ c3_1(X125) ) )
        | hskp5
        | hskp16 )
      & ( ! [X126] :
            ( ndr1_0
           => ( ~ c1_1(X126)
              | ~ c2_1(X126)
              | ~ c3_1(X126) ) )
        | hskp3
        | hskp10 )
      & ( hskp26
        | hskp24
        | hskp2 )
      & ( hskp3
        | hskp5
        | hskp4 )
      & ( hskp4
        | hskp13
        | hskp8 )
      & ( hskp12
        | hskp17
        | hskp14 )
      & ( hskp25
        | hskp16 )
      & ( hskp25
        | hskp11
        | hskp1 )
      & ( hskp17
        | hskp24
        | hskp8 )
      & ( hskp17
        | hskp18
        | hskp11 )
      & ( hskp24
        | hskp7 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.xSWIc2iDHT/E---3.1_3542.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c2_1(a322)
            & c3_1(a322)
            & ~ c0_1(a322) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c1_1(a323)
            & ~ c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & ~ c0_1(a324)
            & ~ c1_1(a324)
            & ~ c3_1(a324) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a325)
            & c1_1(a325)
            & ~ c2_1(a325) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a326)
            & c2_1(a326)
            & ~ c1_1(a326) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a327)
            & c1_1(a327)
            & ~ c3_1(a327) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a329)
            & ~ c1_1(a329)
            & ~ c3_1(a329) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c3_1(a330)
            & ~ c0_1(a330)
            & ~ c1_1(a330) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c0_1(a332)
            & ~ c2_1(a332)
            & ~ c3_1(a332) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c2_1(a334)
            & ~ c0_1(a334)
            & ~ c1_1(a334) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a337)
            & ~ c2_1(a337)
            & ~ c3_1(a337) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a338)
            & ~ c1_1(a338)
            & ~ c2_1(a338) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a345)
            & c3_1(a345)
            & ~ c2_1(a345) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a346)
            & c2_1(a346)
            & ~ c3_1(a346) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a347)
            & c3_1(a347)
            & ~ c1_1(a347) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a348)
            & ~ c1_1(a348)
            & ~ c3_1(a348) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a349)
            & c3_1(a349)
            & ~ c2_1(a349) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c1_1(a353)
            & c2_1(a353)
            & ~ c0_1(a353) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a354)
            & ~ c2_1(a354)
            & ~ c3_1(a354) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a355)
            & c2_1(a355)
            & ~ c3_1(a355) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c2_1(a358)
            & ~ c0_1(a358)
            & ~ c3_1(a358) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a359)
            & ~ c0_1(a359)
            & ~ c2_1(a359) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c3_1(a367)
            & ~ c1_1(a367)
            & ~ c2_1(a367) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a377)
            & c3_1(a377)
            & ~ c0_1(a377) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a401)
            & ~ c0_1(a401)
            & ~ c2_1(a401) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a419)
            & ~ c1_1(a419)
            & ~ c2_1(a419) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a333)
            & c1_1(a333)
            & c3_1(a333) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c1_1(a341)
            & c2_1(a341)
            & c3_1(a341) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a343)
            & c1_1(a343)
            & c2_1(a343) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | ~ c1_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c2_1(X4)
                | ~ c3_1(X4) ) )
          | hskp1 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c2_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c3_1(X6)
                | ~ c2_1(X6) ) )
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | hskp3
          | hskp4 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) )
          | hskp5
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c0_1(X10)
                | ~ c1_1(X10)
                | ~ c2_1(X10) ) )
          | hskp6 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | c3_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c0_1(X12)
                | ~ c2_1(X12)
                | ~ c3_1(X12) ) )
          | hskp7 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c1_1(X14)
                | ~ c2_1(X14) ) )
          | hskp5 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | ~ c0_1(X16)
                | ~ c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | ~ c2_1(X17)
                | ~ c3_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c2_1(X19)
                | ~ c3_1(X19) ) )
          | hskp8 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c3_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | c2_1(X21)
                | ~ c0_1(X21) ) )
          | hskp26 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | ~ c0_1(X23) ) )
          | hskp9 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c1_1(X24)
                | ~ c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | ~ c2_1(X25) ) )
          | hskp7 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | hskp5
          | hskp10 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | hskp11 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | ~ c0_1(X30)
                | ~ c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | c3_1(X31)
                | ~ c0_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c1_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | hskp5 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | ~ c0_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | ~ c2_1(X36)
                | ~ c3_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c3_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c1_1(X39)
                | ~ c2_1(X39) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | ~ c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp4 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c3_1(X43)
                | ~ c1_1(X43) ) )
          | hskp27 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | hskp7 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c1_1(X47)
                | c2_1(X47)
                | ~ c0_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c2_1(X49)
                | ~ c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) )
          | hskp28 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c3_1(X51)
                | ~ c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c1_1(X52)
                | ~ c0_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c0_1(X55)
                | ~ c3_1(X55) ) )
          | hskp26 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | ~ c0_1(X57)
                | ~ c3_1(X57) ) )
          | hskp12 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) )
          | hskp13
          | hskp14 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | ~ c1_1(X59)
                | ~ c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c0_1(X60) ) )
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp16
          | hskp9 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c2_1(X63)
                | ~ c0_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c2_1(X66) ) )
          | hskp12 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | ~ c0_1(X68)
                | ~ c2_1(X68) ) )
          | hskp4 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17
          | hskp18 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c0_1(X70)
                | ~ c2_1(X70)
                | ~ c3_1(X70) ) )
          | hskp19
          | hskp11 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c2_1(X72)
                | ~ c3_1(X72) ) )
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c0_1(X74)
                | ~ c3_1(X74) ) )
          | hskp20 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | ~ c0_1(X76)
                | ~ c1_1(X76) ) )
          | hskp21 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | hskp5
          | hskp14 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | c3_1(X78) ) )
          | hskp15
          | hskp16 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c0_1(X79) ) )
          | hskp19
          | hskp0 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c0_1(X80) ) )
          | hskp7
          | hskp22 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c2_1(X81)
                | ~ c3_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c0_1(X82)
                | ~ c3_1(X82) ) )
          | hskp2 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c2_1(X83)
                | ~ c3_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | ~ c1_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c3_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp22 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | c3_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c2_1(X89) ) )
          | hskp5 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | c3_1(X90)
                | ~ c2_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | hskp19 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c2_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c3_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | hskp19 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp6 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c2_1(X96) ) )
          | hskp26
          | hskp27 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp14 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c1_1(X99)
                | ~ c0_1(X99)
                | ~ c3_1(X99) ) )
          | hskp23
          | hskp22 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c1_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp17 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c2_1(X103)
                | ~ c3_1(X103) ) )
