TSTP Solution File: SYN445+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN445+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 13:32:54 EST 2010

% Result   : Theorem 7.59s
% Output   : CNFRefutation 7.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  101
%            Number of leaves      :    1
% Syntax   : Number of formulae    :  887 (  31 unt;   0 def)
%            Number of atoms       : 8206 (   0 equ)
%            Maximal formula atoms :  696 (   9 avg)
%            Number of connectives : 11024 (3705   ~;5784   |;1253   &)
%                                         (   0 <=>; 282  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  276 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   36 (  35 usr;  32 prp; 0-1 aty)
%            Number of functors    :   30 (  30 usr;  30 con; 0-0 aty)
%            Number of variables   : 1052 (   0 sgn 658   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a294)
          & ~ c2_1(a294)
          & ~ c3_1(a294) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a295)
          & c2_1(a295)
          & ~ c1_1(a295) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a297)
          & ~ c0_1(a297)
          & ~ c3_1(a297) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a299)
          & c3_1(a299)
          & ~ c2_1(a299) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a300)
          & ~ c1_1(a300)
          & ~ c2_1(a300) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a301)
          & ~ c1_1(a301)
          & ~ c3_1(a301) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a302)
          & ~ c1_1(a302)
          & ~ c2_1(a302) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a303)
          & c1_1(a303)
          & ~ c2_1(a303) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a305)
          & ~ c0_1(a305)
          & ~ c1_1(a305) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a307)
          & ~ c1_1(a307)
          & ~ c3_1(a307) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a308)
          & c3_1(a308)
          & ~ c0_1(a308) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a309)
          & c3_1(a309)
          & ~ c2_1(a309) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a310)
          & ~ c0_1(a310)
          & ~ c2_1(a310) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a313)
          & c3_1(a313)
          & ~ c1_1(a313) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a315)
          & c2_1(a315)
          & ~ c0_1(a315) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a320)
          & ~ c0_1(a320)
          & ~ c2_1(a320) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a321)
          & c3_1(a321)
          & ~ c1_1(a321) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a323)
          & c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a329)
          & ~ c0_1(a329)
          & ~ c3_1(a329) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a330)
          & c2_1(a330)
          & ~ c3_1(a330) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a333)
          & ~ c2_1(a333)
          & ~ c3_1(a333) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a336)
          & ~ c0_1(a336)
          & ~ c1_1(a336) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a338)
          & ~ c2_1(a338)
          & ~ c3_1(a338) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a341)
          & c3_1(a341)
          & ~ c0_1(a341) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a342)
          & ~ c1_1(a342)
          & ~ c2_1(a342) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a346)
          & ~ c1_1(a346)
          & ~ c3_1(a346) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a349)
          & ~ c2_1(a349)
          & ~ c3_1(a349) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a334)
          & c2_1(a334)
          & c3_1(a334) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a353)
          & c2_1(a353)
          & c3_1(a353) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a354)
          & c1_1(a354)
          & c2_1(a354) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c2_1(X2)
              | c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | ~ c1_1(X3)
              | ~ c2_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | c2_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c1_1(X6)
              | ~ c3_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c0_1(X9)
              | ~ c1_1(X9)
              | ~ c3_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | ~ c0_1(X11)
              | ~ c1_1(X11) ) )
        | hskp0 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | ~ c2_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | ~ c0_1(X17)
              | ~ c2_1(X17) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c1_1(X18)
              | ~ c2_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | ~ c1_1(X20)
              | ~ c2_1(X20) ) ) )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | ~ c2_1(X22)
              | ~ c3_1(X22) ) )
        | hskp1 )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | ~ c1_1(X24)
              | ~ c3_1(X24) ) )
        | hskp0 )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | hskp2
        | hskp0 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c1_1(X28)
              | ~ c2_1(X28)
              | ~ c3_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c3_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | ~ c1_1(X31)
              | ~ c3_1(X31) ) ) )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c3_1(X33)
              | ~ c1_1(X33) ) )
        | hskp3 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | ~ c0_1(X35)
              | ~ c2_1(X35) ) )
        | hskp4 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( c1_1(X37)
              | ~ c0_1(X37)
              | ~ c3_1(X37) ) )
        | hskp5 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c3_1(X39)
              | ~ c0_1(X39)
              | ~ c1_1(X39) ) )
        | hskp6 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c1_1(X40) ) )
        | hskp7
        | hskp4 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c1_1(X41) ) )
        | hskp8
        | hskp5 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | ~ c0_1(X43)
              | ~ c2_1(X43) ) )
        | hskp9 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c2_1(X44)
              | ~ c3_1(X44) ) )
        | hskp10
        | hskp11 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | c3_1(X45)
              | ~ c1_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c1_1(X46)
              | ~ c3_1(X46) ) )
        | hskp12 )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp8 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | ~ c1_1(X49)
              | ~ c2_1(X49) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c2_1(X50)
              | c3_1(X50)
              | ~ c0_1(X50) ) )
        | hskp12 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | ~ c0_1(X52)
              | ~ c1_1(X52) ) )
        | hskp13 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | ~ c2_1(X53)
              | ~ c3_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c2_1(X54)
              | c3_1(X54)
              | ~ c1_1(X54) ) )
        | hskp3 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | ~ c2_1(X55)
              | ~ c3_1(X55) ) )
        | hskp14
        | hskp0 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c2_1(X56)
              | ~ c0_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp14 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c1_1(X58)
              | c2_1(X58)
              | ~ c3_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c2_1(X59)
              | ~ c0_1(X59)
              | ~ c1_1(X59) ) )
        | hskp7 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | c2_1(X60)
              | ~ c3_1(X60) ) )
        | hskp6
        | hskp15 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c1_1(X61)
              | c2_1(X61)
              | ~ c3_1(X61) ) )
        | hskp16 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c3_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | c3_1(X63)
              | ~ c2_1(X63) ) )
        | hskp13 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c3_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c2_1(X65)
              | c3_1(X65)
              | ~ c1_1(X65) ) )
        | hskp17 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c3_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c2_1(X67)
              | c3_1(X67)
              | ~ c1_1(X67) ) )
        | hskp5 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c3_1(X68)
              | ~ c2_1(X68) ) )
        | hskp11
        | hskp16 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | ~ c0_1(X69)
              | ~ c2_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | ~ c0_1(X70)
              | ~ c3_1(X70) ) )
        | hskp4 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c2_1(X71) ) )
        | hskp17
        | hskp18 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp19
        | hskp12 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c0_1(X73)
              | ~ c2_1(X73) ) )
        | hskp11
        | hskp20 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | hskp27
        | hskp3 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) )
        | hskp21 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | c3_1(X76)
              | ~ c1_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( c2_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c1_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c2_1(X79)
              | c3_1(X79)
              | ~ c1_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | ~ c1_1(X80)
              | ~ c3_1(X80) ) )
        | hskp17 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | c3_1(X81)
              | ~ c1_1(X81) ) )
        | hskp22 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | ~ c1_1(X82)
              | ~ c3_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c0_1(X83)
              | ~ c2_1(X83)
              | ~ c3_1(X83) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c0_1(X84)
              | ~ c1_1(X84) ) )
        | hskp17
        | hskp4 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | ~ c0_1(X85)
              | ~ c1_1(X85) ) )
        | hskp23
        | hskp24 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | ~ c2_1(X87)
              | ~ c3_1(X87) ) )
        | hskp11 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c1_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp4 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c3_1(X90)
              | ~ c1_1(X90)
              | ~ c2_1(X90) ) )
        | hskp15
        | hskp25 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | hskp6
        | hskp8 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c1_1(X92)
              | ~ c2_1(X92) ) )
        | hskp26
        | hskp23 )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c1_1(X93)
              | ~ c3_1(X93) ) )
        | hskp17
        | hskp21 )
      & ( ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp28 )
      & ( hskp29
        | hskp27
        | hskp10 )
      & ( hskp7
        | hskp1
        | hskp10 )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( hskp26
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp16 )
      & ( hskp20
        | hskp12
        | hskp25 ) ),
    file('/tmp/tmpWOPInY/sel_SYN445+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a294)
            & ~ c2_1(a294)
            & ~ c3_1(a294) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a295)
            & c2_1(a295)
            & ~ c1_1(a295) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a297)
            & ~ c0_1(a297)
            & ~ c3_1(a297) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a299)
            & c3_1(a299)
            & ~ c2_1(a299) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a300)
            & ~ c1_1(a300)
            & ~ c2_1(a300) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a301)
            & ~ c1_1(a301)
            & ~ c3_1(a301) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a302)
            & ~ c1_1(a302)
            & ~ c2_1(a302) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a303)
            & c1_1(a303)
            & ~ c2_1(a303) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a305)
            & ~ c0_1(a305)
            & ~ c1_1(a305) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a307)
            & ~ c1_1(a307)
            & ~ c3_1(a307) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a308)
            & c3_1(a308)
            & ~ c0_1(a308) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a309)
            & c3_1(a309)
            & ~ c2_1(a309) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a310)
            & ~ c0_1(a310)
            & ~ c2_1(a310) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a313)
            & c3_1(a313)
            & ~ c1_1(a313) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a315)
            & c2_1(a315)
            & ~ c0_1(a315) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a320)
            & ~ c0_1(a320)
            & ~ c2_1(a320) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a321)
            & c3_1(a321)
            & ~ c1_1(a321) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a323)
            & c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a329)
            & ~ c0_1(a329)
            & ~ c3_1(a329) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a330)
            & c2_1(a330)
            & ~ c3_1(a330) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a333)
            & ~ c2_1(a333)
            & ~ c3_1(a333) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a336)
            & ~ c0_1(a336)
            & ~ c1_1(a336) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a338)
            & ~ c2_1(a338)
            & ~ c3_1(a338) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a341)
            & c3_1(a341)
            & ~ c0_1(a341) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a342)
            & ~ c1_1(a342)
            & ~ c2_1(a342) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a346)
            & ~ c1_1(a346)
            & ~ c3_1(a346) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a349)
            & ~ c2_1(a349)
            & ~ c3_1(a349) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a334)
            & c2_1(a334)
            & c3_1(a334) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a353)
            & c2_1(a353)
            & c3_1(a353) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a354)
            & c1_1(a354)
            & c2_1(a354) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c1_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c2_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | hskp0 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c0_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c1_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp1 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp0 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp2
          | hskp0 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | ~ c3_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) )
          | hskp3 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c0_1(X35)
                | ~ c2_1(X35) ) )
          | hskp4 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c0_1(X37)
                | ~ c3_1(X37) ) )
          | hskp5 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) )
          | hskp6 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp7
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp8
          | hskp5 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c2_1(X43) ) )
          | hskp9 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp10
          | hskp11 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp8 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp12 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | hskp3 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp14
          | hskp0 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp7 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp6
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | hskp13 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c3_1(X65)
                | ~ c1_1(X65) ) )
          | hskp17 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | hskp5 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c3_1(X68)
                | ~ c2_1(X68) ) )
          | hskp11
          | hskp16 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c3_1(X70) ) )
          | hskp4 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | hskp17
          | hskp18 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp19
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp11
          | hskp20 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp27
          | hskp3 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp21 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c3_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c3_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | ~ c3_1(X80) ) )
          | hskp17 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) )
          | hskp22 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp17
          | hskp4 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp23
          | hskp24 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp11 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp4 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp15
          | hskp25 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp6
          | hskp8 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) )
          | hskp26
          | hskp23 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | hskp17
          | hskp21 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp28 )
        & ( hskp29
          | hskp27
          | hskp10 )
        & ( hskp7
          | hskp1
          | hskp10 )
        & ( hskp17
          | hskp5
          | hskp24 )
        & ( hskp6
          | hskp15
          | hskp23 )
        & ( hskp26
          | hskp11
          | hskp12 )
        & ( hskp26
          | hskp16 )
        & ( hskp20
          | hskp12
          | hskp25 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & ~ c0_1(a294)
            & ~ c2_1(a294)
            & ~ c3_1(a294) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a295)
            & c2_1(a295)
            & ~ c1_1(a295) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a297)
            & ~ c0_1(a297)
            & ~ c3_1(a297) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a299)
            & c3_1(a299)
            & ~ c2_1(a299) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c0_1(a300)
            & ~ c1_1(a300)
            & ~ c2_1(a300) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a301)
            & ~ c1_1(a301)
            & ~ c3_1(a301) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a302)
            & ~ c1_1(a302)
            & ~ c2_1(a302) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a303)
            & c1_1(a303)
            & ~ c2_1(a303) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a305)
            & ~ c0_1(a305)
            & ~ c1_1(a305) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a307)
            & ~ c1_1(a307)
            & ~ c3_1(a307) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a308)
            & c3_1(a308)
            & ~ c0_1(a308) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c1_1(a309)
            & c3_1(a309)
            & ~ c2_1(a309) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c3_1(a310)
            & ~ c0_1(a310)
            & ~ c2_1(a310) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a313)
            & c3_1(a313)
            & ~ c1_1(a313) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c1_1(a315)
            & c2_1(a315)
            & ~ c0_1(a315) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a320)
            & ~ c0_1(a320)
            & ~ c2_1(a320) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a321)
            & c3_1(a321)
            & ~ c1_1(a321) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a323)
            & c2_1(a323)
            & ~ c3_1(a323) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c2_1(a329)
            & ~ c0_1(a329)
            & ~ c3_1(a329) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a330)
            & c2_1(a330)
            & ~ c3_1(a330) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a333)
            & ~ c2_1(a333)
            & ~ c3_1(a333) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a336)
            & ~ c0_1(a336)
            & ~ c1_1(a336) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c1_1(a338)
            & ~ c2_1(a338)
            & ~ c3_1(a338) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c2_1(a341)
            & c3_1(a341)
            & ~ c0_1(a341) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a342)
            & ~ c1_1(a342)
            & ~ c2_1(a342) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & ~ c0_1(a346)
            & ~ c1_1(a346)
            & ~ c3_1(a346) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c0_1(a349)
            & ~ c2_1(a349)
            & ~ c3_1(a349) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a334)
            & c2_1(a334)
            & c3_1(a334) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a353)
            & c2_1(a353)
            & c3_1(a353) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a354)
            & c1_1(a354)
            & c2_1(a354) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c2_1(X2)
                | c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | ~ c1_1(X3)
                | ~ c2_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | c2_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c0_1(X9)
                | ~ c1_1(X9)
                | ~ c3_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | ~ c0_1(X11)
                | ~ c1_1(X11) ) )
          | hskp0 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | ~ c2_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | ~ c0_1(X17)
                | ~ c2_1(X17) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c1_1(X18)
                | ~ c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c1_1(X20)
                | ~ c2_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | ~ c2_1(X22)
                | ~ c3_1(X22) ) )
          | hskp1 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | ~ c1_1(X24)
                | ~ c3_1(X24) ) )
          | hskp0 )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | hskp2
          | hskp0 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c1_1(X28)
                | ~ c2_1(X28)
                | ~ c3_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c3_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | ~ c1_1(X31)
                | ~ c3_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c3_1(X33)
                | ~ c1_1(X33) ) )
          | hskp3 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c0_1(X35)
                | ~ c2_1(X35) ) )
          | hskp4 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c1_1(X37)
                | ~ c0_1(X37)
                | ~ c3_1(X37) ) )
          | hskp5 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | ~ c0_1(X39)
                | ~ c1_1(X39) ) )
          | hskp6 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c1_1(X40) ) )
          | hskp7
          | hskp4 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c1_1(X41) ) )
          | hskp8
          | hskp5 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | ~ c0_1(X43)
                | ~ c2_1(X43) ) )
          | hskp9 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c2_1(X44)
                | ~ c3_1(X44) ) )
          | hskp10
          | hskp11 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | c3_1(X45)
                | ~ c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c1_1(X46)
                | ~ c3_1(X46) ) )
          | hskp12 )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp8 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | ~ c1_1(X49)
                | ~ c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | c3_1(X50)
                | ~ c0_1(X50) ) )
          | hskp12 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | ~ c0_1(X52)
                | ~ c1_1(X52) ) )
          | hskp13 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | ~ c2_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c2_1(X54)
                | c3_1(X54)
                | ~ c1_1(X54) ) )
          | hskp3 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | ~ c2_1(X55)
                | ~ c3_1(X55) ) )
          | hskp14
          | hskp0 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c2_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp14 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c1_1(X58)
                | c2_1(X58)
                | ~ c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c2_1(X59)
                | ~ c0_1(X59)
                | ~ c1_1(X59) ) )
          | hskp7 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | c2_1(X60)
                | ~ c3_1(X60) ) )
          | hskp6
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c1_1(X61)
                | c2_1(X61)
                | ~ c3_1(X61) ) )
          | hskp16 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c3_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | c3_1(X63)
                | ~ c2_1(X63) ) )
          | hskp13 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c3_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | c3_1(X65)
                | ~ c1_1(X65) ) )
          | hskp17 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c2_1(X67)
                | c3_1(X67)
                | ~ c1_1(X67) ) )
          | hskp5 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c3_1(X68)
                | ~ c2_1(X68) ) )
          | hskp11
          | hskp16 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | ~ c0_1(X69)
                | ~ c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | ~ c0_1(X70)
                | ~ c3_1(X70) ) )
          | hskp4 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c2_1(X71) ) )
          | hskp17
          | hskp18 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp19
          | hskp12 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c0_1(X73)
                | ~ c2_1(X73) ) )
          | hskp11
          | hskp20 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | hskp27
          | hskp3 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) )
          | hskp21 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | c3_1(X76)
                | ~ c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c1_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c2_1(X79)
                | c3_1(X79)
                | ~ c1_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | ~ c1_1(X80)
                | ~ c3_1(X80) ) )
          | hskp17 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c3_1(X81)
                | ~ c1_1(X81) ) )
          | hskp22 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | ~ c1_1(X82)
                | ~ c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c0_1(X83)
                | ~ c2_1(X83)
                | ~ c3_1(X83) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c0_1(X84)
                | ~ c1_1(X84) ) )
          | hskp17
          | hskp4 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | ~ c0_1(X85)
                | ~ c1_1(X85) ) )
          | hskp23
          | hskp24 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | hskp11 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp4 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | ~ c1_1(X90)
                | ~ c2_1(X90) ) )
          | hskp15
          | hskp25 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp6
          | hskp8 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) )
          | hskp26
          | hskp23 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | hskp17
          | hskp21 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp28 )
        & ( hskp29
          | hskp27
          | hskp10 )
        & ( hskp7
          | hskp1
          | hskp10 )
        & ( hskp17
          | hskp5
          | hskp24 )
        & ( hskp6
          | hskp15
          | hskp23 )
        & ( hskp26
          | hskp11
          | hskp12 )
        & ( hskp26
          | hskp16 )
        & ( hskp20
          | hskp12
