TSTP Solution File: SYN465+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN465+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art02.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sun Dec 26 13:38:27 EST 2010

% Result   : Theorem 12.36s
% Output   : CNFRefutation 12.36s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 1749

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1)
          & ~ c1_1(a1)
          & ~ c2_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a4)
          & c2_1(a4)
          & ~ c1_1(a4) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a5)
          & ~ c0_1(a5)
          & ~ c1_1(a5) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a6)
          & c3_1(a6)
          & ~ c2_1(a6) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a7)
          & c3_1(a7)
          & ~ c0_1(a7) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a9)
          & ~ c1_1(a9)
          & ~ c2_1(a9) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a10)
          & ~ c1_1(a10)
          & ~ c3_1(a10) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a12)
          & c1_1(a12)
          & ~ c3_1(a12) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a13)
          & c2_1(a13)
          & ~ c0_1(a13) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a17)
          & ~ c0_1(a17)
          & ~ c2_1(a17) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a21)
          & ~ c2_1(a21)
          & ~ c3_1(a21) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a24)
          & c3_1(a24)
          & ~ c2_1(a24) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a26)
          & ~ c0_1(a26)
          & ~ c1_1(a26) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a28)
          & c3_1(a28)
          & ~ c0_1(a28) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a29)
          & ~ c2_1(a29)
          & ~ c3_1(a29) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a30)
          & c3_1(a30)
          & ~ c1_1(a30) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a32)
          & c2_1(a32)
          & ~ c3_1(a32) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a33)
          & c2_1(a33)
          & ~ c3_1(a33) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a35)
          & ~ c0_1(a35)
          & ~ c3_1(a35) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a36)
          & c1_1(a36)
          & ~ c2_1(a36) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a39)
          & ~ c0_1(a39)
          & ~ c3_1(a39) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a40)
          & ~ c2_1(a40)
          & ~ c3_1(a40) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a42)
          & ~ c1_1(a42)
          & ~ c3_1(a42) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a52)
          & ~ c0_1(a52)
          & ~ c2_1(a52) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a54)
          & c3_1(a54)
          & ~ c1_1(a54) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a57)
          & ~ c1_1(a57)
          & ~ c3_1(a57) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c3_1(a65)
          & ~ c1_1(a65)
          & ~ c2_1(a65) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2)
          & c1_1(a2)
          & c2_1(a2) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a8)
          & c2_1(a8)
          & c3_1(a8) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a20)
          & c2_1(a20)
          & c3_1(a20) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a76)
          & c1_1(a76)
          & c3_1(a76) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | ~ c2_1(X2)
              | ~ c3_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | ~ c1_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c1_1(X5)
              | ~ c0_1(X5)
              | ~ c2_1(X5) ) )
        | hskp0 )
      & ( ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c1_1(X6)
              | c2_1(X6) ) )
        | hskp28
        | hskp0 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c2_1(X8)
              | ~ c3_1(X8) ) )
        | hskp1 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | c3_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | c3_1(X10)
              | ~ c1_1(X10) ) )
        | hskp2 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c2_1(X12)
              | ~ c1_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c3_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | ~ c0_1(X15)
              | ~ c1_1(X15) ) )
        | hskp3 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c2_1(X16)
              | c3_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c2_1(X17)
              | ~ c3_1(X17) ) )
        | hskp4 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c0_1(X18)
              | c2_1(X18)
              | c3_1(X18) ) )
        | hskp29
        | hskp5 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | ~ c1_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c3_1(X20)
              | ~ c1_1(X20) ) )
        | hskp6 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | ~ c0_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | ~ c1_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | ~ c1_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c0_1(X25)
              | ~ c2_1(X25)
              | ~ c3_1(X25) ) )
        | hskp28 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | ~ c1_1(X26) ) )
        | hskp7
        | hskp8 )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c1_1(X27) ) )
        | hskp0
        | hskp9 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | ~ c3_1(X28) ) )
        | ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | ~ c1_1(X29)
              | ~ c2_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | ~ c2_1(X30)
              | ~ c3_1(X30) ) ) )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | c3_1(X32)
              | ~ c0_1(X32) ) )
        | hskp7 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c3_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | ~ c0_1(X34) ) )
        | hskp10 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c3_1(X36)
              | ~ c0_1(X36)
              | ~ c1_1(X36) ) )
        | hskp5 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c3_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c1_1(X38)
              | ~ c3_1(X38) ) )
        | hskp5 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c3_1(X39) ) )
        | hskp30
        | hskp11 )
      & ( ! [X40] :
            ( ndr1_0
           => ( c0_1(X40)
              | c3_1(X40)
              | ~ c1_1(X40) ) )
        | hskp30
        | hskp8 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c3_1(X41)
              | ~ c1_1(X41) ) )
        | hskp12 )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | ~ c2_1(X43)
              | ~ c3_1(X43) ) )
        | hskp8 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c2_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c2_1(X45)
              | c3_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c0_1(X46)
              | ~ c1_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c2_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( c2_1(X48)
              | c3_1(X48)
              | ~ c1_1(X48) ) )
        | hskp13 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c2_1(X49) ) )
        | hskp3
        | hskp14 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | hskp15
        | hskp16 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | ~ c1_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | ~ c1_1(X52)
              | ~ c3_1(X52) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c1_1(X53)
              | c3_1(X53)
              | ~ c0_1(X53) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | ~ c1_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c3_1(X55)
              | ~ c0_1(X55)
              | ~ c1_1(X55) ) )
        | hskp30 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | hskp17
        | hskp18 )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | ~ c1_1(X57)
              | ~ c3_1(X57) ) )
        | hskp11
        | hskp19 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c2_1(X58)
              | ~ c3_1(X58) ) )
        | hskp20
        | hskp4 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | c2_1(X59)
              | c3_1(X59) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c1_1(X60)
              | ~ c0_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | ~ c2_1(X61)
              | ~ c3_1(X61) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c1_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | hskp8 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c1_1(X64)
              | c2_1(X64)
              | c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c0_1(X65)
              | ~ c1_1(X65) ) )
        | hskp21 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c1_1(X67)
              | ~ c3_1(X67) ) )
        | hskp22 )
      & ( ! [X68] :
            ( ndr1_0
           => ( c1_1(X68)
              | c2_1(X68)
              | ~ c0_1(X68) ) )
        | hskp30
        | hskp23 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp17
        | hskp6 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | ~ c0_1(X71)
              | ~ c3_1(X71) ) )
        | hskp2 )
      & ( ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c2_1(X73)
              | c3_1(X73)
              | ~ c1_1(X73) ) )
        | hskp9 )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c3_1(X74)
              | ~ c2_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c1_1(X75)
              | ~ c2_1(X75)
              | ~ c3_1(X75) ) )
        | hskp3 )
      & ( ! [X76] :
            ( ndr1_0
           => ( c1_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | ~ c1_1(X77)
              | ~ c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | ~ c2_1(X78)
              | ~ c3_1(X78) ) ) )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | ~ c0_1(X79)
              | ~ c3_1(X79) ) )
        | hskp8
        | hskp21 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | ~ c2_1(X80)
              | ~ c3_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c2_1(X81)
              | ~ c0_1(X81)
              | ~ c1_1(X81) ) )
        | hskp15 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c2_1(X82)
              | c3_1(X82)
              | ~ c0_1(X82) ) )
        | hskp3
        | hskp24 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c2_1(X83)
              | c3_1(X83)
              | ~ c1_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c2_1(X84)
              | ~ c3_1(X84) ) )
        | hskp12 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c2_1(X85)
              | c3_1(X85)
              | ~ c1_1(X85) ) )
        | hskp25
        | hskp3 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c2_1(X86)
              | ~ c0_1(X86)
              | ~ c1_1(X86) ) )
        | hskp28
        | hskp26 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c2_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c1_1(X88)
              | ~ c2_1(X88) ) )
        | hskp17 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c2_1(X89)
              | ~ c1_1(X89)
              | ~ c3_1(X89) ) )
        | hskp28
        | hskp7 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c2_1(X90)
              | ~ c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp16 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) )
        | hskp28
        | hskp9 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | ~ c1_1(X92)
              | ~ c2_1(X92) ) )
        | hskp18
        | hskp27 )
      & ( ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | ~ c1_1(X93)
              | ~ c3_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) )
        | hskp21 )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | ~ c1_1(X95)
              | ~ c3_1(X95) ) )
        | hskp0
        | hskp2 )
      & ( ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | ~ c1_1(X96)
              | ~ c3_1(X96) ) )
        | hskp29
        | hskp19 )
      & ( ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | ~ c1_1(X97)
              | ~ c3_1(X97) ) )
        | hskp12
        | hskp26 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c0_1(X98)
              | ~ c1_1(X98)
              | ~ c3_1(X98) ) )
        | hskp14
        | hskp24 )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c0_1(X99)
              | ~ c2_1(X99)
              | ~ c3_1(X99) ) )
        | hskp28
        | hskp31 )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | ~ c2_1(X100)
              | ~ c3_1(X100) ) )
        | hskp15
        | hskp13 )
      & ( ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c2_1(X101)
              | ~ c3_1(X101) ) )
        | hskp25
        | hskp9 )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c2_1(X102)
              | ~ c3_1(X102) ) )
        | hskp12
        | hskp2 )
      & ( hskp31
        | hskp12
        | hskp24 )
      & ( hskp7
        | hskp30
        | hskp26 )
      & ( hskp3
        | hskp2
        | hskp13 )
      & ( hskp3
        | hskp27
        | hskp26 )
      & ( hskp12
        | hskp6
        | hskp27 )
      & ( hskp21
        | hskp24
        | hskp5 ) ),
    file('/tmp/tmpUALOwb/sel_SYN465+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1)
            & ~ c1_1(a1)
            & ~ c2_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a4)
            & c2_1(a4)
            & ~ c1_1(a4) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a5)
            & ~ c0_1(a5)
            & ~ c1_1(a5) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a6)
            & c3_1(a6)
            & ~ c2_1(a6) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a7)
            & c3_1(a7)
            & ~ c0_1(a7) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a9)
            & ~ c1_1(a9)
            & ~ c2_1(a9) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a10)
            & ~ c1_1(a10)
            & ~ c3_1(a10) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a12)
            & c1_1(a12)
            & ~ c3_1(a12) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a13)
            & c2_1(a13)
            & ~ c0_1(a13) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a17)
            & ~ c0_1(a17)
            & ~ c2_1(a17) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a21)
            & ~ c2_1(a21)
            & ~ c3_1(a21) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a24)
            & c3_1(a24)
            & ~ c2_1(a24) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a26)
            & ~ c0_1(a26)
            & ~ c1_1(a26) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a28)
            & c3_1(a28)
            & ~ c0_1(a28) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a29)
            & ~ c2_1(a29)
            & ~ c3_1(a29) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a30)
            & c3_1(a30)
            & ~ c1_1(a30) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a32)
            & c2_1(a32)
            & ~ c3_1(a32) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a33)
            & c2_1(a33)
            & ~ c3_1(a33) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a35)
            & ~ c0_1(a35)
            & ~ c3_1(a35) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a36)
            & c1_1(a36)
            & ~ c2_1(a36) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a39)
            & ~ c0_1(a39)
            & ~ c3_1(a39) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a40)
            & ~ c2_1(a40)
            & ~ c3_1(a40) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a42)
            & ~ c1_1(a42)
            & ~ c3_1(a42) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a52)
            & ~ c0_1(a52)
            & ~ c2_1(a52) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a54)
            & c3_1(a54)
            & ~ c1_1(a54) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a57)
            & ~ c1_1(a57)
            & ~ c3_1(a57) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c3_1(a65)
            & ~ c1_1(a65)
            & ~ c2_1(a65) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2)
            & c1_1(a2)
            & c2_1(a2) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a8)
            & c2_1(a8)
            & c3_1(a8) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a20)
            & c2_1(a20)
            & c3_1(a20) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a76)
            & c1_1(a76)
            & c3_1(a76) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c0_1(X5)
                | ~ c2_1(X5) ) )
          | hskp0 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp28
          | hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c3_1(X8) ) )
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) )
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c3_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp3 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | hskp29
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | ~ c1_1(X20) ) )
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | ~ c0_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp28 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | hskp7
          | hskp8 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | hskp0
          | hskp9 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c2_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) )
          | hskp10 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp5 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp5 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp30
          | hskp11 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | hskp30
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp12 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp8 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | hskp13 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp3
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp15
          | hskp16 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | ~ c1_1(X55) ) )
          | hskp30 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp17
          | hskp18 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp11
          | hskp19 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp20
          | hskp4 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp8 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) )
          | hskp21 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c1_1(X67)
                | ~ c3_1(X67) ) )
          | hskp22 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp30
          | hskp23 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17
          | hskp6 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp2 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp9 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp3 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp8
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp15 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | hskp3
          | hskp24 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c1_1(X85) ) )
          | hskp25
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp28
          | hskp26 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp17 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp28
          | hskp7 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp28
          | hskp9 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) )
          | hskp18
          | hskp27 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp21 )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp0
          | hskp2 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | ~ c3_1(X96) ) )
          | hskp29
          | hskp19 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c3_1(X97) ) )
          | hskp12
          | hskp26 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp14
          | hskp24 )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp28
          | hskp31 )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp15
          | hskp13 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp25
          | hskp9 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp12
          | hskp2 )
        & ( hskp31
          | hskp12
          | hskp24 )
        & ( hskp7
          | hskp30
          | hskp26 )
        & ( hskp3
          | hskp2
          | hskp13 )
        & ( hskp3
          | hskp27
          | hskp26 )
        & ( hskp12
          | hskp6
          | hskp27 )
        & ( hskp21
          | hskp24
          | hskp5 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1)
            & ~ c1_1(a1)
            & ~ c2_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c0_1(a4)
            & c2_1(a4)
            & ~ c1_1(a4) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c2_1(a5)
            & ~ c0_1(a5)
            & ~ c1_1(a5) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a6)
            & c3_1(a6)
            & ~ c2_1(a6) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a7)
            & c3_1(a7)
            & ~ c0_1(a7) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c0_1(a9)
            & ~ c1_1(a9)
            & ~ c2_1(a9) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c2_1(a10)
            & ~ c1_1(a10)
            & ~ c3_1(a10) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c0_1(a12)
            & c1_1(a12)
            & ~ c3_1(a12) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c1_1(a13)
            & c2_1(a13)
            & ~ c0_1(a13) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c1_1(a17)
            & ~ c0_1(a17)
            & ~ c2_1(a17) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c0_1(a21)
            & ~ c2_1(a21)
            & ~ c3_1(a21) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a24)
            & c3_1(a24)
            & ~ c2_1(a24) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a26)
            & ~ c0_1(a26)
            & ~ c1_1(a26) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a28)
            & c3_1(a28)
            & ~ c0_1(a28) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c1_1(a29)
            & ~ c2_1(a29)
            & ~ c3_1(a29) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c2_1(a30)
            & c3_1(a30)
            & ~ c1_1(a30) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c0_1(a32)
            & c2_1(a32)
            & ~ c3_1(a32) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a33)
            & c2_1(a33)
            & ~ c3_1(a33) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c1_1(a35)
            & ~ c0_1(a35)
            & ~ c3_1(a35) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c0_1(a36)
            & c1_1(a36)
            & ~ c2_1(a36) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a39)
            & ~ c0_1(a39)
            & ~ c3_1(a39) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a40)
            & ~ c2_1(a40)
            & ~ c3_1(a40) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a42)
            & ~ c1_1(a42)
            & ~ c3_1(a42) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c3_1(a52)
            & ~ c0_1(a52)
            & ~ c2_1(a52) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a54)
            & c3_1(a54)
            & ~ c1_1(a54) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & ~ c0_1(a57)
            & ~ c1_1(a57)
            & ~ c3_1(a57) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c3_1(a65)
            & ~ c1_1(a65)
            & ~ c2_1(a65) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a2)
            & c1_1(a2)
            & c2_1(a2) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a8)
            & c2_1(a8)
            & c3_1(a8) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a20)
            & c2_1(a20)
            & c3_1(a20) ) )
        & ( ~ hskp31
          | ( ndr1_0
            & c0_1(a76)
            & c1_1(a76)
            & c3_1(a76) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | ~ c2_1(X2)
                | ~ c3_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | ~ c1_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c1_1(X5)
                | ~ c0_1(X5)
                | ~ c2_1(X5) ) )
          | hskp0 )
        & ( ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c1_1(X6)
                | c2_1(X6) ) )
          | hskp28
          | hskp0 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c2_1(X8)
                | ~ c3_1(X8) ) )
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | c3_1(X10)
                | ~ c1_1(X10) ) )
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c2_1(X12)
                | ~ c1_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c3_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | ~ c0_1(X15)
                | ~ c1_1(X15) ) )
          | hskp3 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c2_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c2_1(X17)
                | ~ c3_1(X17) ) )
          | hskp4 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | c2_1(X18)
                | c3_1(X18) ) )
          | hskp29
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | ~ c1_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | ~ c1_1(X20) ) )
          | hskp6 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | ~ c0_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | ~ c1_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | ~ c1_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c2_1(X25)
                | ~ c3_1(X25) ) )
          | hskp28 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | ~ c1_1(X26) ) )
          | hskp7
          | hskp8 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | hskp0
          | hskp9 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | ~ c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | ~ c1_1(X29)
                | ~ c2_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | ~ c2_1(X30)
                | ~ c3_1(X30) ) ) )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp7 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c3_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c0_1(X34) ) )
          | hskp10 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c3_1(X36)
                | ~ c0_1(X36)
                | ~ c1_1(X36) ) )
          | hskp5 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp5 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c3_1(X39) ) )
          | hskp30
          | hskp11 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c1_1(X40) ) )
          | hskp30
          | hskp8 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c3_1(X41)
                | ~ c1_1(X41) ) )
          | hskp12 )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | ~ c2_1(X43)
                | ~ c3_1(X43) ) )
          | hskp8 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c2_1(X45)
                | c3_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c1_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c2_1(X48)
                | c3_1(X48)
                | ~ c1_1(X48) ) )
          | hskp13 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c2_1(X49) ) )
          | hskp3
          | hskp14 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | hskp15
          | hskp16 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | ~ c1_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c1_1(X53)
                | c3_1(X53)
                | ~ c0_1(X53) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | ~ c1_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c3_1(X55)
                | ~ c0_1(X55)
                | ~ c1_1(X55) ) )
          | hskp30 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | hskp17
          | hskp18 )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | ~ c1_1(X57)
                | ~ c3_1(X57) ) )
          | hskp11
          | hskp19 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c2_1(X58)
                | ~ c3_1(X58) ) )
          | hskp20
          | hskp4 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | c2_1(X59)
                | c3_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | ~ c2_1(X61)
                | ~ c3_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c1_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | hskp8 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c2_1(X64)
                | c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) )
          | hskp21 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c1_1(X67)
                | ~ c3_1(X67) ) )
          | hskp22 )
        & ( ! [X68] :
              ( ndr1_0
             => ( c1_1(X68)
                | c2_1(X68)
                | ~ c0_1(X68) ) )
          | hskp30
          | hskp23 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp17
          | hskp6 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | ~ c0_1(X71)
                | ~ c3_1(X71) ) )
          | hskp2 )
        & ( ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c2_1(X73)
                | c3_1(X73)
                | ~ c1_1(X73) ) )
          | hskp9 )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c3_1(X74)
                | ~ c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | ~ c2_1(X75)
                | ~ c3_1(X75) ) )
          | hskp3 )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | ~ c1_1(X77)
                | ~ c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c2_1(X78)
                | ~ c3_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c0_1(X79)
                | ~ c3_1(X79) ) )
          | hskp8
          | hskp21 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | ~ c2_1(X80)
                | ~ c3_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | ~ c0_1(X81)
                | ~ c1_1(X81) ) )
          | hskp15 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c3_1(X82)
                | ~ c0_1(X82) ) )
          | hskp3
          | hskp24 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c2_1(X83)
                | c3_1(X83)
                | ~ c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c2_1(X84)
                | ~ c3_1(X84) ) )
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c2_1(X85)
                | c3_1(X85)
                | ~ c1_1(X85) ) )
          | hskp25
          | hskp3 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c2_1(X86)
                | ~ c0_1(X86)
                | ~ c1_1(X86) ) )
          | hskp28
          | hskp26 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c2_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c1_1(X88)
                | ~ c2_1(X88) ) )
          | hskp17 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | ~ c1_1(X89)
                | ~ c3_1(X89) ) )
          | hskp28
          | hskp7 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | ~ c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp16 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) )
          | hskp28
          | hskp9 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | ~ c1_1(X92)
                | ~ c2_1(X92) ) )
          | hskp18
          | hskp27 )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | ~ c1_1(X93)
                | ~ c3_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) )
          | hskp21 )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | ~ c1_1(X95)
                | ~ c3_1(X95) ) )
          | hskp0
          | hskp2 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c1_1(X96)
                | ~ c3_1(X96) ) )
          | hskp29
          | hskp19 )
        & ( ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | ~ c1_1(X97)
                | ~ c3_1(X97) ) )
          | hskp12
          | hskp26 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c1_1(X98)
                | ~ c3_1(X98) ) )
          | hskp14
          | hskp24 )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | ~ c2_1(X99)
                | ~ c3_1(X99) ) )
          | hskp28
          | hskp31 )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | ~ c2_1(X100)
                | ~ c3_1(X100) ) )
          | hskp15
          | hskp13 )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c2_1(X101)
                | ~ c3_1(X101) ) )
          | hskp25
          | hskp9 )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c2_1(X102)
                | ~ c3_1(X102) ) )
          | hskp12
          | hskp2 )
        & ( hskp31
          | hskp12
          | hskp24 )
        & ( hskp7
          | hskp30
          | hskp26 )
        & ( hskp3
          | hskp2
          | hskp13 )
        & ( hskp3
          | hskp27
          | hskp26 )
        & ( hskp12
          | hskp6
          | hskp27 )
        & ( hskp21
          | hskp24
          | hskp5 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1)
        & ~ c1_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a4)
        & c2_1(a4)
        & ~ c1_1(a4) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a5)
        & ~ c0_1(a5)
        & ~ c1_1(a5) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a9)
        & ~ c1_1(a9)
        & ~ c2_1(a9) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a10)
        & ~ c1_1(a10)
        & ~ c3_1(a10) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & ~ c3_1(a12) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a13)
        & c2_1(a13)
        & ~ c0_1(a13) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a17)
        & ~ c0_1(a17)
        & ~ c2_1(a17) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a21)
        & ~ c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a24)
        & c3_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a26)
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a28)
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a29)
        & ~ c2_1(a29)
        & ~ c3_1(a29) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a30)
        & c3_1(a30)
        & ~ c1_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a32)
        & c2_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c0_1(a35)
        & ~ c3_1(a35) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a36)
        & c1_1(a36)
        & ~ c2_1(a36) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a39)
        & ~ c0_1(a39)
        & ~ c3_1(a39) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a42)
        & ~ c1_1(a42)
        & ~ c3_1(a42) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a52)
        & ~ c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a54)
        & c3_1(a54)
        & ~ c1_1(a54) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a57)
        & ~ c1_1(a57)
        & ~ c3_1(a57) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c3_1(a65)
        & ~ c1_1(a65)
        & ~ c2_1(a65) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2)
        & c1_1(a2)
        & c2_1(a2) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a8)
        & c2_1(a8)
        & c3_1(a8) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a20)
        & c2_1(a20)
        & c3_1(a20) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a76)
        & c1_1(a76)
        & c3_1(a76) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c0_1(X2)
          | ~ c2_1(X2)
          | ~ c3_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | ~ c1_1(X3)
          | ~ c3_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c2_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c1_1(X5)
          | ~ c0_1(X5)
          | ~ c2_1(X5) )
      | hskp0 )
    & ( ! [X6] :
          ( ~ ndr1_0
          | c0_1(X6)
          | c1_1(X6)
          | c2_1(X6) )
      | hskp28
      | hskp0 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | c3_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c2_1(X8)
          | ~ c3_1(X8) )
      | hskp1 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | c0_1(X9)
          | c1_1(X9)
          | c3_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c2_1(X10)
          | c3_1(X10)
          | ~ c1_1(X10) )
      | hskp2 )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | c0_1(X12)
          | c2_1(X12)
          | ~ c1_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | c3_1(X13)
          | ~ c2_1(X13) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | c2_1(X15)
          | ~ c0_1(X15)
          | ~ c1_1(X15) )
      | hskp3 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | c0_1(X16)
          | c2_1(X16)
          | c3_1(X16) )
      | ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c2_1(X17)
          | ~ c3_1(X17) )
      | hskp4 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | c0_1(X18)
          | c2_1(X18)
          | c3_1(X18) )
      | hskp29
      | hskp5 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c2_1(X19)
          | ~ c1_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | c3_1(X20)
          | ~ c1_1(X20) )
      | hskp6 )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c2_1(X21)
          | ~ c1_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | c3_1(X22)
          | ~ c0_1(X22)
          | ~ c1_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | ~ c0_1(X23)
          | ~ c1_1(X23)
          | ~ c3_1(X23) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c0_1(X24)
          | c2_1(X24)
          | ~ c1_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | ~ c0_1(X25)
          | ~ c2_1(X25)
          | ~ c3_1(X25) )
      | hskp28 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c2_1(X26)
          | ~ c1_1(X26) )
      | hskp7
      | hskp8 )
    & ( ! [X27] :
          ( ~ ndr1_0
          | c0_1(X27)
          | c2_1(X27)
          | ~ c1_1(X27) )
      | hskp0
      | hskp9 )
    & ( ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | c2_1(X28)
          | ~ c3_1(X28) )
      | ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | ~ c1_1(X29)
          | ~ c2_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c1_1(X30)
          | ~ c2_1(X30)
          | ~ c3_1(X30) ) )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c2_1(X31)
          | ~ c3_1(X31) )
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32) )
      | hskp7 )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c2_1(X33)
          | ~ c3_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c3_1(X34)
          | ~ c0_1(X34) )
      | hskp10 )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c2_1(X35)
          | ~ c3_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | c3_1(X36)
          | ~ c0_1(X36)
          | ~ c1_1(X36) )
      | hskp5 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38) )
      | hskp5 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | c2_1(X39)
          | ~ c3_1(X39) )
      | hskp30
      | hskp11 )
    & ( ! [X40] :
          ( ~ ndr1_0
          | c0_1(X40)
          | c3_1(X40)
          | ~ c1_1(X40) )
      | hskp30
      | hskp8 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | c3_1(X41)
          | ~ c1_1(X41) )
      | hskp12 )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c3_1(X42)
          | ~ c2_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | c1_1(X43)
          | ~ c2_1(X43)
          | ~ c3_1(X43) )
      | hskp8 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c3_1(X44)
          | ~ c2_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c2_1(X45)
          | c3_1(X45)
          | ~ c0_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | c3_1(X47)
          | ~ c2_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | c2_1(X48)
          | c3_1(X48)
          | ~ c1_1(X48) )
      | hskp13 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | c3_1(X49)
          | ~ c2_1(X49) )
      | hskp3
      | hskp14 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50) )
      | hskp15
      | hskp16 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | ~ c1_1(X51)
          | ~ c2_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52) )
      | ! [X53] :
          ( ~ ndr1_0
          | c1_1(X53)
          | c3_1(X53)
          | ~ c0_1(X53) ) )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | ~ c1_1(X54)
          | ~ c2_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c3_1(X55)
          | ~ c0_1(X55)
          | ~ c1_1(X55) )
      | hskp30 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56) )
      | hskp17
      | hskp18 )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c0_1(X57)
          | ~ c1_1(X57)
          | ~ c3_1(X57) )
      | hskp11
      | hskp19 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c0_1(X58)
          | ~ c2_1(X58)
          | ~ c3_1(X58) )
      | hskp20
      | hskp4 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | c2_1(X59)
          | c3_1(X59) )
      | ! [X60] :
          ( ~ ndr1_0
          | c1_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60) )
      | ! [X61] :
          ( ~ ndr1_0
          | ~ c0_1(X61)
          | ~ c2_1(X61)
          | ~ c3_1(X61) ) )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | c2_1(X62)
          | c3_1(X62) )
      | ! [X63] :
          ( ~ ndr1_0
          | c1_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63) )
      | hskp8 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c1_1(X64)
          | c2_1(X64)
          | c3_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c3_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65) )
      | hskp21 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c1_1(X66)
          | c2_1(X66)
          | ~ c0_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c1_1(X67)
          | ~ c3_1(X67) )
      | hskp22 )
    & ( ! [X68] :
          ( ~ ndr1_0
          | c1_1(X68)
          | c2_1(X68)
          | ~ c0_1(X68) )
      | hskp30
      | hskp23 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c1_1(X69)
          | c2_1(X69)
          | ~ c3_1(X69) )
      | hskp17
      | hskp6 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70) )
      | ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | ~ c0_1(X71)
          | ~ c3_1(X71) )
      | hskp2 )
    & ( ! [X72] :
          ( ~ ndr1_0
          | c1_1(X72)
          | c3_1(X72)
          | ~ c2_1(X72) )
      | ! [X73] :
          ( ~ ndr1_0
          | c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73) )
      | hskp9 )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | c3_1(X74)
          | ~ c2_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | ~ c1_1(X75)
          | ~ c2_1(X75)
          | ~ c3_1(X75) )
      | hskp3 )
    & ( ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76) )
      | ! [X77] :
          ( ~ ndr1_0
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ c3_1(X77) )
      | ! [X78] :
          ( ~ ndr1_0
          | ~ c0_1(X78)
          | ~ c2_1(X78)
          | ~ c3_1(X78) ) )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c0_1(X79)
          | ~ c3_1(X79) )
      | hskp8
      | hskp21 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | ~ c2_1(X80)
          | ~ c3_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c2_1(X81)
          | ~ c0_1(X81)
          | ~ c1_1(X81) )
      | hskp15 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c2_1(X82)
          | c3_1(X82)
          | ~ c0_1(X82) )
      | hskp3
      | hskp24 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c2_1(X83)
          | c3_1(X83)
          | ~ c1_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c2_1(X84)
          | ~ c3_1(X84) )
      | hskp12 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c2_1(X85)
          | c3_1(X85)
          | ~ c1_1(X85) )
      | hskp25
      | hskp3 )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c2_1(X86)
          | ~ c0_1(X86)
          | ~ c1_1(X86) )
      | hskp28
      | hskp26 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c2_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | ~ c1_1(X88)
          | ~ c2_1(X88) )
      | hskp17 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c2_1(X89)
          | ~ c1_1(X89)
          | ~ c3_1(X89) )
      | hskp28
      | hskp7 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c2_1(X90)
          | ~ c1_1(X90)
          | ~ c3_1(X90) )
      | hskp16 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | ~ c0_1(X91)
          | ~ c1_1(X91)
          | ~ c2_1(X91) )
      | hskp28
      | hskp9 )
    & ( ! [X92] :
          ( ~ ndr1_0
          | ~ c0_1(X92)
          | ~ c1_1(X92)
          | ~ c2_1(X92) )
      | hskp18
      | hskp27 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | ~ c0_1(X93)
          | ~ c1_1(X93)
          | ~ c3_1(X93) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c0_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94) )
      | hskp21 )
    & ( ! [X95] :
          ( ~ ndr1_0
          | ~ c0_1(X95)
          | ~ c1_1(X95)
          | ~ c3_1(X95) )
      | hskp0
      | hskp2 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | ~ c0_1(X96)
          | ~ c1_1(X96)
          | ~ c3_1(X96) )
      | hskp29
      | hskp19 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | ~ c0_1(X97)
          | ~ c1_1(X97)
          | ~ c3_1(X97) )
      | hskp12
      | hskp26 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | ~ c0_1(X98)
          | ~ c1_1(X98)
          | ~ c3_1(X98) )
      | hskp14
      | hskp24 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | ~ c0_1(X99)
          | ~ c2_1(X99)
          | ~ c3_1(X99) )
      | hskp28
      | hskp31 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | ~ c0_1(X100)
          | ~ c2_1(X100)
          | ~ c3_1(X100) )
      | hskp15
      | hskp13 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | ~ c1_1(X101)
          | ~ c2_1(X101)
          | ~ c3_1(X101) )
      | hskp25
      | hskp9 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | ~ c1_1(X102)
          | ~ c2_1(X102)
          | ~ c3_1(X102) )
      | hskp12
      | hskp2 )
    & ( hskp31
      | hskp12
      | hskp24 )
    & ( hskp7
      | hskp30
      | hskp26 )
    & ( hskp3
      | hskp2
      | hskp13 )
    & ( hskp3
      | hskp27
      | hskp26 )
    & ( hskp12
      | hskp6
      | hskp27 )
    & ( hskp21
      | hskp24
      | hskp5 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1)
        & ~ c1_1(a1)
        & ~ c2_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c0_1(a4)
        & c2_1(a4)
        & ~ c1_1(a4) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c2_1(a5)
        & ~ c0_1(a5)
        & ~ c1_1(a5) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a6)
        & c3_1(a6)
        & ~ c2_1(a6) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a7)
        & c3_1(a7)
        & ~ c0_1(a7) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c0_1(a9)
        & ~ c1_1(a9)
        & ~ c2_1(a9) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c2_1(a10)
        & ~ c1_1(a10)
        & ~ c3_1(a10) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & ~ c3_1(a12) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c1_1(a13)
        & c2_1(a13)
        & ~ c0_1(a13) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c1_1(a17)
        & ~ c0_1(a17)
        & ~ c2_1(a17) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c0_1(a21)
        & ~ c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a24)
        & c3_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a26)
        & ~ c0_1(a26)
        & ~ c1_1(a26) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a28)
        & c3_1(a28)
        & ~ c0_1(a28) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c1_1(a29)
        & ~ c2_1(a29)
        & ~ c3_1(a29) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c2_1(a30)
        & c3_1(a30)
        & ~ c1_1(a30) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c0_1(a32)
        & c2_1(a32)
        & ~ c3_1(a32) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a33)
        & c2_1(a33)
        & ~ c3_1(a33) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c1_1(a35)
        & ~ c0_1(a35)
        & ~ c3_1(a35) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c0_1(a36)
        & c1_1(a36)
        & ~ c2_1(a36) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a39)
        & ~ c0_1(a39)
        & ~ c3_1(a39) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & ~ c0_1(a40)
        & ~ c2_1(a40)
        & ~ c3_1(a40) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a42)
        & ~ c1_1(a42)
        & ~ c3_1(a42) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c3_1(a52)
        & ~ c0_1(a52)
        & ~ c2_1(a52) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a54)
        & c3_1(a54)
        & ~ c1_1(a54) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & ~ c0_1(a57)
        & ~ c1_1(a57)
        & ~ c3_1(a57) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c3_1(a65)
        & ~ c1_1(a65)
        & ~ c2_1(a65) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a2)
        & c1_1(a2)
        & c2_1(a2) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a8)
        & c2_1(a8)
        & c3_1(a8) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a20)
        & c2_1(a20)
        & c3_1(a20) ) )
    & ( ~ hskp31
      | ( ndr1_0
        & c0_1(a76)
        & c1_1(a76)
        & c3_1(a76) ) )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c0_1(X103)
          | c1_1(X103)
          | c2_1(X103) )
      | ! [X104] :
          ( ~ ndr1_0
          | c0_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104) )
      | ! [X105] :
          ( ~ ndr1_0
          | c2_1(X105)
          | ~ c1_1(X105)
          | ~ c3_1(X105) ) )
    & ( ! [X106] :
