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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN462+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:24:34 PM UTC 2026

% Result   : Theorem 10.42s 1.96s
% Output   : CNFRefutation 10.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  274 (   2 unt;   0 def)
%            Number of atoms       : 3555 (   0 equ)
%            Maximal formula atoms :  686 (  12 avg)
%            Number of connectives : 4824 (1543   ~;2259   |; 732   &)
%                                         (  29 <=>; 261  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  273 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   66 (  65 usr;  62 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  492 (   0 sgn 377   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( hskp26
        | hskp1
        | hskp12 )
      & ( hskp12
        | hskp25
        | hskp14 )
      & ( hskp9
        | hskp19
        | hskp0 )
      & ( hskp9
        | hskp6
        | hskp22 )
      & ( hskp23
        | hskp10
        | hskp21 )
      & ( hskp17
        | hskp14
        | hskp30 )
      & ( hskp5
        | hskp30
        | hskp16 )
      & ( hskp18
        | hskp7
        | hskp16 )
      & ( hskp11
        | hskp9
        | hskp29 )
      & ( hskp11
        | hskp22
        | hskp29 )
      & ( hskp20
        | hskp19
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c1_1(X87) ) ) )
      & ( hskp8
        | hskp7
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c2_1(X86)
              | ~ c1_1(X86) ) ) )
      & ( hskp19
        | hskp7
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | ~ c0_1(X85) ) ) )
      & ( hskp4
        | hskp3
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c1_1(X84)
              | ~ c0_1(X84) ) ) )
      & ( hskp24
        | hskp21
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c0_1(X83)
              | c3_1(X83) ) ) )
      & ( hskp0
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | ~ c1_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c2_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) ) )
      & ( hskp23
        | hskp28
        | ! [X80] :
            ( ndr1_0
           => ( ~ c1_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) ) )
      & ( hskp23
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c1_1(X79)
              | ~ c0_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c1_1(X78)
              | c2_1(X78) ) ) )
      & ( hskp0
        | hskp22
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | ~ c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp5
        | hskp29
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp8
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c0_1(X75)
              | c2_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp21
        | ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | c3_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c0_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp1
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c3_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp20
        | hskp29
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c1_1(X69) ) ) )
      & ( ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | ~ c1_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c0_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c0_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp19
        | hskp27
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) ) )
      & ( hskp8
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp10
        | hskp0
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | c2_1(X63)
              | c1_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | ~ c0_1(X61)
              | c2_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c3_1(X60)
              | c2_1(X60)
              | c1_1(X60) ) ) )
      & ( hskp18
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c1_1(X59)
              | ~ c0_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c0_1(X58)
              | c2_1(X58)
              | c1_1(X58) ) ) )
      & ( hskp7
        | ! [X57] :
            ( ndr1_0
           => ( ~ c3_1(X57)
              | ~ c1_1(X57)
              | c2_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c1_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c0_1(X54)
              | c3_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp7
        | ! [X52] :
            ( ndr1_0
           => ( ~ c2_1(X52)
              | ~ c0_1(X52)
              | c3_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c3_1(X51)
              | c2_1(X51)
              | c1_1(X51) ) ) )
      & ( hskp17
        | hskp0
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp16
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c0_1(X49)
              | c1_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c3_1(X48)
              | ~ c1_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp12
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | ~ c1_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp6
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | ~ c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | ~ c1_1(X45)
              | c0_1(X45) ) ) )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c3_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c0_1(X43)
              | c3_1(X43)
              | c1_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c2_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp4
        | hskp1
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp14
        | ! [X40] :
            ( ndr1_0
           => ( ~ c2_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp13
        | hskp6
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | c3_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp12
        | hskp7
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | c3_1(X38)
              | c0_1(X38) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c1_1(X37)
              | ~ c0_1(X37)
              | c3_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c0_1(X36)
              | c1_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c1_1(X35)
              | c3_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp11
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | ~ c1_1(X34)
              | c2_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp10
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | ~ c1_1(X30)
              | ~ c0_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | ~ c1_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp9
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp27
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp28
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp1
        | hskp27
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp8
        | hskp7
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp6
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | ~ c1_1(X20)
              | ~ c0_1(X20) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( hskp5
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | c3_1(X18)
              | c2_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c2_1(X17)
              | c1_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( ~ c0_1(X16)
              | c3_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c1_1(X14)
              | ~ c0_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp2
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c2_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp1
        | hskp0
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | c1_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | ~ c0_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c2_1(X2)
              | c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( ( c3_1(a337)
          & c2_1(a337)
          & c0_1(a337)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a304)
          & c1_1(a304)
          & c0_1(a304)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a278)
          & c1_1(a278)
          & c0_1(a278)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a276)
          & c2_1(a276)
          & c1_1(a276)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a356)
          & ~ c1_1(a356)
          & ~ c0_1(a356)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a352)
          & ~ c2_1(a352)
          & c1_1(a352)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a318)
          & ~ c1_1(a318)
          & c2_1(a318)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a313)
          & ~ c2_1(a313)
          & ~ c1_1(a313)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a311)
          & c2_1(a311)
          & c0_1(a311)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a307)
          & c2_1(a307)
          & c0_1(a307)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a305)
          & ~ c0_1(a305)
          & c1_1(a305)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a303)
          & c2_1(a303)
          & c1_1(a303)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a298)
          & c3_1(a298)
          & c1_1(a298)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a295)
          & ~ c0_1(a295)
          & c3_1(a295)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a293)
          & c1_1(a293)
          & c0_1(a293)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a291)
          & c3_1(a291)
          & c2_1(a291)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a287)
          & ~ c0_1(a287)
          & c1_1(a287)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a286)
          & c3_1(a286)
          & c1_1(a286)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a284)
          & ~ c0_1(a284)
          & c2_1(a284)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a282)
          & ~ c0_1(a282)
          & c2_1(a282)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a281)