          | hskp25 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a294)
        & ~ c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a295)
        & c2_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a297)
        & ~ c0_1(a297)
        & ~ c3_1(a297) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ~ c2_1(a300) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a301)
        & ~ c1_1(a301)
        & ~ c3_1(a301) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a302)
        & ~ c1_1(a302)
        & ~ c2_1(a302) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a303)
        & c1_1(a303)
        & ~ c2_1(a303) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a305)
        & ~ c0_1(a305)
        & ~ c1_1(a305) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a308)
        & c3_1(a308)
        & ~ c0_1(a308) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a309)
        & c3_1(a309)
        & ~ c2_1(a309) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a310)
        & ~ c0_1(a310)
        & ~ c2_1(a310) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a315)
        & c2_1(a315)
        & ~ c0_1(a315) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a320)
        & ~ c0_1(a320)
        & ~ c2_1(a320) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a321)
        & c3_1(a321)
        & ~ c1_1(a321) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a323)
        & c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a329)
        & ~ c0_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a330)
        & c2_1(a330)
        & ~ c3_1(a330) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a333)
        & ~ c2_1(a333)
        & ~ c3_1(a333) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a336)
        & ~ c0_1(a336)
        & ~ c1_1(a336) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a338)
        & ~ c2_1(a338)
        & ~ c3_1(a338) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a341)
        & c3_1(a341)
        & ~ c0_1(a341) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342)
        & ~ c2_1(a342) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a346)
        & ~ c1_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a349)
        & ~ c2_1(a349)
        & ~ c3_1(a349) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a334)
        & c2_1(a334)
        & c3_1(a334) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & c3_1(a353) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a354)
        & c1_1(a354)
        & c2_1(a354) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c0_1(X2)
          | c2_1(X2)
          | c3_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | c0_1(X3)
          | ~ c1_1(X3)
          | ~ c2_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c2_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c1_1(X5)
          | c2_1(X5)
          | c3_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | ~ c1_1(X6)
          | ~ c3_1(X6) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | c2_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ c3_1(X9) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | c1_1(X10)
          | c2_1(X10) )
      | ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | ~ c0_1(X11)
          | ~ c1_1(X11) )
      | hskp0 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | c0_1(X12)
          | c1_1(X12)
          | c3_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | c2_1(X13)
          | c3_1(X13) )
      | ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | ~ c2_1(X14)
          | ~ c3_1(X14) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | c1_1(X15)
          | c3_1(X15) )
      | ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c2_1(X16)
          | ~ c1_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | c3_1(X17)
          | ~ c0_1(X17)
          | ~ c2_1(X17) ) )
    & ( ! [X18] :
          ( ~ ndr1_0
          | c0_1(X18)
          | c1_1(X18)
          | ~ c2_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c3_1(X20)
          | ~ c1_1(X20)
          | ~ c2_1(X20) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | ~ c2_1(X22)
          | ~ c3_1(X22) )
      | hskp1 )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23) )
      | ! [X24] :
          ( ~ ndr1_0
          | c2_1(X24)
          | ~ c1_1(X24)
          | ~ c3_1(X24) )
      | hskp0 )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25) )
      | hskp2
      | hskp0 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c2_1(X26)
          | c3_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | c0_1(X27)
          | c2_1(X27)
          | ~ c1_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c1_1(X28)
          | ~ c2_1(X28)
          | ~ c3_1(X28) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | c0_1(X30)
          | c3_1(X30)
          | ~ c1_1(X30) )
      | ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31) ) )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c3_1(X33)
          | ~ c1_1(X33) )
      | hskp3 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | c1_1(X35)
          | ~ c0_1(X35)
          | ~ c2_1(X35) )
      | hskp4 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36) )
      | ! [X37] :
          ( ~ ndr1_0
          | c1_1(X37)
          | ~ c0_1(X37)
          | ~ c3_1(X37) )
      | hskp5 )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38)
          | ~ c1_1(X38) )
      | ! [X39] :
          ( ~ ndr1_0
          | c3_1(X39)
          | ~ c0_1(X39)
          | ~ c1_1(X39) )
      | hskp6 )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | c2_1(X40)
          | ~ c1_1(X40) )
      | hskp7
      | hskp4 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41)
          | ~ c1_1(X41) )
      | hskp8
      | hskp5 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | c3_1(X43)
          | ~ c0_1(X43)
          | ~ c2_1(X43) )
      | hskp9 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c2_1(X44)
          | ~ c3_1(X44) )
      | hskp10
      | hskp11 )
    & ( ! [X45] :
          ( ~ ndr1_0
          | c0_1(X45)
          | c3_1(X45)
          | ~ c1_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ c3_1(X46) )
      | hskp12 )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | c3_1(X48)
          | ~ c1_1(X48)
          | ~ c2_1(X48) )
      | hskp8 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | ~ c1_1(X49)
          | ~ c2_1(X49) )
      | ! [X50] :
          ( ~ ndr1_0
          | c2_1(X50)
          | c3_1(X50)
          | ~ c0_1(X50) )
      | hskp12 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c3_1(X52)
          | ~ c0_1(X52)
          | ~ c1_1(X52) )
      | hskp13 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | ~ c2_1(X53)
          | ~ c3_1(X53) )
      | ! [X54] :
          ( ~ ndr1_0
          | c2_1(X54)
          | c3_1(X54)
          | ~ c1_1(X54) )
      | hskp3 )
    & ( ! [X55] :
          ( ~ ndr1_0
          | c0_1(X55)
          | ~ c2_1(X55)
          | ~ c3_1(X55) )
      | hskp14
      | hskp0 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c1_1(X56)
          | c2_1(X56)
          | ~ c0_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c2_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57) )
      | hskp14 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c1_1(X58)
          | c2_1(X58)
          | ~ c3_1(X58) )
      | ! [X59] :
          ( ~ ndr1_0
          | c2_1(X59)
          | ~ c0_1(X59)
          | ~ c1_1(X59) )
      | hskp7 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c1_1(X60)
          | c2_1(X60)
          | ~ c3_1(X60) )
      | hskp6
      | hskp15 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c1_1(X61)
          | c2_1(X61)
          | ~ c3_1(X61) )
      | hskp16 )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | c3_1(X62)
          | ~ c0_1(X62) )
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | c3_1(X63)
          | ~ c2_1(X63) )
      | hskp13 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c1_1(X64)
          | c3_1(X64)
          | ~ c0_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c2_1(X65)
          | c3_1(X65)
          | ~ c1_1(X65) )
      | hskp17 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c1_1(X66)
          | c3_1(X66)
          | ~ c2_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c2_1(X67)
          | c3_1(X67)
          | ~ c1_1(X67) )
      | hskp5 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | c3_1(X68)
          | ~ c2_1(X68) )
      | hskp11
      | hskp16 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c1_1(X69)
          | ~ c0_1(X69)
          | ~ c2_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | c1_1(X70)
          | ~ c0_1(X70)
          | ~ c3_1(X70) )
      | hskp4 )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | ~ c0_1(X71)
          | ~ c2_1(X71) )
      | hskp17
      | hskp18 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72) )
      | hskp19
      | hskp12 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c1_1(X73)
          | ~ c0_1(X73)
          | ~ c2_1(X73) )
      | hskp11
      | hskp20 )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74) )
      | hskp27
      | hskp3 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75) )
      | hskp21 )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c2_1(X76)
          | c3_1(X76)
          | ~ c1_1(X76) )
      | ! [X77] :
          ( ~ ndr1_0
          | c2_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | ~ c1_1(X78)
          | ~ c3_1(X78) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c2_1(X79)
          | c3_1(X79)
          | ~ c1_1(X79) )
      | ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | ~ c1_1(X80)
          | ~ c3_1(X80) )
      | hskp17 )
    & ( ! [X81] :
          ( ~ ndr1_0
          | c2_1(X81)
          | c3_1(X81)
          | ~ c1_1(X81) )
      | hskp22 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c2_1(X82)
          | ~ c1_1(X82)
          | ~ c3_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | ~ c0_1(X83)
          | ~ c2_1(X83)
          | ~ c3_1(X83) ) )
    & ( ! [X84] :
          ( ~ ndr1_0
          | c3_1(X84)
          | ~ c0_1(X84)
          | ~ c1_1(X84) )
      | hskp17
      | hskp4 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c3_1(X85)
          | ~ c0_1(X85)
          | ~ c1_1(X85) )
      | hskp23
      | hskp24 )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c3_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86) )
      | ! [X87] :
          ( ~ ndr1_0
          | ~ c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87) )
      | hskp11 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | ~ c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89) )
      | hskp4 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c3_1(X90)
          | ~ c1_1(X90)
          | ~ c2_1(X90) )
      | hskp15
      | hskp25 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91) )
      | hskp6
      | hskp8 )
    & ( ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92) )
      | hskp26
      | hskp23 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93) )
      | hskp17
      | hskp21 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94) )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & ~ c0_1(a294)
        & ~ c2_1(a294)
        & ~ c3_1(a294) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a295)
        & c2_1(a295)
        & ~ c1_1(a295) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a297)
        & ~ c0_1(a297)
        & ~ c3_1(a297) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a299)
        & c3_1(a299)
        & ~ c2_1(a299) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & ~ c0_1(a300)
        & ~ c1_1(a300)
        & ~ c2_1(a300) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a301)
        & ~ c1_1(a301)
        & ~ c3_1(a301) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a302)
        & ~ c1_1(a302)
        & ~ c2_1(a302) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a303)
        & c1_1(a303)
        & ~ c2_1(a303) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a305)
        & ~ c0_1(a305)
        & ~ c1_1(a305) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a307)
        & ~ c1_1(a307)
        & ~ c3_1(a307) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a308)
        & c3_1(a308)
        & ~ c0_1(a308) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c1_1(a309)
        & c3_1(a309)
        & ~ c2_1(a309) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c3_1(a310)
        & ~ c0_1(a310)
        & ~ c2_1(a310) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a313)
        & c3_1(a313)
        & ~ c1_1(a313) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c1_1(a315)
        & c2_1(a315)
        & ~ c0_1(a315) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a320)
        & ~ c0_1(a320)
        & ~ c2_1(a320) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a321)
        & c3_1(a321)
        & ~ c1_1(a321) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a323)
        & c2_1(a323)
        & ~ c3_1(a323) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c2_1(a329)
        & ~ c0_1(a329)
        & ~ c3_1(a329) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a330)
        & c2_1(a330)
        & ~ c3_1(a330) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a333)
        & ~ c2_1(a333)
        & ~ c3_1(a333) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c3_1(a336)
        & ~ c0_1(a336)
        & ~ c1_1(a336) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c1_1(a338)
        & ~ c2_1(a338)
        & ~ c3_1(a338) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c2_1(a341)
        & c3_1(a341)
        & ~ c0_1(a341) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a342)
        & ~ c1_1(a342)
        & ~ c2_1(a342) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & ~ c0_1(a346)
        & ~ c1_1(a346)
        & ~ c3_1(a346) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c0_1(a349)
        & ~ c2_1(a349)
        & ~ c3_1(a349) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a334)
        & c2_1(a334)
        & c3_1(a334) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a353)
        & c2_1(a353)
        & c3_1(a353) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a354)
        & c1_1(a354)
        & c2_1(a354) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c0_1(X95)
          | c1_1(X95)
          | c2_1(X95) )
      | ! [X96] :
          ( ~ ndr1_0
          | c0_1(X96)
          | c2_1(X96)
          | c3_1(X96) )
      | ! [X97] :
          ( ~ ndr1_0
          | c0_1(X97)
          | ~ c1_1(X97)
          | ~ c2_1(X97) ) )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c0_1(X98)
          | c1_1(X98)
          | c2_1(X98) )
      | ! [X99] :
          ( ~ ndr1_0
          | c1_1(X99)
          | c2_1(X99)
          | c3_1(X99) )
      | ! [X100] :
          ( ~ ndr1_0
          | c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100) ) )
    & ( ! [X101] :
          ( ~ ndr1_0
          | c0_1(X101)
          | c1_1(X101)
          | c2_1(X101) )
      | ! [X102] :
          ( ~ ndr1_0
          | c1_1(X102)
          | ~ c0_1(X102)
          | ~ c2_1(X102) )
      | ! [X103] :
          ( ~ ndr1_0
          | ~ c0_1(X103)
          | ~ c1_1(X103)
          | ~ c3_1(X103) ) )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c0_1(X104)
          | c1_1(X104)
          | c2_1(X104) )
      | ! [X105] :
          ( ~ ndr1_0
          | c2_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105) )
      | hskp0 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | c0_1(X106)
          | c1_1(X106)
          | c3_1(X106) )
      | ! [X107] :
          ( ~ ndr1_0
          | c0_1(X107)
          | c2_1(X107)
          | c3_1(X107) )
      | ! [X108] :
          ( ~ ndr1_0
          | c0_1(X108)
          | ~ c2_1(X108)
          | ~ c3_1(X108) ) )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | c1_1(X109)
          | c3_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | c0_1(X110)
          | c2_1(X110)
          | ~ c1_1(X110) )
      | ! [X111] :
          ( ~ ndr1_0
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ c2_1(X111) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c0_1(X112)
          | c1_1(X112)
          | ~ c2_1(X112) )
      | ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | c2_1(X113)
          | ~ c1_1(X113) )
      | ! [X114] :
          ( ~ ndr1_0
          | c3_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114) ) )
    & ( ! [X115] :
          ( ~ ndr1_0
          | c0_1(X115)
          | c1_1(X115)
          | ~ c2_1(X115) )
      | ! [X116] :
          ( ~ ndr1_0
          | c1_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116) )
      | hskp1 )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c0_1(X117)
          | c1_1(X117)
          | ~ c3_1(X117) )
      | ! [X118] :
          ( ~ ndr1_0
          | c2_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118) )
      | hskp0 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | c0_1(X119)
          | c1_1(X119)
          | ~ c3_1(X119) )
      | hskp2
      | hskp0 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c2_1(X120)
          | c3_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | c0_1(X121)
          | c2_1(X121)
          | ~ c1_1(X121) )
      | ! [X122] :
          ( ~ ndr1_0
          | c1_1(X122)
          | ~ c2_1(X122)
          | ~ c3_1(X122) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c2_1(X123)
          | ~ c1_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c0_1(X124)
          | c3_1(X124)
          | ~ c1_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125) ) )
    & ( ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c2_1(X126)
          | ~ c1_1(X126) )
      | ! [X127] :
          ( ~ ndr1_0
          | c0_1(X127)
          | c3_1(X127)
          | ~ c1_1(X127) )
      | hskp3 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c2_1(X128)
          | ~ c1_1(X128) )
      | ! [X129] :
          ( ~ ndr1_0
          | c1_1(X129)
          | ~ c0_1(X129)
          | ~ c2_1(X129) )
      | hskp4 )
    & ( ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c2_1(X130)
          | ~ c1_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c1_1(X131)
          | ~ c0_1(X131)
          | ~ c3_1(X131) )
      | hskp5 )
    & ( ! [X132] :
          ( ~ ndr1_0
          | c0_1(X132)
          | c2_1(X132)
          | ~ c1_1(X132) )
      | ! [X133] :
          ( ~ ndr1_0
          | c3_1(X133)
          | ~ c0_1(X133)
          | ~ c1_1(X133) )
      | hskp6 )
    & ( ! [X134] :
          ( ~ ndr1_0
          | c0_1(X134)
          | c2_1(X134)
          | ~ c1_1(X134) )
      | hskp7
      | hskp4 )
    & ( ! [X135] :
          ( ~ ndr1_0
          | c0_1(X135)
          | c2_1(X135)
          | ~ c1_1(X135) )
      | hskp8
      | hskp5 )
    & ( ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c2_1(X136)
          | ~ c3_1(X136) )
      | ! [X137] :
          ( ~ ndr1_0
          | c3_1(X137)
          | ~ c0_1(X137)
          | ~ c2_1(X137) )
      | hskp9 )
    & ( ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c2_1(X138)
          | ~ c3_1(X138) )
      | hskp10
      | hskp11 )
    & ( ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | c3_1(X139)
          | ~ c1_1(X139) )
      | ! [X140] :
          ( ~ ndr1_0
          | c2_1(X140)
          | ~ c1_1(X140)
          | ~ c3_1(X140) )
      | hskp12 )
    & ( ! [X141] :
          ( ~ ndr1_0
          | c0_1(X141)
          | c3_1(X141)
          | ~ c2_1(X141) )
      | ! [X142] :
          ( ~ ndr1_0
          | c3_1(X142)
          | ~ c1_1(X142)
          | ~ c2_1(X142) )
      | hskp8 )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | ~ c1_1(X143)
          | ~ c2_1(X143) )
      | ! [X144] :
          ( ~ ndr1_0
          | c2_1(X144)
          | c3_1(X144)
          | ~ c0_1(X144) )
      | hskp12 )
    & ( ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | ~ c1_1(X145)
          | ~ c2_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c3_1(X146)
          | ~ c0_1(X146)
          | ~ c1_1(X146) )
      | hskp13 )
    & ( ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | ~ c2_1(X147)
          | ~ c3_1(X147) )
      | ! [X148] :
          ( ~ ndr1_0
          | c2_1(X148)
          | c3_1(X148)
          | ~ c1_1(X148) )
      | hskp3 )
    & ( ! [X149] :
          ( ~ ndr1_0
          | c0_1(X149)
          | ~ c2_1(X149)
          | ~ c3_1(X149) )
      | hskp14
      | hskp0 )
    & ( ! [X150] :
          ( ~ ndr1_0
          | c1_1(X150)
          | c2_1(X150)
          | ~ c0_1(X150) )
      | ! [X151] :
          ( ~ ndr1_0
          | c2_1(X151)
          | ~ c1_1(X151)
          | ~ c3_1(X151) )
      | hskp14 )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c1_1(X152)
          | c2_1(X152)
          | ~ c3_1(X152) )
      | ! [X153] :
          ( ~ ndr1_0
          | c2_1(X153)
          | ~ c0_1(X153)
          | ~ c1_1(X153) )
      | hskp7 )
    & ( ! [X154] :
          ( ~ ndr1_0
          | c1_1(X154)
          | c2_1(X154)
          | ~ c3_1(X154) )
      | hskp6
      | hskp15 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c1_1(X155)
          | c2_1(X155)
          | ~ c3_1(X155) )
      | hskp16 )
    & ( ! [X156] :
          ( ~ ndr1_0
          | c1_1(X156)
          | c3_1(X156)
          | ~ c0_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | c1_1(X157)
          | c3_1(X157)
          | ~ c2_1(X157) )
      | hskp13 )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c1_1(X158)
          | c3_1(X158)
          | ~ c0_1(X158) )
      | ! [X159] :
          ( ~ ndr1_0
          | c2_1(X159)
          | c3_1(X159)
          | ~ c1_1(X159) )
      | hskp17 )
    & ( ! [X160] :
          ( ~ ndr1_0
          | c1_1(X160)
          | c3_1(X160)
          | ~ c2_1(X160) )
      | ! [X161] :
          ( ~ ndr1_0
          | c2_1(X161)
          | c3_1(X161)
          | ~ c1_1(X161) )
      | hskp5 )
    & ( ! [X162] :
          ( ~ ndr1_0
          | c1_1(X162)
          | c3_1(X162)
          | ~ c2_1(X162) )
      | hskp11
      | hskp16 )
    & ( ! [X163] :
          ( ~ ndr1_0
          | c1_1(X163)
          | ~ c0_1(X163)
          | ~ c2_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c1_1(X164)
          | ~ c0_1(X164)
          | ~ c3_1(X164) )
      | hskp4 )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c1_1(X165)
          | ~ c0_1(X165)
          | ~ c2_1(X165) )
      | hskp17
      | hskp18 )
    & ( ! [X166] :
          ( ~ ndr1_0
          | c1_1(X166)
          | ~ c0_1(X166)
          | ~ c2_1(X166) )
      | hskp19
      | hskp12 )
    & ( ! [X167] :
          ( ~ ndr1_0
          | c1_1(X167)
          | ~ c0_1(X167)
          | ~ c2_1(X167) )
      | hskp11
      | hskp20 )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c1_1(X168)
          | ~ c2_1(X168)
          | ~ c3_1(X168) )
      | hskp27
      | hskp3 )
    & ( ! [X169] :
          ( ~ ndr1_0
          | c2_1(X169)
          | c3_1(X169)
          | ~ c0_1(X169) )
      | hskp21 )
    & ( ! [X170] :
          ( ~ ndr1_0
          | c2_1(X170)
          | c3_1(X170)
          | ~ c1_1(X170) )
      | ! [X171] :
          ( ~ ndr1_0
          | c2_1(X171)
          | ~ c1_1(X171)
          | ~ c3_1(X171) )
      | ! [X172] :
          ( ~ ndr1_0
          | ~ c0_1(X172)
          | ~ c1_1(X172)
          | ~ c3_1(X172) ) )
    & ( ! [X173] :
          ( ~ ndr1_0
          | c2_1(X173)
          | c3_1(X173)
          | ~ c1_1(X173) )
      | ! [X174] :
          ( ~ ndr1_0
          | ~ c0_1(X174)
          | ~ c1_1(X174)
          | ~ c3_1(X174) )
      | hskp17 )
    & ( ! [X175] :
          ( ~ ndr1_0
          | c2_1(X175)
          | c3_1(X175)
          | ~ c1_1(X175) )
      | hskp22 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c2_1(X176)
          | ~ c1_1(X176)
          | ~ c3_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | ~ c0_1(X177)
          | ~ c2_1(X177)
          | ~ c3_1(X177) ) )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c3_1(X178)
          | ~ c0_1(X178)
          | ~ c1_1(X178) )
      | hskp17
      | hskp4 )
    & ( ! [X179] :
          ( ~ ndr1_0
          | c3_1(X179)
          | ~ c0_1(X179)
          | ~ c1_1(X179) )
      | hskp23
      | hskp24 )
    & ( ! [X180] :
          ( ~ ndr1_0
          | c3_1(X180)
          | ~ c0_1(X180)
          | ~ c2_1(X180) )
      | ! [X181] :
          ( ~ ndr1_0
          | ~ c0_1(X181)
          | ~ c2_1(X181)
          | ~ c3_1(X181) )
      | hskp11 )
    & ( ! [X182] :
          ( ~ ndr1_0
          | c3_1(X182)
          | ~ c1_1(X182)
          | ~ c2_1(X182) )
      | ! [X183] :
          ( ~ ndr1_0
          | ~ c1_1(X183)
          | ~ c2_1(X183)
          | ~ c3_1(X183) )
      | hskp4 )
    & ( ! [X184] :
          ( ~ ndr1_0
          | c3_1(X184)
          | ~ c1_1(X184)
          | ~ c2_1(X184) )
      | hskp15
      | hskp25 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | ~ c0_1(X185)
          | ~ c1_1(X185)
          | ~ c2_1(X185) )
      | hskp6
      | hskp8 )
    & ( ! [X186] :
          ( ~ ndr1_0
          | ~ c0_1(X186)
          | ~ c1_1(X186)
          | ~ c2_1(X186) )
      | hskp26
      | hskp23 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | ~ c0_1(X187)
          | ~ c1_1(X187)
          | ~ c3_1(X187) )
      | hskp17
      | hskp21 )
    & ( ! [X188] :
          ( ~ ndr1_0
          | ~ c1_1(X188)
          | ~ c2_1(X188)
          | ~ c3_1(X188) )
      | hskp28 )
    & ( hskp29
      | hskp27
      | hskp10 )
    & ( hskp7
      | hskp1
      | hskp10 )
    & ( hskp17
      | hskp5
      | hskp24 )
    & ( hskp6
      | hskp15
      | hskp23 )
    & ( hskp26
      | hskp11
      | hskp12 )
    & ( hskp26
      | hskp16 )
    & ( hskp20
      | hskp12
      | hskp25 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [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,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188] :
      ( ( ~ ndr1_0
        | ~ c1_1(X188)
        | ~ c2_1(X188)
        | ~ c3_1(X188)
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X187)
        | ~ c1_1(X187)
        | ~ c3_1(X187)
        | hskp17
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c1_1(X186)
        | ~ c2_1(X186)
        | hskp26
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X185)
        | ~ c1_1(X185)
        | ~ c2_1(X185)
        | hskp6
        | hskp8 )
      & ( ~ ndr1_0
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | hskp15
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c1_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | ~ ndr1_0
        | c3_1(X182)
        | ~ c1_1(X182)
        | ~ c2_1(X182)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | c3_1(X180)
        | ~ c0_1(X180)
        | ~ c2_1(X180)
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | hskp23
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X178)
        | ~ c0_1(X178)
        | ~ c1_1(X178)
        | hskp17
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c1_1(X176)
        | ~ c3_1(X176) )
      & ( ~ ndr1_0
        | c2_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | hskp22 )
      & ( ~ ndr1_0
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ c3_1(X174)
        | ~ ndr1_0
        | c2_1(X173)
        | c3_1(X173)
        | ~ c1_1(X173)
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | c2_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | ~ ndr1_0
        | c2_1(X170)
        | c3_1(X170)
        | ~ c1_1(X170) )
      & ( ~ ndr1_0
        | c2_1(X169)
        | c3_1(X169)
        | ~ c0_1(X169)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X168)
        | ~ c2_1(X168)
        | ~ c3_1(X168)
        | hskp27
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | hskp11
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X166)
        | ~ c0_1(X166)
        | ~ c2_1(X166)
        | hskp19
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X165)
        | ~ c0_1(X165)
        | ~ c2_1(X165)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X164)
        | ~ c0_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | c1_1(X163)
        | ~ c0_1(X163)
        | ~ c2_1(X163)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | c3_1(X162)
        | ~ c2_1(X162)
        | hskp11
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X161)
        | c3_1(X161)
        | ~ c1_1(X161)
        | ~ ndr1_0
        | c1_1(X160)
        | c3_1(X160)
        | ~ c2_1(X160)
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X159)
        | c3_1(X159)
        | ~ c1_1(X159)
        | ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | ~ c0_1(X158)
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X157)