          | hskp22 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c1_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp15 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c3_1(X105)
                | ~ c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c3_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | c3_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c0_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp10 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c3_1(X110)
                | ~ c0_1(X110) ) )
          | hskp28
          | hskp27 )
        & ( ! [X111] :
              ( ndr1_0
             => ( c2_1(X111)
                | c3_1(X111)
                | ~ c0_1(X111) ) )
          | hskp3
          | hskp8 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | ~ c0_1(X112)
                | ~ c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c0_1(X113)
                | ~ c1_1(X113) ) )
          | hskp8 )
        & ( ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | ~ c0_1(X114)
                | ~ c1_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp20 )
        & ( ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c0_1(X116)
                | ~ c1_1(X116) ) )
          | hskp13
          | hskp12 )
        & ( ! [X117] :
              ( ndr1_0
             => ( c2_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp28 )
        & ( ! [X118] :
              ( ndr1_0
             => ( c3_1(X118)
                | ~ c0_1(X118)
                | ~ c2_1(X118) ) )
          | hskp3
          | hskp10 )
        & ( ! [X119] :
              ( ndr1_0
             => ( c3_1(X119)
                | ~ c0_1(X119)
                | ~ c2_1(X119) ) )
          | hskp4
          | hskp16 )
        & ( ! [X120] :
              ( ndr1_0
             => ( c3_1(X120)
                | ~ c0_1(X120)
                | ~ c2_1(X120) ) )
          | hskp2
          | hskp1 )
        & ( ! [X121] :
              ( ndr1_0
             => ( c3_1(X121)
                | ~ c1_1(X121)
                | ~ c2_1(X121) ) )
          | hskp28
          | hskp7 )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c0_1(X122)
                | ~ c1_1(X122)
                | ~ c2_1(X122) ) )
          | hskp17
          | hskp24 )
        & ( ! [X123] :
              ( ndr1_0
             => ( ~ c0_1(X123)
                | ~ c1_1(X123)
                | ~ c3_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( ~ c1_1(X124)
                | ~ c2_1(X124)
                | ~ c3_1(X124) ) )
          | hskp10 )
        & ( ! [X125] :
              ( ndr1_0
             => ( ~ c0_1(X125)
                | ~ c2_1(X125)
                | ~ c3_1(X125) ) )
          | hskp5
          | hskp16 )
        & ( ! [X126] :
              ( ndr1_0
             => ( ~ c1_1(X126)
                | ~ c2_1(X126)
                | ~ c3_1(X126) ) )
          | hskp3
          | hskp10 )
        & ( hskp26
          | hskp24
          | hskp2 )
        & ( hskp3
          | hskp5
          | hskp4 )
        & ( hskp4
          | hskp13
          | hskp8 )
        & ( hskp12
          | hskp17
          | hskp14 )
        & ( hskp25
          | hskp16 )
        & ( hskp25
          | hskp11
          | hskp1 )
        & ( hskp17
          | hskp24
          | hskp8 )
        & ( hskp17
          | hskp18
          | hskp11 )
        & ( hskp24
          | hskp7 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238,X239,X240,X241,X242,X243,X244,X245,X246,X247,X248,X249,X250,X251,X252] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c2_1(a322)
        | ~ hskp0 )
      & ( c3_1(a322)
        | ~ hskp0 )
      & ( ~ c0_1(a322)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( ~ c1_1(a323)
        | ~ hskp1 )
      & ( ~ c2_1(a323)
        | ~ hskp1 )
      & ( ~ c3_1(a323)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( ~ c0_1(a324)
        | ~ hskp2 )
      & ( ~ c1_1(a324)
        | ~ hskp2 )
      & ( ~ c3_1(a324)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a325)
        | ~ hskp3 )
      & ( c1_1(a325)
        | ~ hskp3 )
      & ( ~ c2_1(a325)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a326)
        | ~ hskp4 )
      & ( c2_1(a326)
        | ~ hskp4 )
      & ( ~ c1_1(a326)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c0_1(a327)
        | ~ hskp5 )
      & ( c1_1(a327)
        | ~ hskp5 )
      & ( ~ c3_1(a327)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c2_1(a329)
        | ~ hskp6 )
      & ( ~ c1_1(a329)
        | ~ hskp6 )
      & ( ~ c3_1(a329)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c3_1(a330)
        | ~ hskp7 )
      & ( ~ c0_1(a330)
        | ~ hskp7 )
      & ( ~ c1_1(a330)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( ~ c0_1(a332)
        | ~ hskp8 )
      & ( ~ c2_1(a332)
        | ~ hskp8 )
      & ( ~ c3_1(a332)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c2_1(a334)
        | ~ hskp9 )
      & ( ~ c0_1(a334)
        | ~ hskp9 )
      & ( ~ c1_1(a334)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c0_1(a337)
        | ~ hskp10 )
      & ( ~ c2_1(a337)
        | ~ hskp10 )
      & ( ~ c3_1(a337)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( ~ c0_1(a338)
        | ~ hskp11 )
      & ( ~ c1_1(a338)
        | ~ hskp11 )
      & ( ~ c2_1(a338)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a345)
        | ~ hskp12 )
      & ( c3_1(a345)
        | ~ hskp12 )
      & ( ~ c2_1(a345)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a346)
        | ~ hskp13 )
      & ( c2_1(a346)
        | ~ hskp13 )
      & ( ~ c3_1(a346)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c2_1(a347)
        | ~ hskp14 )
      & ( c3_1(a347)
        | ~ hskp14 )
      & ( ~ c1_1(a347)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c0_1(a348)
        | ~ hskp15 )
      & ( ~ c1_1(a348)
        | ~ hskp15 )
      & ( ~ c3_1(a348)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c1_1(a349)
        | ~ hskp16 )
      & ( c3_1(a349)
        | ~ hskp16 )
      & ( ~ c2_1(a349)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c1_1(a353)
        | ~ hskp17 )
      & ( c2_1(a353)
        | ~ hskp17 )
      & ( ~ c0_1(a353)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a354)
        | ~ hskp18 )
      & ( ~ c2_1(a354)
        | ~ hskp18 )
      & ( ~ c3_1(a354)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a355)
        | ~ hskp19 )
      & ( c2_1(a355)
        | ~ hskp19 )
      & ( ~ c3_1(a355)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c2_1(a358)
        | ~ hskp20 )
      & ( ~ c0_1(a358)
        | ~ hskp20 )
      & ( ~ c3_1(a358)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c3_1(a359)
        | ~ hskp21 )
      & ( ~ c0_1(a359)
        | ~ hskp21 )
      & ( ~ c2_1(a359)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c3_1(a367)
        | ~ hskp22 )
      & ( ~ c1_1(a367)
        | ~ hskp22 )
      & ( ~ c2_1(a367)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c1_1(a377)
        | ~ hskp23 )
      & ( c3_1(a377)
        | ~ hskp23 )
      & ( ~ c0_1(a377)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c1_1(a401)
        | ~ hskp24 )
      & ( ~ c0_1(a401)
        | ~ hskp24 )
      & ( ~ c2_1(a401)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a419)
        | ~ hskp25 )
      & ( ~ c1_1(a419)
        | ~ hskp25 )
      & ( ~ c2_1(a419)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a333)
        | ~ hskp26 )
      & ( c1_1(a333)
        | ~ hskp26 )
      & ( c3_1(a333)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c1_1(a341)
        | ~ hskp27 )
      & ( c2_1(a341)
        | ~ hskp27 )
      & ( c3_1(a341)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a343)
        | ~ hskp28 )
      & ( c1_1(a343)
        | ~ hskp28 )
      & ( c2_1(a343)
        | ~ hskp28 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c2_1(X127)
        | ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c1_1(X128)
        | hskp0 )
      & ( ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | c2_1(X129)
        | ~ ndr1_0
        | c0_1(X130)
        | c2_1(X130)
        | ~ c3_1(X130)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X131)
        | c1_1(X131)
        | c2_1(X131)
        | ~ ndr1_0
        | c1_1(X132)
        | c3_1(X132)
        | ~ c2_1(X132)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | c2_1(X133)
        | hskp3
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | c2_1(X134)
        | hskp5
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c1_1(X135)
        | c3_1(X135)
        | ~ ndr1_0
        | ~ c0_1(X136)
        | ~ c1_1(X136)
        | ~ c2_1(X136)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X137)
        | c1_1(X137)
        | c3_1(X137)
        | ~ ndr1_0
        | ~ c0_1(X138)
        | ~ c2_1(X138)
        | ~ c3_1(X138)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X139)
        | c1_1(X139)
        | ~ c2_1(X139)
        | ~ ndr1_0
        | c0_1(X140)
        | ~ c1_1(X140)
        | ~ c2_1(X140)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X141)
        | c1_1(X141)
        | ~ c2_1(X141)
        | ~ ndr1_0
        | c1_1(X142)
        | ~ c0_1(X142)
        | ~ c3_1(X142)
        | ~ ndr1_0
        | c1_1(X143)
        | ~ c2_1(X143)
        | ~ c3_1(X143) )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c1_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0
        | ~ c1_1(X145)
        | ~ c2_1(X145)
        | ~ c3_1(X145)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X146)
        | c1_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c1_1(X147)
        | c2_1(X147)
        | ~ c0_1(X147)
        | hskp26 )
      & ( ~ ndr1_0
        | c0_1(X148)
        | c1_1(X148)
        | ~ c3_1(X148)
        | ~ ndr1_0
        | c1_1(X149)
        | c2_1(X149)
        | ~ c0_1(X149)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X150)
        | c1_1(X150)
        | ~ c3_1(X150)
        | ~ ndr1_0
        | ~ c0_1(X151)
        | ~ c1_1(X151)
        | ~ c2_1(X151)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | c3_1(X152)
        | hskp5
        | hskp10 )
      & ( ~ ndr1_0
        | c0_1(X153)
        | c2_1(X153)
        | ~ c1_1(X153)
        | ~ ndr1_0
        | c0_1(X154)
        | c3_1(X154)
        | ~ c1_1(X154)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X155)
        | c2_1(X155)
        | ~ c1_1(X155)
        | ~ ndr1_0