          & ~ c0_1(a281)
          & c3_1(a281)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a280)
          & c3_1(a280)
          & c2_1(a280)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a275)
          & ~ c2_1(a275)
          & ~ c0_1(a275)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a274)
          & c1_1(a274)
          & c0_1(a274)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c0_1(a273)
          & c2_1(a273)
          & c1_1(a273)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a272)
          & ~ c1_1(a272)
          & c0_1(a272)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a271)
          & ~ c1_1(a271)
          & ~ c0_1(a271)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a270)
          & c3_1(a270)
          & c0_1(a270)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a269)
          & ~ c1_1(a269)
          & c0_1(a269)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a268)
          & ~ c1_1(a268)
          & c3_1(a268)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a267)
          & ~ c2_1(a267)
          & c0_1(a267)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( hskp26
          | hskp1
          | hskp12 )
        & ( hskp12
          | hskp25
          | hskp14 )
        & ( hskp9
          | hskp19
          | hskp0 )
        & ( hskp9
          | hskp6
          | hskp22 )
        & ( hskp23
          | hskp10
          | hskp21 )
        & ( hskp17
          | hskp14
          | hskp30 )
        & ( hskp5
          | hskp30
          | hskp16 )
        & ( hskp18
          | hskp7
          | hskp16 )
        & ( hskp11
          | hskp9
          | hskp29 )
        & ( hskp11
          | hskp22
          | hskp29 )
        & ( hskp20
          | hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) ) )
        & ( hskp8
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) ) )
        & ( hskp19
          | hskp7
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( hskp4
          | hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) ) )
        & ( hskp24
          | hskp21
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) ) )
        & ( hskp0
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) ) )
        & ( hskp23
          | hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) ) )
        & ( hskp23
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp0
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp5
          | hskp29
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp8
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp21
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp1
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp20
          | hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp19
          | hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp10
          | hskp0
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp18
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp7
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp7
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp17
          | hskp0
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp6
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp4
          | hskp1
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp6
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp12
          | hskp7
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp10
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp27
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp1
          | hskp27
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp8
          | hskp7
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c3_1(a337)
            & c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a304)
            & c1_1(a304)
            & c0_1(a304)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a278)
            & c1_1(a278)
            & c0_1(a278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a276)
            & c2_1(a276)
            & c1_1(a276)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a356)
            & ~ c1_1(a356)
            & ~ c0_1(a356)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a352)
            & ~ c2_1(a352)
            & c1_1(a352)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a318)
            & ~ c1_1(a318)
            & c2_1(a318)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a313)
            & ~ c2_1(a313)
            & ~ c1_1(a313)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a311)
            & c2_1(a311)
            & c0_1(a311)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a307)
            & c2_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a305)
            & ~ c0_1(a305)
            & c1_1(a305)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a303)
            & c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a298)
            & c3_1(a298)
            & c1_1(a298)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a295)
            & ~ c0_1(a295)
            & c3_1(a295)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a293)
            & c1_1(a293)
            & c0_1(a293)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a291)
            & c3_1(a291)
            & c2_1(a291)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a287)
            & ~ c0_1(a287)
            & c1_1(a287)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a286)
            & c3_1(a286)
            & c1_1(a286)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a284)
            & ~ c0_1(a284)
            & c2_1(a284)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a282)
            & ~ c0_1(a282)
            & c2_1(a282)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a281)
            & ~ c0_1(a281)
            & c3_1(a281)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a280)
            & c3_1(a280)
            & c2_1(a280)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a275)
            & ~ c2_1(a275)
            & ~ c0_1(a275)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a274)
            & c1_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a273)
            & c2_1(a273)
            & c1_1(a273)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a272)
            & ~ c1_1(a272)
            & c0_1(a272)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a271)
            & ~ c1_1(a271)
            & ~ c0_1(a271)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a270)
            & c3_1(a270)
            & c0_1(a270)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a269)
            & ~ c1_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a268)
            & ~ c1_1(a268)
            & c3_1(a268)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a267)
            & ~ c2_1(a267)
            & c0_1(a267)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ( ( hskp26
          | hskp1
          | hskp12 )
        & ( hskp12
          | hskp25
          | hskp14 )
        & ( hskp9
          | hskp19
          | hskp0 )
        & ( hskp9
          | hskp6
          | hskp22 )
        & ( hskp23
          | hskp10
          | hskp21 )
        & ( hskp17
          | hskp14
          | hskp30 )
        & ( hskp5
          | hskp30
          | hskp16 )
        & ( hskp18
          | hskp7
          | hskp16 )
        & ( hskp11
          | hskp9
          | hskp29 )
        & ( hskp11
          | hskp22
          | hskp29 )
        & ( hskp20
          | hskp19
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c1_1(X87) ) ) )
        & ( hskp8
          | hskp7
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c1_1(X86) ) ) )
        & ( hskp19
          | hskp7
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | ~ c0_1(X85) ) ) )
        & ( hskp4
          | hskp3
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c1_1(X84)
                | ~ c0_1(X84) ) ) )
        & ( hskp24
          | hskp21
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c0_1(X83)
                | c3_1(X83) ) ) )
        & ( hskp0
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) ) )
        & ( hskp23
          | hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c1_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) ) )
        & ( hskp23
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c1_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c1_1(X78)
                | c2_1(X78) ) ) )
        & ( hskp0
          | hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp5
          | hskp29
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp8
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c0_1(X75)
                | c2_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp21
          | ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | c3_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp1
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c3_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp20
          | hskp29
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c1_1(X69) ) ) )
        & ( ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | ~ c1_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c0_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp19
          | hskp27
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) ) )
        & ( hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp10
          | hskp0
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | ~ c0_1(X61)
                | c2_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | c2_1(X60)
                | c1_1(X60) ) ) )
        & ( hskp18
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | ~ c0_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) ) )
        & ( hskp7
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c1_1(X57)
                | c2_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp7
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c0_1(X52)