        | c3_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c1_1(X156)
        | c3_1(X156)
        | ~ c0_1(X156)
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X154)
        | c2_1(X154)
        | ~ c3_1(X154)
        | hskp6
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X153)
        | ~ c0_1(X153)
        | ~ c1_1(X153)
        | ~ ndr1_0
        | c1_1(X152)
        | c2_1(X152)
        | ~ c3_1(X152)
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c1_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c1_1(X150)
        | c2_1(X150)
        | ~ c0_1(X150)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | ~ c2_1(X149)
        | ~ c3_1(X149)
        | hskp14
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X148)
        | c3_1(X148)
        | ~ c1_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | ~ c2_1(X147)
        | ~ c3_1(X147)
        | hskp3 )
      & ( ~ ndr1_0
        | c3_1(X146)
        | ~ c0_1(X146)
        | ~ c1_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | ~ c1_1(X145)
        | ~ c2_1(X145)
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X144)
        | c3_1(X144)
        | ~ c0_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | ~ c1_1(X143)
        | ~ c2_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X142)
        | ~ c1_1(X142)
        | ~ c2_1(X142)
        | ~ ndr1_0
        | c0_1(X141)
        | c3_1(X141)
        | ~ c2_1(X141)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X140)
        | ~ c1_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c3_1(X139)
        | ~ c1_1(X139)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | ~ c3_1(X138)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X137)
        | ~ c0_1(X137)
        | ~ c2_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c2_1(X136)
        | ~ c3_1(X136)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c1_1(X135)
        | hskp8
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X134)
        | c2_1(X134)
        | ~ c1_1(X134)
        | hskp7
        | hskp4 )
      & ( ~ ndr1_0
        | c3_1(X133)
        | ~ c0_1(X133)
        | ~ c1_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c2_1(X132)
        | ~ c1_1(X132)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X131)
        | ~ c0_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c2_1(X130)
        | ~ c1_1(X130)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X129)
        | ~ c0_1(X129)
        | ~ c2_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c1_1(X128)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c3_1(X127)
        | ~ c1_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c1_1(X126)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c0_1(X124)
        | c3_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c1_1(X123) )
      & ( ~ ndr1_0
        | c1_1(X122)
        | ~ c2_1(X122)
        | ~ c3_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120) )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c1_1(X119)
        | ~ c3_1(X119)
        | hskp2
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X118)
        | ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | ~ c3_1(X117)
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X116)
        | ~ c2_1(X116)
        | ~ c3_1(X116)
        | ~ ndr1_0
        | c0_1(X115)
        | c1_1(X115)
        | ~ c2_1(X115)
        | hskp1 )
      & ( ~ ndr1_0
        | c3_1(X114)
        | ~ c1_1(X114)
        | ~ c2_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c2_1(X113)
        | ~ c1_1(X113)
        | ~ ndr1_0
        | c0_1(X112)
        | c1_1(X112)
        | ~ c2_1(X112) )
      & ( ~ ndr1_0
        | c3_1(X111)
        | ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ ndr1_0
        | c0_1(X110)
        | c2_1(X110)
        | ~ c1_1(X110)
        | ~ ndr1_0
        | c0_1(X109)
        | c1_1(X109)
        | c3_1(X109) )
      & ( ~ ndr1_0
        | c0_1(X108)
        | ~ c2_1(X108)
        | ~ c3_1(X108)
        | ~ ndr1_0
        | c0_1(X107)
        | c2_1(X107)
        | c3_1(X107)
        | ~ ndr1_0
        | c0_1(X106)
        | c1_1(X106)
        | c3_1(X106) )
      & ( ~ ndr1_0
        | c2_1(X105)
        | ~ c0_1(X105)
        | ~ c1_1(X105)
        | ~ ndr1_0
        | c0_1(X104)
        | c1_1(X104)
        | c2_1(X104)
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X103)
        | ~ c1_1(X103)
        | ~ c3_1(X103)
        | ~ ndr1_0
        | c1_1(X102)
        | ~ c0_1(X102)
        | ~ c2_1(X102)
        | ~ ndr1_0
        | c0_1(X101)
        | c1_1(X101)
        | c2_1(X101) )
      & ( ~ ndr1_0
        | c2_1(X100)
        | ~ c1_1(X100)
        | ~ c3_1(X100)
        | ~ ndr1_0
        | c1_1(X99)
        | c2_1(X99)
        | c3_1(X99)
        | ~ ndr1_0
        | c0_1(X98)
        | c1_1(X98)
        | c2_1(X98) )
      & ( ~ ndr1_0
        | c0_1(X97)
        | ~ c1_1(X97)
        | ~ c2_1(X97)
        | ~ ndr1_0
        | c0_1(X96)
        | c2_1(X96)
        | c3_1(X96)
        | ~ ndr1_0
        | c0_1(X95)
        | c1_1(X95)
        | c2_1(X95) )
      & ( ~ hskp0
        | ( ndr1_0
          & ~ c0_1(a294)
          & ~ c2_1(a294)
          & ~ c3_1(a294) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a295)
          & c2_1(a295)
          & ~ c1_1(a295) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a297)
          & ~ c0_1(a297)
          & ~ c3_1(a297) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a299)
          & c3_1(a299)
          & ~ c2_1(a299) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c0_1(a300)
          & ~ c1_1(a300)
          & ~ c2_1(a300) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a301)
          & ~ c1_1(a301)
          & ~ c3_1(a301) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a302)
          & ~ c1_1(a302)
          & ~ c2_1(a302) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a303)
          & c1_1(a303)
          & ~ c2_1(a303) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a305)
          & ~ c0_1(a305)
          & ~ c1_1(a305) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a307)
          & ~ c1_1(a307)
          & ~ c3_1(a307) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a308)
          & c3_1(a308)
          & ~ c0_1(a308) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c1_1(a309)
          & c3_1(a309)
          & ~ c2_1(a309) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c3_1(a310)
          & ~ c0_1(a310)
          & ~ c2_1(a310) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a313)
          & c3_1(a313)
          & ~ c1_1(a313) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c1_1(a315)
          & c2_1(a315)
          & ~ c0_1(a315) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a320)
          & ~ c0_1(a320)
          & ~ c2_1(a320) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a321)
          & c3_1(a321)
          & ~ c1_1(a321) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a323)
          & c2_1(a323)
          & ~ c3_1(a323) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c2_1(a329)
          & ~ c0_1(a329)
          & ~ c3_1(a329) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a330)
          & c2_1(a330)
          & ~ c3_1(a330) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a333)
          & ~ c2_1(a333)
          & ~ c3_1(a333) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a336)
          & ~ c0_1(a336)
          & ~ c1_1(a336) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c1_1(a338)
          & ~ c2_1(a338)
          & ~ c3_1(a338) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c2_1(a341)
          & c3_1(a341)
          & ~ c0_1(a341) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a342)
          & ~ c1_1(a342)
          & ~ c2_1(a342) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & ~ c0_1(a346)
          & ~ c1_1(a346)
          & ~ c3_1(a346) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c0_1(a349)
          & ~ c2_1(a349)
          & ~ c3_1(a349) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a334)
          & c2_1(a334)
          & c3_1(a334) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a353)
          & c2_1(a353)
          & c3_1(a353) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a354)
          & c1_1(a354)
          & c2_1(a354) ) )
      & ( hskp29
        | hskp27
        | hskp10 )
      & ( hskp7
        | hskp1
        | hskp10 )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( hskp26
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp16 )
      & ( hskp20
        | hskp12
        | hskp25 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [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,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188] :
      ( ( ~ ndr1_0
        | ~ c1_1(X188)
        | ~ c2_1(X188)
        | ~ c3_1(X188)
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X187)
        | ~ c1_1(X187)
        | ~ c3_1(X187)
        | hskp17
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c1_1(X186)
        | ~ c2_1(X186)
        | hskp26
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X185)
        | ~ c1_1(X185)
        | ~ c2_1(X185)
        | hskp6
        | hskp8 )
      & ( ~ ndr1_0
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | hskp15
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c1_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | ~ ndr1_0
        | c3_1(X182)
        | ~ c1_1(X182)
        | ~ c2_1(X182)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | c3_1(X180)
        | ~ c0_1(X180)
        | ~ c2_1(X180)
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X179)
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | hskp23
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X178)
        | ~ c0_1(X178)
        | ~ c1_1(X178)
        | hskp17
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c1_1(X176)
        | ~ c3_1(X176) )
      & ( ~ ndr1_0
        | c2_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | hskp22 )
      & ( ~ ndr1_0
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ c3_1(X174)
        | ~ ndr1_0
        | c2_1(X173)
        | c3_1(X173)
        | ~ c1_1(X173)
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | ~ ndr1_0
        | c2_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | ~ ndr1_0
        | c2_1(X170)
        | c3_1(X170)
        | ~ c1_1(X170) )
      & ( ~ ndr1_0
        | c2_1(X169)
        | c3_1(X169)
        | ~ c0_1(X169)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X168)
        | ~ c2_1(X168)
        | ~ c3_1(X168)
        | hskp27
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | hskp11
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X166)
        | ~ c0_1(X166)
        | ~ c2_1(X166)
        | hskp19
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X165)
        | ~ c0_1(X165)
        | ~ c2_1(X165)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X164)
        | ~ c0_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | c1_1(X163)
        | ~ c0_1(X163)
        | ~ c2_1(X163)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X162)
        | c3_1(X162)
        | ~ c2_1(X162)
        | hskp11
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X161)
        | c3_1(X161)
        | ~ c1_1(X161)
        | ~ ndr1_0
        | c1_1(X160)
        | c3_1(X160)
        | ~ c2_1(X160)
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X159)
        | c3_1(X159)
        | ~ c1_1(X159)
        | ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | ~ c0_1(X158)
        | hskp17 )
      & ( ~ ndr1_0
        | c1_1(X157)
        | c3_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c1_1(X156)
        | c3_1(X156)
        | ~ c0_1(X156)
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X155)
        | c2_1(X155)
        | ~ c3_1(X155)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X154)
        | c2_1(X154)
        | ~ c3_1(X154)
        | hskp6
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X153)
        | ~ c0_1(X153)
        | ~ c1_1(X153)
        | ~ ndr1_0
        | c1_1(X152)
        | c2_1(X152)
        | ~ c3_1(X152)
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c1_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c1_1(X150)
        | c2_1(X150)
        | ~ c0_1(X150)
        | hskp14 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | ~ c2_1(X149)
        | ~ c3_1(X149)
        | hskp14
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X148)
        | c3_1(X148)
        | ~ c1_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | ~ c2_1(X147)
        | ~ c3_1(X147)
        | hskp3 )
      & ( ~ ndr1_0
        | c3_1(X146)
        | ~ c0_1(X146)
        | ~ c1_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | ~ c1_1(X145)
        | ~ c2_1(X145)
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X144)
        | c3_1(X144)
        | ~ c0_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | ~ c1_1(X143)
        | ~ c2_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X142)
        | ~ c1_1(X142)
        | ~ c2_1(X142)
        | ~ ndr1_0
        | c0_1(X141)
        | c3_1(X141)
        | ~ c2_1(X141)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X140)
        | ~ c1_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c3_1(X139)
        | ~ c1_1(X139)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | ~ c3_1(X138)
        | hskp10
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X137)
        | ~ c0_1(X137)
        | ~ c2_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c2_1(X136)
        | ~ c3_1(X136)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c1_1(X135)
        | hskp8
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X134)
        | c2_1(X134)
        | ~ c1_1(X134)
        | hskp7
        | hskp4 )
      & ( ~ ndr1_0
        | c3_1(X133)
        | ~ c0_1(X133)
        | ~ c1_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c2_1(X132)
        | ~ c1_1(X132)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X131)
        | ~ c0_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c2_1(X130)
        | ~ c1_1(X130)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X129)
        | ~ c0_1(X129)
        | ~ c2_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c1_1(X128)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c3_1(X127)
        | ~ c1_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c1_1(X126)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c0_1(X124)
        | c3_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c1_1(X123) )
      & ( ~ ndr1_0
        | c1_1(X122)
        | ~ c2_1(X122)
        | ~ c3_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120) )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c1_1(X119)
        | ~ c3_1(X119)
        | hskp2
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X118)
        | ~ c1_1(X118)
        | ~ c3_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | ~ c3_1(X117)
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X116)
        | ~ c2_1(X116)
        | ~ c3_1(X116)
        | ~ ndr1_0
        | c0_1(X115)
        | c1_1(X115)
        | ~ c2_1(X115)
        | hskp1 )
      & ( ~ ndr1_0
        | c3_1(X114)
        | ~ c1_1(X114)
        | ~ c2_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c2_1(X113)
        | ~ c1_1(X113)
        | ~ ndr1_0
        | c0_1(X112)
        | c1_1(X112)
        | ~ c2_1(X112) )
      & ( ~ ndr1_0
        | c3_1(X111)
        | ~ c0_1(X111)
        | ~ c2_1(X111)
        | ~ ndr1_0
        | c0_1(X110)
        | c2_1(X110)
        | ~ c1_1(X110)
        | ~ ndr1_0
        | c0_1(X109)
        | c1_1(X109)
        | c3_1(X109) )
      & ( ~ ndr1_0
        | c0_1(X108)
        | ~ c2_1(X108)
        | ~ c3_1(X108)
        | ~ ndr1_0
        | c0_1(X107)
        | c2_1(X107)
        | c3_1(X107)
        | ~ ndr1_0
        | c0_1(X106)
        | c1_1(X106)
        | c3_1(X106) )
      & ( ~ ndr1_0
        | c2_1(X105)
        | ~ c0_1(X105)
        | ~ c1_1(X105)
        | ~ ndr1_0
        | c0_1(X104)
        | c1_1(X104)
        | c2_1(X104)
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X103)
        | ~ c1_1(X103)
        | ~ c3_1(X103)
        | ~ ndr1_0
        | c1_1(X102)
        | ~ c0_1(X102)
        | ~ c2_1(X102)
        | ~ ndr1_0
        | c0_1(X101)
        | c1_1(X101)
        | c2_1(X101) )
      & ( ~ ndr1_0
        | c2_1(X100)
        | ~ c1_1(X100)
        | ~ c3_1(X100)
        | ~ ndr1_0
        | c1_1(X99)
        | c2_1(X99)
        | c3_1(X99)
        | ~ ndr1_0
        | c0_1(X98)
        | c1_1(X98)
        | c2_1(X98) )
      & ( ~ ndr1_0
        | c0_1(X97)
        | ~ c1_1(X97)
        | ~ c2_1(X97)
        | ~ ndr1_0
        | c0_1(X96)
        | c2_1(X96)
        | c3_1(X96)
        | ~ ndr1_0
        | c0_1(X95)
        | c1_1(X95)
        | c2_1(X95) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( ~ c0_1(a294)
        | ~ hskp0 )
      & ( ~ c2_1(a294)
        | ~ hskp0 )
      & ( ~ c3_1(a294)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a295)
        | ~ hskp1 )
      & ( c2_1(a295)
        | ~ hskp1 )
      & ( ~ c1_1(a295)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c1_1(a297)
        | ~ hskp2 )
      & ( ~ c0_1(a297)
        | ~ hskp2 )
      & ( ~ c3_1(a297)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a299)
        | ~ hskp3 )
      & ( c3_1(a299)
        | ~ hskp3 )
      & ( ~ c2_1(a299)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( ~ c0_1(a300)
        | ~ hskp4 )
      & ( ~ c1_1(a300)
        | ~ hskp4 )
      & ( ~ c2_1(a300)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c2_1(a301)
        | ~ hskp5 )
      & ( ~ c1_1(a301)
        | ~ hskp5 )
      & ( ~ c3_1(a301)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c0_1(a302)
        | ~ hskp6 )
      & ( ~ c1_1(a302)
        | ~ hskp6 )
      & ( ~ c2_1(a302)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a303)
        | ~ hskp7 )
      & ( c1_1(a303)
        | ~ hskp7 )
      & ( ~ c2_1(a303)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c2_1(a305)
        | ~ hskp8 )
      & ( ~ c0_1(a305)
        | ~ hskp8 )
      & ( ~ c1_1(a305)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c0_1(a307)
        | ~ hskp9 )
      & ( ~ c1_1(a307)
        | ~ hskp9 )
      & ( ~ c3_1(a307)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c1_1(a308)
        | ~ hskp10 )
      & ( c3_1(a308)
        | ~ hskp10 )
      & ( ~ c0_1(a308)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c1_1(a309)
        | ~ hskp11 )
      & ( c3_1(a309)
        | ~ hskp11 )
      & ( ~ c2_1(a309)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c3_1(a310)
        | ~ hskp12 )
      & ( ~ c0_1(a310)
        | ~ hskp12 )
      & ( ~ c2_1(a310)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a313)
        | ~ hskp13 )
      & ( c3_1(a313)
        | ~ hskp13 )
      & ( ~ c1_1(a313)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c1_1(a315)
        | ~ hskp14 )
      & ( c2_1(a315)
        | ~ hskp14 )
      & ( ~ c0_1(a315)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c1_1(a320)
        | ~ hskp15 )
      & ( ~ c0_1(a320)
        | ~ hskp15 )
      & ( ~ c2_1(a320)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c2_1(a321)
        | ~ hskp16 )
      & ( c3_1(a321)
        | ~ hskp16 )
      & ( ~ c1_1(a321)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c0_1(a323)
        | ~ hskp17 )
      & ( c2_1(a323)
        | ~ hskp17 )
      & ( ~ c3_1(a323)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c2_1(a329)
        | ~ hskp18 )
      & ( ~ c0_1(a329)
        | ~ hskp18 )
      & ( ~ c3_1(a329)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a330)
        | ~ hskp19 )
      & ( c2_1(a330)
        | ~ hskp19 )
      & ( ~ c3_1(a330)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a333)
        | ~ hskp20 )
      & ( ~ c2_1(a333)
        | ~ hskp20 )
      & ( ~ c3_1(a333)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c3_1(a336)
        | ~ hskp21 )
      & ( ~ c0_1(a336)
        | ~ hskp21 )
      & ( ~ c1_1(a336)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( ~ c1_1(a338)
        | ~ hskp22 )
      & ( ~ c2_1(a338)
        | ~ hskp22 )
      & ( ~ c3_1(a338)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c2_1(a341)
        | ~ hskp23 )
      & ( c3_1(a341)
        | ~ hskp23 )
      & ( ~ c0_1(a341)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c3_1(a342)
        | ~ hskp24 )
      & ( ~ c1_1(a342)
        | ~ hskp24 )
      & ( ~ c2_1(a342)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( ~ c0_1(a346)
        | ~ hskp25 )
      & ( ~ c1_1(a346)
        | ~ hskp25 )
      & ( ~ c3_1(a346)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c0_1(a349)
        | ~ hskp26 )
      & ( ~ c2_1(a349)
        | ~ hskp26 )
      & ( ~ c3_1(a349)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a334)
        | ~ hskp27 )
      & ( c2_1(a334)
        | ~ hskp27 )
      & ( c3_1(a334)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c1_1(a353)
        | ~ hskp28 )
      & ( c2_1(a353)
        | ~ hskp28 )
      & ( c3_1(a353)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a354)
        | ~ hskp29 )
      & ( c1_1(a354)
        | ~ hskp29 )
      & ( c2_1(a354)
        | ~ hskp29 )
      & ( hskp29
        | hskp27
        | hskp10 )
      & ( hskp7
        | hskp1
        | hskp10 )
      & ( hskp17
        | hskp5
        | hskp24 )
      & ( hskp6
        | hskp15
        | hskp23 )
      & ( hskp26
        | hskp11
        | hskp12 )
      & ( hskp26
        | hskp16 )
      & ( hskp20
        | hskp12
        | hskp25 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(9,negated_conjecture,
    ( hskp16
    | hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp24
    | hskp5
    | hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp10
    | hskp1
    | hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c3_1(a353)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c2_1(a353)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(21,negated_conjecture,
    ( c1_1(a353)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c3_1(a334)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c2_1(a334)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(25,negated_conjecture,
    ( c0_1(a334)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a349) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a349) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(29,negated_conjecture,
    ( c0_1(a349)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a342) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a342) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(37,negated_conjecture,
    ( c3_1(a342)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a341) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( c3_1(a341)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(41,negated_conjecture,
    ( c2_1(a341)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a336) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a336) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(49,negated_conjecture,
    ( c3_1(a336)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( ~ hskp20
    | ~ c3_1(a333) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a333) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(53,negated_conjecture,
    ( c1_1(a333)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a330) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( c2_1(a330)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( c1_1(a330)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a329) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a329) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( c2_1(a329)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a323) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( c2_1(a323)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( c0_1(a323)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a321) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( c3_1(a321)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( c2_1(a321)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( ndr1_0
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a315) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( c2_1(a315)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(77,negated_conjecture,
    ( c1_1(a315)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(79,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a313) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(80,negated_conjecture,
    ( c3_1(a313)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(81,negated_conjecture,
    ( c0_1(a313)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a310) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a310) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(85,negated_conjecture,
    ( c3_1(a310)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a309) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( c3_1(a309)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( c1_1(a309)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a308) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( c3_1(a308)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( c1_1(a308)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a307) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a307) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(97,negated_conjecture,
    ( c0_1(a307)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a305) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a305) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(101,negated_conjecture,
    ( c2_1(a305)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a303) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( c1_1(a303)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( c0_1(a303)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a302) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a302) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( c0_1(a302)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a301) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a301) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( c2_1(a301)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a300) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a300) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a300) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a299) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( c3_1(a299)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( c0_1(a299)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( ~ hskp2
    | ~ c3_1(a297) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a297) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(125,negated_conjecture,
    ( c1_1(a297)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a295) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(128,negated_conjecture,
    ( c2_1(a295)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( c0_1(a295)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a294) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a294) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( ~ hskp0
    | ~ c0_1(a294) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(137,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(139,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(143,negated_conjecture,
    ( hskp0
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp0
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(145,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c1_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(147,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(148,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(149,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp4
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(154,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(157,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(160,negated_conjecture,
    ( hskp0
    | hskp14
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(164,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp16
    | hskp11
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(169,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp12
    | hskp19
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( hskp3
    | hskp27
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp4
    | hskp17
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp24
    | hskp23
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(182,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(186,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( ndr1_0
    | hskp26 ),
    inference(spm,[status(thm)],[70,9,theory(equality)]) ).