        | c1_1(X156)
        | ~ c0_1(X156)
        | ~ c2_1(X156)
        | ~ ndr1_0
        | c2_1(X157)
        | c3_1(X157)
        | ~ c0_1(X157) )
      & ( ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | ~ c1_1(X158)
        | ~ ndr1_0
        | c1_1(X159)
        | ~ c2_1(X159)
        | ~ c3_1(X159)
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c1_1(X160)
        | ~ ndr1_0
        | c2_1(X161)
        | ~ c0_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c0_1(X163)
        | c2_1(X163)
        | ~ c1_1(X163)
        | ~ ndr1_0
        | c3_1(X164)
        | ~ c1_1(X164)
        | ~ c2_1(X164)
        | ~ ndr1_0
        | ~ c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165) )
      & ( ~ ndr1_0
        | c0_1(X166)
        | c2_1(X166)
        | ~ c1_1(X166)
        | ~ ndr1_0
        | c3_1(X167)
        | ~ c1_1(X167)
        | ~ c2_1(X167)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X168)
        | c2_1(X168)
        | ~ c3_1(X168)
        | ~ ndr1_0
        | c0_1(X169)
        | c3_1(X169)
        | ~ c1_1(X169)
        | hskp27 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | c2_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c0_1(X171)
        | c3_1(X171)
        | ~ c1_1(X171)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | c2_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | c1_1(X173)
        | c2_1(X173)
        | ~ c0_1(X173)
        | ~ ndr1_0
        | c1_1(X174)
        | ~ c2_1(X174)
        | ~ c3_1(X174) )
      & ( ~ ndr1_0
        | c0_1(X175)
        | c2_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c3_1(X176)
        | hskp28 )
      & ( ~ ndr1_0
        | c0_1(X177)
        | c3_1(X177)
        | ~ c1_1(X177)
        | ~ ndr1_0
        | c1_1(X178)
        | ~ c0_1(X178)
        | ~ c2_1(X178)
        | ~ ndr1_0
        | c2_1(X179)
        | c3_1(X179)
        | ~ c1_1(X179) )
      & ( ~ ndr1_0
        | c0_1(X180)
        | c3_1(X180)
        | ~ c1_1(X180)
        | ~ ndr1_0
        | c2_1(X181)
        | ~ c0_1(X181)
        | ~ c3_1(X181)
        | hskp26 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | c3_1(X182)
        | ~ c2_1(X182)
        | ~ ndr1_0
        | c1_1(X183)
        | ~ c0_1(X183)
        | ~ c3_1(X183)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X184)
        | c3_1(X184)
        | ~ c2_1(X184)
        | hskp13
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X185)
        | ~ c1_1(X185)
        | ~ c2_1(X185)
        | ~ ndr1_0
        | c1_1(X186)
        | c2_1(X186)
        | ~ c0_1(X186)
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X187)
        | ~ c1_1(X187)
        | ~ c2_1(X187)
        | hskp16
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c1_1(X188)
        | ~ c3_1(X188)
        | ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | ~ c0_1(X189)
        | ~ ndr1_0
        | c2_1(X190)
        | ~ c1_1(X190)
        | ~ c3_1(X190) )
      & ( ~ ndr1_0
        | c0_1(X191)
        | ~ c1_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c1_1(X192)
        | ~ c0_1(X192)
        | ~ c2_1(X192)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X193)
        | ~ c2_1(X193)
        | ~ c3_1(X193)
        | ~ ndr1_0
        | c3_1(X194)
        | ~ c0_1(X194)
        | ~ c2_1(X194)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X195)
        | ~ c2_1(X195)
        | ~ c3_1(X195)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X196)
        | ~ c2_1(X196)
        | ~ c3_1(X196)
        | hskp19
        | hskp11 )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c2_1(X197)
        | c3_1(X197)
        | ~ ndr1_0
        | c1_1(X198)
        | c2_1(X198)
        | ~ c3_1(X198)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X199)
        | c2_1(X199)
        | c3_1(X199)
        | ~ ndr1_0
        | c1_1(X200)
        | ~ c0_1(X200)
        | ~ c3_1(X200)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X201)
        | c2_1(X201)
        | c3_1(X201)
        | ~ ndr1_0
        | c3_1(X202)
        | ~ c0_1(X202)
        | ~ c1_1(X202)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X203)
        | c2_1(X203)
        | c3_1(X203)
        | hskp5
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X204)
        | c2_1(X204)
        | c3_1(X204)
        | hskp15
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | c2_1(X205)
        | ~ c0_1(X205)
        | hskp19
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X206)
        | c2_1(X206)
        | ~ c0_1(X206)
        | hskp7
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X207)
        | c2_1(X207)
        | ~ c3_1(X207)
        | ~ ndr1_0
        | c2_1(X208)
        | ~ c0_1(X208)
        | ~ c3_1(X208)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X209)
        | c2_1(X209)
        | ~ c3_1(X209)
        | ~ ndr1_0
        | c2_1(X210)
        | ~ c1_1(X210)
        | ~ c3_1(X210)
        | ~ ndr1_0
        | ~ c0_1(X211)
        | ~ c1_1(X211)
        | ~ c2_1(X211) )
      & ( ~ ndr1_0
        | c1_1(X212)
        | c3_1(X212)
        | ~ c0_1(X212)
        | ~ ndr1_0
        | c2_1(X213)
        | c3_1(X213)
        | ~ c0_1(X213)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X214)
        | c3_1(X214)
        | ~ c2_1(X214)
        | ~ ndr1_0
        | c1_1(X215)
        | ~ c0_1(X215)
        | ~ c2_1(X215)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X216)
        | c3_1(X216)
        | ~ c2_1(X216)
        | ~ ndr1_0
        | c1_1(X217)
        | ~ c0_1(X217)
        | ~ c3_1(X217)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X218)
        | ~ c0_1(X218)
        | ~ c2_1(X218)
        | ~ ndr1_0
        | c3_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X220)
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ ndr1_0
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X222)
        | ~ c0_1(X222)
        | ~ c2_1(X222)
        | hskp26
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X223)
        | ~ c0_1(X223)
        | ~ c3_1(X223)
        | ~ ndr1_0
        | c2_1(X224)
        | ~ c1_1(X224)
        | ~ c3_1(X224)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X225)
        | ~ c0_1(X225)
        | ~ c3_1(X225)
        | hskp23
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X226)
        | ~ c2_1(X226)
        | ~ c3_1(X226)
        | ~ ndr1_0
        | c2_1(X227)
        | ~ c0_1(X227)
        | ~ c1_1(X227)
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X228)
        | ~ c2_1(X228)
        | ~ c3_1(X228)
        | ~ ndr1_0
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | ~ c3_1(X229)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X230)
        | ~ c2_1(X230)
        | ~ c3_1(X230)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X231)
        | c3_1(X231)
        | ~ c0_1(X231)
        | ~ ndr1_0
        | c2_1(X232)
        | ~ c0_1(X232)
        | ~ c3_1(X232)
        | ~ ndr1_0
        | ~ c0_1(X233)
        | ~ c2_1(X233)
        | ~ c3_1(X233) )
      & ( ~ ndr1_0
        | c2_1(X234)
        | c3_1(X234)
        | ~ c0_1(X234)
        | ~ ndr1_0
        | ~ c0_1(X235)
        | ~ c1_1(X235)
        | ~ c2_1(X235)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X236)
        | c3_1(X236)
        | ~ c0_1(X236)
        | hskp28
        | hskp27 )
      & ( ~ ndr1_0
        | c2_1(X237)
        | c3_1(X237)
        | ~ c0_1(X237)
        | hskp3
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X238)
        | ~ c0_1(X238)
        | ~ c1_1(X238)
        | ~ ndr1_0
        | c3_1(X239)
        | ~ c0_1(X239)
        | ~ c1_1(X239)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X240)
        | ~ c0_1(X240)
        | ~ c1_1(X240)
        | ~ ndr1_0
        | ~ c1_1(X241)
        | ~ c2_1(X241)
        | ~ c3_1(X241)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X242)
        | ~ c0_1(X242)
        | ~ c1_1(X242)
        | hskp13
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X243)
        | ~ c1_1(X243)
        | ~ c3_1(X243)
        | hskp28 )
      & ( ~ ndr1_0
        | c3_1(X244)
        | ~ c0_1(X244)
        | ~ c2_1(X244)
        | hskp3
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X245)
        | ~ c0_1(X245)
        | ~ c2_1(X245)
        | hskp4
        | hskp16 )
      & ( ~ ndr1_0
        | c3_1(X246)
        | ~ c0_1(X246)
        | ~ c2_1(X246)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c3_1(X247)
        | ~ c1_1(X247)
        | ~ c2_1(X247)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X248)
        | ~ c1_1(X248)
        | ~ c2_1(X248)
        | hskp17
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X249)
        | ~ c1_1(X249)
        | ~ c3_1(X249)
        | ~ ndr1_0
        | ~ c1_1(X250)
        | ~ c2_1(X250)
        | ~ c3_1(X250)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X251)
        | ~ c2_1(X251)
        | ~ c3_1(X251)
        | hskp5
        | hskp16 )
      & ( ~ ndr1_0
        | ~ c1_1(X252)
        | ~ c2_1(X252)
        | ~ c3_1(X252)
        | hskp3
        | hskp10 )
      & ( hskp26
        | hskp24
        | hskp2 )
      & ( hskp3
        | hskp5
        | hskp4 )
      & ( hskp4
        | hskp13
        | hskp8 )
      & ( hskp12
        | hskp17
        | hskp14 )
      & ( hskp25
        | hskp16 )
      & ( hskp25
        | hskp11
        | hskp1 )
      & ( hskp17
        | hskp24
        | hskp8 )
      & ( hskp17
        | hskp18
        | hskp11 )
      & ( hskp24
        | hskp7 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ndr1_0
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp24
    | hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ( ~ epred23_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_7,plain,
    ( ~ epred4_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c0_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_8,plain,
    ( ~ epred18_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | hskp22
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( c1_1(X1)
    | hskp15
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( epred23_0
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( c3_1(a367)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ c2_1(a367)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( epred4_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    ( epred18_0
    | hskp22
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_8]),c_0_9])]) ).

