TSTP Solution File: SYN469+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN469+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art11.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory   : 2006MB
% OS       : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 13:43:43 EST 2010

% Result   : Theorem 11.70s
% Output   : CNFRefutation 11.70s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 1741

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a400)
          & c2_1(a400)
          & ~ c3_1(a400) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a401)
          & c1_1(a401)
          & ~ c3_1(a401) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a402)
          & ~ c1_1(a402)
          & ~ c2_1(a402) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a403)
          & ~ c2_1(a403)
          & ~ c3_1(a403) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a404)
          & c3_1(a404)
          & ~ c2_1(a404) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a408)
          & c3_1(a408)
          & ~ c0_1(a408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a409)
          & ~ c0_1(a409)
          & ~ c3_1(a409) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a410)
          & ~ c1_1(a410)
          & ~ c3_1(a410) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a415)
          & c3_1(a415)
          & ~ c1_1(a415) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a416)
          & ~ c0_1(a416)
          & ~ c1_1(a416) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a418)
          & ~ c0_1(a418)
          & ~ c2_1(a418) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a420)
          & ~ c1_1(a420)
          & ~ c2_1(a420) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a426)
          & c1_1(a426)
          & ~ c2_1(a426) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a427)
          & c2_1(a427)
          & ~ c0_1(a427) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a428)
          & ~ c0_1(a428)
          & ~ c1_1(a428) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a430)
          & c2_1(a430)
          & ~ c3_1(a430) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a434)
          & ~ c0_1(a434)
          & ~ c3_1(a434) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a439)
          & ~ c2_1(a439)
          & ~ c3_1(a439) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a440)
          & ~ c2_1(a440)
          & ~ c3_1(a440) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a445)
          & c3_1(a445)
          & ~ c0_1(a445) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a449)
          & c3_1(a449)
          & ~ c2_1(a449) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a450)
          & ~ c1_1(a450)
          & ~ c3_1(a450) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a451)
          & c2_1(a451)
          & ~ c1_1(a451) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a477)
          & ~ c0_1(a477)
          & ~ c2_1(a477) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a405)
          & c1_1(a405)
          & c3_1(a405) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a407)
          & c2_1(a407)
          & c3_1(a407) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a412)
          & c1_1(a412)
          & c2_1(a412) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a414)
          & c2_1(a414)
          & c3_1(a414) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) )
        | hskp0 )
      & ( ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | ~ c0_1(X4)
              | ~ c1_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | ~ c2_1(X5)
              | ~ c3_1(X5) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp1
        | hskp2 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | ~ c3_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | c3_1(X9)
              | ~ c2_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | c3_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | ~ c1_1(X11)
              | ~ c2_1(X11) ) )
        | hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c2_1(X13)
              | c3_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c3_1(X14)
              | ~ c1_1(X14) ) ) )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c1_1(X15)
              | ~ c2_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | ~ c3_1(X16) ) )
        | hskp4 )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c2_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( c1_1(X18)
              | c2_1(X18)
              | ~ c0_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( c1_1(X19)
              | ~ c0_1(X19)
              | ~ c3_1(X19) ) ) )
      & ( ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c1_1(X20)
              | ~ c2_1(X20) ) )
        | hskp25
        | hskp3 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c1_1(X21)
              | ~ c2_1(X21) ) )
        | hskp26
        | hskp5 )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c1_1(X22)
              | ~ c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c3_1(X23)
              | ~ c2_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | c2_1(X24)
              | ~ c3_1(X24) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( c0_1(X25)
              | c1_1(X25)
              | ~ c3_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c3_1(X26)
              | ~ c2_1(X26) ) )
        | hskp6 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c1_1(X27)
              | ~ c3_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c2_1(X28)
              | c3_1(X28)
              | ~ c1_1(X28) ) )
        | hskp7 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c1_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | ~ c0_1(X30)
              | ~ c1_1(X30) ) )
        | hskp4 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | hskp27
        | hskp0 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c0_1(X32)
              | c2_1(X32)
              | ~ c1_1(X32) ) )
        | ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | ~ c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c3_1(X34) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | c2_1(X36)
              | ~ c3_1(X36) ) )
        | hskp28 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | hskp8
        | hskp9 )
      & ( ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | c2_1(X38)
              | ~ c3_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c1_1(X39)
              | ~ c0_1(X39)
              | ~ c2_1(X39) ) )
        | hskp4 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c2_1(X41)
              | ~ c1_1(X41)
              | ~ c3_1(X41) ) )
        | hskp10 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp0
        | hskp11 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp5
        | hskp3 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | c3_1(X45)
              | ~ c0_1(X45) ) )
        | hskp9 )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c3_1(X46)
              | ~ c2_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c2_1(X47)
              | ~ c3_1(X47) ) )
        | hskp1 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c3_1(X48)
              | ~ c2_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c1_1(X49)
              | c2_1(X49)
              | ~ c0_1(X49) ) )
        | hskp9 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | c3_1(X51)
              | ~ c2_1(X51) ) )
        | hskp12 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c3_1(X52)
              | ~ c2_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c2_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp13 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c2_1(X55)
              | ~ c1_1(X55)
              | ~ c3_1(X55) ) )
        | hskp14 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c3_1(X57)
              | ~ c0_1(X57) ) )
        | hskp1 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c3_1(X60)
              | ~ c0_1(X60)
              | ~ c2_1(X60) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | hskp15
        | hskp6 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c0_1(X63)
              | ~ c3_1(X63) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c1_1(X64)
              | ~ c3_1(X64) ) )
        | hskp27
        | hskp9 )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | hskp16
        | hskp3 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | ~ c0_1(X67)
              | ~ c1_1(X67) ) )
        | hskp11 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | ~ c0_1(X69)
              | ~ c1_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | ~ c1_1(X70)
              | ~ c2_1(X70) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp4 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | ~ c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | ~ c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | c3_1(X75)
              | ~ c0_1(X75) ) ) )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | c2_1(X76)
              | ~ c3_1(X76) ) )
        | hskp2
        | hskp17 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp18
        | hskp3 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c3_1(X78)
              | ~ c0_1(X78) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | ~ c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp9 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | hskp12
        | hskp1 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c2_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c3_1(X82)
              | ~ c0_1(X82)
              | ~ c1_1(X82) ) ) )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp19 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | ~ c2_1(X86)
              | ~ c3_1(X86) ) )
        | hskp3 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | hskp4
        | hskp3 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c3_1(X88) ) )
        | hskp20
        | hskp21 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | c3_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp22 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c0_1(X91) ) )
        | hskp2
        | hskp11 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c1_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c2_1(X93)
              | ~ c3_1(X93) ) )
        | hskp20 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | c3_1(X94)
              | ~ c1_1(X94) ) )
        | hskp28
        | hskp4 )
      & ( ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | hskp2
        | hskp7 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) )
        | hskp27
        | hskp23 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c3_1(X97) ) )
        | hskp12
        | hskp9 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | hskp7
        | hskp16 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c1_1(X99)
              | ~ c3_1(X99) ) )
        | hskp25
        | hskp28 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c1_1(X100)
              | ~ c3_1(X100) ) )
        | hskp2
        | hskp13 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c3_1(X101)
              | ~ c0_1(X101)
              | ~ c1_1(X101) ) )
        | hskp4
        | hskp5 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c1_1(X102) ) )
        | hskp20 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | hskp20
        | hskp5 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c3_1(X104)
              | ~ c1_1(X104)
              | ~ c2_1(X104) ) )
        | hskp12
        | hskp10 )
      & ( ! [X105] :
            ( ndr1_0
           => ( ~ c0_1(X105)
              | ~ c1_1(X105)
              | ~ c2_1(X105) ) )
        | hskp19
        | hskp24 )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c2_1(X106)
              | ~ c3_1(X106) ) )
        | hskp22
        | hskp11 )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c0_1(X107)
              | ~ c2_1(X107)
              | ~ c3_1(X107) ) )
        | hskp4
        | hskp9 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    file('/tmp/tmpjVdaT2/sel_SYN469+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a400)
            & c2_1(a400)
            & ~ c3_1(a400) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a401)
            & c1_1(a401)
            & ~ c3_1(a401) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a402)
            & ~ c1_1(a402)
            & ~ c2_1(a402) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a403)
            & ~ c2_1(a403)
            & ~ c3_1(a403) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a404)
            & c3_1(a404)
            & ~ c2_1(a404) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a408)
            & c3_1(a408)
            & ~ c0_1(a408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409)
            & ~ c3_1(a409) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a410)
            & ~ c1_1(a410)
            & ~ c3_1(a410) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a415)
            & c3_1(a415)
            & ~ c1_1(a415) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a416)
            & ~ c0_1(a416)
            & ~ c1_1(a416) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a418)
            & ~ c0_1(a418)
            & ~ c2_1(a418) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a420)
            & ~ c1_1(a420)
            & ~ c2_1(a420) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a426)
            & c1_1(a426)
            & ~ c2_1(a426) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a427)
            & c2_1(a427)
            & ~ c0_1(a427) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a428)
            & ~ c0_1(a428)
            & ~ c1_1(a428) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a430)
            & c2_1(a430)
            & ~ c3_1(a430) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a434)
            & ~ c0_1(a434)
            & ~ c3_1(a434) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a439)
            & ~ c2_1(a439)
            & ~ c3_1(a439) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a440)
            & ~ c2_1(a440)
            & ~ c3_1(a440) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a445)
            & c3_1(a445)
            & ~ c0_1(a445) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a449)
            & c3_1(a449)
            & ~ c2_1(a449) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a450)
            & ~ c1_1(a450)
            & ~ c3_1(a450) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a451)
            & c2_1(a451)
            & ~ c1_1(a451) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a477)
            & ~ c0_1(a477)
            & ~ c2_1(a477) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a405)
            & c1_1(a405)
            & c3_1(a405) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a407)
            & c2_1(a407)
            & c3_1(a407) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a412)
            & c1_1(a412)
            & c2_1(a412) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a414)
            & c2_1(a414)
            & c3_1(a414) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c0_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp1
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c2_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp4 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp25
          | hskp3 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp26
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | hskp7 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) )
          | hskp4 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp27
          | hskp0 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp28 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | hskp8
          | hskp9 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp0
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp5
          | hskp3 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | hskp9 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp1 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp13 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | hskp1 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp15
          | hskp6 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp27
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp16
          | hskp3 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp11 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp4 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2
          | hskp17 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp18
          | hskp3 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp9 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp12
          | hskp1 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp3 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp4
          | hskp3 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp20
          | hskp21 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp22 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp2
          | hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp20 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp28
          | hskp4 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp2
          | hskp7 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp27
          | hskp23 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp12
          | hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp7
          | hskp16 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp25
          | hskp28 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | hskp2
          | hskp13 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp4
          | hskp5 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp20 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp20
          | hskp5 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp12
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp19
          | hskp24 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp22
          | hskp11 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp4
          | hskp9 )
        & ( hskp25
          | hskp24
          | hskp21 )
        & ( hskp15
          | hskp7
          | hskp3 )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( hskp8
          | hskp3
          | hskp17 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a400)
            & c2_1(a400)
            & ~ c3_1(a400) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a401)
            & c1_1(a401)
            & ~ c3_1(a401) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a402)
            & ~ c1_1(a402)
            & ~ c2_1(a402) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c0_1(a403)
            & ~ c2_1(a403)
            & ~ c3_1(a403) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a404)
            & c3_1(a404)
            & ~ c2_1(a404) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a408)
            & c3_1(a408)
            & ~ c0_1(a408) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a409)
            & ~ c0_1(a409)
            & ~ c3_1(a409) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a410)
            & ~ c1_1(a410)
            & ~ c3_1(a410) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c2_1(a415)
            & c3_1(a415)
            & ~ c1_1(a415) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c3_1(a416)
            & ~ c0_1(a416)
            & ~ c1_1(a416) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a418)
            & ~ c0_1(a418)
            & ~ c2_1(a418) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & ~ c0_1(a420)
            & ~ c1_1(a420)
            & ~ c2_1(a420) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c0_1(a426)
            & c1_1(a426)
            & ~ c2_1(a426) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c1_1(a427)
            & c2_1(a427)
            & ~ c0_1(a427) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a428)
            & ~ c0_1(a428)
            & ~ c1_1(a428) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c0_1(a430)
            & c2_1(a430)
            & ~ c3_1(a430) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a434)
            & ~ c0_1(a434)
            & ~ c3_1(a434) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c1_1(a439)
            & ~ c2_1(a439)
            & ~ c3_1(a439) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c0_1(a440)
            & ~ c2_1(a440)
            & ~ c3_1(a440) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a445)
            & c3_1(a445)
            & ~ c0_1(a445) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a449)
            & c3_1(a449)
            & ~ c2_1(a449) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & ~ c0_1(a450)
            & ~ c1_1(a450)
            & ~ c3_1(a450) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a451)
            & c2_1(a451)
            & ~ c1_1(a451) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c1_1(a460)
            & ~ c2_1(a460)
            & ~ c3_1(a460) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a477)
            & ~ c0_1(a477)
            & ~ c2_1(a477) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a405)
            & c1_1(a405)
            & c3_1(a405) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a407)
            & c2_1(a407)
            & c3_1(a407) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a412)
            & c1_1(a412)
            & c2_1(a412) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a414)
            & c2_1(a414)
            & c3_1(a414) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | hskp0 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | ~ c0_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | ~ c2_1(X5)
                | ~ c3_1(X5) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp1
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | ~ c3_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c3_1(X9)
                | ~ c2_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c1_1(X11)
                | ~ c2_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c2_1(X13)
                | c3_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c3_1(X14)
                | ~ c1_1(X14) ) ) )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c1_1(X15)
                | ~ c2_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | ~ c3_1(X16) ) )
          | hskp4 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c1_1(X18)
                | c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( c1_1(X19)
                | ~ c0_1(X19)
                | ~ c3_1(X19) ) ) )
        & ( ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c1_1(X20)
                | ~ c2_1(X20) ) )
          | hskp25
          | hskp3 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp26
          | hskp5 )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c1_1(X22)
                | ~ c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c3_1(X23)
                | ~ c2_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | c2_1(X24)
                | ~ c3_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( c0_1(X25)
                | c1_1(X25)
                | ~ c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c3_1(X26)
                | ~ c2_1(X26) ) )
          | hskp6 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c1_1(X27)
                | ~ c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c2_1(X28)
                | c3_1(X28)
                | ~ c1_1(X28) ) )
          | hskp7 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c1_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) )
          | hskp4 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | hskp27
          | hskp0 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c0_1(X32)
                | c2_1(X32)
                | ~ c1_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | ~ c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c3_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | c2_1(X36)
                | ~ c3_1(X36) ) )
          | hskp28 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | hskp8
          | hskp9 )
        & ( ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | c2_1(X38)
                | ~ c3_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c1_1(X39)
                | ~ c0_1(X39)
                | ~ c2_1(X39) ) )
          | hskp4 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c2_1(X41)
                | ~ c1_1(X41)
                | ~ c3_1(X41) ) )
          | hskp10 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp0
          | hskp11 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp5
          | hskp3 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | hskp9 )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c3_1(X46)
                | ~ c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c2_1(X47)
                | ~ c3_1(X47) ) )
          | hskp1 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c3_1(X48)
                | ~ c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c1_1(X49)
                | c2_1(X49)
                | ~ c0_1(X49) ) )
          | hskp9 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | c3_1(X51)
                | ~ c2_1(X51) ) )
          | hskp12 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c3_1(X52)
                | ~ c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c2_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp13 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c2_1(X55)
                | ~ c1_1(X55)
                | ~ c3_1(X55) ) )
          | hskp14 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c3_1(X57)
                | ~ c0_1(X57) ) )
          | hskp1 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c3_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | hskp15
          | hskp6 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c0_1(X63)
                | ~ c3_1(X63) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c1_1(X64)
                | ~ c3_1(X64) ) )
          | hskp27
          | hskp9 )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | hskp16
          | hskp3 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | ~ c0_1(X67)
                | ~ c1_1(X67) ) )
          | hskp11 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | ~ c0_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | ~ c1_1(X70)
                | ~ c2_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp4 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | ~ c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | c3_1(X75)
                | ~ c0_1(X75) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c2_1(X76)
                | ~ c3_1(X76) ) )
          | hskp2
          | hskp17 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp18
          | hskp3 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c3_1(X78)
                | ~ c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp9 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | hskp12
          | hskp1 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c2_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | ~ c0_1(X82)
                | ~ c1_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp19 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | ~ c2_1(X86)
                | ~ c3_1(X86) ) )
          | hskp3 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | hskp4
          | hskp3 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c3_1(X88) ) )
          | hskp20
          | hskp21 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c3_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp22 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c0_1(X91) ) )
          | hskp2
          | hskp11 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c1_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c2_1(X93)
                | ~ c3_1(X93) ) )
          | hskp20 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c3_1(X94)
                | ~ c1_1(X94) ) )
          | hskp28
          | hskp4 )
        & ( ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | hskp2
          | hskp7 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) )
          | hskp27
          | hskp23 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c3_1(X97) ) )
          | hskp12
          | hskp9 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | hskp7
          | hskp16 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c1_1(X99)
                | ~ c3_1(X99) ) )
          | hskp25
          | hskp28 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c1_1(X100)
                | ~ c3_1(X100) ) )
          | hskp2
          | hskp13 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | ~ c0_1(X101)
                | ~ c1_1(X101) ) )
          | hskp4
          | hskp5 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c1_1(X102) ) )
          | hskp20 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | hskp20
          | hskp5 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | ~ c1_1(X104)
                | ~ c2_1(X104) ) )
          | hskp12
          | hskp10 )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c0_1(X105)
                | ~ c1_1(X105)
                | ~ c2_1(X105) ) )
          | hskp19
          | hskp24 )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c2_1(X106)
                | ~ c3_1(X106) ) )
          | hskp22
          | hskp11 )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c0_1(X107)
                | ~ c2_1(X107)
                | ~ c3_1(X107) ) )
          | hskp4
          | hskp9 )
        & ( hskp25
          | hskp24
          | hskp21 )
        & ( hskp15
          | hskp7
          | hskp3 )
        & ( hskp18
          | hskp20
          | hskp23 )
        & ( hskp8
          | hskp3
          | hskp17 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a400)
        & c2_1(a400)
        & ~ c3_1(a400) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a401)
        & c1_1(a401)
        & ~ c3_1(a401) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a402)
        & ~ c1_1(a402)
        & ~ c2_1(a402) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a403)
        & ~ c2_1(a403)
        & ~ c3_1(a403) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a404)
        & c3_1(a404)
        & ~ c2_1(a404) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a408)
        & c3_1(a408)
        & ~ c0_1(a408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409)
        & ~ c3_1(a409) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a410)
        & ~ c1_1(a410)
        & ~ c3_1(a410) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a415)
        & c3_1(a415)
        & ~ c1_1(a415) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a416)
        & ~ c0_1(a416)
        & ~ c1_1(a416) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a418)
        & ~ c0_1(a418)
        & ~ c2_1(a418) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a420)
        & ~ c1_1(a420)
        & ~ c2_1(a420) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a426)
        & c1_1(a426)
        & ~ c2_1(a426) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a427)
        & c2_1(a427)
        & ~ c0_1(a427) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a428)
        & ~ c0_1(a428)
        & ~ c1_1(a428) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a430)
        & c2_1(a430)
        & ~ c3_1(a430) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a434)
        & ~ c0_1(a434)
        & ~ c3_1(a434) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a439)
        & ~ c2_1(a439)
        & ~ c3_1(a439) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a440)
        & ~ c2_1(a440)
        & ~ c3_1(a440) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a445)
        & c3_1(a445)
        & ~ c0_1(a445) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a449)
        & c3_1(a449)
        & ~ c2_1(a449) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a450)
        & ~ c1_1(a450)
        & ~ c3_1(a450) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a451)
        & c2_1(a451)
        & ~ c1_1(a451) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a477)
        & ~ c0_1(a477)
        & ~ c2_1(a477) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a405)
        & c1_1(a405)
        & c3_1(a405) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a407)
        & c2_1(a407)
        & c3_1(a407) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a412)
        & c1_1(a412)
        & c2_1(a412) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a414)
        & c2_1(a414)
        & c3_1(a414) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2) )
      | hskp0 )
    & ( ! [X3] :
          ( ~ ndr1_0
          | c0_1(X3)
          | c1_1(X3)
          | c2_1(X3) )
      | ! [X4] :
          ( ~ ndr1_0
          | c3_1(X4)
          | ~ c0_1(X4)
          | ~ c1_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | ~ c0_1(X5)
          | ~ c2_1(X5)
          | ~ c3_1(X5) ) )
    & ( ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | c1_1(X6)
          | c2_1(X6) )
      | hskp1
      | hskp2 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | c3_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c1_1(X8)
          | ~ c3_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c1_1(X9)
          | c3_1(X9)
          | ~ c2_1(X9) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | c1_1(X10)
          | c3_1(X10) )
      | ! [X11] :
          ( ~ ndr1_0
          | c3_1(X11)
          | ~ c1_1(X11)
          | ~ c2_1(X11) )
      | hskp3 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | c2_1(X13)
          | c3_1(X13) )
      | ! [X14] :
          ( ~ ndr1_0
          | c2_1(X14)
          | c3_1(X14)
          | ~ c1_1(X14) ) )
    & ( ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | c1_1(X15)
          | ~ c2_1(X15) )
      | ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c2_1(X16)
          | ~ c3_1(X16) )
      | hskp4 )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c1_1(X17)
          | ~ c2_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | c1_1(X18)
          | c2_1(X18)
          | ~ c0_1(X18) )
      | ! [X19] :
          ( ~ ndr1_0
          | c1_1(X19)
          | ~ c0_1(X19)
          | ~ c3_1(X19) ) )
    & ( ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | c1_1(X20)
          | ~ c2_1(X20) )
      | hskp25
      | hskp3 )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21) )
      | hskp26
      | hskp5 )
    & ( ! [X22] :
          ( ~ ndr1_0
          | c0_1(X22)
          | c1_1(X22)
          | ~ c3_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | c3_1(X23)
          | ~ c2_1(X23) )
      | ! [X24] :
          ( ~ ndr1_0
          | c1_1(X24)
          | c2_1(X24)
          | ~ c3_1(X24) ) )
    & ( ! [X25] :
          ( ~ ndr1_0
          | c0_1(X25)
          | c1_1(X25)
          | ~ c3_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c3_1(X26)
          | ~ c2_1(X26) )
      | hskp6 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | c0_1(X27)
          | c1_1(X27)
          | ~ c3_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c2_1(X28)
          | c3_1(X28)
          | ~ c1_1(X28) )
      | hskp7 )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c1_1(X29)
          | ~ c3_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | c3_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30) )
      | hskp4 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c2_1(X31)
          | c3_1(X31) )
      | hskp27
      | hskp0 )
    & ( ! [X32] :
          ( ~ ndr1_0
          | c0_1(X32)
          | c2_1(X32)
          | ~ c1_1(X32) )
      | ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | ~ c2_1(X33)
          | ~ c3_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c2_1(X34)
          | ~ c3_1(X34) ) )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | c1_1(X36)
          | c2_1(X36)
          | ~ c3_1(X36) )
      | hskp28 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37) )
      | hskp8
      | hskp9 )
    & ( ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | c2_1(X38)
          | ~ c3_1(X38) )
      | ! [X39] :
          ( ~ ndr1_0
          | c1_1(X39)
          | ~ c0_1(X39)
          | ~ c2_1(X39) )
      | hskp4 )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40) )
      | ! [X41] :
          ( ~ ndr1_0
          | c2_1(X41)
          | ~ c1_1(X41)
          | ~ c3_1(X41) )
      | hskp10 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c2_1(X42)
          | ~ c3_1(X42) )
      | hskp0
      | hskp11 )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43) )
      | hskp5
      | hskp3 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c1_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45) )
      | hskp9 )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c3_1(X46)
          | ~ c2_1(X46) )
      | ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | ~ c2_1(X47)
          | ~ c3_1(X47) )
      | hskp1 )
    & ( ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | c3_1(X48)
          | ~ c2_1(X48) )
      | ! [X49] :
          ( ~ ndr1_0
          | c1_1(X49)
          | c2_1(X49)
          | ~ c0_1(X49) )
      | hskp9 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50) )
      | ! [X51] :
          ( ~ ndr1_0
          | c1_1(X51)
          | c3_1(X51)
          | ~ c2_1(X51) )
      | hskp12 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | c3_1(X52)
          | ~ c2_1(X52) )
      | ! [X53] :
          ( ~ ndr1_0
          | c2_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53) )
      | hskp13 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c2_1(X55)
          | ~ c1_1(X55)
          | ~ c3_1(X55) )
      | hskp14 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | c3_1(X57)
          | ~ c0_1(X57) )
      | hskp1 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58) )
      | ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59) )
      | ! [X60] :
          ( ~ ndr1_0
          | c3_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60) ) )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61) )
      | hskp15
      | hskp6 )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62) )
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | ~ c0_1(X63)
          | ~ c3_1(X63) ) )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | ~ c1_1(X64)
          | ~ c3_1(X64) )
      | hskp27
      | hskp9 )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65) )
      | hskp16
      | hskp3 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | c3_1(X67)
          | ~ c0_1(X67)
          | ~ c1_1(X67) )
      | hskp11 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68) )
      | ! [X69] :
          ( ~ ndr1_0
          | c2_1(X69)
          | ~ c0_1(X69)
          | ~ c1_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c0_1(X70)
          | ~ c1_1(X70)
          | ~ c2_1(X70) ) )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72) )
      | hskp4 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c1_1(X73)
          | c2_1(X73)
          | ~ c3_1(X73) )
      | ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | ~ c2_1(X74)
          | ~ c3_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | c3_1(X75)
          | ~ c0_1(X75) ) )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | c2_1(X76)
          | ~ c3_1(X76) )
      | hskp2
      | hskp17 )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77) )
      | hskp18
      | hskp3 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c1_1(X78)
          | c3_1(X78)
          | ~ c0_1(X78) )
      | ! [X79] :
          ( ~ ndr1_0
          | ~ c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79) )
      | hskp9 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80) )
      | hskp12
      | hskp1 )
    & ( ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | c3_1(X81)
          | ~ c2_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | c3_1(X82)
          | ~ c0_1(X82)
          | ~ c1_1(X82) ) )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c1_1(X83)
          | c3_1(X83)
          | ~ c2_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84) )
      | hskp19 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85) )
      | ! [X86] :
          ( ~ ndr1_0
          | ~ c0_1(X86)
          | ~ c2_1(X86)
          | ~ c3_1(X86) )
      | hskp3 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87) )
      | hskp4
      | hskp3 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c1_1(X88)
          | ~ c0_1(X88)
          | ~ c3_1(X88) )
      | hskp20
      | hskp21 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c2_1(X89)
          | c3_1(X89)
          | ~ c0_1(X89) )
      | ! [X90] :
          ( ~ ndr1_0
          | c2_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90) )
      | hskp22 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c2_1(X91)
          | c3_1(X91)
          | ~ c0_1(X91) )
      | hskp2
      | hskp11 )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c2_1(X92)
          | c3_1(X92)
          | ~ c1_1(X92) )
      | ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | ~ c2_1(X93)
          | ~ c3_1(X93) )
      | hskp20 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c2_1(X94)
          | c3_1(X94)
          | ~ c1_1(X94) )
      | hskp28
      | hskp4 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | c3_1(X95)
          | ~ c1_1(X95) )
      | hskp2
      | hskp7 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c2_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96) )
      | hskp27
      | hskp23 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ c3_1(X97) )
      | hskp12
      | hskp9 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98) )
      | hskp7
      | hskp16 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c2_1(X99)
          | ~ c1_1(X99)
          | ~ c3_1(X99) )
      | hskp25
      | hskp28 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c2_1(X100)
          | ~ c1_1(X100)
          | ~ c3_1(X100) )
      | hskp2
      | hskp13 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | c3_1(X101)
          | ~ c0_1(X101)
          | ~ c1_1(X101) )
      | hskp4
      | hskp5 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ c1_1(X102) )
      | hskp20 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c3_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103) )
      | hskp20
      | hskp5 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c3_1(X104)
          | ~ c1_1(X104)
          | ~ c2_1(X104) )
      | hskp12
      | hskp10 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | ~ c0_1(X105)
          | ~ c1_1(X105)
          | ~ c2_1(X105) )
      | hskp19
      | hskp24 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | ~ c2_1(X106)
          | ~ c3_1(X106) )
      | hskp22
      | hskp11 )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c0_1(X107)
          | ~ c2_1(X107)
          | ~ c3_1(X107) )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a400)
        & c2_1(a400)
        & ~ c3_1(a400) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a401)
        & c1_1(a401)
        & ~ c3_1(a401) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a402)
        & ~ c1_1(a402)
        & ~ c2_1(a402) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & ~ c0_1(a403)
        & ~ c2_1(a403)
        & ~ c3_1(a403) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a404)
        & c3_1(a404)
        & ~ c2_1(a404) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c2_1(a408)
        & c3_1(a408)
        & ~ c0_1(a408) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a409)
        & ~ c0_1(a409)
        & ~ c3_1(a409) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a410)
        & ~ c1_1(a410)
        & ~ c3_1(a410) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c2_1(a415)
        & c3_1(a415)
        & ~ c1_1(a415) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c3_1(a416)
        & ~ c0_1(a416)
        & ~ c1_1(a416) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a418)
        & ~ c0_1(a418)
        & ~ c2_1(a418) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & ~ c0_1(a420)
        & ~ c1_1(a420)
        & ~ c2_1(a420) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c0_1(a426)
        & c1_1(a426)
        & ~ c2_1(a426) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c1_1(a427)
        & c2_1(a427)
        & ~ c0_1(a427) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a428)
        & ~ c0_1(a428)
        & ~ c1_1(a428) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c0_1(a430)
        & c2_1(a430)
        & ~ c3_1(a430) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a434)
        & ~ c0_1(a434)
        & ~ c3_1(a434) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & ~ c1_1(a439)
        & ~ c2_1(a439)
        & ~ c3_1(a439) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c0_1(a440)
        & ~ c2_1(a440)
        & ~ c3_1(a440) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a445)
        & c3_1(a445)
        & ~ c0_1(a445) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a449)
        & c3_1(a449)
        & ~ c2_1(a449) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & ~ c0_1(a450)
        & ~ c1_1(a450)
        & ~ c3_1(a450) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a451)
        & c2_1(a451)
        & ~ c1_1(a451) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c1_1(a460)
        & ~ c2_1(a460)
        & ~ c3_1(a460) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a477)
        & ~ c0_1(a477)
        & ~ c2_1(a477) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a405)
        & c1_1(a405)
        & c3_1(a405) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a407)
        & c2_1(a407)
        & c3_1(a407) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a412)
        & c1_1(a412)
        & c2_1(a412) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a414)
        & c2_1(a414)
        & c3_1(a414) ) )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c0_1(X108)
          | c1_1(X108)
          | c2_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | ~ c2_1(X109)
          | ~ c3_1(X109) )
      | hskp0 )
    & ( ! [X110] :
          ( ~ ndr1_0
          | c0_1(X110)
          | c1_1(X110)
          | c2_1(X110) )
      | ! [X111] :
          ( ~ ndr1_0
          | c3_1(X111)
          | ~ c0_1(X111)
          | ~ c1_1(X111) )
      | ! [X112] :
          ( ~ ndr1_0
          | ~ c0_1(X112)
          | ~ c2_1(X112)
          | ~ c3_1(X112) ) )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | c1_1(X113)
          | c2_1(X113) )
      | hskp1