cnf(838,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[188,30]) ).

cnf(839,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3)
    | $false ),
    inference(rw,[status(thm)],[175,838,theory(equality)]) ).

cnf(840,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[839,theory(equality)]) ).

cnf(841,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[137,838,theory(equality)]) ).

cnf(842,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[841,theory(equality)]) ).

cnf(849,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[145,838,theory(equality)]) ).

cnf(850,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[849,theory(equality)]) ).

cnf(853,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | $false ),
    inference(rw,[status(thm)],[139,838,theory(equality)]) ).

cnf(854,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[853,theory(equality)]) ).

cnf(855,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3)
    | $false ),
    inference(rw,[status(thm)],[135,838,theory(equality)]) ).

cnf(856,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c1_1(X3)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[855,theory(equality)]) ).

cnf(857,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,838,theory(equality)]) ).

cnf(858,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[857,theory(equality)]) ).

cnf(859,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[182,838,theory(equality)]) ).

cnf(860,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[859,theory(equality)]) ).

cnf(861,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[176,838,theory(equality)]) ).

cnf(862,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[861,theory(equality)]) ).

cnf(863,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[158,838,theory(equality)]) ).

cnf(864,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[863,theory(equality)]) ).

cnf(865,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,838,theory(equality)]) ).

cnf(866,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[865,theory(equality)]) ).

cnf(867,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,838,theory(equality)]) ).

cnf(868,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[867,theory(equality)]) ).

cnf(869,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[155,838,theory(equality)]) ).

cnf(870,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[869,theory(equality)]) ).

cnf(871,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,838,theory(equality)]) ).

cnf(872,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[871,theory(equality)]) ).

cnf(875,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,838,theory(equality)]) ).

cnf(876,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c3_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[875,theory(equality)]) ).

cnf(877,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[162,838,theory(equality)]) ).

cnf(878,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[877,theory(equality)]) ).

cnf(881,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[149,838,theory(equality)]) ).

cnf(882,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[881,theory(equality)]) ).

cnf(883,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[148,838,theory(equality)]) ).

cnf(884,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[883,theory(equality)]) ).

cnf(885,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[159,838,theory(equality)]) ).

cnf(886,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[885,theory(equality)]) ).

cnf(887,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp1
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[142,838,theory(equality)]) ).

cnf(888,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | hskp1
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[887,theory(equality)]) ).

cnf(889,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[143,838,theory(equality)]) ).

cnf(890,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[889,theory(equality)]) ).

cnf(891,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[166,838,theory(equality)]) ).

cnf(892,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[891,theory(equality)]) ).

cnf(897,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[147,838,theory(equality)]) ).

cnf(898,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[897,theory(equality)]) ).

cnf(899,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[138,838,theory(equality)]) ).

cnf(900,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[899,theory(equality)]) ).

cnf(901,negated_conjecture,
    ( c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[178,838,theory(equality)]) ).

cnf(902,negated_conjecture,
    ( c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[901,theory(equality)]) ).

cnf(905,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,838,theory(equality)]) ).

cnf(906,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[905,theory(equality)]) ).

cnf(907,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,838,theory(equality)]) ).

cnf(908,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[907,theory(equality)]) ).

cnf(909,negated_conjecture,
    ( hskp24
    | hskp23
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,838,theory(equality)]) ).

cnf(910,negated_conjecture,
    ( hskp24
    | hskp23
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[909,theory(equality)]) ).

cnf(911,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[170,838,theory(equality)]) ).

cnf(912,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[911,theory(equality)]) ).

cnf(915,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[171,838,theory(equality)]) ).

cnf(916,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[915,theory(equality)]) ).

cnf(917,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,838,theory(equality)]) ).

cnf(918,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[917,theory(equality)]) ).

cnf(919,negated_conjecture,
    ( hskp17
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,838,theory(equality)]) ).

cnf(920,negated_conjecture,
    ( hskp17
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[919,theory(equality)]) ).

cnf(921,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[173,838,theory(equality)]) ).

cnf(922,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[921,theory(equality)]) ).

cnf(923,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[160,838,theory(equality)]) ).

cnf(924,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[923,theory(equality)]) ).

cnf(925,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[168,838,theory(equality)]) ).

cnf(926,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[925,theory(equality)]) ).

cnf(927,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[154,838,theory(equality)]) ).

cnf(928,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[927,theory(equality)]) ).

cnf(933,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[151,838,theory(equality)]) ).

cnf(934,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[933,theory(equality)]) ).

cnf(935,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[144,838,theory(equality)]) ).

cnf(936,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[935,theory(equality)]) ).

cnf(937,negated_conjecture,
    ( hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[187,838,theory(equality)]) ).

cnf(938,negated_conjecture,
    ( hskp28
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[937,theory(equality)]) ).

cnf(941,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[174,838,theory(equality)]) ).

cnf(942,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[941,theory(equality)]) ).

cnf(943,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[164,838,theory(equality)]) ).

cnf(944,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[943,theory(equality)]) ).

cnf(976,negated_conjecture,
    ( hskp28
    | ~ c1_1(a308)
    | ~ c2_1(a308)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[938,92,theory(equality)]) ).

cnf(982,negated_conjecture,
    ( hskp28
    | ~ c1_1(a341)
    | ~ c2_1(a341)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[938,40,theory(equality)]) ).

cnf(1000,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c1_1(a299)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(a299)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[840,120,theory(equality)]) ).

cnf(1002,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ c1_1(a309)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(a309)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[840,88,theory(equality)]) ).

cnf(1018,negated_conjecture,
    ( hskp28
    | ~ hskp10
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[976,93]) ).

cnf(1033,negated_conjecture,
    ( hskp21
    | c2_1(a349)
    | ~ hskp26
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,942,theory(equality)]) ).

cnf(1036,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(a299)
    | ~ c2_1(X1)
    | ~ c0_1(a299)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[842,120,theory(equality)]) ).

cnf(1063,negated_conjecture,
    ( hskp16
    | c1_1(a299)
    | c2_1(a299)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[944,120,theory(equality)]) ).

cnf(1066,negated_conjecture,
    ( hskp16
    | c1_1(a310)
    | c2_1(a310)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[944,85,theory(equality)]) ).

cnf(1067,negated_conjecture,
    ( hskp16
    | c1_1(a313)
    | c2_1(a313)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[944,80,theory(equality)]) ).

cnf(1069,negated_conjecture,
    ( hskp16
    | c1_1(a336)
    | c2_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[944,49,theory(equality)]) ).

cnf(1071,negated_conjecture,
    ( hskp16
    | c1_1(a342)
    | c2_1(a342)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[944,37,theory(equality)]) ).

cnf(1075,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c2_1(X1)
    | hskp21
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[944,942,theory(equality)]) ).

cnf(1093,negated_conjecture,
    ( hskp28
    | ~ hskp23
    | ~ c1_1(a341) ),
    inference(csr,[status(thm)],[982,41]) ).

cnf(1143,negated_conjecture,
    ( hskp21
    | hskp17
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[906,942,theory(equality)]) ).

cnf(1156,negated_conjecture,
    ( hskp21
    | c2_1(a349)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1033,29]) ).

cnf(1157,negated_conjecture,
    ( hskp21
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1156,28]) ).

cnf(1158,negated_conjecture,
    ( hskp16
    | c1_1(a299)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[1063,119]) ).

cnf(1173,negated_conjecture,
    ( hskp16
    | c1_1(a310)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1066,83]) ).

cnf(1182,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ c1_1(a323)
    | ~ c2_1(a323)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[908,65,theory(equality)]) ).

cnf(1191,negated_conjecture,
    ( c1_1(a321)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[850,68,theory(equality)]) ).

cnf(1192,negated_conjecture,
    ( c1_1(a336)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[850,49,theory(equality)]) ).

cnf(1217,negated_conjecture,
    ( hskp16
    | c2_1(a313)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[1067,79]) ).

cnf(1218,negated_conjecture,
    ( hskp16
    | c2_1(a336)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[1069,47]) ).

cnf(1221,negated_conjecture,
    ( hskp16
    | c1_1(a342)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[1071,35]) ).

cnf(1222,negated_conjecture,
    ( hskp16
    | ~ hskp24 ),
    inference(csr,[status(thm)],[1221,36]) ).

cnf(1223,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp5 ),
    inference(spm,[status(thm)],[1222,12,theory(equality)]) ).

cnf(1234,negated_conjecture,
    ( hskp24
    | hskp23
    | ~ hskp26
    | ~ c1_1(a349)
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,910,theory(equality)]) ).

cnf(1272,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a295)
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[912,129,theory(equality)]) ).

cnf(1280,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a334)
    | ~ c2_1(a334)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[912,25,theory(equality)]) ).

cnf(1287,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(a321)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[854,68,theory(equality)]) ).

cnf(1288,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(a336)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[854,49,theory(equality)]) ).

cnf(1335,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(a308)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(a308)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[856,93,theory(equality)]) ).

cnf(1352,negated_conjecture,
    ( hskp24
    | hskp23
    | ~ hskp26
    | ~ c1_1(a349) ),
    inference(csr,[status(thm)],[1234,29]) ).

cnf(1360,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(a295)
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[916,129,theory(equality)]) ).

cnf(1374,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c2_1(a313)
    | ~ c2_1(X1)
    | ~ c0_1(a313)
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[858,80,theory(equality)]) ).

cnf(1375,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c2_1(a321)
    | ~ c2_1(X1)
    | ~ c0_1(a321)
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[858,68,theory(equality)]) ).

cnf(1379,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ c2_1(a334)
    | ~ c2_1(X1)
    | ~ c0_1(a334)
    | ~ c0_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[858,23,theory(equality)]) ).

cnf(1397,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(a295)
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[918,129,theory(equality)]) ).

cnf(1408,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ c1_1(a308)
    | ~ c1_1(X1)
    | ~ c2_1(a308)
    | ~ c2_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[860,92,theory(equality)]) ).

cnf(1417,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ c1_1(a353)
    | ~ c1_1(X1)
    | ~ c2_1(a353)
    | ~ c2_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[860,19,theory(equality)]) ).

cnf(1444,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp26
    | ~ c1_1(a349)
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,920,theory(equality)]) ).

cnf(1465,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(a334)
    | ~ c1_1(X1)
    | ~ c0_1(a334)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[862,23,theory(equality)]) ).

cnf(1496,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(a321)
    | ~ c2_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[922,68,theory(equality)]) ).

cnf(1497,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(a336)
    | ~ c2_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[922,49,theory(equality)]) ).

cnf(1541,negated_conjecture,
    ( hskp14
    | c0_1(a308)
    | hskp0
    | ~ c2_1(a308)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[924,92,theory(equality)]) ).

cnf(1545,negated_conjecture,
    ( hskp14
    | c0_1(a321)
    | hskp0
    | ~ c2_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[924,68,theory(equality)]) ).

cnf(1546,negated_conjecture,
    ( hskp14
    | c0_1(a336)
    | hskp0
    | ~ c2_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[924,49,theory(equality)]) ).

cnf(1556,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a299)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[866,120,theory(equality)]) ).

cnf(1565,negated_conjecture,
    ( hskp4
    | c1_1(a334)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a334)
    | ~ c0_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[866,23,theory(equality)]) ).

cnf(1587,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(a301)
    | ~ hskp5
    | ~ c2_1(a301) ),
    inference(spm,[status(thm)],[111,926,theory(equality)]) ).

cnf(1589,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(a323)
    | ~ hskp17
    | ~ c2_1(a323) ),
    inference(spm,[status(thm)],[63,926,theory(equality)]) ).

cnf(1608,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(X1)
    | hskp16
    | hskp11
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[922,926,theory(equality)]) ).

cnf(1611,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(a299)
    | c2_1(X1)
    | ~ c1_1(a299)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[868,120,theory(equality)]) ).

cnf(1612,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(a308)
    | c2_1(X1)
    | ~ c1_1(a308)
    | ~ c0_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[868,92,theory(equality)]) ).

cnf(1628,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp26
    | ~ c1_1(a349) ),
    inference(csr,[status(thm)],[1444,29]) ).

cnf(1635,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(a301)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[1587,113]) ).

cnf(1636,negated_conjecture,
    ( hskp16
    | hskp11
    | ~ hskp5 ),
    inference(csr,[status(thm)],[1635,112]) ).