cnf(c_0_16,negated_conjecture,
    ( c0_1(a348)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c3_1(a348)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ c1_1(a348)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    ( hskp15
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9])]) ).

cnf(c_0_20,negated_conjecture,
    ( c3_1(a347)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_21,negated_conjecture,
    ( c2_1(a347)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ c1_1(a347)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_23,plain,
    ( ~ epred63_0
  <=> ! [X3] :
        ( c1_1(X3)
        | ~ c2_1(X3)
        | ~ c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_24,plain,
    ( ~ epred45_0
  <=> ! [X1] :
        ( c2_1(X1)
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( ~ epred66_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_26,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_27,negated_conjecture,
    ( epred23_0
    | ~ hskp22
    | ~ c0_1(a367) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_28,negated_conjecture,
    ( epred4_0
    | c0_1(a367)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13]) ).

cnf(c_0_29,negated_conjecture,
    ( epred18_0
    | hskp22
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]) ).

cnf(c_0_30,negated_conjecture,
    ( hskp15
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_31,negated_conjecture,
    ( epred63_0
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

fof(c_0_32,plain,
    ( ~ epred19_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_33,plain,
    ( ~ epred47_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_34,negated_conjecture,
    ( epred45_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_24]) ).

cnf(c_0_35,negated_conjecture,
    ( epred66_0
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_25]),c_0_9])]) ).

cnf(c_0_36,negated_conjecture,
    ( epred12_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_26]) ).

cnf(c_0_37,negated_conjecture,
    ( c0_1(a419)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ c2_1(a419)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ c1_1(a419)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_40,plain,
    ( ~ epred25_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_41,plain,
    ( ~ epred30_0
  <=> ! [X2] :
        ( c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_42,negated_conjecture,
    ( epred23_0
    | epred4_0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_43,negated_conjecture,
    ( epred18_0
    | hskp22
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_44,negated_conjecture,
    ( c3_1(a345)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_45,negated_conjecture,
    ( c0_1(a345)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ c2_1(a345)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_47,negated_conjecture,
    ( epred63_0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_20]),c_0_21]),c_0_22]) ).

cnf(c_0_48,negated_conjecture,
    ( hskp12
    | hskp17
    | hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_49,negated_conjecture,
    ( epred19_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_32]) ).

cnf(c_0_50,negated_conjecture,
    ( epred47_0
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_33]) ).

cnf(c_0_51,negated_conjecture,
    ( c3_1(a333)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_52,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_53,negated_conjecture,
    ( c0_1(a333)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_54,plain,
    ( ~ epred20_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp26
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_55,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp26
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_56,negated_conjecture,
    ( epred66_0
    | epred45_0
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_57,negated_conjecture,
    ( c1_1(a349)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c2_1(a349)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_59,negated_conjecture,
    ( epred12_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_60,negated_conjecture,
    ( hskp25
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_61,negated_conjecture,
    ( epred25_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_40]) ).

cnf(c_0_62,negated_conjecture,
    ( c2_1(X1)
    | hskp28
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_63,plain,
    ( ~ epred32_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_64,plain,
    ( ~ epred61_0
  <=> ! [X3] :
        ( c2_1(X3)
        | c3_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_65,plain,
    ( ~ epred16_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1)
        | hskp21
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_66,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ c0_1(a353)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_68,negated_conjecture,
    ( epred30_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_41]) ).

cnf(c_0_69,negated_conjecture,
    ( c2_1(a353)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_70,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_71,negated_conjecture,
    ( epred23_0
    | epred18_0
    | epred4_0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_72,negated_conjecture,
    ( epred23_0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_44]),c_0_45]),c_0_46]) ).

cnf(c_0_73,negated_conjecture,
    ( epred63_0
    | hskp17
    | hskp12 ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_74,negated_conjecture,
    ( c3_1(a349)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_75,negated_conjecture,
    ( epred23_0
    | epred19_0
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_49]) ).

cnf(c_0_76,negated_conjecture,
    ( epred47_0
    | ~ hskp26
    | ~ c2_1(a333) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).

cnf(c_0_77,negated_conjecture,
    ( epred45_0
    | c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_53]),c_0_52]) ).

cnf(c_0_78,negated_conjecture,
    ( epred20_0
    | hskp26
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_54]),c_0_9])]) ).

cnf(c_0_79,negated_conjecture,
    ( c3_1(a330)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_80,negated_conjecture,
    ( ~ c0_1(a330)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_81,negated_conjecture,
    ( ~ c1_1(a330)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_82,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ c2_1(a401)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_84,negated_conjecture,
    ( hskp26
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_55]) ).

cnf(c_0_85,negated_conjecture,
    ( epred66_0
    | epred45_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).

cnf(c_0_86,negated_conjecture,
    ( epred12_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_87,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_61]) ).

cnf(c_0_88,negated_conjecture,
    ( c1_1(a343)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_89,negated_conjecture,
    ( c2_1(a343)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_90,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_9])]) ).

fof(c_0_91,plain,
    ( ~ epred52_0
  <=> ! [X2] :
        ( c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_92,negated_conjecture,
    ( epred32_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_63]) ).

cnf(c_0_93,negated_conjecture,
    ( c0_1(a343)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_94,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c0_1(X1)
        | hskp27
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_95,negated_conjecture,
    ( ~ c3_1(a332)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_96,negated_conjecture,
    ( epred61_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_64]) ).

cnf(c_0_97,negated_conjecture,
    ( ~ c2_1(a332)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_98,negated_conjecture,
    ( epred16_0
    | hskp21
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_65]),c_0_9])]) ).

fof(c_0_99,plain,
    ( ~ epred67_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_100,plain,
    ( ~ epred7_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | c1_1(X1)
        | hskp12
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_101,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_102,plain,
    ( ~ epred62_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_103,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X3)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_66]) ).

cnf(c_0_104,negated_conjecture,
    ( epred30_0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]),c_0_70]) ).

cnf(c_0_105,negated_conjecture,
    ( epred23_0
    | epred18_0
    | epred4_0
    | hskp17 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_48]),c_0_72]) ).

cnf(c_0_106,negated_conjecture,
    ( epred63_0
    | epred23_0
    | hskp17 ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_107,negated_conjecture,
    ( epred23_0
    | ~ hskp16
    | ~ c0_1(a349) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_74]),c_0_58]) ).

cnf(c_0_108,negated_conjecture,
    ( epred4_0
    | c0_1(a349)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_74]),c_0_58]) ).

cnf(c_0_109,negated_conjecture,
    ( epred23_0
    | epred19_0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_37]),c_0_38]) ).

fof(c_0_110,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | hskp15
        | ~ ndr1_0
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_111,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | hskp17
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_112,negated_conjecture,
    ( epred47_0
    | epred45_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_113,negated_conjecture,
    ( epred20_0
    | hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).

cnf(c_0_114,negated_conjecture,
    ( epred66_0
    | epred45_0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_82]),c_0_83]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ epred20_0
    | ~ epred12_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_84,c_0_54]),c_0_26]) ).

cnf(c_0_116,negated_conjecture,
    ( epred66_0
    | epred45_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_117,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).

cnf(c_0_118,negated_conjecture,
    ( hskp28
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_74]),c_0_57]),c_0_58]) ).

fof(c_0_119,plain,
    ( ~ epred34_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_120,negated_conjecture,
    ( epred52_0
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_91]) ).

cnf(c_0_121,negated_conjecture,
    ( epred32_0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_89]),c_0_88]) ).

fof(c_0_122,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | hskp26
        | ~ ndr1_0
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_123,plain,
    ( ~ epred38_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | hskp19
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_124,negated_conjecture,
    ( epred21_0
    | hskp27
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_9])]) ).

