TSTP Solution File: SYN498+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN498+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art03.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 13:44:42 EST 2010

% Result   : Theorem 8.31s
% Output   : CNFRefutation 8.31s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 1665

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1)
          & c2_1(a1)
          & ~ c3_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a2)
          & ~ c2_1(a2)
          & ~ c3_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a3)
          & c3_1(a3)
          & ~ c2_1(a3) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a7)
          & c3_1(a7)
          & ~ c2_1(a7) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a9)
          & ~ c2_1(a9)
          & ~ c3_1(a9) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a11)
          & ~ c1_1(a11)
          & ~ c2_1(a11) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a13)
          & ~ c1_1(a13)
          & ~ c3_1(a13) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a14)
          & ~ c0_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a16)
          & c1_1(a16)
          & ~ c3_1(a16) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a18)
          & ~ c0_1(a18)
          & ~ c1_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a19)
          & ~ c0_1(a19)
          & ~ c3_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a20)
          & ~ c1_1(a20)
          & ~ c3_1(a20) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a21)
          & c2_1(a21)
          & ~ c3_1(a21) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a22)
          & c3_1(a22)
          & ~ c0_1(a22) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a24)
          & ~ c1_1(a24)
          & ~ c2_1(a24) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a27)
          & c3_1(a27)
          & ~ c1_1(a27) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a28)
          & ~ c0_1(a28)
          & ~ c2_1(a28) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a31)
          & ~ c0_1(a31)
          & ~ c3_1(a31) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a36)
          & c3_1(a36)
          & ~ c1_1(a36) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a37)
          & c3_1(a37)
          & ~ c0_1(a37) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a38)
          & c1_1(a38)
          & ~ c2_1(a38) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a42)
          & c2_1(a42)
          & ~ c1_1(a42) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a45)
          & ~ c1_1(a45)
          & ~ c2_1(a45) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c2_1(a58)
          & ~ c0_1(a58)
          & ~ c1_1(a58) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a70)
          & ~ c1_1(a70)
          & ~ c3_1(a70) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a99)
          & c2_1(a99)
          & ~ c0_1(a99) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a12)
          & c1_1(a12)
          & c3_1(a12) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a25)
          & c2_1(a25)
          & c3_1(a25) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a35)
          & c1_1(a35)
          & c2_1(a35) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a54)
          & c2_1(a54)
          & c3_1(a54) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c1_1(X2)
              | c3_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c3_1(X3)
              | ~ c1_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c3_1(X4) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | ~ c0_1(X5)
              | ~ c1_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | ~ c1_1(X6)
              | ~ c3_1(X6) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | c3_1(X7) ) )
        | hskp0
        | hskp1 )
      & ( ! [X8] :
            ( ndr1_0
           => ( c0_1(X8)
              | c1_1(X8)
              | c3_1(X8) ) )
        | hskp2
        | hskp1 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c0_1(X9)
              | c1_1(X9)
              | ~ c2_1(X9) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c2_1(X10)
              | ~ c3_1(X10) ) )
        | hskp2 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c0_1(X11)
              | c1_1(X11)
              | ~ c2_1(X11) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c2_1(X12)
              | ~ c1_1(X12)
              | ~ c3_1(X12) ) )
        | hskp1 )
      & ( ! [X13] :
            ( ndr1_0
           => ( c0_1(X13)
              | c1_1(X13)
              | ~ c2_1(X13) ) )
        | hskp3
        | hskp0 )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c1_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | c2_1(X15)
              | ~ c3_1(X15) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c1_1(X16)
              | c2_1(X16)
              | ~ c0_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c1_1(X18)
              | ~ c3_1(X18) ) )
        | hskp4 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | ~ c2_1(X20)
              | ~ c3_1(X20) ) )
        | hskp0 )
      & ( ! [X21] :
            ( ndr1_0
           => ( c0_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c1_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c1_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) )
        | hskp5 )
      & ( ! [X26] :
            ( ndr1_0
           => ( c0_1(X26)
              | c2_1(X26)
              | c3_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( c1_1(X27)
              | ~ c0_1(X27)
              | ~ c2_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c3_1(X28)
              | ~ c1_1(X28)
              | ~ c2_1(X28) ) ) )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | c3_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c2_1(X30)
              | ~ c0_1(X30)
              | ~ c1_1(X30) ) )
        | hskp27 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | c3_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c1_1(X32)
              | ~ c3_1(X32) ) )
        | hskp6 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | c3_1(X33) ) )
        | hskp7
        | hskp8 )
      & ( ! [X34] :
            ( ndr1_0
           => ( c0_1(X34)
              | c2_1(X34)
              | ~ c1_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c1_1(X35)
              | ~ c2_1(X35)
              | ~ c3_1(X35) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c2_1(X36)
              | c3_1(X36)
              | ~ c0_1(X36) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c2_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) )
        | hskp9 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c2_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c0_1(X40)
              | ~ c1_1(X40)
              | ~ c2_1(X40) ) )
        | hskp6 )
      & ( ! [X41] :
            ( ndr1_0
           => ( c0_1(X41)