cnf(1649,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a310)
    | c0_1(a310)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[928,85,theory(equality)]) ).

cnf(1652,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a336)
    | c0_1(a336)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[928,49,theory(equality)]) ).

cnf(1664,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a308)
    | c0_1(X1)
    | ~ c1_1(a308)
    | ~ c1_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[870,92,theory(equality)]) ).

cnf(1665,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a309)
    | c0_1(X1)
    | ~ c1_1(a309)
    | ~ c1_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[870,88,theory(equality)]) ).

cnf(1682,negated_conjecture,
    ( hskp16
    | hskp11
    | c1_1(a323)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[1589,64]) ).

cnf(1689,negated_conjecture,
    ( hskp13
    | c3_1(a323)
    | c0_1(X1)
    | hskp16
    | hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a323)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[864,1682,theory(equality)]) ).

cnf(1716,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a308)
    | ~ c2_1(a308)
    | ~ c0_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[872,93,theory(equality)]) ).

cnf(1718,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a315)
    | ~ c2_1(a315)
    | ~ c0_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[872,77,theory(equality)]) ).

cnf(1720,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a330)
    | ~ c2_1(a330)
    | ~ c0_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[872,57,theory(equality)]) ).

cnf(1740,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp17
    | ~ c1_1(a323) ),
    inference(csr,[status(thm)],[1182,64]) ).

cnf(1798,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(a297)
    | ~ hskp2
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[124,934,theory(equality)]) ).

cnf(1802,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(a310)
    | ~ hskp12
    | ~ c1_1(a310) ),
    inference(spm,[status(thm)],[84,934,theory(equality)]) ).

cnf(1822,negated_conjecture,
    ( hskp8
    | c3_1(a297)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(a297)
    | ~ c2_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[876,125,theory(equality)]) ).

cnf(1843,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a295)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1272,128]) ).

cnf(1844,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1843,127]) ).

cnf(1852,negated_conjecture,
    ( hskp2
    | c1_1(a310)
    | c0_1(a310)
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[936,85,theory(equality)]) ).

cnf(1854,negated_conjecture,
    ( hskp2
    | c1_1(a321)
    | c0_1(a321)
    | hskp0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[936,68,theory(equality)]) ).

cnf(1855,negated_conjecture,
    ( hskp2
    | c1_1(a336)
    | c0_1(a336)
    | hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[936,49,theory(equality)]) ).

cnf(1866,negated_conjecture,
    ( hskp7
    | c1_1(a299)
    | c2_1(X1)
    | c2_1(a299)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[878,120,theory(equality)]) ).

cnf(1901,negated_conjecture,
    ( c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a313)
    | ~ c0_1(a313)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[902,80,theory(equality)]) ).

cnf(1902,negated_conjecture,
    ( c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a321)
    | ~ c0_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[902,68,theory(equality)]) ).

cnf(1906,negated_conjecture,
    ( c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a334)
    | ~ c0_1(a334)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[902,23,theory(equality)]) ).

cnf(1952,negated_conjecture,
    ( hskp5
    | c1_1(a334)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a334)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[882,23,theory(equality)]) ).

cnf(1960,negated_conjecture,
    ( hskp4
    | c1_1(a295)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[884,129,theory(equality)]) ).

cnf(1980,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a334)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1280,24]) ).

cnf(1994,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a308)
    | ~ c1_1(X1)
    | ~ c2_1(a308)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[886,92,theory(equality)]) ).

cnf(1998,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a321)
    | ~ c1_1(X1)
    | ~ c2_1(a321)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[886,68,theory(equality)]) ).

cnf(2000,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a341)
    | ~ c1_1(X1)
    | ~ c2_1(a341)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[886,40,theory(equality)]) ).

cnf(2015,negated_conjecture,
    ( c1_1(a321)
    | c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ c2_1(a321)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[888,68,theory(equality)]) ).

cnf(2016,negated_conjecture,
    ( c1_1(a336)
    | c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ c2_1(a336)
    | ~ c2_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[888,49,theory(equality)]) ).

cnf(2027,negated_conjecture,
    ( hskp7
    | hskp4
    | c2_1(a297)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[1798,125]) ).

cnf(2037,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a308)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(a308)
    | ~ c3_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[890,92,theory(equality)]) ).

cnf(2038,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a309)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(a309)
    | ~ c3_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[890,88,theory(equality)]) ).

cnf(2039,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a310)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(a310)
    | ~ c3_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[890,85,theory(equality)]) ).

cnf(2057,negated_conjecture,
    ( hskp17
    | c1_1(a307)
    | c3_1(X1)
    | c3_1(a307)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[892,97,theory(equality)]) ).

cnf(2065,negated_conjecture,
    ( hskp7
    | hskp4
    | ~ hskp12
    | ~ c1_1(a310) ),
    inference(csr,[status(thm)],[1802,83]) ).

cnf(2075,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(a295)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1360,128]) ).

cnf(2076,negated_conjecture,
    ( hskp19
    | hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2075,127]) ).

cnf(2134,negated_conjecture,
    ( hskp3
    | c3_1(a297)
    | c2_1(X1)
    | c0_1(a297)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[898,125,theory(equality)]) ).

cnf(2152,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a303)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(a303)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[900,105,theory(equality)]) ).

cnf(2194,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[1000,121]) ).

cnf(2195,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(a299)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[2194,120,theory(equality)]) ).

cnf(2262,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | ~ hskp11
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(a309) ),
    inference(csr,[status(thm)],[1002,89]) ).

cnf(2265,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(a309)
    | ~ hskp11
    | ~ c1_1(a309)
    | ~ c1_1(X1)
    | ~ c0_1(a309) ),
    inference(spm,[status(thm)],[2262,88,theory(equality)]) ).

cnf(2408,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(a295)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1397,128]) ).

cnf(2409,negated_conjecture,
    ( hskp20
    | hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2408,127]) ).

cnf(2630,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1036,121]) ).

cnf(2631,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a295)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2630,129,theory(equality)]) ).

cnf(2717,negated_conjecture,
    ( hskp27
    | hskp3
    | c1_1(a321)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1496,69]) ).

cnf(2718,negated_conjecture,
    ( hskp27
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2717,67]) ).

cnf(2725,negated_conjecture,
    ( hskp27
    | hskp3
    | ~ hskp21
    | ~ c2_1(a336) ),
    inference(csr,[status(thm)],[1497,47]) ).

cnf(2726,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2725,1218,theory(equality)]) ).

cnf(2727,negated_conjecture,
    ( hskp27
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2726,2718]) ).

cnf(2728,negated_conjecture,
    ( hskp27
    | hskp3
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2727,1157,theory(equality)]) ).

cnf(2825,negated_conjecture,
    ( hskp14
    | hskp0
    | ~ hskp10
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[1541,91]) ).

cnf(2848,negated_conjecture,
    ( hskp14
    | c0_1(a321)
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1545,69]) ).

cnf(2881,negated_conjecture,
    ( hskp14
    | hskp0
    | ~ hskp21
    | ~ c2_1(a336) ),
    inference(csr,[status(thm)],[1546,48]) ).

cnf(2882,negated_conjecture,
    ( hskp14
    | hskp0
    | hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2881,1218,theory(equality)]) ).

cnf(2883,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2882,1157,theory(equality)]) ).

cnf(2892,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp0 ),
    inference(csr,[status(thm)],[2883,9]) ).

cnf(2960,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a310)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1649,84]) ).

cnf(2961,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2960,83]) ).

cnf(2991,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a336)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[1652,48]) ).

cnf(2994,negated_conjecture,
    ( hskp14
    | hskp0
    | hskp11
    | hskp10
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2881,2991,theory(equality)]) ).

cnf(2995,negated_conjecture,
    ( hskp14
    | hskp11
    | hskp10
    | hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2994,1157,theory(equality)]) ).

cnf(3086,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a302)
    | c2_1(a302)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1075,109,theory(equality)]) ).

cnf(3091,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a349)
    | c2_1(a349)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1075,29,theory(equality)]) ).

cnf(3227,negated_conjecture,
    ( hskp2
    | c1_1(a310)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1852,84]) ).

cnf(3236,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp2
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2065,3227,theory(equality)]) ).

cnf(3274,negated_conjecture,
    ( hskp2
    | c0_1(a321)
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1854,67]) ).

cnf(3290,negated_conjecture,
    ( hskp2
    | c1_1(a336)
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[1855,48]) ).

cnf(3291,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3290,47]) ).

cnf(3399,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a302)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3086,107]) ).

cnf(3400,negated_conjecture,
    ( hskp21
    | hskp16
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3399,108]) ).

cnf(3401,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp16
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2727,3400,theory(equality)]) ).

cnf(3406,negated_conjecture,
    ( hskp27
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3401,2718]) ).

cnf(3456,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a349)
    | c2_1(a349) ),
    inference(csr,[status(thm)],[3091,9]) ).

cnf(3457,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a349)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[28,3456,theory(equality)]) ).

cnf(3473,negated_conjecture,
    ( hskp21
    | hskp16
    | c1_1(a349) ),
    inference(csr,[status(thm)],[3457,9]) ).

cnf(3478,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp21
    | hskp16
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1352,3473,theory(equality)]) ).

cnf(3480,negated_conjecture,
    ( hskp17
    | hskp4
    | hskp21
    | hskp16
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1628,3473,theory(equality)]) ).

cnf(3490,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp21
    | hskp16 ),
    inference(csr,[status(thm)],[3478,9]) ).

cnf(3491,negated_conjecture,
    ( hskp23
    | hskp21
    | hskp16 ),
    inference(csr,[status(thm)],[3490,1222]) ).

cnf(3492,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp23
    | hskp16 ),
    inference(spm,[status(thm)],[2727,3491,theory(equality)]) ).

cnf(3497,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3 ),
    inference(csr,[status(thm)],[3492,2718]) ).

cnf(3504,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[3480,9]) ).

cnf(3505,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp17
    | hskp16
    | hskp4 ),
    inference(spm,[status(thm)],[2727,3504,theory(equality)]) ).

cnf(3510,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[3505,2718]) ).

cnf(3536,negated_conjecture,
    ( hskp21
    | hskp17
    | c2_1(a303)
    | ~ c1_1(a303)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1143,105,theory(equality)]) ).

cnf(3568,negated_conjecture,
    ( hskp21
    | hskp17
    | c2_1(a303)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3536,104]) ).

cnf(3569,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3568,103]) ).

cnf(3713,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1608,2718]) ).

cnf(3716,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | c1_1(a305)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3713,101,theory(equality)]) ).

cnf(3719,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | c1_1(a323)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3713,64,theory(equality)]) ).

cnf(3722,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | c1_1(a341)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[3713,41,theory(equality)]) ).

cnf(3759,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3716,99]) ).

cnf(3779,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp27
    | hskp11
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1740,3719,theory(equality)]) ).

cnf(3797,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | c1_1(a341) ),
    inference(csr,[status(thm)],[3722,3497]) ).

cnf(3799,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp11
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1093,3797,theory(equality)]) ).

cnf(3816,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[3799,3497]) ).

cnf(3839,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp8
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3779,3406]) ).

cnf(3840,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3839,3759]) ).

cnf(4544,negated_conjecture,
    ( c1_1(a321)
    | c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp16
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1191,69]) ).

cnf(4545,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp16
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[4544,67]) ).

cnf(4596,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp21
    | ~ c1_1(X2)
    | ~ c2_1(a336) ),
    inference(csr,[status(thm)],[1192,47]) ).

cnf(4597,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp16
    | ~ hskp21
    | ~ c1_1(X2) ),
    inference(spm,[status(thm)],[4596,1218,theory(equality)]) ).

cnf(4698,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a313) ),
    inference(csr,[status(thm)],[1901,81]) ).

cnf(4701,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp13
    | ~ c1_1(a309)
    | ~ c2_1(a313)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[4698,88,theory(equality)]) ).

cnf(4817,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp13
    | ~ hskp11
    | ~ c2_1(a313) ),
    inference(csr,[status(thm)],[4701,89]) ).

cnf(4818,negated_conjecture,
    ( ~ hskp13
    | ~ hskp11
    | ~ c2_1(a313) ),
    inference(csr,[status(thm)],[4817,87]) ).

cnf(5327,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp16
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[1902,69]) ).

cnf(5328,negated_conjecture,
    ( c2_1(a299)
    | ~ hskp16
    | ~ c1_1(a299)
    | ~ c0_1(a321)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[5327,120,theory(equality)]) ).

cnf(5329,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp16
    | ~ c1_1(a308)
    | ~ c0_1(a321)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5327,92,theory(equality)]) ).

cnf(5330,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp16
    | ~ c1_1(a309)
    | ~ c0_1(a321)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5327,88,theory(equality)]) ).

cnf(5331,negated_conjecture,
    ( c2_1(a310)
    | ~ hskp16
    | ~ c1_1(a310)
    | ~ c0_1(a321)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[5327,85,theory(equality)]) ).

cnf(5347,negated_conjecture,
    ( ~ hskp16
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[5328,119]) ).

cnf(5383,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp16
    | ~ hskp10
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[5329,93]) ).

cnf(5386,negated_conjecture,
    ( c2_1(a308)
    | hskp14
    | hskp0
    | ~ hskp16
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5383,2848,theory(equality)]) ).

cnf(5389,negated_conjecture,
    ( hskp14
    | c2_1(a308)
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[5386,2892]) ).

cnf(5390,negated_conjecture,
    ( hskp14
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[5389,2825]) ).

cnf(5415,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp16
    | ~ hskp11
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[5330,89]) ).

cnf(5416,negated_conjecture,
    ( ~ hskp16
    | ~ hskp11
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[5415,87]) ).

cnf(5420,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5416,3274,theory(equality)]) ).

cnf(5456,negated_conjecture,
    ( ~ hskp16
    | ~ hskp12
    | ~ c1_1(a310)
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[5331,83]) ).

cnf(5558,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(a321)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1287,69]) ).

cnf(5623,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp21
    | ~ c2_1(a336) ),
    inference(csr,[status(thm)],[1288,48]) ).

cnf(5624,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[5623,1218,theory(equality)]) ).

cnf(5762,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a334) ),
    inference(csr,[status(thm)],[1906,25]) ).

cnf(5763,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[5762,24]) ).

cnf(5765,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp27
    | ~ c1_1(a308)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5763,92,theory(equality)]) ).

cnf(5766,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp27
    | ~ c1_1(a309)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5763,88,theory(equality)]) ).

cnf(5843,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[5765,93]) ).

cnf(5844,negated_conjecture,
    ( hskp28
    | ~ hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1018,5843,theory(equality)]) ).

cnf(5852,negated_conjecture,
    ( c2_1(a309)
    | ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[5766,89]) ).

cnf(5853,negated_conjecture,
    ( ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[5852,87]) ).

cnf(5856,negated_conjecture,
    ( hskp3
    | ~ hskp11
    | ~ hskp16 ),
    inference(spm,[status(thm)],[5853,2718,theory(equality)]) ).

cnf(5857,negated_conjecture,
    ( hskp3
    | ~ hskp11
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5853,2728,theory(equality)]) ).

cnf(5868,negated_conjecture,
    ( hskp3
    | hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[5856,9,theory(equality)]) ).

cnf(5897,negated_conjecture,
    ( hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[5868,5857]) ).

cnf(6186,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ hskp10
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[1335,91]) ).

cnf(6750,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ hskp13
    | ~ c2_1(a313)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1374,81]) ).

cnf(6751,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp13
    | ~ c2_1(a313)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[6750,4818]) ).

cnf(6756,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | ~ c2_1(a313)
    | ~ c2_1(a323)
    | ~ c0_1(a323) ),
    inference(spm,[status(thm)],[63,6751,theory(equality)]) ).

cnf(6818,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c0_1(a321)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1375,69]) ).

cnf(6819,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp16
    | ~ c2_1(X1)
    | ~ c0_1(a321)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[6818,5416]) ).

cnf(6824,negated_conjecture,
    ( ~ hskp17
    | ~ hskp16
    | ~ c2_1(a323)
    | ~ c0_1(a321)
    | ~ c0_1(a323) ),
    inference(spm,[status(thm)],[63,6819,theory(equality)]) ).

cnf(6826,negated_conjecture,
    ( ~ hskp19
    | ~ hskp16
    | ~ c2_1(a330)
    | ~ c0_1(a321)
    | ~ c0_1(a330) ),
    inference(spm,[status(thm)],[55,6819,theory(equality)]) ).

cnf(6919,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | ~ c2_1(a313)
    | ~ c2_1(a323) ),
    inference(csr,[status(thm)],[6756,65]) ).

cnf(6920,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | ~ c2_1(a313) ),
    inference(csr,[status(thm)],[6919,64]) ).

cnf(6921,negated_conjecture,
    ( hskp16
    | ~ hskp17
    | ~ hskp13 ),
    inference(spm,[status(thm)],[6920,1217,theory(equality)]) ).

cnf(7000,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ hskp27
    | ~ c2_1(a334)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1379,25]) ).

cnf(7001,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | ~ hskp27
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[7000,24]) ).

cnf(7002,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp27
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[7001,5853]) ).

cnf(7007,negated_conjecture,
    ( ~ hskp17
    | ~ hskp27
    | ~ c2_1(a323)
    | ~ c0_1(a323) ),
    inference(spm,[status(thm)],[63,7002,theory(equality)]) ).

cnf(7117,negated_conjecture,
    ( ~ hskp27
    | ~ hskp17
    | ~ c2_1(a323) ),
    inference(csr,[status(thm)],[7007,65]) ).

cnf(7118,negated_conjecture,
    ( ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[7117,64]) ).

cnf(7131,negated_conjecture,
    ( hskp11
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[7118,3840,theory(equality)]) ).

cnf(7145,negated_conjecture,
    ( hskp3
    | ~ hskp17 ),
    inference(csr,[status(thm)],[7131,5897]) ).

cnf(7262,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ hskp10
    | ~ c1_1(X1)
    | ~ c2_1(a308)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1408,93]) ).

cnf(7264,negated_conjecture,
    ( hskp4
    | ~ hskp2
    | ~ hskp10
    | ~ c1_1(a297)
    | ~ c2_1(a308)
    | ~ c2_1(a297) ),
    inference(spm,[status(thm)],[123,7262,theory(equality)]) ).

cnf(7454,negated_conjecture,
    ( ~ hskp17
    | ~ hskp16
    | ~ c2_1(a323)
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[6824,65]) ).

cnf(7455,negated_conjecture,
    ( ~ hskp17
    | ~ hskp16
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[7454,64]) ).

cnf(7486,negated_conjecture,
    ( ~ hskp19
    | ~ hskp16
    | ~ c0_1(a321)
    | ~ c0_1(a330) ),
    inference(csr,[status(thm)],[6826,56]) ).

cnf(7714,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ hskp28
    | ~ c1_1(a353)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1417,20]) ).

cnf(7715,negated_conjecture,
    ( hskp4
    | c3_1(X1)
    | ~ hskp28
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[7714,21]) ).

cnf(7717,negated_conjecture,
    ( hskp4
    | ~ hskp2
    | ~ hskp28
    | ~ c1_1(a297)
    | ~ c2_1(a297) ),
    inference(spm,[status(thm)],[123,7715,theory(equality)]) ).

cnf(7720,negated_conjecture,
    ( hskp4
    | ~ hskp17
    | ~ hskp28
    | ~ c1_1(a323)
    | ~ c2_1(a323) ),
    inference(spm,[status(thm)],[63,7715,theory(equality)]) ).

cnf(7721,negated_conjecture,
    ( hskp4
    | ~ hskp18
    | ~ hskp28
    | ~ c1_1(a329)
    | ~ c2_1(a329) ),
    inference(spm,[status(thm)],[59,7715,theory(equality)]) ).