      | hskp2 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | c0_1(X114)
          | c1_1(X114)
          | c3_1(X114) )
      | ! [X115] :
          ( ~ ndr1_0
          | c0_1(X115)
          | c1_1(X115)
          | ~ c3_1(X115) )
      | ! [X116] :
          ( ~ ndr1_0
          | c1_1(X116)
          | c3_1(X116)
          | ~ c2_1(X116) ) )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c0_1(X117)
          | c1_1(X117)
          | c3_1(X117) )
      | ! [X118] :
          ( ~ ndr1_0
          | c3_1(X118)
          | ~ c1_1(X118)
          | ~ c2_1(X118) )
      | hskp3 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | c0_1(X119)
          | c1_1(X119)
          | ~ c2_1(X119) )
      | ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c2_1(X120)
          | c3_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | c2_1(X121)
          | c3_1(X121)
          | ~ c1_1(X121) ) )
    & ( ! [X122] :
          ( ~ ndr1_0
          | c0_1(X122)
          | c1_1(X122)
          | ~ c2_1(X122) )
      | ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c2_1(X123)
          | ~ c3_1(X123) )
      | hskp4 )
    & ( ! [X124] :
          ( ~ ndr1_0
          | c0_1(X124)
          | c1_1(X124)
          | ~ c2_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | c1_1(X125)
          | c2_1(X125)
          | ~ c0_1(X125) )
      | ! [X126] :
          ( ~ ndr1_0
          | c1_1(X126)
          | ~ c0_1(X126)
          | ~ c3_1(X126) ) )
    & ( ! [X127] :
          ( ~ ndr1_0
          | c0_1(X127)
          | c1_1(X127)
          | ~ c2_1(X127) )
      | hskp25
      | hskp3 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c1_1(X128)
          | ~ c2_1(X128) )
      | hskp26
      | hskp5 )
    & ( ! [X129] :
          ( ~ ndr1_0
          | c0_1(X129)
          | c1_1(X129)
          | ~ c3_1(X129) )
      | ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c3_1(X130)
          | ~ c2_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c1_1(X131)
          | c2_1(X131)
          | ~ c3_1(X131) ) )
    & ( ! [X132] :
          ( ~ ndr1_0
          | c0_1(X132)
          | c1_1(X132)
          | ~ c3_1(X132) )
      | ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c3_1(X133)
          | ~ c2_1(X133) )
      | hskp6 )
    & ( ! [X134] :
          ( ~ ndr1_0
          | c0_1(X134)
          | c1_1(X134)
          | ~ c3_1(X134) )
      | ! [X135] :
          ( ~ ndr1_0
          | c2_1(X135)
          | c3_1(X135)
          | ~ c1_1(X135) )
      | hskp7 )
    & ( ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c1_1(X136)
          | ~ c3_1(X136) )
      | ! [X137] :
          ( ~ ndr1_0
          | c3_1(X137)
          | ~ c0_1(X137)
          | ~ c1_1(X137) )
      | hskp4 )
    & ( ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c2_1(X138)
          | c3_1(X138) )
      | hskp27
      | hskp0 )
    & ( ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | c2_1(X139)
          | ~ c1_1(X139) )
      | ! [X140] :
          ( ~ ndr1_0
          | c0_1(X140)
          | ~ c2_1(X140)
          | ~ c3_1(X140) )
      | ! [X141] :
          ( ~ ndr1_0
          | c1_1(X141)
          | c2_1(X141)
          | ~ c3_1(X141) ) )
    & ( ! [X142] :
          ( ~ ndr1_0
          | c0_1(X142)
          | c2_1(X142)
          | ~ c1_1(X142) )
      | ! [X143] :
          ( ~ ndr1_0
          | c1_1(X143)
          | c2_1(X143)
          | ~ c3_1(X143) )
      | hskp28 )
    & ( ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | c2_1(X144)
          | ~ c1_1(X144) )
      | hskp8
      | hskp9 )
    & ( ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | c2_1(X145)
          | ~ c3_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c1_1(X146)
          | ~ c0_1(X146)
          | ~ c2_1(X146) )
      | hskp4 )
    & ( ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | c2_1(X147)
          | ~ c3_1(X147) )
      | ! [X148] :
          ( ~ ndr1_0
          | c2_1(X148)
          | ~ c1_1(X148)
          | ~ c3_1(X148) )
      | hskp10 )
    & ( ! [X149] :
          ( ~ ndr1_0
          | c0_1(X149)
          | c2_1(X149)
          | ~ c3_1(X149) )
      | hskp0
      | hskp11 )
    & ( ! [X150] :
          ( ~ ndr1_0
          | c0_1(X150)
          | c2_1(X150)
          | ~ c3_1(X150) )
      | hskp5
      | hskp3 )
    & ( ! [X151] :
          ( ~ ndr1_0
          | c0_1(X151)
          | c3_1(X151)
          | ~ c1_1(X151) )
      | ! [X152] :
          ( ~ ndr1_0
          | c1_1(X152)
          | c3_1(X152)
          | ~ c0_1(X152) )
      | hskp9 )
    & ( ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | c3_1(X153)
          | ~ c2_1(X153) )
      | ! [X154] :
          ( ~ ndr1_0
          | c0_1(X154)
          | ~ c2_1(X154)
          | ~ c3_1(X154) )
      | hskp1 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c0_1(X155)
          | c3_1(X155)
          | ~ c2_1(X155) )
      | ! [X156] :
          ( ~ ndr1_0
          | c1_1(X156)
          | c2_1(X156)
          | ~ c0_1(X156) )
      | hskp9 )
    & ( ! [X157] :
          ( ~ ndr1_0
          | c0_1(X157)
          | c3_1(X157)
          | ~ c2_1(X157) )
      | ! [X158] :
          ( ~ ndr1_0
          | c1_1(X158)
          | c3_1(X158)
          | ~ c2_1(X158) )
      | hskp12 )
    & ( ! [X159] :
          ( ~ ndr1_0
          | c0_1(X159)
          | c3_1(X159)
          | ~ c2_1(X159) )
      | ! [X160] :
          ( ~ ndr1_0
          | c2_1(X160)
          | c3_1(X160)
          | ~ c1_1(X160) )
      | hskp13 )
    & ( ! [X161] :
          ( ~ ndr1_0
          | c0_1(X161)
          | c3_1(X161)
          | ~ c2_1(X161) )
      | ! [X162] :
          ( ~ ndr1_0
          | c2_1(X162)
          | ~ c1_1(X162)
          | ~ c3_1(X162) )
      | hskp14 )
    & ( ! [X163] :
          ( ~ ndr1_0
          | c0_1(X163)
          | ~ c1_1(X163)
          | ~ c2_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c1_1(X164)
          | c3_1(X164)
          | ~ c0_1(X164) )
      | hskp1 )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | ~ c1_1(X165)
          | ~ c2_1(X165) )
      | ! [X166] :
          ( ~ ndr1_0
          | c1_1(X166)
          | ~ c2_1(X166)
          | ~ c3_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | c3_1(X167)
          | ~ c0_1(X167)
          | ~ c2_1(X167) ) )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c0_1(X168)
          | ~ c1_1(X168)
          | ~ c2_1(X168) )
      | hskp15
      | hskp6 )
    & ( ! [X169] :
          ( ~ ndr1_0
          | c0_1(X169)
          | ~ c1_1(X169)
          | ~ c3_1(X169) )
      | ! [X170] :
          ( ~ ndr1_0
          | c1_1(X170)
          | ~ c0_1(X170)
          | ~ c3_1(X170) ) )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | ~ c1_1(X171)
          | ~ c3_1(X171) )
      | hskp27
      | hskp9 )
    & ( ! [X172] :
          ( ~ ndr1_0
          | c0_1(X172)
          | ~ c1_1(X172)
          | ~ c3_1(X172) )
      | hskp16
      | hskp3 )
    & ( ! [X173] :
          ( ~ ndr1_0
          | c0_1(X173)
          | ~ c2_1(X173)
          | ~ c3_1(X173) )
      | ! [X174] :
          ( ~ ndr1_0
          | c3_1(X174)
          | ~ c0_1(X174)
          | ~ c1_1(X174) )
      | hskp11 )
    & ( ! [X175] :
          ( ~ ndr1_0
          | c1_1(X175)
          | c2_1(X175)
          | ~ c0_1(X175) )
      | ! [X176] :
          ( ~ ndr1_0
          | c2_1(X176)
          | ~ c0_1(X176)
          | ~ c1_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | ~ c0_1(X177)
          | ~ c1_1(X177)
          | ~ c2_1(X177) ) )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c1_1(X178)
          | c2_1(X178)
          | ~ c3_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | c1_1(X179)
          | ~ c0_1(X179)
          | ~ c2_1(X179) )
      | hskp4 )
    & ( ! [X180] :
          ( ~ ndr1_0
          | c1_1(X180)
          | c2_1(X180)
          | ~ c3_1(X180) )
      | ! [X181] :
          ( ~ ndr1_0
          | c1_1(X181)
          | ~ c2_1(X181)
          | ~ c3_1(X181) )
      | ! [X182] :
          ( ~ ndr1_0
          | c2_1(X182)
          | c3_1(X182)
          | ~ c0_1(X182) ) )
    & ( ! [X183] :
          ( ~ ndr1_0
          | c1_1(X183)
          | c2_1(X183)
          | ~ c3_1(X183) )
      | hskp2
      | hskp17 )
    & ( ! [X184] :
          ( ~ ndr1_0
          | c1_1(X184)
          | c2_1(X184)
          | ~ c3_1(X184) )
      | hskp18
      | hskp3 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | c1_1(X185)
          | c3_1(X185)
          | ~ c0_1(X185) )
      | ! [X186] :
          ( ~ ndr1_0
          | ~ c1_1(X186)
          | ~ c2_1(X186)
          | ~ c3_1(X186) )
      | hskp9 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | c1_1(X187)
          | c3_1(X187)
          | ~ c0_1(X187) )
      | hskp12
      | hskp1 )
    & ( ! [X188] :
          ( ~ ndr1_0
          | c1_1(X188)
          | c3_1(X188)
          | ~ c2_1(X188) )
      | ! [X189] :
          ( ~ ndr1_0
          | c3_1(X189)
          | ~ c0_1(X189)
          | ~ c1_1(X189) ) )
    & ( ! [X190] :
          ( ~ ndr1_0
          | c1_1(X190)
          | c3_1(X190)
          | ~ c2_1(X190) )
      | ! [X191] :
          ( ~ ndr1_0
          | ~ c0_1(X191)
          | ~ c2_1(X191)
          | ~ c3_1(X191) )
      | hskp19 )
    & ( ! [X192] :
          ( ~ ndr1_0
          | c1_1(X192)
          | ~ c0_1(X192)
          | ~ c2_1(X192) )
      | ! [X193] :
          ( ~ ndr1_0
          | ~ c0_1(X193)
          | ~ c2_1(X193)
          | ~ c3_1(X193) )
      | hskp3 )
    & ( ! [X194] :
          ( ~ ndr1_0
          | c1_1(X194)
          | ~ c0_1(X194)
          | ~ c3_1(X194) )
      | hskp4
      | hskp3 )
    & ( ! [X195] :
          ( ~ ndr1_0
          | c1_1(X195)
          | ~ c0_1(X195)
          | ~ c3_1(X195) )
      | hskp20
      | hskp21 )
    & ( ! [X196] :
          ( ~ ndr1_0
          | c2_1(X196)
          | c3_1(X196)
          | ~ c0_1(X196) )
      | ! [X197] :
          ( ~ ndr1_0
          | c2_1(X197)
          | ~ c1_1(X197)
          | ~ c3_1(X197) )
      | hskp22 )
    & ( ! [X198] :
          ( ~ ndr1_0
          | c2_1(X198)
          | c3_1(X198)
          | ~ c0_1(X198) )
      | hskp2
      | hskp11 )
    & ( ! [X199] :
          ( ~ ndr1_0
          | c2_1(X199)
          | c3_1(X199)
          | ~ c1_1(X199) )
      | ! [X200] :
          ( ~ ndr1_0
          | ~ c0_1(X200)
          | ~ c2_1(X200)
          | ~ c3_1(X200) )
      | hskp20 )
    & ( ! [X201] :
          ( ~ ndr1_0
          | c2_1(X201)
          | c3_1(X201)
          | ~ c1_1(X201) )
      | hskp28
      | hskp4 )
    & ( ! [X202] :
          ( ~ ndr1_0
          | c2_1(X202)
          | c3_1(X202)
          | ~ c1_1(X202) )
      | hskp2
      | hskp7 )
    & ( ! [X203] :
          ( ~ ndr1_0
          | c2_1(X203)
          | ~ c0_1(X203)
          | ~ c1_1(X203) )
      | hskp27
      | hskp23 )
    & ( ! [X204] :
          ( ~ ndr1_0
          | c2_1(X204)
          | ~ c0_1(X204)
          | ~ c3_1(X204) )
      | hskp12
      | hskp9 )
    & ( ! [X205] :
          ( ~ ndr1_0
          | c2_1(X205)
          | ~ c0_1(X205)
          | ~ c3_1(X205) )
      | hskp7
      | hskp16 )
    & ( ! [X206] :
          ( ~ ndr1_0
          | c2_1(X206)
          | ~ c1_1(X206)
          | ~ c3_1(X206) )
      | hskp25
      | hskp28 )
    & ( ! [X207] :
          ( ~ ndr1_0
          | c2_1(X207)
          | ~ c1_1(X207)
          | ~ c3_1(X207) )
      | hskp2
      | hskp13 )
    & ( ! [X208] :
          ( ~ ndr1_0
          | c3_1(X208)
          | ~ c0_1(X208)
          | ~ c1_1(X208) )
      | hskp4
      | hskp5 )
    & ( ! [X209] :
          ( ~ ndr1_0
          | c3_1(X209)
          | ~ c0_1(X209)
          | ~ c1_1(X209) )
      | hskp20 )
    & ( ! [X210] :
          ( ~ ndr1_0
          | c3_1(X210)
          | ~ c0_1(X210)
          | ~ c1_1(X210) )
      | hskp20
      | hskp5 )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c3_1(X211)
          | ~ c1_1(X211)
          | ~ c2_1(X211) )
      | hskp12
      | hskp10 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | ~ c0_1(X212)
          | ~ c1_1(X212)
          | ~ c2_1(X212) )
      | hskp19
      | hskp24 )
    & ( ! [X213] :
          ( ~ ndr1_0
          | ~ c0_1(X213)
          | ~ c2_1(X213)
          | ~ c3_1(X213) )
      | hskp22
      | hskp11 )
    & ( ! [X214] :
          ( ~ ndr1_0
          | ~ c0_1(X214)
          | ~ c2_1(X214)
          | ~ c3_1(X214) )
      | hskp4
      | hskp9 )
    & ( hskp25
      | hskp24
      | hskp21 )
    & ( hskp15
      | hskp7
      | hskp3 )
    & ( hskp18
      | hskp20
      | hskp23 )
    & ( hskp8
      | hskp3
      | hskp17 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [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,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214] :
      ( ( ~ ndr1_0
        | ~ c0_1(X214)
        | ~ c2_1(X214)
        | ~ c3_1(X214)
        | hskp4
        | hskp9 )
      & ( ~ ndr1_0
        | ~ c0_1(X213)
        | ~ c2_1(X213)
        | ~ c3_1(X213)
        | hskp22
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X212)
        | ~ c1_1(X212)
        | ~ c2_1(X212)
        | hskp19
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X211)
        | ~ c1_1(X211)
        | ~ c2_1(X211)
        | hskp12
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X210)
        | ~ c0_1(X210)
        | ~ c1_1(X210)
        | hskp20
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | hskp20 )
      & ( ~ ndr1_0
        | c3_1(X208)
        | ~ c0_1(X208)
        | ~ c1_1(X208)
        | hskp4
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X207)
        | ~ c1_1(X207)
        | ~ c3_1(X207)
        | hskp2
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | hskp25
        | hskp28 )
      & ( ~ ndr1_0
        | c2_1(X205)
        | ~ c0_1(X205)
        | ~ c3_1(X205)
        | hskp7
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X204)
        | ~ c0_1(X204)
        | ~ c3_1(X204)
        | hskp12
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X203)
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | hskp27
        | hskp23 )
      & ( ~ ndr1_0
        | c2_1(X202)
        | c3_1(X202)
        | ~ c1_1(X202)
        | hskp2
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X201)
        | c3_1(X201)
        | ~ c1_1(X201)
        | hskp28
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ c3_1(X200)
        | ~ ndr1_0
        | c2_1(X199)
        | c3_1(X199)
        | ~ c1_1(X199)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X198)
        | c3_1(X198)
        | ~ c0_1(X198)
        | hskp2
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X197)
        | ~ c1_1(X197)
        | ~ c3_1(X197)
        | ~ ndr1_0
        | c2_1(X196)
        | c3_1(X196)
        | ~ c0_1(X196)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | ~ c0_1(X195)
        | ~ c3_1(X195)
        | hskp20
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X194)
        | ~ c0_1(X194)
        | ~ c3_1(X194)
        | hskp4
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X193)
        | ~ c2_1(X193)
        | ~ c3_1(X193)
        | ~ ndr1_0
        | c1_1(X192)
        | ~ c0_1(X192)
        | ~ c2_1(X192)
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X191)
        | ~ c2_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c3_1(X190)
        | ~ c2_1(X190)
        | hskp19 )
      & ( ~ ndr1_0
        | c3_1(X189)
        | ~ c0_1(X189)
        | ~ c1_1(X189)
        | ~ ndr1_0
        | c1_1(X188)
        | c3_1(X188)
        | ~ c2_1(X188) )
      & ( ~ ndr1_0
        | c1_1(X187)
        | c3_1(X187)
        | ~ c0_1(X187)
        | hskp12
        | hskp1 )
      & ( ~ ndr1_0
        | ~ c1_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c1_1(X185)
        | c3_1(X185)
        | ~ c0_1(X185)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | ~ c3_1(X184)
        | hskp18
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X183)
        | c2_1(X183)
        | ~ c3_1(X183)
        | hskp2
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X182)
        | c3_1(X182)
        | ~ c0_1(X182)
        | ~ ndr1_0
        | c1_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | c1_1(X180)
        | c2_1(X180)
        | ~ c3_1(X180) )
      & ( ~ ndr1_0
        | c1_1(X179)
        | ~ c0_1(X179)
        | ~ c2_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | c2_1(X178)
        | ~ c3_1(X178)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X177)
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176)
        | ~ ndr1_0
        | c1_1(X175)
        | c2_1(X175)
        | ~ c0_1(X175) )
      & ( ~ ndr1_0
        | c3_1(X174)
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp16
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | hskp27
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c0_1(X169)
        | ~ c1_1(X169)
        | ~ c3_1(X169) )
      & ( ~ ndr1_0
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ c2_1(X168)
        | hskp15
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | ~ c2_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165) )
      & ( ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | ~ c1_1(X163)
        | ~ c2_1(X163)
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X162)
        | ~ c1_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c2_1(X161)
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X160)
        | c3_1(X160)
        | ~ c1_1(X160)
        | ~ ndr1_0
        | c0_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | ~ c2_1(X158)
        | ~ ndr1_0
        | c0_1(X157)
        | c3_1(X157)
        | ~ c2_1(X157)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X156)
        | c2_1(X156)
        | ~ c0_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c3_1(X155)
        | ~ c2_1(X155)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X154)
        | ~ c2_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c3_1(X153)
        | ~ c2_1(X153)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X152)
        | c3_1(X152)
        | ~ c0_1(X152)
        | ~ ndr1_0
        | c0_1(X151)
        | c3_1(X151)
        | ~ c1_1(X151)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | ~ c3_1(X150)
        | hskp5
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c3_1(X149)
        | hskp0
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X148)
        | ~ c1_1(X148)
        | ~ c3_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c3_1(X147)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | ~ c3_1(X145)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c2_1(X144)
        | ~ c1_1(X144)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X143)
        | c2_1(X143)
        | ~ c3_1(X143)
        | ~ ndr1_0
        | c0_1(X142)
        | c2_1(X142)
        | ~ c1_1(X142)
        | hskp28 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | ~ c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | ~ c2_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c2_1(X139)
        | ~ c1_1(X139) )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | hskp27
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X137)
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X135)
        | c3_1(X135)
        | ~ c1_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | ~ c3_1(X134)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c3_1(X133)
        | ~ c2_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | ~ c3_1(X132)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X131)
        | c2_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c3_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | ~ c3_1(X129) )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp26
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | ~ c2_1(X127)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X126)
        | ~ c0_1(X126)
        | ~ c3_1(X126)
        | ~ ndr1_0
        | c1_1(X125)
        | c2_1(X125)
        | ~ c0_1(X125)
        | ~ ndr1_0
        | c0_1(X124)
        | c1_1(X124)
        | ~ c2_1(X124) )
      & ( ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c3_1(X123)
        | ~ ndr1_0
        | c0_1(X122)
        | c1_1(X122)
        | ~ c2_1(X122)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X121)
        | c3_1(X121)
        | ~ c1_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120)
        | ~ ndr1_0
        | c0_1(X119)
        | c1_1(X119)
        | ~ c2_1(X119) )
      & ( ~ ndr1_0
        | c3_1(X118)
        | ~ c1_1(X118)
        | ~ c2_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | c3_1(X117)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X116)
        | c3_1(X116)
        | ~ c2_1(X116)
        | ~ ndr1_0
        | c0_1(X115)
        | c1_1(X115)
        | ~ c3_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c1_1(X114)
        | c3_1(X114) )
      & ( ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | c2_1(X113)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c0_1(X112)
        | ~ c2_1(X112)
        | ~ c3_1(X112)
        | ~ ndr1_0
        | c3_1(X111)
        | ~ c0_1(X111)
        | ~ c1_1(X111)
        | ~ ndr1_0
        | c0_1(X110)
        | c1_1(X110)
        | c2_1(X110) )
      & ( ~ ndr1_0
        | c0_1(X109)
        | ~ c2_1(X109)
        | ~ c3_1(X109)
        | ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | c2_1(X108)
        | hskp0 )
      & ( ~ hskp0
        | ( ndr1_0
          & c1_1(a400)
          & c2_1(a400)
          & ~ c3_1(a400) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a401)
          & c1_1(a401)
          & ~ c3_1(a401) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a402)
          & ~ c1_1(a402)
          & ~ c2_1(a402) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c0_1(a403)
          & ~ c2_1(a403)
          & ~ c3_1(a403) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a404)
          & c3_1(a404)
          & ~ c2_1(a404) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a408)
          & c3_1(a408)
          & ~ c0_1(a408) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a409)
          & ~ c0_1(a409)
          & ~ c3_1(a409) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a410)
          & ~ c1_1(a410)
          & ~ c3_1(a410) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c2_1(a415)
          & c3_1(a415)
          & ~ c1_1(a415) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c3_1(a416)
          & ~ c0_1(a416)
          & ~ c1_1(a416) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a418)
          & ~ c0_1(a418)
          & ~ c2_1(a418) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & ~ c0_1(a420)
          & ~ c1_1(a420)
          & ~ c2_1(a420) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c0_1(a426)
          & c1_1(a426)
          & ~ c2_1(a426) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c1_1(a427)
          & c2_1(a427)
          & ~ c0_1(a427) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a428)
          & ~ c0_1(a428)
          & ~ c1_1(a428) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c0_1(a430)
          & c2_1(a430)
          & ~ c3_1(a430) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a434)
          & ~ c0_1(a434)
          & ~ c3_1(a434) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c1_1(a439)
          & ~ c2_1(a439)
          & ~ c3_1(a439) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c0_1(a440)
          & ~ c2_1(a440)
          & ~ c3_1(a440) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a445)
          & c3_1(a445)
          & ~ c0_1(a445) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a449)
          & c3_1(a449)
          & ~ c2_1(a449) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & ~ c0_1(a450)
          & ~ c1_1(a450)
          & ~ c3_1(a450) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a451)
          & c2_1(a451)
          & ~ c1_1(a451) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c1_1(a460)
          & ~ c2_1(a460)
          & ~ c3_1(a460) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a477)
          & ~ c0_1(a477)
          & ~ c2_1(a477) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a405)
          & c1_1(a405)
          & c3_1(a405) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a407)
          & c2_1(a407)
          & c3_1(a407) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a412)
          & c1_1(a412)
          & c2_1(a412) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a414)
          & c2_1(a414)
          & c3_1(a414) ) )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [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,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214] :
      ( ( ~ ndr1_0
        | ~ c0_1(X214)
        | ~ c2_1(X214)
        | ~ c3_1(X214)
        | hskp4
        | hskp9 )
      & ( ~ ndr1_0
        | ~ c0_1(X213)
        | ~ c2_1(X213)
        | ~ c3_1(X213)
        | hskp22
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X212)
        | ~ c1_1(X212)
        | ~ c2_1(X212)
        | hskp19
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X211)
        | ~ c1_1(X211)
        | ~ c2_1(X211)
        | hskp12
        | hskp10 )
      & ( ~ ndr1_0
        | c3_1(X210)
        | ~ c0_1(X210)
        | ~ c1_1(X210)
        | hskp20
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | hskp20 )
      & ( ~ ndr1_0
        | c3_1(X208)
        | ~ c0_1(X208)
        | ~ c1_1(X208)
        | hskp4
        | hskp5 )
      & ( ~ ndr1_0
        | c2_1(X207)
        | ~ c1_1(X207)
        | ~ c3_1(X207)
        | hskp2
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X206)
        | ~ c1_1(X206)
        | ~ c3_1(X206)
        | hskp25
        | hskp28 )
      & ( ~ ndr1_0
        | c2_1(X205)
        | ~ c0_1(X205)
        | ~ c3_1(X205)
        | hskp7
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X204)
        | ~ c0_1(X204)
        | ~ c3_1(X204)
        | hskp12
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X203)
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | hskp27
        | hskp23 )
      & ( ~ ndr1_0
        | c2_1(X202)
        | c3_1(X202)
        | ~ c1_1(X202)
        | hskp2
        | hskp7 )
      & ( ~ ndr1_0
        | c2_1(X201)
        | c3_1(X201)
        | ~ c1_1(X201)
        | hskp28
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ c3_1(X200)
        | ~ ndr1_0
        | c2_1(X199)
        | c3_1(X199)
        | ~ c1_1(X199)
        | hskp20 )
      & ( ~ ndr1_0
        | c2_1(X198)
        | c3_1(X198)
        | ~ c0_1(X198)
        | hskp2
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X197)
        | ~ c1_1(X197)
        | ~ c3_1(X197)
        | ~ ndr1_0
        | c2_1(X196)
        | c3_1(X196)
        | ~ c0_1(X196)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | ~ c0_1(X195)
        | ~ c3_1(X195)
        | hskp20
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X194)
        | ~ c0_1(X194)
        | ~ c3_1(X194)
        | hskp4
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X193)
        | ~ c2_1(X193)
        | ~ c3_1(X193)
        | ~ ndr1_0
        | c1_1(X192)
        | ~ c0_1(X192)
        | ~ c2_1(X192)
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X191)
        | ~ c2_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c3_1(X190)
        | ~ c2_1(X190)
        | hskp19 )
      & ( ~ ndr1_0
        | c3_1(X189)
        | ~ c0_1(X189)
        | ~ c1_1(X189)
        | ~ ndr1_0
        | c1_1(X188)
        | c3_1(X188)
        | ~ c2_1(X188) )
      & ( ~ ndr1_0
        | c1_1(X187)
        | c3_1(X187)
        | ~ c0_1(X187)
        | hskp12
        | hskp1 )
      & ( ~ ndr1_0
        | ~ c1_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c1_1(X185)
        | c3_1(X185)
        | ~ c0_1(X185)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X184)
        | c2_1(X184)
        | ~ c3_1(X184)
        | hskp18
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X183)
        | c2_1(X183)
        | ~ c3_1(X183)
        | hskp2
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X182)
        | c3_1(X182)
        | ~ c0_1(X182)
        | ~ ndr1_0
        | c1_1(X181)
        | ~ c2_1(X181)
        | ~ c3_1(X181)
        | ~ ndr1_0
        | c1_1(X180)
        | c2_1(X180)
        | ~ c3_1(X180) )
      & ( ~ ndr1_0
        | c1_1(X179)
        | ~ c0_1(X179)
        | ~ c2_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | c2_1(X178)
        | ~ c3_1(X178)
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X177)
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ ndr1_0
        | c2_1(X176)
        | ~ c0_1(X176)
        | ~ c1_1(X176)
        | ~ ndr1_0
        | c1_1(X175)
        | c2_1(X175)
        | ~ c0_1(X175) )
      & ( ~ ndr1_0
        | c3_1(X174)
        | ~ c0_1(X174)
        | ~ c1_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | ~ c2_1(X173)
        | ~ c3_1(X173)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c3_1(X172)
        | hskp16
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | ~ c1_1(X171)
        | ~ c3_1(X171)
        | hskp27
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c0_1(X169)
        | ~ c1_1(X169)
        | ~ c3_1(X169) )
      & ( ~ ndr1_0
        | c0_1(X168)
        | ~ c1_1(X168)
        | ~ c2_1(X168)
        | hskp15
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | ~ c2_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | ~ c1_1(X165)
        | ~ c2_1(X165) )
      & ( ~ ndr1_0
        | c1_1(X164)
        | c3_1(X164)
        | ~ c0_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | ~ c1_1(X163)
        | ~ c2_1(X163)
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X162)
        | ~ c1_1(X162)
        | ~ c3_1(X162)
        | ~ ndr1_0
        | c0_1(X161)
        | c3_1(X161)
        | ~ c2_1(X161)
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X160)
        | c3_1(X160)
        | ~ c1_1(X160)
        | ~ ndr1_0
        | c0_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | hskp13 )
      & ( ~ ndr1_0
        | c1_1(X158)
        | c3_1(X158)
        | ~ c2_1(X158)
        | ~ ndr1_0
        | c0_1(X157)
        | c3_1(X157)
        | ~ c2_1(X157)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X156)
        | c2_1(X156)
        | ~ c0_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c3_1(X155)
        | ~ c2_1(X155)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X154)
        | ~ c2_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c3_1(X153)
        | ~ c2_1(X153)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X152)
        | c3_1(X152)
        | ~ c0_1(X152)
        | ~ ndr1_0
        | c0_1(X151)
        | c3_1(X151)
        | ~ c1_1(X151)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | ~ c3_1(X150)
        | hskp5
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c3_1(X149)
        | hskp0
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X148)
        | ~ c1_1(X148)
        | ~ c3_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c3_1(X147)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | ~ c3_1(X145)
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | c2_1(X144)
        | ~ c1_1(X144)
        | hskp8
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X143)
        | c2_1(X143)
        | ~ c3_1(X143)
        | ~ ndr1_0
        | c0_1(X142)
        | c2_1(X142)
        | ~ c1_1(X142)
        | hskp28 )
      & ( ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | ~ c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | ~ c2_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c2_1(X139)
        | ~ c1_1(X139) )
      & ( ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | hskp27
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X137)
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X135)
        | c3_1(X135)
        | ~ c1_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c1_1(X134)
        | ~ c3_1(X134)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X133)
        | c3_1(X133)
        | ~ c2_1(X133)
        | ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | ~ c3_1(X132)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X131)
        | c2_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c3_1(X130)
        | ~ c2_1(X130)
        | ~ ndr1_0
        | c0_1(X129)
        | c1_1(X129)
        | ~ c3_1(X129) )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp26
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | ~ c2_1(X127)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X126)
        | ~ c0_1(X126)
        | ~ c3_1(X126)
        | ~ ndr1_0
        | c1_1(X125)
        | c2_1(X125)
        | ~ c0_1(X125)
        | ~ ndr1_0
        | c0_1(X124)
        | c1_1(X124)
        | ~ c2_1(X124) )
      & ( ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c3_1(X123)
        | ~ ndr1_0
        | c0_1(X122)
        | c1_1(X122)
        | ~ c2_1(X122)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X121)
        | c3_1(X121)
        | ~ c1_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120)
        | ~ ndr1_0
        | c0_1(X119)
        | c1_1(X119)
        | ~ c2_1(X119) )
      & ( ~ ndr1_0
        | c3_1(X118)
        | ~ c1_1(X118)
        | ~ c2_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | c3_1(X117)
        | hskp3 )
      & ( ~ ndr1_0
        | c1_1(X116)
        | c3_1(X116)
        | ~ c2_1(X116)
        | ~ ndr1_0
        | c0_1(X115)
        | c1_1(X115)
        | ~ c3_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c1_1(X114)
        | c3_1(X114) )
      & ( ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | c2_1(X113)
        | hskp1
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c0_1(X112)
        | ~ c2_1(X112)
        | ~ c3_1(X112)
        | ~ ndr1_0
        | c3_1(X111)
        | ~ c0_1(X111)
        | ~ c1_1(X111)
        | ~ ndr1_0
        | c0_1(X110)
        | c1_1(X110)
        | c2_1(X110) )
      & ( ~ ndr1_0
        | c0_1(X109)
        | ~ c2_1(X109)
        | ~ c3_1(X109)
        | ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | c2_1(X108)
        | hskp0 )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c1_1(a400)
        | ~ hskp0 )
      & ( c2_1(a400)
        | ~ hskp0 )
      & ( ~ c3_1(a400)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a401)
        | ~ hskp1 )
      & ( c1_1(a401)
        | ~ hskp1 )
      & ( ~ c3_1(a401)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c0_1(a402)
        | ~ hskp2 )
      & ( ~ c1_1(a402)
        | ~ hskp2 )
      & ( ~ c2_1(a402)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( ~ c0_1(a403)
        | ~ hskp3 )
      & ( ~ c2_1(a403)
        | ~ hskp3 )
      & ( ~ c3_1(a403)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a404)
        | ~ hskp4 )
      & ( c3_1(a404)
        | ~ hskp4 )
      & ( ~ c2_1(a404)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c2_1(a408)
        | ~ hskp5 )
      & ( c3_1(a408)
        | ~ hskp5 )
      & ( ~ c0_1(a408)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c2_1(a409)
        | ~ hskp6 )
      & ( ~ c0_1(a409)
        | ~ hskp6 )
      & ( ~ c3_1(a409)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a410)
        | ~ hskp7 )
      & ( ~ c1_1(a410)
        | ~ hskp7 )
      & ( ~ c3_1(a410)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c2_1(a415)
        | ~ hskp8 )
      & ( c3_1(a415)
        | ~ hskp8 )
      & ( ~ c1_1(a415)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c3_1(a416)
        | ~ hskp9 )
      & ( ~ c0_1(a416)
        | ~ hskp9 )
      & ( ~ c1_1(a416)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c1_1(a418)
        | ~ hskp10 )
      & ( ~ c0_1(a418)
        | ~ hskp10 )
      & ( ~ c2_1(a418)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( ~ c0_1(a420)
        | ~ hskp11 )
      & ( ~ c1_1(a420)
        | ~ hskp11 )
      & ( ~ c2_1(a420)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c0_1(a426)
        | ~ hskp12 )
      & ( c1_1(a426)
        | ~ hskp12 )
      & ( ~ c2_1(a426)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c1_1(a427)
        | ~ hskp13 )
      & ( c2_1(a427)
        | ~ hskp13 )
      & ( ~ c0_1(a427)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c2_1(a428)
        | ~ hskp14 )
      & ( ~ c0_1(a428)
        | ~ hskp14 )
      & ( ~ c1_1(a428)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c0_1(a430)
        | ~ hskp15 )
      & ( c2_1(a430)
        | ~ hskp15 )
      & ( ~ c3_1(a430)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c1_1(a434)
        | ~ hskp16 )
      & ( ~ c0_1(a434)
        | ~ hskp16 )
      & ( ~ c3_1(a434)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( ~ c1_1(a439)
        | ~ hskp17 )
      & ( ~ c2_1(a439)
        | ~ hskp17 )
      & ( ~ c3_1(a439)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c0_1(a440)
        | ~ hskp18 )
      & ( ~ c2_1(a440)
        | ~ hskp18 )
      & ( ~ c3_1(a440)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a445)
        | ~ hskp19 )
      & ( c3_1(a445)
        | ~ hskp19 )
      & ( ~ c0_1(a445)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a449)
        | ~ hskp20 )
      & ( c3_1(a449)
        | ~ hskp20 )
      & ( ~ c2_1(a449)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( ~ c0_1(a450)
        | ~ hskp21 )
      & ( ~ c1_1(a450)
        | ~ hskp21 )
      & ( ~ c3_1(a450)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a451)
        | ~ hskp22 )
      & ( c2_1(a451)
        | ~ hskp22 )
      & ( ~ c1_1(a451)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c1_1(a460)
        | ~ hskp23 )
      & ( ~ c2_1(a460)
        | ~ hskp23 )
      & ( ~ c3_1(a460)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c3_1(a477)
        | ~ hskp24 )
      & ( ~ c0_1(a477)
        | ~ hskp24 )
      & ( ~ c2_1(a477)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a405)
        | ~ hskp25 )
      & ( c1_1(a405)
        | ~ hskp25 )
      & ( c3_1(a405)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c1_1(a407)
        | ~ hskp26 )
      & ( c2_1(a407)
        | ~ hskp26 )
      & ( c3_1(a407)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a412)
        | ~ hskp27 )
      & ( c1_1(a412)
        | ~ hskp27 )
      & ( c2_1(a412)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a414)
        | ~ hskp28 )
      & ( c2_1(a414)
        | ~ hskp28 )
      & ( c3_1(a414)
        | ~ hskp28 )
      & ( hskp25
        | hskp24
        | hskp21 )
      & ( hskp15
        | hskp7
        | hskp3 )
      & ( hskp18
        | hskp20
        | hskp23 )
      & ( hskp8
        | hskp3
        | hskp17 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp17
    | hskp3
    | hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp3
    | hskp7
    | hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp21
    | hskp24
    | hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( c3_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( c2_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( c0_1(a414)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( c2_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c3_1(a407)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(21,negated_conjecture,
    ( c2_1(a407)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c1_1(a407)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c3_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(25,negated_conjecture,
    ( c1_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c0_1(a405)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a477) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(29,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a477) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( c3_1(a477)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a460) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(33,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a460) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( c1_1(a460)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a451) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(37,negated_conjecture,
    ( c2_1(a451)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( c0_1(a451)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a450) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(41,negated_conjecture,
    ( ~ hskp21
    | ~ c1_1(a450) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a450) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(44,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a449) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(45,negated_conjecture,
    ( c3_1(a449)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( c1_1(a449)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a445) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(49,negated_conjecture,
    ( c3_1(a445)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( c1_1(a445)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a440) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(53,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a440) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( c0_1(a440)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a439) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a439) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a439) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a434) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( ~ hskp16
    | ~ c0_1(a434) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a430) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( c2_1(a430)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( c0_1(a430)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( ndr1_0
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( ~ hskp14
    | ~ c1_1(a428) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a428) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( c2_1(a428)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(72,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a427) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(73,negated_conjecture,
    ( c2_1(a427)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( c1_1(a427)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a426) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(77,negated_conjecture,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(80,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a420) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(81,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a420) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a420) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a418) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(85,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a418) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( c1_1(a418)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a416) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( ~ hskp9
    | ~ c0_1(a416) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( c3_1(a416)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a415) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( c3_1(a415)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a410) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(97,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a410) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a409) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(101,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a409) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( c2_1(a409)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a408) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( c3_1(a408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( c2_1(a408)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a404) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( ~ hskp3
    | ~ c3_1(a403) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a403) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a403) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a402) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a402) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( c0_1(a402)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a401) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( c0_1(a401)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a400) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(125,negated_conjecture,
    ( c2_1(a400)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( hskp2
    | hskp1
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( hskp3
    | hskp25
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(137,negated_conjecture,
    ( hskp5
    | hskp26
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(140,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(141,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp0
    | hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(145,negated_conjecture,
    ( hskp9
    | hskp8
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(146,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(147,negated_conjecture,
    ( hskp10
    | c2_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(148,negated_conjecture,
    ( hskp11
    | hskp0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(149,negated_conjecture,
    ( hskp3
    | hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(150,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(152,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(154,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( hskp1
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(157,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( hskp6
    | hskp15
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(160,negated_conjecture,
    ( hskp9
    | hskp27
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp3
    | hskp16
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(163,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(165,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( hskp3
    | hskp18
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(169,negated_conjecture,
    ( hskp1
    | hskp12
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp3
    | c1_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(173,negated_conjecture,
    ( hskp3
    | hskp4
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( hskp21
    | hskp20
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | c2_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(176,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_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(178,negated_conjecture,
    ( hskp4
    | hskp28
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp23
    | hskp27
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp9
    | hskp12
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(182,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(186,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp10
    | hskp12
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( ndr1_0
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[67,10,theory(equality)]) ).