          ( ~ ndr1_0
          | c0_1(X106)
          | c1_1(X106)
          | c2_1(X106) )
      | ! [X107] :
          ( ~ ndr1_0
          | c1_1(X107)
          | ~ c0_1(X107)
          | ~ c2_1(X107) )
      | hskp0 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c0_1(X108)
          | c1_1(X108)
          | c2_1(X108) )
      | hskp28
      | hskp0 )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c0_1(X109)
          | c1_1(X109)
          | c3_1(X109) )
      | ! [X110] :
          ( ~ ndr1_0
          | c0_1(X110)
          | c2_1(X110)
          | ~ c3_1(X110) )
      | hskp1 )
    & ( ! [X111] :
          ( ~ ndr1_0
          | c0_1(X111)
          | c1_1(X111)
          | c3_1(X111) )
      | ! [X112] :
          ( ~ ndr1_0
          | c2_1(X112)
          | c3_1(X112)
          | ~ c1_1(X112) )
      | hskp2 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | c0_1(X113)
          | c1_1(X113)
          | ~ c2_1(X113) )
      | ! [X114] :
          ( ~ ndr1_0
          | c0_1(X114)
          | c2_1(X114)
          | ~ c1_1(X114) )
      | ! [X115] :
          ( ~ ndr1_0
          | c0_1(X115)
          | c3_1(X115)
          | ~ c2_1(X115) ) )
    & ( ! [X116] :
          ( ~ ndr1_0
          | c0_1(X116)
          | c1_1(X116)
          | ~ c3_1(X116) )
      | ! [X117] :
          ( ~ ndr1_0
          | c2_1(X117)
          | ~ c0_1(X117)
          | ~ c1_1(X117) )
      | hskp3 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | c0_1(X118)
          | c2_1(X118)
          | c3_1(X118) )
      | ! [X119] :
          ( ~ ndr1_0
          | c0_1(X119)
          | c2_1(X119)
          | ~ c3_1(X119) )
      | hskp4 )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c2_1(X120)
          | c3_1(X120) )
      | hskp29
      | hskp5 )
    & ( ! [X121] :
          ( ~ ndr1_0
          | c0_1(X121)
          | c2_1(X121)
          | ~ c1_1(X121) )
      | ! [X122] :
          ( ~ ndr1_0
          | c0_1(X122)
          | c3_1(X122)
          | ~ c1_1(X122) )
      | hskp6 )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c2_1(X123)
          | ~ c1_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c3_1(X124)
          | ~ c0_1(X124)
          | ~ c1_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | ~ c0_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125) ) )
    & ( ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c2_1(X126)
          | ~ c1_1(X126) )
      | ! [X127] :
          ( ~ ndr1_0
          | ~ c0_1(X127)
          | ~ c2_1(X127)
          | ~ c3_1(X127) )
      | hskp28 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c2_1(X128)
          | ~ c1_1(X128) )
      | hskp7
      | hskp8 )
    & ( ! [X129] :
          ( ~ ndr1_0
          | c0_1(X129)
          | c2_1(X129)
          | ~ c1_1(X129) )
      | hskp0
      | hskp9 )
    & ( ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c2_1(X130)
          | ~ c3_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c0_1(X131)
          | ~ c1_1(X131)
          | ~ c2_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | ~ c1_1(X132)
          | ~ c2_1(X132)
          | ~ c3_1(X132) ) )
    & ( ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c2_1(X133)
          | ~ c3_1(X133) )
      | ! [X134] :
          ( ~ ndr1_0
          | c1_1(X134)
          | c3_1(X134)
          | ~ c0_1(X134) )
      | hskp7 )
    & ( ! [X135] :
          ( ~ ndr1_0
          | c0_1(X135)
          | c2_1(X135)
          | ~ c3_1(X135) )
      | ! [X136] :
          ( ~ ndr1_0
          | c1_1(X136)
          | c3_1(X136)
          | ~ c0_1(X136) )
      | hskp10 )
    & ( ! [X137] :
          ( ~ ndr1_0
          | c0_1(X137)
          | c2_1(X137)
          | ~ c3_1(X137) )
      | ! [X138] :
          ( ~ ndr1_0
          | c3_1(X138)
          | ~ c0_1(X138)
          | ~ c1_1(X138) )
      | hskp5 )
    & ( ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | c2_1(X139)
          | ~ c3_1(X139) )
      | ! [X140] :
          ( ~ ndr1_0
          | ~ c0_1(X140)
          | ~ c1_1(X140)
          | ~ c3_1(X140) )
      | hskp5 )
    & ( ! [X141] :
          ( ~ ndr1_0
          | c0_1(X141)
          | c2_1(X141)
          | ~ c3_1(X141) )
      | hskp30
      | hskp11 )
    & ( ! [X142] :
          ( ~ ndr1_0
          | c0_1(X142)
          | c3_1(X142)
          | ~ c1_1(X142) )
      | hskp30
      | hskp8 )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | c3_1(X143)
          | ~ c1_1(X143) )
      | hskp12 )
    & ( ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | c3_1(X144)
          | ~ c2_1(X144) )
      | ! [X145] :
          ( ~ ndr1_0
          | c1_1(X145)
          | ~ c2_1(X145)
          | ~ c3_1(X145) )
      | hskp8 )
    & ( ! [X146] :
          ( ~ ndr1_0
          | c0_1(X146)
          | c3_1(X146)
          | ~ c2_1(X146) )
      | ! [X147] :
          ( ~ ndr1_0
          | c2_1(X147)
          | c3_1(X147)
          | ~ c0_1(X147) )
      | ! [X148] :
          ( ~ ndr1_0
          | c3_1(X148)
          | ~ c0_1(X148)
          | ~ c1_1(X148) ) )
    & ( ! [X149] :
          ( ~ ndr1_0
          | c0_1(X149)
          | c3_1(X149)
          | ~ c2_1(X149) )
      | ! [X150] :
          ( ~ ndr1_0
          | c2_1(X150)
          | c3_1(X150)
          | ~ c1_1(X150) )
      | hskp13 )
    & ( ! [X151] :
          ( ~ ndr1_0
          | c0_1(X151)
          | c3_1(X151)
          | ~ c2_1(X151) )
      | hskp3
      | hskp14 )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c0_1(X152)
          | c3_1(X152)
          | ~ c2_1(X152) )
      | hskp15
      | hskp16 )
    & ( ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | ~ c1_1(X153)
          | ~ c2_1(X153) )
      | ! [X154] :
          ( ~ ndr1_0
          | c0_1(X154)
          | ~ c1_1(X154)
          | ~ c3_1(X154) )
      | ! [X155] :
          ( ~ ndr1_0
          | c1_1(X155)
          | c3_1(X155)
          | ~ c0_1(X155) ) )
    & ( ! [X156] :
          ( ~ ndr1_0
          | c0_1(X156)
          | ~ c1_1(X156)
          | ~ c2_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | c3_1(X157)
          | ~ c0_1(X157)
          | ~ c1_1(X157) )
      | hskp30 )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c0_1(X158)
          | ~ c1_1(X158)
          | ~ c2_1(X158) )
      | hskp17
      | hskp18 )
    & ( ! [X159] :
          ( ~ ndr1_0
          | c0_1(X159)
          | ~ c1_1(X159)
          | ~ c3_1(X159) )
      | hskp11
      | hskp19 )
    & ( ! [X160] :
          ( ~ ndr1_0
          | c0_1(X160)
          | ~ c2_1(X160)
          | ~ c3_1(X160) )
      | hskp20
      | hskp4 )
    & ( ! [X161] :
          ( ~ ndr1_0
          | c1_1(X161)
          | c2_1(X161)
          | c3_1(X161) )
      | ! [X162] :
          ( ~ ndr1_0
          | c1_1(X162)
          | ~ c0_1(X162)
          | ~ c2_1(X162) )
      | ! [X163] :
          ( ~ ndr1_0
          | ~ c0_1(X163)
          | ~ c2_1(X163)
          | ~ c3_1(X163) ) )
    & ( ! [X164] :
          ( ~ ndr1_0
          | c1_1(X164)
          | c2_1(X164)
          | c3_1(X164) )
      | ! [X165] :
          ( ~ ndr1_0
          | c1_1(X165)
          | ~ c2_1(X165)
          | ~ c3_1(X165) )
      | hskp8 )
    & ( ! [X166] :
          ( ~ ndr1_0
          | c1_1(X166)
          | c2_1(X166)
          | c3_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | c3_1(X167)
          | ~ c0_1(X167)
          | ~ c1_1(X167) )
      | hskp21 )
    & ( ! [X168] :
          ( ~ ndr1_0
          | c1_1(X168)
          | c2_1(X168)
          | ~ c0_1(X168) )
      | ! [X169] :
          ( ~ ndr1_0
          | ~ c0_1(X169)
          | ~ c1_1(X169)
          | ~ c3_1(X169) )
      | hskp22 )
    & ( ! [X170] :
          ( ~ ndr1_0
          | c1_1(X170)
          | c2_1(X170)
          | ~ c0_1(X170) )
      | hskp30
      | hskp23 )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c1_1(X171)
          | c2_1(X171)
          | ~ c3_1(X171) )
      | hskp17
      | hskp6 )
    & ( ! [X172] :
          ( ~ ndr1_0
          | c1_1(X172)
          | c3_1(X172)
          | ~ c0_1(X172) )
      | ! [X173] :
          ( ~ ndr1_0
          | c1_1(X173)
          | ~ c0_1(X173)
          | ~ c3_1(X173) )
      | hskp2 )
    & ( ! [X174] :
          ( ~ ndr1_0
          | c1_1(X174)
          | c3_1(X174)
          | ~ c2_1(X174) )
      | ! [X175] :
          ( ~ ndr1_0
          | c2_1(X175)
          | c3_1(X175)
          | ~ c1_1(X175) )
      | hskp9 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c1_1(X176)
          | c3_1(X176)
          | ~ c2_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | ~ c1_1(X177)
          | ~ c2_1(X177)
          | ~ c3_1(X177) )
      | hskp3 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c1_1(X178)
          | ~ c0_1(X178)
          | ~ c3_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | ~ c0_1(X179)
          | ~ c1_1(X179)
          | ~ c3_1(X179) )
      | ! [X180] :
          ( ~ ndr1_0
          | ~ c0_1(X180)
          | ~ c2_1(X180)
          | ~ c3_1(X180) ) )
    & ( ! [X181] :
          ( ~ ndr1_0
          | c1_1(X181)
          | ~ c0_1(X181)
          | ~ c3_1(X181) )
      | hskp8
      | hskp21 )
    & ( ! [X182] :
          ( ~ ndr1_0
          | c1_1(X182)
          | ~ c2_1(X182)
          | ~ c3_1(X182) )
      | ! [X183] :
          ( ~ ndr1_0
          | c2_1(X183)
          | ~ c0_1(X183)
          | ~ c1_1(X183) )
      | hskp15 )
    & ( ! [X184] :
          ( ~ ndr1_0
          | c2_1(X184)
          | c3_1(X184)
          | ~ c0_1(X184) )
      | hskp3
      | hskp24 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | c2_1(X185)
          | c3_1(X185)
          | ~ c1_1(X185) )
      | ! [X186] :
          ( ~ ndr1_0
          | ~ c0_1(X186)
          | ~ c2_1(X186)
          | ~ c3_1(X186) )
      | hskp12 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | c2_1(X187)
          | c3_1(X187)
          | ~ c1_1(X187) )
      | hskp25
      | hskp3 )
    & ( ! [X188] :
          ( ~ ndr1_0
          | c2_1(X188)
          | ~ c0_1(X188)
          | ~ c1_1(X188) )
      | hskp28
      | hskp26 )
    & ( ! [X189] :
          ( ~ ndr1_0
          | c2_1(X189)
          | ~ c0_1(X189)
          | ~ c3_1(X189) )
      | ! [X190] :
          ( ~ ndr1_0
          | c3_1(X190)
          | ~ c1_1(X190)
          | ~ c2_1(X190) )
      | hskp17 )
    & ( ! [X191] :
          ( ~ ndr1_0
          | c2_1(X191)
          | ~ c1_1(X191)
          | ~ c3_1(X191) )
      | hskp28
      | hskp7 )
    & ( ! [X192] :
          ( ~ ndr1_0
          | c2_1(X192)
          | ~ c1_1(X192)
          | ~ c3_1(X192) )
      | hskp16 )
    & ( ! [X193] :
          ( ~ ndr1_0
          | ~ c0_1(X193)
          | ~ c1_1(X193)
          | ~ c2_1(X193) )
      | hskp28
      | hskp9 )
    & ( ! [X194] :
          ( ~ ndr1_0
          | ~ c0_1(X194)
          | ~ c1_1(X194)
          | ~ c2_1(X194) )
      | hskp18
      | hskp27 )
    & ( ! [X195] :
          ( ~ ndr1_0
          | ~ c0_1(X195)
          | ~ c1_1(X195)
          | ~ c3_1(X195) )
      | ! [X196] :
          ( ~ ndr1_0
          | ~ c0_1(X196)
          | ~ c2_1(X196)
          | ~ c3_1(X196) )
      | hskp21 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | ~ c0_1(X197)
          | ~ c1_1(X197)
          | ~ c3_1(X197) )
      | hskp0
      | hskp2 )
    & ( ! [X198] :
          ( ~ ndr1_0
          | ~ c0_1(X198)
          | ~ c1_1(X198)
          | ~ c3_1(X198) )
      | hskp29
      | hskp19 )
    & ( ! [X199] :
          ( ~ ndr1_0
          | ~ c0_1(X199)
          | ~ c1_1(X199)
          | ~ c3_1(X199) )
      | hskp12
      | hskp26 )
    & ( ! [X200] :
          ( ~ ndr1_0
          | ~ c0_1(X200)
          | ~ c1_1(X200)
          | ~ c3_1(X200) )
      | hskp14
      | hskp24 )
    & ( ! [X201] :
          ( ~ ndr1_0
          | ~ c0_1(X201)
          | ~ c2_1(X201)
          | ~ c3_1(X201) )
      | hskp28
      | hskp31 )
    & ( ! [X202] :
          ( ~ ndr1_0
          | ~ c0_1(X202)
          | ~ c2_1(X202)
          | ~ c3_1(X202) )
      | hskp15
      | hskp13 )
    & ( ! [X203] :
          ( ~ ndr1_0
          | ~ c1_1(X203)
          | ~ c2_1(X203)
          | ~ c3_1(X203) )
      | hskp25
      | hskp9 )
    & ( ! [X204] :
          ( ~ ndr1_0
          | ~ c1_1(X204)
          | ~ c2_1(X204)
          | ~ c3_1(X204) )
      | hskp12
      | hskp2 )
    & ( hskp31
      | hskp12
      | hskp24 )
    & ( hskp7
      | hskp30
      | hskp26 )
    & ( hskp3
      | hskp2
      | hskp13 )
    & ( hskp3
      | hskp27
      | hskp26 )
    & ( hskp12
      | hskp6
      | hskp27 )
    & ( hskp21
      | hskp24
      | hskp5 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204] :
      ( ( ~ ndr1_0
        | ~ c1_1(X204)
        | ~ c2_1(X204)
        | ~ c3_1(X204)
        | hskp12
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c1_1(X203)
        | ~ c2_1(X203)
        | ~ c3_1(X203)
        | hskp25
        | hskp9 )
      & ( ~ ndr1_0
        | ~ c0_1(X202)
        | ~ c2_1(X202)
        | ~ c3_1(X202)
        | hskp15
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c0_1(X201)
        | ~ c2_1(X201)
        | ~ c3_1(X201)
        | hskp28
        | hskp31 )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c1_1(X200)
        | ~ c3_1(X200)
        | hskp14
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X199)
        | ~ c1_1(X199)
        | ~ c3_1(X199)
        | hskp12
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c0_1(X198)
        | ~ c1_1(X198)
        | ~ c3_1(X198)
        | hskp29
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X197)
        | ~ c1_1(X197)
        | ~ c3_1(X197)
        | hskp0
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c0_1(X196)
        | ~ c2_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ c3_1(X195)
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X194)
        | ~ c1_1(X194)
        | ~ c2_1(X194)
        | hskp18
        | hskp27 )
      & ( ~ ndr1_0
        | ~ c0_1(X193)
        | ~ c1_1(X193)
        | ~ c2_1(X193)
        | hskp28
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X192)
        | ~ c1_1(X192)
        | ~ c3_1(X192)
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X191)
        | ~ c1_1(X191)
        | ~ c3_1(X191)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X190)
        | ~ c1_1(X190)
        | ~ c2_1(X190)
        | ~ ndr1_0
        | c2_1(X189)
        | ~ c0_1(X189)
        | ~ c3_1(X189)
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X188)
        | ~ c0_1(X188)
        | ~ c1_1(X188)
        | hskp28
        | hskp26 )
      & ( ~ ndr1_0
        | c2_1(X187)
        | c3_1(X187)
        | ~ c1_1(X187)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c2_1(X185)
        | c3_1(X185)
        | ~ c1_1(X185)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X184)
        | c3_1(X184)
        | ~ c0_1(X184)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X183)
        | ~ c0_1(X183)
        | ~ c1_1(X183)
        | ~ ndr1_0
        | c1_1(X182)
        | ~ c2_1(X182)
        | ~ c3_1(X182)
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | ~ c0_1(X181)
        | ~ c3_1(X181)
        | hskp8
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X180)
        | ~ c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ c3_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | ~ c0_1(X178)
        | ~ c3_1(X178) )
      & ( ~ ndr1_0
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c1_1(X176)
        | c3_1(X176)
        | ~ c2_1(X176)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | ~ ndr1_0
        | c1_1(X174)
        | c3_1(X174)
        | ~ c2_1(X174)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X173)
        | ~ c0_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c1_1(X172)
        | c3_1(X172)
        | ~ c0_1(X172)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp17
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | c2_1(X170)
        | ~ c0_1(X170)
        | hskp30
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X169)
        | ~ c1_1(X169)
        | ~ c3_1(X169)
        | ~ ndr1_0
        | c1_1(X168)
        | c2_1(X168)
        | ~ c0_1(X168)
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X167)
        | ~ c0_1(X167)
        | ~ c1_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | c2_1(X166)
        | c3_1(X166)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X165)
        | ~ c2_1(X165)
        | ~ c3_1(X165)
        | ~ ndr1_0
        | c1_1(X164)
        | c2_1(X164)
        | c3_1(X164)
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X163)
        | ~ c2_1(X163)
        | ~ c3_1(X163)
        | ~ ndr1_0
        | c1_1(X162)
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | ~ ndr1_0
        | c1_1(X161)
        | c2_1(X161)
        | c3_1(X161) )
      & ( ~ ndr1_0
        | c0_1(X160)
        | ~ c2_1(X160)
        | ~ c3_1(X160)
        | hskp20
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | ~ c1_1(X159)
        | ~ c3_1(X159)
        | hskp11
        | hskp19 )
      & ( ~ ndr1_0
        | c0_1(X158)
        | ~ c1_1(X158)
        | ~ c2_1(X158)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c3_1(X157)
        | ~ c0_1(X157)
        | ~ c1_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | ~ c1_1(X156)
        | ~ c2_1(X156)
        | hskp30 )
      & ( ~ ndr1_0
        | c1_1(X155)
        | c3_1(X155)
        | ~ c0_1(X155)
        | ~ ndr1_0
        | c0_1(X154)
        | ~ c1_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153) )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c3_1(X152)
        | ~ c2_1(X152)
        | hskp15
        | hskp16 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c3_1(X151)
        | ~ c2_1(X151)
        | hskp3
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X150)
        | c3_1(X150)
        | ~ c1_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c3_1(X149)
        | ~ c2_1(X149)
        | hskp13 )
      & ( ~ ndr1_0
        | c3_1(X148)
        | ~ c0_1(X148)
        | ~ c1_1(X148)
        | ~ ndr1_0
        | c2_1(X147)
        | c3_1(X147)
        | ~ c0_1(X147)
        | ~ ndr1_0
        | c0_1(X146)
        | c3_1(X146)
        | ~ c2_1(X146) )
      & ( ~ ndr1_0
        | c1_1(X145)
        | ~ c2_1(X145)
        | ~ c3_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c3_1(X144)
        | ~ c2_1(X144)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c3_1(X143)
        | ~ c1_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c3_1(X142)
        | ~ c1_1(X142)
        | hskp30
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X141)
        | c2_1(X141)
        | ~ c3_1(X141)
        | hskp30
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X140)
        | ~ c1_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c2_1(X139)
        | ~ c3_1(X139)
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X138)
        | ~ c0_1(X138)
        | ~ c1_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c2_1(X137)
        | ~ c3_1(X137)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X136)
        | c3_1(X136)
        | ~ c0_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c3_1(X135)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X134)
        | c3_1(X134)
        | ~ c0_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c2_1(X133)
        | ~ c3_1(X133)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X132)
        | ~ c2_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | ~ c1_1(X131)
        | ~ c2_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c2_1(X130)
        | ~ c3_1(X130) )
      & ( ~ ndr1_0
        | c0_1(X129)
        | c2_1(X129)
        | ~ c1_1(X129)
        | hskp0
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c1_1(X128)
        | hskp7
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X127)
        | ~ c2_1(X127)
        | ~ c3_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c1_1(X126)
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c3_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c1_1(X123) )
      & ( ~ ndr1_0
        | c0_1(X122)
        | c3_1(X122)
        | ~ c1_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120)
        | hskp29
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c2_1(X118)
        | c3_1(X118)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X117)
        | ~ c0_1(X117)
        | ~ c1_1(X117)
        | ~ ndr1_0
        | c0_1(X116)
        | c1_1(X116)
        | ~ c3_1(X116)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X115)
        | c3_1(X115)
        | ~ c2_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c2_1(X114)
        | ~ c1_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | ~ c2_1(X113) )
      & ( ~ ndr1_0
        | c2_1(X112)
        | c3_1(X112)
        | ~ c1_1(X112)
        | ~ ndr1_0
        | c0_1(X111)
        | c1_1(X111)
        | c3_1(X111)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X110)
        | c2_1(X110)
        | ~ c3_1(X110)
        | ~ ndr1_0
        | c0_1(X109)
        | c1_1(X109)
        | c3_1(X109)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | c2_1(X108)
        | hskp28
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X107)
        | ~ c0_1(X107)
        | ~ c2_1(X107)
        | ~ ndr1_0
        | c0_1(X106)
        | c1_1(X106)
        | c2_1(X106)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X105)
        | ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ ndr1_0
        | c0_1(X104)
        | ~ c2_1(X104)
        | ~ c3_1(X104)
        | ~ ndr1_0
        | c0_1(X103)
        | c1_1(X103)
        | c2_1(X103) )
      & ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1)
          & ~ c1_1(a1)
          & ~ c2_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c0_1(a4)
          & c2_1(a4)
          & ~ c1_1(a4) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c2_1(a5)
          & ~ c0_1(a5)
          & ~ c1_1(a5) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a6)
          & c3_1(a6)
          & ~ c2_1(a6) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a7)
          & c3_1(a7)
          & ~ c0_1(a7) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c0_1(a9)
          & ~ c1_1(a9)
          & ~ c2_1(a9) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c2_1(a10)
          & ~ c1_1(a10)
          & ~ c3_1(a10) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c0_1(a12)
          & c1_1(a12)
          & ~ c3_1(a12) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c1_1(a13)
          & c2_1(a13)
          & ~ c0_1(a13) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c1_1(a17)
          & ~ c0_1(a17)
          & ~ c2_1(a17) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c0_1(a21)
          & ~ c2_1(a21)
          & ~ c3_1(a21) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a24)
          & c3_1(a24)
          & ~ c2_1(a24) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a26)
          & ~ c0_1(a26)
          & ~ c1_1(a26) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a28)
          & c3_1(a28)
          & ~ c0_1(a28) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c1_1(a29)
          & ~ c2_1(a29)
          & ~ c3_1(a29) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c2_1(a30)
          & c3_1(a30)
          & ~ c1_1(a30) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c0_1(a32)
          & c2_1(a32)
          & ~ c3_1(a32) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a33)
          & c2_1(a33)
          & ~ c3_1(a33) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c1_1(a35)
          & ~ c0_1(a35)
          & ~ c3_1(a35) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c0_1(a36)
          & c1_1(a36)
          & ~ c2_1(a36) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a39)
          & ~ c0_1(a39)
          & ~ c3_1(a39) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a40)
          & ~ c2_1(a40)
          & ~ c3_1(a40) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a42)
          & ~ c1_1(a42)
          & ~ c3_1(a42) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c3_1(a52)
          & ~ c0_1(a52)
          & ~ c2_1(a52) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a54)
          & c3_1(a54)
          & ~ c1_1(a54) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & ~ c0_1(a57)
          & ~ c1_1(a57)
          & ~ c3_1(a57) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c3_1(a65)
          & ~ c1_1(a65)
          & ~ c2_1(a65) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a2)
          & c1_1(a2)
          & c2_1(a2) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a8)
          & c2_1(a8)
          & c3_1(a8) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a20)
          & c2_1(a20)
          & c3_1(a20) ) )
      & ( ~ hskp31
        | ( ndr1_0
          & c0_1(a76)
          & c1_1(a76)
          & c3_1(a76) ) )
      & ( hskp31
        | hskp12
        | hskp24 )
      & ( hskp7
        | hskp30
        | hskp26 )
      & ( hskp3
        | hskp2
        | hskp13 )
      & ( hskp3
        | hskp27
        | hskp26 )
      & ( hskp12
        | hskp6
        | hskp27 )
      & ( hskp21
        | hskp24
        | hskp5 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X103,X104,X105,X106,X107,X108,X109,X110,X111,X112,X113,X114,X115,X116,X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204] :
      ( ( ~ ndr1_0
        | ~ c1_1(X204)
        | ~ c2_1(X204)
        | ~ c3_1(X204)
        | hskp12
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c1_1(X203)
        | ~ c2_1(X203)
        | ~ c3_1(X203)
        | hskp25
        | hskp9 )
      & ( ~ ndr1_0
        | ~ c0_1(X202)
        | ~ c2_1(X202)
        | ~ c3_1(X202)
        | hskp15
        | hskp13 )
      & ( ~ ndr1_0
        | ~ c0_1(X201)
        | ~ c2_1(X201)
        | ~ c3_1(X201)
        | hskp28
        | hskp31 )
      & ( ~ ndr1_0
        | ~ c0_1(X200)
        | ~ c1_1(X200)
        | ~ c3_1(X200)
        | hskp14
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X199)
        | ~ c1_1(X199)
        | ~ c3_1(X199)
        | hskp12
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c0_1(X198)
        | ~ c1_1(X198)
        | ~ c3_1(X198)
        | hskp29
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X197)
        | ~ c1_1(X197)
        | ~ c3_1(X197)
        | hskp0
        | hskp2 )
      & ( ~ ndr1_0
        | ~ c0_1(X196)
        | ~ c2_1(X196)
        | ~ c3_1(X196)
        | ~ ndr1_0
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ c3_1(X195)
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X194)
        | ~ c1_1(X194)
        | ~ c2_1(X194)
        | hskp18
        | hskp27 )
      & ( ~ ndr1_0
        | ~ c0_1(X193)
        | ~ c1_1(X193)
        | ~ c2_1(X193)
        | hskp28
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X192)
        | ~ c1_1(X192)
        | ~ c3_1(X192)
        | hskp16 )
      & ( ~ ndr1_0
        | c2_1(X191)
        | ~ c1_1(X191)
        | ~ c3_1(X191)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X190)
        | ~ c1_1(X190)
        | ~ c2_1(X190)
        | ~ ndr1_0
        | c2_1(X189)
        | ~ c0_1(X189)
        | ~ c3_1(X189)
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X188)
        | ~ c0_1(X188)
        | ~ c1_1(X188)
        | hskp28
        | hskp26 )
      & ( ~ ndr1_0
        | c2_1(X187)
        | c3_1(X187)
        | ~ c1_1(X187)
        | hskp25
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c2_1(X185)
        | c3_1(X185)
        | ~ c1_1(X185)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X184)
        | c3_1(X184)
        | ~ c0_1(X184)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | c2_1(X183)
        | ~ c0_1(X183)
        | ~ c1_1(X183)
        | ~ ndr1_0
        | c1_1(X182)
        | ~ c2_1(X182)
        | ~ c3_1(X182)
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | ~ c0_1(X181)
        | ~ c3_1(X181)
        | hskp8
        | hskp21 )
      & ( ~ ndr1_0
        | ~ c0_1(X180)
        | ~ c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0
        | ~ c0_1(X179)
        | ~ c1_1(X179)
        | ~ c3_1(X179)
        | ~ ndr1_0
        | c1_1(X178)
        | ~ c0_1(X178)
        | ~ c3_1(X178) )
      & ( ~ ndr1_0
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c1_1(X176)
        | c3_1(X176)
        | ~ c2_1(X176)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X175)
        | c3_1(X175)
        | ~ c1_1(X175)
        | ~ ndr1_0
        | c1_1(X174)
        | c3_1(X174)
        | ~ c2_1(X174)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X173)
        | ~ c0_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c1_1(X172)
        | c3_1(X172)
        | ~ c0_1(X172)
        | hskp2 )
      & ( ~ ndr1_0
        | c1_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp17
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | c2_1(X170)
        | ~ c0_1(X170)
        | hskp30
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c0_1(X169)
        | ~ c1_1(X169)
        | ~ c3_1(X169)
        | ~ ndr1_0
        | c1_1(X168)
        | c2_1(X168)
        | ~ c0_1(X168)
        | hskp22 )
      & ( ~ ndr1_0
        | c3_1(X167)
        | ~ c0_1(X167)
        | ~ c1_1(X167)
        | ~ ndr1_0
        | c1_1(X166)
        | c2_1(X166)
        | c3_1(X166)
        | hskp21 )
      & ( ~ ndr1_0
        | c1_1(X165)
        | ~ c2_1(X165)
        | ~ c3_1(X165)
        | ~ ndr1_0
        | c1_1(X164)
        | c2_1(X164)
        | c3_1(X164)
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X163)
        | ~ c2_1(X163)
        | ~ c3_1(X163)
        | ~ ndr1_0
        | c1_1(X162)
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | ~ ndr1_0
        | c1_1(X161)
        | c2_1(X161)
        | c3_1(X161) )
      & ( ~ ndr1_0
        | c0_1(X160)
        | ~ c2_1(X160)
        | ~ c3_1(X160)
        | hskp20
        | hskp4 )
      & ( ~ ndr1_0
        | c0_1(X159)
        | ~ c1_1(X159)
        | ~ c3_1(X159)
        | hskp11
        | hskp19 )
      & ( ~ ndr1_0
        | c0_1(X158)
        | ~ c1_1(X158)
        | ~ c2_1(X158)
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c3_1(X157)
        | ~ c0_1(X157)
        | ~ c1_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | ~ c1_1(X156)
        | ~ c2_1(X156)
        | hskp30 )
      & ( ~ ndr1_0
        | c1_1(X155)
        | c3_1(X155)
        | ~ c0_1(X155)
        | ~ ndr1_0
        | c0_1(X154)
        | ~ c1_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | ~ c1_1(X153)
        | ~ c2_1(X153) )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c3_1(X152)
        | ~ c2_1(X152)
        | hskp15
        | hskp16 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c3_1(X151)
        | ~ c2_1(X151)
        | hskp3
        | hskp14 )
      & ( ~ ndr1_0
        | c2_1(X150)
        | c3_1(X150)
        | ~ c1_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c3_1(X149)
        | ~ c2_1(X149)
        | hskp13 )
      & ( ~ ndr1_0
        | c3_1(X148)
        | ~ c0_1(X148)
        | ~ c1_1(X148)
        | ~ ndr1_0
        | c2_1(X147)
        | c3_1(X147)
        | ~ c0_1(X147)
        | ~ ndr1_0
        | c0_1(X146)
        | c3_1(X146)
        | ~ c2_1(X146) )
      & ( ~ ndr1_0
        | c1_1(X145)
        | ~ c2_1(X145)
        | ~ c3_1(X145)
        | ~ ndr1_0
        | c0_1(X144)
        | c3_1(X144)
        | ~ c2_1(X144)
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X143)
        | c3_1(X143)
        | ~ c1_1(X143)
        | hskp12 )
      & ( ~ ndr1_0
        | c0_1(X142)
        | c3_1(X142)
        | ~ c1_1(X142)
        | hskp30
        | hskp8 )
      & ( ~ ndr1_0
        | c0_1(X141)
        | c2_1(X141)
        | ~ c3_1(X141)
        | hskp30
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X140)
        | ~ c1_1(X140)
        | ~ c3_1(X140)
        | ~ ndr1_0
        | c0_1(X139)
        | c2_1(X139)
        | ~ c3_1(X139)
        | hskp5 )
      & ( ~ ndr1_0
        | c3_1(X138)
        | ~ c0_1(X138)
        | ~ c1_1(X138)
        | ~ ndr1_0
        | c0_1(X137)
        | c2_1(X137)
        | ~ c3_1(X137)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X136)
        | c3_1(X136)
        | ~ c0_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | ~ c3_1(X135)
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X134)
        | c3_1(X134)
        | ~ c0_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c2_1(X133)
        | ~ c3_1(X133)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X132)
        | ~ c2_1(X132)
        | ~ c3_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | ~ c1_1(X131)
        | ~ c2_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c2_1(X130)
        | ~ c3_1(X130) )
      & ( ~ ndr1_0
        | c0_1(X129)
        | c2_1(X129)
        | ~ c1_1(X129)
        | hskp0
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X128)
        | c2_1(X128)
        | ~ c1_1(X128)
        | hskp7
        | hskp8 )
      & ( ~ ndr1_0
        | ~ c0_1(X127)
        | ~ c2_1(X127)
        | ~ c3_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c2_1(X126)
        | ~ c1_1(X126)
        | hskp28 )
      & ( ~ ndr1_0
        | ~ c0_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c3_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c2_1(X123)
        | ~ c1_1(X123) )
      & ( ~ ndr1_0
        | c0_1(X122)
        | c3_1(X122)
        | ~ c1_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c2_1(X121)
        | ~ c1_1(X121)
        | hskp6 )
      & ( ~ ndr1_0
        | c0_1(X120)
        | c2_1(X120)
        | c3_1(X120)
        | hskp29
        | hskp5 )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c2_1(X118)
        | c3_1(X118)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X117)
        | ~ c0_1(X117)
        | ~ c1_1(X117)
        | ~ ndr1_0
        | c0_1(X116)
        | c1_1(X116)
        | ~ c3_1(X116)
        | hskp3 )
      & ( ~ ndr1_0
        | c0_1(X115)
        | c3_1(X115)
        | ~ c2_1(X115)
        | ~ ndr1_0
        | c0_1(X114)
        | c2_1(X114)
        | ~ c1_1(X114)
        | ~ ndr1_0
        | c0_1(X113)
        | c1_1(X113)
        | ~ c2_1(X113) )
      & ( ~ ndr1_0
        | c2_1(X112)
        | c3_1(X112)
        | ~ c1_1(X112)
        | ~ ndr1_0
        | c0_1(X111)
        | c1_1(X111)
        | c3_1(X111)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X110)
        | c2_1(X110)
        | ~ c3_1(X110)
        | ~ ndr1_0
        | c0_1(X109)
        | c1_1(X109)
        | c3_1(X109)
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X108)
        | c1_1(X108)
        | c2_1(X108)
        | hskp28
        | hskp0 )
      & ( ~ ndr1_0
        | c1_1(X107)
        | ~ c0_1(X107)
        | ~ c2_1(X107)
        | ~ ndr1_0
        | c0_1(X106)
        | c1_1(X106)
        | c2_1(X106)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X105)
        | ~ c1_1(X105)
        | ~ c3_1(X105)
        | ~ ndr1_0
        | c0_1(X104)
        | ~ c2_1(X104)
        | ~ c3_1(X104)
        | ~ ndr1_0
        | c0_1(X103)
        | c1_1(X103)
        | c2_1(X103) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c0_1(a1)
        | ~ hskp0 )
      & ( ~ c1_1(a1)
        | ~ hskp0 )
      & ( ~ c2_1(a1)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c0_1(a4)
        | ~ hskp1 )
      & ( c2_1(a4)
        | ~ hskp1 )
      & ( ~ c1_1(a4)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c2_1(a5)
        | ~ hskp2 )
      & ( ~ c0_1(a5)
        | ~ hskp2 )
      & ( ~ c1_1(a5)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a6)
        | ~ hskp3 )
      & ( c3_1(a6)
        | ~ hskp3 )
      & ( ~ c2_1(a6)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c1_1(a7)
        | ~ hskp4 )
      & ( c3_1(a7)
        | ~ hskp4 )
      & ( ~ c0_1(a7)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( ~ c0_1(a9)
        | ~ hskp5 )
      & ( ~ c1_1(a9)
        | ~ hskp5 )
      & ( ~ c2_1(a9)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c2_1(a10)
        | ~ hskp6 )
      & ( ~ c1_1(a10)
        | ~ hskp6 )
      & ( ~ c3_1(a10)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c0_1(a12)
        | ~ hskp7 )
      & ( c1_1(a12)
        | ~ hskp7 )
      & ( ~ c3_1(a12)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c1_1(a13)
        | ~ hskp8 )
      & ( c2_1(a13)
        | ~ hskp8 )
      & ( ~ c0_1(a13)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( ~ c1_1(a15)
        | ~ hskp9 )
      & ( ~ c2_1(a15)
        | ~ hskp9 )
      & ( ~ c3_1(a15)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c1_1(a17)
        | ~ hskp10 )
      & ( ~ c0_1(a17)
        | ~ hskp10 )
      & ( ~ c2_1(a17)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c0_1(a21)
        | ~ hskp11 )
      & ( ~ c2_1(a21)
        | ~ hskp11 )
      & ( ~ c3_1(a21)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c1_1(a24)
        | ~ hskp12 )
      & ( c3_1(a24)
        | ~ hskp12 )
      & ( ~ c2_1(a24)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c3_1(a26)
        | ~ hskp13 )
      & ( ~ c0_1(a26)
        | ~ hskp13 )
      & ( ~ c1_1(a26)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c2_1(a28)
        | ~ hskp14 )
      & ( c3_1(a28)
        | ~ hskp14 )
      & ( ~ c0_1(a28)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c1_1(a29)
        | ~ hskp15 )
      & ( ~ c2_1(a29)
        | ~ hskp15 )
      & ( ~ c3_1(a29)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c2_1(a30)
        | ~ hskp16 )
      & ( c3_1(a30)
        | ~ hskp16 )
      & ( ~ c1_1(a30)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c0_1(a32)
        | ~ hskp17 )
      & ( c2_1(a32)
        | ~ hskp17 )
      & ( ~ c3_1(a32)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a33)
        | ~ hskp18 )
      & ( c2_1(a33)
        | ~ hskp18 )
      & ( ~ c3_1(a33)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c1_1(a35)
        | ~ hskp19 )
      & ( ~ c0_1(a35)
        | ~ hskp19 )
      & ( ~ c3_1(a35)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c0_1(a36)
        | ~ hskp20 )
      & ( c1_1(a36)
        | ~ hskp20 )
      & ( ~ c2_1(a36)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c2_1(a39)
        | ~ hskp21 )
      & ( ~ c0_1(a39)
        | ~ hskp21 )
      & ( ~ c3_1(a39)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( ~ c0_1(a40)
        | ~ hskp22 )
      & ( ~ c2_1(a40)
        | ~ hskp22 )
      & ( ~ c3_1(a40)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c0_1(a42)
        | ~ hskp23 )
      & ( ~ c1_1(a42)
        | ~ hskp23 )
      & ( ~ c3_1(a42)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c3_1(a52)
        | ~ hskp24 )
      & ( ~ c0_1(a52)
        | ~ hskp24 )
      & ( ~ c2_1(a52)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a54)
        | ~ hskp25 )
      & ( c3_1(a54)
        | ~ hskp25 )
      & ( ~ c1_1(a54)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( ~ c0_1(a57)
        | ~ hskp26 )
      & ( ~ c1_1(a57)
        | ~ hskp26 )
      & ( ~ c3_1(a57)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c3_1(a65)
        | ~ hskp27 )
      & ( ~ c1_1(a65)
        | ~ hskp27 )
      & ( ~ c2_1(a65)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a2)
        | ~ hskp28 )
      & ( c1_1(a2)
        | ~ hskp28 )
      & ( c2_1(a2)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c1_1(a8)
        | ~ hskp29 )
      & ( c2_1(a8)
        | ~ hskp29 )
      & ( c3_1(a8)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a20)
        | ~ hskp30 )
      & ( c2_1(a20)
        | ~ hskp30 )
      & ( c3_1(a20)
        | ~ hskp30 )
      & ( ndr1_0
        | ~ hskp31 )
      & ( c0_1(a76)
        | ~ hskp31 )
      & ( c1_1(a76)
        | ~ hskp31 )
      & ( c3_1(a76)
        | ~ hskp31 )
      & ( hskp31
        | hskp12
        | hskp24 )
      & ( hskp7
        | hskp30
        | hskp26 )
      & ( hskp3
        | hskp2
        | hskp13 )
      & ( hskp3
        | hskp27
        | hskp26 )
      & ( hskp12
        | hskp6
        | hskp27 )
      & ( hskp21
        | hskp24
        | hskp5 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp5
    | hskp24
    | hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp27
    | hskp6
    | hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp13
    | hskp2
    | hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp26
    | hskp30
    | hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( c3_1(a76)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(15,negated_conjecture,
    ( c1_1(a76)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( c0_1(a76)
    | ~ hskp31 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c3_1(a20)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c2_1(a20)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c0_1(a20)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c3_1(a8)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c2_1(a8)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c1_1(a8)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c2_1(a2)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( c1_1(a2)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( c0_1(a2)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a65) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(31,negated_conjecture,
    ( ~ hskp27
    | ~ c1_1(a65) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( c3_1(a65)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( ~ hskp26
    | ~ c3_1(a57) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( ~ hskp26
    | ~ c1_1(a57) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a57) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a54) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( c3_1(a54)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( c0_1(a54)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a52) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(43,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a52) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(44,negated_conjecture,
    ( c3_1(a52)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a42) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a42) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( c0_1(a42)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a40) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a40) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ~ hskp22
    | ~ c0_1(a40) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a39) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a39) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( c2_1(a39)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a36) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( c1_1(a36)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( c0_1(a36)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a35) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a35) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( c1_1(a35)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a33) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( c2_1(a33)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( c1_1(a33)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( ~ hskp17
    | ~ c3_1(a32) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( c2_1(a32)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(72,negated_conjecture,
    ( c0_1(a32)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a30) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( c3_1(a30)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( c2_1(a30)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( ~ hskp15
    | ~ c3_1(a29) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(79,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a29) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(80,negated_conjecture,
    ( c1_1(a29)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a28) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( c3_1(a28)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( c2_1(a28)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a26) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( ~ hskp13
    | ~ c0_1(a26) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( c3_1(a26)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( ndr1_0
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( ~ hskp12
    | ~ c2_1(a24) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( c3_1(a24)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( c1_1(a24)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a21) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( ~ hskp11
    | ~ c2_1(a21) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( ~ hskp10
    | ~ c2_1(a17) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a17) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( c1_1(a17)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( ~ hskp8
    | ~ c0_1(a13) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( c1_1(a13)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a12) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( c0_1(a12)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a10) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a10) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( c2_1(a10)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a9) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a9) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( ~ hskp5
    | ~ c0_1(a9) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a7) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( c1_1(a7)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a6) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( c3_1(a6)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(128,negated_conjecture,
    ( c0_1(a6)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( ~ hskp2
    | ~ c0_1(a5) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( c2_1(a5)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( ndr1_0
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a4) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( c2_1(a4)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( c0_1(a4)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(139,negated_conjecture,
    ( ~ hskp0
    | ~ c1_1(a1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(140,negated_conjecture,
    ( c0_1(a1)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(144,negated_conjecture,
    ( hskp0
    | hskp28
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(145,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(146,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(147,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c0_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(148,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(152,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(153,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_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(154,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(155,negated_conjecture,
    ( hskp9
    | hskp0
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(157,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp5
    | c2_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(160,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp11
    | hskp30
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp8
    | hskp30
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(163,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(164,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(166,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(167,negated_conjecture,
    ( hskp14
    | hskp3
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(169,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp30
    | c0_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( hskp4
    | hskp20
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_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(175,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( hskp23
    | hskp30
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp6
    | hskp17
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c1_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(182,negated_conjecture,
    ( hskp3
    | c3_1(X1)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ 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(184,negated_conjecture,
    ( hskp21
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( hskp15
    | c1_1(X1)
    | c2_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(186,negated_conjecture,
    ( hskp24
    | hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp12
    | 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(188,negated_conjecture,
    ( hskp3
    | hskp25
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp26
    | hskp28
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp7
    | hskp28
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(193,negated_conjecture,
    ( hskp9
    | hskp28
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(194,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp21
    | ~ c3_1(X1)
    | ~ c1_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(196,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp19
    | hskp29
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(201,negated_conjecture,
    ( hskp13
    | hskp15
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(202,negated_conjecture,
    ( hskp9
    | hskp25
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,negated_conjecture,
    ( hskp2
    | hskp12
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(204,negated_conjecture,
    ( ndr1_0
    | hskp3
    | hskp2 ),
    inference(spm,[status(thm)],[89,11,theory(equality)]) ).