cnf(c_0_125,negated_conjecture,
    ( c3_1(a359)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ c2_1(a359)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ c0_1(a359)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_128,negated_conjecture,
    ( epred61_0
    | ~ hskp8
    | ~ c1_1(a332) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).

cnf(c_0_129,negated_conjecture,
    ( epred16_0
    | hskp21
    | c1_1(a332)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_98]),c_0_97]) ).

fof(c_0_130,plain,
    ( ~ epred56_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_131,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_132,negated_conjecture,
    ( epred67_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_99]),c_0_9])]) ).

cnf(c_0_133,negated_conjecture,
    ( epred7_0
    | hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_100]),c_0_9])]) ).

fof(c_0_134,plain,
    ( ~ epred59_0
  <=> ! [X2] :
        ( hskp10
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c3_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_135,negated_conjecture,
    ( hskp22
    | c2_1(X2)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_101]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ epred63_0
    | ~ epred62_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_103,c_0_102]),c_0_23]),c_0_7]) ).

cnf(c_0_137,negated_conjecture,
    ( epred30_0
    | epred23_0
    | epred18_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_138,negated_conjecture,
    ( epred63_0
    | epred30_0
    | epred23_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_106]) ).

cnf(c_0_139,negated_conjecture,
    ( epred23_0
    | epred4_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_107,c_0_108]) ).

cnf(c_0_140,negated_conjecture,
    ( epred23_0
    | epred19_0
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_109,c_0_60]) ).

fof(c_0_141,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp7
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

fof(c_0_142,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_143,plain,
    ( ~ epred31_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | hskp6
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_144,negated_conjecture,
    ( epred37_0
    | hskp15
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_9])]) ).

fof(c_0_145,plain,
    ( ~ epred33_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c0_1(X1)
        | c1_1(X1)
        | hskp7
        | ~ ndr1_0 ) ),
    introduced(definition) ).

cnf(c_0_146,negated_conjecture,
    ( c1_1(X1)
    | hskp22
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_147,plain,
    ( ~ epred53_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp17
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_148,negated_conjecture,
    ( hskp17
    | c2_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_111]) ).

cnf(c_0_149,negated_conjecture,
    ( epred47_0
    | epred45_0
    | epred20_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_150,negated_conjecture,
    ( epred66_0
    | epred45_0
    | hskp7 ),
    inference(spm,[status(thm)],[c_0_114,c_0_4]) ).

cnf(c_0_151,negated_conjecture,
    ( epred66_0
    | epred45_0
    | ~ epred20_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_116]) ).

cnf(c_0_152,negated_conjecture,
    ( hskp28
    | c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_51]),c_0_52]) ).

cnf(c_0_153,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_154,negated_conjecture,
    ( epred34_0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_119]) ).

cnf(c_0_155,negated_conjecture,
    ( epred52_0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_74]),c_0_57]),c_0_58]) ).

cnf(c_0_156,negated_conjecture,
    ( epred32_0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[c_0_121,c_0_118]) ).

fof(c_0_157,plain,
    ( ~ epred28_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( epred39_0
    | hskp26
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_122]),c_0_9])]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ c0_1(a401)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_160,plain,
    ( ~ epred58_0
  <=> ! [X1] :
        ( c1_1(X1)
        | hskp22
        | ~ ndr1_0
        | ~ c2_1(X1)
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_161,negated_conjecture,
    ( epred38_0
    | hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_123]),c_0_9])]) ).

cnf(c_0_162,negated_conjecture,
    ( c2_1(a334)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c1_1(a334)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_164,negated_conjecture,
    ( c3_1(a341)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_165,negated_conjecture,
    ( c2_1(a341)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_166,negated_conjecture,
    ( c1_1(a341)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_167,negated_conjecture,
    ( epred21_0
    | hskp27
    | ~ hskp21 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),c_0_127]) ).

cnf(c_0_168,negated_conjecture,
    ( epred61_0
    | epred16_0
    | hskp21
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_169,negated_conjecture,
    ( epred56_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_130]) ).

cnf(c_0_170,negated_conjecture,
    ( epred10_0
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_131]) ).

cnf(c_0_171,negated_conjecture,
    ( epred67_0
    | epred7_0
    | hskp12
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

fof(c_0_172,plain,
    ( ~ epred27_0
  <=> ! [X1] :
        ( c3_1(X1)
        | c1_1(X1)
        | hskp5
        | ~ ndr1_0
        | ~ c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_173,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp19
    | hskp0
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_174,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | hskp7
    | hskp22
    | ~ ndr1_0
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_175,negated_conjecture,
    ( c0_1(X1)
    | hskp19
    | hskp11
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_176,negated_conjecture,
    ( epred59_0
    | hskp10
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_134]),c_0_9])]) ).

fof(c_0_177,plain,
    ( ~ epred65_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c3_1(X1)
        | ~ ndr1_0
        | ~ c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_178,plain,
    ( ~ epred57_0
  <=> ! [X1] :
        ( c2_1(X1)
        | hskp20
        | ~ ndr1_0
        | ~ c0_1(X1)
        | ~ c1_1(X1) ) ),
    introduced(definition) ).

fof(c_0_179,plain,
    ( ~ epred60_0
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ ndr1_0
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_180,plain,
    ( ~ epred44_0
  <=> ! [X2] :
        ( c3_1(X2)
        | hskp8
        | ~ ndr1_0
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_181,negated_conjecture,
    ( ~ epred19_0
    | ~ epred18_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_135,c_0_8]),c_0_32]) ).

cnf(c_0_182,negated_conjecture,
    ( epred30_0
    | epred23_0
    | epred18_0
    | ~ epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).

cnf(c_0_183,negated_conjecture,
    ( epred23_0
    | epred19_0
    | epred4_0 ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_184,negated_conjecture,
    ( epred43_0
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_141]),c_0_9])]) ).

cnf(c_0_185,negated_conjecture,
    ( ~ c1_1(a367)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_186,negated_conjecture,
    ( epred15_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_187,negated_conjecture,
    ( c2_1(a329)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c3_1(a329)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ c1_1(a329)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_190,negated_conjecture,
    ( ~ c3_1(a324)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_191,negated_conjecture,
    ( epred31_0
    | hskp6
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_143]),c_0_9])]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ c0_1(a324)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ c1_1(a324)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_194,negated_conjecture,
    ( epred37_0
    | hskp15
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_37]),c_0_38]),c_0_39]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ c3_1(a358)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_196,negated_conjecture,
    ( c2_1(a358)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_197,negated_conjecture,
    ( epred33_0
    | hskp7
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_145]),c_0_9])]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ c0_1(a358)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_199,plain,
    ( ~ epred22_0
  <=> ! [X1] :
        ( c2_1(X1)
        | c1_1(X1)
        | hskp2
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_200,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ epred53_0
    | ~ epred45_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_148,c_0_147]),c_0_24]) ).

cnf(c_0_202,negated_conjecture,
    ( epred66_0
    | epred47_0
    | epred45_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_151]) ).

cnf(c_0_203,negated_conjecture,
    ( epred47_0
    | hskp28
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_76,c_0_152]) ).

cnf(c_0_204,negated_conjecture,
    ( epred47_0
    | epred25_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_153,c_0_86]) ).

cnf(c_0_205,negated_conjecture,
    ( epred34_0
    | ~ hskp26
    | ~ c2_1(a333) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_51]),c_0_53]) ).

cnf(c_0_206,negated_conjecture,
    ( epred52_0
    | c2_1(a333)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_51]),c_0_52]) ).

cnf(c_0_207,negated_conjecture,
    ( epred52_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_86]) ).

cnf(c_0_208,negated_conjecture,
    ( epred32_0
    | ~ hskp26
    | ~ c2_1(a333) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_53]),c_0_52]) ).

cnf(c_0_209,negated_conjecture,
    ( epred32_0
    | epred12_0 ),
    inference(spm,[status(thm)],[c_0_156,c_0_86]) ).

fof(c_0_210,plain,
    ( ~ epred11_0
  <=> ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | hskp9
        | ~ ndr1_0
        | ~ c3_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_211,negated_conjecture,
    ( epred28_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_157]) ).

fof(c_0_212,plain,
    ( ~ epred17_0
  <=> ! [X2] :
        ( c3_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_213,plain,
    ( ~ epred8_0
  <=> ! [X2] :
        ( c2_1(X2)
        | c1_1(X2)
        | ~ c3_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_214,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_215,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_216,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_217,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_218,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c3_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_219,negated_conjecture,
    ( hskp10
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_220,negated_conjecture,
    ( c2_1(X1)
    | hskp20
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_221,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | hskp8
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_222,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp7
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_223,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | hskp26
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_224,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp19
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_225,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp15
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_226,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp7
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_227,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c3_1(X1)
    | hskp6
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_228,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | hskp5
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_229,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp2
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_230,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | hskp27
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_231,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | hskp21
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_232,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp9
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_233,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | hskp12
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_234,negated_conjecture,
    ( epred39_0
    | hskp26
    | c3_1(a401)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_82]),c_0_159]) ).