cnf(795,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[146,134]) ).

cnf(1054,negated_conjecture,
    ( hskp7
    | ndr1_0 ),
    inference(csr,[status(thm)],[192,115]) ).

cnf(1055,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1054,99]) ).

cnf(1056,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[163,1055,theory(equality)]) ).

cnf(1057,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1056,theory(equality)]) ).

cnf(1058,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,1055,theory(equality)]) ).

cnf(1059,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1058,theory(equality)]) ).

cnf(1060,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[129,1055,theory(equality)]) ).

cnf(1061,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1060,theory(equality)]) ).

cnf(1062,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X3)
    | $false ),
    inference(rw,[status(thm)],[165,1055,theory(equality)]) ).

cnf(1063,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X3) ),
    inference(cn,[status(thm)],[1062,theory(equality)]) ).

cnf(1070,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | $false ),
    inference(rw,[status(thm)],[133,1055,theory(equality)]) ).

cnf(1071,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X3) ),
    inference(cn,[status(thm)],[1070,theory(equality)]) ).

cnf(1074,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1055,theory(equality)]) ).

cnf(1075,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1074,theory(equality)]) ).

cnf(1076,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,1055,theory(equality)]) ).

cnf(1077,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1076,theory(equality)]) ).

cnf(1078,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[171,1055,theory(equality)]) ).

cnf(1079,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1078,theory(equality)]) ).

cnf(1080,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[162,1055,theory(equality)]) ).

cnf(1081,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1080,theory(equality)]) ).

cnf(1082,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[168,1055,theory(equality)]) ).

cnf(1083,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1082,theory(equality)]) ).

cnf(1084,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[175,1055,theory(equality)]) ).

cnf(1085,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1084,theory(equality)]) ).

cnf(1086,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[155,1055,theory(equality)]) ).

cnf(1087,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1086,theory(equality)]) ).

cnf(1088,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[147,1055,theory(equality)]) ).

cnf(1089,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1088,theory(equality)]) ).

cnf(1090,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[141,1055,theory(equality)]) ).

cnf(1091,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1090,theory(equality)]) ).

cnf(1092,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[795,1055,theory(equality)]) ).

cnf(1093,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1092,theory(equality)]) ).

cnf(1096,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | hskp1
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[151,1055,theory(equality)]) ).

cnf(1097,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | hskp1
    | c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1096,theory(equality)]) ).

cnf(1098,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,1055,theory(equality)]) ).

cnf(1099,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1098,theory(equality)]) ).

cnf(1100,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[144,1055,theory(equality)]) ).

cnf(1101,negated_conjecture,
    ( hskp28
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1100,theory(equality)]) ).

cnf(1102,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[154,1055,theory(equality)]) ).

cnf(1103,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1102,theory(equality)]) ).

cnf(1106,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[150,1055,theory(equality)]) ).

cnf(1107,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1106,theory(equality)]) ).

cnf(1108,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[152,1055,theory(equality)]) ).

cnf(1109,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1108,theory(equality)]) ).

cnf(1110,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[140,1055,theory(equality)]) ).

cnf(1111,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1110,theory(equality)]) ).

cnf(1114,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[132,1055,theory(equality)]) ).

cnf(1115,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1114,theory(equality)]) ).

cnf(1118,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[159,1055,theory(equality)]) ).

cnf(1119,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1118,theory(equality)]) ).

cnf(1120,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[170,1055,theory(equality)]) ).

cnf(1121,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1120,theory(equality)]) ).

cnf(1122,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[189,1055,theory(equality)]) ).

cnf(1123,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1122,theory(equality)]) ).

cnf(1124,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,1055,theory(equality)]) ).

cnf(1125,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1124,theory(equality)]) ).

cnf(1126,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,1055,theory(equality)]) ).

cnf(1127,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1126,theory(equality)]) ).

cnf(1128,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[183,1055,theory(equality)]) ).

cnf(1129,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1128,theory(equality)]) ).

cnf(1130,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,1055,theory(equality)]) ).

cnf(1131,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1130,theory(equality)]) ).

cnf(1132,negated_conjecture,
    ( hskp21
    | hskp20
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[174,1055,theory(equality)]) ).

cnf(1133,negated_conjecture,
    ( hskp21
    | hskp20
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1132,theory(equality)]) ).

cnf(1134,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1055,theory(equality)]) ).

cnf(1135,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1134,theory(equality)]) ).

cnf(1136,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[160,1055,theory(equality)]) ).

cnf(1137,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1136,theory(equality)]) ).

cnf(1138,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,1055,theory(equality)]) ).

cnf(1139,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1138,theory(equality)]) ).

cnf(1140,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[182,1055,theory(equality)]) ).

cnf(1141,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1140,theory(equality)]) ).

cnf(1142,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[158,1055,theory(equality)]) ).

cnf(1143,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1142,theory(equality)]) ).

cnf(1144,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[185,1055,theory(equality)]) ).

cnf(1145,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1144,theory(equality)]) ).

cnf(1146,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,1055,theory(equality)]) ).

cnf(1147,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1146,theory(equality)]) ).

cnf(1148,negated_conjecture,
    ( hskp4
    | hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[173,1055,theory(equality)]) ).

cnf(1149,negated_conjecture,
    ( hskp4
    | hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1148,theory(equality)]) ).

cnf(1150,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,1055,theory(equality)]) ).

cnf(1151,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1150,theory(equality)]) ).

cnf(1152,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[145,1055,theory(equality)]) ).

cnf(1153,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1152,theory(equality)]) ).

cnf(1154,negated_conjecture,
    ( hskp26
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[137,1055,theory(equality)]) ).

cnf(1155,negated_conjecture,
    ( hskp26
    | hskp5
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1154,theory(equality)]) ).

cnf(1156,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[178,1055,theory(equality)]) ).

cnf(1157,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1156,theory(equality)]) ).

cnf(1158,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[136,1055,theory(equality)]) ).

cnf(1159,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1158,theory(equality)]) ).

cnf(1160,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,1055,theory(equality)]) ).

cnf(1161,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1160,theory(equality)]) ).

cnf(1162,negated_conjecture,
    ( hskp5
    | hskp3
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[149,1055,theory(equality)]) ).

cnf(1163,negated_conjecture,
    ( hskp5
    | hskp3
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1162,theory(equality)]) ).

cnf(1164,negated_conjecture,
    ( hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[166,1055,theory(equality)]) ).

cnf(1165,negated_conjecture,
    ( hskp17
    | hskp2
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1164,theory(equality)]) ).

cnf(1166,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[176,1055,theory(equality)]) ).

cnf(1167,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1166,theory(equality)]) ).

cnf(1168,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,1055,theory(equality)]) ).

cnf(1169,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1168,theory(equality)]) ).

cnf(1170,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,1055,theory(equality)]) ).

cnf(1171,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1170,theory(equality)]) ).

cnf(1172,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[148,1055,theory(equality)]) ).

cnf(1173,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1172,theory(equality)]) ).

cnf(1174,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c2_1(X1)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[130,1055,theory(equality)]) ).

cnf(1175,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[1174,theory(equality)]) ).

cnf(1176,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | $false ),
    inference(rw,[status(thm)],[142,1055,theory(equality)]) ).

cnf(1177,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[1176,theory(equality)]) ).

cnf(1178,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1055,theory(equality)]) ).

cnf(1179,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1178,theory(equality)]) ).

cnf(1209,negated_conjecture,
    ( hskp20
    | c3_1(a400)
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1179,126,theory(equality)]) ).

cnf(1210,negated_conjecture,
    ( hskp20
    | c3_1(a401)
    | ~ c0_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1179,121,theory(equality)]) ).

cnf(1212,negated_conjecture,
    ( hskp20
    | c3_1(a426)
    | ~ c0_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1179,77,theory(equality)]) ).

cnf(1217,negated_conjecture,
    ( hskp20
    | c3_1(a460)
    | ~ c0_1(a460)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1179,34,theory(equality)]) ).

cnf(1220,negated_conjecture,
    ( hskp20
    | c3_1(a412)
    | ~ c0_1(a412)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1179,17,theory(equality)]) ).

cnf(1221,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c0_1(a400)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(a400)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1057,126,theory(equality)]) ).

cnf(1232,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c0_1(a412)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(a412)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1057,17,theory(equality)]) ).

cnf(1233,negated_conjecture,
    ( hskp20
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1209,124]) ).

cnf(1234,negated_conjecture,
    ( hskp20
    | c3_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1210,122]) ).

cnf(1235,negated_conjecture,
    ( hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1234,120]) ).

cnf(1238,negated_conjecture,
    ( hskp20
    | c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1212,78]) ).

cnf(1245,negated_conjecture,
    ( hskp20
    | ~ hskp23
    | ~ c0_1(a460) ),
    inference(csr,[status(thm)],[1217,32]) ).

cnf(1248,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a400)
    | ~ c2_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1123,126,theory(equality)]) ).

cnf(1257,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a405)
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1123,25,theory(equality)]) ).

cnf(1258,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a407)
    | ~ c2_1(a407)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1123,22,theory(equality)]) ).

cnf(1259,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a412)
    | ~ c2_1(a412)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1123,17,theory(equality)]) ).

cnf(1260,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(a401)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1059,122,theory(equality)]) ).

cnf(1265,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a430)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(a430)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1059,66,theory(equality)]) ).

cnf(1273,negated_conjecture,
    ( hskp20
    | c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1220,18]) ).

cnf(1282,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c3_1(a405)
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1125,26,theory(equality)]) ).

cnf(1283,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1125,18,theory(equality)]) ).

cnf(1284,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1125,14,theory(equality)]) ).

cnf(1293,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c3_1(a405)
    | ~ c2_1(a405)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1127,26,theory(equality)]) ).

cnf(1294,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1127,18,theory(equality)]) ).

cnf(1295,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1127,14,theory(equality)]) ).

cnf(1296,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1248,125]) ).

cnf(1309,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(a418)
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1129,86,theory(equality)]) ).

cnf(1310,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(a426)
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1129,77,theory(equality)]) ).

cnf(1314,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(a449)
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1129,46,theory(equality)]) ).

cnf(1326,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ c1_1(X2)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1061,38,theory(equality)]) ).

cnf(1329,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ c1_1(X2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1061,14,theory(equality)]) ).

cnf(1331,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a401)
    | ~ c0_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1131,121,theory(equality)]) ).

cnf(1333,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a426)
    | ~ c0_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1131,77,theory(equality)]) ).

cnf(1337,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a449)
    | ~ c0_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1131,46,theory(equality)]) ).

cnf(1339,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a405)
    | ~ c0_1(a405)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1131,25,theory(equality)]) ).

cnf(1342,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp2
    | ~ c0_1(a402)
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,1133,theory(equality)]) ).

cnf(1344,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp8
    | ~ c0_1(a415)
    | ~ c3_1(a415) ),
    inference(spm,[status(thm)],[92,1133,theory(equality)]) ).

cnf(1354,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | hskp21
    | hskp20
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1129,1133,theory(equality)]) ).

cnf(1355,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(X1)
    | hskp21
    | hskp20
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1131,1133,theory(equality)]) ).

cnf(1356,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[1342,118]) ).

cnf(1369,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp25
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[1257,26]) ).

cnf(1370,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp26
    | ~ c0_1(a407) ),
    inference(csr,[status(thm)],[1258,21]) ).

cnf(1371,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(a400)
    | ~ c2_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1135,126,theory(equality)]) ).

cnf(1372,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(a401)
    | ~ c2_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1135,121,theory(equality)]) ).

cnf(1376,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(a434)
    | ~ c2_1(a434)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1135,62,theory(equality)]) ).

cnf(1387,negated_conjecture,
    ( c3_1(a410)
    | c2_1(a410)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1063,98,theory(equality)]) ).

cnf(1395,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp8
    | ~ c0_1(a415) ),
    inference(csr,[status(thm)],[1344,93]) ).

cnf(1405,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp27
    | ~ c0_1(a412) ),
    inference(csr,[status(thm)],[1259,16]) ).

cnf(1406,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1405,18]) ).

cnf(1423,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a427)
    | ~ c3_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1137,74,theory(equality)]) ).

cnf(1425,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a445)
    | ~ c3_1(a445)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1137,50,theory(equality)]) ).

cnf(1426,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a449)
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1137,46,theory(equality)]) ).

cnf(1429,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a407)
    | ~ c3_1(a407)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1137,22,theory(equality)]) ).

cnf(1451,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(a404)
    | ~ c3_1(a404)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1139,110,theory(equality)]) ).

cnf(1457,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(a405)
    | ~ c3_1(a405)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1139,26,theory(equality)]) ).

cnf(1461,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a402)
    | ~ c3_1(a402)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1141,118,theory(equality)]) ).

cnf(1462,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a404)
    | ~ c3_1(a404)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1141,110,theory(equality)]) ).

cnf(1464,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a426)
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1141,78,theory(equality)]) ).

cnf(1480,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp25
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[1282,24]) ).

cnf(1481,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp27
    | ~ c3_1(a412) ),
    inference(csr,[status(thm)],[1283,16]) ).

cnf(1483,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(a400)
    | ~ c2_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1143,126,theory(equality)]) ).

cnf(1487,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(a427)
    | ~ c2_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1143,74,theory(equality)]) ).

cnf(1488,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(a434)
    | ~ c2_1(a434)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1143,62,theory(equality)]) ).

cnf(1509,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(a401)
    | ~ c0_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1145,121,theory(equality)]) ).

cnf(1519,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(a412)
    | ~ c0_1(a412)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1145,17,theory(equality)]) ).

cnf(1523,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(a418)
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1147,86,theory(equality)]) ).

cnf(1527,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(a445)
    | ~ c3_1(a445)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1147,50,theory(equality)]) ).

cnf(1528,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(a449)
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1147,46,theory(equality)]) ).

cnf(1534,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp2
    | ~ c0_1(a402)
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,1149,theory(equality)]) ).

cnf(1554,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp28
    | ~ c3_1(a414) ),
    inference(csr,[status(thm)],[1284,13]) ).

cnf(1555,negated_conjecture,
    ( hskp22
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1554,12]) ).

cnf(1570,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(a418)
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1151,86,theory(equality)]) ).

cnf(1571,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(a426)
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1151,77,theory(equality)]) ).

cnf(1575,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(a449)
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1151,46,theory(equality)]) ).

cnf(1594,negated_conjecture,
    ( hskp4
    | hskp3
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[1534,118]) ).

cnf(1609,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp25
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[1293,24]) ).

cnf(1610,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp27
    | ~ c3_1(a412) ),
    inference(csr,[status(thm)],[1294,16]) ).

cnf(1611,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp20
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1610,1273,theory(equality)]) ).

cnf(1614,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a418)
    | c2_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1153,86,theory(equality)]) ).

cnf(1617,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a434)
    | c2_1(a434)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1153,62,theory(equality)]) ).

cnf(1620,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a460)
    | c2_1(a460)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1153,34,theory(equality)]) ).

cnf(1634,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(a460)
    | c3_1(X1)
    | c2_1(a460)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1071,34,theory(equality)]) ).

cnf(1652,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp28
    | ~ c3_1(a414) ),
    inference(csr,[status(thm)],[1295,13]) ).

cnf(1653,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1652,12]) ).

cnf(1660,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[1309,84]) ).

cnf(1663,negated_conjecture,
    ( hskp26
    | hskp5
    | c0_1(a415)
    | ~ hskp8
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,1155,theory(equality)]) ).

cnf(1702,negated_conjecture,
    ( hskp26
    | hskp5
    | c0_1(a415)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1663,94]) ).

cnf(1712,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[1310,76]) ).

cnf(1713,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1712,1238,theory(equality)]) ).

cnf(1714,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp25
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1653,1713,theory(equality)]) ).

cnf(1717,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a418)
    | c2_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1157,86,theory(equality)]) ).

cnf(1718,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a426)
    | c2_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1157,77,theory(equality)]) ).

cnf(1720,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a434)
    | c2_1(a434)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1157,62,theory(equality)]) ).

cnf(1723,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a460)
    | c2_1(a460)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1157,34,theory(equality)]) ).

cnf(1737,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ c2_1(X1)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1075,38,theory(equality)]) ).

cnf(1738,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a405)
    | ~ c2_1(a405)
    | ~ c2_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1075,26,theory(equality)]) ).

cnf(1740,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ c2_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1075,14,theory(equality)]) ).

cnf(1741,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | hskp26
    | hskp5
    | ~ c0_1(X1)
    | ~ c3_1(a415)
    | ~ c2_1(a415)
    | ~ c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1075,1702,theory(equality)]) ).

cnf(1759,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1314,45]) ).

cnf(1760,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1759,44]) ).

cnf(1761,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp25
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1653,1760,theory(equality)]) ).

cnf(1764,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a415)
    | ~ hskp8
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,1159,theory(equality)]) ).

cnf(1765,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a416)
    | ~ hskp9
    | ~ c2_1(a416) ),
    inference(spm,[status(thm)],[88,1159,theory(equality)]) ).

cnf(1767,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a428)
    | ~ hskp14
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[68,1159,theory(equality)]) ).

cnf(1769,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a450)
    | ~ hskp21
    | ~ c2_1(a450) ),
    inference(spm,[status(thm)],[41,1159,theory(equality)]) ).

cnf(1781,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(X1)
    | hskp25
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[1147,1159,theory(equality)]) ).

cnf(1793,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ c1_1(X1)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1077,38,theory(equality)]) ).

cnf(1795,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1077,18,theory(equality)]) ).

cnf(1796,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ c1_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1077,14,theory(equality)]) ).

cnf(1820,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1331,122]) ).

cnf(1823,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(a402)
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,1161,theory(equality)]) ).

cnf(1826,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(a416)
    | ~ hskp9
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[88,1161,theory(equality)]) ).

cnf(1827,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(a420)
    | ~ hskp11
    | ~ c3_1(a420) ),
    inference(spm,[status(thm)],[81,1161,theory(equality)]) ).

cnf(1857,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ c3_1(a414)
    | ~ c2_1(a414)
    | ~ c2_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1079,14,theory(equality)]) ).

cnf(1859,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a415)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1764,94]) ).

cnf(1865,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp25
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1395,1859,theory(equality)]) ).

cnf(1869,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | hskp25
    | ~ c0_1(X1)
    | ~ c3_1(a415)
    | ~ c2_1(a415)
    | ~ c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1075,1859,theory(equality)]) ).

cnf(1872,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp9
    | ~ c2_1(a416) ),
    inference(csr,[status(thm)],[1765,89]) ).

cnf(1877,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1333,78]) ).

cnf(1878,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1877,76]) ).

cnf(1888,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a416)
    | ~ hskp9
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[89,1163,theory(equality)]) ).

cnf(1889,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a418)
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(spm,[status(thm)],[85,1163,theory(equality)]) ).

cnf(1894,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a445)
    | ~ hskp19
    | ~ c3_1(a445) ),
    inference(spm,[status(thm)],[48,1163,theory(equality)]) ).

cnf(1896,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a477)
    | ~ hskp24
    | ~ c3_1(a477) ),
    inference(spm,[status(thm)],[29,1163,theory(equality)]) ).

cnf(1914,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(a401)
    | ~ c0_1(a401)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1081,121,theory(equality)]) ).

cnf(1933,negated_conjecture,
    ( hskp25
    | hskp3
    | c0_1(a428)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[1767,70]) ).

cnf(1934,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp14 ),
    inference(csr,[status(thm)],[1933,69]) ).

cnf(1938,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp21
    | ~ c2_1(a450) ),
    inference(csr,[status(thm)],[1769,42]) ).

cnf(1942,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp20
    | ~ c0_1(a449) ),
    inference(csr,[status(thm)],[1337,44]) ).

cnf(1944,negated_conjecture,
    ( hskp27
    | hskp23
    | c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[1339,26]) ).

cnf(1945,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp27
    | hskp23
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1369,1944,theory(equality)]) ).

cnf(1946,negated_conjecture,
    ( hskp22
    | hskp11
    | hskp27
    | hskp23
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1480,1944,theory(equality)]) ).

cnf(1947,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp27
    | hskp23
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1609,1944,theory(equality)]) ).

cnf(1949,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp19
    | ~ hskp25 ),
    inference(csr,[status(thm)],[1945,1406]) ).

cnf(1953,negated_conjecture,
    ( hskp17
    | hskp2
    | c2_1(a416)
    | ~ hskp9
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[88,1165,theory(equality)]) ).

cnf(1979,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a427)
    | ~ c2_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1083,74,theory(equality)]) ).

cnf(1985,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a407)
    | ~ c2_1(a407)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1083,22,theory(equality)]) ).

cnf(1996,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[1823,116]) ).

cnf(2006,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1371,125]) ).

cnf(2007,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2006,124]) ).

cnf(2008,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[1372,120]) ).

cnf(2009,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp27
    | hskp23
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2008,1820,theory(equality)]) ).

cnf(2010,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2009,1878]) ).

cnf(2014,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a410)
    | c2_1(a410)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1167,98,theory(equality)]) ).

cnf(2017,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a440)
    | c2_1(a440)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1167,54,theory(equality)]) ).

cnf(2025,negated_conjecture,
    ( hskp22
    | c3_1(a401)
    | c2_1(X1)
    | c2_1(a401)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1085,122,theory(equality)]) ).

cnf(2026,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | c2_1(X1)
    | c2_1(a402)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1085,118,theory(equality)]) ).

cnf(2028,negated_conjecture,
    ( hskp22
    | c3_1(a410)
    | c2_1(X1)
    | c2_1(a410)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1085,98,theory(equality)]) ).

cnf(2031,negated_conjecture,
    ( hskp22
    | c3_1(a440)
    | c2_1(X1)
    | c2_1(a440)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1085,54,theory(equality)]) ).

cnf(2039,negated_conjecture,
    ( hskp18
    | hskp3
    | c2_1(a416)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1826,90]) ).

cnf(2042,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp18
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1872,2039,theory(equality)]) ).

cnf(2043,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ hskp11
    | ~ c3_1(a420) ),
    inference(csr,[status(thm)],[1827,80]) ).

cnf(2047,negated_conjecture,
    ( hskp12
    | hskp10
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[1376,60]) ).

cnf(2058,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a401)
    | c2_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1169,121,theory(equality)]) ).

cnf(2059,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a418)
    | c2_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1169,86,theory(equality)]) ).

cnf(2060,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a426)
    | c2_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1169,77,theory(equality)]) ).

cnf(2062,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a434)
    | c2_1(a434)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1169,62,theory(equality)]) ).

cnf(2065,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a460)
    | c2_1(a460)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1169,34,theory(equality)]) ).

cnf(2082,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a449)
    | ~ c3_1(a449)
    | ~ c2_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1087,46,theory(equality)]) ).

cnf(2116,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a402)
    | ~ hskp2
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,1171,theory(equality)]) ).

cnf(2117,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a410)
    | ~ hskp7
    | ~ c0_1(a410) ),
    inference(spm,[status(thm)],[97,1171,theory(equality)]) ).

cnf(2122,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a439)
    | ~ hskp17
    | ~ c0_1(a439) ),
    inference(spm,[status(thm)],[58,1171,theory(equality)]) ).

cnf(2125,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | hskp12
    | hskp1
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1179,1171,theory(equality)]) ).

cnf(2150,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(a445)
    | c2_1(X1)
    | ~ c3_1(a445)
    | ~ c3_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1089,50,theory(equality)]) ).

cnf(2151,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(a449)
    | c2_1(X1)
    | ~ c3_1(a449)
    | ~ c3_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1089,46,theory(equality)]) ).

cnf(2166,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a416)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1888,90]) ).

cnf(2180,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[1423,72]) ).

cnf(2186,negated_conjecture,
    ( hskp11
    | c2_1(a418)
    | hskp0
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(spm,[status(thm)],[85,1173,theory(equality)]) ).

cnf(2193,negated_conjecture,
    ( hskp11
    | c2_1(a477)
    | hskp0
    | ~ hskp24
    | ~ c3_1(a477) ),
    inference(spm,[status(thm)],[29,1173,theory(equality)]) ).