                | c3_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c3_1(X51)
                | c2_1(X51)
                | c1_1(X51) ) ) )
        & ( hskp17
          | hskp0
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp16
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp12
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp6
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | ~ c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c3_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | c3_1(X43)
                | c1_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp4
          | hskp1
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp14
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp13
          | hskp6
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | c3_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp12
          | hskp7
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | c3_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c1_1(X37)
                | ~ c0_1(X37)
                | c3_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c1_1(X35)
                | c3_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp11
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp10
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | ~ c1_1(X30)
                | ~ c0_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp9
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp27
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp1
          | hskp27
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp8
          | hskp7
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp6
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | ~ c1_1(X20)
                | ~ c0_1(X20) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( hskp5
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | c1_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp2
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c2_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp1
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c0_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c2_1(X2)
                | c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( ( c3_1(a337)
            & c2_1(a337)
            & c0_1(a337)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a304)
            & c1_1(a304)
            & c0_1(a304)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a278)
            & c1_1(a278)
            & c0_1(a278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a276)
            & c2_1(a276)
            & c1_1(a276)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a356)
            & ~ c1_1(a356)
            & ~ c0_1(a356)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a352)
            & ~ c2_1(a352)
            & c1_1(a352)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a318)
            & ~ c1_1(a318)
            & c2_1(a318)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a313)
            & ~ c2_1(a313)
            & ~ c1_1(a313)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a311)
            & c2_1(a311)
            & c0_1(a311)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a307)
            & c2_1(a307)
            & c0_1(a307)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a305)
            & ~ c0_1(a305)
            & c1_1(a305)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a303)
            & c2_1(a303)
            & c1_1(a303)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a298)
            & c3_1(a298)
            & c1_1(a298)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a295)
            & ~ c0_1(a295)
            & c3_1(a295)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a293)
            & c1_1(a293)
            & c0_1(a293)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a291)
            & c3_1(a291)
            & c2_1(a291)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a287)
            & ~ c0_1(a287)
            & c1_1(a287)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a286)
            & c3_1(a286)
            & c1_1(a286)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a284)
            & ~ c0_1(a284)
            & c2_1(a284)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a282)
            & ~ c0_1(a282)
            & c2_1(a282)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a281)
            & ~ c0_1(a281)
            & c3_1(a281)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a280)
            & c3_1(a280)
            & c2_1(a280)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a275)
            & ~ c2_1(a275)
            & ~ c0_1(a275)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a274)
            & c1_1(a274)
            & c0_1(a274)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c0_1(a273)
            & c2_1(a273)
            & c1_1(a273)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a272)
            & ~ c1_1(a272)
            & c0_1(a272)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a271)
            & ~ c1_1(a271)
            & ~ c0_1(a271)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a270)
            & c3_1(a270)
            & c0_1(a270)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a269)
            & ~ c1_1(a269)
            & c0_1(a269)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a268)
            & ~ c1_1(a268)
            & c3_1(a268)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a267)
            & ~ c2_1(a267)
            & c0_1(a267)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ! [X88,X89,X90,X91,X92,X93,X94,X95,X96,X97,X98,X99,X100,X101,X102,X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,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] :
      ( ( hskp26
        | hskp1
        | hskp12 )
      & ( hskp12
        | hskp25
        | hskp14 )
      & ( hskp9
        | hskp19
        | hskp0 )
      & ( hskp9
        | hskp6
        | hskp22 )
      & ( hskp23
        | hskp10
        | hskp21 )
      & ( hskp17
        | hskp14
        | hskp30 )
      & ( hskp5
        | hskp30
        | hskp16 )
      & ( hskp18
        | hskp7
        | hskp16 )
      & ( hskp11
        | hskp9
        | hskp29 )
      & ( hskp11
        | hskp22
        | hskp29 )
      & ( hskp20
        | hskp19
        | ~ c3_1(X174)
        | ~ c2_1(X174)
        | ~ c1_1(X174)
        | ~ ndr1_0 )
      & ( hskp8
        | hskp7
        | ~ c3_1(X173)
        | ~ c2_1(X173)
        | ~ c1_1(X173)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp7
        | ~ c3_1(X172)
        | ~ c1_1(X172)
        | ~ c0_1(X172)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp3
        | ~ c2_1(X171)
        | ~ c1_1(X171)
        | ~ c0_1(X171)
        | ~ ndr1_0 )
      & ( hskp24
        | hskp21
        | ~ c2_1(X170)
        | ~ c0_1(X170)
        | c3_1(X170)
        | ~ ndr1_0 )
      & ( hskp0
        | ~ c2_1(X169)
        | ~ c1_1(X169)
        | ~ c0_1(X169)
        | ~ ndr1_0
        | ~ c2_1(X168)
        | ~ c0_1(X168)
        | c3_1(X168)
        | ~ ndr1_0 )
      & ( hskp23
        | hskp28
        | ~ c1_1(X167)
        | ~ c0_1(X167)
        | c3_1(X167)
        | ~ ndr1_0 )
      & ( hskp23
        | ~ c3_1(X166)
        | ~ c1_1(X166)
        | ~ c0_1(X166)
        | ~ ndr1_0
        | ~ c3_1(X165)
        | ~ c1_1(X165)
        | c2_1(X165)
        | ~ ndr1_0 )
      & ( hskp0
        | hskp22
        | ~ c3_1(X164)
        | ~ c2_1(X164)
        | c1_1(X164)
        | ~ ndr1_0 )
      & ( hskp5
        | hskp29
        | ~ c3_1(X163)
        | ~ c2_1(X163)
        | c1_1(X163)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c1_1(X162)
        | ~ c0_1(X162)
        | c2_1(X162)
        | ~ ndr1_0
        | ~ c3_1(X161)
        | ~ c2_1(X161)
        | c1_1(X161)
        | ~ ndr1_0 )
      & ( hskp21
        | ~ c2_1(X160)
        | ~ c1_1(X160)
        | c3_1(X160)
        | ~ ndr1_0
        | ~ c3_1(X159)
        | ~ c0_1(X159)
        | c1_1(X159)
        | ~ ndr1_0 )
      & ( hskp1
        | ~ c0_1(X158)
        | c3_1(X158)
        | c2_1(X158)
        | ~ ndr1_0
        | ~ c3_1(X157)
        | ~ c0_1(X157)
        | c1_1(X157)
        | ~ ndr1_0 )
      & ( hskp20
        | hskp29
        | ~ c2_1(X156)
        | ~ c0_1(X156)
        | c1_1(X156)
        | ~ ndr1_0 )
      & ( ~ c3_1(X155)
        | ~ c2_1(X155)
        | ~ c1_1(X155)
        | ~ ndr1_0
        | ~ c3_1(X154)
        | ~ c0_1(X154)
        | c1_1(X154)
        | ~ ndr1_0
        | ~ c2_1(X153)
        | ~ c0_1(X153)
        | c1_1(X153)
        | ~ ndr1_0 )
      & ( hskp19
        | hskp27
        | ~ c0_1(X152)
        | c3_1(X152)
        | c1_1(X152)
        | ~ ndr1_0 )
      & ( hskp8
        | ~ c3_1(X151)
        | c2_1(X151)
        | c1_1(X151)
        | ~ ndr1_0 )
      & ( hskp10
        | hskp0
        | ~ c3_1(X150)
        | c2_1(X150)
        | c1_1(X150)
        | ~ ndr1_0 )
      & ( ~ c2_1(X149)
        | ~ c1_1(X149)
        | c3_1(X149)
        | ~ ndr1_0
        | ~ c1_1(X148)
        | ~ c0_1(X148)
        | c2_1(X148)
        | ~ ndr1_0
        | ~ c3_1(X147)
        | c2_1(X147)
        | c1_1(X147)
        | ~ ndr1_0 )
      & ( hskp18
        | ~ c2_1(X146)
        | ~ c1_1(X146)
        | ~ c0_1(X146)
        | ~ ndr1_0
        | ~ c0_1(X145)
        | c2_1(X145)
        | c1_1(X145)
        | ~ ndr1_0 )
      & ( hskp7
        | ~ c3_1(X144)
        | ~ c1_1(X144)
        | c2_1(X144)
        | ~ ndr1_0
        | ~ c0_1(X143)
        | c2_1(X143)
        | c1_1(X143)
        | ~ ndr1_0 )
      & ( ~ c1_1(X142)
        | c3_1(X142)
        | c2_1(X142)
        | ~ ndr1_0
        | ~ c0_1(X141)
        | c3_1(X141)
        | c2_1(X141)
        | ~ ndr1_0
        | ~ c0_1(X140)
        | c2_1(X140)
        | c1_1(X140)
        | ~ ndr1_0 )
      & ( hskp7
        | ~ c2_1(X139)
        | ~ c0_1(X139)
        | c3_1(X139)
        | ~ ndr1_0