cnf(880,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[160,159]) ).

cnf(1221,negated_conjecture,
    ( hskp3
    | ndr1_0 ),
    inference(csr,[status(thm)],[204,133]) ).

cnf(1222,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1221,129]) ).

cnf(1223,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[183,1222,theory(equality)]) ).

cnf(1224,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1223,theory(equality)]) ).

cnf(1225,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[152,1222,theory(equality)]) ).

cnf(1226,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1225,theory(equality)]) ).

cnf(1227,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[156,1222,theory(equality)]) ).

cnf(1228,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1227,theory(equality)]) ).

cnf(1229,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[174,1222,theory(equality)]) ).

cnf(1230,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1229,theory(equality)]) ).

cnf(1231,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,1222,theory(equality)]) ).

cnf(1232,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1231,theory(equality)]) ).

cnf(1233,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[165,1222,theory(equality)]) ).

cnf(1234,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1233,theory(equality)]) ).

cnf(1235,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[142,1222,theory(equality)]) ).

cnf(1236,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1235,theory(equality)]) ).

cnf(1237,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[147,1222,theory(equality)]) ).

cnf(1238,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | c0_1(X3)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1237,theory(equality)]) ).

cnf(1239,negated_conjecture,
    ( hskp21
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[195,1222,theory(equality)]) ).

cnf(1240,negated_conjecture,
    ( hskp21
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1239,theory(equality)]) ).

cnf(1241,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[170,1222,theory(equality)]) ).

cnf(1242,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1241,theory(equality)]) ).

cnf(1243,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[153,1222,theory(equality)]) ).

cnf(1244,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1243,theory(equality)]) ).

cnf(1245,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,1222,theory(equality)]) ).

cnf(1246,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1245,theory(equality)]) ).

cnf(1247,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[190,1222,theory(equality)]) ).

cnf(1248,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1247,theory(equality)]) ).

cnf(1249,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[185,1222,theory(equality)]) ).

cnf(1250,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1249,theory(equality)]) ).

cnf(1251,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[187,1222,theory(equality)]) ).

cnf(1252,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1251,theory(equality)]) ).

cnf(1253,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[880,1222,theory(equality)]) ).

cnf(1254,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1253,theory(equality)]) ).

cnf(1255,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[182,1222,theory(equality)]) ).

cnf(1256,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1255,theory(equality)]) ).

cnf(1257,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[164,1222,theory(equality)]) ).

cnf(1258,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1257,theory(equality)]) ).

cnf(1259,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[148,1222,theory(equality)]) ).

cnf(1260,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1259,theory(equality)]) ).

cnf(1263,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[176,1222,theory(equality)]) ).

cnf(1264,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1263,theory(equality)]) ).

cnf(1265,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[166,1222,theory(equality)]) ).

cnf(1266,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1265,theory(equality)]) ).

cnf(1267,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[158,1222,theory(equality)]) ).

cnf(1268,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1267,theory(equality)]) ).

cnf(1269,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[181,1222,theory(equality)]) ).

cnf(1270,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1269,theory(equality)]) ).

cnf(1271,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[175,1222,theory(equality)]) ).

cnf(1272,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1271,theory(equality)]) ).

cnf(1273,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,1222,theory(equality)]) ).

cnf(1274,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1273,theory(equality)]) ).

cnf(1275,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[151,1222,theory(equality)]) ).

cnf(1276,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1275,theory(equality)]) ).

cnf(1277,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[143,1222,theory(equality)]) ).

cnf(1278,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | c0_1(X1)
    | hskp0
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1277,theory(equality)]) ).

cnf(1281,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | hskp2
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[146,1222,theory(equality)]) ).

cnf(1282,negated_conjecture,
    ( c3_1(X1)
    | c3_1(X2)
    | hskp2
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1281,theory(equality)]) ).

cnf(1283,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[145,1222,theory(equality)]) ).

cnf(1284,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1283,theory(equality)]) ).

cnf(1285,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[200,1222,theory(equality)]) ).

cnf(1286,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1285,theory(equality)]) ).

cnf(1287,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[197,1222,theory(equality)]) ).

cnf(1288,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1287,theory(equality)]) ).

cnf(1289,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,1222,theory(equality)]) ).

cnf(1290,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1289,theory(equality)]) ).

cnf(1291,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[199,1222,theory(equality)]) ).

cnf(1292,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1291,theory(equality)]) ).

cnf(1293,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[201,1222,theory(equality)]) ).

cnf(1294,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1293,theory(equality)]) ).

cnf(1295,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,1222,theory(equality)]) ).

cnf(1296,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1295,theory(equality)]) ).

cnf(1297,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[193,1222,theory(equality)]) ).

cnf(1298,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1297,theory(equality)]) ).

cnf(1299,negated_conjecture,
    ( hskp25
    | hskp9
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[202,1222,theory(equality)]) ).

cnf(1300,negated_conjecture,
    ( hskp25
    | hskp9
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1299,theory(equality)]) ).

cnf(1301,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[203,1222,theory(equality)]) ).

cnf(1302,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1301,theory(equality)]) ).

cnf(1303,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,1222,theory(equality)]) ).

cnf(1304,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1303,theory(equality)]) ).

cnf(1305,negated_conjecture,
    ( hskp28
    | hskp26
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[189,1222,theory(equality)]) ).

cnf(1306,negated_conjecture,
    ( hskp28
    | hskp26
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1305,theory(equality)]) ).

cnf(1307,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[171,1222,theory(equality)]) ).

cnf(1308,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1307,theory(equality)]) ).

cnf(1309,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1222,theory(equality)]) ).

cnf(1310,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1309,theory(equality)]) ).

cnf(1311,negated_conjecture,
    ( hskp21
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,1222,theory(equality)]) ).

cnf(1312,negated_conjecture,
    ( hskp21
    | hskp8
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1311,theory(equality)]) ).

cnf(1313,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,1222,theory(equality)]) ).

cnf(1314,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1313,theory(equality)]) ).

cnf(1315,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[173,1222,theory(equality)]) ).

cnf(1316,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1315,theory(equality)]) ).

cnf(1317,negated_conjecture,
    ( hskp30
    | hskp23
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[178,1222,theory(equality)]) ).

cnf(1318,negated_conjecture,
    ( hskp30
    | hskp23
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1317,theory(equality)]) ).

cnf(1319,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[168,1222,theory(equality)]) ).

cnf(1320,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1319,theory(equality)]) ).

cnf(1321,negated_conjecture,
    ( hskp30
    | hskp11
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,1222,theory(equality)]) ).

cnf(1322,negated_conjecture,
    ( hskp30
    | hskp11
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1321,theory(equality)]) ).

cnf(1323,negated_conjecture,
    ( hskp30
    | hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[162,1222,theory(equality)]) ).

cnf(1324,negated_conjecture,
    ( hskp30
    | hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1323,theory(equality)]) ).

cnf(1325,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[154,1222,theory(equality)]) ).

cnf(1326,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1325,theory(equality)]) ).

cnf(1327,negated_conjecture,
    ( hskp17
    | hskp6
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,1222,theory(equality)]) ).

cnf(1328,negated_conjecture,
    ( hskp17
    | hskp6
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1327,theory(equality)]) ).

cnf(1329,negated_conjecture,
    ( hskp25
    | c3_1(X1)
    | hskp3
    | c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1222,theory(equality)]) ).

cnf(1330,negated_conjecture,
    ( hskp25
    | c3_1(X1)
    | hskp3
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1329,theory(equality)]) ).

cnf(1331,negated_conjecture,
    ( hskp24
    | c3_1(X1)
    | hskp3
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1222,theory(equality)]) ).

cnf(1332,negated_conjecture,
    ( hskp24
    | c3_1(X1)
    | hskp3
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1331,theory(equality)]) ).

cnf(1333,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | hskp3
    | c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,1222,theory(equality)]) ).

cnf(1334,negated_conjecture,
    ( hskp14
    | c3_1(X1)
    | hskp3
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1333,theory(equality)]) ).

cnf(1335,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[155,1222,theory(equality)]) ).

cnf(1336,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1335,theory(equality)]) ).

cnf(1339,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | $false ),
    inference(rw,[status(thm)],[144,1222,theory(equality)]) ).

cnf(1340,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[1339,theory(equality)]) ).

cnf(1341,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[192,1222,theory(equality)]) ).

cnf(1342,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1341,theory(equality)]) ).

cnf(1343,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[163,1222,theory(equality)]) ).

cnf(1344,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1343,theory(equality)]) ).

cnf(1377,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(a4)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a4)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1224,135,theory(equality)]) ).

cnf(1382,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(a30)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a30)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1224,76,theory(equality)]) ).

cnf(1388,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(a20)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a20)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1224,19,theory(equality)]) ).

cnf(1390,negated_conjecture,
    ( hskp16
    | ~ hskp3
    | ~ c3_1(a6)
    | ~ c1_1(a6) ),
    inference(spm,[status(thm)],[126,1342,theory(equality)]) ).

cnf(1393,negated_conjecture,
    ( hskp16
    | ~ hskp10
    | ~ c3_1(a17)
    | ~ c1_1(a17) ),
    inference(spm,[status(thm)],[98,1342,theory(equality)]) ).

cnf(1395,negated_conjecture,
    ( hskp16
    | ~ hskp12
    | ~ c3_1(a24)
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,1342,theory(equality)]) ).

cnf(1397,negated_conjecture,
    ( hskp16
    | ~ hskp20
    | ~ c3_1(a36)
    | ~ c1_1(a36) ),
    inference(spm,[status(thm)],[58,1342,theory(equality)]) ).

cnf(1404,negated_conjecture,
    ( hskp16
    | ~ hskp3
    | ~ c1_1(a6) ),
    inference(csr,[status(thm)],[1390,127]) ).

cnf(1409,negated_conjecture,
    ( hskp16
    | ~ hskp10
    | ~ c3_1(a17) ),
    inference(csr,[status(thm)],[1393,100]) ).

cnf(1414,negated_conjecture,
    ( hskp12
    | c3_1(a13)
    | c0_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1344,108,theory(equality)]) ).

cnf(1415,negated_conjecture,
    ( hskp12
    | c3_1(a17)
    | c0_1(a17)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1344,100,theory(equality)]) ).

cnf(1417,negated_conjecture,
    ( hskp12
    | c3_1(a29)
    | c0_1(a29)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1344,80,theory(equality)]) ).

cnf(1418,negated_conjecture,
    ( hskp12
    | c3_1(a33)
    | c0_1(a33)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1344,68,theory(equality)]) ).

cnf(1419,negated_conjecture,
    ( hskp12
    | c3_1(a35)
    | c0_1(a35)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1344,64,theory(equality)]) ).

cnf(1428,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c3_1(a24)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a24)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1226,92,theory(equality)]) ).

cnf(1435,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c3_1(a76)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a76)
    | ~ c0_1(X1)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1226,15,theory(equality)]) ).

cnf(1436,negated_conjecture,
    ( hskp16
    | ~ hskp12
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[1395,92]) ).

cnf(1437,negated_conjecture,
    ( hskp16
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1436,91]) ).

cnf(1440,negated_conjecture,
    ( hskp16
    | ~ hskp20
    | ~ c3_1(a36) ),
    inference(csr,[status(thm)],[1397,59]) ).

cnf(1448,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(a4)
    | ~ c0_1(a4)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1286,135,theory(equality)]) ).

cnf(1458,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(a8)
    | ~ c0_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1286,23,theory(equality)]) ).

cnf(1459,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(a20)
    | ~ c0_1(a20)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1286,19,theory(equality)]) ).

cnf(1464,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c3_1(a13)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a13)
    | ~ c1_1(X2)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1228,107,theory(equality)]) ).

cnf(1471,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c3_1(a8)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a8)
    | ~ c1_1(X2)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1228,23,theory(equality)]) ).

cnf(1472,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ c3_1(a20)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a20)
    | ~ c1_1(X2)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1228,19,theory(equality)]) ).

cnf(1476,negated_conjecture,
    ( hskp12
    | c3_1(a13)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1414,106]) ).

cnf(1477,negated_conjecture,
    ( hskp12
    | c3_1(a17)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1415,99]) ).

cnf(1478,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1409,1477,theory(equality)]) ).

cnf(1479,negated_conjecture,
    ( hskp16
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1478,1437]) ).

cnf(1480,negated_conjecture,
    ( hskp12
    | c0_1(a29)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[1417,78]) ).

cnf(1481,negated_conjecture,
    ( hskp12
    | c0_1(a33)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[1418,66]) ).

cnf(1482,negated_conjecture,
    ( hskp12
    | c3_1(a35)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1419,63]) ).

cnf(1483,negated_conjecture,
    ( hskp12
    | ~ hskp19 ),
    inference(csr,[status(thm)],[1482,62]) ).

cnf(1488,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(a24)
    | ~ c0_1(a24)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1288,92,theory(equality)]) ).

cnf(1492,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(a36)
    | ~ c0_1(a36)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1288,59,theory(equality)]) ).

cnf(1493,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(a2)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1288,27,theory(equality)]) ).

cnf(1495,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1288,15,theory(equality)]) ).

cnf(1501,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c3_1(a30)
    | ~ c2_1(X2)
    | ~ c0_1(a30)
    | ~ c0_1(X2)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1230,76,theory(equality)]) ).

cnf(1507,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c3_1(a20)
    | ~ c2_1(X2)
    | ~ c0_1(a20)
    | ~ c0_1(X2)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1230,19,theory(equality)]) ).

cnf(1517,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ c3_1(a4)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[1448,136]) ).

cnf(1533,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c1_1(a2)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1290,26,theory(equality)]) ).

cnf(1534,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ c1_1(a8)
    | ~ c0_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1290,23,theory(equality)]) ).

cnf(1536,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp16
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1290,1342,theory(equality)]) ).

cnf(1540,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | c0_1(a13)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(a13)
    | ~ c0_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1232,107,theory(equality)]) ).

cnf(1566,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ hskp29
    | ~ c0_1(a8) ),
    inference(csr,[status(thm)],[1458,22]) ).

cnf(1575,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(a36)
    | ~ c0_1(a36)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1292,59,theory(equality)]) ).

cnf(1577,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(a8)
    | ~ c0_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1292,24,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1292,15,theory(equality)]) ).

cnf(1580,negated_conjecture,
    ( c3_1(a12)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(a12)
    | ~ c0_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1234,111,theory(equality)]) ).

cnf(1584,negated_conjecture,
    ( c3_1(a29)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(a29)
    | ~ c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1234,80,theory(equality)]) ).

cnf(1587,negated_conjecture,
    ( c3_1(a36)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(a36)
    | ~ c0_1(X1)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1234,59,theory(equality)]) ).

cnf(1591,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ hskp30
    | ~ c3_1(a20) ),
    inference(csr,[status(thm)],[1459,20]) ).

cnf(1592,negated_conjecture,
    ( hskp31
    | hskp28
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1591,18]) ).

cnf(1605,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[1488,91]) ).

cnf(1618,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ c3_1(a2)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1294,26,theory(equality)]) ).

cnf(1620,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ c3_1(a20)
    | ~ c0_1(a20)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1294,19,theory(equality)]) ).

cnf(1627,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(a30)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(a30)
    | ~ c1_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1236,76,theory(equality)]) ).

cnf(1638,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp20
    | ~ c3_1(a36) ),
    inference(csr,[status(thm)],[1492,60]) ).

cnf(1639,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp28
    | ~ c3_1(a2) ),
    inference(csr,[status(thm)],[1493,28]) ).

cnf(1640,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp31
    | ~ c3_1(a76) ),
    inference(csr,[status(thm)],[1495,16]) ).

cnf(1641,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp31 ),
    inference(csr,[status(thm)],[1640,14]) ).

cnf(1662,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1296,15,theory(equality)]) ).

cnf(1665,negated_conjecture,
    ( c3_1(a10)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(a10)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1238,116,theory(equality)]) ).

cnf(1671,negated_conjecture,
    ( c3_1(a39)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(a39)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1238,56,theory(equality)]) ).

cnf(1689,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ hskp28
    | ~ c1_1(a2) ),
    inference(csr,[status(thm)],[1533,28]) ).

cnf(1690,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1689,27]) ).

cnf(1691,negated_conjecture,
    ( hskp27
    | hskp18
    | ~ hskp29
    | ~ c0_1(a8) ),
    inference(csr,[status(thm)],[1534,24]) ).

cnf(1698,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c1_1(a32)
    | ~ c0_1(a32)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1298,71,theory(equality)]) ).

cnf(1699,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c1_1(a33)
    | ~ c0_1(a33)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1298,67,theory(equality)]) ).

cnf(1702,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ c1_1(a8)
    | ~ c0_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1298,23,theory(equality)]) ).

cnf(1714,negated_conjecture,
    ( hskp21
    | ~ c3_1(a2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a2)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1240,26,theory(equality)]) ).

cnf(1715,negated_conjecture,
    ( hskp21
    | ~ c3_1(a8)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a8)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1240,23,theory(equality)]) ).

cnf(1716,negated_conjecture,
    ( hskp21
    | ~ c3_1(a20)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a20)
    | ~ c0_1(X1)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1240,19,theory(equality)]) ).

cnf(1745,negated_conjecture,
    ( hskp25
    | hskp9
    | ~ c3_1(a8)
    | ~ c1_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1300,23,theory(equality)]) ).

cnf(1751,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | c0_1(a13)
    | ~ c1_1(X1)
    | ~ c1_1(a13)
    | ~ c0_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1242,107,theory(equality)]) ).

cnf(1767,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp20
    | ~ c3_1(a36) ),
    inference(csr,[status(thm)],[1575,60]) ).

cnf(1769,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp29
    | ~ c0_1(a8) ),
    inference(csr,[status(thm)],[1577,22]) ).

cnf(1770,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp31
    | ~ c3_1(a76) ),
    inference(csr,[status(thm)],[1578,16]) ).

cnf(1771,negated_conjecture,
    ( hskp24
    | hskp14
    | ~ hskp31 ),
    inference(csr,[status(thm)],[1770,14]) ).

cnf(1776,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ c3_1(a13)
    | ~ c1_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1302,107,theory(equality)]) ).

cnf(1783,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ c3_1(a8)
    | ~ c1_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1302,23,theory(equality)]) ).

cnf(1797,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(a20)
    | ~ c1_1(X1)
    | ~ c0_1(a20)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1244,19,theory(equality)]) ).

cnf(1822,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c3_1(a24)
    | ~ c0_1(a24)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1304,92,theory(equality)]) ).

cnf(1827,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ c3_1(a2)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1304,27,theory(equality)]) ).

cnf(1841,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ c0_1(X1)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1246,15,theory(equality)]) ).

cnf(1845,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp28
    | ~ c3_1(a2) ),
    inference(csr,[status(thm)],[1618,28]) ).

cnf(1847,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp30
    | ~ c3_1(a20) ),
    inference(csr,[status(thm)],[1620,20]) ).

cnf(1848,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1847,18]) ).

cnf(1864,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp12
    | ~ c1_1(a24)
    | ~ c0_1(a24) ),
    inference(spm,[status(thm)],[90,1306,theory(equality)]) ).

cnf(1865,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp15
    | ~ c1_1(a29)
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[79,1306,theory(equality)]) ).

cnf(1874,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp28
    | hskp26
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1290,1306,theory(equality)]) ).

cnf(1879,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp26
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1298,1306,theory(equality)]) ).

cnf(1892,negated_conjecture,
    ( hskp17
    | c3_1(a33)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a33)
    | ~ c0_1(X1)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1248,67,theory(equality)]) ).

cnf(1921,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(a13)
    | ~ c1_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1308,107,theory(equality)]) ).

cnf(1926,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(a39)
    | ~ c1_1(a39)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1308,56,theory(equality)]) ).

cnf(1928,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(a8)
    | ~ c1_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1308,23,theory(equality)]) ).

cnf(1937,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(a30)
    | ~ c3_1(a30)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1250,76,theory(equality)]) ).

cnf(1950,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[1864,92]) ).

cnf(1951,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[1865,80]) ).

cnf(1957,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a7)
    | ~ c3_1(a7)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1310,124,theory(equality)]) ).

cnf(1959,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a13)
    | ~ c3_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1310,108,theory(equality)]) ).

cnf(1960,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a17)
    | ~ c3_1(a17)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1310,100,theory(equality)]) ).

cnf(1961,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a24)
    | ~ c3_1(a24)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1310,92,theory(equality)]) ).

cnf(1967,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a8)
    | ~ c3_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1310,24,theory(equality)]) ).

cnf(1980,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ c3_1(a20)
    | ~ c1_1(X1)
    | ~ c0_1(a20)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1252,19,theory(equality)]) ).

cnf(1997,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp0
    | ~ c3_1(a1)
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[139,1312,theory(equality)]) ).

cnf(2004,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp16
    | ~ c3_1(a30)
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[74,1312,theory(equality)]) ).

cnf(2006,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp25
    | ~ c3_1(a54)
    | ~ c0_1(a54) ),
    inference(spm,[status(thm)],[38,1312,theory(equality)]) ).

cnf(2009,negated_conjecture,
    ( hskp16
    | hskp21
    | hskp8
    | ~ hskp3
    | ~ c3_1(a6)
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[1404,1312,theory(equality)]) ).

cnf(2013,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp21
    | hskp8
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1288,1312,theory(equality)]) ).

cnf(2025,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a12)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1254,111,theory(equality)]) ).

cnf(2033,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1254,27,theory(equality)]) ).

cnf(2035,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1254,15,theory(equality)]) ).

cnf(2037,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1997,140]) ).

cnf(2045,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ hskp31
    | ~ c3_1(a76) ),
    inference(csr,[status(thm)],[1662,16]) ).

cnf(2046,negated_conjecture,
    ( hskp26
    | hskp12
    | ~ hskp31 ),
    inference(csr,[status(thm)],[2045,14]) ).

cnf(2047,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp24 ),
    inference(spm,[status(thm)],[2046,13,theory(equality)]) ).

cnf(2048,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp28
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2046,1592,theory(equality)]) ).

cnf(2050,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp3
    | ~ c3_1(a6)
    | ~ c1_1(a6) ),
    inference(spm,[status(thm)],[126,1314,theory(equality)]) ).

cnf(2053,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp10
    | ~ c3_1(a17)
    | ~ c1_1(a17) ),
    inference(spm,[status(thm)],[98,1314,theory(equality)]) ).

cnf(2055,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp12
    | ~ c3_1(a24)
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,1314,theory(equality)]) ).

cnf(2057,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp20
    | ~ c3_1(a36)
    | ~ c1_1(a36) ),
    inference(spm,[status(thm)],[58,1314,theory(equality)]) ).

cnf(2059,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp24
    | ~ c3_1(a52)
    | ~ c1_1(a52) ),
    inference(spm,[status(thm)],[42,1314,theory(equality)]) ).

cnf(2074,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp28
    | hskp7
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1302,1314,theory(equality)]) ).

cnf(2090,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ c3_1(a8)
    | ~ c2_1(X1)
    | ~ c1_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1256,23,theory(equality)]) ).

cnf(2104,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp16
    | ~ c0_1(a30) ),
    inference(csr,[status(thm)],[2004,75]) ).

cnf(2117,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a13)
    | ~ c3_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1316,107,theory(equality)]) ).

cnf(2118,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a28)
    | ~ c3_1(a28)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1316,84,theory(equality)]) ).