cnf(2205,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | hskp11
    | hskp0
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1141,1173,theory(equality)]) ).

cnf(2214,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c3_1(a401)
    | c1_1(X1)
    | ~ c0_1(a401)
    | ~ c3_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1091,121,theory(equality)]) ).

cnf(2232,negated_conjecture,
    ( hskp5
    | hskp3
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[1889,84]) ).

cnf(2240,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a445)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1425,49]) ).

cnf(2241,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2240,48]) ).

cnf(2245,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1426,45]) ).

cnf(2252,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a449)
    | hskp27
    | hskp9
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1141,2245,theory(equality)]) ).

cnf(2256,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1942,2245,theory(equality)]) ).

cnf(2263,negated_conjecture,
    ( hskp2
    | c0_1(a420)
    | hskp1
    | c2_1(a420)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[81,1175,theory(equality)]) ).

cnf(2265,negated_conjecture,
    ( hskp2
    | c0_1(a439)
    | hskp1
    | c2_1(a439)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[58,1175,theory(equality)]) ).

cnf(2266,negated_conjecture,
    ( hskp2
    | c0_1(a450)
    | hskp1
    | c2_1(a450)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[41,1175,theory(equality)]) ).

cnf(2285,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[1169,1175,theory(equality)]) ).

cnf(2293,negated_conjecture,
    ( hskp4
    | c0_1(a445)
    | c2_1(a445)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1093,49,theory(equality)]) ).

cnf(2294,negated_conjecture,
    ( hskp4
    | c0_1(a449)
    | c2_1(a449)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1093,45,theory(equality)]) ).

cnf(2295,negated_conjecture,
    ( hskp4
    | c0_1(a477)
    | c2_1(a477)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1093,30,theory(equality)]) ).

cnf(2309,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a445)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1894,49]) ).

cnf(2317,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(a407)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1429,20]) ).

cnf(2322,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp27
    | hskp9
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1370,2317,theory(equality)]) ).

cnf(2331,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp9
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2322,1406]) ).

cnf(2336,negated_conjecture,
    ( hskp27
    | c3_1(a403)
    | c2_1(a403)
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[114,1177,theory(equality)]) ).

cnf(2340,negated_conjecture,
    ( hskp27
    | c3_1(a418)
    | c2_1(a418)
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[85,1177,theory(equality)]) ).

cnf(2341,negated_conjecture,
    ( hskp27
    | c3_1(a420)
    | c2_1(a420)
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[82,1177,theory(equality)]) ).

cnf(2344,negated_conjecture,
    ( hskp27
    | c3_1(a434)
    | c2_1(a434)
    | hskp0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[61,1177,theory(equality)]) ).

cnf(2346,negated_conjecture,
    ( hskp27
    | c3_1(a450)
    | c2_1(a450)
    | hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[42,1177,theory(equality)]) ).

cnf(2349,negated_conjecture,
    ( hskp20
    | hskp27
    | c3_1(a460)
    | c2_1(a460)
    | hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1245,1177,theory(equality)]) ).

cnf(2388,negated_conjecture,
    ( hskp5
    | hskp3
    | c2_1(a477)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[1896,30]) ).

cnf(2389,negated_conjecture,
    ( hskp5
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2388,28]) ).

cnf(2390,negated_conjecture,
    ( hskp5
    | hskp3
    | hskp25
    | hskp21 ),
    inference(spm,[status(thm)],[2389,11,theory(equality)]) ).

cnf(2401,negated_conjecture,
    ( c0_1(a418)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(a418)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1119,86,theory(equality)]) ).

cnf(2403,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1119,74,theory(equality)]) ).

cnf(2405,negated_conjecture,
    ( c0_1(a445)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(a445)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1119,50,theory(equality)]) ).

cnf(2406,negated_conjecture,
    ( c0_1(a449)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1119,46,theory(equality)]) ).

cnf(2420,negated_conjecture,
    ( c0_1(a408)
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c3_1(a408)
    | ~ c2_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1097,106,theory(equality)]) ).

cnf(2439,negated_conjecture,
    ( hskp17
    | hskp2
    | c2_1(a416)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1953,90]) ).

cnf(2450,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(a404)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[1451,109]) ).

cnf(2451,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2450,108]) ).

cnf(2452,negated_conjecture,
    ( c3_1(a400)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1121,126,theory(equality)]) ).

cnf(2453,negated_conjecture,
    ( c3_1(a401)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(a401)
    | ~ c2_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1121,121,theory(equality)]) ).

cnf(2460,negated_conjecture,
    ( c3_1(a460)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(a460)
    | ~ c2_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1121,34,theory(equality)]) ).

cnf(2476,negated_conjecture,
    ( c0_1(a427)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1099,74,theory(equality)]) ).

cnf(2478,negated_conjecture,
    ( c0_1(a445)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a445)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1099,50,theory(equality)]) ).

cnf(2514,negated_conjecture,
    ( hskp12
    | hskp9
    | c2_1(a405)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[1457,24]) ).

cnf(2517,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp12
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1609,2514,theory(equality)]) ).

cnf(2522,negated_conjecture,
    ( hskp28
    | c0_1(a418)
    | c2_1(X1)
    | c2_1(a418)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1101,86,theory(equality)]) ).

cnf(2548,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(a460)
    | c3_1(X1)
    | c2_1(a460)
    | ~ c2_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1103,34,theory(equality)]) ).

cnf(2560,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a402)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2116,118]) ).

cnf(2561,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp12
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1356,2560,theory(equality)]) ).

cnf(2568,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2561,1235]) ).

cnf(2569,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2517,2451]) ).

cnf(2571,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp4
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2569,1761,theory(equality)]) ).

cnf(2573,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2571,2451]) ).

cnf(2602,negated_conjecture,
    ( hskp9
    | c0_1(a427)
    | c3_1(X1)
    | c3_1(a427)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1107,74,theory(equality)]) ).

cnf(2603,negated_conjecture,
    ( hskp9
    | c0_1(a434)
    | c3_1(X1)
    | c3_1(a434)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1107,62,theory(equality)]) ).

cnf(2606,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(X1)
    | c3_1(a460)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1107,34,theory(equality)]) ).

cnf(2618,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2117,98]) ).

cnf(2619,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2618,96]) ).

cnf(2632,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[1461,116]) ).

cnf(2633,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp12
    | hskp1
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2632,2560,theory(equality)]) ).

cnf(2634,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2633,2619]) ).

cnf(2635,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(a404)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[1462,109]) ).

cnf(2636,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2635,108]) ).

cnf(2637,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[1464,76]) ).

cnf(2638,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2637,1238,theory(equality)]) ).

cnf(2640,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a402)
    | c1_1(a402)
    | ~ c2_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1109,118,theory(equality)]) ).

cnf(2665,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(a460)
    | c2_1(a460)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1111,34,theory(equality)]) ).

cnf(2676,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | hskp2
    | c0_1(X2)
    | hskp1
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1111,1175,theory(equality)]) ).

cnf(2680,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp17
    | ~ c0_1(a439) ),
    inference(csr,[status(thm)],[2122,56]) ).

cnf(2683,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp27
    | c3_1(a439)
    | c2_1(a439)
    | hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2680,1177,theory(equality)]) ).

cnf(2723,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(a400)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1115,126,theory(equality)]) ).

cnf(2786,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c0_1(a400)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1221,125]) ).

cnf(2795,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a460)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1)
    | ~ hskp0
    | ~ hskp23 ),
    inference(spm,[status(thm)],[2786,34,theory(equality)]) ).

cnf(2850,negated_conjecture,
    ( hskp11
    | hskp0
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[2186,84]) ).

cnf(2889,negated_conjecture,
    ( hskp11
    | c2_1(a477)
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2193,30]) ).

cnf(2890,negated_conjecture,
    ( hskp11
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2889,28]) ).

cnf(2891,negated_conjecture,
    ( hskp11
    | hskp0
    | hskp25
    | hskp21 ),
    inference(spm,[status(thm)],[2890,11,theory(equality)]) ).

cnf(2932,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1483,125]) ).

cnf(2933,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1233,2932,theory(equality)]) ).

cnf(2937,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp15
    | hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1296,2932,theory(equality)]) ).

cnf(2956,negated_conjecture,
    ( hskp2
    | c0_1(a420)
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2263,80]) ).

cnf(2957,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2956,82]) ).

cnf(2961,negated_conjecture,
    ( hskp2
    | c0_1(a439)
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2265,57]) ).

cnf(2972,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a439)
    | c2_1(a439)
    | hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1167,2961,theory(equality)]) ).

cnf(2981,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp24
    | hskp15
    | hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2241,2937,theory(equality)]) ).

cnf(2995,negated_conjecture,
    ( hskp2
    | hskp1
    | c2_1(a450)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2266,42]) ).

cnf(2998,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp2
    | hskp1
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1938,2995,theory(equality)]) ).

cnf(3003,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp2
    | hskp1
    | hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2998,1865,theory(equality)]) ).

cnf(3015,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3003,1235]) ).

cnf(3030,negated_conjecture,
    ( hskp27
    | c3_1(a403)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2336,113]) ).

cnf(3031,negated_conjecture,
    ( hskp27
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3030,112]) ).

cnf(3068,negated_conjecture,
    ( hskp27
    | c3_1(a418)
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2340,84]) ).

cnf(3071,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp27
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1660,3068,theory(equality)]) ).

cnf(3073,negated_conjecture,
    ( hskp5
    | hskp3
    | hskp27
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2232,3068,theory(equality)]) ).

cnf(3076,negated_conjecture,
    ( hskp11
    | hskp0
    | hskp27
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2850,3068,theory(equality)]) ).

cnf(3089,negated_conjecture,
    ( hskp27
    | hskp5
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3073,3031]) ).

cnf(3101,negated_conjecture,
    ( hskp27
    | c3_1(a420)
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2341,80]) ).

cnf(3104,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp27
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2043,3101,theory(equality)]) ).

cnf(3109,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[3104,3031]) ).

cnf(3152,negated_conjecture,
    ( hskp27
    | c2_1(a434)
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2344,60]) ).

cnf(3154,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp27
    | hskp0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2047,3152,theory(equality)]) ).

cnf(3158,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp10
    | ~ hskp16 ),
    inference(csr,[status(thm)],[3154,2007]) ).

cnf(3208,negated_conjecture,
    ( hskp27
    | c2_1(a450)
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2346,40]) ).

cnf(3211,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp27
    | hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1938,3208,theory(equality)]) ).

cnf(3216,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3211,3031]) ).

cnf(3217,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | hskp20
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3216,1865,theory(equality)]) ).

cnf(3218,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | hskp5
    | hskp3 ),
    inference(spm,[status(thm)],[3216,2390,theory(equality)]) ).

cnf(3220,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | hskp20
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[3216,2568,theory(equality)]) ).

cnf(3224,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | hskp11 ),
    inference(spm,[status(thm)],[3216,2891,theory(equality)]) ).

cnf(3228,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[3218,3031]) ).

cnf(3238,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp27
    | ~ c0_1(a412)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1232,16]) ).

cnf(3239,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3238,18]) ).

cnf(3243,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a426)
    | c1_1(X1)
    | ~ hskp27
    | ~ c0_1(a426)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3239,77,theory(equality)]) ).

cnf(3247,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a449)
    | c1_1(X1)
    | ~ hskp27
    | ~ c0_1(a449)
    | ~ c0_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3239,46,theory(equality)]) ).

cnf(3270,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp0
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3217,3031]) ).

cnf(3272,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4
    | hskp25
    | hskp12
    | hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1611,3220,theory(equality)]) ).

cnf(3283,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ hskp1
    | ~ c3_1(X2)
    | ~ c2_1(a401)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1260,120]) ).

cnf(3288,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(a401)
    | ~ c2_1(X1)
    | ~ c2_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3283,74,theory(equality)]) ).

cnf(3349,negated_conjecture,
    ( hskp27
    | hskp20
    | c3_1(a460)
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2349,33]) ).

cnf(3350,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp0
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3349,32]) ).

cnf(3351,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp0
    | hskp18 ),
    inference(spm,[status(thm)],[3350,9,theory(equality)]) ).

cnf(3352,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3350,1878,theory(equality)]) ).

cnf(3353,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp0
    | hskp9
    | hskp4
    | ~ hskp25 ),
    inference(spm,[status(thm)],[3350,1947,theory(equality)]) ).

cnf(3375,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4
    | hskp0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[3353,1611]) ).

cnf(3405,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp9
    | hskp4
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3272,1714]) ).

cnf(3406,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[3405,3375]) ).

cnf(3409,negated_conjecture,
    ( hskp15
    | hskp6
    | c0_1(a427)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[1487,73]) ).

cnf(3410,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[3409,72]) ).

cnf(3432,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp1
    | c3_1(a439)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2972,57]) ).

cnf(3433,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3432,56]) ).

cnf(3434,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3433,2957]) ).

cnf(3435,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[3434,8,theory(equality)]) ).

cnf(3440,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | hskp2
    | hskp1 ),
    inference(spm,[status(thm)],[3015,3435,theory(equality)]) ).

cnf(3441,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp0
    | hskp3
    | hskp2
    | hskp1 ),
    inference(spm,[status(thm)],[3270,3435,theory(equality)]) ).

cnf(3446,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | hskp2 ),
    inference(csr,[status(thm)],[3440,1235]) ).

cnf(3454,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[1488,61]) ).

cnf(3455,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp27
    | hskp0
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3454,3152,theory(equality)]) ).

cnf(3474,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp3
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[3441,3446]) ).

cnf(3475,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp2
    | hskp0 ),
    inference(csr,[status(thm)],[3474,3031]) ).

cnf(3476,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4
    | hskp25
    | hskp2
    | hskp0 ),
    inference(spm,[status(thm)],[1611,3475,theory(equality)]) ).

cnf(3479,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp9
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[3476,3406]) ).

cnf(3480,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4
    | hskp0 ),
    inference(csr,[status(thm)],[3479,3375]) ).

cnf(3493,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a430)
    | c1_1(X2)
    | ~ hskp15
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1265,65]) ).

cnf(3494,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X2)
    | ~ hskp15
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3493,64]) ).

cnf(3495,negated_conjecture,
    ( c0_1(a400)
    | c1_1(X1)
    | ~ hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a400)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3494,126,theory(equality)]) ).

cnf(3499,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a427)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3494,74,theory(equality)]) ).

cnf(3923,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp1
    | c3_1(a439)
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2683,57]) ).

cnf(3924,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp1
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3923,56]) ).

cnf(3925,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp1
    | hskp0
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[3924,8,theory(equality)]) ).

cnf(3928,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp8
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[3925,3031]) ).

cnf(3931,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp0
    | hskp12
    | hskp1 ),
    inference(spm,[status(thm)],[3270,3928,theory(equality)]) ).

cnf(3933,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[3931,1235]) ).

cnf(3934,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[3933,3352]) ).

cnf(4020,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1509,122]) ).

cnf(4021,negated_conjecture,
    ( hskp5
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[4020,120]) ).

cnf(4060,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(X2)
    | ~ c3_1(a451)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1326,37]) ).

cnf(4062,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(a401)
    | ~ c3_1(a451)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[4060,121,theory(equality)]) ).

cnf(4214,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ c0_1(X2)
    | ~ c3_1(a414)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1329,13]) ).

cnf(4215,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[4214,12]) ).

cnf(4217,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ c0_1(a401)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[4215,121,theory(equality)]) ).

cnf(4236,negated_conjecture,
    ( c0_1(a400)
    | c1_1(X1)
    | ~ hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[3495,125]) ).

cnf(4239,negated_conjecture,
    ( c0_1(a400)
    | ~ hskp8
    | ~ hskp15
    | ~ c3_1(a415)
    | ~ c2_1(a415)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[92,4236,theory(equality)]) ).

cnf(4245,negated_conjecture,
    ( c0_1(a400)
    | ~ hskp22
    | ~ hskp15
    | ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[36,4236,theory(equality)]) ).

cnf(4297,negated_conjecture,
    ( c0_1(a400)
    | ~ hskp15
    | ~ hskp8
    | ~ c3_1(a415)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4239,94]) ).

cnf(4298,negated_conjecture,
    ( c0_1(a400)
    | ~ hskp15
    | ~ hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4297,93]) ).

cnf(4299,negated_conjecture,
    ( hskp20
    | ~ hskp0
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1233,4298,theory(equality)]) ).

cnf(4303,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ hskp0
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1296,4298,theory(equality)]) ).

cnf(4318,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp24
    | ~ hskp15
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2241,4303,theory(equality)]) ).

cnf(4446,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp21
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[1354,1760]) ).

cnf(4449,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp21
    | c2_1(a404)
    | ~ c3_1(a404)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[4446,110,theory(equality)]) ).

cnf(4493,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp21
    | hskp20
    | c2_1(a404)
    | ~ c3_1(a404)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1355,110,theory(equality)]) ).

cnf(4564,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp21
    | c2_1(a404)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[4449,109]) ).

cnf(4565,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp21
    | ~ hskp4 ),
    inference(csr,[status(thm)],[4564,108]) ).

cnf(4568,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp0
    | hskp28
    | ~ hskp4 ),
    inference(spm,[status(thm)],[3216,4565,theory(equality)]) ).

cnf(4656,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ hskp7
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1387,96]) ).

cnf(4695,negated_conjecture,
    ( hskp5
    | hskp4
    | c3_1(a412)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1519,18]) ).

cnf(4696,negated_conjecture,
    ( hskp22
    | hskp11
    | hskp5
    | hskp4
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1481,4695,theory(equality)]) ).

cnf(4699,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp5
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1610,4695,theory(equality)]) ).

cnf(4721,negated_conjecture,
    ( c0_1(a400)
    | ~ hskp22
    | ~ hskp15
    | ~ c3_1(a451)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[4245,37]) ).

cnf(4722,negated_conjecture,
    ( hskp20
    | ~ hskp0
    | ~ hskp22
    | ~ hskp15
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[1233,4721,theory(equality)]) ).

cnf(4947,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[1523,85]) ).

cnf(4948,negated_conjecture,
    ( hskp16
    | hskp3
    | hskp27
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[4947,3068,theory(equality)]) ).

cnf(4956,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[4948,3031]) ).

cnf(4958,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp6
    | hskp0
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3455,4956,theory(equality)]) ).

cnf(4960,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp6
    | hskp0
    | hskp23
    | ~ hskp1 ),
    inference(spm,[status(thm)],[4958,2010,theory(equality)]) ).

cnf(5053,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(a445)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1527,49]) ).

cnf(5054,negated_conjecture,
    ( hskp16
    | hskp3
    | ~ hskp19 ),
    inference(csr,[status(thm)],[5053,48]) ).

cnf(5055,negated_conjecture,
    ( hskp16
    | hskp3
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[5054,1406,theory(equality)]) ).

cnf(5057,negated_conjecture,
    ( hskp16
    | hskp3
    | hskp24
    | hskp23
    | ~ hskp25 ),
    inference(spm,[status(thm)],[5054,1949,theory(equality)]) ).

cnf(5086,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp10
    | hskp24
    | hskp23
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[3158,5057,theory(equality)]) ).

cnf(5101,negated_conjecture,
    ( hskp16
    | hskp3
    | c0_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1528,45]) ).

cnf(5112,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp16
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1942,5101,theory(equality)]) ).

cnf(5130,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp10
    | hskp23
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3158,5112,theory(equality)]) ).

cnf(5132,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp10
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[5130,1878]) ).

cnf(5135,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp25
    | hskp0
    | hskp23
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3071,5132,theory(equality)]) ).

cnf(5162,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23
    | hskp10
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[5086,1878]) ).

cnf(5164,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp0
    | hskp24
    | hskp23
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[3076,5162,theory(equality)]) ).

cnf(5166,negated_conjecture,
    ( hskp27
    | hskp5
    | hskp0
    | hskp24
    | hskp23
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[3089,5162,theory(equality)]) ).

cnf(5176,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp25
    | hskp23
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[5135,3934]) ).

cnf(5177,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp25
    | hskp23
    | hskp0 ),
    inference(csr,[status(thm)],[5176,3031]) ).

cnf(5183,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23
    | hskp11
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[5164,3224]) ).

cnf(5184,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23
    | hskp11
    | hskp0 ),
    inference(csr,[status(thm)],[5183,3031]) ).

cnf(5185,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp11
    | hskp0 ),
    inference(csr,[status(thm)],[5184,2890]) ).

cnf(5205,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23
    | hskp5
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[5166,3228]) ).

cnf(5206,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp23
    | hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[5205,3031]) ).

cnf(5207,negated_conjecture,
    ( hskp5
    | hskp3
    | hskp27
    | hskp23
    | hskp0 ),
    inference(spm,[status(thm)],[2389,5206,theory(equality)]) ).

cnf(5209,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp5
    | hskp0 ),
    inference(csr,[status(thm)],[5207,3031]) ).

cnf(5539,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[1570,84]) ).

cnf(5575,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[1571,76]) ).

cnf(5576,negated_conjecture,
    ( hskp13
    | hskp2
    | hskp20
    | ~ hskp12 ),
    inference(spm,[status(thm)],[5575,1238,theory(equality)]) ).

cnf(5586,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp20
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3410,5576,theory(equality)]) ).

cnf(5679,negated_conjecture,
    ( hskp13
    | hskp2
    | c2_1(a449)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[1575,45]) ).

cnf(5680,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[5679,44]) ).

cnf(5682,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[3410,5680,theory(equality)]) ).

cnf(5819,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ hskp15
    | ~ hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3499,73]) ).

cnf(5820,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp15
    | ~ hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[5819,72]) ).

cnf(5823,negated_conjecture,
    ( ~ hskp8
    | ~ hskp15
    | ~ hskp13
    | ~ c3_1(a415)
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,5820,theory(equality)]) ).

cnf(5824,negated_conjecture,
    ( ~ hskp9
    | ~ hskp15
    | ~ hskp13
    | ~ c3_1(a416)
    | ~ c2_1(a416) ),
    inference(spm,[status(thm)],[88,5820,theory(equality)]) ).

cnf(5826,negated_conjecture,
    ( ~ hskp14
    | ~ hskp15
    | ~ hskp13
    | ~ c3_1(a428)
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[68,5820,theory(equality)]) ).

cnf(5909,negated_conjecture,
    ( ~ hskp15
    | ~ hskp13
    | ~ hskp8
    | ~ c3_1(a415) ),
    inference(csr,[status(thm)],[5823,94]) ).

cnf(5910,negated_conjecture,
    ( ~ hskp15
    | ~ hskp13
    | ~ hskp8 ),
    inference(csr,[status(thm)],[5909,93]) ).

cnf(5914,negated_conjecture,
    ( hskp2
    | ~ hskp15
    | ~ hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[5910,5680,theory(equality)]) ).

cnf(5947,negated_conjecture,
    ( ~ hskp15
    | ~ hskp13
    | ~ hskp9
    | ~ c2_1(a416) ),
    inference(csr,[status(thm)],[5824,90]) ).

cnf(5950,negated_conjecture,
    ( hskp17
    | hskp2
    | ~ hskp15
    | ~ hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[5947,2439,theory(equality)]) ).

cnf(5966,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp20
    | ~ hskp15
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[5950,5576,theory(equality)]) ).

cnf(5968,negated_conjecture,
    ( hskp17
    | hskp2
    | ~ hskp15
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[5950,5680,theory(equality)]) ).

cnf(5997,negated_conjecture,
    ( ~ hskp15
    | ~ hskp14
    | ~ hskp13
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[5826,70]) ).

cnf(6046,negated_conjecture,
    ( hskp17
    | hskp2
    | ~ hskp15
    | ~ hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[5966,5968]) ).

cnf(6047,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp15
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[3434,6046,theory(equality)]) ).

cnf(6537,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1614,84]) ).

cnf(6538,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[6537,85]) ).

cnf(6901,negated_conjecture,
    ( hskp9
    | hskp8
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1617,61]) ).

cnf(7069,negated_conjecture,
    ( hskp9
    | hskp8
    | c0_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1620,33]) ).

cnf(7070,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1245,7069,theory(equality)]) ).

cnf(7100,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp8
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[7070,1878,theory(equality)]) ).

cnf(7446,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1717,84]) ).

cnf(7449,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp4
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1660,7446,theory(equality)]) ).

cnf(7464,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp4
    | hskp12
    | ~ hskp0 ),
    inference(spm,[status(thm)],[7449,2007,theory(equality)]) ).

cnf(7534,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp25
    | hskp12
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1653,7464,theory(equality)]) ).

cnf(7580,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[7534,2569]) ).

cnf(7581,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[7580,2451]) ).

cnf(7586,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp20
    | hskp4 ),
    inference(spm,[status(thm)],[7581,3480,theory(equality)]) ).

cnf(7603,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[7586,2451]) ).

cnf(7604,negated_conjecture,
    ( hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[7603,2573]) ).

cnf(7719,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1718,76]) ).

cnf(7724,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp28
    | hskp4
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2637,7719,theory(equality)]) ).

cnf(7727,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(a460)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp23
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[1634,33]) ).

cnf(7728,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp23
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[7727,32]) ).

cnf(7751,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[7724,2636]) ).

cnf(7859,negated_conjecture,
    ( hskp28
    | hskp4
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1720,60]) ).

cnf(8253,negated_conjecture,
    ( hskp28
    | hskp4
    | c3_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1723,33]) ).

cnf(8254,negated_conjecture,
    ( hskp28
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[8253,32]) ).

cnf(8255,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp20
    | hskp18 ),
    inference(spm,[status(thm)],[8254,9,theory(equality)]) ).

cnf(8256,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[8254,1878,theory(equality)]) ).

cnf(8264,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp27
    | hskp25
    | hskp0 ),
    inference(spm,[status(thm)],[8254,5177,theory(equality)]) ).

cnf(8321,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1653,8256,theory(equality)]) ).

cnf(8324,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp4 ),
    inference(csr,[status(thm)],[8321,7604]) ).

cnf(8325,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp4 ),
    inference(spm,[status(thm)],[1611,8324,theory(equality)]) ).

cnf(8327,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[4699,8324,theory(equality)]) ).

cnf(8331,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp25
    | hskp0 ),
    inference(csr,[status(thm)],[8264,4568]) ).

cnf(8924,negated_conjecture,
    ( hskp11
    | hskp2
    | c2_1(a410)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2014,96]) ).

cnf(9074,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a440)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[2017,53]) ).

cnf(9075,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp18 ),
    inference(csr,[status(thm)],[9074,52]) ).

cnf(9379,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(X1)
    | ~ c3_1(a451)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1737,37]) ).

cnf(9388,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ c0_1(a451)
    | ~ c3_1(a451)
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,9379,theory(equality)]) ).

cnf(9433,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ c0_1(a451)
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[9388,37]) ).

cnf(9434,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[9433,38]) ).

cnf(9513,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ hskp25
    | ~ c0_1(X1)
    | ~ c2_1(a405)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1738,24]) ).

cnf(9522,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ hskp25
    | ~ c0_1(a451)
    | ~ c2_1(a405)
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,9513,theory(equality)]) ).

cnf(9677,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ hskp28
    | ~ c0_1(X1)
    | ~ c3_1(a414)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1740,13]) ).

cnf(9678,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | ~ hskp28
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[9677,12]) ).

cnf(9681,negated_conjecture,
    ( hskp3
    | ~ hskp8
    | ~ hskp28
    | ~ c0_1(a415)
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,9678,theory(equality)]) ).

cnf(9687,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ hskp28
    | ~ c0_1(a451)
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,9678,theory(equality)]) ).

cnf(9759,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp8
    | ~ c0_1(a415) ),
    inference(csr,[status(thm)],[9681,94]) ).

cnf(9761,negated_conjecture,
    ( hskp3
    | hskp25
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[9759,1859,theory(equality)]) ).

cnf(9771,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp27
    | hskp20
    | hskp9
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[9761,7100,theory(equality)]) ).

cnf(9782,negated_conjecture,
    ( hskp26
    | hskp5
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c3_1(a415)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1741,94]) ).

cnf(9783,negated_conjecture,
    ( hskp26
    | hskp5
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[9782,93]) ).

cnf(9784,negated_conjecture,
    ( hskp26
    | hskp5
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[9783,1155]) ).

cnf(9787,negated_conjecture,
    ( hskp26
    | hskp5
    | hskp3
    | ~ hskp8
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,9784,theory(equality)]) ).

cnf(9840,negated_conjecture,
    ( hskp26
    | hskp5
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[9787,94]) ).

cnf(9841,negated_conjecture,
    ( hskp24
    | hskp19
    | hskp9
    | hskp5
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2331,9840,theory(equality)]) ).

cnf(9855,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp5
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[9841,2389]) ).

cnf(9913,negated_conjecture,
    ( hskp7
    | hskp2
    | c2_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2058,120]) ).

cnf(9994,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp22
    | ~ c0_1(a451) ),
    inference(csr,[status(thm)],[9687,37]) ).

cnf(9995,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp22 ),
    inference(csr,[status(thm)],[9994,38]) ).

cnf(9997,negated_conjecture,
    ( hskp3
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[9995,1555,theory(equality)]) ).

cnf(10175,negated_conjecture,
    ( hskp25
    | hskp16
    | hskp3
    | ~ hskp5
    | ~ c3_1(a408)
    | ~ c2_1(a408) ),
    inference(spm,[status(thm)],[104,1781,theory(equality)]) ).

cnf(10313,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a418)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2059,84]) ).

cnf(10321,negated_conjecture,
    ( hskp11
    | hskp0
    | hskp7
    | hskp2
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2850,10313,theory(equality)]) ).

cnf(10323,negated_conjecture,
    ( hskp13
    | hskp2
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5539,10313,theory(equality)]) ).

cnf(10334,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp7
    | ~ hskp15
    | ~ hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[5950,10323,theory(equality)]) ).

cnf(10495,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp2
    | hskp12
    | ~ hskp15
    | ~ hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[10334,2007,theory(equality)]) ).

cnf(10690,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a426)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2060,76]) ).

cnf(10695,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp2
    | ~ hskp12 ),
    inference(spm,[status(thm)],[2637,10690,theory(equality)]) ).

cnf(10738,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp22
    | ~ c3_1(a451)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1793,37]) ).

cnf(10741,negated_conjecture,
    ( hskp20
    | c3_1(a418)
    | c2_1(a418)
    | ~ hskp22
    | ~ c3_1(a451)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[10738,86,theory(equality)]) ).

cnf(10792,negated_conjecture,
    ( hskp7
    | hskp2
    | c2_1(a434)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2062,60]) ).

cnf(10794,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp7
    | hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2047,10792,theory(equality)]) ).

cnf(10969,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c3_1(a412)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1795,16]) ).

cnf(10970,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[10969,1273]) ).

cnf(10973,negated_conjecture,
    ( hskp20
    | c3_1(a418)
    | c2_1(a418)
    | ~ hskp27
    | ~ hskp10 ),
    inference(spm,[status(thm)],[10970,86,theory(equality)]) ).

cnf(10976,negated_conjecture,
    ( hskp20
    | c3_1(a434)
    | c2_1(a434)
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[10970,62,theory(equality)]) ).

cnf(10979,negated_conjecture,
    ( hskp20
    | c3_1(a460)
    | c2_1(a460)
    | ~ hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[10970,34,theory(equality)]) ).

cnf(11040,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp28
    | ~ c3_1(a414)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1796,13]) ).

cnf(11041,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp28
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[11040,12]) ).

cnf(11050,negated_conjecture,
    ( hskp20
    | c3_1(a460)
    | c2_1(a460)
    | ~ hskp28
    | ~ hskp23 ),
    inference(spm,[status(thm)],[11041,34,theory(equality)]) ).

cnf(11290,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp9
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[9771,7604]) ).

cnf(11291,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp9
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[11290,1713,theory(equality)]) ).

cnf(11311,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp20
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[11291,7604]) ).

cnf(11327,negated_conjecture,
    ( hskp7
    | hskp2
    | c3_1(a460)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2065,33]) ).

cnf(11328,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[11327,32]) ).