        | c3_1(X138)
        | c2_1(X138)
        | c1_1(X138)
        | ~ ndr1_0 )
      & ( hskp17
        | hskp0
        | ~ c3_1(X137)
        | ~ c1_1(X137)
        | c0_1(X137)
        | ~ ndr1_0 )
      & ( hskp16
        | ~ c3_1(X136)
        | ~ c0_1(X136)
        | c1_1(X136)
        | ~ ndr1_0
        | ~ c3_1(X135)
        | ~ c1_1(X135)
        | c0_1(X135)
        | ~ ndr1_0 )
      & ( hskp12
        | hskp15
        | ~ c2_1(X134)
        | ~ c1_1(X134)
        | c0_1(X134)
        | ~ ndr1_0 )
      & ( hskp6
        | ~ c3_1(X133)
        | ~ c2_1(X133)
        | ~ c0_1(X133)
        | ~ ndr1_0
        | ~ c2_1(X132)
        | ~ c1_1(X132)
        | c0_1(X132)
        | ~ ndr1_0 )
      & ( ~ c2_1(X131)
        | ~ c0_1(X131)
        | c3_1(X131)
        | ~ ndr1_0
        | ~ c0_1(X130)
        | c3_1(X130)
        | c1_1(X130)
        | ~ ndr1_0
        | ~ c2_1(X129)
        | ~ c1_1(X129)
        | c0_1(X129)
        | ~ ndr1_0 )
      & ( hskp4
        | hskp1
        | ~ c2_1(X128)
        | c3_1(X128)
        | c0_1(X128)
        | ~ ndr1_0 )
      & ( hskp14
        | ~ c2_1(X127)
        | c3_1(X127)
        | c0_1(X127)
        | ~ ndr1_0 )
      & ( hskp13
        | hskp6
        | ~ c2_1(X126)
        | c3_1(X126)
        | c0_1(X126)
        | ~ ndr1_0 )
      & ( hskp12
        | hskp7
        | ~ c2_1(X125)
        | c3_1(X125)
        | c0_1(X125)
        | ~ ndr1_0 )
      & ( ~ c1_1(X124)
        | ~ c0_1(X124)
        | c3_1(X124)
        | ~ ndr1_0
        | ~ c3_1(X123)
        | ~ c0_1(X123)
        | c1_1(X123)
        | ~ ndr1_0
        | ~ c1_1(X122)
        | c3_1(X122)
        | c0_1(X122)
        | ~ ndr1_0 )
      & ( hskp11
        | ~ c3_1(X121)
        | ~ c1_1(X121)
        | c2_1(X121)
        | ~ ndr1_0
        | ~ c3_1(X120)
        | c2_1(X120)
        | c0_1(X120)
        | ~ ndr1_0 )
      & ( hskp10
        | ~ c3_1(X119)
        | ~ c2_1(X119)
        | c1_1(X119)
        | ~ ndr1_0
        | ~ c3_1(X118)
        | c2_1(X118)
        | c0_1(X118)
        | ~ ndr1_0 )
      & ( ~ c3_1(X117)
        | ~ c1_1(X117)
        | ~ c0_1(X117)
        | ~ ndr1_0
        | ~ c3_1(X116)
        | ~ c1_1(X116)
        | c0_1(X116)
        | ~ ndr1_0
        | ~ c3_1(X115)
        | c2_1(X115)
        | c0_1(X115)
        | ~ ndr1_0 )
      & ( hskp9
        | ~ c1_1(X114)
        | c2_1(X114)
        | c0_1(X114)
        | ~ ndr1_0 )
      & ( hskp27
        | ~ c3_1(X113)
        | ~ c2_1(X113)
        | ~ c0_1(X113)
        | ~ ndr1_0
        | ~ c1_1(X112)
        | c2_1(X112)
        | c0_1(X112)
        | ~ ndr1_0 )
      & ( hskp28
        | ~ c2_1(X111)
        | c3_1(X111)
        | c0_1(X111)
        | ~ ndr1_0
        | c3_1(X110)
        | c2_1(X110)
        | c0_1(X110)
        | ~ ndr1_0 )
      & ( hskp1
        | hskp27
        | ~ c3_1(X109)
        | c1_1(X109)
        | c0_1(X109)
        | ~ ndr1_0 )
      & ( hskp8
        | hskp7
        | ~ c3_1(X108)
        | c1_1(X108)
        | c0_1(X108)
        | ~ ndr1_0 )
      & ( hskp6
        | ~ c2_1(X107)
        | ~ c1_1(X107)
        | ~ c0_1(X107)
        | ~ ndr1_0
        | ~ c3_1(X106)
        | c1_1(X106)
        | c0_1(X106)
        | ~ ndr1_0 )
      & ( hskp5
        | ~ c0_1(X105)
        | c3_1(X105)
        | c2_1(X105)
        | ~ ndr1_0
        | ~ c2_1(X104)
        | c1_1(X104)
        | c0_1(X104)
        | ~ ndr1_0 )
      & ( hskp4
        | ~ c0_1(X103)
        | c3_1(X103)
        | c1_1(X103)
        | ~ ndr1_0
        | ~ c2_1(X102)
        | c1_1(X102)
        | c0_1(X102)
        | ~ ndr1_0 )
      & ( ~ c1_1(X101)
        | ~ c0_1(X101)
        | c2_1(X101)
        | ~ ndr1_0
        | ~ c3_1(X100)
        | ~ c1_1(X100)
        | c0_1(X100)
        | ~ ndr1_0
        | ~ c2_1(X99)
        | c1_1(X99)
        | c0_1(X99)
        | ~ ndr1_0 )
      & ( hskp3
        | ~ c3_1(X98)
        | c1_1(X98)
        | c0_1(X98)
        | ~ ndr1_0
        | ~ c2_1(X97)
        | c1_1(X97)
        | c0_1(X97)
        | ~ ndr1_0 )
      & ( hskp2
        | c3_1(X96)
        | c2_1(X96)
        | c0_1(X96)
        | ~ ndr1_0
        | c3_1(X95)
        | c1_1(X95)
        | c0_1(X95)
        | ~ ndr1_0 )
      & ( hskp1
        | hskp0
        | c2_1(X94)
        | c1_1(X94)
        | c0_1(X94)
        | ~ ndr1_0 )
      & ( ~ c2_1(X93)
        | c3_1(X93)
        | c1_1(X93)
        | ~ ndr1_0
        | ~ c3_1(X92)
        | c2_1(X92)
        | c1_1(X92)
        | ~ ndr1_0
        | c2_1(X91)
        | c1_1(X91)
        | c0_1(X91)
        | ~ ndr1_0 )
      & ( ~ c2_1(X90)
        | ~ c0_1(X90)
        | c1_1(X90)
        | ~ ndr1_0
        | c3_1(X89)
        | c2_1(X89)
        | c1_1(X89)
        | ~ ndr1_0
        | c2_1(X88)
        | c1_1(X88)
        | c0_1(X88)
        | ~ ndr1_0 )
      & ( ~ hskp30
        | c3_1(a337) )
      & ( ~ hskp30
        | c2_1(a337) )
      & ( ~ hskp30
        | c0_1(a337) )
      & ( ~ hskp30
        | ndr1_0 )
      & ( ~ hskp29
        | c2_1(a304) )
      & ( ~ hskp29
        | c1_1(a304) )
      & ( ~ hskp29
        | c0_1(a304) )
      & ( ~ hskp29
        | ndr1_0 )
      & ( ~ hskp28
        | c3_1(a278) )
      & ( ~ hskp28
        | c1_1(a278) )
      & ( ~ hskp28
        | c0_1(a278) )
      & ( ~ hskp28
        | ndr1_0 )
      & ( ~ hskp27
        | c3_1(a276) )
      & ( ~ hskp27
        | c2_1(a276) )
      & ( ~ hskp27
        | c1_1(a276) )
      & ( ~ hskp27
        | ndr1_0 )
      & ( ~ hskp26
        | ~ c2_1(a356) )
      & ( ~ hskp26
        | ~ c1_1(a356) )
      & ( ~ hskp26
        | ~ c0_1(a356) )
      & ( ~ hskp26
        | ndr1_0 )
      & ( ~ hskp25
        | ~ c3_1(a352) )
      & ( ~ hskp25
        | ~ c2_1(a352) )
      & ( ~ hskp25
        | c1_1(a352) )
      & ( ~ hskp25
        | ndr1_0 )
      & ( ~ hskp24
        | ~ c3_1(a318) )
      & ( ~ hskp24
        | ~ c1_1(a318) )
      & ( ~ hskp24
        | c2_1(a318) )
      & ( ~ hskp24
        | ndr1_0 )
      & ( ~ hskp23
        | ~ c3_1(a313) )
      & ( ~ hskp23
        | ~ c2_1(a313) )
      & ( ~ hskp23
        | ~ c1_1(a313) )
      & ( ~ hskp23
        | ndr1_0 )
      & ( ~ hskp22
        | ~ c3_1(a311) )
      & ( ~ hskp22
        | c2_1(a311) )
      & ( ~ hskp22
        | c0_1(a311) )
      & ( ~ hskp22
        | ndr1_0 )
      & ( ~ hskp21
        | ~ c1_1(a307) )
      & ( ~ hskp21
        | c2_1(a307) )
      & ( ~ hskp21
        | c0_1(a307) )
      & ( ~ hskp21
        | ndr1_0 )
      & ( ~ hskp20
        | ~ c3_1(a305) )
      & ( ~ hskp20
        | ~ c0_1(a305) )
      & ( ~ hskp20
        | c1_1(a305) )
      & ( ~ hskp20
        | ndr1_0 )
      & ( ~ hskp19
        | ~ c3_1(a303) )
      & ( ~ hskp19
        | c2_1(a303) )
      & ( ~ hskp19
        | c1_1(a303) )
      & ( ~ hskp19
        | ndr1_0 )
      & ( ~ hskp18
        | ~ c2_1(a298) )
      & ( ~ hskp18
        | c3_1(a298) )
      & ( ~ hskp18
        | c1_1(a298) )
      & ( ~ hskp18
        | ndr1_0 )
      & ( ~ hskp17
        | ~ c1_1(a295) )
      & ( ~ hskp17
        | ~ c0_1(a295) )
      & ( ~ hskp17
        | c3_1(a295) )
      & ( ~ hskp17
        | ndr1_0 )
      & ( ~ hskp16
        | ~ c2_1(a293) )
      & ( ~ hskp16
        | c1_1(a293) )
      & ( ~ hskp16
        | c0_1(a293) )
      & ( ~ hskp16
        | ndr1_0 )
      & ( ~ hskp15
        | ~ c0_1(a291) )
      & ( ~ hskp15
        | c3_1(a291) )
      & ( ~ hskp15
        | c2_1(a291) )
      & ( ~ hskp15
        | ndr1_0 )
      & ( ~ hskp14
        | ~ c2_1(a287) )
      & ( ~ hskp14
        | ~ c0_1(a287) )
      & ( ~ hskp14
        | c1_1(a287) )
      & ( ~ hskp14
        | ndr1_0 )
      & ( ~ hskp13
        | ~ c0_1(a286) )
      & ( ~ hskp13
        | c3_1(a286) )
      & ( ~ hskp13
        | c1_1(a286) )
      & ( ~ hskp13
        | ndr1_0 )
      & ( ~ hskp12
        | ~ c3_1(a284) )
      & ( ~ hskp12
        | ~ c0_1(a284) )
      & ( ~ hskp12
        | c2_1(a284) )
      & ( ~ hskp12
        | ndr1_0 )
      & ( ~ hskp11
        | ~ c1_1(a282) )
      & ( ~ hskp11
        | ~ c0_1(a282) )
      & ( ~ hskp11
        | c2_1(a282) )
      & ( ~ hskp11
        | ndr1_0 )
      & ( ~ hskp10
        | ~ c2_1(a281) )
      & ( ~ hskp10
        | ~ c0_1(a281) )
      & ( ~ hskp10
        | c3_1(a281) )
      & ( ~ hskp10
        | ndr1_0 )
      & ( ~ hskp9
        | ~ c1_1(a280) )
      & ( ~ hskp9
        | c3_1(a280) )
      & ( ~ hskp9
        | c2_1(a280) )
      & ( ~ hskp9
        | ndr1_0 )
      & ( ~ hskp8
        | ~ c3_1(a275) )
      & ( ~ hskp8
        | ~ c2_1(a275) )
      & ( ~ hskp8
        | ~ c0_1(a275) )
      & ( ~ hskp8
        | ndr1_0 )
      & ( ~ hskp7
        | ~ c3_1(a274) )
      & ( ~ hskp7
        | c1_1(a274) )
      & ( ~ hskp7
        | c0_1(a274) )
      & ( ~ hskp7
        | ndr1_0 )
      & ( ~ hskp6
        | ~ c0_1(a273) )
      & ( ~ hskp6
        | c2_1(a273) )
      & ( ~ hskp6
        | c1_1(a273) )
      & ( ~ hskp6
        | ndr1_0 )
      & ( ~ hskp5
        | ~ c3_1(a272) )
      & ( ~ hskp5
        | ~ c1_1(a272) )
      & ( ~ hskp5
        | c0_1(a272) )
      & ( ~ hskp5
        | ndr1_0 )
      & ( ~ hskp4
        | ~ c3_1(a271) )
      & ( ~ hskp4
        | ~ c1_1(a271) )
      & ( ~ hskp4
        | ~ c0_1(a271) )
      & ( ~ hskp4
        | ndr1_0 )
      & ( ~ hskp3
        | ~ c2_1(a270) )
      & ( ~ hskp3
        | c3_1(a270) )
      & ( ~ hskp3
        | c0_1(a270) )
      & ( ~ hskp3
        | ndr1_0 )
      & ( ~ hskp2
        | ~ c2_1(a269) )
      & ( ~ hskp2
        | ~ c1_1(a269) )
      & ( ~ hskp2
        | c0_1(a269) )
      & ( ~ hskp2
        | ndr1_0 )
      & ( ~ hskp1
        | ~ c2_1(a268) )
      & ( ~ hskp1
        | ~ c1_1(a268) )
      & ( ~ hskp1
        | c3_1(a268) )
      & ( ~ hskp1
        | ndr1_0 )
      & ( ~ hskp0
        | ~ c3_1(a267) )
      & ( ~ hskp0
        | ~ c2_1(a267) )
      & ( ~ hskp0
        | c0_1(a267) )
      & ( ~ hskp0
        | ndr1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