cnf(7763,negated_conjecture,
    ( hskp4
    | ~ hskp28
    | ~ hskp2
    | ~ c2_1(a297) ),
    inference(csr,[status(thm)],[7717,125]) ).

cnf(8020,negated_conjecture,
    ( hskp4
    | ~ hskp28
    | ~ hskp17
    | ~ c1_1(a323) ),
    inference(csr,[status(thm)],[7720,64]) ).

cnf(8021,negated_conjecture,
    ( hskp4
    | hskp16
    | hskp11
    | ~ hskp28
    | ~ hskp17 ),
    inference(spm,[status(thm)],[8020,1682,theory(equality)]) ).

cnf(8034,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp4
    | hskp27
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[8021,3816,theory(equality)]) ).

cnf(8139,negated_conjecture,
    ( hskp4
    | ~ hskp28
    | ~ hskp18
    | ~ c1_1(a329) ),
    inference(csr,[status(thm)],[7721,61]) ).

cnf(8795,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(a334)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1465,25]) ).

cnf(8796,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(a334)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[8795,5763]) ).

cnf(8797,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp27
    | ~ c1_1(a334)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[8796,7118]) ).

cnf(8802,negated_conjecture,
    ( ~ hskp7
    | ~ hskp27
    | ~ c1_1(a334)
    | ~ c1_1(a303) ),
    inference(spm,[status(thm)],[103,8797,theory(equality)]) ).

cnf(8806,negated_conjecture,
    ( ~ hskp20
    | ~ hskp27
    | ~ c1_1(a334)
    | ~ c1_1(a333) ),
    inference(spm,[status(thm)],[52,8797,theory(equality)]) ).

cnf(8903,negated_conjecture,
    ( ~ hskp27
    | ~ hskp7
    | ~ c1_1(a334) ),
    inference(csr,[status(thm)],[8802,104]) ).

cnf(9019,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp11
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[8034,3510]) ).

cnf(9020,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[9019,5897]) ).

cnf(9021,negated_conjecture,
    ( hskp27
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[9020,2718]) ).

cnf(9088,negated_conjecture,
    ( ~ hskp27
    | ~ hskp20
    | ~ c1_1(a334) ),
    inference(csr,[status(thm)],[8806,53]) ).

cnf(9089,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[9088,1980,theory(equality)]) ).

cnf(9092,negated_conjecture,
    ( hskp18
    | ~ hskp27
    | ~ hskp20 ),
    inference(csr,[status(thm)],[9089,7118]) ).

cnf(9684,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | c1_1(X1)
    | ~ hskp3
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1556,121]) ).

cnf(9685,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | c1_1(a295)
    | ~ hskp3
    | ~ c2_1(a295)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9684,129,theory(equality)]) ).

cnf(10105,negated_conjecture,
    ( hskp4
    | c1_1(a334)
    | c1_1(X1)
    | ~ hskp27
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1565,25]) ).

cnf(10114,negated_conjecture,
    ( hskp4
    | c1_1(a334)
    | ~ hskp27
    | ~ c2_1(a334) ),
    inference(spm,[status(thm)],[10105,25,theory(equality)]) ).

cnf(10129,negated_conjecture,
    ( hskp4
    | c1_1(a334)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[10114,24]) ).

cnf(10149,negated_conjecture,
    ( hskp4
    | ~ hskp27
    | ~ hskp7 ),
    inference(spm,[status(thm)],[8903,10129,theory(equality)]) ).

cnf(10151,negated_conjecture,
    ( hskp4
    | ~ hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[9088,10129,theory(equality)]) ).

cnf(10176,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp7 ),
    inference(spm,[status(thm)],[10149,9021,theory(equality)]) ).

cnf(10195,negated_conjecture,
    ( hskp4
    | hskp11
    | ~ hskp27
    | ~ hskp1 ),
    inference(spm,[status(thm)],[10151,2409,theory(equality)]) ).

cnf(10383,negated_conjecture,
    ( hskp4
    | ~ hskp27
    | ~ hskp1 ),
    inference(csr,[status(thm)],[10195,5853]) ).

cnf(10394,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[10383,9021,theory(equality)]) ).

cnf(10396,negated_conjecture,
    ( hskp4
    | hskp3
    | hskp10
    | hskp7 ),
    inference(spm,[status(thm)],[10394,13,theory(equality)]) ).

cnf(10417,negated_conjecture,
    ( hskp10
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[10396,10176]) ).

cnf(10483,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1611,119]) ).

cnf(10491,negated_conjecture,
    ( hskp14
    | c1_1(a349)
    | c2_1(a349)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[10483,29,theory(equality)]) ).

cnf(10513,negated_conjecture,
    ( hskp14
    | c1_1(X1)
    | c2_1(a308)
    | c2_1(X1)
    | ~ hskp10
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1612,93]) ).

cnf(10515,negated_conjecture,
    ( hskp14
    | c1_1(a299)
    | c2_1(a308)
    | c2_1(a299)
    | ~ hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[10513,121,theory(equality)]) ).

cnf(10521,negated_conjecture,
    ( hskp14
    | c1_1(a349)
    | c2_1(a308)
    | c2_1(a349)
    | ~ hskp10
    | ~ hskp26 ),
    inference(spm,[status(thm)],[10513,29,theory(equality)]) ).

cnf(11091,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a308)
    | c0_1(X1)
    | ~ hskp10
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1664,93]) ).

cnf(11093,negated_conjecture,
    ( hskp12
    | c2_1(a308)
    | c0_1(a297)
    | ~ hskp2
    | ~ hskp10
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[123,11091,theory(equality)]) ).

cnf(11154,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(a309)
    | c0_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1665,89]) ).

cnf(11155,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp11
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[11154,87]) ).

cnf(11156,negated_conjecture,
    ( hskp12
    | c0_1(a294)
    | ~ hskp0
    | ~ hskp11
    | ~ c1_1(a294) ),
    inference(spm,[status(thm)],[131,11155,theory(equality)]) ).

cnf(11157,negated_conjecture,
    ( hskp12
    | c0_1(a297)
    | ~ hskp2
    | ~ hskp11
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[123,11155,theory(equality)]) ).

cnf(11207,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ c1_1(a294)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[11156,133]) ).

cnf(11208,negated_conjecture,
    ( hskp12
    | c0_1(a297)
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11157,125]) ).

cnf(11209,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11208,124]) ).

cnf(11212,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11
    | ~ hskp21 ),
    inference(spm,[status(thm)],[11209,3291,theory(equality)]) ).

cnf(11215,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11
    | ~ hskp16 ),
    inference(spm,[status(thm)],[11209,5420,theory(equality)]) ).

cnf(11222,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11
    | ~ hskp26 ),
    inference(spm,[status(thm)],[11212,1157,theory(equality)]) ).

cnf(11253,negated_conjecture,
    ( hskp12
    | hskp0
    | hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[11215,9,theory(equality)]) ).

cnf(11277,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[11253,10]) ).

cnf(11278,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[11222,11277,theory(equality)]) ).

cnf(11986,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp11
    | c3_1(a323)
    | c0_1(X1)
    | ~ hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1689,65]) ).

cnf(11987,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp11
    | c0_1(X1)
    | ~ hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[11986,63]) ).

cnf(11988,negated_conjecture,
    ( hskp16
    | hskp11
    | c0_1(X1)
    | ~ hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[11987,6921]) ).

cnf(11990,negated_conjecture,
    ( hskp16
    | hskp11
    | ~ hskp2
    | ~ hskp17
    | ~ c1_1(a297)
    | ~ c2_1(a297) ),
    inference(spm,[status(thm)],[124,11988,theory(equality)]) ).

cnf(12251,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp10
    | ~ c2_1(a308)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1716,91]) ).

cnf(12262,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | ~ hskp26
    | ~ hskp10
    | ~ c2_1(a308)
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,12251,theory(equality)]) ).

cnf(12362,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a315)
    | ~ hskp14
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1718,76]) ).

cnf(12363,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp14
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[12362,75]) ).

cnf(12374,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | ~ hskp26
    | ~ hskp14
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,12363,theory(equality)]) ).

cnf(12465,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a330)
    | ~ hskp19
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1720,56]) ).

cnf(12476,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | c0_1(a330)
    | ~ hskp26
    | ~ hskp19
    | ~ c0_1(a349) ),
    inference(spm,[status(thm)],[27,12465,theory(equality)]) ).

cnf(12639,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | ~ hskp26
    | ~ hskp14 ),
    inference(csr,[status(thm)],[12374,29]) ).

cnf(12640,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp14 ),
    inference(csr,[status(thm)],[12639,28]) ).

cnf(12643,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12640,2995,theory(equality)]) ).

cnf(12657,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[12640,5390,theory(equality)]) ).

cnf(12682,negated_conjecture,
    ( hskp12
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[12657,11277]) ).

cnf(12706,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | hskp0 ),
    inference(csr,[status(thm)],[12643,10]) ).

cnf(12707,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp0 ),
    inference(csr,[status(thm)],[12706,12682]) ).

cnf(12708,negated_conjecture,
    ( hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[12707,11278]) ).

cnf(12819,negated_conjecture,
    ( hskp16
    | hskp11
    | ~ hskp17
    | ~ hskp2
    | ~ c2_1(a297) ),
    inference(csr,[status(thm)],[11990,125]) ).

cnf(13664,negated_conjecture,
    ( hskp4
    | ~ hskp10
    | ~ hskp2
    | ~ c2_1(a308)
    | ~ c2_1(a297) ),
    inference(csr,[status(thm)],[7264,125]) ).

cnf(13862,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp2
    | ~ c2_1(a297)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1822,123]) ).

cnf(13864,negated_conjecture,
    ( hskp8
    | c0_1(a297)
    | ~ hskp2
    | ~ c2_1(a297) ),
    inference(spm,[status(thm)],[123,13862,theory(equality)]) ).

cnf(13907,negated_conjecture,
    ( hskp8
    | ~ hskp2
    | ~ c2_1(a297) ),
    inference(csr,[status(thm)],[13864,124]) ).

cnf(13910,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp4
    | ~ hskp2 ),
    inference(spm,[status(thm)],[13907,2027,theory(equality)]) ).

cnf(13933,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp4
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[13910,3236,theory(equality)]) ).

cnf(13961,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[13933,12708]) ).

cnf(14775,negated_conjecture,
    ( hskp7
    | c1_1(a299)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1866,119]) ).

cnf(16997,negated_conjecture,
    ( hskp5
    | c1_1(a334)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1952,25]) ).

cnf(16998,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[16997,8797]) ).

cnf(17000,negated_conjecture,
    ( hskp5
    | c2_1(a297)
    | ~ hskp2
    | ~ hskp27
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[124,16998,theory(equality)]) ).

cnf(17147,negated_conjecture,
    ( hskp5
    | c2_1(a297)
    | ~ hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[17000,125]) ).

cnf(17157,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp5
    | ~ hskp17
    | ~ hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[12819,17147,theory(equality)]) ).

cnf(17311,negated_conjecture,
    ( hskp4
    | c1_1(a295)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1960,128]) ).

cnf(17312,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17311,127]) ).

cnf(17313,negated_conjecture,
    ( hskp4
    | c2_1(a294)
    | ~ hskp0
    | ~ c1_1(a294)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[133,17312,theory(equality)]) ).

cnf(17314,negated_conjecture,
    ( hskp4
    | c2_1(a297)
    | ~ hskp2
    | ~ c1_1(a297)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[124,17312,theory(equality)]) ).

cnf(17317,negated_conjecture,
    ( hskp4
    | c2_1(a308)
    | ~ hskp10
    | ~ c1_1(a308)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[91,17312,theory(equality)]) ).

cnf(17318,negated_conjecture,
    ( hskp4
    | c2_1(a310)
    | ~ hskp12
    | ~ c1_1(a310)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[84,17312,theory(equality)]) ).

cnf(17482,negated_conjecture,
    ( hskp4
    | ~ c1_1(a294)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[17313,132]) ).

cnf(17500,negated_conjecture,
    ( hskp4
    | c2_1(a297)
    | ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17314,125]) ).

cnf(17511,negated_conjecture,
    ( hskp4
    | ~ hskp10
    | ~ hskp2
    | ~ c2_1(a308)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13664,17500,theory(equality)]) ).

cnf(17952,negated_conjecture,
    ( hskp4
    | c2_1(a308)
    | ~ hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17317,93]) ).

cnf(17965,negated_conjecture,
    ( hskp4
    | ~ hskp10
    | ~ hskp2
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17511,17952,theory(equality)]) ).

cnf(18207,negated_conjecture,
    ( hskp4
    | ~ hskp12
    | ~ c1_1(a310)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17318,83]) ).

cnf(18208,negated_conjecture,
    ( hskp4
    | hskp16
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[18207,1173,theory(equality)]) ).

cnf(18210,negated_conjecture,
    ( hskp4
    | hskp2
    | hskp0
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[18207,3227,theory(equality)]) ).

cnf(18217,negated_conjecture,
    ( hskp4
    | hskp2
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[18210,12708]) ).

cnf(18242,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17965,18217,theory(equality)]) ).

cnf(18545,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp10
    | ~ c1_1(X1)
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[1994,91]) ).

cnf(18553,negated_conjecture,
    ( hskp3
    | c2_1(a333)
    | ~ hskp20
    | ~ hskp10
    | ~ c1_1(a333)
    | ~ c2_1(a308) ),
    inference(spm,[status(thm)],[51,18545,theory(equality)]) ).

cnf(18603,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp5
    | ~ hskp27
    | ~ hskp17 ),
    inference(csr,[status(thm)],[17157,7118]) ).

cnf(18604,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[18603,1223]) ).

cnf(18605,negated_conjecture,
    ( hskp16
    | hskp11
    | ~ hskp27 ),
    inference(csr,[status(thm)],[18604,1636]) ).

cnf(18606,negated_conjecture,
    ( hskp16
    | ~ hskp27 ),
    inference(csr,[status(thm)],[18605,5853]) ).

cnf(18610,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp26 ),
    inference(spm,[status(thm)],[18606,2728,theory(equality)]) ).

cnf(18625,negated_conjecture,
    ( hskp16
    | hskp3 ),
    inference(csr,[status(thm)],[18610,9]) ).

cnf(18759,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a321)
    | ~ c1_1(X1)
    | ~ c2_1(a321) ),
    inference(csr,[status(thm)],[1998,18625]) ).

cnf(18907,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a341)
    | ~ hskp23
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2000,41]) ).

cnf(18908,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp23
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[18907,39]) ).

cnf(18951,negated_conjecture,
    ( c2_1(X1)
    | hskp3
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[5763,18908,theory(equality)]) ).

cnf(19359,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp10
    | ~ hskp27
    | ~ hskp23
    | ~ c1_1(a308) ),
    inference(spm,[status(thm)],[1018,18951,theory(equality)]) ).

cnf(19618,negated_conjecture,
    ( c1_1(a321)
    | c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2015,69]) ).

cnf(19619,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[19618,67]) ).

cnf(19623,negated_conjecture,
    ( c1_1(a305)
    | hskp1
    | ~ hskp8
    | ~ hskp16
    | ~ c2_1(a305) ),
    inference(spm,[status(thm)],[100,19619,theory(equality)]) ).

cnf(19628,negated_conjecture,
    ( c1_1(a329)
    | hskp1
    | ~ hskp18
    | ~ hskp16
    | ~ c2_1(a329) ),
    inference(spm,[status(thm)],[60,19619,theory(equality)]) ).

cnf(19669,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp16
    | ~ hskp11
    | ~ c2_1(a321) ),
    inference(spm,[status(thm)],[5416,19619,theory(equality)]) ).

cnf(19687,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp17
    | ~ hskp16
    | ~ c2_1(a321) ),
    inference(spm,[status(thm)],[7455,19619,theory(equality)]) ).

cnf(19765,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ hskp21
    | ~ c2_1(a336)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2016,47]) ).

cnf(19775,negated_conjecture,
    ( c1_1(a336)
    | hskp1
    | ~ hskp21
    | ~ c2_1(a336) ),
    inference(spm,[status(thm)],[48,19765,theory(equality)]) ).

cnf(19892,negated_conjecture,
    ( hskp1
    | ~ hskp21
    | ~ c2_1(a336) ),
    inference(csr,[status(thm)],[19775,47]) ).

cnf(19893,negated_conjecture,
    ( hskp1
    | hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19892,1218,theory(equality)]) ).

cnf(19894,negated_conjecture,
    ( hskp1
    | hskp11
    | hskp10
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19892,2991,theory(equality)]) ).

cnf(19906,negated_conjecture,
    ( hskp16
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[19893,1157,theory(equality)]) ).

cnf(19983,negated_conjecture,
    ( hskp16
    | hskp1 ),
    inference(csr,[status(thm)],[19906,9]) ).

cnf(19997,negated_conjecture,
    ( hskp16
    | hskp4
    | ~ hskp12 ),
    inference(spm,[status(thm)],[18208,19983,theory(equality)]) ).

cnf(20160,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[19894,3569,theory(equality)]) ).

cnf(20480,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[20160,13]) ).

cnf(20661,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a308)
    | c0_1(X1)
    | hskp0
    | ~ hskp10
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2037,93]) ).

cnf(20737,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a309)
    | c0_1(X1)
    | hskp0
    | ~ hskp11
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2038,89]) ).

cnf(20738,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp11
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[20737,87]) ).

cnf(20742,negated_conjecture,
    ( c1_1(a310)
    | c0_1(a310)
    | hskp0
    | ~ hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[20738,85,theory(equality)]) ).

cnf(20744,negated_conjecture,
    ( c1_1(a321)
    | c0_1(a321)
    | hskp0
    | ~ hskp11
    | ~ hskp16 ),
    inference(spm,[status(thm)],[20738,68,theory(equality)]) ).

cnf(20745,negated_conjecture,
    ( c1_1(a336)
    | c0_1(a336)
    | hskp0
    | ~ hskp11
    | ~ hskp21 ),
    inference(spm,[status(thm)],[20738,49,theory(equality)]) ).

cnf(20816,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a310)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(a310)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2039,12708]) ).

cnf(20986,negated_conjecture,
    ( c1_1(a305)
    | hskp1
    | ~ hskp16
    | ~ hskp8 ),
    inference(csr,[status(thm)],[19623,101]) ).

cnf(20987,negated_conjecture,
    ( c1_1(a305)
    | hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[20986,19983]) ).

cnf(20988,negated_conjecture,
    ( hskp1
    | ~ hskp8 ),
    inference(csr,[status(thm)],[20987,99]) ).

cnf(21003,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[18242,20988,theory(equality)]) ).

cnf(21120,negated_conjecture,
    ( hskp4
    | hskp0
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[21003,13961,theory(equality)]) ).

cnf(21226,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp0
    | hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[21120,2961,theory(equality)]) ).

cnf(21622,negated_conjecture,
    ( hskp17
    | c1_1(a307)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp9
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2057,95]) ).

cnf(21623,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp9
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[21622,96]) ).

cnf(21634,negated_conjecture,
    ( hskp17
    | c2_1(a349)
    | ~ hskp26
    | ~ hskp9
    | ~ c1_1(a349) ),
    inference(spm,[status(thm)],[27,21623,theory(equality)]) ).

cnf(21716,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[21226,12708]) ).

cnf(21827,negated_conjecture,
    ( c1_1(a329)
    | hskp1
    | ~ hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[19628,61]) ).

cnf(21828,negated_conjecture,
    ( c1_1(a329)
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[21827,19983]) ).

cnf(21845,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[8139,21828,theory(equality)]) ).

cnf(23062,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[19669,69]) ).

cnf(23063,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[23062,19983]) ).

cnf(23064,negated_conjecture,
    ( hskp1
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[67,23063,theory(equality)]) ).

cnf(23085,negated_conjecture,
    ( hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[23064,19983]) ).

cnf(23387,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[19687,69]) ).

cnf(23388,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[23387,19983]) ).