cnf(11329,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp20
    | hskp18 ),
    inference(spm,[status(thm)],[11328,9,theory(equality)]) ).

cnf(11337,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp27
    | hskp5
    | hskp0 ),
    inference(spm,[status(thm)],[11328,5209,theory(equality)]) ).

cnf(11393,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp20
    | hskp7 ),
    inference(spm,[status(thm)],[9075,11329,theory(equality)]) ).

cnf(11395,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp20
    | hskp7 ),
    inference(spm,[status(thm)],[2957,11393,theory(equality)]) ).

cnf(11396,negated_conjecture,
    ( hskp20
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[11395,1235]) ).

cnf(11491,negated_conjecture,
    ( hskp25
    | hskp16
    | hskp3
    | ~ hskp5
    | ~ c3_1(a408) ),
    inference(csr,[status(thm)],[10175,106]) ).

cnf(11492,negated_conjecture,
    ( hskp25
    | hskp16
    | hskp3
    | ~ hskp5 ),
    inference(csr,[status(thm)],[11491,105]) ).

cnf(11762,negated_conjecture,
    ( hskp20
    | hskp12
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2125,1235]) ).

cnf(11764,negated_conjecture,
    ( hskp20
    | hskp12
    | c3_1(a402)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[11762,118,theory(equality)]) ).

cnf(11766,negated_conjecture,
    ( hskp20
    | hskp12
    | c3_1(a410)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[11762,98,theory(equality)]) ).

cnf(11768,negated_conjecture,
    ( hskp20
    | hskp12
    | c3_1(a430)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[11762,66,theory(equality)]) ).

cnf(11769,negated_conjecture,
    ( hskp20
    | hskp12
    | c3_1(a440)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[11762,54,theory(equality)]) ).

cnf(11815,negated_conjecture,
    ( hskp16
    | hskp7
    | hskp20
    | hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2632,11764,theory(equality)]) ).

cnf(11825,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | hskp7 ),
    inference(csr,[status(thm)],[11815,11396]) ).

cnf(11826,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp7 ),
    inference(csr,[status(thm)],[11825,2638]) ).

cnf(11827,negated_conjecture,
    ( hskp27
    | hskp12
    | hskp10
    | hskp20
    | hskp7 ),
    inference(spm,[status(thm)],[3158,11826,theory(equality)]) ).

cnf(11828,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp6
    | hskp0
    | hskp20
    | hskp7 ),
    inference(spm,[status(thm)],[3455,11826,theory(equality)]) ).

cnf(11844,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp27
    | hskp20
    | hskp12
    | hskp7 ),
    inference(spm,[status(thm)],[6538,11827,theory(equality)]) ).

cnf(11865,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[11766,96]) ).

cnf(11873,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp15 ),
    inference(csr,[status(thm)],[11768,64]) ).

cnf(11874,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[11873,10,theory(equality)]) ).

cnf(11875,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[11874,11865]) ).

cnf(11878,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp18 ),
    inference(csr,[status(thm)],[11769,52]) ).

cnf(11882,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp27
    | hskp0 ),
    inference(spm,[status(thm)],[11878,3351,theory(equality)]) ).

cnf(11887,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp28
    | hskp4 ),
    inference(spm,[status(thm)],[11878,8255,theory(equality)]) ).

cnf(11892,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[11882,3352]) ).

cnf(11951,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[11828,11892]) ).

cnf(11952,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[11951,2933]) ).

cnf(11972,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp12
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[11844,7604]) ).

cnf(11973,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[11972,7100]) ).

cnf(11975,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp9
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4299,11973,theory(equality)]) ).

cnf(11995,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp9
    | ~ hskp15 ),
    inference(csr,[status(thm)],[11975,11892]) ).

cnf(12296,negated_conjecture,
    ( hskp17
    | hskp12
    | hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[10495,7604]) ).

cnf(12297,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp12
    | hskp7
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3434,12296,theory(equality)]) ).

cnf(12299,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ c3_1(a414)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1857,13]) ).

cnf(12300,negated_conjecture,
    ( hskp19
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12299,12]) ).

cnf(12302,negated_conjecture,
    ( hskp19
    | c3_1(a410)
    | ~ hskp7
    | ~ hskp28
    | ~ c2_1(a410) ),
    inference(spm,[status(thm)],[97,12300,theory(equality)]) ).

cnf(12309,negated_conjecture,
    ( hskp19
    | c3_1(a451)
    | ~ hskp22
    | ~ hskp28
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,12300,theory(equality)]) ).

cnf(12359,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[12297,2619]) ).

cnf(12364,negated_conjecture,
    ( hskp19
    | ~ hskp28
    | ~ hskp7
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[12302,96]) ).

cnf(12368,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp2
    | ~ hskp28
    | ~ hskp7 ),
    inference(spm,[status(thm)],[12364,8924,theory(equality)]) ).

cnf(12608,negated_conjecture,
    ( hskp19
    | c3_1(a451)
    | ~ hskp28
    | ~ hskp22 ),
    inference(csr,[status(thm)],[12309,37]) ).

cnf(12772,negated_conjecture,
    ( hskp25
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c3_1(a415)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1869,94]) ).

cnf(12773,negated_conjecture,
    ( hskp25
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12772,93]) ).

cnf(12774,negated_conjecture,
    ( hskp25
    | hskp3
    | c1_1(X1)
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12773,1159]) ).

cnf(12777,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp8
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,12774,theory(equality)]) ).

cnf(12834,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[12777,94]) ).

cnf(13054,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c3_1(a401)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1914,122]) ).

cnf(13055,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[13054,120]) ).

cnf(13057,negated_conjecture,
    ( hskp11
    | ~ hskp5
    | ~ hskp1
    | ~ c3_1(a408)
    | ~ c2_1(a408) ),
    inference(spm,[status(thm)],[104,13055,theory(equality)]) ).

cnf(13059,negated_conjecture,
    ( hskp11
    | ~ hskp9
    | ~ hskp1
    | ~ c3_1(a416)
    | ~ c2_1(a416) ),
    inference(spm,[status(thm)],[89,13055,theory(equality)]) ).

cnf(13062,negated_conjecture,
    ( hskp11
    | ~ hskp13
    | ~ hskp1
    | ~ c3_1(a427)
    | ~ c2_1(a427) ),
    inference(spm,[status(thm)],[72,13055,theory(equality)]) ).

cnf(13063,negated_conjecture,
    ( hskp11
    | ~ hskp14
    | ~ hskp1
    | ~ c3_1(a428)
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[69,13055,theory(equality)]) ).

cnf(13065,negated_conjecture,
    ( hskp11
    | ~ hskp19
    | ~ hskp1
    | ~ c3_1(a445)
    | ~ c2_1(a445) ),
    inference(spm,[status(thm)],[48,13055,theory(equality)]) ).

cnf(13335,negated_conjecture,
    ( hskp11
    | ~ hskp5
    | ~ hskp1
    | ~ c3_1(a408) ),
    inference(csr,[status(thm)],[13057,106]) ).

cnf(13336,negated_conjecture,
    ( hskp11
    | ~ hskp5
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13335,105]) ).

cnf(13361,negated_conjecture,
    ( hskp11
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a416) ),
    inference(csr,[status(thm)],[13059,90]) ).

cnf(13363,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp3
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13361,2166,theory(equality)]) ).

cnf(13376,negated_conjecture,
    ( hskp11
    | hskp3
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13363,13336]) ).

cnf(13401,negated_conjecture,
    ( hskp11
    | ~ hskp13
    | ~ hskp1
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[13062,73]) ).

cnf(13421,negated_conjecture,
    ( hskp11
    | ~ hskp14
    | ~ hskp1
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[13063,70]) ).

cnf(13434,negated_conjecture,
    ( hskp20
    | c3_1(a418)
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[10973,84]) ).

cnf(13437,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | ~ hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1660,13434,theory(equality)]) ).

cnf(13444,negated_conjecture,
    ( hskp13
    | hskp2
    | hskp20
    | ~ hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[5539,13434,theory(equality)]) ).

cnf(13450,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[13437,1760]) ).

cnf(13538,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[13444,5680]) ).

cnf(13539,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | ~ hskp27
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3410,13538,theory(equality)]) ).

cnf(13635,negated_conjecture,
    ( hskp11
    | ~ hskp19
    | ~ hskp1
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[13065,49]) ).

cnf(13637,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp3
    | ~ hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13635,2309,theory(equality)]) ).

cnf(13701,negated_conjecture,
    ( hskp11
    | hskp3
    | ~ hskp19
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13637,13336]) ).

cnf(13721,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp9
    | hskp5
    | ~ hskp1
    | ~ hskp8 ),
    inference(spm,[status(thm)],[13701,9855,theory(equality)]) ).

cnf(14270,negated_conjecture,
    ( hskp11
    | hskp9
    | hskp3
    | ~ hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13721,13336]) ).

cnf(14271,negated_conjecture,
    ( hskp11
    | hskp3
    | ~ hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[14270,13376]) ).

cnf(14795,negated_conjecture,
    ( hskp20
    | c2_1(a434)
    | ~ hskp27
    | ~ hskp16 ),
    inference(csr,[status(thm)],[10976,60]) ).

cnf(14797,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp20
    | ~ hskp16
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2047,14795,theory(equality)]) ).

cnf(14804,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1)
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[1979,73]) ).

cnf(14863,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10
    | ~ hskp16 ),
    inference(csr,[status(thm)],[14797,3158]) ).

cnf(14893,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10
    | hskp7 ),
    inference(spm,[status(thm)],[14863,11826,theory(equality)]) ).

cnf(14898,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp10 ),
    inference(csr,[status(thm)],[14893,11865]) ).

cnf(14909,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp4
    | hskp20
    | hskp12 ),
    inference(spm,[status(thm)],[7449,14898,theory(equality)]) ).

cnf(14924,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[13450,14898,theory(equality)]) ).

cnf(14927,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2
    | hskp20
    | hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[13539,14898,theory(equality)]) ).

cnf(14941,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | hskp4 ),
    inference(csr,[status(thm)],[14909,1713]) ).

cnf(14942,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp4 ),
    inference(csr,[status(thm)],[14941,1760]) ).

cnf(14988,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[14924,1713]) ).

cnf(14989,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp27 ),
    inference(csr,[status(thm)],[14988,1760]) ).

cnf(15136,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp12
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[14927,11952]) ).

cnf(15137,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[15136,5586]) ).

cnf(15138,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp2 ),
    inference(csr,[status(thm)],[15137,5682]) ).

cnf(15238,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp26
    | ~ c0_1(X1)
    | ~ c3_1(a407) ),
    inference(csr,[status(thm)],[1985,21]) ).

cnf(15239,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp26
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[15238,20]) ).

cnf(15240,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp2
    | ~ hskp26
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,15239,theory(equality)]) ).

cnf(15399,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[15240,118]) ).

cnf(15608,negated_conjecture,
    ( hskp20
    | c3_1(a460)
    | ~ hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[10979,33]) ).

cnf(15609,negated_conjecture,
    ( hskp20
    | ~ hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[15608,32]) ).

cnf(15610,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[15609,9,theory(equality)]) ).

cnf(15671,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[11878,15610,theory(equality)]) ).

cnf(15692,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp5
    | hskp2
    | hskp0 ),
    inference(spm,[status(thm)],[15671,11337,theory(equality)]) ).

cnf(15802,negated_conjecture,
    ( hskp22
    | c2_1(a401)
    | c2_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2025,120]) ).

cnf(15858,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | c2_1(X1)
    | ~ hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2026,116]) ).

cnf(15914,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp5
    | hskp2 ),
    inference(csr,[status(thm)],[15692,11396]) ).

cnf(15915,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[15914,11396]) ).

cnf(15916,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp2 ),
    inference(csr,[status(thm)],[15915,11865]) ).

cnf(15999,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | c2_1(X1)
    | ~ hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2028,96]) ).

cnf(16164,negated_conjecture,
    ( hskp22
    | c3_1(a440)
    | c2_1(X1)
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2031,53]) ).

cnf(16165,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[16164,52]) ).

cnf(16169,negated_conjecture,
    ( hskp22
    | c2_1(a426)
    | ~ hskp18
    | ~ c3_1(a426)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[16165,77,theory(equality)]) ).

cnf(16173,negated_conjecture,
    ( hskp22
    | c2_1(a449)
    | ~ hskp18
    | ~ c3_1(a449)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[16165,46,theory(equality)]) ).

cnf(16300,negated_conjecture,
    ( hskp22
    | ~ hskp18
    | ~ hskp12
    | ~ c3_1(a426) ),
    inference(csr,[status(thm)],[16169,76]) ).

cnf(16301,negated_conjecture,
    ( hskp22
    | hskp20
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[16300,1238,theory(equality)]) ).

cnf(16306,negated_conjecture,
    ( hskp22
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[16301,11878]) ).

cnf(16313,negated_conjecture,
    ( hskp3
    | hskp20
    | ~ hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[9995,16306,theory(equality)]) ).

cnf(16321,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp25
    | ~ hskp28
    | ~ hskp9 ),
    inference(spm,[status(thm)],[16313,2042,theory(equality)]) ).

cnf(16336,negated_conjecture,
    ( hskp20
    | hskp3
    | ~ hskp28
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16313,15610,theory(equality)]) ).

cnf(16349,negated_conjecture,
    ( hskp20
    | hskp3
    | hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16336,14989,theory(equality)]) ).

cnf(16368,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | hskp9 ),
    inference(spm,[status(thm)],[16349,11311,theory(equality)]) ).

cnf(16445,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[16321,16368]) ).

cnf(16446,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[16445,1713,theory(equality)]) ).

cnf(16465,negated_conjecture,
    ( hskp25
    | hskp20
    | hskp3 ),
    inference(csr,[status(thm)],[16446,11875]) ).

cnf(16672,negated_conjecture,
    ( hskp22
    | c2_1(a449)
    | ~ hskp18
    | ~ c3_1(a449) ),
    inference(csr,[status(thm)],[16173,16306]) ).

cnf(16673,negated_conjecture,
    ( hskp22
    | ~ hskp20
    | ~ hskp18
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[44,16672,theory(equality)]) ).

cnf(16682,negated_conjecture,
    ( hskp22
    | ~ hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[16673,45]) ).

cnf(16683,negated_conjecture,
    ( hskp22
    | ~ hskp18 ),
    inference(csr,[status(thm)],[16682,16306]) ).

cnf(16690,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp18 ),
    inference(spm,[status(thm)],[9995,16683,theory(equality)]) ).

cnf(16697,negated_conjecture,
    ( hskp3
    | hskp25
    | ~ hskp28
    | ~ hskp9 ),
    inference(spm,[status(thm)],[16690,2042,theory(equality)]) ).

cnf(16699,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp0
    | ~ hskp28
    | ~ hskp11 ),
    inference(spm,[status(thm)],[16690,3109,theory(equality)]) ).

cnf(16731,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[16697,1760,theory(equality)]) ).

cnf(16747,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[16731,16465]) ).

cnf(16804,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[16699,9997]) ).

cnf(16805,negated_conjecture,
    ( hskp27
    | hskp0
    | ~ hskp28 ),
    inference(csr,[status(thm)],[16804,3031]) ).

cnf(16811,negated_conjecture,
    ( hskp27
    | hskp0
    | hskp25 ),
    inference(spm,[status(thm)],[16805,8331,theory(equality)]) ).

cnf(17299,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a449)
    | ~ hskp20
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2082,45]) ).

cnf(17300,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp20
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[17299,44]) ).

cnf(17303,negated_conjecture,
    ( hskp14
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp20
    | ~ c2_1(a409) ),
    inference(spm,[status(thm)],[101,17300,theory(equality)]) ).

cnf(17307,negated_conjecture,
    ( hskp14
    | c3_1(a427)
    | ~ hskp13
    | ~ hskp20
    | ~ c2_1(a427) ),
    inference(spm,[status(thm)],[72,17300,theory(equality)]) ).

cnf(17309,negated_conjecture,
    ( hskp14
    | c3_1(a434)
    | ~ hskp16
    | ~ hskp20
    | ~ c2_1(a434) ),
    inference(spm,[status(thm)],[61,17300,theory(equality)]) ).

cnf(17360,negated_conjecture,
    ( hskp14
    | c3_1(a409)
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[17303,102]) ).

cnf(17361,negated_conjecture,
    ( hskp14
    | ~ hskp20
    | ~ hskp6 ),
    inference(csr,[status(thm)],[17360,100]) ).

cnf(17803,negated_conjecture,
    ( hskp14
    | c3_1(a427)
    | ~ hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17307,73]) ).

cnf(17806,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp14
    | ~ hskp13
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2180,17803,theory(equality)]) ).

cnf(17810,negated_conjecture,
    ( hskp11
    | hskp14
    | ~ hskp13
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[13401,17803,theory(equality)]) ).

cnf(17845,negated_conjecture,
    ( hskp14
    | hskp11
    | ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17810,1235]) ).

cnf(18010,negated_conjecture,
    ( hskp14
    | ~ hskp20
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[17309,60]) ).

cnf(18014,negated_conjecture,
    ( hskp14
    | hskp9
    | hskp8
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[18010,6901,theory(equality)]) ).

cnf(18015,negated_conjecture,
    ( hskp14
    | hskp28
    | hskp4
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[18010,7859,theory(equality)]) ).

cnf(18017,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp2
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[18010,10792,theory(equality)]) ).

cnf(18039,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp9
    | hskp8
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1934,18014,theory(equality)]) ).

cnf(18073,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp2
    | ~ hskp16 ),
    inference(csr,[status(thm)],[18017,11396]) ).

cnf(18871,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp8
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[18039,16465]) ).

cnf(18872,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[18871,12834]) ).

cnf(18873,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[18872,16747]) ).

cnf(18880,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[18873,5055,theory(equality)]) ).

cnf(18901,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[18873,11492,theory(equality)]) ).

cnf(18935,negated_conjecture,
    ( hskp5
    | hskp3
    | hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2389,18880,theory(equality)]) ).

cnf(18995,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[18935,18901]) ).

cnf(19018,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp0 ),
    inference(spm,[status(thm)],[18995,16811,theory(equality)]) ).

cnf(19972,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(a445)
    | c2_1(X1)
    | ~ hskp19
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2150,49]) ).

cnf(19982,negated_conjecture,
    ( hskp10
    | c2_1(a445)
    | ~ hskp19
    | ~ c3_1(a445) ),
    inference(spm,[status(thm)],[48,19972,theory(equality)]) ).

cnf(20037,negated_conjecture,
    ( hskp10
    | c2_1(a445)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[19982,49]) ).

cnf(20310,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(a449)
    | c2_1(X1)
    | ~ hskp20
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2151,45]) ).

cnf(20311,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp20
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[20310,44]) ).

cnf(20315,negated_conjecture,
    ( hskp10
    | c2_1(a416)
    | ~ hskp9
    | ~ hskp20
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[89,20311,theory(equality)]) ).

cnf(20317,negated_conjecture,
    ( hskp10
    | c2_1(a420)
    | ~ hskp11
    | ~ hskp20
    | ~ c3_1(a420) ),
    inference(spm,[status(thm)],[82,20311,theory(equality)]) ).

cnf(20323,negated_conjecture,
    ( hskp10
    | c2_1(a477)
    | ~ hskp24
    | ~ hskp20
    | ~ c3_1(a477) ),
    inference(spm,[status(thm)],[29,20311,theory(equality)]) ).

cnf(20334,negated_conjecture,
    ( hskp16
    | hskp7
    | c2_1(X1)
    | hskp10
    | ~ c3_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1141,20311,theory(equality)]) ).

cnf(20742,negated_conjecture,
    ( hskp10
    | c2_1(a416)
    | ~ hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[20315,90]) ).

cnf(20751,negated_conjecture,
    ( hskp10
    | ~ hskp15
    | ~ hskp13
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[5947,20742,theory(equality)]) ).

cnf(20753,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp9
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[13361,20742,theory(equality)]) ).

cnf(20774,negated_conjecture,
    ( hskp10
    | hskp2
    | ~ hskp20
    | ~ hskp15
    | ~ hskp9 ),
    inference(spm,[status(thm)],[20751,5680,theory(equality)]) ).

cnf(20793,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[20753,1235]) ).

cnf(20842,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[10334,20774,theory(equality)]) ).

cnf(20906,negated_conjecture,
    ( hskp10
    | ~ hskp20
    | ~ hskp11
    | ~ c3_1(a420) ),
    inference(csr,[status(thm)],[20317,80]) ).

cnf(20907,negated_conjecture,
    ( hskp10
    | hskp27
    | hskp0
    | ~ hskp20
    | ~ hskp11 ),
    inference(spm,[status(thm)],[20906,3101,theory(equality)]) ).

cnf(20908,negated_conjecture,
    ( hskp27
    | hskp10
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[20907,11892]) ).

cnf(21038,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp9 ),
    inference(csr,[status(thm)],[20842,11396]) ).

cnf(21039,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp7
    | ~ hskp15
    | ~ hskp9 ),
    inference(spm,[status(thm)],[3434,21038,theory(equality)]) ).

cnf(21086,negated_conjecture,
    ( hskp10
    | c2_1(a477)
    | ~ hskp24
    | ~ hskp20 ),
    inference(csr,[status(thm)],[20323,30]) ).

cnf(21087,negated_conjecture,
    ( hskp10
    | ~ hskp24
    | ~ hskp20 ),
    inference(csr,[status(thm)],[21086,28]) ).

cnf(21096,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp24
    | ~ hskp20 ),
    inference(spm,[status(thm)],[6538,21087,theory(equality)]) ).

cnf(21299,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp7
    | hskp0
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(spm,[status(thm)],[84,2205,theory(equality)]) ).

cnf(21521,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c3_1(a401)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2214,122]) ).

cnf(21522,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[21521,120]) ).

cnf(21526,negated_conjecture,
    ( hskp4
    | c0_1(a416)
    | ~ hskp9
    | ~ hskp1
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[88,21522,theory(equality)]) ).

cnf(21528,negated_conjecture,
    ( hskp4
    | c0_1(a428)
    | ~ hskp14
    | ~ hskp1
    | ~ c3_1(a428) ),
    inference(spm,[status(thm)],[68,21522,theory(equality)]) ).

cnf(21749,negated_conjecture,
    ( hskp4
    | c0_1(a416)
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[21526,90]) ).

cnf(21750,negated_conjecture,
    ( hskp4
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[21749,89]) ).

cnf(21775,negated_conjecture,
    ( hskp4
    | ~ hskp14
    | ~ hskp1
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[21528,69]) ).

cnf(22569,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[20334,11826]) ).

cnf(22574,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7
    | ~ hskp11
    | ~ c3_1(a420) ),
    inference(spm,[status(thm)],[80,22569,theory(equality)]) ).

cnf(22578,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7
    | ~ hskp20
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[44,22569,theory(equality)]) ).

cnf(22644,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7
    | hskp27
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[22574,3101,theory(equality)]) ).

cnf(22649,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp10
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[22644,20908]) ).

cnf(22650,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[22649,4956]) ).

cnf(22711,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7
    | ~ hskp20 ),
    inference(csr,[status(thm)],[22578,45]) ).

cnf(22712,negated_conjecture,
    ( hskp16
    | hskp10
    | hskp7 ),
    inference(csr,[status(thm)],[22711,11826]) ).

cnf(22720,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp7
    | hskp2 ),
    inference(spm,[status(thm)],[10794,22712,theory(equality)]) ).

cnf(22773,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp2
    | hskp0
    | hskp12 ),
    inference(spm,[status(thm)],[10321,22720,theory(equality)]) ).

cnf(22993,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp9
    | hskp7
    | c2_1(a449)
    | ~ c3_1(a449) ),
    inference(csr,[status(thm)],[2252,11826]) ).

cnf(22994,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp9
    | hskp7
    | ~ hskp20
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[44,22993,theory(equality)]) ).

cnf(23047,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp7
    | hskp0
    | ~ c3_1(a418) ),
    inference(csr,[status(thm)],[21299,22712]) ).

cnf(23048,negated_conjecture,
    ( hskp16
    | hskp11
    | hskp7
    | hskp0
    | hskp27
    | ~ hskp10 ),
    inference(spm,[status(thm)],[23047,3068,theory(equality)]) ).

cnf(23053,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp11
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[23048,22712]) ).

cnf(23054,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[23053,22650]) ).

cnf(23155,negated_conjecture,
    ( hskp20
    | c3_1(a460)
    | ~ hskp28
    | ~ hskp23 ),
    inference(csr,[status(thm)],[11050,33]) ).

cnf(23156,negated_conjecture,
    ( hskp20
    | ~ hskp28
    | ~ hskp23 ),
    inference(csr,[status(thm)],[23155,32]) ).

cnf(23157,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp28 ),
    inference(spm,[status(thm)],[23156,9,theory(equality)]) ).

cnf(23158,negated_conjecture,
    ( hskp20
    | hskp27
    | ~ hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[23156,1878,theory(equality)]) ).

cnf(23185,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp28 ),
    inference(spm,[status(thm)],[11878,23157,theory(equality)]) ).

cnf(23197,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp4 ),
    inference(spm,[status(thm)],[23185,11887,theory(equality)]) ).

cnf(23220,negated_conjecture,
    ( hskp27
    | hskp20
    | ~ hskp28 ),
    inference(csr,[status(thm)],[23158,23185]) ).

cnf(23224,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp4
    | ~ hskp12 ),
    inference(spm,[status(thm)],[23220,8256,theory(equality)]) ).

cnf(23331,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp4 ),
    inference(csr,[status(thm)],[23224,23197]) ).

cnf(24478,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp9
    | hskp7
    | ~ hskp20 ),
    inference(csr,[status(thm)],[22994,45]) ).

cnf(24479,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[24478,11826]) ).

cnf(24623,negated_conjecture,
    ( hskp4
    | c2_1(a445)
    | c1_1(X1)
    | ~ hskp19
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2293,48]) ).

cnf(24632,negated_conjecture,
    ( hskp4
    | c2_1(a445)
    | ~ hskp22
    | ~ hskp19
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,24623,theory(equality)]) ).

cnf(24733,negated_conjecture,
    ( hskp4
    | c0_1(a449)
    | c1_1(X1)
    | ~ hskp20
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2294,44]) ).

cnf(24742,negated_conjecture,
    ( hskp4
    | c0_1(a449)
    | ~ hskp22
    | ~ hskp20
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,24733,theory(equality)]) ).

cnf(24886,negated_conjecture,
    ( hskp4
    | c0_1(a477)
    | c1_1(X1)
    | ~ hskp24
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2295,28]) ).

cnf(24887,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | ~ hskp24
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[24886,29]) ).

cnf(24890,negated_conjecture,
    ( hskp4
    | ~ hskp8
    | ~ hskp24
    | ~ c2_1(a415) ),
    inference(spm,[status(thm)],[92,24887,theory(equality)]) ).

cnf(24893,negated_conjecture,
    ( hskp4
    | ~ hskp14
    | ~ hskp24
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[68,24887,theory(equality)]) ).

cnf(24896,negated_conjecture,
    ( hskp4
    | ~ hskp22
    | ~ hskp24
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,24887,theory(equality)]) ).

cnf(24960,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp8 ),
    inference(csr,[status(thm)],[24890,94]) ).

cnf(25139,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp14 ),
    inference(csr,[status(thm)],[24893,70]) ).

cnf(25145,negated_conjecture,
    ( hskp4
    | hskp9
    | hskp8
    | ~ hskp24
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[25139,18014,theory(equality)]) ).

cnf(25235,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp22 ),
    inference(csr,[status(thm)],[24896,37]) ).

cnf(25243,negated_conjecture,
    ( hskp4
    | hskp11
    | hskp5
    | ~ hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[25235,4696,theory(equality)]) ).

cnf(25248,negated_conjecture,
    ( hskp4
    | ~ hskp24
    | ~ hskp18 ),
    inference(spm,[status(thm)],[25235,16683,theory(equality)]) ).

cnf(26080,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp4
    | ~ hskp24
    | ~ hskp20 ),
    inference(csr,[status(thm)],[25145,21096]) ).

cnf(26081,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp4
    | ~ hskp24 ),
    inference(csr,[status(thm)],[26080,8325]) ).

cnf(26082,negated_conjecture,
    ( hskp9
    | hskp4
    | ~ hskp24 ),
    inference(csr,[status(thm)],[26081,24960]) ).

cnf(26185,negated_conjecture,
    ( hskp4
    | c2_1(a445)
    | ~ hskp22
    | ~ hskp19 ),
    inference(csr,[status(thm)],[24632,37]) ).

cnf(26941,negated_conjecture,
    ( hskp4
    | c0_1(a449)
    | ~ hskp22
    | ~ hskp20 ),
    inference(csr,[status(thm)],[24742,37]) ).

cnf(26951,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp4
    | ~ hskp20
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1942,26941,theory(equality)]) ).

cnf(26984,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp4
    | ~ hskp22 ),
    inference(csr,[status(thm)],[26951,23331]) ).

cnf(26986,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp4
    | hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[26984,1555,theory(equality)]) ).

cnf(26987,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp4
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[26984,1946,theory(equality)]) ).

cnf(27031,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp27
    | hskp11
    | hskp4
    | ~ hskp28 ),
    inference(spm,[status(thm)],[11328,26986,theory(equality)]) ).

cnf(27089,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp27
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[8254,26987,theory(equality)]) ).

cnf(27113,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp11
    | hskp4 ),
    inference(csr,[status(thm)],[27089,14942]) ).

cnf(28233,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp7
    | hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[27031,27113]) ).

cnf(28503,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp10
    | ~ c0_1(X1)
    | ~ c3_1(a418)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2401,85]) ).

cnf(28512,negated_conjecture,
    ( ~ hskp22
    | ~ hskp10
    | ~ c0_1(a451)
    | ~ c3_1(a418)
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[36,28503,theory(equality)]) ).

cnf(28634,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1)
    | ~ c3_1(a427)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2403,72]) ).

cnf(28635,negated_conjecture,
    ( ~ hskp2
    | ~ hskp13
    | ~ c0_1(a402)
    | ~ c3_1(a427)
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,28634,theory(equality)]) ).

cnf(28643,negated_conjecture,
    ( ~ hskp22
    | ~ hskp13
    | ~ c0_1(a451)
    | ~ c3_1(a427)
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[36,28634,theory(equality)]) ).

cnf(28763,negated_conjecture,
    ( c0_1(a445)
    | c1_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2405,49]) ).

cnf(28764,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[28763,48]) ).

cnf(28765,negated_conjecture,
    ( ~ hskp2
    | ~ hskp19
    | ~ c0_1(a402)
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,28764,theory(equality)]) ).

cnf(28773,negated_conjecture,
    ( ~ hskp22
    | ~ hskp19
    | ~ c0_1(a451)
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[36,28764,theory(equality)]) ).

cnf(28830,negated_conjecture,
    ( ~ hskp19
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[28765,118]) ).

cnf(29023,negated_conjecture,
    ( c0_1(a449)
    | c1_1(X1)
    | ~ hskp20
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2406,45]) ).

cnf(29024,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp2
    | ~ hskp20
    | ~ c0_1(a402)
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,29023,theory(equality)]) ).

cnf(29032,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp22
    | ~ hskp20
    | ~ c0_1(a451)
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[36,29023,theory(equality)]) ).

cnf(29370,negated_conjecture,
    ( ~ hskp22
    | ~ hskp19
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[28773,38]) ).

cnf(30291,negated_conjecture,
    ( c0_1(a408)
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2420,105]) ).

cnf(30292,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[30291,104]) ).

cnf(30295,negated_conjecture,
    ( hskp1
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp5
    | ~ c2_1(a409) ),
    inference(spm,[status(thm)],[101,30292,theory(equality)]) ).

cnf(30301,negated_conjecture,
    ( hskp1
    | c3_1(a434)
    | ~ hskp16
    | ~ hskp5
    | ~ c2_1(a434) ),
    inference(spm,[status(thm)],[61,30292,theory(equality)]) ).

cnf(31327,negated_conjecture,
    ( hskp1
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[30295,102]) ).

cnf(31328,negated_conjecture,
    ( hskp1
    | ~ hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[31327,100]) ).