cnf(c_0_235,negated_conjecture,
    ( epred58_0
    | hskp22
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_160]),c_0_9])]) ).

cnf(c_0_236,negated_conjecture,
    ( epred38_0
    | hskp19
    | c3_1(a334)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_237,negated_conjecture,
    ( epred47_0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_164]),c_0_165]),c_0_166]) ).

cnf(c_0_238,negated_conjecture,
    ( epred61_0
    | epred21_0
    | epred16_0
    | hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_167,c_0_168]) ).

cnf(c_0_239,negated_conjecture,
    ( epred18_0
    | hskp22
    | c3_1(a419)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_37]),c_0_39]) ).

cnf(c_0_240,negated_conjecture,
    ( epred56_0
    | epred25_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_169,c_0_61]) ).

cnf(c_0_241,negated_conjecture,
    ( epred23_0
    | epred7_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_133]),c_0_72]) ).

cnf(c_0_242,negated_conjecture,
    ( epred47_0
    | epred10_0
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_170]) ).

cnf(c_0_243,negated_conjecture,
    ( epred34_0
    | epred25_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_154,c_0_61]) ).

cnf(c_0_244,negated_conjecture,
    ( ~ c1_1(a338)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_245,negated_conjecture,
    ( epred67_0
    | epred23_0
    | epred7_0
    | c1_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_171]) ).

cnf(c_0_246,negated_conjecture,
    ( epred27_0
    | hskp5
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_172]),c_0_9])]) ).

cnf(c_0_247,negated_conjecture,
    ( epred19_0
    | c2_1(a348)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_49]),c_0_16]) ).

cnf(c_0_248,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_9])]) ).

cnf(c_0_249,negated_conjecture,
    ( hskp22
    | hskp7
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_9])]) ).

cnf(c_0_250,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_9])]) ).

cnf(c_0_251,negated_conjecture,
    ( epred59_0
    | epred25_0
    | hskp10
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_176,c_0_61]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ c3_1(a337)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_253,negated_conjecture,
    ( epred65_0
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_177]),c_0_9])]) ).

cnf(c_0_254,negated_conjecture,
    ( epred57_0
    | hskp20
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_178]),c_0_9])]) ).

cnf(c_0_255,negated_conjecture,
    ( c0_1(a337)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_256,negated_conjecture,
    ( epred53_0
    | hskp17
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_147]),c_0_9])]) ).

cnf(c_0_257,negated_conjecture,
    ( epred62_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_9])]) ).

cnf(c_0_258,negated_conjecture,
    ( epred60_0
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_179]),c_0_9])]) ).

cnf(c_0_259,negated_conjecture,
    ( epred44_0
    | hskp8
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_180]),c_0_9])]) ).

cnf(c_0_260,negated_conjecture,
    ( c1_1(a327)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_261,negated_conjecture,
    ( epred30_0
    | epred23_0
    | ~ epred62_0
    | ~ epred19_0 ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_262,negated_conjecture,
    ( epred23_0
    | epred19_0
    | ~ epred63_0
    | ~ epred62_0 ),
    inference(spm,[status(thm)],[c_0_136,c_0_183]) ).

cnf(c_0_263,negated_conjecture,
    ( epred43_0
    | hskp7
    | c0_1(a367)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_12]),c_0_185]) ).

cnf(c_0_264,negated_conjecture,
    ( epred15_0
    | ~ hskp22
    | ~ c0_1(a367) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_12]),c_0_185]) ).

cnf(c_0_265,negated_conjecture,
    ( epred38_0
    | hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_187]),c_0_188]),c_0_189]) ).

cnf(c_0_266,negated_conjecture,
    ( epred31_0
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_191]),c_0_192]),c_0_193]) ).

cnf(c_0_267,negated_conjecture,
    ( epred37_0
    | hskp16
    | hskp15 ),
    inference(spm,[status(thm)],[c_0_194,c_0_60]) ).

cnf(c_0_268,negated_conjecture,
    ( epred25_0
    | ~ hskp20
    | ~ c1_1(a358) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_61]),c_0_196]) ).

cnf(c_0_269,negated_conjecture,
    ( epred33_0
    | hskp7
    | c1_1(a358)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_197]),c_0_198]) ).

cnf(c_0_270,negated_conjecture,
    ( epred22_0
    | hskp2
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_199]),c_0_9])]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ epred58_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_200,c_0_160]),c_0_33]) ).

cnf(c_0_272,negated_conjecture,
    ( epred66_0
    | epred47_0
    | ~ epred53_0 ),
    inference(spm,[status(thm)],[c_0_201,c_0_202]) ).

cnf(c_0_273,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_117,c_0_203]) ).

cnf(c_0_274,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ epred20_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_204]) ).

cnf(c_0_275,negated_conjecture,
    ( epred52_0
    | epred34_0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_276,negated_conjecture,
    ( epred52_0
    | ~ epred20_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_207]) ).

cnf(c_0_277,negated_conjecture,
    ( epred32_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_208,c_0_152]),c_0_121]) ).

cnf(c_0_278,negated_conjecture,
    ( epred32_0
    | ~ epred20_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_209]) ).

cnf(c_0_279,negated_conjecture,
    ( epred56_0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_51]),c_0_53]),c_0_52]) ).

cnf(c_0_280,negated_conjecture,
    ( epred11_0
    | hskp9
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_210]),c_0_9])]) ).

cnf(c_0_281,negated_conjecture,
    ( epred28_0
    | ~ hskp15
    | ~ c2_1(a348) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_16]),c_0_18]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ c3_1(a355)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_283,negated_conjecture,
    ( c2_1(a355)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_284,negated_conjecture,
    ( c1_1(a355)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ c2_1(a337)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ c3_1(a327)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_287,negated_conjecture,
    ( epred17_0
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_212]) ).

cnf(c_0_288,negated_conjecture,
    ( c0_1(a327)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_289,negated_conjecture,
    ( epred8_0
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(split_equiv,[status(thm)],[c_0_213]) ).

cnf(c_0_290,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_214]) ).

cnf(c_0_291,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_215]) ).

cnf(c_0_292,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_216]) ).

cnf(c_0_293,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_217]) ).

cnf(c_0_294,negated_conjecture,
    ( c2_1(X3)
    | c3_1(X3)
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_218]) ).

cnf(c_0_295,negated_conjecture,
    ( hskp10
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_219]) ).

cnf(c_0_296,negated_conjecture,
    ( hskp20
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_220]) ).

cnf(c_0_297,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_221]) ).

cnf(c_0_298,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_222]) ).

cnf(c_0_299,negated_conjecture,
    ( hskp26
    | c2_1(X2)
    | c3_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_223]) ).

cnf(c_0_300,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_224]) ).

cnf(c_0_301,negated_conjecture,
    ( hskp15
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[c_0_225]) ).

cnf(c_0_302,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_226]) ).

cnf(c_0_303,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_227]) ).

cnf(c_0_304,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_228]) ).

cnf(c_0_305,negated_conjecture,
    ( hskp2
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_229]) ).

cnf(c_0_306,negated_conjecture,
    ( hskp27
    | c2_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_230]) ).

cnf(c_0_307,negated_conjecture,
    ( hskp21
    | c2_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_231]) ).

cnf(c_0_308,negated_conjecture,
    ( hskp9
    | c2_1(X2)
    | c0_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[c_0_232]) ).

cnf(c_0_309,negated_conjecture,
    ( hskp12
    | c2_1(X2)
    | c2_1(X1)
    | c3_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[c_0_233]) ).

cnf(c_0_310,negated_conjecture,
    ( hskp28
    | c2_1(a401)
    | epred39_0
    | hskp26
    | ~ c1_1(a401)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[c_0_90,c_0_234]) ).

cnf(c_0_311,negated_conjecture,
    ( epred58_0
    | hskp22
    | c1_1(a334)
    | epred38_0
    | hskp19
    | ~ c2_1(a334)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[c_0_235,c_0_236]) ).

cnf(c_0_312,negated_conjecture,
    ( epred47_0
    | epred61_0
    | epred21_0
    | epred16_0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[c_0_237,c_0_238]) ).

cnf(c_0_313,negated_conjecture,
    ( epred15_0
    | c1_1(a419)
    | epred18_0
    | hskp22
    | ~ c0_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_186,c_0_239]) ).