cnf(23389,negated_conjecture,
    ( hskp1
    | ~ hskp16
    | ~ hskp17 ),
    inference(spm,[status(thm)],[67,23388,theory(equality)]) ).

cnf(23410,negated_conjecture,
    ( hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[23389,19983]) ).

cnf(23508,negated_conjecture,
    ( hskp3
    | c3_1(a297)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2134,124]) ).

cnf(23509,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[23508,123]) ).

cnf(23511,negated_conjecture,
    ( hskp3
    | c2_1(a297)
    | ~ hskp2
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[124,23509,theory(equality)]) ).

cnf(23664,negated_conjecture,
    ( hskp3
    | c2_1(a297)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[23511,125]) ).

cnf(24099,negated_conjecture,
    ( c1_1(a310)
    | c0_1(a310)
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[20742,12708]) ).

cnf(24100,negated_conjecture,
    ( c1_1(a310)
    | hskp0
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[84,24099,theory(equality)]) ).

cnf(24166,negated_conjecture,
    ( c1_1(a310)
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24100,12708]) ).

cnf(24175,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp0
    | ~ hskp12
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2065,24166,theory(equality)]) ).

cnf(24206,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[24175,21716]) ).

cnf(24207,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[24206,12708]) ).

cnf(24243,negated_conjecture,
    ( c1_1(a321)
    | hskp0
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[20744,5416]) ).

cnf(24244,negated_conjecture,
    ( hskp0
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24243,67]) ).

cnf(24245,negated_conjecture,
    ( hskp0
    | hskp26
    | ~ hskp11 ),
    inference(spm,[status(thm)],[24244,9,theory(equality)]) ).

cnf(24339,negated_conjecture,
    ( c1_1(a336)
    | hskp0
    | ~ hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[20745,48]) ).

cnf(24340,negated_conjecture,
    ( hskp0
    | ~ hskp21
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24339,47]) ).

cnf(24341,negated_conjecture,
    ( hskp0
    | ~ hskp11
    | ~ hskp26 ),
    inference(spm,[status(thm)],[24340,1157,theory(equality)]) ).

cnf(24375,negated_conjecture,
    ( hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[24341,24245]) ).

cnf(24598,negated_conjecture,
    ( c1_1(X1)
    | c2_1(a303)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2152,104]) ).

cnf(24599,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[24598,103]) ).

cnf(24605,negated_conjecture,
    ( c1_1(a310)
    | c2_1(a310)
    | hskp0
    | ~ hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[84,24599,theory(equality)]) ).

cnf(24609,negated_conjecture,
    ( c1_1(a336)
    | c2_1(a336)
    | hskp0
    | ~ hskp21
    | ~ hskp7 ),
    inference(spm,[status(thm)],[48,24599,theory(equality)]) ).

cnf(24760,negated_conjecture,
    ( hskp17
    | ~ hskp26
    | ~ hskp9
    | ~ c1_1(a349) ),
    inference(csr,[status(thm)],[21634,28]) ).

cnf(24761,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp16
    | ~ hskp26
    | ~ hskp9 ),
    inference(spm,[status(thm)],[24760,3473,theory(equality)]) ).

cnf(24763,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | ~ hskp26 ),
    inference(csr,[status(thm)],[24761,1157]) ).

cnf(24764,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16 ),
    inference(csr,[status(thm)],[24763,9]) ).

cnf(24765,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp17
    | hskp16 ),
    inference(spm,[status(thm)],[2727,24764,theory(equality)]) ).

cnf(24767,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1
    | hskp17
    | hskp16 ),
    inference(spm,[status(thm)],[19894,24764,theory(equality)]) ).

cnf(24770,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp3 ),
    inference(csr,[status(thm)],[24765,2718]) ).

cnf(24771,negated_conjecture,
    ( hskp27
    | hskp3 ),
    inference(csr,[status(thm)],[24770,7145]) ).

cnf(24939,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[24767,20480]) ).

cnf(24940,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[24939,23410]) ).

cnf(24941,negated_conjecture,
    ( hskp10
    | hskp1 ),
    inference(csr,[status(thm)],[24940,23085]) ).

cnf(25189,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2195,119]) ).

cnf(25191,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp2
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(a297) ),
    inference(spm,[status(thm)],[123,25189,theory(equality)]) ).

cnf(25197,negated_conjecture,
    ( c2_1(a333)
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(a333) ),
    inference(spm,[status(thm)],[51,25189,theory(equality)]) ).

cnf(25200,negated_conjecture,
    ( c2_1(a349)
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(a349) ),
    inference(spm,[status(thm)],[27,25189,theory(equality)]) ).

cnf(25431,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a309)
    | c2_1(X1)
    | ~ hskp11
    | ~ c1_1(X1)
    | ~ c0_1(a309) ),
    inference(csr,[status(thm)],[2265,89]) ).

cnf(25432,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | ~ hskp11
    | ~ c1_1(X1)
    | ~ c0_1(a309) ),
    inference(csr,[status(thm)],[25431,87]) ).

cnf(25433,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp0
    | ~ hskp11
    | ~ c1_1(a294)
    | ~ c0_1(a309) ),
    inference(spm,[status(thm)],[131,25432,theory(equality)]) ).

cnf(27355,negated_conjecture,
    ( c1_1(a310)
    | c2_1(a310)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[24605,12708]) ).

cnf(27356,negated_conjecture,
    ( c1_1(a310)
    | hskp0
    | ~ hskp12
    | ~ hskp7 ),
    inference(spm,[status(thm)],[83,27355,theory(equality)]) ).

cnf(27363,negated_conjecture,
    ( c1_1(a310)
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[27356,12708]) ).

cnf(27390,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp12
    | ~ hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[18207,27363,theory(equality)]) ).

cnf(27431,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[27390,24207]) ).

cnf(27432,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[27431,12708]) ).

cnf(27680,negated_conjecture,
    ( c2_1(a336)
    | hskp0
    | ~ hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[24609,47]) ).

cnf(27688,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp21
    | ~ hskp7 ),
    inference(spm,[status(thm)],[19892,27680,theory(equality)]) ).

cnf(27700,negated_conjecture,
    ( hskp1
    | hskp0
    | hskp17
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27688,3569,theory(equality)]) ).

cnf(27752,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp7 ),
    inference(csr,[status(thm)],[27700,23410]) ).

cnf(27769,negated_conjecture,
    ( hskp4
    | hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27432,27752,theory(equality)]) ).

cnf(27770,negated_conjecture,
    ( hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[27769,24207]) ).

cnf(28106,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp3
    | ~ hskp2
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[25191,125]) ).

cnf(28107,negated_conjecture,
    ( c2_1(a297)
    | ~ hskp2
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[28106,23664]) ).

cnf(28113,negated_conjecture,
    ( hskp4
    | ~ hskp28
    | ~ hskp2
    | ~ c1_1(a299) ),
    inference(spm,[status(thm)],[7763,28107,theory(equality)]) ).

cnf(28203,negated_conjecture,
    ( hskp4
    | hskp16
    | ~ hskp28
    | ~ hskp2
    | ~ hskp3 ),
    inference(spm,[status(thm)],[28113,1158,theory(equality)]) ).

cnf(28289,negated_conjecture,
    ( hskp16
    | hskp4
    | ~ hskp28
    | ~ hskp2 ),
    inference(csr,[status(thm)],[28203,18625]) ).

cnf(28711,negated_conjecture,
    ( c1_1(a295)
    | c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2631,128]) ).

cnf(28712,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[28711,127]) ).

cnf(28893,negated_conjecture,
    ( c2_1(a333)
    | ~ hskp20
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[25197,53]) ).

cnf(28894,negated_conjecture,
    ( ~ hskp20
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[28893,52]) ).

cnf(29517,negated_conjecture,
    ( ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c1_1(a349) ),
    inference(csr,[status(thm)],[25200,28]) ).

cnf(29518,negated_conjecture,
    ( hskp21
    | hskp16
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(spm,[status(thm)],[29517,3473,theory(equality)]) ).

cnf(29521,negated_conjecture,
    ( hskp21
    | hskp16
    | ~ hskp26
    | ~ hskp3 ),
    inference(csr,[status(thm)],[29518,1157]) ).

cnf(29522,negated_conjecture,
    ( hskp21
    | hskp16
    | ~ hskp26 ),
    inference(csr,[status(thm)],[29521,1157]) ).

cnf(29523,negated_conjecture,
    ( hskp21
    | hskp16 ),
    inference(csr,[status(thm)],[29522,9]) ).

cnf(29590,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp11
    | ~ c1_1(a294)
    | ~ c0_1(a309) ),
    inference(csr,[status(thm)],[25433,24375]) ).

cnf(33073,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp27
    | ~ hskp23
    | ~ hskp10 ),
    inference(csr,[status(thm)],[19359,5844]) ).

cnf(33074,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[33073,5844]) ).

cnf(33075,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[33074,24771]) ).

cnf(33087,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp3
    | ~ hskp18
    | ~ hskp10 ),
    inference(spm,[status(thm)],[21845,33075,theory(equality)]) ).

cnf(33134,negated_conjecture,
    ( hskp4
    | hskp3
    | hskp1
    | ~ hskp18 ),
    inference(csr,[status(thm)],[33087,10417]) ).

cnf(33135,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[33134,10394]) ).

cnf(33144,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[33135,9092,theory(equality)]) ).

cnf(33204,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[33144,24771]) ).

cnf(38963,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | c1_1(a295)
    | ~ hskp3
    | ~ hskp1 ),
    inference(csr,[status(thm)],[9685,128]) ).

cnf(38964,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | c1_1(a295)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[38963,10394]) ).

cnf(38965,negated_conjecture,
    ( hskp4
    | c1_1(a299)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[38964,127]) ).

cnf(38995,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[28894,38965,theory(equality)]) ).

cnf(39044,negated_conjecture,
    ( hskp4
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[38995,33204]) ).

cnf(39045,negated_conjecture,
    ( hskp4
    | hskp11
    | ~ hskp1 ),
    inference(spm,[status(thm)],[39044,2409,theory(equality)]) ).

cnf(40570,negated_conjecture,
    ( hskp14
    | c1_1(a349)
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[10491,28]) ).

cnf(40571,negated_conjecture,
    ( hskp14
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[40570,29517]) ).

cnf(40572,negated_conjecture,
    ( hskp14
    | hskp16
    | ~ hskp26
    | ~ hskp3 ),
    inference(spm,[status(thm)],[40571,1158,theory(equality)]) ).

cnf(40578,negated_conjecture,
    ( hskp16
    | hskp14
    | ~ hskp26 ),
    inference(csr,[status(thm)],[40572,18625]) ).

cnf(40579,negated_conjecture,
    ( hskp16
    | hskp14 ),
    inference(csr,[status(thm)],[40578,9]) ).

cnf(40582,negated_conjecture,
    ( hskp12
    | hskp16
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12640,40579,theory(equality)]) ).

cnf(40586,negated_conjecture,
    ( hskp16
    | hskp12 ),
    inference(csr,[status(thm)],[40582,9]) ).

cnf(40786,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[4597,29523]) ).

cnf(40787,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[40786,4545]) ).

cnf(40790,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a308)
    | c2_1(X1)
    | c0_1(a308)
    | c0_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[40787,93,theory(equality)]) ).

cnf(40791,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a309)
    | c2_1(X1)
    | c0_1(a309)
    | c0_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[40787,89,theory(equality)]) ).

cnf(41083,negated_conjecture,
    ( hskp14
    | c1_1(a299)
    | c2_1(a308)
    | ~ hskp10
    | ~ hskp3 ),
    inference(csr,[status(thm)],[10515,119]) ).

cnf(42249,negated_conjecture,
    ( hskp14
    | c1_1(a349)
    | c2_1(a308)
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[10521,28]) ).

cnf(44093,negated_conjecture,
    ( hskp12
    | c2_1(a308)
    | c0_1(a297)
    | ~ hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[11093,125]) ).

cnf(44094,negated_conjecture,
    ( hskp12
    | c2_1(a308)
    | ~ hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[44093,124]) ).

cnf(44095,negated_conjecture,
    ( hskp28
    | hskp12
    | ~ hskp10
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1018,44094,theory(equality)]) ).

cnf(44124,negated_conjecture,
    ( hskp16
    | hskp4
    | hskp12
    | ~ hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[28289,44095,theory(equality)]) ).

cnf(44152,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[44124,40586]) ).

cnf(44153,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[44152,40586]) ).

cnf(44154,negated_conjecture,
    ( hskp16
    | hskp4 ),
    inference(csr,[status(thm)],[44153,19997]) ).

cnf(47456,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | ~ hskp26
    | ~ hskp10
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[12262,29]) ).

cnf(47457,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp10
    | ~ c2_1(a308) ),
    inference(csr,[status(thm)],[47456,28]) ).

cnf(47465,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[47457,5843,theory(equality)]) ).

cnf(47477,negated_conjecture,
    ( hskp12
    | hskp14
    | c1_1(a299)
    | ~ hskp26
    | ~ hskp10
    | ~ hskp3 ),
    inference(spm,[status(thm)],[47457,41083,theory(equality)]) ).

cnf(47481,negated_conjecture,
    ( hskp12
    | hskp14
    | c1_1(a349)
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[47457,42249,theory(equality)]) ).

cnf(47492,negated_conjecture,
    ( hskp12
    | hskp3
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[47465,24771,theory(equality)]) ).

cnf(47764,negated_conjecture,
    ( hskp12
    | c1_1(a349)
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[47481,12640]) ).

cnf(47796,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[29517,47764,theory(equality)]) ).

cnf(47899,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp10
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[47796,47492]) ).

cnf(48247,negated_conjecture,
    ( hskp14
    | hskp12
    | c1_1(a299)
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[47477,47492]) ).

cnf(48248,negated_conjecture,
    ( hskp14
    | hskp12
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[48247,47899]) ).

cnf(48249,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[48248,12640]) ).

cnf(49005,negated_conjecture,
    ( hskp12
    | c2_1(a349)
    | c0_1(a330)
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[12476,29]) ).

cnf(49006,negated_conjecture,
    ( hskp12
    | c0_1(a330)
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[49005,28]) ).

cnf(49042,negated_conjecture,
    ( hskp12
    | ~ hskp19
    | ~ hskp16
    | ~ c0_1(a321)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[7486,49006,theory(equality)]) ).

cnf(49454,negated_conjecture,
    ( hskp12
    | ~ hskp26
    | ~ hskp19
    | ~ c0_1(a321) ),
    inference(csr,[status(thm)],[49042,40586]) ).

cnf(49573,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(csr,[status(thm)],[5624,29523]) ).

cnf(49574,negated_conjecture,
    ( hskp16
    | c1_1(X3)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3) ),
    inference(ef,[status(thm)],[49573,theory(equality)]) ).

cnf(49695,negated_conjecture,
    ( hskp16
    | c1_1(X3)
    | c2_1(X3)
    | c0_1(X3) ),
    inference(csr,[status(thm)],[49574,944]) ).

cnf(49698,negated_conjecture,
    ( hskp16
    | c1_1(a300)
    | c2_1(a300)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[117,49695,theory(equality)]) ).

cnf(50066,negated_conjecture,
    ( hskp16
    | c1_1(a300)
    | c2_1(a300) ),
    inference(csr,[status(thm)],[49698,44154]) ).

cnf(50067,negated_conjecture,
    ( hskp16
    | c1_1(a300)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[115,50066,theory(equality)]) ).

cnf(50077,negated_conjecture,
    ( hskp16
    | c1_1(a300) ),
    inference(csr,[status(thm)],[50067,44154]) ).

cnf(50078,negated_conjecture,
    ( hskp16
    | ~ hskp4 ),
    inference(spm,[status(thm)],[116,50077,theory(equality)]) ).

cnf(50116,negated_conjecture,
    hskp16,
    inference(csr,[status(thm)],[50078,44154]) ).

cnf(50155,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c0_1(X1)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[19619,50116,theory(equality)]) ).

cnf(50156,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[50155,theory(equality)]) ).

cnf(50188,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(a321)
    | c0_1(X1)
    | c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[5558,50116,theory(equality)]) ).

cnf(50189,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(a321)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cn,[status(thm)],[50188,theory(equality)]) ).

cnf(50194,negated_conjecture,
    ( $false
    | ~ hskp12
    | ~ c1_1(a310)
    | ~ c0_1(a321) ),
    inference(rw,[status(thm)],[5456,50116,theory(equality)]) ).

cnf(50195,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a310)
    | ~ c0_1(a321) ),
    inference(cn,[status(thm)],[50194,theory(equality)]) ).

cnf(50196,negated_conjecture,
    ( $false
    | ~ hskp11
    | ~ c0_1(a321) ),
    inference(rw,[status(thm)],[5416,50116,theory(equality)]) ).

cnf(50197,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a321) ),
    inference(cn,[status(thm)],[50196,theory(equality)]) ).

cnf(50202,negated_conjecture,
    ( c2_1(a308)
    | $false
    | ~ hskp10
    | ~ c0_1(a321) ),
    inference(rw,[status(thm)],[5383,50116,theory(equality)]) ).

cnf(50203,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp10
    | ~ c0_1(a321) ),
    inference(cn,[status(thm)],[50202,theory(equality)]) ).

cnf(50206,negated_conjecture,
    ( $false
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c0_1(a321) ),
    inference(rw,[status(thm)],[5347,50116,theory(equality)]) ).

cnf(50207,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a299)
    | ~ c0_1(a321) ),
    inference(cn,[status(thm)],[50206,theory(equality)]) ).

cnf(50220,negated_conjecture,
    ( $false
    | ~ c1_1(a321) ),
    inference(rw,[status(thm)],[67,50116,theory(equality)]) ).

cnf(50221,negated_conjecture,
    ~ c1_1(a321),
    inference(cn,[status(thm)],[50220,theory(equality)]) ).

cnf(50222,negated_conjecture,
    ( c3_1(a321)
    | $false ),
    inference(rw,[status(thm)],[68,50116,theory(equality)]) ).

cnf(50223,negated_conjecture,
    c3_1(a321),
    inference(cn,[status(thm)],[50222,theory(equality)]) ).

cnf(50224,negated_conjecture,
    ( c2_1(a321)
    | $false ),
    inference(rw,[status(thm)],[69,50116,theory(equality)]) ).

cnf(50225,negated_conjecture,
    c2_1(a321),
    inference(cn,[status(thm)],[50224,theory(equality)]) ).

cnf(50258,negated_conjecture,
    ( c1_1(a321)
    | c2_1(a308)
    | c0_1(a321)
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[20661,50223,theory(equality)]) ).

cnf(50259,negated_conjecture,
    ( c1_1(a321)
    | c2_1(a310)
    | c0_1(a321)
    | hskp0
    | ~ c1_1(a310) ),
    inference(spm,[status(thm)],[20816,50223,theory(equality)]) ).

cnf(50278,negated_conjecture,
    ( c2_1(a308)
    | c0_1(a321)
    | hskp0
    | ~ hskp10 ),
    inference(sr,[status(thm)],[50258,50221,theory(equality)]) ).

cnf(50279,negated_conjecture,
    ( c2_1(a310)
    | c0_1(a321)
    | hskp0
    | ~ c1_1(a310) ),
    inference(sr,[status(thm)],[50259,50221,theory(equality)]) ).

cnf(50306,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a321)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[18759,50225,theory(equality)]) ).

cnf(50307,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a321)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[50306,theory(equality)]) ).

cnf(51104,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[912,50156,theory(equality)]) ).

cnf(51107,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[916,50156,theory(equality)]) ).

cnf(51108,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(X1)
    | hskp1
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[918,50156,theory(equality)]) ).

cnf(51235,negated_conjecture,
    ( c2_1(a308)
    | c1_1(a321)
    | hskp1
    | ~ hskp10
    | ~ c2_1(a321) ),
    inference(spm,[status(thm)],[50203,50156,theory(equality)]) ).