cnf(2119,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a30)
    | ~ c3_1(a30)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1316,76,theory(equality)]) ).

cnf(2124,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a8)
    | ~ c3_1(a8)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1316,23,theory(equality)]) ).

cnf(2134,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c1_1(a30)
    | c0_1(X1)
    | ~ c3_1(a30)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1258,76,theory(equality)]) ).

cnf(2147,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp25
    | ~ c3_1(a54) ),
    inference(csr,[status(thm)],[2006,40]) ).

cnf(2148,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2147,39]) ).

cnf(2162,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a1)
    | ~ hskp0
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[138,1318,theory(equality)]) ).

cnf(2163,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a6)
    | ~ hskp3
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[126,1318,theory(equality)]) ).

cnf(2167,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a21)
    | ~ hskp11
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[95,1318,theory(equality)]) ).

cnf(2173,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a65)
    | ~ hskp27
    | ~ c0_1(a65) ),
    inference(spm,[status(thm)],[30,1318,theory(equality)]) ).

cnf(2199,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(a26)
    | c0_1(a26)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1260,88,theory(equality)]) ).

cnf(2213,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp3
    | ~ c1_1(a6) ),
    inference(csr,[status(thm)],[2050,127]) ).

cnf(2214,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp21
    | hskp8
    | ~ hskp3
    | ~ c3_1(a6)
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[2213,1312,theory(equality)]) ).

cnf(2221,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp17
    | ~ c1_1(a32) ),
    inference(csr,[status(thm)],[1698,72]) ).

cnf(2223,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp18
    | ~ c0_1(a33) ),
    inference(csr,[status(thm)],[1699,68]) ).

cnf(2224,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp12
    | ~ hskp18 ),
    inference(spm,[status(thm)],[2223,1481,theory(equality)]) ).

cnf(2228,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(a10)
    | c0_1(a10)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1320,116,theory(equality)]) ).

cnf(2229,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(a13)
    | c0_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1320,107,theory(equality)]) ).

cnf(2234,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(a39)
    | c0_1(a39)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1320,56,theory(equality)]) ).

cnf(2256,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp10
    | ~ c3_1(a17) ),
    inference(csr,[status(thm)],[2053,100]) ).

cnf(2257,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2256,1477,theory(equality)]) ).

cnf(2261,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp12
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[2055,92]) ).

cnf(2262,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2261,91]) ).

cnf(2266,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp29
    | ~ c0_1(a8) ),
    inference(csr,[status(thm)],[1702,24]) ).

cnf(2271,negated_conjecture,
    ( hskp30
    | hskp11
    | c0_1(a9)
    | ~ hskp5
    | ~ c3_1(a9) ),
    inference(spm,[status(thm)],[118,1322,theory(equality)]) ).

cnf(2275,negated_conjecture,
    ( hskp30
    | hskp11
    | c0_1(a24)
    | ~ hskp12
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[90,1322,theory(equality)]) ).

cnf(2279,negated_conjecture,
    ( hskp30
    | hskp11
    | c0_1(a52)
    | ~ hskp24
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,1322,theory(equality)]) ).

cnf(2305,negated_conjecture,
    ( hskp21
    | c3_1(a12)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(a12)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1264,111,theory(equality)]) ).

cnf(2313,negated_conjecture,
    ( hskp21
    | c3_1(a2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1264,27,theory(equality)]) ).

cnf(2320,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp20
    | ~ c3_1(a36) ),
    inference(csr,[status(thm)],[2057,59]) ).

cnf(2324,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp24
    | ~ c1_1(a52) ),
    inference(csr,[status(thm)],[2059,44]) ).

cnf(2340,negated_conjecture,
    ( hskp30
    | hskp8
    | c3_1(a29)
    | c0_1(a29)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1324,80,theory(equality)]) ).

cnf(2342,negated_conjecture,
    ( hskp30
    | hskp8
    | c3_1(a35)
    | c0_1(a35)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1324,64,theory(equality)]) ).

cnf(2356,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c3_1(a39)
    | c2_1(X1)
    | c0_1(a39)
    | ~ c1_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1266,56,theory(equality)]) ).

cnf(2368,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2162,140]) ).

cnf(2369,negated_conjecture,
    ( hskp30
    | hskp23
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2368,139]) ).

cnf(2370,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a6)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2163,128]) ).

cnf(2371,negated_conjecture,
    ( hskp16
    | hskp30
    | hskp23
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1404,2370,theory(equality)]) ).

cnf(2392,negated_conjecture,
    ( hskp8
    | hskp7
    | c0_1(a17)
    | ~ hskp10
    | ~ c1_1(a17) ),
    inference(spm,[status(thm)],[98,1326,theory(equality)]) ).

cnf(2416,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(X1)
    | hskp8
    | hskp7
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1308,1326,theory(equality)]) ).

cnf(2430,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c2_1(a52)
    | c1_1(X1)
    | c0_1(a52)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1268,44,theory(equality)]) ).

cnf(2455,negated_conjecture,
    ( hskp17
    | hskp6
    | c1_1(a6)
    | ~ hskp3
    | ~ c3_1(a6) ),
    inference(spm,[status(thm)],[126,1328,theory(equality)]) ).

cnf(2464,negated_conjecture,
    ( hskp17
    | hskp6
    | c1_1(a52)
    | ~ hskp24
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,1328,theory(equality)]) ).

cnf(2492,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c3_1(a10)
    | c2_1(X1)
    | c1_1(a10)
    | ~ c1_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1270,116,theory(equality)]) ).

cnf(2509,negated_conjecture,
    ( hskp30
    | hskp23
    | c1_1(a21)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2167,96]) ).

cnf(2541,negated_conjecture,
    ( hskp25
    | c3_1(a21)
    | hskp3
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(spm,[status(thm)],[95,1330,theory(equality)]) ).

cnf(2544,negated_conjecture,
    ( hskp25
    | c3_1(a36)
    | hskp3
    | ~ hskp20
    | ~ c1_1(a36) ),
    inference(spm,[status(thm)],[58,1330,theory(equality)]) ).

cnf(2578,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a30)
    | c1_1(X1)
    | ~ c3_1(a30)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1272,76,theory(equality)]) ).

cnf(2602,negated_conjecture,
    ( hskp30
    | hskp23
    | ~ hskp27
    | ~ c0_1(a65) ),
    inference(csr,[status(thm)],[2173,31]) ).

cnf(2603,negated_conjecture,
    ( hskp25
    | hskp9
    | ~ hskp29
    | ~ c3_1(a8) ),
    inference(csr,[status(thm)],[1745,24]) ).

cnf(2604,negated_conjecture,
    ( hskp25
    | hskp9
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2603,22]) ).

cnf(2605,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp19
    | ~ hskp31 ),
    inference(spm,[status(thm)],[2604,1641,theory(equality)]) ).

cnf(2606,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp19
    | hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[2148,2605,theory(equality)]) ).

cnf(2607,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp9
    | hskp8
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1483,2606,theory(equality)]) ).

cnf(2608,negated_conjecture,
    ( hskp24
    | c3_1(a1)
    | hskp3
    | ~ hskp0
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[138,1332,theory(equality)]) ).

cnf(2611,negated_conjecture,
    ( hskp24
    | c3_1(a15)
    | hskp3
    | ~ hskp9
    | ~ c0_1(a15) ),
    inference(spm,[status(thm)],[103,1332,theory(equality)]) ).

cnf(2613,negated_conjecture,
    ( hskp24
    | c3_1(a21)
    | hskp3
    | ~ hskp11
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[95,1332,theory(equality)]) ).

cnf(2615,negated_conjecture,
    ( hskp24
    | c3_1(a29)
    | hskp3
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[79,1332,theory(equality)]) ).

cnf(2616,negated_conjecture,
    ( hskp24
    | c3_1(a36)
    | hskp3
    | ~ hskp20
    | ~ c0_1(a36) ),
    inference(spm,[status(thm)],[58,1332,theory(equality)]) ).

cnf(2652,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c2_1(a52)
    | c1_1(X1)
    | c0_1(a52)
    | ~ c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1274,44,theory(equality)]) ).

cnf(2660,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp9
    | hskp8
    | hskp24 ),
    inference(spm,[status(thm)],[2607,13,theory(equality)]) ).

cnf(2676,negated_conjecture,
    ( hskp14
    | c3_1(a13)
    | hskp3
    | c0_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1334,107,theory(equality)]) ).

cnf(2681,negated_conjecture,
    ( hskp14
    | c3_1(a39)
    | hskp3
    | c0_1(a39)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1334,56,theory(equality)]) ).

cnf(2699,negated_conjecture,
    ( hskp6
    | c3_1(a29)
    | c2_1(X1)
    | c0_1(a29)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1276,80,theory(equality)]) ).

cnf(2701,negated_conjecture,
    ( hskp6
    | c3_1(a35)
    | c2_1(X1)
    | c0_1(a35)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1276,64,theory(equality)]) ).

cnf(2712,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp5
    | ~ c3_1(a9) ),
    inference(csr,[status(thm)],[2271,120]) ).

cnf(2718,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[1776,108]) ).

cnf(2719,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2718,1476]) ).

cnf(2728,negated_conjecture,
    ( hskp9
    | c0_1(a24)
    | hskp0
    | ~ hskp12
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,1336,theory(equality)]) ).

cnf(2729,negated_conjecture,
    ( hskp9
    | c0_1(a29)
    | hskp0
    | ~ hskp15
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,1336,theory(equality)]) ).

cnf(2731,negated_conjecture,
    ( hskp9
    | c0_1(a40)
    | hskp0
    | ~ hskp22
    | ~ c1_1(a40) ),
    inference(spm,[status(thm)],[51,1336,theory(equality)]) ).

cnf(2732,negated_conjecture,
    ( hskp9
    | c0_1(a52)
    | hskp0
    | ~ hskp24
    | ~ c1_1(a52) ),
    inference(spm,[status(thm)],[42,1336,theory(equality)]) ).

cnf(2761,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a4)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ c0_1(a4)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1278,135,theory(equality)]) ).

cnf(2783,negated_conjecture,
    ( hskp30
    | hskp11
    | c0_1(a24)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2275,91]) ).

cnf(2866,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp29
    | ~ c3_1(a8) ),
    inference(csr,[status(thm)],[1783,24]) ).

cnf(2867,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2866,22]) ).

cnf(2868,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp19
    | ~ hskp31 ),
    inference(spm,[status(thm)],[2867,1641,theory(equality)]) ).

cnf(2872,negated_conjecture,
    ( hskp28
    | c1_1(a9)
    | c0_1(a9)
    | hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[118,1340,theory(equality)]) ).

cnf(2873,negated_conjecture,
    ( hskp28
    | c1_1(a15)
    | c0_1(a15)
    | hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[103,1340,theory(equality)]) ).

cnf(2879,negated_conjecture,
    ( hskp28
    | c1_1(a40)
    | c0_1(a40)
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[51,1340,theory(equality)]) ).

cnf(2880,negated_conjecture,
    ( hskp28
    | c1_1(a52)
    | c0_1(a52)
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[42,1340,theory(equality)]) ).

cnf(2881,negated_conjecture,
    ( hskp28
    | c1_1(a65)
    | c0_1(a65)
    | hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[30,1340,theory(equality)]) ).

cnf(2915,negated_conjecture,
    ( c3_1(a29)
    | c3_1(X1)
    | hskp2
    | c2_1(a29)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1282,80,theory(equality)]) ).

cnf(2925,negated_conjecture,
    ( hskp30
    | hskp11
    | c0_1(a52)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2279,44]) ).

cnf(2926,negated_conjecture,
    ( hskp30
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2925,43]) ).

cnf(2931,negated_conjecture,
    ( hskp12
    | hskp2
    | ~ hskp31 ),
    inference(csr,[status(thm)],[2868,1483]) ).

cnf(2932,negated_conjecture,
    ( hskp12
    | hskp2
    | hskp24 ),
    inference(spm,[status(thm)],[2931,13,theory(equality)]) ).

cnf(2940,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c2_1(a52)
    | c1_1(X1)
    | c0_1(a52)
    | c0_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1284,44,theory(equality)]) ).

cnf(2948,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(a4)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ hskp1
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1377,136]) ).

cnf(2960,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(a4)
    | ~ c3_1(a76)
    | ~ c3_1(X1)
    | ~ hskp1
    | ~ c0_1(a76)
    | ~ c0_1(X1)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[2948,15,theory(equality)]) ).

cnf(3006,negated_conjecture,
    ( hskp8
    | hskp7
    | c0_1(a17)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2392,100]) ).

cnf(3007,negated_conjecture,
    ( hskp8
    | hskp7
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3006,99]) ).

cnf(3082,negated_conjecture,
    ( hskp17
    | hskp6
    | c1_1(a6)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2455,127]) ).

cnf(3083,negated_conjecture,
    ( hskp16
    | hskp17
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1404,3082,theory(equality)]) ).

cnf(3105,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a30)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1382,75]) ).

cnf(3117,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp16
    | ~ c3_1(a76)
    | ~ c3_1(X1)
    | ~ c0_1(a30)
    | ~ c0_1(a76)
    | ~ c0_1(X1)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[3105,15,theory(equality)]) ).

cnf(3218,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[1822,91]) ).

cnf(3241,negated_conjecture,
    ( hskp17
    | hskp6
    | c1_1(a52)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2464,44]) ).

cnf(3303,negated_conjecture,
    ( hskp2
    | hskp0
    | ~ hskp28
    | ~ c3_1(a2) ),
    inference(csr,[status(thm)],[1827,28]) ).

cnf(3309,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp30
    | ~ c3_1(a20)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1388,20]) ).

cnf(3310,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp30
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3309,18]) ).

cnf(3315,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp30
    | ~ c3_1(a24)
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3310,92,theory(equality)]) ).

cnf(3336,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[2541,94]) ).

cnf(3341,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp9
    | ~ c0_1(a12)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1879,111,theory(equality)]) ).

cnf(3384,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[3341,112]) ).

cnf(3398,negated_conjecture,
    ( hskp25
    | c3_1(a36)
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2544,59]) ).

cnf(3399,negated_conjecture,
    ( hskp16
    | hskp25
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1440,3398,theory(equality)]) ).

cnf(3400,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp25
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1638,3398,theory(equality)]) ).

cnf(3426,negated_conjecture,
    ( hskp24
    | c3_1(a1)
    | hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2608,140]) ).

cnf(3448,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp9
    | ~ c0_1(a15) ),
    inference(csr,[status(thm)],[2611,102]) ).

cnf(3452,negated_conjecture,
    ( hskp24
    | c3_1(a21)
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2613,96]) ).

cnf(3453,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp11 ),
    inference(csr,[status(thm)],[3452,94]) ).

cnf(3483,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ hskp12
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1428,91]) ).

cnf(3504,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[2615,78]) ).

cnf(3505,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp12
    | ~ hskp15 ),
    inference(spm,[status(thm)],[3504,1480,theory(equality)]) ).

cnf(3522,negated_conjecture,
    ( hskp24
    | c3_1(a36)
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2616,60]) ).

cnf(3523,negated_conjecture,
    ( hskp16
    | hskp24
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1440,3522,theory(equality)]) ).

cnf(3525,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1767,3522,theory(equality)]) ).

cnf(3528,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp24
    | hskp3
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2320,3522,theory(equality)]) ).

cnf(3536,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(a13)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1921,108]) ).

cnf(3537,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3536,106]) ).

cnf(3560,negated_conjecture,
    ( hskp18
    | hskp17
    | ~ hskp21
    | ~ c1_1(a39) ),
    inference(csr,[status(thm)],[1926,55]) ).

cnf(3580,negated_conjecture,
    ( hskp9
    | c0_1(a24)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[2728,92]) ).

cnf(3585,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3218,3580,theory(equality)]) ).

cnf(3613,negated_conjecture,
    ( hskp9
    | c0_1(a29)
    | hskp0
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2729,80]) ).

cnf(3616,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp9
    | hskp0
    | ~ hskp15 ),
    inference(spm,[status(thm)],[3504,3613,theory(equality)]) ).

cnf(3618,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[3616,1848,theory(equality)]) ).

cnf(3619,negated_conjecture,
    ( hskp18
    | hskp17
    | c0_1(a8)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1928,24]) ).

cnf(3621,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp17
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1691,3619,theory(equality)]) ).

cnf(3626,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp18
    | hskp17
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2266,3619,theory(equality)]) ).

cnf(3655,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp22
    | ~ c1_1(a40) ),
    inference(csr,[status(thm)],[2731,52]) ).

cnf(3691,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp24
    | ~ c1_1(a52) ),
    inference(csr,[status(thm)],[2732,43]) ).

cnf(3700,negated_conjecture,
    ( hskp28
    | hskp18
    | hskp17
    | hskp9
    | hskp19
    | ~ hskp31 ),
    inference(spm,[status(thm)],[3626,1641,theory(equality)]) ).

cnf(3710,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ hskp31
    | ~ c3_1(a76)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1435,16]) ).

cnf(3711,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ hskp31
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3710,14]) ).

cnf(3713,negated_conjecture,
    ( c3_1(a12)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ c1_1(X1)
    | ~ c0_1(a12)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[3711,111,theory(equality)]) ).

cnf(3737,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a7)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[1957,123]) ).

cnf(3738,negated_conjecture,
    ( hskp19
    | hskp11
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3737,122]) ).

cnf(3739,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1483,3738,theory(equality)]) ).

cnf(3740,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp12
    | ~ hskp4 ),
    inference(spm,[status(thm)],[3453,3739,theory(equality)]) ).

cnf(3778,negated_conjecture,
    ( hskp19
    | hskp11
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[1959,106]) ).

cnf(3779,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3778,1476,theory(equality)]) ).

cnf(3780,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3779,1483]) ).

cnf(3797,negated_conjecture,
    ( hskp19
    | hskp11
    | ~ hskp10
    | ~ c3_1(a17) ),
    inference(csr,[status(thm)],[1960,99]) ).

cnf(3798,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[3797,1477,theory(equality)]) ).

cnf(3801,negated_conjecture,
    ( hskp12
    | hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3798,1483]) ).

cnf(3839,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a24)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[1961,91]) ).

cnf(3840,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1605,3839,theory(equality)]) ).

cnf(3878,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1464,108]) ).

cnf(3882,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(a13)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(X1)
    | ~ c1_1(a13) ),
    inference(spm,[status(thm)],[3878,107,theory(equality)]) ).

cnf(3951,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a8)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1967,22]) ).

cnf(3958,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp19
    | hskp11
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2266,3951,theory(equality)]) ).

cnf(3997,negated_conjecture,
    ( hskp28
    | c1_1(a9)
    | hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2872,120]) ).

cnf(3998,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3997,119]) ).

cnf(4015,negated_conjecture,
    ( hskp28
    | hskp19
    | hskp11
    | hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[3958,1641,theory(equality)]) ).

cnf(4057,negated_conjecture,
    ( hskp28
    | c0_1(a15)
    | hskp0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2873,104]) ).

cnf(4060,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp28
    | hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[3448,4057,theory(equality)]) ).

cnf(4063,negated_conjecture,
    ( hskp12
    | hskp28
    | hskp11
    | hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1483,4015,theory(equality)]) ).

cnf(4079,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp28
    | hskp12
    | hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[3453,4063,theory(equality)]) ).

cnf(4124,negated_conjecture,
    ( hskp12
    | hskp28
    | hskp18
    | hskp17
    | hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1483,3700,theory(equality)]) ).

cnf(4125,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp29
    | ~ c3_1(a8)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1471,24]) ).

cnf(4126,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp29
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[4125,22]) ).

cnf(4130,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(a13)
    | ~ hskp29
    | ~ c3_1(X1)
    | ~ c1_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4126,107,theory(equality)]) ).

cnf(4137,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(a8)
    | ~ hskp29
    | ~ c3_1(X1)
    | ~ c1_1(a8) ),
    inference(spm,[status(thm)],[4126,23,theory(equality)]) ).

cnf(4155,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[4079,13]) ).

cnf(4156,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp3
    | hskp0
    | hskp12 ),
    inference(spm,[status(thm)],[4060,4155,theory(equality)]) ).

cnf(4161,negated_conjecture,
    ( hskp20
    | hskp4
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[2117,106]) ).

cnf(4162,negated_conjecture,
    ( hskp20
    | hskp4
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4161,1476,theory(equality)]) ).

cnf(4174,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(a20)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1472,18]) ).

cnf(4178,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(a13)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(a20)
    | ~ c1_1(a13)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4174,107,theory(equality)]) ).

cnf(4201,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp12
    | hskp9
    | ~ hskp31 ),
    inference(csr,[status(thm)],[4124,2224]) ).

cnf(4204,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a28)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2118,83]) ).

cnf(4205,negated_conjecture,
    ( hskp20
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[4204,82]) ).

cnf(4207,negated_conjecture,
    ( hskp25
    | hskp16
    | hskp3
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[3399,4205,theory(equality)]) ).

cnf(4208,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | hskp3
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[3400,4205,theory(equality)]) ).

cnf(4215,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp7
    | hskp3
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[3528,4205,theory(equality)]) ).

cnf(4221,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp16
    | hskp4
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2148,4207,theory(equality)]) ).

cnf(4243,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a30)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2119,75]) ).

cnf(4246,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp20
    | hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[2104,4243,theory(equality)]) ).

cnf(4277,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp3
    | hskp21
    | hskp8
    | hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3525,4246,theory(equality)]) ).

cnf(4346,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp19
    | hskp4
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2604,4208,theory(equality)]) ).

cnf(4368,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a8)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2124,22]) ).

cnf(4371,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp20
    | hskp4
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1769,4368,theory(equality)]) ).

cnf(4433,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp7
    | hskp4
    | hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[4215,1771,theory(equality)]) ).

cnf(4437,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp4
    | ~ hskp29 ),
    inference(csr,[status(thm)],[4371,4205]) ).

cnf(4444,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp3
    | hskp4
    | ~ hskp29 ),
    inference(spm,[status(thm)],[3523,4437,theory(equality)]) ).

cnf(4498,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp4
    | hskp3
    | hskp19
    | ~ hskp31 ),
    inference(spm,[status(thm)],[4444,1641,theory(equality)]) ).

cnf(4613,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp16
    | ~ c2_1(X2)
    | ~ c0_1(a30)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1501,75]) ).

cnf(4619,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a30)
    | ~ hskp16
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[4613,76,theory(equality)]) ).

cnf(4639,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp19
    | hskp9
    | hskp4
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2148,4346,theory(equality)]) ).

cnf(4651,negated_conjecture,
    ( hskp16
    | hskp15
    | c0_1(a10)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2228,114]) ).

cnf(4653,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(a13)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2229,106]) ).

cnf(4684,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp3
    | hskp28
    | hskp7
    | ~ hskp31 ),
    inference(spm,[status(thm)],[3740,4433,theory(equality)]) ).

cnf(4743,negated_conjecture,
    ( hskp16
    | hskp15
    | c3_1(a39)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2234,55]) ).

cnf(4744,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp21 ),
    inference(csr,[status(thm)],[4743,54]) ).

cnf(4763,negated_conjecture,
    ( hskp12
    | hskp24
    | hskp16
    | hskp4
    | hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1483,4498,theory(equality)]) ).

cnf(4877,negated_conjecture,
    ( hskp30
    | hskp8
    | c0_1(a29)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2340,78]) ).

cnf(4878,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp30
    | hskp8
    | ~ hskp15 ),
    inference(spm,[status(thm)],[1951,4877,theory(equality)]) ).

cnf(4883,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp30
    | ~ c3_1(a20)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[1507,20]) ).

cnf(4884,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ hskp30
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(csr,[status(thm)],[4883,18]) ).

cnf(4891,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a32)
    | ~ hskp30
    | ~ c0_1(a32)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[4884,71,theory(equality)]) ).

cnf(4896,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(a20)
    | ~ hskp30
    | ~ c0_1(a20) ),
    inference(spm,[status(thm)],[4884,19,theory(equality)]) ).

cnf(4924,negated_conjecture,
    ( hskp30
    | hskp8
    | c3_1(a35)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2342,63]) ).

cnf(4925,negated_conjecture,
    ( hskp30
    | hskp8
    | ~ hskp19 ),
    inference(csr,[status(thm)],[4924,62]) ).

cnf(4930,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[4925,3738,theory(equality)]) ).

cnf(4946,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp30
    | hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[3453,4930,theory(equality)]) ).

cnf(5008,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp16
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1536,15,theory(equality)]) ).

cnf(5066,negated_conjecture,
    ( hskp14
    | c3_1(a13)
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[2676,106]) ).

cnf(5074,negated_conjecture,
    ( hskp20
    | hskp4
    | hskp14
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4161,5066,theory(equality)]) ).

cnf(5085,negated_conjecture,
    ( hskp20
    | hskp4
    | hskp3
    | ~ hskp8 ),
    inference(csr,[status(thm)],[5074,4205]) ).

cnf(5093,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp3
    | hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3525,5085,theory(equality)]) ).

cnf(5118,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[4684,13]) ).

cnf(5119,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[5118,2262]) ).

cnf(5138,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a13)
    | c0_1(X2)
    | ~ hskp8
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1540,108]) ).

cnf(5139,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(X2)
    | ~ hskp8
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5138,106]) ).

cnf(5140,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a7)
    | ~ hskp8
    | ~ c3_1(a7)
    | ~ c0_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[5139,124,theory(equality)]) ).

cnf(5142,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a13)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[5139,108,theory(equality)]) ).

cnf(5144,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a24)
    | ~ hskp8
    | ~ c3_1(a24)
    | ~ c0_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[5139,92,theory(equality)]) ).

cnf(5157,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp12
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[4763,13]) ).

cnf(5158,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[5157,3740]) ).

cnf(5159,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp3 ),
    inference(csr,[status(thm)],[5158,1437]) ).

cnf(5169,negated_conjecture,
    ( hskp14
    | c3_1(a39)
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2681,55]) ).

cnf(5170,negated_conjecture,
    ( hskp14
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[5169,54]) ).

cnf(5246,negated_conjecture,
    ( hskp28
    | c1_1(a40)
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2879,52]) ).

cnf(5247,negated_conjecture,
    ( hskp12
    | c3_1(a40)
    | c0_1(a40)
    | hskp28
    | hskp0
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1344,5246,theory(equality)]) ).

cnf(5275,negated_conjecture,
    ( hskp9
    | hskp0
    | hskp28
    | ~ hskp22 ),
    inference(spm,[status(thm)],[3655,5246,theory(equality)]) ).

cnf(5309,negated_conjecture,
    ( hskp28
    | c1_1(a52)
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2880,43]) ).

cnf(5322,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2324,5309,theory(equality)]) ).

cnf(5340,negated_conjecture,
    ( hskp9
    | hskp0
    | hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[3691,5309,theory(equality)]) ).

cnf(5387,negated_conjecture,
    ( hskp28
    | c0_1(a65)
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2881,31]) ).

cnf(5390,negated_conjecture,
    ( hskp30
    | hskp23
    | hskp28
    | hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2602,5387,theory(equality)]) ).

cnf(5392,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp23
    | ~ hskp27 ),
    inference(csr,[status(thm)],[5390,2369]) ).

cnf(5699,negated_conjecture,
    ( c3_1(a12)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ hskp7
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1580,112]) ).

cnf(5700,negated_conjecture,
    ( c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ hskp7
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5699,110]) ).

cnf(5709,negated_conjecture,
    ( c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a39)
    | ~ hskp7
    | ~ c0_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[5700,56,theory(equality)]) ).

cnf(5866,negated_conjecture,
    ( c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ hskp15
    | ~ c2_1(X2)
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1584,78]) ).

cnf(5870,negated_conjecture,
    ( c3_1(a13)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a13)
    | ~ hskp15
    | ~ c0_1(a29)
    | ~ c0_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5866,107,theory(equality)]) ).

cnf(5875,negated_conjecture,
    ( c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a39)
    | ~ hskp15
    | ~ c0_1(a29)
    | ~ c0_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[5866,56,theory(equality)]) ).

cnf(6083,negated_conjecture,
    ( c3_1(a36)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ hskp20
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1587,60]) ).

cnf(6092,negated_conjecture,
    ( c3_1(a36)
    | c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a39)
    | ~ hskp20
    | ~ c0_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[6083,56,theory(equality)]) ).

cnf(6197,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp8
    | ~ c3_1(a6)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2009,128]) ).

cnf(6198,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[6197,127]) ).

cnf(6487,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c0_1(a30)
    | c0_1(X2)
    | ~ c3_1(a30)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1627,1342]) ).

cnf(6488,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[6487,75,theory(equality)]) ).

cnf(6539,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp16
    | ~ hskp31
    | ~ c3_1(a76) ),
    inference(csr,[status(thm)],[5008,16]) ).

cnf(6540,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp16
    | ~ hskp31 ),
    inference(csr,[status(thm)],[6539,14]) ).

cnf(6563,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp14
    | hskp8
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[4277,5159]) ).

cnf(6564,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp14
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[6563,5093]) ).

cnf(6565,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[6564,5170]) ).

cnf(6588,negated_conjecture,
    ( hskp28
    | hskp12
    | c3_1(a40)
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[5247,52]) ).

cnf(6589,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[6588,50]) ).

cnf(6819,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp18
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1874,1690]) ).

cnf(6824,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp18
    | ~ c0_1(a24)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[6819,92,theory(equality)]) ).

cnf(6916,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c0_1(a10)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp6
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1665,114]) ).

cnf(6919,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a10)
    | c0_1(a10)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[6916,116,theory(equality)]) ).

cnf(7119,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp19
    | hskp8
    | ~ c0_1(a6)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2013,127,theory(equality)]) ).

cnf(7129,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp19
    | hskp8
    | ~ c0_1(a20)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[2013,18,theory(equality)]) ).

cnf(7145,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp19
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[7119,128]) ).

cnf(7146,negated_conjecture,
    ( hskp25
    | hskp9
    | hskp21
    | hskp19
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2604,7145,theory(equality)]) ).

cnf(7178,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[7146,2148]) ).

cnf(7179,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp9
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1483,7178,theory(equality)]) ).

cnf(7180,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp21
    | hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4925,7178,theory(equality)]) ).

cnf(7262,negated_conjecture,
    ( c3_1(a39)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp21
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1671,55]) ).

cnf(7263,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | c0_1(X1)
    | ~ hskp21
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[7262,54]) ).

cnf(7265,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a5)
    | c0_1(a5)
    | c0_1(X1)
    | ~ hskp21
    | ~ c1_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[7263,132,theory(equality)]) ).

cnf(7340,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp19
    | hskp8
    | ~ hskp30 ),
    inference(csr,[status(thm)],[7129,20]) ).

cnf(7442,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp9
    | hskp8
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[4639,7178]) ).

cnf(7444,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp21
    | hskp9
    | hskp4
    | ~ hskp14 ),
    inference(spm,[status(thm)],[4925,7442,theory(equality)]) ).

cnf(7466,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp9
    | hskp8
    | hskp4
    | hskp24
    | hskp3 ),
    inference(spm,[status(thm)],[7444,6565,theory(equality)]) ).

cnf(7501,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | hskp9
    | hskp8
    | hskp4 ),
    inference(csr,[status(thm)],[7466,7180]) ).

cnf(7503,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp8
    | hskp3
    | hskp21
    | hskp9 ),
    inference(spm,[status(thm)],[4946,7501,theory(equality)]) ).

cnf(7504,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[7503,7180]) ).

cnf(7780,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ c3_1(a2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1714,28]) ).

cnf(7790,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ c3_1(a2)
    | ~ c0_1(a2) ),
    inference(spm,[status(thm)],[7780,27,theory(equality)]) ).

cnf(7808,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ c3_1(a2) ),
    inference(csr,[status(thm)],[7790,28]) ).

cnf(7819,negated_conjecture,
    ( hskp21
    | ~ hskp29
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a8)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1715,22]) ).

cnf(7830,negated_conjecture,
    ( hskp21
    | ~ hskp29
    | ~ c3_1(a8)
    | ~ c0_1(a8) ),
    inference(spm,[status(thm)],[7819,24,theory(equality)]) ).

cnf(7852,negated_conjecture,
    ( hskp21
    | ~ hskp29
    | ~ c0_1(a8) ),
    inference(csr,[status(thm)],[7830,22]) ).

cnf(7853,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp17
    | ~ hskp29 ),
    inference(spm,[status(thm)],[7852,3619,theory(equality)]) ).

cnf(7854,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp29 ),
    inference(spm,[status(thm)],[7852,3951,theory(equality)]) ).

cnf(7874,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp17
    | hskp19
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[7853,7145,theory(equality)]) ).

cnf(7875,negated_conjecture,
    ( hskp21
    | hskp18
    | hskp17
    | hskp19
    | hskp8
    | ~ hskp30 ),
    inference(spm,[status(thm)],[7853,7340,theory(equality)]) ).

cnf(7876,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp31 ),
    inference(spm,[status(thm)],[7854,1641,theory(equality)]) ).

cnf(7882,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[7854,3840,theory(equality)]) ).

cnf(7906,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ c3_1(a20)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1716,20]) ).

cnf(7907,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[7906,18]) ).

cnf(7912,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ c3_1(a24)
    | ~ c0_1(a24)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[7907,92,theory(equality)]) ).

cnf(7919,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ c3_1(a76)
    | ~ c0_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[7907,15,theory(equality)]) ).

cnf(7920,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[7907,1312,theory(equality)]) ).

cnf(7956,negated_conjecture,
    ( hskp12
    | hskp21
    | hskp11
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1483,7876,theory(equality)]) ).

cnf(8051,negated_conjecture,
    ( hskp21
    | ~ hskp30
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[7912,91]) ).

cnf(8054,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[8051,3580,theory(equality)]) ).

cnf(8076,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp18
    | hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[7874,3537]) ).

cnf(8078,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp21
    | hskp18
    | hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4925,8076,theory(equality)]) ).

cnf(8081,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | c0_1(a13)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1751,108]) ).

cnf(8082,negated_conjecture,
    ( hskp30
    | c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[8081,106]) ).

cnf(8084,negated_conjecture,
    ( hskp30
    | c3_1(a12)
    | ~ hskp8
    | ~ c0_1(a12)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[8082,111,theory(equality)]) ).

cnf(8088,negated_conjecture,
    ( hskp30
    | c3_1(a29)
    | ~ hskp8
    | ~ c0_1(a29)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[8082,80,theory(equality)]) ).

cnf(8091,negated_conjecture,
    ( hskp30
    | c3_1(a36)
    | ~ hskp8
    | ~ c0_1(a36)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[8082,59,theory(equality)]) ).

cnf(8092,negated_conjecture,
    ( hskp30
    | c3_1(a2)
    | ~ hskp8
    | ~ c0_1(a2)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[8082,27,theory(equality)]) ).