cnf(c_0_4,negated_conjecture,
    ( ~ hskp19
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    ( hskp9
    | hskp19
    | hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ hskp9
    | ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ ndr1_0
    | hskp8
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7]) ).

fof(c_0_10,plain,
    ( ~ epred37_0
  <=> ! [X2] :
        ( c1_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_11,plain,
    ( ~ epred15_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_12,plain,
    ( ~ epred40_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | c3_1(X3)
        | c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_13,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp8 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred37_0 ),
    inference(split_equiv,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ( ~ epred10_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_16,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ ndr1_0
    | hskp9
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred15_0 ),
    inference(split_equiv,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred40_0 ),
    inference(split_equiv,[status(thm)],[c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a275) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_20,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | hskp8
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

fof(c_0_21,plain,
    ( ~ epred13_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | hskp1 ) ),
    introduced(definition) ).

fof(c_0_22,plain,
    ( ~ epred19_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp6
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_23,plain,
    ( ~ epred22_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c0_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

fof(c_0_24,plain,
    ( ~ epred5_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp3
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( ~ epred2_0
  <=> ! [X2] :
        ( c3_1(X2)
        | c2_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_26,plain,
    ( ~ epred36_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(definition) ).

fof(c_0_27,plain,
    ( ~ epred50_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | c1_1(X2) ) ),
    introduced(definition) ).

fof(c_0_28,plain,
    ( ~ epred9_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ ndr1_0
        | hskp5
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_29,plain,
    ( ~ epred29_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

fof(c_0_30,plain,
    ( ~ epred38_0
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | c1_1(X3) ) ),
    introduced(definition) ).

fof(c_0_31,plain,
    ( ~ epred39_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_32,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | hskp14
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_33,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a352) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred10_0 ),
    inference(split_equiv,[status(thm)],[c_0_15]) ).

cnf(c_0_35,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a352) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp9 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_9])]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ hskp25
    | c1_1(a352) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ c1_1(X1)
    | c2_1(X1)
    | epred15_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_39,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a275) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_40,negated_conjecture,
    ( c2_1(a275)
    | c1_1(a275)
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_14]),c_0_20]) ).

fof(c_0_41,plain,
    ( ~ epred43_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_42,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | hskp1
    | c1_1(X1)
    | epred13_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_21]),c_0_9])]) ).

cnf(c_0_43,negated_conjecture,
    ( ~ hskp9
    | c3_1(a280) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_44,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a280) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp6
    | epred19_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_22]),c_0_9])]) ).

cnf(c_0_46,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a270) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_47,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c1_1(X1)
    | c2_1(X1)
    | epred22_0 ),
    inference(split_equiv,[status(thm)],[c_0_23]) ).

cnf(c_0_48,negated_conjecture,
    ( ~ hskp3
    | c0_1(a270) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ hskp3
    | c3_1(a270) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_50,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp3
    | epred5_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_24]),c_0_9])]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ hskp9
    | c2_1(a280) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_52,plain,
    ( ~ epred49_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_53,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c3_1(X1)
    | epred2_0 ),
    inference(split_equiv,[status(thm)],[c_0_25]) ).

cnf(c_0_54,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a275) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_55,plain,
    ( ~ epred1_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | hskp2
        | c1_1(X1)
        | c3_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

fof(c_0_56,plain,
    ( ~ epred35_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c2_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_57,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a272) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ c2_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred36_0 ),
    inference(split_equiv,[status(thm)],[c_0_26]) ).

cnf(c_0_59,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a272) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_60,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c3_1(X1)
    | c1_1(X1)
    | epred50_0 ),
    inference(split_equiv,[status(thm)],[c_0_27]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | hskp5
    | epred9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_28]),c_0_9])]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c3_1(X1)
    | epred29_0 ),
    inference(split_equiv,[status(thm)],[c_0_29]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred38_0 ),
    inference(split_equiv,[status(thm)],[c_0_30]) ).

fof(c_0_64,plain,
    ( ~ epred6_0
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | c1_1(X2)
        | c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_65,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred39_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_31]),c_0_9])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ hskp14
    | c1_1(a287) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_67,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a287) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a287) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp14 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_9])]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ hskp12
    | c2_1(a284) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a284) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_72,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a284) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_73,negated_conjecture,
    ( ~ c0_1(a352)
    | ~ hskp25
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ hskp25
    | c0_1(a352)
    | hskp9 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_35]) ).

cnf(c_0_75,negated_conjecture,
    ( ~ hskp25
    | epred15_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_38]),c_0_37]) ).

cnf(c_0_76,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_77,plain,
    ( ~ epred20_0
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | ~ c2_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(definition) ).

cnf(c_0_78,negated_conjecture,
    ( ~ c1_1(a275)
    | ~ hskp8
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_39]) ).

cnf(c_0_79,negated_conjecture,
    ( ~ hskp8
    | c1_1(a275)
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

fof(c_0_80,plain,
    ( ~ epred12_0
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_81,plain,
    ( ~ epred21_0
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ ndr1_0
        | hskp8
        | c1_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_82,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c1_1(X1)
    | c0_1(X1)
    | epred43_0 ),
    inference(split_equiv,[status(thm)],[c_0_41]) ).

cnf(c_0_83,negated_conjecture,
    ( ~ hskp6
    | c2_1(a273) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_84,negated_conjecture,
    ( ~ hskp6
    | c1_1(a273) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_85,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a273) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_86,negated_conjecture,
    ( ~ c0_1(a280)
    | ~ hskp9
    | hskp1
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).

cnf(c_0_87,negated_conjecture,
    ( ~ hskp9
    | c0_1(a280)
    | hskp6
    | epred19_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_44]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ c1_1(a270)
    | ~ hskp3
    | epred22_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_89,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | c1_1(a270)
    | epred13_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_49]),c_0_48]) ).

cnf(c_0_90,negated_conjecture,
    ( ~ hskp9
    | c0_1(a280)
    | hskp3
    | epred5_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_44]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c1_1(X1)
    | epred49_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_52]),c_0_9])]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ hskp8
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_53]),c_0_54]),c_0_39]) ).

cnf(c_0_93,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp2
    | epred1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_55]),c_0_9])]) ).

fof(c_0_94,plain,
    ( ~ epred30_0
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | ~ c0_1(X1)
        | ~ ndr1_0
        | c3_1(X1)
        | hskp0 ) ),
    introduced(definition) ).

cnf(c_0_95,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a274) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_96,negated_conjecture,
    ( ~ hskp7
    | c1_1(a274) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_97,plain,
    ( ~ epred28_0
  <=> ! [X1] :
        ( ~ c1_1(X1)
        | ~ ndr1_0
        | hskp27
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_98,negated_conjecture,
    ( ~ c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred35_0 ),
    inference(split_equiv,[status(thm)],[c_0_56]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ ndr1_0
    | hskp4
    | hskp1
    | c3_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ ndr1_0
    | hskp19
    | hskp27
    | c3_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_101,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp0
    | hskp22
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

fof(c_0_102,plain,
    ( ~ epred42_0
  <=> ! [X2] :
        ( ~ c0_1(X2)
        | ~ ndr1_0
        | c1_1(X2)
        | c3_1(X2) ) ),
    introduced(definition) ).

fof(c_0_103,plain,
    ( ~ epred34_0
  <=> ! [X1] :
        ( ~ ndr1_0
        | c1_1(X1)
        | c2_1(X1)
        | c0_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_104,negated_conjecture,
    ( ~ c2_1(a272)
    | ~ hskp5
    | epred36_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ hskp5
    | c2_1(a272)
    | epred37_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_14]),c_0_59]) ).

cnf(c_0_106,negated_conjecture,
    ( ~ c0_1(a280)
    | ~ hskp9
    | epred50_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_43]),c_0_44]) ).

cnf(c_0_107,negated_conjecture,
    ( ~ hskp9
    | c0_1(a280)
    | hskp5
    | epred9_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_44]) ).

cnf(c_0_108,negated_conjecture,
    ( ~ c0_1(a280)
    | ~ hskp9
    | epred29_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_43]),c_0_51]) ).