cnf(31371,negated_conjecture,
    ( hskp1
    | hskp15
    | hskp2
    | ~ hskp5 ),
    inference(spm,[status(thm)],[31328,15138,theory(equality)]) ).

cnf(31390,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp12
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[6047,31371,theory(equality)]) ).

cnf(31408,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[12359,31371,theory(equality)]) ).

cnf(31414,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[21039,31371,theory(equality)]) ).

cnf(31665,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp9
    | ~ hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[31390,2619,theory(equality)]) ).

cnf(31699,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | hskp11
    | hskp7
    | ~ hskp5 ),
    inference(spm,[status(thm)],[31408,22773,theory(equality)]) ).

cnf(31920,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[31665,31414]) ).

cnf(32314,negated_conjecture,
    ( hskp1
    | ~ hskp16
    | ~ hskp5
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[30301,60]) ).

cnf(32315,negated_conjecture,
    ( hskp1
    | hskp27
    | hskp0
    | ~ hskp16
    | ~ hskp5 ),
    inference(spm,[status(thm)],[32314,3152,theory(equality)]) ).

cnf(32319,negated_conjecture,
    ( hskp1
    | hskp28
    | hskp4
    | ~ hskp16
    | ~ hskp5 ),
    inference(spm,[status(thm)],[32314,7859,theory(equality)]) ).

cnf(32321,negated_conjecture,
    ( hskp1
    | hskp7
    | hskp2
    | ~ hskp16
    | ~ hskp5 ),
    inference(spm,[status(thm)],[32314,10792,theory(equality)]) ).

cnf(32332,negated_conjecture,
    ( hskp27
    | hskp1
    | hskp0
    | ~ hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[32315,4956,theory(equality)]) ).

cnf(32424,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp1
    | hskp12
    | ~ hskp5
    | ~ hskp2 ),
    inference(spm,[status(thm)],[32319,2634,theory(equality)]) ).

cnf(32445,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp1
    | hskp7
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[32319,7751,theory(equality)]) ).

cnf(32498,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[32321,10695,theory(equality)]) ).

cnf(32609,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2452,124]) ).

cnf(32611,negated_conjecture,
    ( c3_1(a410)
    | ~ hskp7
    | ~ c0_1(a400)
    | ~ c2_1(a410)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[97,32609,theory(equality)]) ).

cnf(32618,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ c0_1(a400)
    | ~ c2_1(a451)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[36,32609,theory(equality)]) ).

cnf(32750,negated_conjecture,
    ( hskp27
    | hskp1
    | hskp0
    | ~ hskp10 ),
    inference(csr,[status(thm)],[32332,3089]) ).

cnf(32754,negated_conjecture,
    ( hskp27
    | hskp1
    | hskp0
    | hskp23
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[32750,5132,theory(equality)]) ).

cnf(32781,negated_conjecture,
    ( hskp27
    | hskp1
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[32750,20908,theory(equality)]) ).

cnf(32794,negated_conjecture,
    ( c3_1(a401)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2453,122]) ).

cnf(32795,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[32794,120]) ).

cnf(32797,negated_conjecture,
    ( c3_1(a410)
    | ~ hskp7
    | ~ hskp1
    | ~ c2_1(a410) ),
    inference(spm,[status(thm)],[97,32795,theory(equality)]) ).

cnf(32801,negated_conjecture,
    ( c3_1(a428)
    | ~ hskp14
    | ~ hskp1
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[68,32795,theory(equality)]) ).

cnf(32803,negated_conjecture,
    ( c3_1(a450)
    | ~ hskp21
    | ~ hskp1
    | ~ c2_1(a450) ),
    inference(spm,[status(thm)],[41,32795,theory(equality)]) ).

cnf(32804,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ hskp1
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,32795,theory(equality)]) ).

cnf(32810,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1135,32795,theory(equality)]) ).

cnf(32894,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[32498,7604,theory(equality)]) ).

cnf(33152,negated_conjecture,
    ( ~ hskp7
    | ~ hskp1
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[32797,96]) ).

cnf(33167,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[32894,31920]) ).

cnf(33187,negated_conjecture,
    ( c3_1(a428)
    | ~ hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[32801,70]) ).

cnf(33194,negated_conjecture,
    ( ~ hskp15
    | ~ hskp14
    | ~ hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[5997,33187,theory(equality)]) ).

cnf(33195,negated_conjecture,
    ( hskp11
    | ~ hskp14
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13421,33187,theory(equality)]) ).

cnf(33200,negated_conjecture,
    ( hskp4
    | ~ hskp14
    | ~ hskp1 ),
    inference(spm,[status(thm)],[21775,33187,theory(equality)]) ).

cnf(33209,negated_conjecture,
    ( hskp11
    | ~ hskp1
    | ~ hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[33195,17361,theory(equality)]) ).

cnf(33212,negated_conjecture,
    ( hskp11
    | ~ hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[33195,17845,theory(equality)]) ).

cnf(33225,negated_conjecture,
    ( hskp4
    | hskp28
    | ~ hskp1
    | ~ hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[33200,18015,theory(equality)]) ).

cnf(33232,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[33212,5680,theory(equality)]) ).

cnf(33252,negated_conjecture,
    ( hskp11
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[33209,1235]) ).

cnf(33271,negated_conjecture,
    ( hskp11
    | hskp27
    | hskp23
    | hskp15
    | hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[33252,4960,theory(equality)]) ).

cnf(33358,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[33232,1235]) ).

cnf(33361,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp15
    | ~ hskp13
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[33194,17806,theory(equality)]) ).

cnf(33366,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp13
    | ~ hskp1
    | ~ hskp16 ),
    inference(spm,[status(thm)],[33194,18073,theory(equality)]) ).

cnf(33474,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c0_1(a460)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2460,32]) ).

cnf(33476,negated_conjecture,
    ( c3_1(a410)
    | ~ hskp7
    | ~ hskp23
    | ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(spm,[status(thm)],[97,33474,theory(equality)]) ).

cnf(33483,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ hskp23
    | ~ c0_1(a460)
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[36,33474,theory(equality)]) ).

cnf(33542,negated_conjecture,
    ( ~ hskp21
    | ~ hskp1
    | ~ c2_1(a450) ),
    inference(csr,[status(thm)],[32803,40]) ).

cnf(33574,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ hskp1 ),
    inference(csr,[status(thm)],[32804,37]) ).

cnf(33584,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9434,33574,theory(equality)]) ).

cnf(33592,negated_conjecture,
    ( ~ hskp22
    | ~ hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[29370,33574,theory(equality)]) ).

cnf(33610,negated_conjecture,
    ( hskp3
    | ~ hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[33584,16683,theory(equality)]) ).

cnf(33613,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp0
    | ~ hskp1
    | ~ hskp11 ),
    inference(spm,[status(thm)],[33610,3109,theory(equality)]) ).

cnf(34001,negated_conjecture,
    ( hskp28
    | hskp4
    | ~ hskp16
    | ~ hskp1 ),
    inference(csr,[status(thm)],[33225,1235]) ).

cnf(34023,negated_conjecture,
    ( hskp28
    | hskp4
    | hskp7
    | ~ hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[34001,7751,theory(equality)]) ).

cnf(34445,negated_conjecture,
    ( hskp27
    | hskp3
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[33613,32781]) ).

cnf(34446,negated_conjecture,
    ( hskp27
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34445,3031]) ).

cnf(34456,negated_conjecture,
    ( c0_1(a427)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2476,73]) ).

cnf(34457,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[34456,72]) ).

cnf(34458,negated_conjecture,
    ( hskp1
    | c3_1(a402)
    | ~ hskp2
    | ~ hskp13
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,34457,theory(equality)]) ).

cnf(34459,negated_conjecture,
    ( hskp1
    | c3_1(a410)
    | ~ hskp7
    | ~ hskp13
    | ~ c0_1(a410) ),
    inference(spm,[status(thm)],[97,34457,theory(equality)]) ).

cnf(34466,negated_conjecture,
    ( hskp1
    | c3_1(a451)
    | ~ hskp22
    | ~ hskp13
    | ~ c0_1(a451) ),
    inference(spm,[status(thm)],[36,34457,theory(equality)]) ).

cnf(34467,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | hskp1
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1179,34457,theory(equality)]) ).

cnf(34662,negated_conjecture,
    ( c0_1(a445)
    | hskp1
    | c1_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[2478,28764]) ).

cnf(34663,negated_conjecture,
    ( hskp1
    | c1_1(X1)
    | ~ hskp19
    | ~ c0_1(X1)
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[34662,48]) ).

cnf(34664,negated_conjecture,
    ( hskp1
    | ~ hskp2
    | ~ hskp19
    | ~ c0_1(a402)
    | ~ c2_1(a445) ),
    inference(spm,[status(thm)],[117,34663,theory(equality)]) ).

cnf(34672,negated_conjecture,
    ( hskp1
    | ~ hskp22
    | ~ hskp19
    | ~ c0_1(a451)
    | ~ c2_1(a445) ),
    inference(spm,[status(thm)],[36,34663,theory(equality)]) ).

cnf(34958,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp7
    | ~ hskp12
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1653,34023,theory(equality)]) ).

cnf(35237,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[34958,7604]) ).

cnf(35238,negated_conjecture,
    ( hskp7
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[35237,21750]) ).

cnf(35317,negated_conjecture,
    ( hskp12
    | hskp10
    | c3_1(a401)
    | hskp27
    | hskp23
    | ~ hskp1 ),
    inference(spm,[status(thm)],[32810,1820,theory(equality)]) ).

cnf(35357,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[34467,1235]) ).

cnf(35361,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[35357,98,theory(equality)]) ).

cnf(35364,negated_conjecture,
    ( hskp20
    | c3_1(a440)
    | ~ hskp13
    | ~ hskp18 ),
    inference(spm,[status(thm)],[35357,54,theory(equality)]) ).

cnf(35577,negated_conjecture,
    ( hskp20
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[35361,96]) ).

cnf(35579,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[35577,5576,theory(equality)]) ).

cnf(35599,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[35579,15916]) ).

cnf(35600,negated_conjecture,
    ( hskp20
    | hskp2 ),
    inference(csr,[status(thm)],[35599,11396]) ).

cnf(35708,negated_conjecture,
    ( hskp20
    | ~ hskp18
    | ~ hskp13 ),
    inference(csr,[status(thm)],[35364,52]) ).

cnf(35864,negated_conjecture,
    ( hskp28
    | c0_1(a418)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp10
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2522,84]) ).

cnf(35865,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp10
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[35864,85]) ).

cnf(35866,negated_conjecture,
    ( hskp28
    | c2_1(a402)
    | ~ hskp2
    | ~ hskp10
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[117,35865,theory(equality)]) ).

cnf(35869,negated_conjecture,
    ( hskp28
    | c2_1(a416)
    | ~ hskp9
    | ~ hskp10
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[88,35865,theory(equality)]) ).

cnf(35870,negated_conjecture,
    ( hskp28
    | c2_1(a420)
    | ~ hskp11
    | ~ hskp10
    | ~ c3_1(a420) ),
    inference(spm,[status(thm)],[81,35865,theory(equality)]) ).

cnf(35878,negated_conjecture,
    ( hskp28
    | hskp25
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1129,35865,theory(equality)]) ).

cnf(36930,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp4
    | ~ hskp10
    | ~ c3_1(a404) ),
    inference(spm,[status(thm)],[108,35878,theory(equality)]) ).

cnf(37010,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp10
    | ~ hskp4 ),
    inference(csr,[status(thm)],[36930,109]) ).

cnf(37011,negated_conjecture,
    ( hskp28
    | hskp25
    | ~ hskp10 ),
    inference(csr,[status(thm)],[37010,14942]) ).

cnf(37028,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20
    | hskp12 ),
    inference(spm,[status(thm)],[37011,14898,theory(equality)]) ).

cnf(37069,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp20 ),
    inference(csr,[status(thm)],[37028,1713]) ).

cnf(37070,negated_conjecture,
    ( hskp28
    | hskp25 ),
    inference(csr,[status(thm)],[37069,1760]) ).

cnf(37881,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp2
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[31699,2619]) ).

cnf(37882,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[37881,2957]) ).

cnf(37890,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(a460)
    | c3_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2548,33]) ).

cnf(37891,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[37890,32]) ).

cnf(37894,negated_conjecture,
    ( hskp13
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp23
    | ~ c2_1(a409) ),
    inference(spm,[status(thm)],[101,37891,theory(equality)]) ).

cnf(37900,negated_conjecture,
    ( hskp13
    | c3_1(a434)
    | ~ hskp16
    | ~ hskp23
    | ~ c2_1(a434) ),
    inference(spm,[status(thm)],[61,37891,theory(equality)]) ).

cnf(37904,negated_conjecture,
    ( hskp20
    | hskp13
    | c3_1(a400)
    | ~ hskp0
    | ~ hskp23
    | ~ c2_1(a400) ),
    inference(spm,[status(thm)],[1233,37891,theory(equality)]) ).

cnf(38208,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp4
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[32424,37882]) ).

cnf(38395,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp4
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[32445,38208]) ).

cnf(38396,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp4
    | ~ hskp5 ),
    inference(csr,[status(thm)],[38395,35238]) ).

cnf(38397,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp7
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1653,38396,theory(equality)]) ).

cnf(38463,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp4 ),
    inference(csr,[status(thm)],[38397,8327]) ).

cnf(38593,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[32754,11892]) ).

cnf(38594,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[38593,3031]) ).

cnf(39118,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp15
    | hskp11
    | hskp0 ),
    inference(csr,[status(thm)],[33271,38594]) ).

cnf(39119,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp11
    | hskp0 ),
    inference(csr,[status(thm)],[39118,5185]) ).

cnf(39120,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp0 ),
    inference(csr,[status(thm)],[39119,34446]) ).

cnf(39343,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp15
    | ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[33361,11995]) ).

cnf(39346,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp2
    | ~ hskp15
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[39343,5680,theory(equality)]) ).

cnf(39434,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp13
    | ~ hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[33366,2636,theory(equality)]) ).

cnf(40440,negated_conjecture,
    ( hskp9
    | c0_1(a427)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2602,14804]) ).

cnf(40441,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[40440,72]) ).

cnf(40442,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp2
    | ~ hskp13
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,40441,theory(equality)]) ).

cnf(40443,negated_conjecture,
    ( hskp9
    | c3_1(a410)
    | ~ hskp7
    | ~ hskp13
    | ~ c0_1(a410) ),
    inference(spm,[status(thm)],[97,40441,theory(equality)]) ).

cnf(40528,negated_conjecture,
    ( hskp9
    | c0_1(a434)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2603,60]) ).

cnf(40529,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[40528,61]) ).

cnf(40530,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp2
    | ~ hskp16
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,40529,theory(equality)]) ).

cnf(40539,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | hskp9
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1179,40529,theory(equality)]) ).

cnf(40598,negated_conjecture,
    ( hskp20
    | hskp9
    | c3_1(a426)
    | ~ hskp16
    | ~ hskp12 ),
    inference(spm,[status(thm)],[40539,78,theory(equality)]) ).

cnf(40600,negated_conjecture,
    ( hskp20
    | hskp9
    | c3_1(a440)
    | ~ hskp16
    | ~ hskp18 ),
    inference(spm,[status(thm)],[40539,54,theory(equality)]) ).

cnf(40959,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2606,32]) ).

cnf(41072,negated_conjecture,
    ( hskp20
    | hskp9
    | c3_1(a426)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[40598,7604]) ).

cnf(41078,negated_conjecture,
    ( hskp13
    | hskp2
    | hskp20
    | hskp9
    | ~ hskp12
    | ~ hskp16 ),
    inference(spm,[status(thm)],[5575,41072,theory(equality)]) ).

cnf(41185,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[40600,52]) ).

cnf(41210,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp7
    | ~ hskp18 ),
    inference(spm,[status(thm)],[41185,11826,theory(equality)]) ).

cnf(41233,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp7
    | ~ hskp27 ),
    inference(spm,[status(thm)],[41210,15610,theory(equality)]) ).

cnf(41645,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a402)
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2640,117]) ).

cnf(41646,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X1)
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[41645,116]) ).

cnf(41649,negated_conjecture,
    ( hskp9
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp2
    | ~ c2_1(a409) ),
    inference(spm,[status(thm)],[101,41646,theory(equality)]) ).

cnf(41653,negated_conjecture,
    ( hskp9
    | c3_1(a427)
    | ~ hskp13
    | ~ hskp2
    | ~ c2_1(a427) ),
    inference(spm,[status(thm)],[72,41646,theory(equality)]) ).

cnf(41654,negated_conjecture,
    ( hskp9
    | c3_1(a428)
    | ~ hskp14
    | ~ hskp2
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[69,41646,theory(equality)]) ).

cnf(41655,negated_conjecture,
    ( hskp9
    | c3_1(a434)
    | ~ hskp16
    | ~ hskp2
    | ~ c2_1(a434) ),
    inference(spm,[status(thm)],[61,41646,theory(equality)]) ).

cnf(41853,negated_conjecture,
    ( hskp1
    | c3_1(a402)
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34458,118]) ).

cnf(42173,negated_conjecture,
    ( hskp1
    | c3_1(a410)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[34459,98]) ).

cnf(42174,negated_conjecture,
    ( hskp1
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[42173,96]) ).

cnf(42177,negated_conjecture,
    ( hskp1
    | hskp2
    | ~ hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[42174,5680,theory(equality)]) ).

cnf(42195,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[42177,35600]) ).

cnf(42339,negated_conjecture,
    ( hskp1
    | c3_1(a451)
    | ~ hskp22
    | ~ hskp13 ),
    inference(csr,[status(thm)],[34466,38]) ).

cnf(42340,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ hskp13 ),
    inference(csr,[status(thm)],[42339,33574]) ).

cnf(42350,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[9434,42340,theory(equality)]) ).

cnf(42358,negated_conjecture,
    ( ~ hskp22
    | ~ hskp19
    | ~ hskp13 ),
    inference(spm,[status(thm)],[29370,42340,theory(equality)]) ).

cnf(42391,negated_conjecture,
    ( hskp3
    | ~ hskp13
    | ~ hskp18 ),
    inference(spm,[status(thm)],[42350,16683,theory(equality)]) ).

cnf(42394,negated_conjecture,
    ( hskp11
    | ~ hskp19
    | ~ hskp13
    | ~ hskp28 ),
    inference(spm,[status(thm)],[42358,1555,theory(equality)]) ).

cnf(42405,negated_conjecture,
    ( ~ hskp19
    | ~ hskp13
    | ~ hskp18 ),
    inference(spm,[status(thm)],[42358,16683,theory(equality)]) ).

cnf(42488,negated_conjecture,
    ( hskp24
    | ~ hskp18
    | ~ hskp13
    | ~ hskp27 ),
    inference(spm,[status(thm)],[42405,1406,theory(equality)]) ).

cnf(42539,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp28
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[42394,12368,theory(equality)]) ).

cnf(42584,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp27
    | ~ hskp18
    | ~ hskp20 ),
    inference(spm,[status(thm)],[42488,5680,theory(equality)]) ).

cnf(42836,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp28
    | ~ hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[42539,5680,theory(equality)]) ).

cnf(42875,negated_conjecture,
    ( hskp24
    | hskp2
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[42584,35600]) ).

cnf(42935,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp28
    | ~ hskp7 ),
    inference(csr,[status(thm)],[42836,35600]) ).

cnf(42938,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp27
    | hskp4
    | ~ hskp7 ),
    inference(spm,[status(thm)],[42935,27113,theory(equality)]) ).

cnf(43081,negated_conjecture,
    ( hskp27
    | hskp11
    | hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[42938,28233]) ).

cnf(43184,negated_conjecture,
    ( hskp1
    | ~ hskp19
    | ~ hskp2
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[34664,118]) ).

cnf(43196,negated_conjecture,
    ( hskp1
    | hskp4
    | ~ hskp19
    | ~ hskp2
    | ~ hskp22 ),
    inference(spm,[status(thm)],[43184,26185,theory(equality)]) ).

cnf(43360,negated_conjecture,
    ( hskp4
    | ~ hskp22
    | ~ hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[43196,33592]) ).

cnf(43373,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp2
    | ~ hskp18 ),
    inference(spm,[status(thm)],[43360,16683,theory(equality)]) ).

cnf(43375,negated_conjecture,
    ( hskp4
    | hskp24
    | ~ hskp18
    | ~ hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43373,1406,theory(equality)]) ).

cnf(43680,negated_conjecture,
    ( hskp24
    | hskp4
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[43375,42875]) ).

cnf(43681,negated_conjecture,
    ( hskp4
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[43680,25248]) ).

cnf(43685,negated_conjecture,
    ( hskp4
    | hskp20
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43681,15610,theory(equality)]) ).

cnf(43687,negated_conjecture,
    ( hskp20
    | hskp4 ),
    inference(csr,[status(thm)],[43685,23331]) ).

cnf(44230,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c3_1(a460)
    | c1_1(X1)
    | ~ hskp23
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2665,33]) ).

cnf(44231,negated_conjecture,
    ( hskp7
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[44230,32]) ).

cnf(44235,negated_conjecture,
    ( hskp7
    | c0_1(a416)
    | ~ hskp9
    | ~ hskp23
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[88,44231,theory(equality)]) ).

cnf(44237,negated_conjecture,
    ( hskp7
    | c0_1(a428)
    | ~ hskp14
    | ~ hskp23
    | ~ c3_1(a428) ),
    inference(spm,[status(thm)],[68,44231,theory(equality)]) ).

cnf(44246,negated_conjecture,
    ( hskp27
    | hskp9
    | c0_1(X1)
    | hskp7
    | ~ c3_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1137,44231,theory(equality)]) ).

cnf(44346,negated_conjecture,
    ( hskp1
    | ~ hskp22
    | ~ hskp19
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[34672,38]) ).

cnf(44347,negated_conjecture,
    ( ~ hskp22
    | ~ hskp19
    | ~ c2_1(a445) ),
    inference(csr,[status(thm)],[44346,33592]) ).

cnf(44356,negated_conjecture,
    ( hskp10
    | ~ hskp22
    | ~ hskp19 ),
    inference(spm,[status(thm)],[44347,20037,theory(equality)]) ).

cnf(44359,negated_conjecture,
    ( hskp4
    | ~ hskp22
    | ~ hskp19 ),
    inference(spm,[status(thm)],[44347,26185,theory(equality)]) ).

cnf(44382,negated_conjecture,
    ( hskp4
    | hskp11
    | hskp5
    | ~ hskp19
    | ~ hskp27 ),
    inference(spm,[status(thm)],[44359,4696,theory(equality)]) ).

cnf(44819,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp4
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[44382,1406,theory(equality)]) ).

cnf(45089,negated_conjecture,
    ( hskp7
    | hskp2
    | c0_1(X1)
    | c0_1(X2)
    | hskp1
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[2676,2285]) ).

cnf(45090,negated_conjecture,
    ( hskp7
    | hskp2
    | c0_1(X1)
    | c0_1(X2)
    | hskp1
    | c3_1(X2)
    | c2_1(X2) ),
    inference(csr,[status(thm)],[45089,2285]) ).

cnf(45091,negated_conjecture,
    ( hskp7
    | hskp2
    | c0_1(X2)
    | hskp1
    | c3_1(X2)
    | c2_1(X2) ),
    inference(csr,[status(thm)],[45090,2285]) ).

cnf(45092,negated_conjecture,
    ( hskp2
    | c0_1(X2)
    | hskp1
    | c3_1(X2)
    | c2_1(X2) ),
    inference(csr,[status(thm)],[45091,42195]) ).

cnf(45121,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1)
    | hskp1 ),
    inference(spm,[status(thm)],[1167,45092,theory(equality)]) ).

cnf(45625,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[44819,25243]) ).

cnf(45652,negated_conjecture,
    ( hskp11
    | hskp5
    | hskp4
    | hskp2 ),
    inference(spm,[status(thm)],[45625,43081,theory(equality)]) ).

cnf(45662,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp5
    | hskp4 ),
    inference(spm,[status(thm)],[2957,45652,theory(equality)]) ).

cnf(45663,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[45662,4021]) ).

cnf(45665,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp4
    | ~ hskp9 ),
    inference(spm,[status(thm)],[31920,45663,theory(equality)]) ).

cnf(45667,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | hskp4 ),
    inference(spm,[status(thm)],[33167,45663,theory(equality)]) ).

cnf(45669,negated_conjecture,
    ( hskp4
    | hskp2
    | ~ hskp9 ),
    inference(csr,[status(thm)],[45665,21750]) ).

cnf(45673,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[45667,35238]) ).

cnf(46062,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[45121,33358]) ).

cnf(46064,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a403)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[113,46062,theory(equality)]) ).

cnf(46069,negated_conjecture,
    ( hskp11
    | hskp2
    | c3_1(a439)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[57,46062,theory(equality)]) ).

cnf(46126,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp3 ),
    inference(csr,[status(thm)],[46064,112]) ).

cnf(46376,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp17 ),
    inference(csr,[status(thm)],[46069,56]) ).

cnf(46377,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[46376,8,theory(equality)]) ).

cnf(46389,negated_conjecture,
    ( hskp11
    | hskp8
    | hskp2 ),
    inference(csr,[status(thm)],[46377,46126]) ).

cnf(46392,negated_conjecture,
    ( hskp2
    | hskp11
    | ~ hskp20
    | ~ hskp15 ),
    inference(spm,[status(thm)],[5914,46389,theory(equality)]) ).

cnf(46403,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp2
    | ~ hskp1 ),
    inference(spm,[status(thm)],[14271,46389,theory(equality)]) ).

cnf(46419,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp15 ),
    inference(csr,[status(thm)],[46392,35600]) ).

cnf(46420,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp7
    | hskp3 ),
    inference(spm,[status(thm)],[46419,10,theory(equality)]) ).

cnf(46434,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[46420,46126]) ).

cnf(46435,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp7 ),
    inference(spm,[status(thm)],[2957,46434,theory(equality)]) ).

cnf(46436,negated_conjecture,
    ( hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[46435,42195]) ).

cnf(46450,negated_conjecture,
    ( hskp11
    | hskp3
    | hskp2 ),
    inference(csr,[status(thm)],[46403,46436]) ).

cnf(46451,negated_conjecture,
    ( hskp11
    | hskp2 ),
    inference(csr,[status(thm)],[46450,46126]) ).

cnf(46713,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(a400)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2723,125]) ).

cnf(46714,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[46713,124]) ).

cnf(46719,negated_conjecture,
    ( hskp3
    | c0_1(a420)
    | c3_1(a420)
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[81,46714,theory(equality)]) ).

cnf(46906,negated_conjecture,
    ( hskp28
    | ~ hskp10
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[35866,116]) ).

cnf(46907,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp1
    | ~ hskp10
    | ~ hskp2 ),
    inference(spm,[status(thm)],[46906,2560,theory(equality)]) ).

cnf(46914,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp1
    | ~ hskp10 ),
    inference(csr,[status(thm)],[46907,46436]) ).

cnf(46930,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp1
    | hskp20 ),
    inference(spm,[status(thm)],[46914,14898,theory(equality)]) ).

cnf(46975,negated_conjecture,
    ( hskp28
    | hskp20
    | hskp12 ),
    inference(csr,[status(thm)],[46930,1235]) ).

cnf(46976,negated_conjecture,
    ( hskp20
    | hskp12 ),
    inference(csr,[status(thm)],[46975,23185]) ).

cnf(47340,negated_conjecture,
    ( hskp28
    | c2_1(a416)
    | ~ hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[35869,90]) ).

cnf(47351,negated_conjecture,
    ( hskp11
    | hskp28
    | ~ hskp9
    | ~ hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[13361,47340,theory(equality)]) ).

cnf(47396,negated_conjecture,
    ( hskp28
    | hskp11
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[47351,20793]) ).

cnf(47556,negated_conjecture,
    ( hskp28
    | ~ hskp11
    | ~ hskp10
    | ~ c3_1(a420) ),
    inference(csr,[status(thm)],[35870,80]) ).

cnf(47840,negated_conjecture,
    ( hskp13
    | c3_1(a409)
    | ~ hskp23
    | ~ hskp6 ),
    inference(csr,[status(thm)],[37894,102]) ).

cnf(47841,negated_conjecture,
    ( hskp13
    | ~ hskp23
    | ~ hskp6 ),
    inference(csr,[status(thm)],[47840,100]) ).

cnf(47858,negated_conjecture,
    ( hskp20
    | ~ hskp7
    | ~ hskp23
    | ~ hskp6 ),
    inference(spm,[status(thm)],[35577,47841,theory(equality)]) ).

cnf(47860,negated_conjecture,
    ( hskp20
    | ~ hskp18
    | ~ hskp23
    | ~ hskp6 ),
    inference(spm,[status(thm)],[35708,47841,theory(equality)]) ).

cnf(47957,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp15
    | ~ hskp23
    | ~ hskp7 ),
    inference(spm,[status(thm)],[47858,11952,theory(equality)]) ).

cnf(48037,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp15
    | ~ hskp23
    | ~ hskp18 ),
    inference(spm,[status(thm)],[47860,11952,theory(equality)]) ).

cnf(48667,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp23
    | ~ hskp7 ),
    inference(csr,[status(thm)],[47957,15609]) ).

cnf(48669,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp27
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[48667,1878,theory(equality)]) ).

cnf(48738,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp23
    | ~ hskp18 ),
    inference(csr,[status(thm)],[48037,15609]) ).

cnf(48740,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp27
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[48738,1878,theory(equality)]) ).

cnf(48901,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15
    | ~ hskp7 ),
    inference(csr,[status(thm)],[48669,46976]) ).

cnf(49010,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15
    | ~ hskp18 ),
    inference(csr,[status(thm)],[48740,46976]) ).

cnf(49325,negated_conjecture,
    ( hskp13
    | ~ hskp23
    | ~ hskp16
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[37900,60]) ).

cnf(49326,negated_conjecture,
    ( hskp13
    | hskp27
    | hskp0
    | ~ hskp23
    | ~ hskp16 ),
    inference(spm,[status(thm)],[49325,3152,theory(equality)]) ).

cnf(49328,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp8
    | ~ hskp23
    | ~ hskp16 ),
    inference(spm,[status(thm)],[49325,6901,theory(equality)]) ).

cnf(49335,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp0
    | ~ hskp16 ),
    inference(csr,[status(thm)],[49326,39120]) ).

cnf(49366,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp0
    | hskp7 ),
    inference(spm,[status(thm)],[49335,23054,theory(equality)]) ).

cnf(49454,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp7
    | hskp0
    | ~ hskp18 ),
    inference(spm,[status(thm)],[42391,49366,theory(equality)]) ).

cnf(49471,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp8
    | hskp7
    | ~ hskp23
    | ~ hskp4 ),
    inference(spm,[status(thm)],[49328,2636,theory(equality)]) ).

cnf(49753,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp0
    | ~ hskp18 ),
    inference(csr,[status(thm)],[49454,3031]) ).

cnf(50597,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp2
    | ~ hskp15
    | ~ hskp1 ),
    inference(csr,[status(thm)],[39346,11995]) ).

cnf(50598,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp2
    | ~ hskp15 ),
    inference(csr,[status(thm)],[50597,46436]) ).

cnf(50769,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[39434,45673]) ).

cnf(50770,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[50769,46436]) ).

cnf(50771,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15
    | ~ hskp20 ),
    inference(spm,[status(thm)],[50770,5680,theory(equality)]) ).

cnf(50789,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp15 ),
    inference(csr,[status(thm)],[50771,35600]) ).

cnf(50790,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp3 ),
    inference(spm,[status(thm)],[50789,10,theory(equality)]) ).

cnf(51021,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2795,33]) ).

cnf(51293,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[40442,118]) ).

cnf(51500,negated_conjecture,
    ( hskp9
    | c3_1(a410)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[40443,98]) ).

cnf(51501,negated_conjecture,
    ( hskp9
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[51500,96]) ).

cnf(51502,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[51501,5680,theory(equality)]) ).

cnf(51517,negated_conjecture,
    ( hskp9
    | ~ hskp7
    | ~ hskp23
    | ~ hskp6 ),
    inference(spm,[status(thm)],[51501,47841,theory(equality)]) ).