cnf(c_0_314,negated_conjecture,
    ( epred56_0
    | epred25_0
    | ~ c1_1(a343)
    | ~ c2_1(a343)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_240,c_0_93]) ).

cnf(c_0_315,negated_conjecture,
    ( epred23_0
    | epred7_0
    | c1_1(a419)
    | c2_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_241,c_0_37]) ).

cnf(c_0_316,negated_conjecture,
    ( epred47_0
    | epred10_0
    | ~ hskp17
    | ~ c1_1(a353)
    | ~ c2_1(a353) ),
    inference(spm,[status(thm)],[c_0_67,c_0_242]) ).

cnf(c_0_317,negated_conjecture,
    ( epred34_0
    | epred25_0
    | ~ c1_1(a343)
    | ~ c2_1(a343)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_243,c_0_93]) ).

cnf(c_0_318,negated_conjecture,
    ( epred67_0
    | epred23_0
    | epred7_0
    | c2_1(a338)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[c_0_244,c_0_245]) ).

cnf(c_0_319,negated_conjecture,
    ( epred27_0
    | hskp5
    | c1_1(a348)
    | c3_1(a348)
    | epred19_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_246,c_0_247]) ).

cnf(c_0_320,negated_conjecture,
    ( hskp19
    | c1_1(a419)
    | c2_1(a419)
    | hskp0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_248,c_0_37]) ).

cnf(c_0_321,negated_conjecture,
    ( hskp22
    | hskp7
    | c1_1(a419)
    | c2_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_249,c_0_37]) ).

cnf(c_0_322,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a330)
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_250,c_0_79]) ).

cnf(c_0_323,negated_conjecture,
    ( epred59_0
    | epred25_0
    | hskp10
    | ~ c2_1(a343)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[c_0_251,c_0_88]) ).

cnf(c_0_324,negated_conjecture,
    ( epred67_0
    | c1_1(a330)
    | c2_1(a330)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_132,c_0_79]) ).

cnf(c_0_325,negated_conjecture,
    ( epred67_0
    | c1_1(a367)
    | c2_1(a367)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_132,c_0_12]) ).

cnf(c_0_326,negated_conjecture,
    ( epred66_0
    | c2_1(a401)
    | ~ hskp24
    | ~ c1_1(a401) ),
    inference(spm,[status(thm)],[c_0_159,c_0_35]) ).

cnf(c_0_327,negated_conjecture,
    ( epred65_0
    | c2_1(a337)
    | ~ hskp10
    | ~ c0_1(a337) ),
    inference(spm,[status(thm)],[c_0_252,c_0_253]) ).

cnf(c_0_328,negated_conjecture,
    ( epred59_0
    | hskp10
    | ~ c1_1(a333)
    | ~ c2_1(a333)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[c_0_176,c_0_51]) ).

cnf(c_0_329,negated_conjecture,
    ( epred58_0
    | hskp22
    | c1_1(a330)
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_235,c_0_79]) ).

cnf(c_0_330,negated_conjecture,
    ( epred57_0
    | hskp20
    | c2_1(a337)
    | ~ c1_1(a337)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[c_0_254,c_0_255]) ).

cnf(c_0_331,negated_conjecture,
    ( epred53_0
    | hskp17
    | c1_1(a330)
    | ~ c2_1(a330)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_256,c_0_79]) ).

cnf(c_0_332,negated_conjecture,
    ( epred62_0
    | c1_1(a419)
    | c2_1(a419)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[c_0_257,c_0_37]) ).

cnf(c_0_333,negated_conjecture,
    ( epred60_0
    | c1_1(a348)
    | ~ c2_1(a348)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_258,c_0_16]) ).

cnf(c_0_334,negated_conjecture,
    ( epred44_0
    | hskp8
    | c3_1(a327)
    | ~ c0_1(a327)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_335,negated_conjecture,
    ( epred30_0
    | epred23_0
    | ~ epred62_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_138]) ).

cnf(c_0_336,negated_conjecture,
    ( epred43_0
    | epred23_0
    | hskp7
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_27,c_0_263]) ).

cnf(c_0_337,negated_conjecture,
    ( epred43_0
    | epred15_0
    | hskp7
    | ~ hskp22 ),
    inference(spm,[status(thm)],[c_0_264,c_0_263]) ).

cnf(c_0_338,negated_conjecture,
    ( epred38_0
    | epred31_0
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[c_0_265,c_0_266]) ).

cnf(c_0_339,negated_conjecture,
    ( epred37_0
    | epred18_0
    | hskp22
    | hskp16 ),
    inference(spm,[status(thm)],[c_0_29,c_0_267]) ).

cnf(c_0_340,negated_conjecture,
    ( epred33_0
    | epred25_0
    | hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[c_0_268,c_0_269]) ).

cnf(c_0_341,negated_conjecture,
    ( epred22_0
    | hskp2
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_12]),c_0_13]),c_0_185]) ).

cnf(c_0_342,negated_conjecture,
    ( epred66_0
    | ~ epred58_0
    | ~ epred53_0 ),
    inference(spm,[status(thm)],[c_0_271,c_0_272]) ).

cnf(c_0_343,negated_conjecture,
    ( epred47_0
    | epred25_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_113]),c_0_274]) ).

cnf(c_0_344,negated_conjecture,
    ( epred52_0
    | epred34_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_113]),c_0_276]) ).

cnf(c_0_345,negated_conjecture,
    ( epred32_0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_113]),c_0_278]) ).

cnf(c_0_346,negated_conjecture,
    ( epred56_0
    | epred20_0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[c_0_279,c_0_113]) ).

cnf(c_0_347,negated_conjecture,
    ( epred18_0
    | hskp22
    | c1_1(a337)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_255]),c_0_252]) ).

cnf(c_0_348,negated_conjecture,
    ( epred11_0
    | hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_280,c_0_79]),c_0_80]),c_0_81]) ).

cnf(c_0_349,negated_conjecture,
    ( hskp15
    | ~ hskp7
    | ~ c2_1(a330) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_79]),c_0_81]) ).

cnf(c_0_350,negated_conjecture,
    ( epred28_0
    | epred19_0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[c_0_281,c_0_247]) ).

cnf(c_0_351,negated_conjecture,
    ( epred25_0
    | ~ hskp19 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_61]),c_0_283]),c_0_284]) ).

cnf(c_0_352,negated_conjecture,
    ( epred19_0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_49]),c_0_255]),c_0_285]) ).

cnf(c_0_353,negated_conjecture,
    ( epred17_0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_287]),c_0_288]),c_0_260]) ).

cnf(c_0_354,negated_conjecture,
    ( epred8_0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_12]),c_0_13]),c_0_185]) ).

cnf(c_0_355,negated_conjecture,
    ( ~ epred66_0
    | ~ epred32_0
    | ~ epred25_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_290,c_0_25]),c_0_40]),c_0_63]) ).

cnf(c_0_356,negated_conjecture,
    ( ~ epred67_0
    | ~ epred52_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_291,c_0_99]),c_0_91]),c_0_63]) ).

cnf(c_0_357,negated_conjecture,
    ( ~ epred66_0
    | ~ epred34_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_292,c_0_25]),c_0_6]),c_0_119]) ).

cnf(c_0_358,negated_conjecture,
    ( ~ epred65_0
    | ~ epred34_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_293,c_0_177]),c_0_6]),c_0_119]) ).

cnf(c_0_359,negated_conjecture,
    ( ~ epred61_0
    | ~ epred60_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_294,c_0_179]),c_0_131]),c_0_64]) ).

cnf(c_0_360,negated_conjecture,
    ( ~ epred59_0
    | ~ epred56_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_295,c_0_134]),c_0_130]) ).

cnf(c_0_361,negated_conjecture,
    ( ~ epred57_0
    | ~ epred47_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_296,c_0_178]),c_0_33]) ).

cnf(c_0_362,negated_conjecture,
    ( ~ epred45_0
    | ~ epred44_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_297,c_0_180]),c_0_24]) ).

cnf(c_0_363,negated_conjecture,
    ( ~ epred43_0
    | ~ epred32_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_298,c_0_141]),c_0_63]) ).

cnf(c_0_364,negated_conjecture,
    ( ~ epred39_0
    | ~ epred23_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_299,c_0_122]),c_0_6]) ).

cnf(c_0_365,negated_conjecture,
    ( ~ epred38_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_300,c_0_123]),c_0_142]) ).

cnf(c_0_366,negated_conjecture,
    ( ~ epred37_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_301,c_0_110]),c_0_41]) ).

cnf(c_0_367,negated_conjecture,
    ( ~ epred34_0
    | ~ epred33_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_302,c_0_145]),c_0_119]) ).