cnf(8097,negated_conjecture,
    ( hskp30
    | c3_1(a21)
    | hskp23
    | ~ hskp8
    | ~ c0_1(a21)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[8082,2509,theory(equality)]) ).

cnf(8108,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp18
    | hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[8078,3537]) ).

cnf(8167,negated_conjecture,
    ( hskp21
    | ~ hskp31
    | ~ hskp30
    | ~ c3_1(a76) ),
    inference(csr,[status(thm)],[7919,16]) ).

cnf(8168,negated_conjecture,
    ( hskp21
    | ~ hskp31
    | ~ hskp30 ),
    inference(csr,[status(thm)],[8167,14]) ).

cnf(8170,negated_conjecture,
    ( hskp21
    | hskp28
    | ~ hskp30 ),
    inference(spm,[status(thm)],[8168,1592,theory(equality)]) ).

cnf(8205,negated_conjecture,
    ( hskp30
    | c3_1(a12)
    | ~ hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[8084,112]) ).

cnf(8206,negated_conjecture,
    ( hskp30
    | ~ hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[8205,110]) ).

cnf(8207,negated_conjecture,
    ( hskp30
    | hskp26
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8206,12,theory(equality)]) ).

cnf(8208,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp8
    | ~ hskp12 ),
    inference(spm,[status(thm)],[8206,2262,theory(equality)]) ).

cnf(8225,negated_conjecture,
    ( hskp30
    | ~ hskp15
    | ~ hskp8
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[8088,78]) ).

cnf(8226,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8225,1480,theory(equality)]) ).

cnf(8228,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp0
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8225,3613,theory(equality)]) ).

cnf(8417,negated_conjecture,
    ( hskp30
    | c3_1(a36)
    | ~ hskp20
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8091,60]) ).

cnf(8418,negated_conjecture,
    ( hskp16
    | hskp30
    | ~ hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1440,8417,theory(equality)]) ).

cnf(8423,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp30
    | ~ hskp20
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2320,8417,theory(equality)]) ).

cnf(8432,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8418,4162,theory(equality)]) ).

cnf(8490,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp20
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8423,8206]) ).

cnf(8491,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8490,4162,theory(equality)]) ).

cnf(8525,negated_conjecture,
    ( hskp30
    | hskp16
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8432,1437]) ).

cnf(8552,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8491,8208]) ).

cnf(8559,negated_conjecture,
    ( hskp30
    | c3_1(a2)
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8092,28]) ).

cnf(8560,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp30
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1639,8559,theory(equality)]) ).

cnf(8562,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp30
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1845,8559,theory(equality)]) ).

cnf(8572,negated_conjecture,
    ( hskp2
    | hskp0
    | hskp30
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3303,8559,theory(equality)]) ).

cnf(8636,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8562,1848]) ).

cnf(8657,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp18
    | hskp17
    | ~ hskp30 ),
    inference(csr,[status(thm)],[7875,3537]) ).

cnf(8752,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp30
    | ~ c0_1(a20) ),
    inference(spm,[status(thm)],[7920,18,theory(equality)]) ).

cnf(8770,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp30 ),
    inference(csr,[status(thm)],[8752,20]) ).

cnf(9205,negated_conjecture,
    ( hskp30
    | hskp23
    | c3_1(a21)
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[8097,96]) ).

cnf(9206,negated_conjecture,
    ( hskp30
    | hskp23
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[9205,94]) ).

cnf(9378,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(a20)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1797,20]) ).

cnf(9379,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[9378,18]) ).

cnf(9384,negated_conjecture,
    ( hskp28
    | c0_1(a17)
    | ~ hskp10
    | ~ hskp30
    | ~ c1_1(a17) ),
    inference(spm,[status(thm)],[98,9379,theory(equality)]) ).

cnf(9386,negated_conjecture,
    ( hskp28
    | c0_1(a24)
    | ~ hskp12
    | ~ hskp30
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,9379,theory(equality)]) ).

cnf(9387,negated_conjecture,
    ( hskp28
    | c0_1(a29)
    | ~ hskp15
    | ~ hskp30
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,9379,theory(equality)]) ).

cnf(9390,negated_conjecture,
    ( hskp28
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp30
    | ~ c1_1(a52) ),
    inference(spm,[status(thm)],[42,9379,theory(equality)]) ).

cnf(9453,negated_conjecture,
    ( hskp28
    | c0_1(a17)
    | ~ hskp30
    | ~ hskp10 ),
    inference(csr,[status(thm)],[9384,100]) ).

cnf(9454,negated_conjecture,
    ( hskp28
    | ~ hskp30
    | ~ hskp10 ),
    inference(csr,[status(thm)],[9453,99]) ).

cnf(9458,negated_conjecture,
    ( hskp28
    | c0_1(a24)
    | ~ hskp30
    | ~ hskp12 ),
    inference(csr,[status(thm)],[9386,92]) ).

cnf(9461,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1950,9458,theory(equality)]) ).

cnf(9466,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp30 ),
    inference(csr,[status(thm)],[9461,2048]) ).

cnf(9531,negated_conjecture,
    ( hskp28
    | c0_1(a29)
    | ~ hskp30
    | ~ hskp15 ),
    inference(csr,[status(thm)],[9387,80]) ).

cnf(9587,negated_conjecture,
    ( hskp28
    | ~ hskp30
    | ~ hskp24
    | ~ c1_1(a52) ),
    inference(csr,[status(thm)],[9390,43]) ).

cnf(9590,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp30
    | ~ hskp24 ),
    inference(spm,[status(thm)],[9587,5309,theory(equality)]) ).

cnf(10327,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp31
    | ~ c3_1(a76)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1841,16]) ).

cnf(10328,negated_conjecture,
    ( hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp31
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[10327,14]) ).

cnf(10329,negated_conjecture,
    ( hskp22
    | c1_1(a1)
    | ~ hskp0
    | ~ hskp31
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[138,10328,theory(equality)]) ).

cnf(10330,negated_conjecture,
    ( hskp22
    | c1_1(a6)
    | ~ hskp3
    | ~ hskp31
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[126,10328,theory(equality)]) ).

cnf(10332,negated_conjecture,
    ( hskp22
    | c1_1(a15)
    | ~ hskp9
    | ~ hskp31
    | ~ c0_1(a15) ),
    inference(spm,[status(thm)],[103,10328,theory(equality)]) ).

cnf(10334,negated_conjecture,
    ( hskp22
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp31
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[95,10328,theory(equality)]) ).

cnf(10340,negated_conjecture,
    ( hskp22
    | c1_1(a65)
    | ~ hskp27
    | ~ hskp31
    | ~ c0_1(a65) ),
    inference(spm,[status(thm)],[30,10328,theory(equality)]) ).

cnf(10397,negated_conjecture,
    ( hskp22
    | c1_1(a1)
    | ~ hskp31
    | ~ hskp0 ),
    inference(csr,[status(thm)],[10329,140]) ).

cnf(10398,negated_conjecture,
    ( hskp22
    | ~ hskp31
    | ~ hskp0 ),
    inference(csr,[status(thm)],[10397,139]) ).

cnf(10468,negated_conjecture,
    ( hskp22
    | c1_1(a6)
    | ~ hskp31
    | ~ hskp3 ),
    inference(csr,[status(thm)],[10330,128]) ).

cnf(10469,negated_conjecture,
    ( hskp16
    | hskp22
    | ~ hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[1404,10468,theory(equality)]) ).

cnf(10481,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp22
    | ~ hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[2213,10468,theory(equality)]) ).

cnf(10536,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | hskp7
    | ~ hskp31
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6589,10481,theory(equality)]) ).

cnf(10603,negated_conjecture,
    ( hskp22
    | ~ hskp31
    | ~ hskp9
    | ~ c0_1(a15) ),
    inference(csr,[status(thm)],[10332,104]) ).

cnf(10605,negated_conjecture,
    ( hskp22
    | hskp28
    | hskp0
    | ~ hskp31
    | ~ hskp9 ),
    inference(spm,[status(thm)],[10603,4057,theory(equality)]) ).

cnf(10642,negated_conjecture,
    ( hskp28
    | hskp22
    | ~ hskp31
    | ~ hskp9 ),
    inference(csr,[status(thm)],[10605,10398]) ).

cnf(10647,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | ~ hskp31
    | ~ hskp9 ),
    inference(spm,[status(thm)],[6589,10642,theory(equality)]) ).

cnf(10674,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | hskp24
    | ~ hskp9 ),
    inference(spm,[status(thm)],[10647,13,theory(equality)]) ).

cnf(10752,negated_conjecture,
    ( hskp22
    | c1_1(a21)
    | ~ hskp31
    | ~ hskp11 ),
    inference(csr,[status(thm)],[10334,96]) ).

cnf(10897,negated_conjecture,
    ( hskp22
    | ~ hskp31
    | ~ hskp27
    | ~ c0_1(a65) ),
    inference(csr,[status(thm)],[10340,31]) ).

cnf(10899,negated_conjecture,
    ( hskp22
    | hskp28
    | hskp0
    | ~ hskp31
    | ~ hskp27 ),
    inference(spm,[status(thm)],[10897,5387,theory(equality)]) ).

cnf(10906,negated_conjecture,
    ( hskp28
    | hskp22
    | ~ hskp31
    | ~ hskp27 ),
    inference(csr,[status(thm)],[10899,10398]) ).

cnf(10908,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp0
    | ~ hskp31
    | ~ hskp27 ),
    inference(spm,[status(thm)],[5275,10906,theory(equality)]) ).

cnf(10911,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | ~ hskp31
    | ~ hskp27 ),
    inference(spm,[status(thm)],[6589,10906,theory(equality)]) ).

cnf(10950,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp0
    | hskp24
    | hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[10908,13,theory(equality)]) ).

cnf(10953,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[10911,13,theory(equality)]) ).

cnf(11098,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp0
    | ~ hskp31
    | ~ hskp3 ),
    inference(csr,[status(thm)],[10536,2262]) ).

cnf(11099,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp0
    | hskp24
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[11098,13,theory(equality)]) ).

cnf(11342,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[10950,5340]) ).

cnf(11355,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[11099,4156]) ).

cnf(11356,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[11355,2262]) ).

cnf(11357,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[11356,5322]) ).

cnf(11421,negated_conjecture,
    ( hskp17
    | c3_1(a33)
    | c2_1(X1)
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1892,68]) ).

cnf(11422,negated_conjecture,
    ( hskp17
    | c2_1(X1)
    | ~ hskp18
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[11421,66]) ).

cnf(11423,negated_conjecture,
    ( hskp17
    | ~ hskp0
    | ~ hskp18
    | ~ c3_1(a1)
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[138,11422,theory(equality)]) ).

cnf(11424,negated_conjecture,
    ( hskp17
    | ~ hskp3
    | ~ hskp18
    | ~ c3_1(a6)
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[126,11422,theory(equality)]) ).

cnf(11429,negated_conjecture,
    ( hskp17
    | ~ hskp12
    | ~ hskp18
    | ~ c3_1(a24)
    | ~ c0_1(a24) ),
    inference(spm,[status(thm)],[90,11422,theory(equality)]) ).

cnf(11431,negated_conjecture,
    ( hskp17
    | ~ hskp20
    | ~ hskp18
    | ~ c3_1(a36)
    | ~ c0_1(a36) ),
    inference(spm,[status(thm)],[58,11422,theory(equality)]) ).

cnf(11434,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp18
    | ~ c3_1(a65)
    | ~ c0_1(a65) ),
    inference(spm,[status(thm)],[30,11422,theory(equality)]) ).

cnf(11485,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ c3_1(a1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[11423,140]) ).

cnf(11486,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp3
    | ~ hskp18
    | ~ hskp0 ),
    inference(spm,[status(thm)],[11485,3426,theory(equality)]) ).

cnf(11530,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ c3_1(a6)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[11424,128]) ).

cnf(11531,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ hskp3 ),
    inference(csr,[status(thm)],[11530,127]) ).

cnf(11533,negated_conjecture,
    ( hskp17
    | ~ hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[11531,3537,theory(equality)]) ).

cnf(11544,negated_conjecture,
    ( hskp17
    | hskp27
    | hskp16
    | ~ hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[11531,6540,theory(equality)]) ).

cnf(11560,negated_conjecture,
    ( hskp17
    | hskp30
    | hskp21
    | ~ hskp3 ),
    inference(spm,[status(thm)],[11531,8108,theory(equality)]) ).

cnf(11788,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[11429,91]) ).

cnf(11791,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | ~ hskp18
    | ~ hskp12 ),
    inference(spm,[status(thm)],[11788,3580,theory(equality)]) ).

cnf(11871,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | ~ hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[11791,3537,theory(equality)]) ).

cnf(12049,negated_conjecture,
    ( hskp17
    | ~ hskp20
    | ~ hskp18
    | ~ c3_1(a36) ),
    inference(csr,[status(thm)],[11431,60]) ).

cnf(12051,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp3
    | ~ hskp20
    | ~ hskp18 ),
    inference(spm,[status(thm)],[12049,3522,theory(equality)]) ).

cnf(12077,negated_conjecture,
    ( hskp24
    | hskp17
    | ~ hskp20
    | ~ hskp18 ),
    inference(csr,[status(thm)],[12051,11531]) ).

cnf(12079,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp18
    | ~ hskp14 ),
    inference(spm,[status(thm)],[12077,4205,theory(equality)]) ).

cnf(12085,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp18
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12077,4437,theory(equality)]) ).

cnf(12186,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp14
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12079,3537,theory(equality)]) ).

cnf(12223,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | hskp19
    | ~ hskp18
    | ~ hskp31 ),
    inference(spm,[status(thm)],[12085,1641,theory(equality)]) ).

cnf(12291,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | hskp3
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12186,6565,theory(equality)]) ).

cnf(12370,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[12291,11533]) ).

cnf(12384,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp18
    | ~ c0_1(a65) ),
    inference(csr,[status(thm)],[11434,32]) ).

cnf(12568,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | c1_1(a30)
    | ~ hskp16
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1937,75]) ).

cnf(12569,negated_conjecture,
    ( hskp15
    | c2_1(X1)
    | ~ hskp16
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[12568,74]) ).

cnf(12571,negated_conjecture,
    ( hskp15
    | ~ hskp3
    | ~ hskp16
    | ~ c1_1(a6)
    | ~ c0_1(a6) ),
    inference(spm,[status(thm)],[126,12569,theory(equality)]) ).

cnf(12575,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ hskp16
    | ~ c1_1(a21)
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[95,12569,theory(equality)]) ).

cnf(12576,negated_conjecture,
    ( hskp15
    | ~ hskp12
    | ~ hskp16
    | ~ c1_1(a24)
    | ~ c0_1(a24) ),
    inference(spm,[status(thm)],[90,12569,theory(equality)]) ).

cnf(12578,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp16
    | ~ c1_1(a36)
    | ~ c0_1(a36) ),
    inference(spm,[status(thm)],[58,12569,theory(equality)]) ).

cnf(12646,negated_conjecture,
    ( hskp15
    | ~ hskp16
    | ~ hskp3
    | ~ c1_1(a6) ),
    inference(csr,[status(thm)],[12571,128]) ).

cnf(12647,negated_conjecture,
    ( hskp15
    | ~ hskp3
    | ~ c1_1(a6) ),
    inference(csr,[status(thm)],[12646,1404]) ).

cnf(12649,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp23
    | ~ hskp3 ),
    inference(spm,[status(thm)],[12647,2370,theory(equality)]) ).

cnf(12651,negated_conjecture,
    ( hskp15
    | hskp22
    | ~ hskp3
    | ~ hskp31 ),
    inference(spm,[status(thm)],[12647,10468,theory(equality)]) ).

cnf(12660,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0
    | hskp15
    | ~ hskp31
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6589,12651,theory(equality)]) ).

cnf(12726,negated_conjecture,
    ( hskp15
    | ~ hskp16
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[12575,96]) ).

cnf(12821,negated_conjecture,
    ( hskp15
    | ~ hskp16
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[12576,92]) ).

cnf(12822,negated_conjecture,
    ( hskp15
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[12821,1437]) ).

cnf(12823,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[12822,2783,theory(equality)]) ).

cnf(12825,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[12822,3580,theory(equality)]) ).

cnf(12827,negated_conjecture,
    ( hskp15
    | hskp28
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[12822,9458,theory(equality)]) ).

cnf(12828,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp30
    | hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3453,12823,theory(equality)]) ).

cnf(12851,negated_conjecture,
    ( hskp30
    | hskp9
    | hskp0
    | ~ hskp8
    | ~ hskp12 ),
    inference(spm,[status(thm)],[8228,12825,theory(equality)]) ).

cnf(12883,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0
    | hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3616,12828,theory(equality)]) ).

cnf(12908,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp16
    | ~ c1_1(a36) ),
    inference(csr,[status(thm)],[12578,60]) ).

cnf(12909,negated_conjecture,
    ( hskp15
    | ~ hskp20
    | ~ hskp16 ),
    inference(csr,[status(thm)],[12908,59]) ).

cnf(12910,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12909,4162,theory(equality)]) ).

cnf(12911,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp16
    | ~ hskp14 ),
    inference(spm,[status(thm)],[12909,4205,theory(equality)]) ).

cnf(12914,negated_conjecture,
    ( hskp15
    | hskp21
    | hskp8
    | hskp4
    | ~ hskp16 ),
    inference(spm,[status(thm)],[12909,4246,theory(equality)]) ).

cnf(12940,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp21
    | hskp8
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[12911,4221,theory(equality)]) ).

cnf(12941,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp14
    | ~ hskp21 ),
    inference(spm,[status(thm)],[12911,4744,theory(equality)]) ).

cnf(12945,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp24
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[12911,5159,theory(equality)]) ).

cnf(13141,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | hskp30
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12910,8525,theory(equality)]) ).

cnf(13267,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp8
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[12914,6198,theory(equality)]) ).

cnf(13504,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[12945,6565]) ).

cnf(13505,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp3
    | hskp15 ),
    inference(spm,[status(thm)],[3740,13504,theory(equality)]) ).

cnf(13507,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[13505,3505]) ).

cnf(13569,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[13141,8226]) ).

cnf(13768,negated_conjecture,
    ( hskp12
    | hskp24
    | hskp17
    | hskp4
    | ~ hskp31
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1483,12223,theory(equality)]) ).

cnf(13790,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp12
    | hskp0
    | hskp24
    | ~ hskp3 ),
    inference(spm,[status(thm)],[12660,13,theory(equality)]) ).

cnf(14035,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp9
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[12883,13507]) ).

cnf(14149,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp30
    | ~ c3_1(a20)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1980,20]) ).

cnf(14150,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp30
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14149,18]) ).

cnf(14156,negated_conjecture,
    ( hskp12
    | c3_1(a21)
    | ~ hskp11
    | ~ hskp30
    | ~ c1_1(a21) ),
    inference(spm,[status(thm)],[95,14150,theory(equality)]) ).

cnf(14158,negated_conjecture,
    ( hskp12
    | c3_1(a29)
    | ~ hskp15
    | ~ hskp30
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,14150,theory(equality)]) ).

cnf(14159,negated_conjecture,
    ( hskp12
    | c3_1(a36)
    | ~ hskp20
    | ~ hskp30
    | ~ c1_1(a36) ),
    inference(spm,[status(thm)],[58,14150,theory(equality)]) ).

cnf(14270,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp8
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[12940,13267]) ).

cnf(14271,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[14270,12941]) ).

cnf(14406,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[14156,94]) ).

cnf(14440,negated_conjecture,
    ( hskp12
    | c3_1(a29)
    | ~ hskp30
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14158,80]) ).

cnf(14441,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp15 ),
    inference(csr,[status(thm)],[14440,78]) ).

cnf(14484,negated_conjecture,
    ( hskp12
    | c3_1(a36)
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[14159,59]) ).

cnf(14485,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1440,14484,theory(equality)]) ).

cnf(14486,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp12
    | ~ hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1638,14484,theory(equality)]) ).

cnf(14487,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp12
    | ~ hskp20
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1767,14484,theory(equality)]) ).

cnf(14503,negated_conjecture,
    ( hskp16
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[14485,1437]) ).

cnf(14504,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp4
    | ~ hskp30
    | ~ hskp8 ),
    inference(spm,[status(thm)],[14503,4162,theory(equality)]) ).

cnf(14599,negated_conjecture,
    ( hskp29
    | hskp12
    | ~ hskp30
    | ~ hskp20 ),
    inference(csr,[status(thm)],[14486,1483]) ).

cnf(14600,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp4
    | ~ hskp30
    | ~ hskp8 ),
    inference(spm,[status(thm)],[14599,4162,theory(equality)]) ).

cnf(14626,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp12
    | hskp4
    | ~ hskp30
    | ~ hskp29 ),
    inference(spm,[status(thm)],[14487,4437,theory(equality)]) ).

cnf(14701,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[14504,8525]) ).

cnf(14702,negated_conjecture,
    ( hskp16
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[14701,1437]) ).

cnf(14706,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp14
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12911,14702,theory(equality)]) ).

cnf(14718,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp14 ),
    inference(csr,[status(thm)],[14706,14271]) ).

cnf(14944,negated_conjecture,
    ( hskp29
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(csr,[status(thm)],[14600,13569]) ).

cnf(14975,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | hskp12
    | hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[7854,14944,theory(equality)]) ).

cnf(15116,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp7
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2025,112]) ).

cnf(15127,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp7
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,15116,theory(equality)]) ).

cnf(15563,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp7 ),
    inference(csr,[status(thm)],[15127,44]) ).

cnf(15564,negated_conjecture,
    ( hskp5
    | ~ hskp24
    | ~ hskp7 ),
    inference(csr,[status(thm)],[15563,43]) ).

cnf(15566,negated_conjecture,
    ( hskp5
    | hskp28
    | ~ hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[15564,2262,theory(equality)]) ).

cnf(15581,negated_conjecture,
    ( hskp28
    | hskp5
    | hskp21
    | ~ hskp12 ),
    inference(spm,[status(thm)],[15566,8,theory(equality)]) ).

cnf(15691,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp28
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2033,28]) ).

cnf(15702,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp28
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,15691,theory(equality)]) ).

cnf(15919,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp12
    | hskp4
    | ~ hskp18 ),
    inference(csr,[status(thm)],[13768,13]) ).

cnf(16022,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2035,16]) ).

cnf(16033,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp31
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,16022,theory(equality)]) ).

cnf(16328,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[13790,13507]) ).

cnf(17075,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[15702,44]) ).

cnf(17076,negated_conjecture,
    ( hskp5
    | ~ hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[17075,43]) ).

cnf(17077,negated_conjecture,
    ( hskp5
    | hskp21
    | ~ hskp28 ),
    inference(spm,[status(thm)],[17076,8,theory(equality)]) ).

cnf(17281,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2074,2262]) ).

cnf(17282,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | ~ c3_1(a7)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[17281,124,theory(equality)]) ).

cnf(17293,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | ~ c3_1(a76)
    | ~ hskp31 ),
    inference(spm,[status(thm)],[17281,15,theory(equality)]) ).

cnf(17303,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | ~ hskp4 ),
    inference(csr,[status(thm)],[17282,123]) ).

cnf(17323,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | hskp30
    | ~ hskp8 ),
    inference(spm,[status(thm)],[17303,8552,theory(equality)]) ).

cnf(17389,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp2
    | ~ hskp8 ),
    inference(csr,[status(thm)],[17323,8206]) ).

cnf(17554,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | ~ hskp31 ),
    inference(csr,[status(thm)],[17293,14]) ).

cnf(17555,negated_conjecture,
    ( hskp28
    | hskp7
    | hskp2
    | hskp24
    | hskp12 ),
    inference(spm,[status(thm)],[17554,13,theory(equality)]) ).

cnf(17560,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp7
    | hskp2 ),
    inference(csr,[status(thm)],[17555,2262]) ).

cnf(17852,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp12
    | hskp4
    | ~ hskp30
    | ~ hskp8 ),
    inference(spm,[status(thm)],[14626,14944,theory(equality)]) ).

cnf(17924,negated_conjecture,
    ( hskp5
    | c0_1(a52)
    | ~ hskp31
    | ~ hskp24 ),
    inference(csr,[status(thm)],[16033,44]) ).

cnf(17925,negated_conjecture,
    ( hskp5
    | ~ hskp31
    | ~ hskp24 ),
    inference(csr,[status(thm)],[17924,43]) ).

cnf(17927,negated_conjecture,
    ( hskp5
    | hskp28
    | ~ hskp24
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17925,1592,theory(equality)]) ).

cnf(17929,negated_conjecture,
    ( hskp5
    | ~ hskp30
    | ~ hskp24 ),
    inference(csr,[status(thm)],[17927,17076]) ).

cnf(17930,negated_conjecture,
    ( hskp5
    | hskp21
    | ~ hskp30 ),
    inference(spm,[status(thm)],[17929,8,theory(equality)]) ).

cnf(18254,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ hskp29
    | ~ c3_1(a8)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2090,24]) ).

cnf(18255,negated_conjecture,
    ( c3_1(X1)
    | hskp3
    | c1_1(X1)
    | ~ hskp29
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[18254,22]) ).

cnf(18262,negated_conjecture,
    ( c3_1(a32)
    | hskp3
    | c1_1(a32)
    | ~ hskp29
    | ~ hskp17 ),
    inference(spm,[status(thm)],[18255,71,theory(equality)]) ).

cnf(18264,negated_conjecture,
    ( c3_1(a39)
    | hskp3
    | c1_1(a39)
    | ~ hskp29
    | ~ hskp21 ),
    inference(spm,[status(thm)],[18255,56,theory(equality)]) ).

cnf(18788,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp12
    | hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[14975,3738]) ).

cnf(18789,negated_conjecture,
    ( hskp21
    | hskp19
    | hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[18788,7882]) ).

cnf(18826,negated_conjecture,
    ( hskp3
    | c1_1(a32)
    | ~ hskp29
    | ~ hskp17 ),
    inference(csr,[status(thm)],[18262,70]) ).

cnf(18838,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp3
    | ~ hskp17
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2221,18826,theory(equality)]) ).

cnf(18940,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp3
    | hskp19
    | ~ hskp17
    | ~ hskp31 ),
    inference(spm,[status(thm)],[18838,1641,theory(equality)]) ).

cnf(19046,negated_conjecture,
    ( hskp3
    | c1_1(a39)
    | ~ hskp29
    | ~ hskp21 ),
    inference(csr,[status(thm)],[18264,54]) ).

cnf(19071,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp3
    | ~ hskp21
    | ~ hskp29 ),
    inference(spm,[status(thm)],[3560,19046,theory(equality)]) ).

cnf(19121,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[19071,7853]) ).

cnf(19122,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp3
    | hskp19
    | ~ hskp31 ),
    inference(spm,[status(thm)],[19121,1641,theory(equality)]) ).

cnf(19548,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c1_1(a30)
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2134,75]) ).

cnf(19549,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[19548,74]) ).

cnf(19558,negated_conjecture,
    ( hskp8
    | c3_1(a39)
    | c0_1(a39)
    | ~ hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19549,56,theory(equality)]) ).

cnf(19784,negated_conjecture,
    ( hskp8
    | c3_1(a39)
    | ~ hskp21
    | ~ hskp16 ),
    inference(csr,[status(thm)],[19558,55]) ).

cnf(19785,negated_conjecture,
    ( hskp8
    | ~ hskp21
    | ~ hskp16 ),
    inference(csr,[status(thm)],[19784,54]) ).

cnf(19786,negated_conjecture,
    ( hskp8
    | ~ hskp21
    | ~ hskp12 ),
    inference(spm,[status(thm)],[19785,1437,theory(equality)]) ).

cnf(19788,negated_conjecture,
    ( hskp8
    | hskp17
    | hskp6
    | ~ hskp21
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19785,3083,theory(equality)]) ).

cnf(19796,negated_conjecture,
    ( hskp8
    | hskp15
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19785,4744,theory(equality)]) ).

cnf(19817,negated_conjecture,
    ( hskp8
    | hskp27
    | hskp17
    | ~ hskp21
    | ~ hskp31
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19785,11544,theory(equality)]) ).

cnf(19828,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[19786,8770,theory(equality)]) ).

cnf(19845,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp26
    | hskp8
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4878,19796,theory(equality)]) ).

cnf(19849,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ hskp30
    | ~ hskp21 ),
    inference(spm,[status(thm)],[14441,19796,theory(equality)]) ).

cnf(19954,negated_conjecture,
    ( hskp12
    | hskp8
    | ~ hskp30 ),
    inference(csr,[status(thm)],[19849,8770]) ).

cnf(19955,negated_conjecture,
    ( hskp8
    | ~ hskp30 ),
    inference(csr,[status(thm)],[19954,19828]) ).

cnf(19962,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp21
    | ~ hskp3 ),
    inference(csr,[status(thm)],[19788,11533]) ).

cnf(19998,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp26
    | ~ hskp21 ),
    inference(csr,[status(thm)],[19845,8207]) ).

cnf(19999,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp21 ),
    inference(csr,[status(thm)],[19998,9466]) ).

cnf(21136,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | c1_1(a26)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2199,87]) ).

cnf(21137,negated_conjecture,
    ( hskp3
    | c2_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[21136,86]) ).

cnf(21144,negated_conjecture,
    ( hskp3
    | ~ hskp12
    | ~ hskp13
    | ~ c1_1(a24)
    | ~ c0_1(a24) ),
    inference(spm,[status(thm)],[90,21137,theory(equality)]) ).

cnf(21145,negated_conjecture,
    ( hskp3
    | ~ hskp15
    | ~ hskp13
    | ~ c1_1(a29)
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[79,21137,theory(equality)]) ).

cnf(21444,negated_conjecture,
    ( hskp3
    | ~ hskp13
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[21144,92]) ).

cnf(21445,negated_conjecture,
    ( hskp3
    | hskp30
    | hskp11
    | ~ hskp13
    | ~ hskp12 ),
    inference(spm,[status(thm)],[21444,2783,theory(equality)]) ).

cnf(21447,negated_conjecture,
    ( hskp3
    | hskp9
    | hskp0
    | ~ hskp13
    | ~ hskp12 ),
    inference(spm,[status(thm)],[21444,3580,theory(equality)]) ).

cnf(21449,negated_conjecture,
    ( hskp3
    | hskp28
    | ~ hskp13
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[21444,9458,theory(equality)]) ).

cnf(21454,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp30
    | ~ hskp13
    | ~ hskp12 ),
    inference(spm,[status(thm)],[3453,21445,theory(equality)]) ).

cnf(21463,negated_conjecture,
    ( hskp9
    | hskp3
    | hskp0
    | hskp24
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[21447,3618,theory(equality)]) ).

cnf(21601,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp3
    | ~ hskp13 ),
    inference(csr,[status(thm)],[21454,13507]) ).

cnf(21715,negated_conjecture,
    ( hskp3
    | ~ hskp15
    | ~ hskp13
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[21145,80]) ).

cnf(21720,negated_conjecture,
    ( hskp3
    | hskp30
    | hskp8
    | ~ hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[21715,4877,theory(equality)]) ).

cnf(21830,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[21720,19955]) ).

cnf(21843,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[21830,19796,theory(equality)]) ).

cnf(22087,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8
    | hskp7
    | ~ c3_1(a6)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2214,128]) ).

cnf(22088,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8
    | hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[22087,127]) ).

cnf(22978,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp12
    | hskp4
    | ~ hskp30 ),
    inference(csr,[status(thm)],[17852,19955]) ).

cnf(22989,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp24
    | hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[14718,22978,theory(equality)]) ).

cnf(22997,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp4
    | ~ hskp30 ),
    inference(csr,[status(thm)],[22989,14441]) ).

cnf(24970,negated_conjecture,
    ( hskp12
    | hskp28
    | hskp9
    | hskp3
    | ~ hskp31
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1483,18940,theory(equality)]) ).

cnf(25342,negated_conjecture,
    ( hskp21
    | c3_1(a12)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2305,112]) ).

cnf(25343,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25342,110]) ).

cnf(25344,negated_conjecture,
    ( hskp21
    | c3_1(a1)
    | c1_1(a1)
    | ~ hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[138,25343,theory(equality)]) ).

cnf(25346,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | c1_1(a9)
    | ~ hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[118,25343,theory(equality)]) ).

cnf(25347,negated_conjecture,
    ( hskp21
    | c3_1(a15)
    | c1_1(a15)
    | ~ hskp9
    | ~ hskp7 ),
    inference(spm,[status(thm)],[103,25343,theory(equality)]) ).

cnf(25349,negated_conjecture,
    ( hskp21
    | c3_1(a21)
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[95,25343,theory(equality)]) ).

cnf(25353,negated_conjecture,
    ( hskp21
    | c3_1(a40)
    | c1_1(a40)
    | ~ hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[51,25343,theory(equality)]) ).

cnf(25431,negated_conjecture,
    ( hskp21
    | c3_1(a1)
    | ~ hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[25344,139]) ).

cnf(25432,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2037,25431,theory(equality)]) ).

cnf(25453,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp28
    | ~ hskp7
    | ~ hskp5 ),
    inference(spm,[status(thm)],[25432,3998,theory(equality)]) ).

cnf(25518,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8
    | ~ hskp5
    | ~ hskp12 ),
    inference(spm,[status(thm)],[25453,2262,theory(equality)]) ).

cnf(25529,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8
    | ~ hskp12 ),
    inference(csr,[status(thm)],[25518,15581]) ).

cnf(25530,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp12 ),
    inference(csr,[status(thm)],[25529,19786]) ).

cnf(25532,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp12 ),
    inference(spm,[status(thm)],[8208,25530,theory(equality)]) ).

cnf(25558,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | ~ hskp7
    | ~ hskp5 ),
    inference(csr,[status(thm)],[25346,119]) ).

cnf(25593,negated_conjecture,
    ( hskp21
    | c3_1(a15)
    | ~ hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25347,104]) ).

cnf(25594,negated_conjecture,
    ( hskp21
    | ~ hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25593,102]) ).

cnf(25595,negated_conjecture,
    ( hskp21
    | hskp24
    | hskp12
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[25594,2660,theory(equality)]) ).

cnf(25596,negated_conjecture,
    ( hskp21
    | hskp28
    | hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[25594,3384,theory(equality)]) ).

cnf(25597,negated_conjecture,
    ( hskp21
    | hskp2
    | hskp0
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[25594,3585,theory(equality)]) ).

cnf(25600,negated_conjecture,
    ( hskp21
    | hskp28
    | hskp0
    | ~ hskp7
    | ~ hskp24 ),
    inference(spm,[status(thm)],[25594,5340,theory(equality)]) ).

cnf(25601,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp8
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[25594,7179,theory(equality)]) ).

cnf(25603,negated_conjecture,
    ( hskp21
    | hskp30
    | hskp24
    | hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[25594,7504,theory(equality)]) ).