cnf(51520,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[51502,35600]) ).

cnf(51521,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp4 ),
    inference(spm,[status(thm)],[51520,38463,theory(equality)]) ).

cnf(51524,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp3 ),
    inference(spm,[status(thm)],[51520,50790,theory(equality)]) ).

cnf(51525,negated_conjecture,
    ( hskp4
    | hskp2 ),
    inference(csr,[status(thm)],[51521,45669]) ).

cnf(51564,negated_conjecture,
    ( hskp9
    | hskp15
    | hskp2
    | ~ hskp23
    | ~ hskp7 ),
    inference(spm,[status(thm)],[51517,15138,theory(equality)]) ).

cnf(51657,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp2
    | ~ hskp23 ),
    inference(csr,[status(thm)],[51564,11328]) ).

cnf(51659,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp2
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[51657,1878,theory(equality)]) ).

cnf(51709,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[51659,7604]) ).

cnf(51710,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[51709,50598]) ).

cnf(52032,negated_conjecture,
    ( hskp9
    | c3_1(a402)
    | ~ hskp16
    | ~ hskp2 ),
    inference(csr,[status(thm)],[40530,118]) ).

cnf(52036,negated_conjecture,
    ( hskp4
    | hskp3
    | hskp9
    | ~ hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1594,52032,theory(equality)]) ).

cnf(52037,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp9
    | ~ hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1996,52032,theory(equality)]) ).

cnf(52047,negated_conjecture,
    ( hskp9
    | ~ hskp19
    | ~ hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[28830,52032,theory(equality)]) ).

cnf(52055,negated_conjecture,
    ( hskp9
    | hskp24
    | ~ hskp16
    | ~ hskp2
    | ~ hskp27 ),
    inference(spm,[status(thm)],[52047,1406,theory(equality)]) ).

cnf(52083,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[52036,51525]) ).

cnf(52089,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp3
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[52083,5055,theory(equality)]) ).

cnf(52129,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[52037,51524]) ).

cnf(52131,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp3
    | hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[52129,2636,theory(equality)]) ).

cnf(52273,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp7
    | ~ hskp27
    | ~ hskp2
    | ~ hskp4 ),
    inference(spm,[status(thm)],[52055,2636,theory(equality)]) ).

cnf(52431,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[52089,8324]) ).

cnf(52432,negated_conjecture,
    ( hskp9
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[52431,26082]) ).

cnf(52434,negated_conjecture,
    ( hskp18
    | hskp9
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[52131,52432]) ).

cnf(52456,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp0
    | hskp9
    | hskp3 ),
    inference(spm,[status(thm)],[49753,52434,theory(equality)]) ).

cnf(52509,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[52456,3031]) ).

cnf(53944,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp9
    | hskp2
    | ~ hskp12 ),
    inference(csr,[status(thm)],[41078,35600]) ).

cnf(53945,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp9
    | hskp2 ),
    inference(csr,[status(thm)],[53944,35600]) ).

cnf(53946,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp2 ),
    inference(csr,[status(thm)],[53945,35600]) ).

cnf(53947,negated_conjecture,
    ( hskp13
    | hskp2 ),
    inference(csr,[status(thm)],[53946,5680]) ).

cnf(54475,negated_conjecture,
    ( hskp9
    | c3_1(a409)
    | ~ hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[41649,102]) ).

cnf(54476,negated_conjecture,
    ( hskp9
    | ~ hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[54475,100]) ).

cnf(54477,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp15
    | ~ hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[54476,2933,theory(equality)]) ).

cnf(54478,negated_conjecture,
    ( hskp9
    | hskp27
    | hskp24
    | hskp15
    | ~ hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[54476,2981,theory(equality)]) ).

cnf(54516,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[54477,35600]) ).

cnf(54519,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp9
    | ~ hskp0 ),
    inference(spm,[status(thm)],[11995,54516,theory(equality)]) ).

cnf(54529,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp9 ),
    inference(csr,[status(thm)],[54519,11892]) ).

cnf(54534,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp7 ),
    inference(spm,[status(thm)],[41233,54529,theory(equality)]) ).

cnf(54615,negated_conjecture,
    ( hskp9
    | c3_1(a427)
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[41653,73]) ).

cnf(54618,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp13
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2180,54615,theory(equality)]) ).

cnf(54633,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[54618,51710]) ).

cnf(54765,negated_conjecture,
    ( hskp9
    | c3_1(a428)
    | ~ hskp14
    | ~ hskp2 ),
    inference(csr,[status(thm)],[41654,70]) ).

cnf(54791,negated_conjecture,
    ( hskp9
    | ~ hskp16
    | ~ hskp2
    | ~ c2_1(a434) ),
    inference(csr,[status(thm)],[41655,60]) ).

cnf(54793,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp16
    | ~ hskp2 ),
    inference(spm,[status(thm)],[54791,6901,theory(equality)]) ).

cnf(54825,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp27
    | hskp7
    | ~ hskp2 ),
    inference(spm,[status(thm)],[54793,24479,theory(equality)]) ).

cnf(55084,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[54825,51710]) ).

cnf(57007,negated_conjecture,
    ( hskp7
    | c0_1(a416)
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[44235,90]) ).

cnf(57008,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp9 ),
    inference(csr,[status(thm)],[57007,89]) ).

cnf(57009,negated_conjecture,
    ( hskp7
    | hskp20
    | hskp18
    | ~ hskp9 ),
    inference(spm,[status(thm)],[57008,9,theory(equality)]) ).

cnf(57025,negated_conjecture,
    ( hskp7
    | hskp27
    | hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[57008,39120,theory(equality)]) ).

cnf(57033,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp7 ),
    inference(csr,[status(thm)],[57009,54534]) ).

cnf(57052,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15
    | hskp7 ),
    inference(spm,[status(thm)],[49010,57033,theory(equality)]) ).

cnf(57059,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15 ),
    inference(csr,[status(thm)],[57052,48901]) ).

cnf(57092,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[57025,52509]) ).

cnf(57422,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp14
    | ~ c3_1(a428) ),
    inference(csr,[status(thm)],[44237,69]) ).

cnf(57428,negated_conjecture,
    ( hskp7
    | hskp9
    | ~ hskp23
    | ~ hskp14
    | ~ hskp2 ),
    inference(spm,[status(thm)],[57422,54765,theory(equality)]) ).

cnf(57460,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp23
    | ~ hskp14 ),
    inference(csr,[status(thm)],[57428,11328]) ).

cnf(57461,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ hskp14 ),
    inference(csr,[status(thm)],[57460,57008]) ).

cnf(58762,negated_conjecture,
    ( c2_1(a426)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ hskp12
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3243,78]) ).

cnf(58763,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ hskp12
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[58762,76]) ).

cnf(58764,negated_conjecture,
    ( c2_1(a402)
    | ~ hskp2
    | ~ hskp27
    | ~ hskp12
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[117,58763,theory(equality)]) ).

cnf(58773,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1179,58763,theory(equality)]) ).

cnf(59083,negated_conjecture,
    ( hskp3
    | c3_1(a420)
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[46719,82]) ).

cnf(59086,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2043,59083,theory(equality)]) ).

cnf(59105,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp11
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[47556,59083,theory(equality)]) ).

cnf(59108,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[16690,59086,theory(equality)]) ).

cnf(59142,negated_conjecture,
    ( hskp3
    | ~ hskp28
    | ~ hskp0 ),
    inference(csr,[status(thm)],[59108,9997]) ).

cnf(59147,negated_conjecture,
    ( hskp3
    | hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[59142,37070,theory(equality)]) ).

cnf(59153,negated_conjecture,
    ( hskp25
    | hskp3 ),
    inference(csr,[status(thm)],[59147,19018]) ).

cnf(59180,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ hskp20
    | ~ c0_1(a449)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3247,44]) ).

cnf(59448,negated_conjecture,
    ( hskp3
    | ~ hskp11
    | ~ hskp10
    | ~ hskp0 ),
    inference(csr,[status(thm)],[59105,59142]) ).

cnf(60605,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ hskp13
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c2_1(a401)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3288,73]) ).

cnf(60606,negated_conjecture,
    ( c0_1(a427)
    | c1_1(X1)
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[60605,32795]) ).

cnf(60607,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[60606,72]) ).

cnf(60609,negated_conjecture,
    ( ~ hskp7
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ c2_1(a410) ),
    inference(spm,[status(thm)],[97,60607,theory(equality)]) ).

cnf(60611,negated_conjecture,
    ( ~ hskp9
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ c2_1(a416) ),
    inference(spm,[status(thm)],[88,60607,theory(equality)]) ).

cnf(60613,negated_conjecture,
    ( ~ hskp14
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ c2_1(a428) ),
    inference(spm,[status(thm)],[68,60607,theory(equality)]) ).

cnf(61772,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp8
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[49471,38463]) ).

cnf(61773,negated_conjecture,
    ( hskp13
    | hskp8
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[61772,57008]) ).

cnf(61786,negated_conjecture,
    ( hskp20
    | hskp8
    | hskp7
    | ~ hskp18
    | ~ hskp23 ),
    inference(spm,[status(thm)],[35708,61773,theory(equality)]) ).

cnf(61975,negated_conjecture,
    ( hskp20
    | hskp8
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[61786,57033]) ).

cnf(61977,negated_conjecture,
    ( hskp20
    | hskp8
    | hskp7
    | hskp27
    | ~ hskp12 ),
    inference(spm,[status(thm)],[61975,1878,theory(equality)]) ).

cnf(62253,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[61977,46976]) ).

cnf(62254,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp7
    | ~ hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[4299,62253,theory(equality)]) ).

cnf(62326,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp7
    | ~ hskp15 ),
    inference(csr,[status(thm)],[62254,11892]) ).

cnf(62327,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp7 ),
    inference(csr,[status(thm)],[62326,57059]) ).

cnf(63218,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp7
    | ~ hskp27
    | ~ hskp2 ),
    inference(csr,[status(thm)],[52273,38463]) ).

cnf(63222,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7
    | ~ hskp20
    | ~ hskp27
    | ~ hskp2 ),
    inference(spm,[status(thm)],[21096,63218,theory(equality)]) ).

cnf(63768,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp15
    | hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[54478,51710]) ).

cnf(66349,negated_conjecture,
    ( c2_1(a402)
    | ~ hskp27
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[58764,118]) ).

cnf(66350,negated_conjecture,
    ( ~ hskp27
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[66349,116]) ).

cnf(66354,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[66350,11892,theory(equality)]) ).

cnf(66362,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[66350,54529,theory(equality)]) ).

cnf(66366,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[66350,62327,theory(equality)]) ).

cnf(66380,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66354,35600]) ).

cnf(66381,negated_conjecture,
    ( hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[66380,46976]) ).

cnf(66414,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66362,35600]) ).

cnf(66415,negated_conjecture,
    ( hskp20
    | hskp9 ),
    inference(csr,[status(thm)],[66414,46976]) ).

cnf(66429,negated_conjecture,
    ( hskp20
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66366,35600]) ).

cnf(66430,negated_conjecture,
    ( hskp20
    | hskp7 ),
    inference(csr,[status(thm)],[66429,46976]) ).

cnf(66610,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(a401)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[4062,33574]) ).

cnf(66611,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ hskp1 ),
    inference(csr,[status(thm)],[66610,122]) ).

cnf(66612,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ hskp1 ),
    inference(csr,[status(thm)],[66611,120]) ).

cnf(66616,negated_conjecture,
    ( c0_1(a416)
    | c2_1(a416)
    | ~ hskp9
    | ~ hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[88,66612,theory(equality)]) ).

cnf(66617,negated_conjecture,
    ( c0_1(a420)
    | c2_1(a420)
    | ~ hskp11
    | ~ hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[81,66612,theory(equality)]) ).

cnf(66620,negated_conjecture,
    ( c0_1(a450)
    | c2_1(a450)
    | ~ hskp21
    | ~ hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[41,66612,theory(equality)]) ).

cnf(68536,negated_conjecture,
    ( ~ hskp13
    | ~ hskp7
    | ~ hskp1
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[60609,33152]) ).

cnf(68537,negated_conjecture,
    ( ~ hskp13
    | ~ hskp7
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[68536,42174]) ).

cnf(68920,negated_conjecture,
    ( hskp10
    | ~ hskp13
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[60611,20742,theory(equality)]) ).

cnf(68924,negated_conjecture,
    ( hskp28
    | ~ hskp13
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[60611,47340,theory(equality)]) ).

cnf(68929,negated_conjecture,
    ( ~ hskp14
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[60613,70]) ).

cnf(68932,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp14
    | ~ hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[68929,9913,theory(equality)]) ).

cnf(68940,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp14
    | ~ hskp13 ),
    inference(csr,[status(thm)],[68932,46436]) ).

cnf(68941,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp14 ),
    inference(csr,[status(thm)],[68940,53947]) ).

cnf(68946,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp16 ),
    inference(spm,[status(thm)],[68941,18073,theory(equality)]) ).

cnf(68948,negated_conjecture,
    ( hskp7
    | hskp2
    | ~ hskp4 ),
    inference(spm,[status(thm)],[68946,2636,theory(equality)]) ).

cnf(68998,negated_conjecture,
    ( hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[68948,51525]) ).

cnf(69000,negated_conjecture,
    ( hskp9
    | hskp2 ),
    inference(spm,[status(thm)],[51520,68998,theory(equality)]) ).

cnf(69953,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7
    | ~ hskp27
    | ~ hskp20 ),
    inference(csr,[status(thm)],[63222,69000]) ).

cnf(69954,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7
    | ~ hskp20 ),
    inference(csr,[status(thm)],[69953,55084]) ).

cnf(69955,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[69954,66415]) ).

cnf(70225,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a401)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ hskp1 ),
    inference(csr,[status(thm)],[4217,122]) ).

cnf(70226,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28
    | ~ hskp1 ),
    inference(csr,[status(thm)],[70225,120]) ).

cnf(70230,negated_conjecture,
    ( c0_1(a416)
    | c2_1(a416)
    | ~ hskp9
    | ~ hskp28
    | ~ hskp1 ),
    inference(spm,[status(thm)],[88,70226,theory(equality)]) ).

cnf(71490,negated_conjecture,
    ( c2_1(a416)
    | ~ hskp22
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[66616,89]) ).

cnf(71501,negated_conjecture,
    ( hskp11
    | ~ hskp9
    | ~ hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[13361,71490,theory(equality)]) ).

cnf(71515,negated_conjecture,
    ( hskp11
    | ~ hskp9
    | ~ hskp1
    | ~ hskp28 ),
    inference(spm,[status(thm)],[71501,1555,theory(equality)]) ).

cnf(71527,negated_conjecture,
    ( hskp11
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[71515,47396]) ).

cnf(71566,negated_conjecture,
    ( c0_1(a420)
    | ~ hskp22
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[66617,80]) ).

cnf(71567,negated_conjecture,
    ( ~ hskp22
    | ~ hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[71566,82]) ).

cnf(71787,negated_conjecture,
    ( c0_1(a450)
    | ~ hskp22
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[66620,33542]) ).

cnf(71788,negated_conjecture,
    ( ~ hskp22
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[71787,42]) ).

cnf(71798,negated_conjecture,
    ( ~ hskp21
    | ~ hskp1
    | ~ hskp18 ),
    inference(spm,[status(thm)],[71788,16683,theory(equality)]) ).

cnf(73412,negated_conjecture,
    ( c2_1(a416)
    | ~ hskp28
    | ~ hskp9
    | ~ hskp1 ),
    inference(csr,[status(thm)],[70230,89]) ).

cnf(73433,negated_conjecture,
    ( ~ hskp13
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a401)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[60611,73412,theory(equality)]) ).

cnf(73780,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp28
    | ~ hskp13
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[73433,1820,theory(equality)]) ).

cnf(75236,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp28
    | ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[73780,54633]) ).

cnf(75238,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp2
    | ~ hskp28
    | ~ hskp1 ),
    inference(spm,[status(thm)],[75236,53947,theory(equality)]) ).

cnf(75239,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp2
    | ~ hskp28 ),
    inference(csr,[status(thm)],[75238,46436]) ).

cnf(76962,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp21
    | hskp20
    | c2_1(a404)
    | ~ c3_1(a404) ),
    inference(csr,[status(thm)],[4493,43687]) ).

cnf(76963,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp21
    | hskp20
    | ~ hskp4
    | ~ c3_1(a404) ),
    inference(spm,[status(thm)],[108,76962,theory(equality)]) ).

cnf(78230,negated_conjecture,
    ( ~ hskp22
    | ~ hskp10
    | ~ c3_1(a418)
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[28512,38]) ).

cnf(78232,negated_conjecture,
    ( hskp19
    | ~ hskp22
    | ~ hskp10
    | ~ c3_1(a418)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[78230,12608,theory(equality)]) ).

cnf(78730,negated_conjecture,
    ( ~ hskp13
    | ~ hskp2
    | ~ c3_1(a427)
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[28635,118]) ).

cnf(78735,negated_conjecture,
    ( hskp1
    | ~ hskp13
    | ~ hskp2
    | ~ c3_1(a427) ),
    inference(spm,[status(thm)],[78730,41853,theory(equality)]) ).

cnf(78736,negated_conjecture,
    ( hskp9
    | ~ hskp13
    | ~ hskp2
    | ~ c3_1(a427) ),
    inference(spm,[status(thm)],[78730,51293,theory(equality)]) ).

cnf(78767,negated_conjecture,
    ( hskp1
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[78735,46436]) ).

cnf(78769,negated_conjecture,
    ( hskp1
    | hskp14
    | ~ hskp13
    | ~ hskp20 ),
    inference(spm,[status(thm)],[78767,17803,theory(equality)]) ).

cnf(78814,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp23
    | ~ hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[57461,78769,theory(equality)]) ).

cnf(78849,negated_conjecture,
    ( hskp9
    | ~ hskp13
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78736,54615]) ).

cnf(78850,negated_conjecture,
    ( hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[78849,69000]) ).

cnf(78934,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[78814,66430]) ).

cnf(78935,negated_conjecture,
    ( hskp1
    | ~ hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[78934,42174]) ).

cnf(78936,negated_conjecture,
    ( hskp1
    | ~ hskp23
    | ~ hskp6 ),
    inference(spm,[status(thm)],[78935,47841,theory(equality)]) ).

cnf(78938,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp15
    | ~ hskp23
    | ~ hskp0 ),
    inference(spm,[status(thm)],[78936,2933,theory(equality)]) ).

cnf(79135,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp1
    | ~ hskp23 ),
    inference(csr,[status(thm)],[78938,66381]) ).

cnf(79136,negated_conjecture,
    ( hskp20
    | hskp15
    | ~ hskp23 ),
    inference(csr,[status(thm)],[79135,1235]) ).

cnf(81019,negated_conjecture,
    ( ~ hskp22
    | ~ hskp13
    | ~ c0_1(a451)
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[28643,42340]) ).

cnf(81020,negated_conjecture,
    ( ~ hskp22
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[81019,38]) ).

cnf(81391,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp20
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[29024,118]) ).

cnf(81400,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp20
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[1942,81391,theory(equality)]) ).

cnf(81447,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp12
    | hskp1
    | ~ hskp20
    | ~ hskp2 ),
    inference(spm,[status(thm)],[81400,2560,theory(equality)]) ).

cnf(81448,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp9
    | ~ hskp20
    | ~ hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[81400,15399,theory(equality)]) ).

cnf(81453,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp12
    | hskp1
    | ~ hskp20 ),
    inference(csr,[status(thm)],[81447,46436]) ).

cnf(81454,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[81453,46976]) ).

cnf(81455,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp1 ),
    inference(csr,[status(thm)],[81454,1878]) ).

cnf(81674,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp9
    | ~ hskp20
    | ~ hskp2 ),
    inference(csr,[status(thm)],[81448,2256]) ).

cnf(81675,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp9
    | ~ hskp20 ),
    inference(csr,[status(thm)],[81674,2256]) ).

cnf(81676,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp9 ),
    inference(csr,[status(thm)],[81675,66415]) ).

cnf(82953,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp22
    | ~ hskp20
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[29032,38]) ).

cnf(82962,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp20
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[1942,82953,theory(equality)]) ).

cnf(83011,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp22
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[82962,33574,theory(equality)]) ).

cnf(83015,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp22
    | ~ hskp20 ),
    inference(csr,[status(thm)],[83011,81455]) ).

cnf(86626,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a400)
    | ~ c2_1(a410)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[32611,96]) ).

cnf(87067,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ c0_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[32618,37]) ).

cnf(87072,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ hskp0
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[87067,4298,theory(equality)]) ).

cnf(87341,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp15
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4722,87072,theory(equality)]) ).

cnf(87365,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[87341,66381]) ).

cnf(91543,negated_conjecture,
    ( ~ hskp23
    | ~ hskp7
    | ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(csr,[status(thm)],[33476,96]) ).

cnf(91999,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp23
    | ~ hskp22
    | ~ c0_1(a460) ),
    inference(csr,[status(thm)],[33483,37]) ).

cnf(94017,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp12
    | hskp10
    | c3_1(a401) ),
    inference(csr,[status(thm)],[35317,81455]) ).

cnf(94018,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp10
    | c3_1(a401) ),
    inference(csr,[status(thm)],[94017,1878]) ).

cnf(94019,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[120,94018,theory(equality)]) ).

cnf(94045,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp10 ),
    inference(csr,[status(thm)],[94019,81455]) ).

cnf(94052,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp23
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[59448,94045,theory(equality)]) ).

cnf(94056,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[94052,39120]) ).

cnf(94518,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[44246,81676]) ).

cnf(94530,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | ~ hskp24
    | ~ c3_1(a477) ),
    inference(spm,[status(thm)],[29,94518,theory(equality)]) ).

cnf(94725,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[94530,30]) ).

cnf(94727,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | ~ hskp15
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[94725,4318,theory(equality)]) ).

cnf(94744,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[94725,63768,theory(equality)]) ).

cnf(94809,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[94744,57092]) ).

cnf(94949,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | ~ hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[94727,57092]) ).

cnf(94950,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7
    | ~ hskp15 ),
    inference(csr,[status(thm)],[94949,69955]) ).

cnf(94951,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[94950,94809]) ).

cnf(94959,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[66350,94951,theory(equality)]) ).

cnf(94971,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[94959,69000]) ).

cnf(94972,negated_conjecture,
    ( hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[94971,7604]) ).

cnf(96307,negated_conjecture,
    ( hskp10
    | ~ hskp13
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[68920,1235]) ).

cnf(96308,negated_conjecture,
    ( hskp10
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[96307,78850]) ).

cnf(96382,negated_conjecture,
    ( hskp28
    | ~ hskp13
    | ~ hskp9
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[68924,96308]) ).

cnf(96383,negated_conjecture,
    ( hskp28
    | ~ hskp13
    | ~ hskp1
    | ~ c2_1(a401) ),
    inference(csr,[status(thm)],[96382,78850]) ).

cnf(96384,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp23
    | ~ hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[96383,1820,theory(equality)]) ).

cnf(96385,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[96384,81455]) ).

cnf(96387,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp23
    | hskp2 ),
    inference(spm,[status(thm)],[96385,53947,theory(equality)]) ).

cnf(96388,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp2 ),
    inference(csr,[status(thm)],[96387,75239]) ).

cnf(99223,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp21
    | hskp20
    | ~ hskp4 ),
    inference(csr,[status(thm)],[76963,109]) ).

cnf(99224,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp21
    | hskp20 ),
    inference(csr,[status(thm)],[99223,43687]) ).

cnf(99232,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp20
    | ~ hskp18
    | ~ hskp1 ),
    inference(spm,[status(thm)],[71798,99224,theory(equality)]) ).

cnf(99265,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[99232,81455]) ).

cnf(99266,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp20 ),
    inference(csr,[status(thm)],[99265,9]) ).

cnf(102301,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[58773,46976]) ).

cnf(102305,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | c2_1(a410)
    | ~ hskp27
    | ~ hskp7 ),
    inference(spm,[status(thm)],[102301,98,theory(equality)]) ).

cnf(102308,negated_conjecture,
    ( hskp20
    | c3_1(a440)
    | c2_1(a440)
    | ~ hskp27
    | ~ hskp18 ),
    inference(spm,[status(thm)],[102301,54,theory(equality)]) ).

cnf(103496,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | c2_1(a410)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[102305,66430]) ).

cnf(103517,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | ~ hskp13
    | ~ hskp7
    | ~ hskp27 ),
    inference(spm,[status(thm)],[68537,103496,theory(equality)]) ).

cnf(103554,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[103517,35577]) ).

cnf(103555,negated_conjecture,
    ( hskp20
    | c3_1(a410)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[103554,66430]) ).

cnf(103556,negated_conjecture,
    ( hskp20
    | ~ hskp7
    | ~ hskp13 ),
    inference(spm,[status(thm)],[96,103555,theory(equality)]) ).

cnf(103586,negated_conjecture,
    ( hskp20
    | ~ hskp13 ),
    inference(csr,[status(thm)],[103556,66430]) ).

cnf(103718,negated_conjecture,
    ( hskp20
    | c3_1(a440)
    | c2_1(a440)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[102308,15610]) ).

cnf(103719,negated_conjecture,
    ( hskp20
    | c3_1(a440)
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[53,103718,theory(equality)]) ).

cnf(103758,negated_conjecture,
    ( hskp20
    | c3_1(a440)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[103719,15610]) ).

cnf(103759,negated_conjecture,
    ( hskp20
    | ~ hskp18
    | ~ hskp27 ),
    inference(spm,[status(thm)],[52,103758,theory(equality)]) ).

cnf(103789,negated_conjecture,
    ( hskp20
    | ~ hskp27 ),
    inference(csr,[status(thm)],[103759,15610]) ).

cnf(104698,negated_conjecture,
    ( hskp3
    | ~ hskp25
    | ~ hskp22
    | ~ c0_1(a451)
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[9522,37]) ).

cnf(104699,negated_conjecture,
    ( hskp3
    | ~ hskp25
    | ~ hskp22
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[104698,38]) ).

cnf(104700,negated_conjecture,
    ( hskp3
    | ~ hskp22
    | ~ c2_1(a405) ),
    inference(csr,[status(thm)],[104699,59153]) ).

cnf(104701,negated_conjecture,
    ( hskp3
    | hskp27
    | hskp23
    | ~ hskp22
    | ~ hskp25 ),
    inference(spm,[status(thm)],[104700,1944,theory(equality)]) ).

cnf(104703,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[104701,59153]) ).

cnf(104705,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3
    | hskp11
    | ~ hskp25 ),
    inference(spm,[status(thm)],[104703,1946,theory(equality)]) ).

cnf(104748,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp11
    | hskp3 ),
    inference(csr,[status(thm)],[104705,59153]) ).

cnf(104749,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3 ),
    inference(csr,[status(thm)],[104748,94056]) ).

cnf(104757,negated_conjecture,
    ( hskp20
    | hskp15
    | hskp27
    | hskp3 ),
    inference(spm,[status(thm)],[79136,104749,theory(equality)]) ).

cnf(104855,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp15 ),
    inference(csr,[status(thm)],[104757,57059]) ).

cnf(104856,negated_conjecture,
    ( hskp20
    | hskp15 ),
    inference(csr,[status(thm)],[104855,103789]) ).

cnf(110143,negated_conjecture,
    ( hskp20
    | c3_1(a418)
    | ~ hskp22
    | ~ hskp10
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[10741,84]) ).

cnf(110144,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp10
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[110143,78230]) ).

cnf(110153,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp10
    | ~ hskp15
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[110144,87072,theory(equality)]) ).

cnf(110196,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp15
    | ~ hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[110153,87365]) ).

cnf(110197,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp10
    | ~ hskp8 ),
    inference(csr,[status(thm)],[110196,104856]) ).

cnf(110204,negated_conjecture,
    ( hskp20
    | ~ hskp10
    | ~ hskp8
    | ~ hskp18 ),
    inference(spm,[status(thm)],[110197,16683,theory(equality)]) ).

cnf(110244,negated_conjecture,
    ( hskp20
    | hskp27
    | hskp23
    | ~ hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[110204,94045,theory(equality)]) ).

cnf(110278,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[110244,99266]) ).

cnf(110279,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp20 ),
    inference(csr,[status(thm)],[110278,9]) ).

cnf(110280,negated_conjecture,
    ( hskp23
    | hskp20 ),
    inference(csr,[status(thm)],[110279,103789]) ).

cnf(112406,negated_conjecture,
    ( hskp20
    | hskp13
    | c3_1(a400)
    | ~ hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[37904,125]) ).

cnf(112407,negated_conjecture,
    ( hskp20
    | hskp13
    | c3_1(a400)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[112406,110280]) ).

cnf(112408,negated_conjecture,
    ( hskp20
    | hskp13
    | c3_1(a400) ),
    inference(csr,[status(thm)],[112407,66381]) ).

cnf(112409,negated_conjecture,
    ( hskp20
    | c3_1(a400) ),
    inference(csr,[status(thm)],[112408,103586]) ).

cnf(112410,negated_conjecture,
    ( hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[124,112409,theory(equality)]) ).

cnf(112438,negated_conjecture,
    hskp20,
    inference(csr,[status(thm)],[112410,66381]) ).

cnf(112496,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp22
    | $false ),
    inference(rw,[status(thm)],[83015,112438,theory(equality)]) ).

cnf(112497,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp22 ),
    inference(cn,[status(thm)],[112496,theory(equality)]) ).

cnf(112498,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp22
    | $false
    | ~ c3_1(a451) ),
    inference(rw,[status(thm)],[82953,112438,theory(equality)]) ).

cnf(112499,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(cn,[status(thm)],[112498,theory(equality)]) ).

cnf(112510,negated_conjecture,
    ( hskp27
    | hskp23
    | $false
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(rw,[status(thm)],[81400,112438,theory(equality)]) ).

cnf(112511,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(cn,[status(thm)],[112510,theory(equality)]) ).

cnf(112512,negated_conjecture,
    ( c0_1(a449)
    | $false
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(rw,[status(thm)],[81391,112438,theory(equality)]) ).

cnf(112513,negated_conjecture,
    ( c0_1(a449)
    | ~ hskp2
    | ~ c3_1(a402) ),
    inference(cn,[status(thm)],[112512,theory(equality)]) ).

cnf(112549,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | $false
    | ~ c0_1(a449)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[59180,112438,theory(equality)]) ).

cnf(112550,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ c0_1(a449)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[112549,theory(equality)]) ).

cnf(112589,negated_conjecture,
    ( hskp10
    | ~ hskp24
    | $false ),
    inference(rw,[status(thm)],[21087,112438,theory(equality)]) ).

cnf(112590,negated_conjecture,
    ( hskp10
    | ~ hskp24 ),
    inference(cn,[status(thm)],[112589,theory(equality)]) ).

cnf(112613,negated_conjecture,
    ( hskp14
    | c3_1(a427)
    | $false
    | ~ hskp13 ),
    inference(rw,[status(thm)],[17803,112438,theory(equality)]) ).

cnf(112614,negated_conjecture,
    ( hskp14
    | c3_1(a427)
    | ~ hskp13 ),
    inference(cn,[status(thm)],[112613,theory(equality)]) ).

cnf(112648,negated_conjecture,
    ( $false
    | ~ c2_1(a449) ),
    inference(rw,[status(thm)],[44,112438,theory(equality)]) ).

cnf(112649,negated_conjecture,
    ~ c2_1(a449),
    inference(cn,[status(thm)],[112648,theory(equality)]) ).

cnf(112650,negated_conjecture,
    ( c3_1(a449)
    | $false ),
    inference(rw,[status(thm)],[45,112438,theory(equality)]) ).

cnf(112651,negated_conjecture,
    c3_1(a449),
    inference(cn,[status(thm)],[112650,theory(equality)]) ).

cnf(112652,negated_conjecture,
    ( c1_1(a449)
    | $false ),
    inference(rw,[status(thm)],[46,112438,theory(equality)]) ).

cnf(112653,negated_conjecture,
    c1_1(a449),
    inference(cn,[status(thm)],[112652,theory(equality)]) ).