cnf(c_0_109,negated_conjecture,
    ( ~ c0_1(a280)
    | ~ hskp9
    | epred38_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_51]),c_0_44]) ).

fof(c_0_110,plain,
    ( ~ epred14_0
  <=> ! [X1] :
        ( ~ c0_1(X1)
        | ~ ndr1_0
        | hskp7
        | c1_1(X1)
        | c2_1(X1) ) ),
    introduced(definition) ).

cnf(c_0_111,negated_conjecture,
    ( ~ c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | epred6_0 ),
    inference(split_equiv,[status(thm)],[c_0_64]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred38_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_65]) ).

cnf(c_0_113,negated_conjecture,
    ( ~ hskp5
    | c0_1(a272) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ hskp1
    | c3_1(a268) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_115,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a268) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_116,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a268) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_117,negated_conjecture,
    ( ~ hskp25
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_18]),c_0_37]),c_0_35]) ).

cnf(c_0_118,negated_conjecture,
    ( ~ hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_66]),c_0_67]),c_0_68]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ hskp12
    | hskp14 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]),c_0_72]) ).

cnf(c_0_120,negated_conjecture,
    ( ~ hskp25
    | hskp9
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_121,negated_conjecture,
    ( ~ hskp14
    | epred15_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_38]),c_0_66]) ).

cnf(c_0_122,negated_conjecture,
    ( hskp12
    | hskp14
    | epred15_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

fof(c_0_123,plain,
    ( ~ epred51_0
  <=> ! [X3] :
        ( ~ c1_1(X3)
        | ~ c3_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(definition) ).

cnf(c_0_124,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | epred20_0 ),
    inference(split_equiv,[status(thm)],[c_0_77]) ).

cnf(c_0_125,negated_conjecture,
    ( ~ hskp19
    | c2_1(a303) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_126,negated_conjecture,
    ( ~ hskp19
    | c1_1(a303) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_127,negated_conjecture,
    ( ~ hskp8
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_128,negated_conjecture,
    ( ~ hskp27
    | c2_1(a276) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_129,negated_conjecture,
    ( ~ hskp27
    | c1_1(a276) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_130,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | c3_1(X1)
    | epred12_0 ),
    inference(split_equiv,[status(thm)],[c_0_80]) ).

cnf(c_0_131,negated_conjecture,
    ( ~ hskp7
    | c0_1(a274) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_132,negated_conjecture,
    ( ~ c3_1(X1)
    | c1_1(X1)
    | hskp8
    | epred21_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_81]),c_0_9])]) ).

cnf(c_0_133,negated_conjecture,
    ( ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_134,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c3_1(X2)
    | c1_1(X2)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c3_1(X3)
    | c2_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_136,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ ndr1_0
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_137,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0
    | c3_1(X3)
    | c1_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp0
    | c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_139,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | hskp27
    | c2_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp8
    | c2_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_141,negated_conjecture,
    ( ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | hskp6
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_142,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp7
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | hskp1
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_144,negated_conjecture,
    ( ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp5
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_145,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ ndr1_0
    | hskp3
    | c1_1(X2)
    | c0_1(X2)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_146,negated_conjecture,
    ( ~ ndr1_0
    | ~ ndr1_0
    | hskp2
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_147,negated_conjecture,
    ( ~ hskp6
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]) ).

cnf(c_0_148,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | hskp6
    | epred13_0
    | epred19_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_149,negated_conjecture,
    ( ~ hskp3
    | hskp1
    | epred13_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_150,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | hskp3
    | epred5_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_90]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ c0_1(X1)
    | c1_1(X1)
    | epred39_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_91,c_0_65]) ).

cnf(c_0_152,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a356) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_153,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_53]),c_0_92]) ).

cnf(c_0_154,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2
    | hskp8
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_13,c_0_93]) ).

cnf(c_0_155,negated_conjecture,
    ( ~ c0_1(X1)
    | ~ c2_1(X1)
    | hskp0
    | c3_1(X1)
    | epred30_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_94]),c_0_9])]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ hskp7
    | c2_1(a274)
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_18]),c_0_96]) ).

cnf(c_0_157,negated_conjecture,
    ( ~ c1_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | hskp27
    | epred28_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_97]),c_0_9])]) ).

cnf(c_0_158,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2
    | epred1_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_98,c_0_93]) ).

cnf(c_0_159,negated_conjecture,
    ( ~ hskp8
    | c1_1(a275)
    | hskp2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_93]),c_0_54]) ).

cnf(c_0_160,negated_conjecture,
    ( ~ c2_1(X1)
    | c0_1(X1)
    | c3_1(X1)
    | hskp1
    | hskp4 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_9])]) ).

cnf(c_0_161,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | hskp19
    | hskp27 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_9])]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ hskp22
    | c0_1(a311) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_163,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | hskp0
    | c1_1(X1)
    | hskp22 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_9])]) ).

cnf(c_0_164,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a311) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | epred42_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_102]),c_0_9])]) ).

cnf(c_0_166,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a269) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_167,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | epred34_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_103]),c_0_9])]) ).

cnf(c_0_168,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a356) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_169,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a356) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_170,negated_conjecture,
    ( ~ hskp22
    | c2_1(a311) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_171,negated_conjecture,
    ( ~ hskp5
    | epred36_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_172,negated_conjecture,
    ( ~ hskp9
    | hskp5
    | epred9_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_173,negated_conjecture,
    ( ~ hskp9
    | hskp5
    | epred9_0
    | epred29_0 ),
    inference(spm,[status(thm)],[c_0_108,c_0_107]) ).

cnf(c_0_174,negated_conjecture,
    ( ~ hskp9
    | hskp6
    | epred19_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_87]) ).

cnf(c_0_175,negated_conjecture,
    ( ~ c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp7
    | epred14_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_110]),c_0_9])]) ).

cnf(c_0_176,negated_conjecture,
    ( ~ hskp2
    | c0_1(a269) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_177,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a269) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ hskp9
    | c0_1(a280)
    | epred6_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_43]),c_0_44]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ hskp5
    | epred38_0
    | epred39_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_59]) ).

cnf(c_0_180,negated_conjecture,
    ( ~ hskp9
    | hskp5
    | epred9_0
    | epred38_0 ),
    inference(spm,[status(thm)],[c_0_109,c_0_107]) ).

cnf(c_0_181,negated_conjecture,
    ( ~ hskp1
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_114]),c_0_115]),c_0_116]) ).

cnf(c_0_182,negated_conjecture,
    ( hskp12
    | hskp14
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_117,c_0_76]) ).

cnf(c_0_183,negated_conjecture,
    ( ~ hskp12
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_118,c_0_119]) ).

cnf(c_0_184,negated_conjecture,
    ( hskp9
    | hskp14
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_76]),c_0_119]) ).

cnf(c_0_185,negated_conjecture,
    ( hskp12
    | epred15_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_121,c_0_122]) ).

cnf(c_0_186,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | epred51_0 ),
    inference(split_equiv,[status(thm)],[c_0_123]) ).

cnf(c_0_187,negated_conjecture,
    ( ~ hskp27
    | c3_1(a276) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_188,negated_conjecture,
    ( ~ c0_1(a303)
    | ~ hskp19
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).

cnf(c_0_189,negated_conjecture,
    ( ~ hskp19
    | c0_1(a303)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_125]),c_0_126]) ).

cnf(c_0_190,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | epred37_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_127,c_0_20]) ).

cnf(c_0_191,negated_conjecture,
    ( ~ c0_1(a276)
    | ~ hskp27
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_128]),c_0_129]) ).

cnf(c_0_192,negated_conjecture,
    ( ~ hskp27
    | c0_1(a276)
    | epred43_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_128]),c_0_129]) ).

cnf(c_0_193,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a267) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_194,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a267) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_195,negated_conjecture,
    ( ~ c2_1(a274)
    | ~ hskp7
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_130]),c_0_131]) ).

cnf(c_0_196,negated_conjecture,
    ( ~ hskp0
    | c0_1(a267) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_197,negated_conjecture,
    ( ~ hskp9
    | hskp8
    | epred21_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_43]),c_0_44]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a271) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_199,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a271) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_200,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a271) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_201,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_133]) ).

cnf(c_0_202,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c1_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_134]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ c1_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c2_1(X3) ),
    inference(cn,[status(thm)],[c_0_135]) ).

cnf(c_0_204,negated_conjecture,
    ( ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_136]) ).

cnf(c_0_205,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X3)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | c3_1(X3)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_137]) ).

cnf(c_0_206,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c3_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[c_0_138]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c2_1(X1)
    | c0_1(X1)
    | hskp27 ),
    inference(cn,[status(thm)],[c_0_139]) ).