cnf(25610,negated_conjecture,
    ( hskp28
    | hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25596,19999]) ).

cnf(25611,negated_conjecture,
    ( hskp28
    | hskp26
    | hskp30 ),
    inference(spm,[status(thm)],[25610,12,theory(equality)]) ).

cnf(25621,negated_conjecture,
    ( hskp28
    | hskp26 ),
    inference(csr,[status(thm)],[25611,9466]) ).

cnf(25624,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp12
    | hskp8
    | hskp28
    | hskp3 ),
    inference(spm,[status(thm)],[25595,5119,theory(equality)]) ).

cnf(25708,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp2
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[25432,25597,theory(equality)]) ).

cnf(25709,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[25600,11357]) ).

cnf(25719,negated_conjecture,
    ( hskp21
    | hskp12
    | hskp8
    | hskp28
    | ~ hskp3 ),
    inference(spm,[status(thm)],[25601,22088,theory(equality)]) ).

cnf(25732,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25603,8206]) ).

cnf(25735,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | hskp28
    | hskp3 ),
    inference(spm,[status(thm)],[25732,5119,theory(equality)]) ).

cnf(25828,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp21
    | hskp3 ),
    inference(csr,[status(thm)],[25735,8170]) ).

cnf(25843,negated_conjecture,
    ( hskp8
    | hskp2
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25708,19786]) ).

cnf(25850,negated_conjecture,
    ( hskp8
    | hskp2
    | hskp28
    | hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[25843,17560,theory(equality)]) ).

cnf(25869,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[25719,25530]) ).

cnf(25974,negated_conjecture,
    ( hskp21
    | c3_1(a2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2313,28]) ).

cnf(25975,negated_conjecture,
    ( hskp21
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[25974,7808]) ).

cnf(25978,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | c1_1(a9)
    | ~ hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[118,25975,theory(equality)]) ).

cnf(25979,negated_conjecture,
    ( hskp21
    | c3_1(a15)
    | c1_1(a15)
    | ~ hskp9
    | ~ hskp28 ),
    inference(spm,[status(thm)],[103,25975,theory(equality)]) ).

cnf(25981,negated_conjecture,
    ( hskp21
    | c3_1(a21)
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[95,25975,theory(equality)]) ).

cnf(25985,negated_conjecture,
    ( hskp21
    | c3_1(a40)
    | c1_1(a40)
    | ~ hskp22
    | ~ hskp28 ),
    inference(spm,[status(thm)],[51,25975,theory(equality)]) ).

cnf(26055,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp8
    | hskp2 ),
    inference(csr,[status(thm)],[25850,2932]) ).

cnf(26079,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp21
    | hskp12
    | hskp8 ),
    inference(csr,[status(thm)],[25624,25869]) ).

cnf(26080,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[26079,25530]) ).

cnf(26093,negated_conjecture,
    ( hskp21
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25349,94]) ).

cnf(26141,negated_conjecture,
    ( hskp15
    | hskp21
    | ~ hskp16
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[12726,26093,theory(equality)]) ).

cnf(26351,negated_conjecture,
    ( hskp21
    | c1_1(a40)
    | ~ hskp22
    | ~ hskp7 ),
    inference(csr,[status(thm)],[25353,50]) ).

cnf(26379,negated_conjecture,
    ( hskp9
    | hskp0
    | hskp21
    | ~ hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[3655,26351,theory(equality)]) ).

cnf(26444,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp22
    | ~ hskp7 ),
    inference(csr,[status(thm)],[26379,25594]) ).

cnf(26448,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp28
    | ~ hskp7
    | ~ hskp31
    | ~ hskp9 ),
    inference(spm,[status(thm)],[26444,10642,theory(equality)]) ).

cnf(26633,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | c1_1(a9)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[25978,17077]) ).

cnf(26634,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | ~ hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[119,26633,theory(equality)]) ).

cnf(26705,negated_conjecture,
    ( hskp21
    | c3_1(a9)
    | ~ hskp28 ),
    inference(csr,[status(thm)],[26634,17077]) ).

cnf(26709,negated_conjecture,
    ( hskp30
    | hskp11
    | hskp21
    | ~ hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[2712,26705,theory(equality)]) ).

cnf(26724,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp11
    | ~ hskp28 ),
    inference(csr,[status(thm)],[26709,17077]) ).

cnf(26725,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp30
    | hskp21
    | ~ hskp28 ),
    inference(spm,[status(thm)],[3453,26724,theory(equality)]) ).

cnf(26807,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | hskp3 ),
    inference(csr,[status(thm)],[26725,25828]) ).

cnf(26817,negated_conjecture,
    ( hskp21
    | c3_1(a15)
    | ~ hskp28
    | ~ hskp9 ),
    inference(csr,[status(thm)],[25979,104]) ).

cnf(26818,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ hskp9 ),
    inference(csr,[status(thm)],[26817,102]) ).

cnf(26825,negated_conjecture,
    ( hskp21
    | hskp30
    | hskp8
    | ~ hskp28
    | ~ hskp3 ),
    inference(spm,[status(thm)],[26818,7180,theory(equality)]) ).

cnf(26826,negated_conjecture,
    ( hskp21
    | hskp30
    | hskp24
    | hskp8
    | ~ hskp28 ),
    inference(spm,[status(thm)],[26818,7504,theory(equality)]) ).

cnf(26827,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp28
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[26818,8054,theory(equality)]) ).

cnf(26920,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[26825,25869]) ).

cnf(26921,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[26920,19955]) ).

cnf(26926,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[26826,26080]) ).

cnf(26927,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[26926,19955]) ).

cnf(26937,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp30
    | ~ hskp12 ),
    inference(csr,[status(thm)],[26827,8170]) ).

cnf(26963,negated_conjecture,
    ( hskp21
    | c1_1(a21)
    | ~ hskp28
    | ~ hskp11 ),
    inference(csr,[status(thm)],[25981,94]) ).

cnf(26985,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp21
    | ~ hskp11
    | ~ hskp28 ),
    inference(spm,[status(thm)],[3336,26963,theory(equality)]) ).

cnf(27038,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp3
    | ~ hskp28
    | ~ hskp11 ),
    inference(spm,[status(thm)],[2148,26985,theory(equality)]) ).

cnf(27126,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp28
    | ~ hskp11 ),
    inference(csr,[status(thm)],[27038,26921]) ).

cnf(27149,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp30
    | ~ hskp28 ),
    inference(spm,[status(thm)],[27126,26724,theory(equality)]) ).

cnf(27150,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp28 ),
    inference(csr,[status(thm)],[27149,19955]) ).

cnf(27151,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ hskp28 ),
    inference(spm,[status(thm)],[19786,27150,theory(equality)]) ).

cnf(27153,negated_conjecture,
    ( hskp8
    | ~ hskp12 ),
    inference(csr,[status(thm)],[27151,25530]) ).

cnf(27312,negated_conjecture,
    ( hskp13
    | c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2356,55]) ).

cnf(27313,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[27312,54]) ).

cnf(27321,negated_conjecture,
    ( hskp13
    | c3_1(a29)
    | ~ hskp15
    | ~ hskp21
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,27313,theory(equality)]) ).

cnf(27400,negated_conjecture,
    ( hskp21
    | c1_1(a40)
    | ~ hskp28
    | ~ hskp22 ),
    inference(csr,[status(thm)],[25985,50]) ).

cnf(27428,negated_conjecture,
    ( hskp9
    | hskp0
    | hskp21
    | ~ hskp22
    | ~ hskp28 ),
    inference(spm,[status(thm)],[3655,27400,theory(equality)]) ).

cnf(27490,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | ~ hskp22 ),
    inference(csr,[status(thm)],[27428,5275]) ).

cnf(27529,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp8
    | ~ hskp31
    | ~ hskp3 ),
    inference(csr,[status(thm)],[19817,26921]) ).

cnf(27530,negated_conjecture,
    ( hskp27
    | hskp17
    | ~ hskp31
    | ~ hskp3 ),
    inference(csr,[status(thm)],[27529,11533]) ).

cnf(27531,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp24
    | hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[27530,13,theory(equality)]) ).

cnf(27538,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp17
    | hskp12 ),
    inference(csr,[status(thm)],[27531,13507]) ).

cnf(27723,negated_conjecture,
    ( hskp13
    | c3_1(a29)
    | ~ hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[27321,80]) ).

cnf(27724,negated_conjecture,
    ( hskp13
    | ~ hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[27723,78]) ).

cnf(27725,negated_conjecture,
    ( hskp13
    | ~ hskp21
    | ~ hskp30 ),
    inference(spm,[status(thm)],[27724,1848,theory(equality)]) ).

cnf(27726,negated_conjecture,
    ( hskp13
    | ~ hskp21
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[27724,8636,theory(equality)]) ).

cnf(27728,negated_conjecture,
    ( hskp13
    | hskp28
    | ~ hskp21
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[27724,12827,theory(equality)]) ).

cnf(27736,negated_conjecture,
    ( hskp13
    | hskp8
    | ~ hskp21 ),
    inference(spm,[status(thm)],[27724,19796,theory(equality)]) ).

cnf(27752,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[21843,27736,theory(equality)]) ).

cnf(27780,negated_conjecture,
    ( hskp13
    | ~ hskp28
    | ~ hskp21 ),
    inference(csr,[status(thm)],[27726,27736]) ).

cnf(27784,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp3
    | ~ hskp28
    | ~ hskp21 ),
    inference(spm,[status(thm)],[21601,27780,theory(equality)]) ).

cnf(27805,negated_conjecture,
    ( hskp28
    | hskp13
    | ~ hskp30
    | ~ hskp21 ),
    inference(csr,[status(thm)],[27728,27725]) ).

cnf(27806,negated_conjecture,
    ( hskp28
    | hskp13
    | ~ hskp30 ),
    inference(csr,[status(thm)],[27805,8170]) ).

cnf(27808,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[21449,27806,theory(equality)]) ).

cnf(27813,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp12 ),
    inference(csr,[status(thm)],[27808,25532]) ).

cnf(27918,negated_conjecture,
    ( hskp30
    | hskp24
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[27784,26807]) ).

cnf(28824,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp7
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2416,3537]) ).

cnf(28825,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp7
    | c0_1(a7)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[28824,124,theory(equality)]) ).

cnf(29015,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[28825,122]) ).

cnf(29023,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp3
    | hskp7
    | ~ hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[11486,29015,theory(equality)]) ).

cnf(29024,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp3
    | ~ hskp4 ),
    inference(spm,[status(thm)],[11531,29015,theory(equality)]) ).

cnf(29816,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[21463,14035]) ).

cnf(29817,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[29816,13507]) ).

cnf(29819,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp0
    | hskp3 ),
    inference(spm,[status(thm)],[10674,29817,theory(equality)]) ).

cnf(29822,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[29819,13507]) ).

cnf(29823,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp3 ),
    inference(csr,[status(thm)],[29822,27813]) ).

cnf(29832,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c2_1(a52)
    | c1_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2430,43]) ).

cnf(29833,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[29832,42]) ).

cnf(29834,negated_conjecture,
    ( hskp10
    | c3_1(a1)
    | ~ hskp0
    | ~ hskp24
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[139,29833,theory(equality)]) ).

cnf(29835,negated_conjecture,
    ( hskp10
    | c3_1(a4)
    | ~ hskp1
    | ~ hskp24
    | ~ c0_1(a4) ),
    inference(spm,[status(thm)],[134,29833,theory(equality)]) ).

cnf(29838,negated_conjecture,
    ( hskp10
    | c3_1(a10)
    | ~ hskp6
    | ~ hskp24
    | ~ c0_1(a10) ),
    inference(spm,[status(thm)],[115,29833,theory(equality)]) ).

cnf(29839,negated_conjecture,
    ( hskp10
    | c3_1(a15)
    | ~ hskp9
    | ~ hskp24
    | ~ c0_1(a15) ),
    inference(spm,[status(thm)],[104,29833,theory(equality)]) ).

cnf(29842,negated_conjecture,
    ( hskp10
    | c3_1(a42)
    | ~ hskp23
    | ~ hskp24
    | ~ c0_1(a42) ),
    inference(spm,[status(thm)],[47,29833,theory(equality)]) ).

cnf(29966,negated_conjecture,
    ( hskp10
    | c3_1(a1)
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[29834,140]) ).

cnf(29967,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp10
    | ~ hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2037,29966,theory(equality)]) ).

cnf(29985,negated_conjecture,
    ( hskp21
    | hskp10
    | hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[29967,26927]) ).

cnf(29988,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3007,29985,theory(equality)]) ).

cnf(30042,negated_conjecture,
    ( hskp21
    | hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[29988,25432]) ).

cnf(30054,negated_conjecture,
    ( hskp21
    | hskp8
    | hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[30042,25709,theory(equality)]) ).

cnf(30217,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[30054,26927]) ).

cnf(30218,negated_conjecture,
    ( hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[30217,27150]) ).

cnf(30219,negated_conjecture,
    ( hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[27752,30218,theory(equality)]) ).

cnf(30386,negated_conjecture,
    ( hskp10
    | c3_1(a4)
    | ~ hskp24
    | ~ hskp1 ),
    inference(csr,[status(thm)],[29835,136]) ).

cnf(30387,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp10
    | ~ hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1517,30386,theory(equality)]) ).

cnf(30406,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp7
    | hskp31
    | ~ hskp24
    | ~ hskp1 ),
    inference(spm,[status(thm)],[2257,30387,theory(equality)]) ).

cnf(30413,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp31
    | hskp28
    | ~ hskp24
    | ~ hskp1 ),
    inference(spm,[status(thm)],[3801,30387,theory(equality)]) ).

cnf(30538,negated_conjecture,
    ( hskp10
    | ~ hskp24
    | ~ hskp6
    | ~ c0_1(a10) ),
    inference(csr,[status(thm)],[29838,114]) ).

cnf(30539,negated_conjecture,
    ( hskp10
    | hskp16
    | hskp15
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[30538,4651,theory(equality)]) ).

cnf(30542,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp24
    | ~ hskp6 ),
    inference(csr,[status(thm)],[30539,1479]) ).

cnf(30548,negated_conjecture,
    ( hskp8
    | hskp15
    | ~ hskp21
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[19785,30542,theory(equality)]) ).

cnf(30644,negated_conjecture,
    ( hskp15
    | hskp8
    | ~ hskp24
    | ~ hskp21 ),
    inference(csr,[status(thm)],[30548,19796]) ).

cnf(30645,negated_conjecture,
    ( hskp15
    | hskp8
    | ~ hskp21 ),
    inference(csr,[status(thm)],[30644,19796]) ).

cnf(30646,negated_conjecture,
    ( hskp15
    | hskp8 ),
    inference(csr,[status(thm)],[30645,30218]) ).

cnf(30899,negated_conjecture,
    ( hskp10
    | ~ hskp24
    | ~ hskp9
    | ~ c0_1(a15) ),
    inference(csr,[status(thm)],[29839,102]) ).

cnf(31269,negated_conjecture,
    ( hskp10
    | c3_1(a42)
    | ~ hskp24
    | ~ hskp23 ),
    inference(csr,[status(thm)],[29842,48]) ).

cnf(31270,negated_conjecture,
    ( hskp10
    | ~ hskp24
    | ~ hskp23 ),
    inference(csr,[status(thm)],[31269,46]) ).

cnf(31271,negated_conjecture,
    ( hskp10
    | hskp30
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[31270,2369,theory(equality)]) ).

cnf(31272,negated_conjecture,
    ( hskp10
    | hskp30
    | hskp16
    | ~ hskp24
    | ~ hskp3 ),
    inference(spm,[status(thm)],[31270,2371,theory(equality)]) ).

cnf(31289,negated_conjecture,
    ( hskp16
    | hskp30
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1479,31271,theory(equality)]) ).

cnf(31291,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp30
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[3007,31271,theory(equality)]) ).

cnf(31377,negated_conjecture,
    ( hskp8
    | hskp30
    | ~ hskp21
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[19785,31289,theory(equality)]) ).

cnf(31383,negated_conjecture,
    ( hskp30
    | hskp16
    | ~ hskp24
    | ~ hskp3 ),
    inference(csr,[status(thm)],[31272,1479]) ).

cnf(31389,negated_conjecture,
    ( hskp8
    | hskp30
    | ~ hskp21
    | ~ hskp24
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19785,31383,theory(equality)]) ).

cnf(31702,negated_conjecture,
    ( hskp8
    | hskp7
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31291,19955]) ).

cnf(31707,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[31702,11357,theory(equality)]) ).

cnf(31723,negated_conjecture,
    ( hskp5
    | hskp28
    | hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[15564,31707,theory(equality)]) ).

cnf(31726,negated_conjecture,
    ( hskp8
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[31723,17076]) ).

cnf(31847,negated_conjecture,
    ( hskp30
    | hskp8
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31377,30218]) ).

cnf(31848,negated_conjecture,
    ( hskp8
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[31847,19955]) ).

cnf(31850,negated_conjecture,
    ( hskp8
    | hskp28
    | ~ hskp24
    | ~ hskp5 ),
    inference(spm,[status(thm)],[31848,3998,theory(equality)]) ).

cnf(31868,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[31850,31726]) ).

cnf(31876,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp2 ),
    inference(spm,[status(thm)],[31868,26055,theory(equality)]) ).

cnf(31881,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp2 ),
    inference(spm,[status(thm)],[17389,31876,theory(equality)]) ).

cnf(32084,negated_conjecture,
    ( hskp30
    | hskp8
    | ~ hskp24
    | ~ hskp21 ),
    inference(csr,[status(thm)],[31389,30219]) ).

cnf(32085,negated_conjecture,
    ( hskp30
    | hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[32084,30218]) ).

cnf(32086,negated_conjecture,
    ( hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[32085,19955]) ).

cnf(32088,negated_conjecture,
    ( hskp8
    | hskp26
    | hskp12 ),
    inference(spm,[status(thm)],[32086,2047,theory(equality)]) ).

cnf(32089,negated_conjecture,
    ( hskp8
    | hskp12
    | hskp2 ),
    inference(spm,[status(thm)],[32086,2932,theory(equality)]) ).

cnf(32168,negated_conjecture,
    ( hskp26
    | hskp8 ),
    inference(csr,[status(thm)],[32088,27153]) ).

cnf(32169,negated_conjecture,
    ( hskp8
    | hskp2 ),
    inference(csr,[status(thm)],[32089,27153]) ).

cnf(32170,negated_conjecture,
    ( hskp12
    | hskp2 ),
    inference(spm,[status(thm)],[2719,32169,theory(equality)]) ).

cnf(32389,negated_conjecture,
    ( hskp9
    | c3_1(a10)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2492,115]) ).

cnf(32390,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[32389,114]) ).

cnf(32396,negated_conjecture,
    ( hskp9
    | c3_1(a21)
    | ~ hskp11
    | ~ hskp6
    | ~ c1_1(a21) ),
    inference(spm,[status(thm)],[95,32390,theory(equality)]) ).

cnf(32398,negated_conjecture,
    ( hskp9
    | c3_1(a29)
    | ~ hskp15
    | ~ hskp6
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,32390,theory(equality)]) ).

cnf(32400,negated_conjecture,
    ( hskp9
    | c3_1(a40)
    | ~ hskp22
    | ~ hskp6
    | ~ c1_1(a40) ),
    inference(spm,[status(thm)],[51,32390,theory(equality)]) ).

cnf(32838,negated_conjecture,
    ( hskp9
    | ~ hskp11
    | ~ hskp6
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[32396,94]) ).

cnf(32840,negated_conjecture,
    ( hskp9
    | hskp22
    | ~ hskp11
    | ~ hskp6
    | ~ hskp31 ),
    inference(spm,[status(thm)],[32838,10752,theory(equality)]) ).

cnf(32846,negated_conjecture,
    ( hskp9
    | hskp21
    | ~ hskp11
    | ~ hskp6
    | ~ hskp7 ),
    inference(spm,[status(thm)],[32838,26093,theory(equality)]) ).

cnf(32847,negated_conjecture,
    ( hskp9
    | hskp21
    | ~ hskp11
    | ~ hskp6
    | ~ hskp28 ),
    inference(spm,[status(thm)],[32838,26963,theory(equality)]) ).

cnf(32942,negated_conjecture,
    ( hskp21
    | hskp9
    | hskp0
    | ~ hskp31
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[27490,32840,theory(equality)]) ).

cnf(32944,negated_conjecture,
    ( hskp21
    | ~ hskp11
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[32846,25594]) ).

cnf(32945,negated_conjecture,
    ( hskp21
    | hskp30
    | ~ hskp7
    | ~ hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[32944,2926,theory(equality)]) ).

cnf(32967,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[32847,26818]) ).

cnf(32991,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[32945,25732]) ).

cnf(33294,negated_conjecture,
    ( hskp9
    | c3_1(a29)
    | ~ hskp15
    | ~ hskp6 ),
    inference(csr,[status(thm)],[32398,80]) ).

cnf(33295,negated_conjecture,
    ( hskp9
    | ~ hskp15
    | ~ hskp6 ),
    inference(csr,[status(thm)],[33294,78]) ).

cnf(33298,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[33295,12825,theory(equality)]) ).

cnf(33299,negated_conjecture,
    ( hskp9
    | hskp28
    | ~ hskp6
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[33295,12827,theory(equality)]) ).

cnf(33302,negated_conjecture,
    ( hskp9
    | hskp28
    | hskp24
    | hskp12
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[33295,16328,theory(equality)]) ).

cnf(33309,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[33295,30646,theory(equality)]) ).

cnf(33311,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp27
    | hskp12 ),
    inference(spm,[status(thm)],[33309,9,theory(equality)]) ).

cnf(33312,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[33311,27153]) ).

cnf(33315,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | hskp0
    | hskp8 ),
    inference(spm,[status(thm)],[11342,33312,theory(equality)]) ).

cnf(33328,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[33315,27153]) ).

cnf(33330,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp0
    | hskp8 ),
    inference(spm,[status(thm)],[10674,33328,theory(equality)]) ).

cnf(33335,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[33330,27153]) ).

cnf(33336,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp0 ),
    inference(csr,[status(thm)],[33335,32086]) ).

cnf(33339,negated_conjecture,
    ( hskp28
    | hskp9
    | ~ hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[33299,25532]) ).

cnf(33741,negated_conjecture,
    ( hskp9
    | ~ hskp22
    | ~ hskp6
    | ~ c1_1(a40) ),
    inference(csr,[status(thm)],[32400,50]) ).

cnf(33748,negated_conjecture,
    ( hskp9
    | hskp21
    | ~ hskp22
    | ~ hskp6
    | ~ hskp7 ),
    inference(spm,[status(thm)],[33741,26351,theory(equality)]) ).

cnf(33757,negated_conjecture,
    ( hskp21
    | ~ hskp22
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[33748,25594]) ).

cnf(33758,negated_conjecture,
    ( hskp21
    | ~ hskp7
    | ~ hskp6
    | ~ hskp31
    | ~ hskp0 ),
    inference(spm,[status(thm)],[33757,10398,theory(equality)]) ).

cnf(33793,negated_conjecture,
    ( hskp21
    | hskp28
    | ~ hskp7
    | ~ hskp6
    | ~ hskp0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[33758,1592,theory(equality)]) ).

cnf(35379,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a30)
    | c1_1(X1)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2578,75]) ).

cnf(35380,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[35379,74]) ).

cnf(35388,negated_conjecture,
    ( hskp8
    | c3_1(a29)
    | c1_1(a29)
    | ~ hskp15
    | ~ hskp16 ),
    inference(spm,[status(thm)],[79,35380,theory(equality)]) ).

cnf(35452,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[19549,35380,theory(equality)]) ).

cnf(35588,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | hskp3
    | ~ hskp31 ),
    inference(csr,[status(thm)],[24970,4201]) ).

cnf(35589,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp3
    | ~ hskp31 ),
    inference(csr,[status(thm)],[35588,27813]) ).

cnf(35591,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp3
    | ~ hskp30 ),
    inference(spm,[status(thm)],[35589,1592,theory(equality)]) ).

cnf(36227,negated_conjecture,
    ( hskp8
    | c3_1(a29)
    | c1_1(a29)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[35388,80]) ).

cnf(36228,negated_conjecture,
    ( hskp8
    | c3_1(a29)
    | c1_1(a29) ),
    inference(csr,[status(thm)],[36227,30646]) ).

cnf(36229,negated_conjecture,
    ( hskp12
    | c3_1(a29)
    | c0_1(a29)
    | hskp8 ),
    inference(spm,[status(thm)],[1344,36228,theory(equality)]) ).

cnf(36365,negated_conjecture,
    ( hskp8
    | c3_1(a29)
    | c0_1(a29) ),
    inference(csr,[status(thm)],[36229,27153]) ).

cnf(36366,negated_conjecture,
    ( hskp8
    | c0_1(a29)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[78,36365,theory(equality)]) ).

cnf(36381,negated_conjecture,
    ( hskp8
    | c0_1(a29) ),
    inference(csr,[status(thm)],[36366,30646]) ).

cnf(37529,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c2_1(a52)
    | c1_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2652,43]) ).

cnf(37530,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp24
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[37529,42]) ).

cnf(37531,negated_conjecture,
    ( hskp7
    | c3_1(a1)
    | ~ hskp0
    | ~ hskp24
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[139,37530,theory(equality)]) ).

cnf(37539,negated_conjecture,
    ( hskp7
    | c3_1(a42)
    | ~ hskp23
    | ~ hskp24
    | ~ c0_1(a42) ),
    inference(spm,[status(thm)],[47,37530,theory(equality)]) ).

cnf(38303,negated_conjecture,
    ( hskp7
    | c3_1(a1)
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[37531,140]) ).

cnf(38310,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp18
    | ~ hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[11485,38303,theory(equality)]) ).

cnf(38322,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp24
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[38310,3537,theory(equality)]) ).

cnf(38501,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp24
    | ~ hskp0 ),
    inference(csr,[status(thm)],[38322,32086]) ).

cnf(38564,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp0
    | ~ hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[26448,25594]) ).

cnf(38565,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[38564,11357]) ).

cnf(38566,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp9 ),
    inference(csr,[status(thm)],[38565,26818]) ).

cnf(38569,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp30
    | ~ hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[38566,12851,theory(equality)]) ).

cnf(38625,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[38569,30218]) ).

cnf(38626,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[38625,26937]) ).

cnf(39063,negated_conjecture,
    ( hskp7
    | c3_1(a42)
    | ~ hskp24
    | ~ hskp23 ),
    inference(csr,[status(thm)],[37539,48]) ).

cnf(39064,negated_conjecture,
    ( hskp7
    | ~ hskp24
    | ~ hskp23 ),
    inference(csr,[status(thm)],[39063,46]) ).

cnf(39065,negated_conjecture,
    ( hskp7
    | hskp30
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[39064,2369,theory(equality)]) ).

cnf(39073,negated_conjecture,
    ( hskp7
    | hskp30
    | ~ hskp24
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[39064,9206,theory(equality)]) ).

cnf(39088,negated_conjecture,
    ( hskp30
    | hskp7
    | hskp28
    | ~ hskp24 ),
    inference(spm,[status(thm)],[39065,11357,theory(equality)]) ).

cnf(39101,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[8206,39088,theory(equality)]) ).

cnf(39105,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c0_1(a29)
    | c0_1(X1)
    | ~ hskp15
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2699,78]) ).

cnf(39113,negated_conjecture,
    ( hskp6
    | c0_1(a29)
    | ~ hskp15
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,39105,theory(equality)]) ).

cnf(39189,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[39101,32086]) ).

cnf(39190,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp21
    | hskp5 ),
    inference(spm,[status(thm)],[39189,8,theory(equality)]) ).

cnf(39198,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp3 ),
    inference(spm,[status(thm)],[39189,29823,theory(equality)]) ).

cnf(39200,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp5 ),
    inference(csr,[status(thm)],[39190,17077]) ).

cnf(39201,negated_conjecture,
    ( hskp21
    | hskp5 ),
    inference(csr,[status(thm)],[39200,17930]) ).

cnf(39301,negated_conjecture,
    ( hskp6
    | c3_1(a35)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp19
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2701,63]) ).

cnf(39302,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp19
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[39301,62]) ).

cnf(39309,negated_conjecture,
    ( hskp6
    | c0_1(a24)
    | ~ hskp12
    | ~ hskp19
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,39302,theory(equality)]) ).

cnf(39313,negated_conjecture,
    ( hskp6
    | c0_1(a52)
    | ~ hskp24
    | ~ hskp19
    | ~ c1_1(a52) ),
    inference(spm,[status(thm)],[42,39302,theory(equality)]) ).

cnf(39388,negated_conjecture,
    ( hskp6
    | c0_1(a29)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[39113,80]) ).

cnf(39390,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[3504,39388,theory(equality)]) ).

cnf(39392,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp15
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8225,39388,theory(equality)]) ).

cnf(39452,negated_conjecture,
    ( hskp30
    | hskp7
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[39073,32086]) ).

cnf(39453,negated_conjecture,
    ( hskp30
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[39452,2926]) ).

cnf(39454,negated_conjecture,
    ( hskp30
    | ~ hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[8206,39453,theory(equality)]) ).

cnf(39458,negated_conjecture,
    ( hskp30
    | ~ hskp24 ),
    inference(csr,[status(thm)],[39454,32086]) ).

cnf(39463,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ hskp28 ),
    inference(spm,[status(thm)],[39458,27918,theory(equality)]) ).

cnf(39471,negated_conjecture,
    ( hskp30
    | hskp3 ),
    inference(csr,[status(thm)],[39463,39198]) ).

cnf(40233,negated_conjecture,
    ( hskp6
    | c0_1(a24)
    | ~ hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[39309,92]) ).

cnf(40234,negated_conjecture,
    ( hskp6
    | c0_1(a24)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[40233,1483]) ).

cnf(40240,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp30
    | ~ hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[8051,40234,theory(equality)]) ).

cnf(40243,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[12822,40234,theory(equality)]) ).

cnf(40251,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp19 ),
    inference(csr,[status(thm)],[40243,1483]) ).

cnf(40253,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp11
    | ~ hskp4 ),
    inference(spm,[status(thm)],[40251,3738,theory(equality)]) ).

cnf(40282,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp21
    | hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[40251,18789,theory(equality)]) ).

cnf(40291,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp15
    | hskp6
    | ~ hskp4 ),
    inference(spm,[status(thm)],[3453,40253,theory(equality)]) ).

cnf(40419,negated_conjecture,
    ( hskp21
    | hskp6
    | ~ hskp30
    | ~ hskp19 ),
    inference(csr,[status(thm)],[40240,1483]) ).

cnf(40441,negated_conjecture,
    ( hskp21
    | hskp6
    | hskp18
    | hskp17
    | ~ hskp30 ),
    inference(spm,[status(thm)],[40419,8657,theory(equality)]) ).

cnf(40703,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[40282,30646]) ).

cnf(40741,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[40291,13504]) ).

cnf(40742,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[40741,39390]) ).

cnf(41035,negated_conjecture,
    ( hskp17
    | hskp21
    | hskp6
    | ~ hskp3
    | ~ hskp30 ),
    inference(spm,[status(thm)],[11531,40441,theory(equality)]) ).

cnf(41358,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[41035,11560]) ).

cnf(41359,negated_conjecture,
    ( hskp17
    | hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[41358,19962]) ).

cnf(41492,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a4)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2761,136]) ).

cnf(41493,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[41492,134]) ).

cnf(41504,negated_conjecture,
    ( c1_1(a52)
    | c0_1(a52)
    | hskp0
    | ~ hskp24
    | ~ hskp1 ),
    inference(spm,[status(thm)],[42,41493,theory(equality)]) ).

cnf(41748,negated_conjecture,
    ( hskp6
    | ~ hskp24
    | ~ hskp19
    | ~ c1_1(a52) ),
    inference(csr,[status(thm)],[39313,43]) ).

cnf(41749,negated_conjecture,
    ( hskp6
    | hskp17
    | ~ hskp24
    | ~ hskp19 ),
    inference(spm,[status(thm)],[41748,3241,theory(equality)]) ).

cnf(41798,negated_conjecture,
    ( hskp17
    | hskp6
    | hskp18
    | hskp3
    | ~ hskp24
    | ~ hskp31 ),
    inference(spm,[status(thm)],[41749,19122,theory(equality)]) ).

cnf(42490,negated_conjecture,
    ( c1_1(a52)
    | hskp0
    | ~ hskp24
    | ~ hskp1 ),
    inference(csr,[status(thm)],[41504,43]) ).

cnf(42539,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp30
    | ~ hskp24
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9587,42490,theory(equality)]) ).

cnf(42676,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp30
    | ~ hskp24 ),
    inference(csr,[status(thm)],[42539,9590]) ).

cnf(42677,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[42676,39458]) ).

cnf(43097,negated_conjecture,
    ( hskp8
    | c3_1(a57)
    | c0_1(a57)
    | ~ hskp26
    | ~ hskp16 ),
    inference(spm,[status(thm)],[35,35452,theory(equality)]) ).

cnf(43433,negated_conjecture,
    ( hskp8
    | c3_1(a57)
    | c0_1(a57)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[43097,32168]) ).

cnf(43434,negated_conjecture,
    ( hskp8
    | c0_1(a57)
    | ~ hskp26
    | ~ hskp16 ),
    inference(spm,[status(thm)],[34,43433,theory(equality)]) ).

cnf(43451,negated_conjecture,
    ( hskp8
    | c0_1(a57)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[43434,32168]) ).

cnf(43452,negated_conjecture,
    ( hskp8
    | ~ hskp26
    | ~ hskp16 ),
    inference(spm,[status(thm)],[36,43451,theory(equality)]) ).

cnf(43553,negated_conjecture,
    ( hskp8
    | ~ hskp16 ),
    inference(csr,[status(thm)],[43452,32168]) ).

cnf(45156,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp7
    | ~ hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[29023,29024]) ).

cnf(45157,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[45156,38501]) ).

cnf(45163,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp24
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[45157,12370,theory(equality)]) ).

cnf(45230,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[45163,38501]) ).

cnf(47675,negated_conjecture,
    ( c3_1(a29)
    | c3_1(X1)
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[2915,79]) ).

cnf(47676,negated_conjecture,
    ( c3_1(X1)
    | hskp2
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[47675,78]) ).

cnf(47687,negated_conjecture,
    ( c3_1(a57)
    | hskp2
    | c0_1(a57)
    | ~ hskp26
    | ~ hskp15 ),
    inference(spm,[status(thm)],[35,47676,theory(equality)]) ).

cnf(48629,negated_conjecture,
    ( c3_1(a57)
    | hskp2
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[47687,36]) ).

cnf(48630,negated_conjecture,
    ( hskp2
    | ~ hskp26
    | ~ hskp15 ),
    inference(csr,[status(thm)],[48629,34]) ).