cnf(51263,negated_conjecture,
    ( c2_1(a308)
    | c1_1(a321)
    | hskp1
    | ~ hskp10
    | $false ),
    inference(rw,[status(thm)],[51235,50225,theory(equality)]) ).

cnf(51264,negated_conjecture,
    ( c2_1(a308)
    | c1_1(a321)
    | hskp1
    | ~ hskp10 ),
    inference(cn,[status(thm)],[51263,theory(equality)]) ).

cnf(51265,negated_conjecture,
    ( c2_1(a308)
    | hskp1
    | ~ hskp10 ),
    inference(sr,[status(thm)],[51264,50221,theory(equality)]) ).

cnf(51267,negated_conjecture,
    ( hskp1
    | c2_1(a308) ),
    inference(csr,[status(thm)],[51265,24941]) ).

cnf(51268,negated_conjecture,
    ( hskp28
    | hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1018,51267,theory(equality)]) ).

cnf(51282,negated_conjecture,
    ( hskp28
    | hskp1 ),
    inference(csr,[status(thm)],[51268,24941]) ).

cnf(51292,negated_conjecture,
    ( hskp4
    | hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[21845,51282,theory(equality)]) ).

cnf(51768,negated_conjecture,
    ( c1_1(X3)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(a321)
    | c0_1(X3) ),
    inference(ef,[status(thm)],[50189,theory(equality)]) ).

cnf(51895,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ c2_1(a321) ),
    inference(spm,[status(thm)],[50207,50156,theory(equality)]) ).

cnf(51921,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp3
    | ~ c1_1(a299)
    | $false ),
    inference(rw,[status(thm)],[51895,50225,theory(equality)]) ).

cnf(51922,negated_conjecture,
    ( c1_1(a321)
    | hskp1
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(cn,[status(thm)],[51921,theory(equality)]) ).

cnf(51923,negated_conjecture,
    ( hskp1
    | ~ hskp3
    | ~ c1_1(a299) ),
    inference(sr,[status(thm)],[51922,50221,theory(equality)]) ).

cnf(52099,negated_conjecture,
    ( c2_1(X1)
    | hskp3
    | c0_1(a321)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[5763,50307,theory(equality)]) ).

cnf(52251,negated_conjecture,
    ( c2_1(a308)
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[50278,50203]) ).

cnf(52681,negated_conjecture,
    ( c2_1(a310)
    | hskp0
    | ~ hskp12
    | ~ c1_1(a310) ),
    inference(spm,[status(thm)],[50195,50279,theory(equality)]) ).

cnf(52852,negated_conjecture,
    ( c2_1(a310)
    | hskp0
    | ~ c1_1(a310) ),
    inference(csr,[status(thm)],[52681,12708]) ).

cnf(52853,negated_conjecture,
    ( hskp0
    | ~ hskp12
    | ~ c1_1(a310) ),
    inference(spm,[status(thm)],[83,52852,theory(equality)]) ).

cnf(52862,negated_conjecture,
    ( hskp0
    | ~ c1_1(a310) ),
    inference(csr,[status(thm)],[52853,12708]) ).

cnf(52864,negated_conjecture,
    ( hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[52862,27363,theory(equality)]) ).

cnf(53958,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[51104,1844]) ).

cnf(53959,negated_conjecture,
    ( hskp18
    | hskp17
    | c1_1(a321) ),
    inference(spm,[status(thm)],[53958,50225,theory(equality)]) ).

cnf(54031,negated_conjecture,
    ( hskp18
    | hskp17 ),
    inference(sr,[status(thm)],[53959,50221,theory(equality)]) ).

cnf(54052,negated_conjecture,
    ( hskp4
    | hskp1
    | hskp17 ),
    inference(spm,[status(thm)],[51292,54031,theory(equality)]) ).

cnf(54054,negated_conjecture,
    ( hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[54052,23410]) ).

cnf(54063,negated_conjecture,
    ( hskp11
    | hskp4 ),
    inference(spm,[status(thm)],[39045,54054,theory(equality)]) ).

cnf(54251,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[51107,2076]) ).

cnf(54252,negated_conjecture,
    ( hskp19
    | hskp12
    | c1_1(a321) ),
    inference(spm,[status(thm)],[54251,50225,theory(equality)]) ).

cnf(54322,negated_conjecture,
    ( hskp19
    | hskp12 ),
    inference(sr,[status(thm)],[54252,50221,theory(equality)]) ).

cnf(55311,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[51108,2409]) ).

cnf(55312,negated_conjecture,
    ( hskp20
    | hskp11
    | c1_1(a321) ),
    inference(spm,[status(thm)],[55311,50225,theory(equality)]) ).

cnf(55384,negated_conjecture,
    ( hskp20
    | hskp11 ),
    inference(sr,[status(thm)],[55312,50221,theory(equality)]) ).

cnf(56159,negated_conjecture,
    ( c1_1(a294)
    | c2_1(a294)
    | c0_1(a321)
    | c0_1(a294)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[131,51768,theory(equality)]) ).

cnf(56182,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | c0_1(a321) ),
    inference(spm,[status(thm)],[928,51768,theory(equality)]) ).

cnf(56207,negated_conjecture,
    ( c1_1(a294)
    | c2_1(a294)
    | c0_1(a321)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[56159,133]) ).

cnf(56208,negated_conjecture,
    ( c1_1(a294)
    | c0_1(a321)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[56207,132]) ).

cnf(56284,negated_conjecture,
    ( c1_1(a294)
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[50197,56208,theory(equality)]) ).

cnf(56481,negated_conjecture,
    ( c1_1(a294)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[56284,24375]) ).

cnf(56500,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[11207,56481,theory(equality)]) ).

cnf(56505,negated_conjecture,
    ( hskp4
    | ~ hskp1
    | ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[17482,56481,theory(equality)]) ).

cnf(56544,negated_conjecture,
    ( hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[56500,12708]) ).

cnf(56627,negated_conjecture,
    ( hskp4
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[56505,54063]) ).

cnf(56628,negated_conjecture,
    ( hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[56627,27770]) ).

cnf(56629,negated_conjecture,
    hskp4,
    inference(csr,[status(thm)],[56628,54054]) ).

cnf(56820,negated_conjecture,
    ( $false
    | ~ c1_1(a300) ),
    inference(rw,[status(thm)],[116,56629,theory(equality)]) ).

cnf(56821,negated_conjecture,
    ~ c1_1(a300),
    inference(cn,[status(thm)],[56820,theory(equality)]) ).

cnf(56822,negated_conjecture,
    ( $false
    | ~ c2_1(a300) ),
    inference(rw,[status(thm)],[115,56629,theory(equality)]) ).

cnf(56823,negated_conjecture,
    ~ c2_1(a300),
    inference(cn,[status(thm)],[56822,theory(equality)]) ).

cnf(56824,negated_conjecture,
    ( $false
    | ~ c0_1(a300) ),
    inference(rw,[status(thm)],[117,56629,theory(equality)]) ).

cnf(56825,negated_conjecture,
    ~ c0_1(a300),
    inference(cn,[status(thm)],[56824,theory(equality)]) ).

cnf(56841,negated_conjecture,
    ( c1_1(a300)
    | c2_1(a300)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[56825,28712,theory(equality)]) ).

cnf(56856,negated_conjecture,
    ( c2_1(a300)
    | ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp1 ),
    inference(sr,[status(thm)],[56841,56821,theory(equality)]) ).

cnf(56857,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a299)
    | ~ hskp1 ),
    inference(sr,[status(thm)],[56856,56823,theory(equality)]) ).

cnf(56923,negated_conjecture,
    ( ~ hskp3
    | ~ c1_1(a299) ),
    inference(csr,[status(thm)],[56857,51923]) ).

cnf(61742,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c0_1(a321)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[52099,24771]) ).

cnf(61745,negated_conjecture,
    ( hskp3
    | c2_1(a308)
    | c0_1(a321)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[61742,93,theory(equality)]) ).

cnf(61967,negated_conjecture,
    ( hskp3
    | c2_1(a308)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[61745,50203]) ).

cnf(62989,negated_conjecture,
    ( hskp11
    | hskp10
    | c1_1(a300)
    | c2_1(a300)
    | c0_1(a321) ),
    inference(spm,[status(thm)],[56825,56182,theory(equality)]) ).

cnf(63158,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a300)
    | c0_1(a321) ),
    inference(sr,[status(thm)],[62989,56821,theory(equality)]) ).

cnf(63159,negated_conjecture,
    ( hskp11
    | hskp10
    | c0_1(a321) ),
    inference(sr,[status(thm)],[63158,56823,theory(equality)]) ).

cnf(63274,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | ~ hskp26
    | ~ hskp19 ),
    inference(spm,[status(thm)],[49454,63159,theory(equality)]) ).

cnf(63475,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10
    | ~ hskp26 ),
    inference(csr,[status(thm)],[63274,54322]) ).

cnf(63476,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp10 ),
    inference(csr,[status(thm)],[63475,10]) ).

cnf(63477,negated_conjecture,
    ( hskp12
    | hskp10 ),
    inference(csr,[status(thm)],[63476,56544]) ).

cnf(63483,negated_conjecture,
    ( hskp12
    | ~ hskp26 ),
    inference(spm,[status(thm)],[48249,63477,theory(equality)]) ).

cnf(63542,negated_conjecture,
    ( hskp12
    | hskp11 ),
    inference(spm,[status(thm)],[63483,10,theory(equality)]) ).

cnf(63543,negated_conjecture,
    hskp12,
    inference(csr,[status(thm)],[63542,56544]) ).

cnf(63709,negated_conjecture,
    ( $false
    | ~ c2_1(a310) ),
    inference(rw,[status(thm)],[83,63543,theory(equality)]) ).

cnf(63710,negated_conjecture,
    ~ c2_1(a310),
    inference(cn,[status(thm)],[63709,theory(equality)]) ).

cnf(63711,negated_conjecture,
    ( $false
    | ~ c0_1(a310) ),
    inference(rw,[status(thm)],[84,63543,theory(equality)]) ).

cnf(63712,negated_conjecture,
    ~ c0_1(a310),
    inference(cn,[status(thm)],[63711,theory(equality)]) ).

cnf(63713,negated_conjecture,
    ( c3_1(a310)
    | $false ),
    inference(rw,[status(thm)],[85,63543,theory(equality)]) ).

cnf(63714,negated_conjecture,
    c3_1(a310),
    inference(cn,[status(thm)],[63713,theory(equality)]) ).

cnf(63749,negated_conjecture,
    ( hskp11
    | hskp10
    | c2_1(a310)
    | c0_1(a310) ),
    inference(spm,[status(thm)],[928,63714,theory(equality)]) ).

cnf(63772,negated_conjecture,
    ( hskp11
    | hskp10
    | c0_1(a310) ),
    inference(sr,[status(thm)],[63749,63710,theory(equality)]) ).

cnf(63773,negated_conjecture,
    ( hskp11
    | hskp10 ),
    inference(sr,[status(thm)],[63772,63712,theory(equality)]) ).

cnf(69073,negated_conjecture,
    ( hskp3
    | c2_1(a333)
    | ~ hskp20
    | ~ hskp10
    | ~ c1_1(a333) ),
    inference(csr,[status(thm)],[18553,61967]) ).

cnf(69074,negated_conjecture,
    ( hskp3
    | c2_1(a333)
    | ~ hskp20
    | ~ hskp10 ),
    inference(csr,[status(thm)],[69073,53]) ).

cnf(69075,negated_conjecture,
    ( hskp3
    | ~ hskp20
    | ~ hskp10 ),
    inference(csr,[status(thm)],[69074,52]) ).

cnf(69080,negated_conjecture,
    ( hskp3
    | hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[69075,55384,theory(equality)]) ).

cnf(69082,negated_conjecture,
    ( hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[69080,63773]) ).

cnf(69083,negated_conjecture,
    hskp3,
    inference(csr,[status(thm)],[69082,5897]) ).

cnf(69118,negated_conjecture,
    ( $false
    | ~ c1_1(a299) ),
    inference(rw,[status(thm)],[56923,69083,theory(equality)]) ).

cnf(69119,negated_conjecture,
    ~ c1_1(a299),
    inference(cn,[status(thm)],[69118,theory(equality)]) ).

cnf(69158,negated_conjecture,
    ( hskp7
    | c1_1(a299)
    | c2_1(X1)
    | $false
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[14775,69083,theory(equality)]) ).

cnf(69159,negated_conjecture,
    ( hskp7
    | c1_1(a299)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[69158,theory(equality)]) ).

cnf(69537,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(sr,[status(thm)],[69159,69119,theory(equality)]) ).

cnf(80549,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a308)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[40790,91]) ).

cnf(80550,negated_conjecture,
    ( c2_1(a308)
    | c2_1(a294)
    | c0_1(a294)
    | ~ hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[131,80549,theory(equality)]) ).

cnf(80582,negated_conjecture,
    ( c2_1(a308)
    | c2_1(a294)
    | c0_1(a294)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[80550,52251]) ).

cnf(80583,negated_conjecture,
    ( c2_1(a294)
    | c2_1(a308)
    | ~ hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[133,80582,theory(equality)]) ).

cnf(80642,negated_conjecture,
    ( c2_1(a294)
    | c2_1(a308)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[80583,52251]) ).

cnf(80643,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[132,80642,theory(equality)]) ).

cnf(80656,negated_conjecture,
    ( c2_1(a308)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[80643,52251]) ).

cnf(80712,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c0_1(a309)
    | c0_1(X1)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[40791,87]) ).

cnf(80713,negated_conjecture,
    ( c2_1(a294)
    | c0_1(a309)
    | c0_1(a294)
    | ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[131,80712,theory(equality)]) ).

cnf(80759,negated_conjecture,
    ( c2_1(a294)
    | c0_1(a309)
    | c0_1(a294)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[80713,24375]) ).

cnf(80760,negated_conjecture,
    ( c2_1(a294)
    | c0_1(a309)
    | ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[133,80759,theory(equality)]) ).

cnf(80817,negated_conjecture,
    ( c2_1(a294)
    | c0_1(a309)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[80760,24375]) ).

cnf(80837,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp11
    | ~ c1_1(a294) ),
    inference(spm,[status(thm)],[29590,80817,theory(equality)]) ).

cnf(80905,negated_conjecture,
    ( c2_1(a294)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[80837,56481]) ).

cnf(80906,negated_conjecture,
    ( ~ hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[132,80905,theory(equality)]) ).

cnf(80923,negated_conjecture,
    ~ hskp11,
    inference(csr,[status(thm)],[80906,24375]) ).

cnf(80924,negated_conjecture,
    hskp20,
    inference(sr,[status(thm)],[55384,80923,theory(equality)]) ).

cnf(80925,negated_conjecture,
    hskp10,
    inference(sr,[status(thm)],[63773,80923,theory(equality)]) ).

cnf(80996,negated_conjecture,
    ( $false
    | ~ c3_1(a333) ),
    inference(rw,[status(thm)],[51,80924,theory(equality)]) ).

cnf(80997,negated_conjecture,
    ~ c3_1(a333),
    inference(cn,[status(thm)],[80996,theory(equality)]) ).

cnf(80998,negated_conjecture,
    ( $false
    | ~ c2_1(a333) ),
    inference(rw,[status(thm)],[52,80924,theory(equality)]) ).

cnf(80999,negated_conjecture,
    ~ c2_1(a333),
    inference(cn,[status(thm)],[80998,theory(equality)]) ).

cnf(81000,negated_conjecture,
    ( c1_1(a333)
    | $false ),
    inference(rw,[status(thm)],[53,80924,theory(equality)]) ).

cnf(81001,negated_conjecture,
    c1_1(a333),
    inference(cn,[status(thm)],[81000,theory(equality)]) ).

cnf(81004,negated_conjecture,
    ( c2_1(a308)
    | $false ),
    inference(rw,[status(thm)],[80656,80925,theory(equality)]) ).

cnf(81005,negated_conjecture,
    c2_1(a308),
    inference(cn,[status(thm)],[81004,theory(equality)]) ).

cnf(81042,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | $false
    | ~ c2_1(a308) ),
    inference(rw,[status(thm)],[6186,80925,theory(equality)]) ).

cnf(81043,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(a308) ),
    inference(cn,[status(thm)],[81042,theory(equality)]) ).

cnf(82469,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[81043,81005,theory(equality)]) ).

cnf(82470,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | c0_1(X2) ),
    inference(cn,[status(thm)],[82469,theory(equality)]) ).

cnf(82471,negated_conjecture,
    ( c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1) ),
    inference(csr,[status(thm)],[82470,40787]) ).

cnf(82472,negated_conjecture,
    ( c2_1(a333)
    | c2_1(X1)
    | c0_1(a333)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[80997,82471,theory(equality)]) ).

cnf(82534,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a333)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[82472,80999,theory(equality)]) ).

cnf(82542,negated_conjecture,
    ( c2_1(a333)
    | c0_1(a333) ),
    inference(ef,[status(thm)],[82534,theory(equality)]) ).

cnf(82618,negated_conjecture,
    c0_1(a333),
    inference(sr,[status(thm)],[82542,80999,theory(equality)]) ).

cnf(82719,negated_conjecture,
    ( hskp7
    | c2_1(a333)
    | ~ c1_1(a333) ),
    inference(spm,[status(thm)],[69537,82618,theory(equality)]) ).

cnf(82790,negated_conjecture,
    ( hskp7
    | c2_1(a333)
    | $false ),
    inference(rw,[status(thm)],[82719,81001,theory(equality)]) ).

cnf(82791,negated_conjecture,
    ( hskp7
    | c2_1(a333) ),
    inference(cn,[status(thm)],[82790,theory(equality)]) ).

cnf(82792,negated_conjecture,
    hskp7,
    inference(sr,[status(thm)],[82791,80999,theory(equality)]) ).

cnf(82928,negated_conjecture,
    ( hskp0
    | $false ),
    inference(rw,[status(thm)],[52864,82792,theory(equality)]) ).

cnf(82929,negated_conjecture,
    hskp0,
    inference(cn,[status(thm)],[82928,theory(equality)]) ).

cnf(82967,negated_conjecture,
    ( ~ c3_1(a294)
    | $false ),
    inference(rw,[status(thm)],[131,82929,theory(equality)]) ).

cnf(82968,negated_conjecture,
    ~ c3_1(a294),
    inference(cn,[status(thm)],[82967,theory(equality)]) ).

cnf(82969,negated_conjecture,
    ( ~ c2_1(a294)
    | $false ),
    inference(rw,[status(thm)],[132,82929,theory(equality)]) ).

cnf(82970,negated_conjecture,
    ~ c2_1(a294),
    inference(cn,[status(thm)],[82969,theory(equality)]) ).

cnf(82971,negated_conjecture,
    ( ~ c0_1(a294)
    | $false ),
    inference(rw,[status(thm)],[133,82929,theory(equality)]) ).

cnf(82972,negated_conjecture,
    ~ c0_1(a294),
    inference(cn,[status(thm)],[82971,theory(equality)]) ).

cnf(83079,negated_conjecture,
    ( c2_1(a294)
    | c2_1(X1)
    | c0_1(a294)
    | c0_1(X1) ),
    inference(spm,[status(thm)],[82968,82471,theory(equality)]) ).

cnf(84362,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a294)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[83079,82970,theory(equality)]) ).

cnf(84363,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[84362,82972,theory(equality)]) ).

cnf(84364,negated_conjecture,
    c2_1(a300),
    inference(spm,[status(thm)],[56825,84363,theory(equality)]) ).

cnf(84395,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[84364,56823,theory(equality)]) ).

cnf(84396,negated_conjecture,
    $false,
    84395,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN445+1.p
% --creating new selector for []
% -running prover on /tmp/tmpWOPInY/sel_SYN445+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN445+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN445+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN445+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
% 
%------------------------------------------------------------------------------