cnf(c_0_208,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X2)
    | hskp8 ),
    inference(cn,[status(thm)],[c_0_140]) ).

cnf(c_0_209,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c0_1(X1)
    | hskp6 ),
    inference(cn,[status(thm)],[c_0_141]) ).

cnf(c_0_210,negated_conjecture,
    ( ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | hskp7 ),
    inference(cn,[status(thm)],[c_0_142]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | hskp1 ),
    inference(cn,[status(thm)],[c_0_143]) ).

cnf(c_0_212,negated_conjecture,
    ( ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | hskp5 ),
    inference(cn,[status(thm)],[c_0_144]) ).

cnf(c_0_213,negated_conjecture,
    ( ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp3 ),
    inference(cn,[status(thm)],[c_0_145]) ).

cnf(c_0_214,negated_conjecture,
    ( ~ ndr1_0
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp2 ),
    inference(cn,[status(thm)],[c_0_146]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | epred13_0
    | epred19_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ hskp9
    | epred5_0
    | hskp1
    | epred13_0
    | epred22_0 ),
    inference(spm,[status(thm)],[c_0_149,c_0_150]) ).

cnf(c_0_217,negated_conjecture,
    ( ~ hskp9
    | hskp5
    | epred9_0
    | c1_1(a280)
    | epred39_0
    | epred49_0 ),
    inference(spm,[status(thm)],[c_0_151,c_0_107]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ hskp26
    | c0_1(a356)
    | c1_1(a356)
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ hskp26
    | c0_1(a356)
    | c1_1(a356)
    | hskp2
    | hskp8
    | epred1_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_154]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a274)
    | epred40_0
    | hskp0
    | c3_1(a274)
    | epred30_0 ),
    inference(spm,[status(thm)],[c_0_155,c_0_156]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a274)
    | ~ c1_1(a274)
    | epred40_0
    | epred20_0 ),
    inference(spm,[status(thm)],[c_0_124,c_0_156]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ hskp8
    | epred37_0
    | c0_1(a275)
    | c2_1(a275)
    | hskp27
    | epred28_0 ),
    inference(spm,[status(thm)],[c_0_157,c_0_79]) ).

cnf(c_0_223,negated_conjecture,
    ( ~ hskp26
    | c0_1(a356)
    | c1_1(a356)
    | hskp2
    | epred1_0
    | epred35_0 ),
    inference(spm,[status(thm)],[c_0_152,c_0_158]) ).

cnf(c_0_224,negated_conjecture,
    ( ~ hskp8
    | hskp2
    | epred1_0
    | c0_1(a275)
    | c2_1(a275)
    | hskp9 ),
    inference(spm,[status(thm)],[c_0_36,c_0_159]) ).

cnf(c_0_225,negated_conjecture,
    ( ~ hskp12
    | c0_1(a284)
    | c3_1(a284)
    | hskp1
    | hskp4 ),
    inference(spm,[status(thm)],[c_0_160,c_0_70]) ).

cnf(c_0_226,negated_conjecture,
    ( ~ hskp22
    | c3_1(a311)
    | c1_1(a311)
    | hskp19
    | hskp27 ),
    inference(spm,[status(thm)],[c_0_161,c_0_162]) ).

cnf(c_0_227,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a280)
    | hskp0
    | c1_1(a280)
    | hskp22 ),
    inference(spm,[status(thm)],[c_0_163,c_0_43]) ).

cnf(c_0_228,negated_conjecture,
    ( ~ c0_1(a311)
    | ~ hskp22
    | c1_1(a311)
    | epred42_0 ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_229,negated_conjecture,
    ( ~ c0_1(a268)
    | ~ hskp1
    | c1_1(a268)
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_65]) ).

cnf(c_0_230,negated_conjecture,
    ( ~ c0_1(a269)
    | ~ hskp2
    | c1_1(a269)
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_166,c_0_65]) ).

cnf(c_0_231,negated_conjecture,
    ( ~ hskp1
    | c0_1(a268)
    | c1_1(a268)
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_115,c_0_167]) ).

cnf(c_0_232,negated_conjecture,
    ( ~ hskp8
    | c0_1(a275)
    | c1_1(a275)
    | epred34_0 ),
    inference(spm,[status(thm)],[c_0_39,c_0_167]) ).

cnf(c_0_233,negated_conjecture,
    ( ~ hskp26
    | epred34_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_167]),c_0_168]),c_0_169]) ).

cnf(c_0_234,negated_conjecture,
    ( ~ hskp22
    | hskp0
    | epred30_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_170]),c_0_162]),c_0_164]) ).

cnf(c_0_235,negated_conjecture,
    ( ~ hskp9
    | epred9_0
    | epred36_0
    | epred37_0
    | epred50_0 ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_236,negated_conjecture,
    ( ~ hskp9
    | epred9_0
    | epred29_0
    | epred36_0
    | epred37_0 ),
    inference(spm,[status(thm)],[c_0_171,c_0_173]) ).

cnf(c_0_237,negated_conjecture,
    ( ~ hskp9
    | epred19_0
    | epred38_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_147,c_0_174]) ).

cnf(c_0_238,negated_conjecture,
    ( ~ hskp2
    | hskp7
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_166]),c_0_177]) ).

cnf(c_0_239,negated_conjecture,
    ( ~ hskp9
    | hskp1
    | epred6_0
    | epred13_0 ),
    inference(spm,[status(thm)],[c_0_86,c_0_178]) ).

cnf(c_0_240,negated_conjecture,
    ( ~ hskp9
    | epred9_0
    | epred38_0
    | epred39_0 ),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_241,negated_conjecture,
    ( ~ hskp1
    | epred2_0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_181]) ).

cnf(c_0_242,negated_conjecture,
    ( hskp9
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_182]),c_0_183]) ).

cnf(c_0_243,negated_conjecture,
    ( hskp9
    | epred10_0 ),
    inference(spm,[status(thm)],[c_0_118,c_0_184]) ).

cnf(c_0_244,negated_conjecture,
    ( epred15_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_119]),c_0_185]) ).

cnf(c_0_245,negated_conjecture,
    ( ~ hskp27
    | epred51_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_186,c_0_187]),c_0_128]),c_0_129]) ).

cnf(c_0_246,negated_conjecture,
    ( ~ hskp19
    | epred20_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_188,c_0_189]) ).

cnf(c_0_247,negated_conjecture,
    ( ~ hskp2
    | epred37_0
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_190]),c_0_177]) ).

cnf(c_0_248,negated_conjecture,
    ( ~ hskp27
    | epred20_0
    | epred43_0 ),
    inference(spm,[status(thm)],[c_0_191,c_0_192]) ).

cnf(c_0_249,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a267)
    | epred40_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_18]),c_0_194]) ).

cnf(c_0_250,negated_conjecture,
    ( ~ hskp7
    | epred12_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_195,c_0_156]) ).

cnf(c_0_251,negated_conjecture,
    ( ~ hskp8
    | hskp2
    | epred1_0
    | epred40_0 ),
    inference(spm,[status(thm)],[c_0_78,c_0_159]) ).

cnf(c_0_252,negated_conjecture,
    ( ~ hskp1
    | epred35_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_114]),c_0_115]),c_0_116]) ).

cnf(c_0_253,negated_conjecture,
    ( ~ c1_1(a311)
    | ~ hskp22
    | epred20_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_170]),c_0_162]) ).

cnf(c_0_254,negated_conjecture,
    ( ~ hskp22
    | epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_130]),c_0_162]),c_0_170]) ).

cnf(c_0_255,negated_conjecture,
    ( ~ hskp0
    | epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_34]),c_0_196]),c_0_194]) ).

cnf(c_0_256,negated_conjecture,
    ( ~ hskp9
    | epred2_0
    | epred21_0 ),
    inference(spm,[status(thm)],[c_0_92,c_0_197]) ).

cnf(c_0_257,negated_conjecture,
    ( ~ hskp4
    | hskp2
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_93]),c_0_199]),c_0_200]) ).

cnf(c_0_258,negated_conjecture,
    ( ~ epred49_0
    | ~ epred50_0
    | ~ epred51_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_201,c_0_52]),c_0_27]),c_0_123]) ).

cnf(c_0_259,negated_conjecture,
    ( ~ epred12_0
    | ~ epred42_0
    | ~ epred43_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_202,c_0_102]),c_0_80]),c_0_41]) ).

cnf(c_0_260,negated_conjecture,
    ( ~ epred10_0
    | ~ epred39_0
    | ~ epred40_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_203,c_0_31]),c_0_15]),c_0_12]) ).