cnf(48634,negated_conjecture,
    ( hskp2
    | hskp28
    | ~ hskp26
    | ~ hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[48630,12827,theory(equality)]) ).

cnf(48839,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp30
    | ~ hskp26 ),
    inference(csr,[status(thm)],[48634,32170]) ).

cnf(48840,negated_conjecture,
    ( hskp28
    | hskp2
    | ~ hskp26 ),
    inference(csr,[status(thm)],[48839,31881]) ).

cnf(48841,negated_conjecture,
    ( hskp28
    | hskp2 ),
    inference(csr,[status(thm)],[48840,25621]) ).

cnf(49205,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp7
    | ~ hskp1 ),
    inference(csr,[status(thm)],[30406,13]) ).

cnf(49206,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp7
    | ~ hskp1 ),
    inference(csr,[status(thm)],[49205,2262]) ).

cnf(49237,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp11
    | ~ hskp1 ),
    inference(csr,[status(thm)],[30413,13]) ).

cnf(49940,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp31
    | ~ hskp11
    | ~ hskp6 ),
    inference(csr,[status(thm)],[32942,38566]) ).

cnf(49947,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp12
    | ~ hskp31
    | ~ hskp6 ),
    inference(spm,[status(thm)],[49940,7956,theory(equality)]) ).

cnf(49980,negated_conjecture,
    ( hskp21
    | hskp0
    | ~ hskp31
    | ~ hskp6 ),
    inference(csr,[status(thm)],[49947,38626]) ).

cnf(49981,negated_conjecture,
    ( hskp21
    | hskp0
    | hskp24
    | hskp12
    | ~ hskp6 ),
    inference(spm,[status(thm)],[49980,13,theory(equality)]) ).

cnf(49983,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[49981,38626]) ).

cnf(49984,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp0
    | hskp27
    | hskp12 ),
    inference(spm,[status(thm)],[49983,9,theory(equality)]) ).

cnf(49988,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp21
    | hskp0 ),
    inference(csr,[status(thm)],[49984,38626]) ).

cnf(49990,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp0
    | hskp21 ),
    inference(spm,[status(thm)],[10953,49988,theory(equality)]) ).

cnf(49993,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp21
    | hskp0 ),
    inference(csr,[status(thm)],[49990,38626]) ).

cnf(49994,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp0 ),
    inference(csr,[status(thm)],[49993,42677]) ).

cnf(49997,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c2_1(a52)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[2940,43]) ).

cnf(49998,negated_conjecture,
    ( c3_1(X1)
    | hskp1
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[49997,42]) ).

cnf(50003,negated_conjecture,
    ( c3_1(a10)
    | hskp1
    | c0_1(a10)
    | ~ hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[115,49998,theory(equality)]) ).

cnf(50004,negated_conjecture,
    ( c3_1(a15)
    | hskp1
    | c0_1(a15)
    | ~ hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[104,49998,theory(equality)]) ).

cnf(50009,negated_conjecture,
    ( c3_1(a57)
    | hskp1
    | c0_1(a57)
    | ~ hskp26
    | ~ hskp24 ),
    inference(spm,[status(thm)],[35,49998,theory(equality)]) ).

cnf(50012,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c0_1(X1)
    | hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1344,49998,theory(equality)]) ).

cnf(50467,negated_conjecture,
    ( hskp1
    | c0_1(a10)
    | ~ hskp24
    | ~ hskp6 ),
    inference(csr,[status(thm)],[50003,114]) ).

cnf(50471,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[30538,50467,theory(equality)]) ).

cnf(50486,negated_conjecture,
    ( hskp12
    | hskp11
    | hskp1
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3801,50471,theory(equality)]) ).

cnf(50653,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp11
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[49237,50486,theory(equality)]) ).

cnf(51118,negated_conjecture,
    ( hskp1
    | c0_1(a15)
    | ~ hskp24
    | ~ hskp9 ),
    inference(csr,[status(thm)],[50004,102]) ).

cnf(51125,negated_conjecture,
    ( hskp10
    | hskp1
    | ~ hskp24
    | ~ hskp9 ),
    inference(spm,[status(thm)],[30899,51118,theory(equality)]) ).

cnf(51144,negated_conjecture,
    ( hskp28
    | hskp1
    | ~ hskp30
    | ~ hskp24
    | ~ hskp9 ),
    inference(spm,[status(thm)],[9454,51125,theory(equality)]) ).

cnf(51467,negated_conjecture,
    ( hskp28
    | hskp1
    | ~ hskp24
    | ~ hskp9 ),
    inference(csr,[status(thm)],[51144,39458]) ).

cnf(52340,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp9
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[33302,33339]) ).

cnf(52341,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[52340,42677]) ).

cnf(52342,negated_conjecture,
    ( hskp28
    | hskp9
    | hskp0
    | hskp27
    | hskp12 ),
    inference(spm,[status(thm)],[52341,9,theory(equality)]) ).

cnf(52345,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[52342,11342]) ).

cnf(52347,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp12
    | hskp0 ),
    inference(spm,[status(thm)],[10674,52345,theory(equality)]) ).

cnf(52353,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[52347,42677]) ).

cnf(52362,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp31
    | ~ c3_1(a4)
    | ~ c3_1(a76)
    | ~ c3_1(X1)
    | ~ hskp1
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2960,16]) ).

cnf(52363,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp31
    | ~ c3_1(a4)
    | ~ c3_1(X1)
    | ~ hskp1
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[52362,14]) ).

cnf(52365,negated_conjecture,
    ( ~ hskp1
    | ~ hskp31
    | ~ c3_1(a4)
    | ~ c0_1(a4) ),
    inference(spm,[status(thm)],[134,52363,theory(equality)]) ).

cnf(52515,negated_conjecture,
    ( ~ hskp31
    | ~ c3_1(a4)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[52365,136]) ).

cnf(52519,negated_conjecture,
    ( hskp10
    | ~ hskp31
    | ~ hskp1
    | ~ hskp24 ),
    inference(spm,[status(thm)],[52515,30386,theory(equality)]) ).

cnf(52567,negated_conjecture,
    ( hskp28
    | ~ hskp30
    | ~ hskp31
    | ~ hskp24
    | ~ hskp1 ),
    inference(spm,[status(thm)],[9454,52519,theory(equality)]) ).

cnf(52957,negated_conjecture,
    ( hskp28
    | ~ hskp30
    | ~ hskp24
    | ~ hskp1 ),
    inference(csr,[status(thm)],[52567,1592]) ).

cnf(52958,negated_conjecture,
    ( hskp28
    | ~ hskp24
    | ~ hskp1 ),
    inference(csr,[status(thm)],[52957,39458]) ).

cnf(52971,negated_conjecture,
    ( hskp28
    | ~ hskp24
    | ~ hskp9 ),
    inference(spm,[status(thm)],[52958,51467,theory(equality)]) ).

cnf(52982,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp24
    | ~ hskp30 ),
    inference(spm,[status(thm)],[52971,35591,theory(equality)]) ).

cnf(53003,negated_conjecture,
    ( hskp28
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[52982,39458]) ).

cnf(53004,negated_conjecture,
    ( hskp28
    | hskp3 ),
    inference(csr,[status(thm)],[53003,29823]) ).

cnf(53554,negated_conjecture,
    ( c3_1(a57)
    | hskp1
    | ~ hskp26
    | ~ hskp24 ),
    inference(csr,[status(thm)],[50009,36]) ).

cnf(53555,negated_conjecture,
    ( hskp1
    | ~ hskp26
    | ~ hskp24 ),
    inference(csr,[status(thm)],[53554,34]) ).

cnf(53581,negated_conjecture,
    ( hskp28
    | ~ hskp24
    | ~ hskp26 ),
    inference(spm,[status(thm)],[52958,53555,theory(equality)]) ).

cnf(53585,negated_conjecture,
    ( hskp28
    | ~ hskp24 ),
    inference(csr,[status(thm)],[53581,25621]) ).

cnf(54211,negated_conjecture,
    ( hskp12
    | hskp1
    | c0_1(a39)
    | ~ hskp21
    | ~ hskp24 ),
    inference(spm,[status(thm)],[54,50012,theory(equality)]) ).

cnf(54494,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp31
    | ~ hskp16
    | ~ c3_1(a76)
    | ~ c3_1(X1)
    | ~ c0_1(a30)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3117,16]) ).

cnf(54495,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp31
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c0_1(a30)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[54494,14]) ).

cnf(54503,negated_conjecture,
    ( ~ hskp16
    | ~ hskp31
    | ~ c3_1(a30)
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[74,54495,theory(equality)]) ).

cnf(54644,negated_conjecture,
    ( ~ hskp31
    | ~ hskp16
    | ~ c0_1(a30) ),
    inference(csr,[status(thm)],[54503,75]) ).

cnf(54645,negated_conjecture,
    ( hskp20
    | hskp4
    | ~ hskp31
    | ~ hskp16 ),
    inference(spm,[status(thm)],[54644,4243,theory(equality)]) ).

cnf(54663,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp18
    | ~ hskp31
    | ~ hskp16 ),
    inference(spm,[status(thm)],[12077,54645,theory(equality)]) ).

cnf(54924,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp24
    | ~ hskp21 ),
    inference(csr,[status(thm)],[54211,55]) ).

cnf(54942,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp7
    | hskp12
    | ~ hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[49206,54924,theory(equality)]) ).

cnf(55379,negated_conjecture,
    ( hskp28
    | hskp21
    | ~ hskp7
    | ~ hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[33793,32991]) ).

cnf(55380,negated_conjecture,
    ( hskp28
    | hskp21
    | ~ hskp7
    | ~ hskp6 ),
    inference(csr,[status(thm)],[55379,49994]) ).

cnf(58086,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp30
    | ~ hskp12
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[3315,91]) ).

cnf(58999,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp6
    | hskp3
    | ~ hskp31 ),
    inference(csr,[status(thm)],[41798,40742]) ).

cnf(59000,negated_conjecture,
    ( hskp18
    | hskp17
    | hskp6
    | ~ hskp31 ),
    inference(csr,[status(thm)],[58999,41359]) ).

cnf(59008,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | hskp6
    | ~ hskp12
    | ~ hskp31 ),
    inference(spm,[status(thm)],[11791,59000,theory(equality)]) ).

cnf(62822,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[50653,53585]) ).

cnf(62823,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp11 ),
    inference(csr,[status(thm)],[62822,13]) ).

cnf(62830,negated_conjecture,
    ( hskp21
    | hskp31
    | hskp28
    | hskp12
    | ~ hskp7
    | ~ hskp6 ),
    inference(spm,[status(thm)],[32944,62823,theory(equality)]) ).

cnf(64602,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp31
    | ~ hskp16
    | ~ hskp8 ),
    inference(spm,[status(thm)],[54663,3537,theory(equality)]) ).

cnf(64829,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp7
    | ~ hskp24 ),
    inference(csr,[status(thm)],[54942,53585]) ).

cnf(64830,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | hskp7 ),
    inference(csr,[status(thm)],[64829,13]) ).

cnf(64831,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp7 ),
    inference(csr,[status(thm)],[64830,2262]) ).

cnf(66300,negated_conjecture,
    ( c3_1(a12)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ hskp7
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[3713,112]) ).

cnf(66301,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp31
    | ~ hskp7
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[66300,110]) ).

cnf(66308,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp12
    | ~ hskp31
    | ~ hskp7
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[90,66301,theory(equality)]) ).

cnf(66311,negated_conjecture,
    ( c0_1(a40)
    | ~ hskp22
    | ~ hskp31
    | ~ hskp7
    | ~ c1_1(a40) ),
    inference(spm,[status(thm)],[51,66301,theory(equality)]) ).

cnf(66409,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | ~ hskp31
    | ~ hskp12 ),
    inference(csr,[status(thm)],[59008,33298]) ).

cnf(66411,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | hskp28
    | ~ hskp12
    | ~ hskp30 ),
    inference(spm,[status(thm)],[66409,1592,theory(equality)]) ).

cnf(66678,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp31
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[66308,92]) ).

cnf(66686,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ hskp12
    | ~ hskp31
    | ~ hskp7 ),
    inference(spm,[status(thm)],[11788,66678,theory(equality)]) ).

cnf(66687,negated_conjecture,
    ( hskp15
    | ~ hskp12
    | ~ hskp31
    | ~ hskp7 ),
    inference(spm,[status(thm)],[12822,66678,theory(equality)]) ).

cnf(66697,negated_conjecture,
    ( hskp15
    | hskp28
    | ~ hskp12
    | ~ hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[66687,1592,theory(equality)]) ).

cnf(66713,negated_conjecture,
    ( hskp17
    | ~ hskp31
    | ~ hskp12
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[66686,3537,theory(equality)]) ).

cnf(66769,negated_conjecture,
    ( hskp28
    | hskp15
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[66697,25532]) ).

cnf(66770,negated_conjecture,
    ( hskp28
    | hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66769,2262]) ).

cnf(66872,negated_conjecture,
    ( hskp17
    | ~ hskp31
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[66713,27153]) ).

cnf(66874,negated_conjecture,
    ( hskp17
    | hskp28
    | ~ hskp12
    | ~ hskp7
    | ~ hskp30 ),
    inference(spm,[status(thm)],[66872,1592,theory(equality)]) ).

cnf(66971,negated_conjecture,
    ( hskp28
    | hskp17
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[66874,25532]) ).

cnf(66972,negated_conjecture,
    ( hskp28
    | hskp17
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66971,2262]) ).

cnf(67016,negated_conjecture,
    ( ~ hskp31
    | ~ hskp22
    | ~ hskp7
    | ~ c1_1(a40) ),
    inference(csr,[status(thm)],[66311,52]) ).

cnf(67017,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp31
    | ~ hskp22
    | ~ hskp7 ),
    inference(spm,[status(thm)],[67016,5246,theory(equality)]) ).

cnf(67086,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp31
    | ~ hskp22 ),
    inference(csr,[status(thm)],[67017,11357]) ).

cnf(67088,negated_conjecture,
    ( hskp28
    | hskp0
    | hskp16
    | ~ hskp31
    | ~ hskp3 ),
    inference(spm,[status(thm)],[67086,10469,theory(equality)]) ).

cnf(67094,negated_conjecture,
    ( hskp28
    | hskp0
    | hskp15
    | ~ hskp31
    | ~ hskp3 ),
    inference(spm,[status(thm)],[67086,12651,theory(equality)]) ).

cnf(67344,negated_conjecture,
    ( hskp28
    | hskp16
    | hskp0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[67088,53004]) ).

cnf(67354,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[67094,53004]) ).

cnf(67355,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp0
    | hskp24
    | hskp12 ),
    inference(spm,[status(thm)],[67354,13,theory(equality)]) ).

cnf(67365,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | hskp0 ),
    inference(csr,[status(thm)],[67355,66770]) ).

cnf(67366,negated_conjecture,
    ( hskp28
    | hskp15
    | hskp0 ),
    inference(csr,[status(thm)],[67365,53585]) ).

cnf(67367,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp28
    | hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[8226,67366,theory(equality)]) ).

cnf(67467,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp12
    | hskp0 ),
    inference(csr,[status(thm)],[67367,52353]) ).

cnf(67468,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp0 ),
    inference(csr,[status(thm)],[67467,25532]) ).

cnf(68161,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a13)
    | c0_1(X1)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3882,108]) ).

cnf(68162,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[68161,106]) ).

cnf(68165,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp5
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(a9) ),
    inference(spm,[status(thm)],[118,68162,theory(equality)]) ).

cnf(68173,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp24
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(a52) ),
    inference(spm,[status(thm)],[42,68162,theory(equality)]) ).

cnf(68174,negated_conjecture,
    ( c0_1(a65)
    | ~ hskp27
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c3_1(a65) ),
    inference(spm,[status(thm)],[30,68162,theory(equality)]) ).

cnf(68255,negated_conjecture,
    ( ~ hskp8
    | ~ hskp5
    | ~ c3_1(a13)
    | ~ c3_1(a9) ),
    inference(csr,[status(thm)],[68165,120]) ).

cnf(68257,negated_conjecture,
    ( hskp21
    | ~ hskp8
    | ~ hskp5
    | ~ c3_1(a13)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[68255,25558,theory(equality)]) ).

cnf(68258,negated_conjecture,
    ( hskp21
    | ~ hskp8
    | ~ hskp5
    | ~ c3_1(a13)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[68255,26705,theory(equality)]) ).

cnf(68284,negated_conjecture,
    ( hskp21
    | ~ hskp8
    | ~ hskp7
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68257,39201]) ).

cnf(68285,negated_conjecture,
    ( hskp21
    | ~ hskp7
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68284,30218]) ).

cnf(68286,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68285,1476,theory(equality)]) ).

cnf(68287,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp15
    | ~ hskp7
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68285,4653,theory(equality)]) ).

cnf(68292,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[68286,30218]) ).

cnf(68296,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp15
    | ~ hskp7 ),
    inference(csr,[status(thm)],[68287,30646]) ).

cnf(68297,negated_conjecture,
    ( hskp16
    | hskp15
    | ~ hskp7 ),
    inference(csr,[status(thm)],[68296,4744]) ).

cnf(68301,negated_conjecture,
    ( hskp21
    | hskp15
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[26141,68297,theory(equality)]) ).

cnf(68322,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp6
    | ~ hskp7 ),
    inference(spm,[status(thm)],[68301,40703,theory(equality)]) ).

cnf(68363,negated_conjecture,
    ( hskp30
    | hskp6
    | hskp21
    | ~ hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[39392,68322,theory(equality)]) ).

cnf(68542,negated_conjecture,
    ( hskp30
    | hskp21
    | hskp6
    | ~ hskp7 ),
    inference(csr,[status(thm)],[68363,30218]) ).

cnf(68543,negated_conjecture,
    ( hskp30
    | hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[68542,32991]) ).

cnf(68628,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68258,39201]) ).

cnf(68629,negated_conjecture,
    ( hskp21
    | ~ hskp28
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68628,30218]) ).

cnf(68630,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68629,1476,theory(equality)]) ).

cnf(68636,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp28 ),
    inference(csr,[status(thm)],[68630,30218]) ).

cnf(69579,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp21
    | hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[62830,68292]) ).

cnf(69580,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp21
    | hskp12 ),
    inference(csr,[status(thm)],[69579,64831]) ).

cnf(69581,negated_conjecture,
    ( hskp31
    | hskp21
    | hskp12 ),
    inference(csr,[status(thm)],[69580,68636]) ).

cnf(70015,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp24
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68173,44]) ).

cnf(70016,negated_conjecture,
    ( c0_1(a52)
    | ~ hskp24
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[70015,32086]) ).

cnf(70017,negated_conjecture,
    ( ~ hskp24
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[70016,43]) ).

cnf(70018,negated_conjecture,
    ( hskp12
    | ~ hskp24
    | ~ hskp8 ),
    inference(spm,[status(thm)],[70017,1476,theory(equality)]) ).

cnf(70022,negated_conjecture,
    ( hskp12
    | ~ hskp24 ),
    inference(csr,[status(thm)],[70018,32086]) ).

cnf(70023,negated_conjecture,
    ( hskp12
    | hskp26 ),
    inference(spm,[status(thm)],[70022,2047,theory(equality)]) ).

cnf(70036,negated_conjecture,
    ( c0_1(a65)
    | ~ hskp27
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[68174,32]) ).

cnf(70037,negated_conjecture,
    ( c0_1(a65)
    | hskp12
    | ~ hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[70036,1476,theory(equality)]) ).

cnf(70044,negated_conjecture,
    ( hskp17
    | hskp12
    | ~ hskp27
    | ~ hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[12384,70037,theory(equality)]) ).

cnf(70081,negated_conjecture,
    ( hskp17
    | hskp12
    | ~ hskp27
    | ~ hskp8 ),
    inference(csr,[status(thm)],[70044,3537]) ).

cnf(70312,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a13)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp8
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[4130,108]) ).

cnf(70313,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp29
    | ~ hskp8
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[70312,106]) ).

cnf(70320,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp12
    | ~ hskp29
    | ~ hskp8
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[90,70313,theory(equality)]) ).

cnf(71001,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a8)
    | c0_1(X1)
    | ~ hskp29
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[4137,24]) ).

cnf(71013,negated_conjecture,
    ( c0_1(a8)
    | c0_1(a65)
    | ~ hskp27
    | ~ hskp29
    | ~ c3_1(a65) ),
    inference(spm,[status(thm)],[30,71001,theory(equality)]) ).

cnf(71901,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a13)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(a20)
    | ~ c1_1(a13) ),
    inference(csr,[status(thm)],[4178,19955]) ).

cnf(71986,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | ~ hskp31
    | ~ hskp16 ),
    inference(csr,[status(thm)],[64602,43553]) ).

cnf(72016,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp4
    | hskp28
    | hskp0
    | ~ hskp31 ),
    inference(spm,[status(thm)],[71986,67344,theory(equality)]) ).

cnf(72091,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp29
    | ~ hskp12
    | ~ hskp8 ),
    inference(csr,[status(thm)],[70320,91]) ).

cnf(72092,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp29
    | ~ hskp12 ),
    inference(csr,[status(thm)],[72091,27153]) ).

cnf(72097,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp18
    | ~ hskp12
    | ~ hskp29 ),
    inference(spm,[status(thm)],[6824,72092,theory(equality)]) ).

cnf(72101,negated_conjecture,
    ( hskp15
    | ~ hskp12
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12822,72092,theory(equality)]) ).

cnf(72122,negated_conjecture,
    ( hskp15
    | hskp30
    | hskp19
    | ~ hskp12
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[72101,8560,theory(equality)]) ).

cnf(72382,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp18
    | ~ hskp29 ),
    inference(csr,[status(thm)],[72097,70023]) ).

cnf(72385,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp18
    | hskp19
    | hskp11
    | ~ hskp12 ),
    inference(spm,[status(thm)],[72382,3840,theory(equality)]) ).

cnf(73774,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp9
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[66411,66972]) ).

cnf(73775,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[73774,52353]) ).

cnf(74904,negated_conjecture,
    ( c0_1(a8)
    | c0_1(a65)
    | ~ hskp29
    | ~ hskp27 ),
    inference(csr,[status(thm)],[71013,32]) ).

cnf(74906,negated_conjecture,
    ( hskp30
    | hskp23
    | c0_1(a8)
    | ~ hskp27
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2602,74904,theory(equality)]) ).

cnf(74916,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp30
    | hskp23
    | ~ hskp29
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1566,74906,theory(equality)]) ).

cnf(78352,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c0_1(a30) ),
    inference(csr,[status(thm)],[4619,74]) ).

cnf(78358,negated_conjecture,
    ( c3_1(a21)
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp16
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[95,78352,theory(equality)]) ).

cnf(78818,negated_conjecture,
    ( c1_1(a21)
    | ~ hskp16
    | ~ hskp11
    | ~ c0_1(a30) ),
    inference(csr,[status(thm)],[78358,94]) ).

cnf(78862,negated_conjecture,
    ( hskp15
    | ~ hskp16
    | ~ hskp11
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[12726,78818,theory(equality)]) ).

cnf(78934,negated_conjecture,
    ( hskp15
    | hskp20
    | hskp4
    | ~ hskp16
    | ~ hskp11 ),
    inference(spm,[status(thm)],[78862,4243,theory(equality)]) ).

cnf(78936,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp16
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78934,12909]) ).

cnf(78947,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[78936,14702,theory(equality)]) ).

cnf(79123,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp11 ),
    inference(csr,[status(thm)],[78947,30646]) ).

cnf(79126,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp12
    | ~ hskp8 ),
    inference(spm,[status(thm)],[79123,3780,theory(equality)]) ).

cnf(79134,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[79123,12823,theory(equality)]) ).

cnf(79178,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[79126,30646]) ).

cnf(79366,negated_conjecture,
    ( hskp30
    | hskp15
    | hskp4 ),
    inference(csr,[status(thm)],[79134,79178]) ).

cnf(80307,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp4
    | hskp0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[72016,53585]) ).

cnf(80477,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp15
    | ~ hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[72122,30646]) ).

cnf(80478,negated_conjecture,
    ( hskp30
    | hskp19
    | hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[80477,66770]) ).

cnf(80486,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp30
    | ~ hskp12 ),
    inference(spm,[status(thm)],[40251,80478,theory(equality)]) ).

cnf(80503,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp8
    | ~ hskp12 ),
    inference(spm,[status(thm)],[39392,80486,theory(equality)]) ).

cnf(80514,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[80503,27153]) ).

cnf(80527,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp30
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[55380,80514,theory(equality)]) ).

cnf(80548,negated_conjecture,
    ( hskp30
    | hskp28
    | hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[80527,68543]) ).

cnf(80549,negated_conjecture,
    ( hskp28
    | hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[80548,8170]) ).

cnf(80551,negated_conjecture,
    ( hskp28
    | hskp21
    | ~ hskp12 ),
    inference(spm,[status(thm)],[80549,2262,theory(equality)]) ).

cnf(82616,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a32)
    | c1_1(X1)
    | ~ hskp30
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4891,72]) ).

cnf(82900,negated_conjecture,
    ( hskp27
    | hskp26
    | hskp19
    | hskp18
    | hskp11 ),
    inference(csr,[status(thm)],[72385,70023]) ).

cnf(82902,negated_conjecture,
    ( hskp30
    | hskp8
    | hskp27
    | hskp26
    | hskp18
    | hskp11 ),
    inference(spm,[status(thm)],[4925,82900,theory(equality)]) ).

cnf(83083,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a20)
    | c1_1(X1)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[4896,20]) ).

cnf(83087,negated_conjecture,
    ( c3_1(a15)
    | c1_1(a20)
    | c1_1(a15)
    | ~ hskp9
    | ~ hskp30 ),
    inference(spm,[status(thm)],[103,83083,theory(equality)]) ).

cnf(83089,negated_conjecture,
    ( c3_1(a21)
    | c1_1(a20)
    | c1_1(a21)
    | ~ hskp11
    | ~ hskp30 ),
    inference(spm,[status(thm)],[95,83083,theory(equality)]) ).

cnf(83667,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp26
    | hskp18
    | hskp8 ),
    inference(csr,[status(thm)],[82902,32168]) ).

cnf(83668,negated_conjecture,
    ( hskp30
    | hskp27
    | hskp26
    | hskp8 ),
    inference(csr,[status(thm)],[83667,32168]) ).

cnf(83669,negated_conjecture,
    ( hskp30
    | hskp26
    | hskp8 ),
    inference(csr,[status(thm)],[83668,32168]) ).

cnf(83670,negated_conjecture,
    ( hskp30
    | hskp26 ),
    inference(csr,[status(thm)],[83669,8207]) ).

cnf(84092,negated_conjecture,
    ( c3_1(a15)
    | c1_1(a20)
    | ~ hskp30
    | ~ hskp9 ),
    inference(csr,[status(thm)],[83087,104]) ).

cnf(84093,negated_conjecture,
    ( c1_1(a20)
    | ~ hskp30
    | ~ hskp9 ),
    inference(csr,[status(thm)],[84092,102]) ).

cnf(84411,negated_conjecture,
    ( c1_1(a21)
    | c1_1(a20)
    | ~ hskp30
    | ~ hskp11 ),
    inference(csr,[status(thm)],[83089,94]) ).

cnf(86476,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a7)
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5140,123]) ).

cnf(86477,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[86476,122]) ).

cnf(86482,negated_conjecture,
    ( c3_1(a10)
    | ~ hskp6
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(a10) ),
    inference(spm,[status(thm)],[115,86477,theory(equality)]) ).

cnf(86483,negated_conjecture,
    ( c3_1(a15)
    | ~ hskp9
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(a15) ),
    inference(spm,[status(thm)],[104,86477,theory(equality)]) ).

cnf(86486,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp23
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(a42) ),
    inference(spm,[status(thm)],[47,86477,theory(equality)]) ).

cnf(86783,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5142,106]) ).

cnf(86792,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp23
    | ~ hskp8
    | ~ c3_1(a13)
    | ~ c0_1(a42) ),
    inference(spm,[status(thm)],[47,86783,theory(equality)]) ).

cnf(87155,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a24)
    | ~ hskp12
    | ~ hskp8
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5144,91]) ).

cnf(87156,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | c0_1(a24)
    | ~ hskp12
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[87155,27153]) ).

cnf(87161,negated_conjecture,
    ( c3_1(a10)
    | c0_1(a24)
    | ~ hskp6
    | ~ hskp12
    | ~ c0_1(a10) ),
    inference(spm,[status(thm)],[115,87156,theory(equality)]) ).

cnf(87162,negated_conjecture,
    ( c3_1(a15)
    | c0_1(a24)
    | ~ hskp9
    | ~ hskp12
    | ~ c0_1(a15) ),
    inference(spm,[status(thm)],[104,87156,theory(equality)]) ).

cnf(87583,negated_conjecture,
    ( ~ hskp8
    | ~ hskp6
    | ~ hskp4
    | ~ c0_1(a10) ),
    inference(csr,[status(thm)],[86482,114]) ).

cnf(88453,negated_conjecture,
    ( ~ hskp9
    | ~ hskp8
    | ~ hskp4
    | ~ c0_1(a15) ),
    inference(csr,[status(thm)],[86483,102]) ).

cnf(88455,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp9
    | ~ hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[88453,4057,theory(equality)]) ).

cnf(88507,negated_conjecture,
    ( hskp28
    | hskp0
    | ~ hskp9
    | ~ hskp4 ),
    inference(csr,[status(thm)],[88455,33336]) ).

cnf(88547,negated_conjecture,
    ( hskp28
    | hskp0
    | hskp17
    | ~ hskp9
    | ~ hskp31 ),
    inference(spm,[status(thm)],[88507,80307,theory(equality)]) ).

cnf(88888,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp0
    | ~ hskp31 ),
    inference(csr,[status(thm)],[88547,73775]) ).

cnf(88890,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp0
    | ~ hskp30 ),
    inference(spm,[status(thm)],[88888,1592,theory(equality)]) ).

cnf(88896,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp0 ),
    inference(csr,[status(thm)],[88890,67468]) ).

cnf(89033,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp23
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[86486,48]) ).

cnf(89034,negated_conjecture,
    ( ~ hskp23
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[89033,46]) ).

cnf(89035,negated_conjecture,
    ( hskp30
    | ~ hskp8
    | ~ hskp4
    | ~ hskp0 ),
    inference(spm,[status(thm)],[89034,2369,theory(equality)]) ).

cnf(89043,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp8
    | ~ hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[89034,12649,theory(equality)]) ).

cnf(89063,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[89035,8552,theory(equality)]) ).

cnf(89094,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[89035,79366,theory(equality)]) ).

cnf(89305,negated_conjecture,
    ( hskp30
    | hskp28
    | ~ hskp8 ),
    inference(csr,[status(thm)],[89063,67468]) ).

cnf(89325,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[89094,30646]) ).

cnf(89336,negated_conjecture,
    ( hskp2
    | hskp30
    | ~ hskp26
    | ~ hskp0 ),
    inference(spm,[status(thm)],[48630,89325,theory(equality)]) ).

cnf(89594,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[89336,83670]) ).

cnf(89596,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp28
    | ~ hskp8 ),
    inference(spm,[status(thm)],[89594,8572,theory(equality)]) ).

cnf(89637,negated_conjecture,
    ( hskp30
    | hskp2
    | ~ hskp28 ),
    inference(csr,[status(thm)],[89596,32169]) ).

cnf(89638,negated_conjecture,
    ( hskp30
    | hskp2 ),
    inference(csr,[status(thm)],[89637,48841]) ).

cnf(90081,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[89043,39471]) ).

cnf(90082,negated_conjecture,
    ( hskp30
    | hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[90081,79366]) ).

cnf(90083,negated_conjecture,
    ( hskp30
    | hskp15 ),
    inference(csr,[status(thm)],[90082,30646]) ).

cnf(90086,negated_conjecture,
    ( hskp9
    | hskp30
    | ~ hskp6 ),
    inference(spm,[status(thm)],[33295,90083,theory(equality)]) ).

cnf(90087,negated_conjecture,
    ( hskp30
    | hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[39392,90083,theory(equality)]) ).

cnf(90116,negated_conjecture,
    ( hskp30
    | hskp9
    | ~ hskp8 ),
    inference(spm,[status(thm)],[90086,90087,theory(equality)]) ).

cnf(91381,negated_conjecture,
    ( c3_1(a42)
    | ~ hskp23
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[86792,48]) ).

cnf(91382,negated_conjecture,
    ( ~ hskp23
    | ~ hskp8
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[91381,46]) ).

cnf(91383,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | ~ hskp8 ),
    inference(spm,[status(thm)],[91382,1476,theory(equality)]) ).

cnf(92407,negated_conjecture,
    ( hskp31
    | hskp30
    | hskp28
    | hskp23
    | ~ hskp27 ),
    inference(csr,[status(thm)],[74916,5392]) ).

cnf(92408,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp23
    | ~ hskp27 ),
    inference(csr,[status(thm)],[92407,1592]) ).

cnf(93008,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp12
    | ~ hskp6
    | ~ c0_1(a10) ),
    inference(csr,[status(thm)],[87161,114]) ).

cnf(93334,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp12
    | ~ hskp9
    | ~ c0_1(a15) ),
    inference(csr,[status(thm)],[87162,102]) ).

cnf(93336,negated_conjecture,
    ( c0_1(a24)
    | hskp28
    | hskp0
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[93334,4057,theory(equality)]) ).

cnf(93487,negated_conjecture,
    ( hskp28
    | c0_1(a24)
    | hskp0
    | ~ hskp12 ),
    inference(csr,[status(thm)],[93336,3580]) ).

cnf(93488,negated_conjecture,
    ( hskp28
    | c0_1(a24)
    | hskp0 ),
    inference(csr,[status(thm)],[93487,52353]) ).

cnf(93489,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp28
    | hskp0
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1605,93488,theory(equality)]) ).

cnf(93512,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp19
    | hskp0 ),
    inference(csr,[status(thm)],[93489,52353]) ).

cnf(93514,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp17
    | hskp28
    | hskp19
    | hskp0 ),
    inference(spm,[status(thm)],[3621,93512,theory(equality)]) ).

cnf(93803,negated_conjecture,
    ( hskp28
    | hskp27
    | hskp18
    | hskp17
    | hskp0 ),
    inference(csr,[status(thm)],[93514,88896]) ).

cnf(93804,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp17
    | hskp0 ),
    inference(csr,[status(thm)],[93803,1690]) ).

cnf(93816,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp12
    | hskp4
    | hskp27
    | hskp0 ),
    inference(spm,[status(thm)],[15919,93804,theory(equality)]) ).

cnf(95944,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp17
    | hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[93816,27538]) ).