cnf(c_0_368,negated_conjecture,
    ( ~ epred32_0
    | ~ epred31_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_303,c_0_143]),c_0_63]) ).

cnf(c_0_369,negated_conjecture,
    ( ~ epred28_0
    | ~ epred27_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_304,c_0_172]),c_0_157]) ).

cnf(c_0_370,negated_conjecture,
    ( ~ epred23_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_305,c_0_199]),c_0_6]) ).

cnf(c_0_371,negated_conjecture,
    ( ~ epred21_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_306,c_0_94]),c_0_131]) ).

cnf(c_0_372,negated_conjecture,
    ( ~ epred17_0
    | ~ epred16_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_307,c_0_65]),c_0_212]) ).

cnf(c_0_373,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_308,c_0_210]),c_0_26]) ).

cnf(c_0_374,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_309,c_0_100]),c_0_213]) ).

cnf(c_0_375,negated_conjecture,
    ( ~ c2_1(a338)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_376,negated_conjecture,
    ( c3_1(a322)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_377,negated_conjecture,
    ( c2_1(a322)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_378,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_310,c_0_311,c_0_312,c_0_313,c_0_314,c_0_315,c_0_316,c_0_317,c_0_318,c_0_319,c_0_320,c_0_321,c_0_322,c_0_323,c_0_324,c_0_325,c_0_326,c_0_327,c_0_328,c_0_329,c_0_330,c_0_331,c_0_332,c_0_333,c_0_334,c_0_335,c_0_336,c_0_337,c_0_338,c_0_339,c_0_340,c_0_341,c_0_342,c_0_202,c_0_343,c_0_344,c_0_345,c_0_346,c_0_113,c_0_347,c_0_29,c_0_348,c_0_349,c_0_153,c_0_156,c_0_118,c_0_277,c_0_276,c_0_155,c_0_275,c_0_206,c_0_121,c_0_350,c_0_351,c_0_352,c_0_247,c_0_353,c_0_86,c_0_354,c_0_176,c_0_235,c_0_140,c_0_355,c_0_356,c_0_357,c_0_358,c_0_359,c_0_360,c_0_271,c_0_361,c_0_362,c_0_363,c_0_364,c_0_365,c_0_366,c_0_367,c_0_368,c_0_369,c_0_370,c_0_371,c_0_115,c_0_181,c_0_372,c_0_373,c_0_374,c_0_39,c_0_38,c_0_83,c_0_185,c_0_13,c_0_18,c_0_17,c_0_375,c_0_285,c_0_163,c_0_81,c_0_80,c_0_286,c_0_88,c_0_52,c_0_82,c_0_70,c_0_37,c_0_255,c_0_288,c_0_376,c_0_89,c_0_69,c_0_162,c_0_377,c_0_60,c_0_4]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN506+1 : TPTP v8.1.2. Released v2.1.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 18:11:38 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.xSWIc2iDHT/E---3.1_3542.p
% 13.67/300.05  # Version: 3.1pre001
% 13.67/300.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 13.67/300.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.67/300.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.67/300.05  # Starting new_bool_3 with 300s (1) cores
% 13.67/300.05  # Starting new_bool_1 with 300s (1) cores
% 13.67/300.05  # Starting sh5l with 300s (1) cores
% 13.67/300.05  # new_bool_3 with pid 3621 completed with status 0
% 13.67/300.05  # Result found by new_bool_3
% 13.67/300.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 13.67/300.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.67/300.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.67/300.05  # Starting new_bool_3 with 300s (1) cores
% 13.67/300.05  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.67/300.05  # Search class: FGHNF-FSMM00-SFFFFFNN
% 13.67/300.05  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 13.67/300.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 13.67/300.05  # G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3629 completed with status 0
% 13.67/300.05  # Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 13.67/300.05  # Preprocessing class: FSLSSLSMSSSNFFN.
% 13.67/300.05  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.67/300.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 13.67/300.05  # Starting new_bool_3 with 300s (1) cores
% 13.67/300.05  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 13.67/300.05  # Search class: FGHNF-FSMM00-SFFFFFNN
% 13.67/300.05  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 13.67/300.05  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 163s (1) cores
% 13.67/300.05  # Preprocessing time       : 0.002 s
% 13.67/300.05  # SatCheck found unsatisfiable ground set
% 13.67/300.05  
% 13.67/300.05  # Proof found!
% 13.67/300.05  # SZS status Theorem
% 13.67/300.05  # SZS output start CNFRefutation
% See solution above
% 13.67/300.05  # Parsed axioms                        : 1
% 13.67/300.05  # Removed by relevancy pruning/SinE    : 0
% 13.67/300.05  # Initial clauses                      : 196
% 13.67/300.05  # Removed in clause preprocessing      : 0
% 13.67/300.05  # Initial clauses in saturation        : 196
% 13.67/300.05  # Processed clauses                    : 7275
% 13.67/300.05  # ...of these trivial                  : 0
% 13.67/300.05  # ...subsumed                          : 2275
% 13.67/300.05  # ...remaining for further processing  : 5000
% 13.67/300.05  # Other redundant clauses eliminated   : 0
% 13.67/300.05  # Clauses deleted for lack of memory   : 0
% 13.67/300.05  # Backward-subsumed                    : 1169
% 13.67/300.05  # Backward-rewritten                   : 54
% 13.67/300.05  # Generated clauses                    : 61874
% 13.67/300.05  # ...of the previous two non-redundant : 56090
% 13.67/300.05  # ...aggressively subsumed             : 0
% 13.67/300.05  # Contextual simplify-reflections      : 595
% 13.67/300.05  # Paramodulations                      : 61761
% 13.67/300.05  # Factorizations                       : 0
% 13.67/300.05  # NegExts                              : 0
% 13.67/300.05  # Equation resolutions                 : 0
% 13.67/300.05  # Total rewrite steps                  : 97
% 13.67/300.05  # Propositional unsat checks           : 1
% 13.67/300.05  #    Propositional check models        : 0
% 13.67/300.05  #    Propositional check unsatisfiable : 1
% 13.67/300.05  #    Propositional clauses             : 52097
% 13.67/300.05  #    Propositional clauses after purity: 51764
% 13.67/300.05  #    Propositional unsat core size     : 112
% 13.67/300.05  #    Propositional preprocessing time  : 0.000
% 13.67/300.05  #    Propositional encoding time       : 0.026
% 13.67/300.05  #    Propositional solver time         : 0.084
% 13.67/300.05  #    Success case prop preproc time    : 0.000
% 13.67/300.05  #    Success case prop encoding time   : 0.026
% 13.67/300.05  #    Success case prop solver time     : 0.084
% 13.67/300.05  # Current number of processed clauses  : 3731
% 13.67/300.05  #    Positive orientable unit clauses  : 1
% 13.67/300.05  #    Positive unorientable unit clauses: 0
% 13.67/300.05  #    Negative unit clauses             : 0
% 13.67/300.05  #    Non-unit-clauses                  : 3730
% 13.67/300.05  # Current number of unprocessed clauses: 48366
% 13.67/300.05  # ...number of literals in the above   : 326597
% 13.67/300.05  # Current number of archived formulas  : 0
% 13.67/300.05  # Current number of archived clauses   : 1223
% 13.67/300.05  # Clause-clause subsumption calls (NU) : 4425879
% 13.67/300.05  # Rec. Clause-clause subsumption calls : 391785
% 13.67/300.05  # Non-unit clause-clause subsumptions  : 4107
% 13.67/300.05  # Unit Clause-clause subsumption calls : 3
% 13.67/300.05  # Rewrite failures with RHS unbound    : 0
% 13.67/300.05  # BW rewrite match attempts            : 1
% 13.67/300.05  # BW rewrite match successes           : 1
% 13.67/300.05  # Condensation attempts                : 7275
% 13.67/300.05  # Condensation successes               : 0
% 13.67/300.05  # Termbank termtop insertions          : 618709
% 13.67/300.05  
% 13.67/300.05  # -------------------------------------------------
% 13.67/300.05  # User time                : 1.646 s
% 13.67/300.05  # System time              : 0.040 s
% 13.67/300.05  # Total time               : 1.686 s
% 13.67/300.05  # Maximum resident set size: 3044 pages
% 13.67/300.05  
% 13.67/300.05  # -------------------------------------------------
% 13.67/300.05  # User time                : 1.650 s
% 13.67/300.05  # System time              : 0.042 s
% 13.67/300.05  # Total time               : 1.692 s
% 13.67/300.05  # Maximum resident set size: 2148 pages
% 13.67/300.05  % E---3.1 exiting
% 13.67/300.05  % E---3.1 exiting
%------------------------------------------------------------------------------