cnf(c_0_261,negated_conjecture,
    ( ~ epred34_0
    | ~ epred37_0
    | ~ epred38_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_204,c_0_103]),c_0_10]),c_0_30]) ).

cnf(c_0_262,negated_conjecture,
    ( ~ epred34_0
    | ~ epred35_0
    | ~ epred36_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_205,c_0_103]),c_0_56]),c_0_26]) ).

cnf(c_0_263,negated_conjecture,
    ( ~ epred20_0
    | ~ epred30_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_206,c_0_94]),c_0_77]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ epred28_0
    | ~ epred29_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_207,c_0_97]),c_0_29]) ).

cnf(c_0_265,negated_conjecture,
    ( ~ epred21_0
    | ~ epred22_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_208,c_0_8]),c_0_81]),c_0_23]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ epred19_0
    | ~ epred20_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_209,c_0_22]),c_0_77]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ epred14_0
    | ~ epred15_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_210,c_0_110]),c_0_11]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ epred10_0
    | ~ epred13_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_211,c_0_21]),c_0_15]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ epred9_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_212,c_0_28]),c_0_15]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ epred5_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_213,c_0_24]),c_0_64]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ epred1_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_214,c_0_55]),c_0_25]) ).

cnf(c_0_272,negated_conjecture,
    ( hskp26
    | hskp1
    | hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_273,plain,
    $false,
    inference(cdclpropres,[status(thm)],[c_0_215,c_0_216,c_0_217,c_0_218,c_0_219,c_0_220,c_0_221,c_0_222,c_0_223,c_0_224,c_0_225,c_0_226,c_0_227,c_0_228,c_0_229,c_0_230,c_0_231,c_0_232,c_0_233,c_0_234,c_0_235,c_0_236,c_0_237,c_0_238,c_0_239,c_0_240,c_0_241,c_0_181,c_0_242,c_0_243,c_0_183,c_0_244,c_0_245,c_0_246,c_0_247,c_0_248,c_0_249,c_0_250,c_0_251,c_0_78,c_0_171,c_0_252,c_0_253,c_0_254,c_0_255,c_0_256,c_0_257,c_0_165,c_0_258,c_0_259,c_0_260,c_0_261,c_0_262,c_0_263,c_0_264,c_0_265,c_0_266,c_0_267,c_0_268,c_0_269,c_0_270,c_0_271,c_0_169,c_0_168,c_0_164,c_0_72,c_0_71,c_0_44,c_0_39,c_0_54,c_0_95,c_0_177,c_0_116,c_0_193,c_0_96,c_0_51,c_0_162,c_0_131,c_0_176,c_0_196,c_0_272]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN462+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n005.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 10:59:02 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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/benchmark/theBenchmark.p
% 10.42/1.96  % Version: 3.5.1
% 10.42/1.96  % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.42/1.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.42/1.96  % Starting new_bool_3 with 300s (1) cores
% 10.42/1.96  % Starting new_bool_1 with 300s (1) cores
% 10.42/1.96  % Starting sh5l with 300s (1) cores
% 10.42/1.96  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 3297403 completed with status 0
% 10.42/1.96  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 10.42/1.96  % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.42/1.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.42/1.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.42/1.96  % No SInE strategy applied
% 10.42/1.96  % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.42/1.96  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.42/1.96  % Starting SubtermCWHack with 151s (1) cores
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 10.42/1.96  % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 151s (1) cores
% 10.42/1.96  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 146s (1) cores
% 10.42/1.96  % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with pid 3297433 completed with status 0
% 10.42/1.96  % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y
% 10.42/1.96  % Preprocessing class: FSLSSLSMSSSNFFN.
% 10.42/1.96  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 10.42/1.96  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 10.42/1.96  % No SInE strategy applied
% 10.42/1.96  % Search class: FGHNF-FSMM00-SFFFFFNN
% 10.42/1.96  % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 10.42/1.96  % Starting SubtermCWHack with 151s (1) cores
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 901s (1) cores
% 10.42/1.96  % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 151s (1) cores
% 10.42/1.96  % Preprocessing time       : 0.001 s
% 10.42/1.96  % SatCheck found unsatisfiable ground set
% 10.42/1.96  
% 10.42/1.96  % Proof found!
% 10.42/1.96  % SZS status Theorem
% 10.42/1.96  % SZS output start CNFRefutation
% See solution above
% 10.42/1.97  % Parsed axioms                        : 1
% 10.42/1.97  % Removed by relevancy pruning/SinE    : 0
% 10.42/1.97  % Initial clauses                      : 184
% 10.42/1.97  % Removed in clause preprocessing      : 0
% 10.42/1.97  % Initial clauses in saturation        : 184
% 10.42/1.97  % Processed clauses                    : 7649
% 10.42/1.97  % ...of these trivial                  : 0
% 10.42/1.97  % ...subsumed                          : 2649
% 10.42/1.97  % ...remaining for further processing  : 5000
% 10.42/1.97  % Other redundant clauses eliminated   : 0
% 10.42/1.97  % Clauses deleted for lack of memory   : 0
% 10.42/1.97  % Backward-subsumed                    : 1791
% 10.42/1.97  % Backward-rewritten                   : 53
% 10.42/1.97  % Generated clauses                    : 61838
% 10.42/1.97  % ...of the previous two non-redundant : 57603
% 10.42/1.97  % ...aggressively subsumed             : 0
% 10.42/1.97  % Contextual simplify-reflections      : 612
% 10.42/1.97  % Paramodulations                      : 61759
% 10.42/1.97  % Factorizations                       : 0
% 10.42/1.97  % NegExts                              : 0
% 10.42/1.97  % Equation resolutions                 : 0
% 10.42/1.97  % Disequality decompositions           : 0
% 10.42/1.97  % Total rewrite steps                  : 80
% 10.42/1.97  % ...of those cached                   : 79
% 10.42/1.97  % Propositional unsat checks           : 1
% 10.42/1.97  %    Propositional check models        : 0
% 10.42/1.97  %    Propositional check unsatisfiable : 1
% 10.42/1.97  %    Propositional clauses             : 52212
% 10.42/1.97  %    Propositional clauses after purity: 51579
% 10.42/1.97  %    Propositional unsat core size     : 81
% 10.42/1.97  %    Propositional preprocessing time  : 0.000
% 10.42/1.97  %    Propositional encoding time       : 0.023
% 10.42/1.97  %    Propositional solver time         : 0.058
% 10.42/1.97  %    Success case prop preproc time    : 0.000
% 10.42/1.97  %    Success case prop encoding time   : 0.023
% 10.42/1.97  %    Success case prop solver time     : 0.058
% 10.42/1.97  % Current number of processed clauses  : 3128
% 10.42/1.97  %    Positive orientable unit clauses  : 1
% 10.42/1.97  %    Positive unorientable unit clauses: 0
% 10.42/1.97  %    Negative unit clauses             : 0
% 10.42/1.97  %    Non-unit-clauses                  : 3127
% 10.42/1.97  % Current number of unprocessed clauses: 49084
% 10.42/1.97  % ...number of literals in the above   : 329264
% 10.42/1.97  % Current number of archived formulas  : 0
% 10.42/1.97  % Current number of archived clauses   : 1844
% 10.42/1.97  % Clause-clause subsumption calls (NU) : 3344013
% 10.42/1.97  % Rec. Clause-clause subsumption calls : 216671
% 10.42/1.97  % Non-unit clause-clause subsumptions  : 5080
% 10.42/1.97  % Unit Clause-clause subsumption calls : 2
% 10.42/1.97  % Rewrite failures with RHS unbound    : 0
% 10.42/1.97  % BW rewrite match attempts            : 1
% 10.42/1.97  % BW rewrite match successes           : 1
% 10.42/1.97  % Condensation attempts                : 7649
% 10.42/1.97  % Condensation successes               : 0
% 10.42/1.97  % Termbank termtop insertions          : 601637
% 10.42/1.97  % Search garbage collected termcells   : 1661
% 10.42/1.97  
% 10.42/1.97  % -------------------------------------------------
% 10.42/1.97  % User time                : 1.461 s
% 10.42/1.97  % System time              : 0.052 s
% 10.42/1.97  % Total time               : 1.513 s
% 10.42/1.97  % Maximum resident set size: 4392 pages
% 10.42/1.97  
% 10.42/1.97  % -------------------------------------------------
% 10.42/1.97  % User time                : 5.893 s
% 10.42/1.97  % System time              : 0.155 s
% 10.42/1.97  % Total time               : 6.048 s
% 10.42/1.97  % Maximum resident set size: 5120 pages
% 10.42/1.97  % E exiting
%------------------------------------------------------------------------------