cnf(95945,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp17
    | hskp12 ),
    inference(csr,[status(thm)],[95944,27538]) ).

cnf(95946,negated_conjecture,
    ( hskp27
    | hskp17
    | hskp12 ),
    inference(csr,[status(thm)],[95945,70022]) ).

cnf(96555,negated_conjecture,
    ( c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp7
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5709,55]) ).

cnf(96556,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp7
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[96555,54]) ).

cnf(96557,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp0
    | ~ hskp21
    | ~ hskp7
    | ~ c0_1(a1) ),
    inference(spm,[status(thm)],[138,96556,theory(equality)]) ).

cnf(96562,negated_conjecture,
    ( c3_1(a21)
    | ~ hskp11
    | ~ hskp21
    | ~ hskp7
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[95,96556,theory(equality)]) ).

cnf(96669,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp21
    | ~ hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[96557,140]) ).

cnf(96670,negated_conjecture,
    ( c3_1(a1)
    | ~ hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[96669,25431]) ).

cnf(96676,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[11485,96670,theory(equality)]) ).

cnf(96687,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp0
    | ~ hskp8 ),
    inference(spm,[status(thm)],[96676,3537,theory(equality)]) ).

cnf(96718,negated_conjecture,
    ( hskp17
    | ~ hskp8
    | ~ hskp0 ),
    inference(csr,[status(thm)],[96687,45230]) ).

cnf(97302,negated_conjecture,
    ( c3_1(a21)
    | ~ hskp21
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[96562,96]) ).

cnf(97303,negated_conjecture,
    ( ~ hskp21
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[97302,94]) ).

cnf(97323,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | ~ hskp21
    | ~ hskp7 ),
    inference(spm,[status(thm)],[97303,62823,theory(equality)]) ).

cnf(97603,negated_conjecture,
    ( c3_1(a13)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp15
    | ~ hskp8
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5870,106]) ).

cnf(97810,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[97323,64831]) ).

cnf(97811,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12 ),
    inference(csr,[status(thm)],[97810,69581]) ).

cnf(97973,negated_conjecture,
    ( c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp15
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5875,55]) ).

cnf(97974,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp15
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[97973,54]) ).

cnf(97982,negated_conjecture,
    ( c3_1(a29)
    | ~ hskp15
    | ~ hskp21
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[79,97974,theory(equality)]) ).

cnf(98061,negated_conjecture,
    ( ~ hskp21
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[97982,78]) ).

cnf(98065,negated_conjecture,
    ( hskp28
    | ~ hskp21
    | ~ hskp15
    | ~ hskp30 ),
    inference(spm,[status(thm)],[98061,9531,theory(equality)]) ).

cnf(98066,negated_conjecture,
    ( hskp8
    | ~ hskp21
    | ~ hskp15 ),
    inference(spm,[status(thm)],[98061,36381,theory(equality)]) ).

cnf(98084,negated_conjecture,
    ( hskp8
    | ~ hskp21 ),
    inference(csr,[status(thm)],[98066,30646]) ).

cnf(98085,negated_conjecture,
    hskp8,
    inference(csr,[status(thm)],[98084,30218]) ).

cnf(98087,negated_conjecture,
    ( c3_1(a13)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp15
    | $false
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[97603,98085,theory(equality)]) ).

cnf(98088,negated_conjecture,
    ( c3_1(a13)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp15
    | ~ c0_1(a29)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[98087,theory(equality)]) ).

cnf(98092,negated_conjecture,
    ( hskp17
    | $false
    | ~ hskp0 ),
    inference(rw,[status(thm)],[96718,98085,theory(equality)]) ).

cnf(98093,negated_conjecture,
    ( hskp17
    | ~ hskp0 ),
    inference(cn,[status(thm)],[98092,theory(equality)]) ).

cnf(98100,negated_conjecture,
    ( hskp12
    | ~ hskp23
    | $false ),
    inference(rw,[status(thm)],[91383,98085,theory(equality)]) ).

cnf(98101,negated_conjecture,
    ( hskp12
    | ~ hskp23 ),
    inference(cn,[status(thm)],[98100,theory(equality)]) ).

cnf(98136,negated_conjecture,
    ( hskp30
    | hskp9
    | $false ),
    inference(rw,[status(thm)],[90116,98085,theory(equality)]) ).

cnf(98137,negated_conjecture,
    ( hskp30
    | hskp9 ),
    inference(cn,[status(thm)],[98136,theory(equality)]) ).

cnf(98148,negated_conjecture,
    ( hskp30
    | hskp28
    | $false ),
    inference(rw,[status(thm)],[89305,98085,theory(equality)]) ).

cnf(98149,negated_conjecture,
    ( hskp30
    | hskp28 ),
    inference(cn,[status(thm)],[98148,theory(equality)]) ).

cnf(98164,negated_conjecture,
    ( $false
    | ~ hskp6
    | ~ hskp4
    | ~ c0_1(a10) ),
    inference(rw,[status(thm)],[87583,98085,theory(equality)]) ).

cnf(98165,negated_conjecture,
    ( ~ hskp6
    | ~ hskp4
    | ~ c0_1(a10) ),
    inference(cn,[status(thm)],[98164,theory(equality)]) ).

cnf(98188,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | $false
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[86477,98085,theory(equality)]) ).

cnf(98189,negated_conjecture,
    ( c3_1(X1)
    | c1_1(X1)
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[98188,theory(equality)]) ).

cnf(98225,negated_conjecture,
    ( hskp17
    | hskp12
    | ~ hskp27
    | $false ),
    inference(rw,[status(thm)],[70081,98085,theory(equality)]) ).

cnf(98226,negated_conjecture,
    ( hskp17
    | hskp12
    | ~ hskp27 ),
    inference(cn,[status(thm)],[98225,theory(equality)]) ).

cnf(98245,negated_conjecture,
    ( $false
    | ~ hskp5
    | ~ c3_1(a13)
    | ~ c3_1(a9) ),
    inference(rw,[status(thm)],[68255,98085,theory(equality)]) ).

cnf(98246,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a13)
    | ~ c3_1(a9) ),
    inference(cn,[status(thm)],[98245,theory(equality)]) ).

cnf(98349,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | ~ hskp12
    | $false ),
    inference(rw,[status(thm)],[11871,98085,theory(equality)]) ).

cnf(98350,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0
    | ~ hskp12 ),
    inference(cn,[status(thm)],[98349,theory(equality)]) ).

cnf(98415,negated_conjecture,
    ( hskp12
    | hskp11
    | $false ),
    inference(rw,[status(thm)],[3780,98085,theory(equality)]) ).

cnf(98416,negated_conjecture,
    ( hskp12
    | hskp11 ),
    inference(cn,[status(thm)],[98415,theory(equality)]) ).

cnf(98419,negated_conjecture,
    ( hskp18
    | hskp17
    | $false ),
    inference(rw,[status(thm)],[3537,98085,theory(equality)]) ).

cnf(98420,negated_conjecture,
    ( hskp18
    | hskp17 ),
    inference(cn,[status(thm)],[98419,theory(equality)]) ).

cnf(98433,negated_conjecture,
    ( $false
    | ~ c0_1(a13) ),
    inference(rw,[status(thm)],[106,98085,theory(equality)]) ).

cnf(98434,negated_conjecture,
    ~ c0_1(a13),
    inference(cn,[status(thm)],[98433,theory(equality)]) ).

cnf(98437,negated_conjecture,
    ( c1_1(a13)
    | $false ),
    inference(rw,[status(thm)],[108,98085,theory(equality)]) ).

cnf(98438,negated_conjecture,
    c1_1(a13),
    inference(cn,[status(thm)],[98437,theory(equality)]) ).

cnf(98447,negated_conjecture,
    ( c3_1(a13)
    | c3_1(a29)
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[79,98088,theory(equality)]) ).

cnf(98695,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a13)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(a20)
    | $false ),
    inference(rw,[status(thm)],[71901,98438,theory(equality)]) ).

cnf(98696,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a13)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(a20) ),
    inference(cn,[status(thm)],[98695,theory(equality)]) ).

cnf(98697,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp30
    | ~ c3_1(X1)
    | ~ c1_1(a20) ),
    inference(sr,[status(thm)],[98696,98434,theory(equality)]) ).

cnf(98786,negated_conjecture,
    ( hskp12
    | hskp31
    | hskp28
    | ~ hskp27 ),
    inference(spm,[status(thm)],[98101,92408,theory(equality)]) ).

cnf(98854,negated_conjecture,
    ( hskp21
    | hskp30
    | ~ hskp28 ),
    inference(spm,[status(thm)],[26818,98137,theory(equality)]) ).

cnf(98918,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp28
    | ~ hskp6 ),
    inference(spm,[status(thm)],[32967,98416,theory(equality)]) ).

cnf(99227,negated_conjecture,
    ( hskp17
    | hskp12 ),
    inference(csr,[status(thm)],[98226,95946]) ).

cnf(99407,negated_conjecture,
    ( hskp30
    | hskp21 ),
    inference(csr,[status(thm)],[98854,98149]) ).

cnf(100420,negated_conjecture,
    ( hskp28
    | ~ hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[98065,98149]) ).

cnf(100422,negated_conjecture,
    ( hskp28
    | ~ hskp21
    | ~ hskp12 ),
    inference(spm,[status(thm)],[100420,66770,theory(equality)]) ).

cnf(100429,negated_conjecture,
    ( hskp28
    | ~ hskp12 ),
    inference(csr,[status(thm)],[100422,80551]) ).

cnf(100526,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[98350,99227]) ).

cnf(100527,negated_conjecture,
    ( hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[100526,98093]) ).

cnf(100687,negated_conjecture,
    ( hskp21
    | ~ hskp5
    | ~ c3_1(a13)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[98246,26705,theory(equality)]) ).

cnf(100774,negated_conjecture,
    ( hskp31
    | hskp28
    | hskp12 ),
    inference(csr,[status(thm)],[98786,97811]) ).

cnf(100775,negated_conjecture,
    ( hskp31
    | hskp28 ),
    inference(csr,[status(thm)],[100774,100429]) ).

cnf(100777,negated_conjecture,
    ( hskp21
    | hskp28
    | ~ hskp30 ),
    inference(spm,[status(thm)],[8168,100775,theory(equality)]) ).

cnf(100863,negated_conjecture,
    ( hskp28
    | hskp21 ),
    inference(csr,[status(thm)],[100777,98149]) ).

cnf(101097,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp28 ),
    inference(csr,[status(thm)],[98918,68636]) ).

cnf(101098,negated_conjecture,
    ( hskp21
    | hskp12 ),
    inference(csr,[status(thm)],[101097,100863]) ).

cnf(102749,negated_conjecture,
    ( hskp21
    | ~ hskp5
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[100687,100863]) ).

cnf(102750,negated_conjecture,
    ( hskp21
    | ~ c3_1(a13) ),
    inference(csr,[status(thm)],[102749,39201]) ).

cnf(102883,negated_conjecture,
    ( c3_1(a36)
    | c3_1(a39)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp20
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[6092,55]) ).

cnf(102884,negated_conjecture,
    ( c3_1(a36)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp20
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[102883,54]) ).

cnf(102893,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp20
    | ~ hskp21
    | ~ c0_1(a36) ),
    inference(spm,[status(thm)],[58,102884,theory(equality)]) ).

cnf(103567,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp21
    | ~ hskp20 ),
    inference(csr,[status(thm)],[102893,60]) ).

cnf(103782,negated_conjecture,
    ( c3_1(a13)
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[98447,78]) ).

cnf(103812,negated_conjecture,
    ( hskp21
    | ~ hskp15
    | ~ c0_1(a29) ),
    inference(spm,[status(thm)],[102750,103782,theory(equality)]) ).

cnf(103824,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a29) ),
    inference(csr,[status(thm)],[103812,98061]) ).

cnf(103826,negated_conjecture,
    ( hskp6
    | ~ hskp15 ),
    inference(spm,[status(thm)],[103824,39388,theory(equality)]) ).

cnf(104152,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[6488,1342]) ).

cnf(104544,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a10)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[6919,115]) ).

cnf(105511,negated_conjecture,
    ( c2_1(X1)
    | c1_1(a5)
    | c0_1(X1)
    | ~ hskp21
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[7265,131]) ).

cnf(105512,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ hskp21
    | ~ hskp2
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[105511,130]) ).

cnf(105520,negated_conjecture,
    ( c0_1(a29)
    | ~ hskp15
    | ~ hskp21
    | ~ hskp2
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[79,105512,theory(equality)]) ).

cnf(106469,negated_conjecture,
    ( c0_1(a29)
    | ~ hskp21
    | ~ hskp15
    | ~ hskp2 ),
    inference(csr,[status(thm)],[105520,80]) ).

cnf(106470,negated_conjecture,
    ( ~ hskp21
    | ~ hskp15
    | ~ hskp2 ),
    inference(csr,[status(thm)],[106469,103824]) ).

cnf(106473,negated_conjecture,
    ( hskp30
    | ~ hskp21
    | ~ hskp2 ),
    inference(spm,[status(thm)],[106470,90083,theory(equality)]) ).

cnf(106476,negated_conjecture,
    ( hskp30
    | ~ hskp21 ),
    inference(csr,[status(thm)],[106473,89638]) ).

cnf(106477,negated_conjecture,
    hskp30,
    inference(csr,[status(thm)],[106476,99407]) ).

cnf(106488,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | $false
    | ~ c3_1(X1)
    | ~ c1_1(a20) ),
    inference(rw,[status(thm)],[98697,106477,theory(equality)]) ).

cnf(106489,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a20) ),
    inference(cn,[status(thm)],[106488,theory(equality)]) ).

cnf(106543,negated_conjecture,
    ( c1_1(a21)
    | c1_1(a20)
    | $false
    | ~ hskp11 ),
    inference(rw,[status(thm)],[84411,106477,theory(equality)]) ).

cnf(106544,negated_conjecture,
    ( c1_1(a21)
    | c1_1(a20)
    | ~ hskp11 ),
    inference(cn,[status(thm)],[106543,theory(equality)]) ).

cnf(106549,negated_conjecture,
    ( c1_1(a20)
    | $false
    | ~ hskp9 ),
    inference(rw,[status(thm)],[84093,106477,theory(equality)]) ).

cnf(106550,negated_conjecture,
    ( c1_1(a20)
    | ~ hskp9 ),
    inference(cn,[status(thm)],[106549,theory(equality)]) ).

cnf(106594,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a32)
    | c1_1(X1)
    | $false
    | ~ hskp17 ),
    inference(rw,[status(thm)],[82616,106477,theory(equality)]) ).

cnf(106595,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a32)
    | c1_1(X1)
    | ~ hskp17 ),
    inference(cn,[status(thm)],[106594,theory(equality)]) ).

cnf(106626,negated_conjecture,
    ( c1_1(X1)
    | $false
    | ~ hskp12
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[58086,106477,theory(equality)]) ).

cnf(106627,negated_conjecture,
    ( c1_1(X1)
    | ~ hskp12
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[106626,theory(equality)]) ).

cnf(106650,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp4
    | $false ),
    inference(rw,[status(thm)],[22997,106477,theory(equality)]) ).

cnf(106651,negated_conjecture,
    ( hskp24
    | hskp12
    | hskp4 ),
    inference(cn,[status(thm)],[106650,theory(equality)]) ).

cnf(106671,negated_conjecture,
    ( hskp12
    | $false
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(rw,[status(thm)],[14406,106477,theory(equality)]) ).

cnf(106672,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(cn,[status(thm)],[106671,theory(equality)]) ).

cnf(106692,negated_conjecture,
    ( hskp21
    | $false
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(rw,[status(thm)],[8051,106477,theory(equality)]) ).

cnf(106693,negated_conjecture,
    ( hskp21
    | ~ hskp12
    | ~ c0_1(a24) ),
    inference(cn,[status(thm)],[106692,theory(equality)]) ).

cnf(107438,negated_conjecture,
    ( hskp12
    | hskp4 ),
    inference(csr,[status(thm)],[106651,70022]) ).

cnf(108880,negated_conjecture,
    ( hskp12
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[106672,98416]) ).

cnf(108914,negated_conjecture,
    ( hskp12
    | c3_1(a21)
    | ~ hskp4
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[108880,98189,theory(equality)]) ).

cnf(109023,negated_conjecture,
    ( hskp21
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[106693,101098]) ).

cnf(113157,negated_conjecture,
    ( hskp12
    | c3_1(a21)
    | ~ c0_1(a21) ),
    inference(csr,[status(thm)],[108914,107438]) ).

cnf(113158,negated_conjecture,
    ( hskp12
    | ~ hskp11
    | ~ c0_1(a21) ),
    inference(spm,[status(thm)],[94,113157,theory(equality)]) ).

cnf(113166,negated_conjecture,
    ( hskp12
    | ~ hskp11 ),
    inference(csr,[status(thm)],[113158,96]) ).

cnf(113167,negated_conjecture,
    hskp12,
    inference(csr,[status(thm)],[113166,98416]) ).

cnf(113185,negated_conjecture,
    ( c1_1(X1)
    | $false
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[106627,113167,theory(equality)]) ).

cnf(113186,negated_conjecture,
    ( c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[113185,theory(equality)]) ).

cnf(113252,negated_conjecture,
    ( c0_1(a24)
    | $false
    | ~ hskp6
    | ~ c0_1(a10) ),
    inference(rw,[status(thm)],[93008,113167,theory(equality)]) ).

cnf(113253,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp6
    | ~ c0_1(a10) ),
    inference(cn,[status(thm)],[113252,theory(equality)]) ).

cnf(113340,negated_conjecture,
    ( hskp15
    | $false
    | ~ c0_1(a24) ),
    inference(rw,[status(thm)],[12822,113167,theory(equality)]) ).

cnf(113341,negated_conjecture,
    ( hskp15
    | ~ c0_1(a24) ),
    inference(cn,[status(thm)],[113340,theory(equality)]) ).

cnf(113344,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | $false
    | ~ c0_1(a24) ),
    inference(rw,[status(thm)],[11788,113167,theory(equality)]) ).

cnf(113345,negated_conjecture,
    ( hskp17
    | ~ hskp18
    | ~ c0_1(a24) ),
    inference(cn,[status(thm)],[113344,theory(equality)]) ).

cnf(113354,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | $false
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[3483,113167,theory(equality)]) ).

cnf(113355,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(a24)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[113354,theory(equality)]) ).

cnf(113362,negated_conjecture,
    ( hskp16
    | $false ),
    inference(rw,[status(thm)],[1437,113167,theory(equality)]) ).

cnf(113363,negated_conjecture,
    hskp16,
    inference(cn,[status(thm)],[113362,theory(equality)]) ).

cnf(113365,negated_conjecture,
    ( $false
    | ~ c2_1(a24) ),
    inference(rw,[status(thm)],[90,113167,theory(equality)]) ).

cnf(113366,negated_conjecture,
    ~ c2_1(a24),
    inference(cn,[status(thm)],[113365,theory(equality)]) ).

cnf(113367,negated_conjecture,
    ( c3_1(a24)
    | $false ),
    inference(rw,[status(thm)],[91,113167,theory(equality)]) ).

cnf(113368,negated_conjecture,
    c3_1(a24),
    inference(cn,[status(thm)],[113367,theory(equality)]) ).

cnf(113369,negated_conjecture,
    ( c1_1(a24)
    | $false ),
    inference(rw,[status(thm)],[92,113167,theory(equality)]) ).

cnf(113370,negated_conjecture,
    c1_1(a24),
    inference(cn,[status(thm)],[113369,theory(equality)]) ).

cnf(113549,negated_conjecture,
    ( hskp15
    | $false
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(rw,[status(thm)],[12726,113363,theory(equality)]) ).

cnf(113550,negated_conjecture,
    ( hskp15
    | ~ hskp11
    | ~ c1_1(a21) ),
    inference(cn,[status(thm)],[113549,theory(equality)]) ).

cnf(113564,negated_conjecture,
    ( $false
    | ~ c1_1(a30) ),
    inference(rw,[status(thm)],[74,113363,theory(equality)]) ).

cnf(113565,negated_conjecture,
    ~ c1_1(a30),
    inference(cn,[status(thm)],[113564,theory(equality)]) ).

cnf(113566,negated_conjecture,
    ( c3_1(a30)
    | $false ),
    inference(rw,[status(thm)],[75,113363,theory(equality)]) ).

cnf(113567,negated_conjecture,
    c3_1(a30),
    inference(cn,[status(thm)],[113566,theory(equality)]) ).

cnf(113568,negated_conjecture,
    ( c2_1(a30)
    | $false ),
    inference(rw,[status(thm)],[76,113363,theory(equality)]) ).

cnf(113569,negated_conjecture,
    c2_1(a30),
    inference(cn,[status(thm)],[113568,theory(equality)]) ).

cnf(113648,negated_conjecture,
    ( c0_1(a24)
    | ~ c3_1(a24)
    | ~ c1_1(a20) ),
    inference(spm,[status(thm)],[113366,106489,theory(equality)]) ).

cnf(113678,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a24)
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[1310,113370,theory(equality)]) ).

cnf(113715,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a24)
    | $false ),
    inference(rw,[status(thm)],[113678,113368,theory(equality)]) ).

cnf(113716,negated_conjecture,
    ( hskp19
    | hskp11
    | c0_1(a24) ),
    inference(cn,[status(thm)],[113715,theory(equality)]) ).

cnf(113910,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a30)
    | ~ c3_1(a30) ),
    inference(spm,[status(thm)],[1316,113569,theory(equality)]) ).

cnf(113940,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a30)
    | $false ),
    inference(rw,[status(thm)],[113910,113567,theory(equality)]) ).

cnf(113941,negated_conjecture,
    ( hskp20
    | hskp4
    | c0_1(a30) ),
    inference(cn,[status(thm)],[113940,theory(equality)]) ).

cnf(114128,negated_conjecture,
    ( hskp15
    | hskp19
    | hskp11 ),
    inference(spm,[status(thm)],[113341,113716,theory(equality)]) ).

cnf(114153,negated_conjecture,
    ( ~ c3_1(a30)
    | ~ c0_1(a24)
    | ~ c0_1(a30) ),
    inference(spm,[status(thm)],[113565,113186,theory(equality)]) ).

cnf(114205,negated_conjecture,
    ( $false
    | ~ c0_1(a24)
    | ~ c0_1(a30) ),
    inference(rw,[status(thm)],[114153,113567,theory(equality)]) ).

cnf(114206,negated_conjecture,
    ( ~ c0_1(a24)
    | ~ c0_1(a30) ),
    inference(cn,[status(thm)],[114205,theory(equality)]) ).

cnf(114210,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp11 ),
    inference(spm,[status(thm)],[40251,114128,theory(equality)]) ).

cnf(114215,negated_conjecture,
    ( hskp11
    | hskp6 ),
    inference(csr,[status(thm)],[114210,103826]) ).

cnf(114837,negated_conjecture,
    ( hskp20
    | hskp4
    | ~ c0_1(a24) ),
    inference(spm,[status(thm)],[114206,113941,theory(equality)]) ).

cnf(114843,negated_conjecture,
    ( hskp17
    | ~ c0_1(a24) ),
    inference(csr,[status(thm)],[113345,98420]) ).

cnf(115581,negated_conjecture,
    ( c0_1(a24)
    | $false
    | ~ c1_1(a20) ),
    inference(rw,[status(thm)],[113648,113368,theory(equality)]) ).

cnf(115582,negated_conjecture,
    ( c0_1(a24)
    | ~ c1_1(a20) ),
    inference(cn,[status(thm)],[115581,theory(equality)]) ).

cnf(115603,negated_conjecture,
    ( c0_1(a24)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[115582,106550,theory(equality)]) ).

cnf(115607,negated_conjecture,
    ( c0_1(a24)
    | c1_1(a21)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[115582,106544,theory(equality)]) ).

cnf(115734,negated_conjecture,
    ( hskp17
    | ~ hskp9 ),
    inference(spm,[status(thm)],[114843,115603,theory(equality)]) ).

cnf(115764,negated_conjecture,
    hskp17,
    inference(csr,[status(thm)],[115734,100527]) ).

cnf(115773,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a32)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[106595,115764,theory(equality)]) ).

cnf(115774,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(a32)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[115773,theory(equality)]) ).

cnf(115806,negated_conjecture,
    ( $false
    | ~ c3_1(a32) ),
    inference(rw,[status(thm)],[70,115764,theory(equality)]) ).

cnf(115807,negated_conjecture,
    ~ c3_1(a32),
    inference(cn,[status(thm)],[115806,theory(equality)]) ).

cnf(115810,negated_conjecture,
    ( c0_1(a32)
    | $false ),
    inference(rw,[status(thm)],[72,115764,theory(equality)]) ).

cnf(115811,negated_conjecture,
    c0_1(a32),
    inference(cn,[status(thm)],[115810,theory(equality)]) ).

cnf(116559,negated_conjecture,
    ( hskp15
    | c0_1(a24)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[113550,115607,theory(equality)]) ).

cnf(116561,negated_conjecture,
    ( hskp15
    | ~ hskp11 ),
    inference(csr,[status(thm)],[116559,113341]) ).

cnf(116562,negated_conjecture,
    ( hskp15
    | hskp6 ),
    inference(spm,[status(thm)],[116561,114215,theory(equality)]) ).

cnf(116634,negated_conjecture,
    hskp6,
    inference(csr,[status(thm)],[116562,103826]) ).

cnf(116647,negated_conjecture,
    ( c0_1(a24)
    | $false
    | ~ c0_1(a10) ),
    inference(rw,[status(thm)],[113253,116634,theory(equality)]) ).

cnf(116648,negated_conjecture,
    ( c0_1(a24)
    | ~ c0_1(a10) ),
    inference(cn,[status(thm)],[116647,theory(equality)]) ).

cnf(116681,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a10)
    | c0_1(X1)
    | $false
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[104544,116634,theory(equality)]) ).

cnf(116682,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a10)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[116681,theory(equality)]) ).

cnf(116694,negated_conjecture,
    ( $false
    | ~ hskp4
    | ~ c0_1(a10) ),
    inference(rw,[status(thm)],[98165,116634,theory(equality)]) ).

cnf(116695,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a10) ),
    inference(cn,[status(thm)],[116694,theory(equality)]) ).

cnf(116762,negated_conjecture,
    ( hskp9
    | ~ hskp15
    | $false ),
    inference(rw,[status(thm)],[33295,116634,theory(equality)]) ).

cnf(116763,negated_conjecture,
    ( hskp9
    | ~ hskp15 ),
    inference(cn,[status(thm)],[116762,theory(equality)]) ).

cnf(118276,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a24)
    | ~ c1_1(a24) ),
    inference(spm,[status(thm)],[113366,116682,theory(equality)]) ).

cnf(118307,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a24)
    | $false ),
    inference(rw,[status(thm)],[118276,113370,theory(equality)]) ).

cnf(118308,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a24) ),
    inference(cn,[status(thm)],[118307,theory(equality)]) ).

cnf(118309,negated_conjecture,
    c0_1(a24),
    inference(csr,[status(thm)],[118308,116648]) ).

cnf(118326,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[113355,118309,theory(equality)]) ).

cnf(118327,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[118326,theory(equality)]) ).

cnf(118330,negated_conjecture,
    ( hskp20
    | hskp4
    | $false ),
    inference(rw,[status(thm)],[114837,118309,theory(equality)]) ).

cnf(118331,negated_conjecture,
    ( hskp20
    | hskp4 ),
    inference(cn,[status(thm)],[118330,theory(equality)]) ).

cnf(118337,negated_conjecture,
    ( $false
    | ~ c0_1(a30) ),
    inference(rw,[status(thm)],[114206,118309,theory(equality)]) ).

cnf(118338,negated_conjecture,
    ~ c0_1(a30),
    inference(cn,[status(thm)],[118337,theory(equality)]) ).

cnf(118359,negated_conjecture,
    ( hskp15
    | $false ),
    inference(rw,[status(thm)],[113341,118309,theory(equality)]) ).

cnf(118360,negated_conjecture,
    hskp15,
    inference(cn,[status(thm)],[118359,theory(equality)]) ).

cnf(118373,negated_conjecture,
    ( hskp21
    | $false ),
    inference(rw,[status(thm)],[109023,118309,theory(equality)]) ).

cnf(118374,negated_conjecture,
    hskp21,
    inference(cn,[status(thm)],[118373,theory(equality)]) ).

cnf(118451,negated_conjecture,
    ( hskp9
    | $false ),
    inference(rw,[status(thm)],[116763,118360,theory(equality)]) ).

cnf(118452,negated_conjecture,
    hskp9,
    inference(cn,[status(thm)],[118451,theory(equality)]) ).

cnf(118472,negated_conjecture,
    ( $false
    | ~ c0_1(a29) ),
    inference(rw,[status(thm)],[103824,118360,theory(equality)]) ).

cnf(118473,negated_conjecture,
    ~ c0_1(a29),
    inference(cn,[status(thm)],[118472,theory(equality)]) ).

cnf(118496,negated_conjecture,
    ( $false
    | ~ c2_1(a29) ),
    inference(rw,[status(thm)],[79,118360,theory(equality)]) ).

cnf(118497,negated_conjecture,
    ~ c2_1(a29),
    inference(cn,[status(thm)],[118496,theory(equality)]) ).

cnf(118498,negated_conjecture,
    ( c1_1(a29)
    | $false ),
    inference(rw,[status(thm)],[80,118360,theory(equality)]) ).

cnf(118499,negated_conjecture,
    c1_1(a29),
    inference(cn,[status(thm)],[118498,theory(equality)]) ).

cnf(118526,negated_conjecture,
    ( c3_1(a36)
    | $false
    | ~ hskp20 ),
    inference(rw,[status(thm)],[103567,118374,theory(equality)]) ).

cnf(118527,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp20 ),
    inference(cn,[status(thm)],[118526,theory(equality)]) ).

cnf(118607,negated_conjecture,
    ( $false
    | ~ c3_1(a15) ),
    inference(rw,[status(thm)],[102,118452,theory(equality)]) ).

cnf(118608,negated_conjecture,
    ~ c3_1(a15),
    inference(cn,[status(thm)],[118607,theory(equality)]) ).

cnf(118609,negated_conjecture,
    ( $false
    | ~ c2_1(a15) ),
    inference(rw,[status(thm)],[103,118452,theory(equality)]) ).

cnf(118610,negated_conjecture,
    ~ c2_1(a15),
    inference(cn,[status(thm)],[118609,theory(equality)]) ).

cnf(118611,negated_conjecture,
    ( $false
    | ~ c1_1(a15) ),
    inference(rw,[status(thm)],[104,118452,theory(equality)]) ).

cnf(118612,negated_conjecture,
    ~ c1_1(a15),
    inference(cn,[status(thm)],[118611,theory(equality)]) ).

cnf(119097,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a29)
    | ~ c1_1(a29) ),
    inference(spm,[status(thm)],[118497,116682,theory(equality)]) ).

cnf(119172,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a29)
    | $false ),
    inference(rw,[status(thm)],[119097,118499,theory(equality)]) ).

cnf(119173,negated_conjecture,
    ( c0_1(a10)
    | c0_1(a29) ),
    inference(cn,[status(thm)],[119172,theory(equality)]) ).

cnf(119174,negated_conjecture,
    c0_1(a10),
    inference(sr,[status(thm)],[119173,118473,theory(equality)]) ).

cnf(119188,negated_conjecture,
    ( ~ hskp4
    | $false ),
    inference(rw,[status(thm)],[116695,119174,theory(equality)]) ).

cnf(119189,negated_conjecture,
    ~ hskp4,
    inference(cn,[status(thm)],[119188,theory(equality)]) ).

cnf(119192,negated_conjecture,
    hskp20,
    inference(sr,[status(thm)],[118331,119189,theory(equality)]) ).

cnf(119223,negated_conjecture,
    ( $false
    | ~ c2_1(a36) ),
    inference(rw,[status(thm)],[58,119192,theory(equality)]) ).

cnf(119224,negated_conjecture,
    ~ c2_1(a36),
    inference(cn,[status(thm)],[119223,theory(equality)]) ).

cnf(119225,negated_conjecture,
    ( c1_1(a36)
    | $false ),
    inference(rw,[status(thm)],[59,119192,theory(equality)]) ).

cnf(119226,negated_conjecture,
    c1_1(a36),
    inference(cn,[status(thm)],[119225,theory(equality)]) ).

cnf(119274,negated_conjecture,
    ( c3_1(a15)
    | c1_1(a32)
    | c1_1(a15) ),
    inference(spm,[status(thm)],[118610,115774,theory(equality)]) ).

cnf(119292,negated_conjecture,
    ( c1_1(a32)
    | c1_1(a15) ),
    inference(sr,[status(thm)],[119274,118608,theory(equality)]) ).

cnf(119354,negated_conjecture,
    c1_1(a32),
    inference(sr,[status(thm)],[119292,118612,theory(equality)]) ).

cnf(119642,negated_conjecture,
    ( c3_1(a36)
    | $false ),
    inference(rw,[status(thm)],[118527,119192,theory(equality)]) ).

cnf(119643,negated_conjecture,
    c3_1(a36),
    inference(cn,[status(thm)],[119642,theory(equality)]) ).

cnf(119648,negated_conjecture,
    ( c2_1(a36)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1)
    | ~ c1_1(a36) ),
    inference(spm,[status(thm)],[104152,119643,theory(equality)]) ).

cnf(119654,negated_conjecture,
    ( c2_1(a36)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[119648,119226,theory(equality)]) ).

cnf(119655,negated_conjecture,
    ( c2_1(a36)
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[119654,theory(equality)]) ).

cnf(119656,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(a30)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[119655,119224,theory(equality)]) ).

cnf(119657,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[119656,118338,theory(equality)]) ).

cnf(119756,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[118327,119657]) ).

cnf(119763,negated_conjecture,
    ( c3_1(a32)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c0_1(a32) ),
    inference(spm,[status(thm)],[119756,119354,theory(equality)]) ).

cnf(119798,negated_conjecture,
    ( c3_1(a32)
    | c2_1(X1)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[119763,115811,theory(equality)]) ).

cnf(119799,negated_conjecture,
    ( c3_1(a32)
    | c2_1(X1)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[119798,theory(equality)]) ).

cnf(119800,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1) ),
    inference(sr,[status(thm)],[119799,115807,theory(equality)]) ).

cnf(119823,negated_conjecture,
    c0_1(a29),
    inference(spm,[status(thm)],[118497,119800,theory(equality)]) ).

cnf(119839,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[119823,118473,theory(equality)]) ).

cnf(119840,negated_conjecture,
    $false,
    119839,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN465+1.p
% --creating new selector for []
% -running prover on /tmp/tmpUALOwb/sel_SYN465+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN465+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN465+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN465+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
% 
%------------------------------------------------------------------------------