cnf(112850,negated_conjecture,
    ( hskp22
    | c2_1(a401)
    | c2_1(a449)
    | ~ hskp1
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[15802,112653,theory(equality)]) ).

cnf(112851,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | c2_1(a449)
    | ~ hskp2
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[15858,112653,theory(equality)]) ).

cnf(112852,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | c2_1(a449)
    | ~ hskp7
    | ~ c3_1(a449) ),
    inference(spm,[status(thm)],[15999,112653,theory(equality)]) ).

cnf(112899,negated_conjecture,
    ( hskp22
    | c2_1(a401)
    | c2_1(a449)
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[112850,112651,theory(equality)]) ).

cnf(112900,negated_conjecture,
    ( hskp22
    | c2_1(a401)
    | c2_1(a449)
    | ~ hskp1 ),
    inference(cn,[status(thm)],[112899,theory(equality)]) ).

cnf(112901,negated_conjecture,
    ( hskp22
    | c2_1(a401)
    | ~ hskp1 ),
    inference(sr,[status(thm)],[112900,112649,theory(equality)]) ).

cnf(112902,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | c2_1(a449)
    | ~ hskp2
    | $false ),
    inference(rw,[status(thm)],[112851,112651,theory(equality)]) ).

cnf(112903,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | c2_1(a449)
    | ~ hskp2 ),
    inference(cn,[status(thm)],[112902,theory(equality)]) ).

cnf(112904,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | ~ hskp2 ),
    inference(sr,[status(thm)],[112903,112649,theory(equality)]) ).

cnf(112905,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | c2_1(a449)
    | ~ hskp7
    | $false ),
    inference(rw,[status(thm)],[112852,112651,theory(equality)]) ).

cnf(112906,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | c2_1(a449)
    | ~ hskp7 ),
    inference(cn,[status(thm)],[112905,theory(equality)]) ).

cnf(112907,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | ~ hskp7 ),
    inference(sr,[status(thm)],[112906,112649,theory(equality)]) ).

cnf(114892,negated_conjecture,
    ( hskp22
    | ~ hskp14
    | ~ hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[68929,112901,theory(equality)]) ).

cnf(114938,negated_conjecture,
    ( hskp22
    | ~ hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[28830,112904,theory(equality)]) ).

cnf(114971,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[44356,114938,theory(equality)]) ).

cnf(115109,negated_conjecture,
    ( hskp27
    | hskp23
    | ~ c3_1(a402) ),
    inference(csr,[status(thm)],[112511,96388]) ).

cnf(115296,negated_conjecture,
    ( hskp22
    | ~ hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[33152,112907,theory(equality)]) ).

cnf(115361,negated_conjecture,
    ( ~ hskp11
    | ~ hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[71567,115296,theory(equality)]) ).

cnf(115516,negated_conjecture,
    ( hskp2
    | ~ hskp7
    | ~ hskp1 ),
    inference(spm,[status(thm)],[115361,46451,theory(equality)]) ).

cnf(115527,negated_conjecture,
    ( hskp2
    | ~ hskp7 ),
    inference(csr,[status(thm)],[115516,46436]) ).

cnf(115528,negated_conjecture,
    hskp2,
    inference(csr,[status(thm)],[115527,68998]) ).

cnf(115532,negated_conjecture,
    ( c0_1(a449)
    | $false
    | ~ c3_1(a402) ),
    inference(rw,[status(thm)],[112513,115528,theory(equality)]) ).

cnf(115533,negated_conjecture,
    ( c0_1(a449)
    | ~ c3_1(a402) ),
    inference(cn,[status(thm)],[115532,theory(equality)]) ).

cnf(115534,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | $false ),
    inference(rw,[status(thm)],[114971,115528,theory(equality)]) ).

cnf(115535,negated_conjecture,
    ( hskp10
    | ~ hskp19 ),
    inference(cn,[status(thm)],[115534,theory(equality)]) ).

cnf(115540,negated_conjecture,
    ( hskp22
    | c3_1(a402)
    | $false ),
    inference(rw,[status(thm)],[112904,115528,theory(equality)]) ).

cnf(115541,negated_conjecture,
    ( hskp22
    | c3_1(a402) ),
    inference(cn,[status(thm)],[115540,theory(equality)]) ).

cnf(115555,negated_conjecture,
    ( ~ hskp13
    | $false
    | ~ c3_1(a427)
    | ~ c3_1(a402) ),
    inference(rw,[status(thm)],[78730,115528,theory(equality)]) ).

cnf(115556,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a427)
    | ~ c3_1(a402) ),
    inference(cn,[status(thm)],[115555,theory(equality)]) ).

cnf(115578,negated_conjecture,
    ( ~ hskp27
    | ~ hskp12
    | $false ),
    inference(rw,[status(thm)],[66350,115528,theory(equality)]) ).

cnf(115579,negated_conjecture,
    ( ~ hskp27
    | ~ hskp12 ),
    inference(cn,[status(thm)],[115578,theory(equality)]) ).

cnf(115690,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a402)
    | $false ),
    inference(rw,[status(thm)],[2560,115528,theory(equality)]) ).

cnf(115691,negated_conjecture,
    ( hskp12
    | hskp1
    | c3_1(a402) ),
    inference(cn,[status(thm)],[115690,theory(equality)]) ).

cnf(115695,negated_conjecture,
    ( hskp18
    | hskp3
    | $false
    | ~ c3_1(a402) ),
    inference(rw,[status(thm)],[1996,115528,theory(equality)]) ).

cnf(115696,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ c3_1(a402) ),
    inference(cn,[status(thm)],[115695,theory(equality)]) ).

cnf(115698,negated_conjecture,
    ( $false
    | ~ c2_1(a402) ),
    inference(rw,[status(thm)],[116,115528,theory(equality)]) ).

cnf(115699,negated_conjecture,
    ~ c2_1(a402),
    inference(cn,[status(thm)],[115698,theory(equality)]) ).

cnf(115700,negated_conjecture,
    ( $false
    | ~ c1_1(a402) ),
    inference(rw,[status(thm)],[117,115528,theory(equality)]) ).

cnf(115701,negated_conjecture,
    ~ c1_1(a402),
    inference(cn,[status(thm)],[115700,theory(equality)]) ).

cnf(115702,negated_conjecture,
    ( c0_1(a402)
    | $false ),
    inference(rw,[status(thm)],[118,115528,theory(equality)]) ).

cnf(115703,negated_conjecture,
    c0_1(a402),
    inference(cn,[status(thm)],[115702,theory(equality)]) ).

cnf(115988,negated_conjecture,
    ( c2_1(a402)
    | ~ hskp27
    | ~ c0_1(a449)
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[115701,112550,theory(equality)]) ).

cnf(116046,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a449)
    | ~ c0_1(a402) ),
    inference(sr,[status(thm)],[115988,115699,theory(equality)]) ).

cnf(116256,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp22 ),
    inference(spm,[status(thm)],[115109,115541,theory(equality)]) ).

cnf(116294,negated_conjecture,
    ( hskp27
    | hskp23 ),
    inference(csr,[status(thm)],[116256,112497]) ).

cnf(116297,negated_conjecture,
    ( hskp7
    | hskp27
    | ~ hskp9 ),
    inference(spm,[status(thm)],[57008,116294,theory(equality)]) ).

cnf(117319,negated_conjecture,
    ( hskp27
    | hskp7 ),
    inference(csr,[status(thm)],[116297,94972]) ).

cnf(118134,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp22 ),
    inference(spm,[status(thm)],[115696,115541,theory(equality)]) ).

cnf(118139,negated_conjecture,
    ( hskp22
    | hskp3 ),
    inference(csr,[status(thm)],[118134,16683]) ).

cnf(118414,negated_conjecture,
    ( hskp22
    | ~ hskp13
    | ~ c3_1(a427) ),
    inference(spm,[status(thm)],[115556,115541,theory(equality)]) ).

cnf(118441,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a427) ),
    inference(csr,[status(thm)],[118414,81020]) ).

cnf(118443,negated_conjecture,
    ( hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[118441,112614,theory(equality)]) ).

cnf(118597,negated_conjecture,
    ( hskp22
    | ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[114892,118443]) ).

cnf(118607,negated_conjecture,
    ( ~ hskp11
    | ~ hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[71567,118597,theory(equality)]) ).

cnf(118714,negated_conjecture,
    ( ~ hskp13
    | ~ hskp1 ),
    inference(csr,[status(thm)],[118607,33212]) ).

cnf(119139,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a449)
    | $false ),
    inference(rw,[status(thm)],[116046,115703,theory(equality)]) ).

cnf(119140,negated_conjecture,
    ( ~ hskp27
    | ~ c0_1(a449) ),
    inference(cn,[status(thm)],[119139,theory(equality)]) ).

cnf(119172,negated_conjecture,
    ( ~ hskp27
    | ~ hskp22
    | ~ c3_1(a451) ),
    inference(spm,[status(thm)],[119140,112499,theory(equality)]) ).

cnf(119177,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a402) ),
    inference(spm,[status(thm)],[119140,115533,theory(equality)]) ).

cnf(119262,negated_conjecture,
    ( hskp22
    | ~ hskp27 ),
    inference(spm,[status(thm)],[119177,115541,theory(equality)]) ).

cnf(119266,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[119177,115691,theory(equality)]) ).

cnf(119276,negated_conjecture,
    ( ~ hskp11
    | ~ hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[71567,119262,theory(equality)]) ).

cnf(119348,negated_conjecture,
    ( hskp1
    | ~ hskp27 ),
    inference(csr,[status(thm)],[119266,115579]) ).

cnf(119356,negated_conjecture,
    ( hskp1
    | hskp7 ),
    inference(spm,[status(thm)],[119348,117319,theory(equality)]) ).

cnf(119381,negated_conjecture,
    ( ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[119276,119348]) ).

cnf(119389,negated_conjecture,
    ( hskp7
    | ~ hskp11 ),
    inference(spm,[status(thm)],[119381,117319,theory(equality)]) ).

cnf(119398,negated_conjecture,
    ( hskp7
    | ~ hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[119389,71527,theory(equality)]) ).

cnf(119432,negated_conjecture,
    ( hskp7
    | ~ hskp9 ),
    inference(csr,[status(thm)],[119398,119356]) ).

cnf(119433,negated_conjecture,
    hskp7,
    inference(csr,[status(thm)],[119432,94972]) ).

cnf(119463,negated_conjecture,
    ( hskp22
    | c2_1(a410)
    | $false ),
    inference(rw,[status(thm)],[112907,119433,theory(equality)]) ).

cnf(119464,negated_conjecture,
    ( hskp22
    | c2_1(a410) ),
    inference(cn,[status(thm)],[119463,theory(equality)]) ).

cnf(119476,negated_conjecture,
    ( ~ hskp23
    | $false
    | ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(rw,[status(thm)],[91543,119433,theory(equality)]) ).

cnf(119477,negated_conjecture,
    ( ~ hskp23
    | ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(cn,[status(thm)],[119476,theory(equality)]) ).

cnf(119486,negated_conjecture,
    ( $false
    | ~ c0_1(a400)
    | ~ c2_1(a410)
    | ~ hskp0 ),
    inference(rw,[status(thm)],[86626,119433,theory(equality)]) ).

cnf(119487,negated_conjecture,
    ( ~ c0_1(a400)
    | ~ c2_1(a410)
    | ~ hskp0 ),
    inference(cn,[status(thm)],[119486,theory(equality)]) ).

cnf(119508,negated_conjecture,
    ( hskp1
    | ~ hskp13
    | $false ),
    inference(rw,[status(thm)],[42174,119433,theory(equality)]) ).

cnf(119509,negated_conjecture,
    ( hskp1
    | ~ hskp13 ),
    inference(cn,[status(thm)],[119508,theory(equality)]) ).

cnf(119520,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | $false
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[4656,119433,theory(equality)]) ).

cnf(119521,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[119520,theory(equality)]) ).

cnf(119527,negated_conjecture,
    ( $false
    | ~ c3_1(a410) ),
    inference(rw,[status(thm)],[96,119433,theory(equality)]) ).

cnf(119528,negated_conjecture,
    ~ c3_1(a410),
    inference(cn,[status(thm)],[119527,theory(equality)]) ).

cnf(119529,negated_conjecture,
    ( $false
    | ~ c1_1(a410) ),
    inference(rw,[status(thm)],[97,119433,theory(equality)]) ).

cnf(119530,negated_conjecture,
    ~ c1_1(a410),
    inference(cn,[status(thm)],[119529,theory(equality)]) ).

cnf(119531,negated_conjecture,
    ( c0_1(a410)
    | $false ),
    inference(rw,[status(thm)],[98,119433,theory(equality)]) ).

cnf(119532,negated_conjecture,
    c0_1(a410),
    inference(cn,[status(thm)],[119531,theory(equality)]) ).

cnf(119933,negated_conjecture,
    ~ hskp13,
    inference(csr,[status(thm)],[119509,118714]) ).

cnf(120053,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a451) ),
    inference(csr,[status(thm)],[119172,119262]) ).

cnf(120055,negated_conjecture,
    ( ~ hskp27
    | ~ hskp22
    | ~ hskp1 ),
    inference(spm,[status(thm)],[120053,33574,theory(equality)]) ).

cnf(120063,negated_conjecture,
    ( ~ hskp27
    | ~ hskp22 ),
    inference(csr,[status(thm)],[120055,119348]) ).

cnf(120064,negated_conjecture,
    ~ hskp27,
    inference(csr,[status(thm)],[120063,119262]) ).

cnf(120065,negated_conjecture,
    ( hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[120064,3031,theory(equality)]) ).

cnf(120067,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0 ),
    inference(sr,[status(thm)],[1177,120064,theory(equality)]) ).

cnf(120070,negated_conjecture,
    hskp23,
    inference(sr,[status(thm)],[116294,120064,theory(equality)]) ).

cnf(120095,negated_conjecture,
    ( c3_1(a451)
    | $false
    | ~ hskp22
    | ~ c0_1(a460) ),
    inference(rw,[status(thm)],[91999,120070,theory(equality)]) ).

cnf(120096,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ c0_1(a460) ),
    inference(cn,[status(thm)],[120095,theory(equality)]) ).

cnf(120133,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | $false
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(rw,[status(thm)],[51021,120070,theory(equality)]) ).

cnf(120134,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(cn,[status(thm)],[120133,theory(equality)]) ).

cnf(120144,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(X1)
    | c1_1(X1)
    | $false
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[40959,120070,theory(equality)]) ).

cnf(120145,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[120144,theory(equality)]) ).

cnf(120146,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[37891,120070,theory(equality)]) ).

cnf(120147,negated_conjecture,
    ( hskp13
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[120146,theory(equality)]) ).

cnf(120148,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(sr,[status(thm)],[120147,119933,theory(equality)]) ).

cnf(120157,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[7728,120070,theory(equality)]) ).

cnf(120158,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[120157,theory(equality)]) ).

cnf(120164,negated_conjecture,
    ( $false
    | ~ c3_1(a460) ),
    inference(rw,[status(thm)],[32,120070,theory(equality)]) ).

cnf(120165,negated_conjecture,
    ~ c3_1(a460),
    inference(cn,[status(thm)],[120164,theory(equality)]) ).

cnf(120343,negated_conjecture,
    ( $false
    | ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(rw,[status(thm)],[119477,120070,theory(equality)]) ).

cnf(120344,negated_conjecture,
    ( ~ c0_1(a460)
    | ~ c2_1(a410) ),
    inference(cn,[status(thm)],[120343,theory(equality)]) ).

cnf(121179,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp0 ),
    inference(csr,[status(thm)],[120067,120148]) ).

cnf(121230,negated_conjecture,
    ( c3_1(a460)
    | hskp0
    | ~ c2_1(a410) ),
    inference(spm,[status(thm)],[120344,121179,theory(equality)]) ).

cnf(121233,negated_conjecture,
    ( c3_1(a451)
    | c3_1(a460)
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[120096,121179,theory(equality)]) ).

cnf(121235,negated_conjecture,
    ( hskp0
    | ~ c2_1(a410) ),
    inference(sr,[status(thm)],[121230,120165,theory(equality)]) ).

cnf(121237,negated_conjecture,
    ( c3_1(a451)
    | hskp0
    | ~ hskp22 ),
    inference(sr,[status(thm)],[121233,120165,theory(equality)]) ).

cnf(121337,negated_conjecture,
    ( hskp0
    | hskp22 ),
    inference(spm,[status(thm)],[121235,119464,theory(equality)]) ).

cnf(121794,negated_conjecture,
    ( c3_1(a451)
    | hskp0 ),
    inference(csr,[status(thm)],[121237,121337]) ).

cnf(121798,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[9434,121794,theory(equality)]) ).

cnf(121813,negated_conjecture,
    ( hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[121798,118139]) ).

cnf(121814,negated_conjecture,
    hskp0,
    inference(csr,[status(thm)],[121813,120065]) ).

cnf(121828,negated_conjecture,
    ( ~ c0_1(a400)
    | ~ c2_1(a410)
    | $false ),
    inference(rw,[status(thm)],[119487,121814,theory(equality)]) ).

cnf(121829,negated_conjecture,
    ( ~ c0_1(a400)
    | ~ c2_1(a410) ),
    inference(cn,[status(thm)],[121828,theory(equality)]) ).

cnf(121892,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ c0_1(a400)
    | $false ),
    inference(rw,[status(thm)],[87067,121814,theory(equality)]) ).

cnf(121893,negated_conjecture,
    ( c3_1(a451)
    | ~ hskp22
    | ~ c0_1(a400) ),
    inference(cn,[status(thm)],[121892,theory(equality)]) ).

cnf(121999,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a400)
    | $false ),
    inference(rw,[status(thm)],[1296,121814,theory(equality)]) ).

cnf(122000,negated_conjecture,
    ( hskp24
    | hskp19
    | ~ c0_1(a400) ),
    inference(cn,[status(thm)],[121999,theory(equality)]) ).

cnf(122001,negated_conjecture,
    ( ~ c3_1(a400)
    | $false ),
    inference(rw,[status(thm)],[124,121814,theory(equality)]) ).

cnf(122002,negated_conjecture,
    ~ c3_1(a400),
    inference(cn,[status(thm)],[122001,theory(equality)]) ).

cnf(122003,negated_conjecture,
    ( c2_1(a400)
    | $false ),
    inference(rw,[status(thm)],[125,121814,theory(equality)]) ).

cnf(122004,negated_conjecture,
    c2_1(a400),
    inference(cn,[status(thm)],[122003,theory(equality)]) ).

cnf(122304,negated_conjecture,
    ( c3_1(a400)
    | ~ c2_1(a410)
    | ~ c2_1(a400) ),
    inference(spm,[status(thm)],[121829,120148,theory(equality)]) ).

cnf(122320,negated_conjecture,
    ( c3_1(a400)
    | ~ c2_1(a410)
    | $false ),
    inference(rw,[status(thm)],[122304,122004,theory(equality)]) ).

cnf(122321,negated_conjecture,
    ( c3_1(a400)
    | ~ c2_1(a410) ),
    inference(cn,[status(thm)],[122320,theory(equality)]) ).

cnf(122322,negated_conjecture,
    ~ c2_1(a410),
    inference(sr,[status(thm)],[122321,122002,theory(equality)]) ).

cnf(122333,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[120134,121814,theory(equality)]) ).

cnf(122334,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[122333,theory(equality)]) ).

cnf(122335,negated_conjecture,
    ( c2_1(a402)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | ~ c0_1(a402) ),
    inference(spm,[status(thm)],[115701,122334,theory(equality)]) ).

cnf(122376,negated_conjecture,
    ( c2_1(a402)
    | ~ c0_1(a400)
    | ~ c0_1(a460)
    | $false ),
    inference(rw,[status(thm)],[122335,115703,theory(equality)]) ).

cnf(122377,negated_conjecture,
    ( c2_1(a402)
    | ~ c0_1(a400)
    | ~ c0_1(a460) ),
    inference(cn,[status(thm)],[122376,theory(equality)]) ).

cnf(122378,negated_conjecture,
    ( ~ c0_1(a400)
    | ~ c0_1(a460) ),
    inference(sr,[status(thm)],[122377,115699,theory(equality)]) ).

cnf(122382,negated_conjecture,
    hskp22,
    inference(sr,[status(thm)],[119464,122322,theory(equality)]) ).

cnf(122445,negated_conjecture,
    ( hskp19
    | ~ hskp28
    | $false
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(rw,[status(thm)],[78232,122382,theory(equality)]) ).

cnf(122446,negated_conjecture,
    ( hskp19
    | ~ hskp28
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(cn,[status(thm)],[122445,theory(equality)]) ).

cnf(122469,negated_conjecture,
    ( $false
    | ~ hskp19
    | ~ c3_1(a451) ),
    inference(rw,[status(thm)],[29370,122382,theory(equality)]) ).

cnf(122470,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a451) ),
    inference(cn,[status(thm)],[122469,theory(equality)]) ).

cnf(122474,negated_conjecture,
    ( hskp3
    | $false
    | ~ c3_1(a451) ),
    inference(rw,[status(thm)],[9434,122382,theory(equality)]) ).

cnf(122475,negated_conjecture,
    ( hskp3
    | ~ c3_1(a451) ),
    inference(cn,[status(thm)],[122474,theory(equality)]) ).

cnf(122485,negated_conjecture,
    ( $false
    | ~ c1_1(a451) ),
    inference(rw,[status(thm)],[36,122382,theory(equality)]) ).

cnf(122486,negated_conjecture,
    ~ c1_1(a451),
    inference(cn,[status(thm)],[122485,theory(equality)]) ).

cnf(122489,negated_conjecture,
    ( c2_1(a451)
    | $false ),
    inference(rw,[status(thm)],[37,122382,theory(equality)]) ).

cnf(122490,negated_conjecture,
    c2_1(a451),
    inference(cn,[status(thm)],[122489,theory(equality)]) ).

cnf(122608,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(a410)
    | ~ c0_1(a410) ),
    inference(spm,[status(thm)],[119530,120145,theory(equality)]) ).

cnf(122648,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(a410)
    | $false ),
    inference(rw,[status(thm)],[122608,119532,theory(equality)]) ).

cnf(122649,negated_conjecture,
    ( hskp9
    | c0_1(a460)
    | c3_1(a410) ),
    inference(cn,[status(thm)],[122648,theory(equality)]) ).

cnf(122650,negated_conjecture,
    ( hskp9
    | c0_1(a460) ),
    inference(sr,[status(thm)],[122649,119528,theory(equality)]) ).

cnf(122789,negated_conjecture,
    ( hskp9
    | ~ c0_1(a400) ),
    inference(spm,[status(thm)],[122378,122650,theory(equality)]) ).

cnf(122802,negated_conjecture,
    ( hskp9
    | c3_1(a400)
    | ~ c2_1(a400) ),
    inference(spm,[status(thm)],[122789,120148,theory(equality)]) ).

cnf(122818,negated_conjecture,
    ( hskp9
    | c3_1(a400)
    | $false ),
    inference(rw,[status(thm)],[122802,122004,theory(equality)]) ).

cnf(122819,negated_conjecture,
    ( hskp9
    | c3_1(a400) ),
    inference(cn,[status(thm)],[122818,theory(equality)]) ).

cnf(122820,negated_conjecture,
    hskp9,
    inference(sr,[status(thm)],[122819,122002,theory(equality)]) ).

cnf(122863,negated_conjecture,
    ( hskp28
    | c2_1(a416)
    | ~ hskp10
    | $false ),
    inference(rw,[status(thm)],[47340,122820,theory(equality)]) ).

cnf(122864,negated_conjecture,
    ( hskp28
    | c2_1(a416)
    | ~ hskp10 ),
    inference(cn,[status(thm)],[122863,theory(equality)]) ).

cnf(122882,negated_conjecture,
    ( $false
    | ~ c0_1(a416) ),
    inference(rw,[status(thm)],[89,122820,theory(equality)]) ).

cnf(122883,negated_conjecture,
    ~ c0_1(a416),
    inference(cn,[status(thm)],[122882,theory(equality)]) ).

cnf(122884,negated_conjecture,
    ( $false
    | ~ c1_1(a416) ),
    inference(rw,[status(thm)],[88,122820,theory(equality)]) ).

cnf(122885,negated_conjecture,
    ~ c1_1(a416),
    inference(cn,[status(thm)],[122884,theory(equality)]) ).

cnf(122886,negated_conjecture,
    ( c3_1(a416)
    | $false ),
    inference(rw,[status(thm)],[90,122820,theory(equality)]) ).

cnf(122887,negated_conjecture,
    c3_1(a416),
    inference(cn,[status(thm)],[122886,theory(equality)]) ).

cnf(123052,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X2)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[120158,120148]) ).

cnf(123401,negated_conjecture,
    ( hskp24
    | hskp19
    | c3_1(a400)
    | ~ c2_1(a400) ),
    inference(spm,[status(thm)],[122000,120148,theory(equality)]) ).

cnf(123413,negated_conjecture,
    ( hskp24
    | hskp19
    | c3_1(a400)
    | $false ),
    inference(rw,[status(thm)],[123401,122004,theory(equality)]) ).

cnf(123414,negated_conjecture,
    ( hskp24
    | hskp19
    | c3_1(a400) ),
    inference(cn,[status(thm)],[123413,theory(equality)]) ).

cnf(123415,negated_conjecture,
    ( hskp24
    | hskp19 ),
    inference(sr,[status(thm)],[123414,122002,theory(equality)]) ).

cnf(123458,negated_conjecture,
    ( hskp10
    | hskp24 ),
    inference(spm,[status(thm)],[115535,123415,theory(equality)]) ).

cnf(123463,negated_conjecture,
    hskp10,
    inference(csr,[status(thm)],[123458,112590]) ).

cnf(123501,negated_conjecture,
    ( $false
    | ~ c0_1(a418) ),
    inference(rw,[status(thm)],[85,123463,theory(equality)]) ).

cnf(123502,negated_conjecture,
    ~ c0_1(a418),
    inference(cn,[status(thm)],[123501,theory(equality)]) ).

cnf(123733,negated_conjecture,
    ( hskp28
    | c2_1(a416)
    | $false ),
    inference(rw,[status(thm)],[122864,123463,theory(equality)]) ).

cnf(123734,negated_conjecture,
    ( hskp28
    | c2_1(a416) ),
    inference(cn,[status(thm)],[123733,theory(equality)]) ).

cnf(123739,negated_conjecture,
    ( c0_1(X1)
    | c0_1(a416)
    | c3_1(X1)
    | c1_1(a416)
    | hskp28 ),
    inference(spm,[status(thm)],[123052,123734,theory(equality)]) ).

cnf(123749,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(a416)
    | hskp28 ),
    inference(sr,[status(thm)],[123739,122883,theory(equality)]) ).

cnf(123750,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | hskp28 ),
    inference(sr,[status(thm)],[123749,122885,theory(equality)]) ).

cnf(123769,negated_conjecture,
    ( c3_1(a451)
    | $false
    | ~ c0_1(a400) ),
    inference(rw,[status(thm)],[121893,122382,theory(equality)]) ).

cnf(123770,negated_conjecture,
    ( c3_1(a451)
    | ~ c0_1(a400) ),
    inference(cn,[status(thm)],[123769,theory(equality)]) ).

cnf(123775,negated_conjecture,
    ( c3_1(a451)
    | c3_1(a400)
    | ~ c2_1(a400) ),
    inference(spm,[status(thm)],[123770,120148,theory(equality)]) ).

cnf(123786,negated_conjecture,
    ( c3_1(a451)
    | c3_1(a400)
    | $false ),
    inference(rw,[status(thm)],[123775,122004,theory(equality)]) ).

cnf(123787,negated_conjecture,
    ( c3_1(a451)
    | c3_1(a400) ),
    inference(cn,[status(thm)],[123786,theory(equality)]) ).

cnf(123788,negated_conjecture,
    c3_1(a451),
    inference(sr,[status(thm)],[123787,122002,theory(equality)]) ).

cnf(123795,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(a451)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a451) ),
    inference(spm,[status(thm)],[119521,123788,theory(equality)]) ).

cnf(123806,negated_conjecture,
    ( hskp3
    | $false ),
    inference(rw,[status(thm)],[122475,123788,theory(equality)]) ).

cnf(123807,negated_conjecture,
    hskp3,
    inference(cn,[status(thm)],[123806,theory(equality)]) ).

cnf(123808,negated_conjecture,
    ( ~ hskp19
    | $false ),
    inference(rw,[status(thm)],[122470,123788,theory(equality)]) ).

cnf(123809,negated_conjecture,
    ~ hskp19,
    inference(cn,[status(thm)],[123808,theory(equality)]) ).

cnf(123831,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(a451)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[123795,122490,theory(equality)]) ).

cnf(123832,negated_conjecture,
    ( c2_1(a410)
    | c2_1(X1)
    | c1_1(a451)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[123831,theory(equality)]) ).

cnf(123833,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a451)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(sr,[status(thm)],[123832,122322,theory(equality)]) ).

cnf(123834,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(sr,[status(thm)],[123833,122486,theory(equality)]) ).

cnf(123867,negated_conjecture,
    ( $false
    | ~ c0_1(a403) ),
    inference(rw,[status(thm)],[114,123807,theory(equality)]) ).

cnf(123868,negated_conjecture,
    ~ c0_1(a403),
    inference(cn,[status(thm)],[123867,theory(equality)]) ).

cnf(123869,negated_conjecture,
    ( $false
    | ~ c3_1(a403) ),
    inference(rw,[status(thm)],[112,123807,theory(equality)]) ).

cnf(123870,negated_conjecture,
    ~ c3_1(a403),
    inference(cn,[status(thm)],[123869,theory(equality)]) ).

cnf(123988,negated_conjecture,
    ( hskp28
    | c3_1(a403) ),
    inference(spm,[status(thm)],[123868,123750,theory(equality)]) ).

cnf(124011,negated_conjecture,
    hskp28,
    inference(sr,[status(thm)],[123988,123870,theory(equality)]) ).

cnf(124095,negated_conjecture,
    ( c2_1(a416)
    | ~ c3_1(a416) ),
    inference(spm,[status(thm)],[122885,123834,theory(equality)]) ).

cnf(124121,negated_conjecture,
    ( c2_1(a416)
    | $false ),
    inference(rw,[status(thm)],[124095,122887,theory(equality)]) ).

cnf(124122,negated_conjecture,
    c2_1(a416),
    inference(cn,[status(thm)],[124121,theory(equality)]) ).

cnf(124129,negated_conjecture,
    ( c0_1(X1)
    | c0_1(a416)
    | c3_1(X1)
    | c1_1(a416) ),
    inference(spm,[status(thm)],[123052,124122,theory(equality)]) ).

cnf(124142,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c1_1(a416) ),
    inference(sr,[status(thm)],[124129,122883,theory(equality)]) ).

cnf(124143,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1) ),
    inference(sr,[status(thm)],[124142,122885,theory(equality)]) ).

cnf(124144,negated_conjecture,
    ( hskp19
    | $false
    | ~ hskp10
    | ~ c3_1(a418) ),
    inference(rw,[status(thm)],[122446,124011,theory(equality)]) ).

cnf(124145,negated_conjecture,
    ( hskp19
    | $false
    | $false
    | ~ c3_1(a418) ),
    inference(rw,[status(thm)],[124144,123463,theory(equality)]) ).

cnf(124146,negated_conjecture,
    ( hskp19
    | ~ c3_1(a418) ),
    inference(cn,[status(thm)],[124145,theory(equality)]) ).

cnf(124147,negated_conjecture,
    ~ c3_1(a418),
    inference(sr,[status(thm)],[124146,123809,theory(equality)]) ).

cnf(124160,negated_conjecture,
    c3_1(a418),
    inference(spm,[status(thm)],[123502,124143,theory(equality)]) ).

cnf(124183,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[124160,124147,theory(equality)]) ).

cnf(124184,negated_conjecture,
    $false,
    124183,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
%   from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN469+1.p
% --creating new selector for []
% -running prover on /tmp/tmpjVdaT2/sel_SYN469+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN469+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN469+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN469+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
% 
%------------------------------------------------------------------------------