              | c2_1(X41)
              | ~ c3_1(X41) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c1_1(X42)
              | ~ c2_1(X42)
              | ~ c3_1(X42) ) )
        | hskp10 )
      & ( ! [X43] :
            ( ndr1_0
           => ( c0_1(X43)
              | c2_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c3_1(X45)
              | ~ c1_1(X45)
              | ~ c2_1(X45) ) ) )
      & ( ! [X46] :
            ( ndr1_0
           => ( c0_1(X46)
              | c2_1(X46)
              | ~ c3_1(X46) ) )
        | ! [X47] :
            ( ndr1_0
           => ( c2_1(X47)
              | ~ c0_1(X47)
              | ~ c3_1(X47) ) )
        | hskp11 )
      & ( ! [X48] :
            ( ndr1_0
           => ( c0_1(X48)
              | c2_1(X48)
              | ~ c3_1(X48) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c3_1(X49)
              | ~ c0_1(X49)
              | ~ c1_1(X49) ) )
        | hskp12 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c2_1(X50)
              | ~ c3_1(X50) ) )
        | hskp13
        | hskp14 )
      & ( ! [X51] :
            ( ndr1_0
           => ( c0_1(X51)
              | c2_1(X51)
              | ~ c3_1(X51) ) )
        | hskp5
        | hskp15 )
      & ( ! [X52] :
            ( ndr1_0
           => ( c0_1(X52)
              | c2_1(X52)
              | ~ c3_1(X52) ) )
        | hskp28
        | hskp7 )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c1_1(X53) ) )
        | hskp16
        | hskp17 )
      & ( ! [X54] :
            ( ndr1_0
           => ( c0_1(X54)
              | c3_1(X54)
              | ~ c2_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c2_1(X55)
              | c3_1(X55) ) )
        | ! [X56] :
            ( ndr1_0
           => ( c1_1(X56)
              | c3_1(X56)
              | ~ c0_1(X56) ) ) )
      & ( ! [X57] :
            ( ndr1_0
           => ( c0_1(X57)
              | c3_1(X57)
              | ~ c2_1(X57) ) )
        | ! [X58] :
            ( ndr1_0
           => ( c3_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | hskp6 )
      & ( ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c3_1(X59)
              | ~ c2_1(X59) ) )
        | hskp3
        | hskp18 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | hskp11
        | hskp15 )
      & ( ! [X61] :
            ( ndr1_0
           => ( c0_1(X61)
              | ~ c1_1(X61)
              | ~ c2_1(X61) ) )
        | ! [X62] :
            ( ndr1_0
           => ( c1_1(X62)
              | c2_1(X62)
              | c3_1(X62) ) )
        | hskp9 )
      & ( ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c1_1(X63)
              | ~ c3_1(X63) ) )
        | hskp29
        | hskp19 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c0_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c3_1(X65)
              | ~ c1_1(X65)
              | ~ c2_1(X65) ) )
        | hskp20 )
      & ( ! [X66] :
            ( ndr1_0
           => ( c0_1(X66)
              | ~ c2_1(X66)
              | ~ c3_1(X66) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c2_1(X68)
              | ~ c3_1(X68) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c0_1(X69)
              | ~ c2_1(X69)
              | ~ c3_1(X69) ) )
        | hskp21
        | hskp17 )
      & ( ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c2_1(X70)
              | c3_1(X70) ) )
        | hskp21
        | hskp20 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | ~ c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c2_1(X72)
              | ~ c0_1(X72)
              | ~ c3_1(X72) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | ~ c1_1(X73)
              | ~ c2_1(X73) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( c1_1(X74)
              | c2_1(X74)
              | ~ c3_1(X74) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c1_1(X75)
              | ~ c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | ~ c1_1(X76)
              | ~ c3_1(X76) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | ~ c3_1(X77) ) )
        | hskp22
        | hskp20 )
      & ( ! [X78] :
            ( ndr1_0
           => ( c1_1(X78)
              | c2_1(X78)
              | ~ c3_1(X78) ) )
        | hskp22
        | hskp23 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp13
        | hskp18 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c3_1(X80)
              | ~ c0_1(X80) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c0_1(X81)
              | ~ c2_1(X81) ) )
        | hskp18 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | hskp10
        | hskp1 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | ~ c0_1(X83)
              | ~ c2_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c0_1(X84)
              | ~ c1_1(X84)
              | ~ c3_1(X84) ) )
        | hskp12 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) )
        | hskp9
        | hskp15 )
      & ( ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | ~ c0_1(X86)
              | ~ c2_1(X86) ) )
        | hskp30
        | hskp12 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | ~ c0_1(X87)
              | ~ c3_1(X87) ) )
        | ! [X88] :
            ( ndr1_0
           => ( c3_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | hskp20 )
      & ( ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c0_1(X89)
              | ~ c3_1(X89) ) )
        | hskp13
        | hskp24 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | hskp4
        | hskp15 )
      & ( ! [X91] :
            ( ndr1_0
           => ( c1_1(X91)
              | ~ c0_1(X91)
              | ~ c3_1(X91) ) )
        | hskp18
        | hskp23 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp21
        | hskp4 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | ~ c0_1(X93) ) )
        | hskp22
        | hskp12 )
      & ( ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | ~ c0_1(X94)
              | ~ c1_1(X94) ) )
        | ! [X95] :
            ( ndr1_0
           => ( c2_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | ! [X96] :
            ( ndr1_0
           => ( c3_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( ! [X97] :
            ( ndr1_0
           => ( c2_1(X97)
              | ~ c0_1(X97)
              | ~ c1_1(X97) ) )
        | hskp16
        | hskp14 )
      & ( ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c1_1(X98) ) )
        | hskp5
        | hskp25 )
      & ( ! [X99] :
            ( ndr1_0
           => ( c2_1(X99)
              | ~ c0_1(X99)
              | ~ c1_1(X99) ) )
        | hskp14
        | hskp17 )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | ~ c0_1(X100)
              | ~ c1_1(X100) ) )
        | hskp24
        | hskp6 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | ~ c0_1(X101)
              | ~ c3_1(X101) ) )
        | hskp29
        | hskp9 )
      & ( ! [X102] :
            ( ndr1_0
           => ( c2_1(X102)
              | ~ c1_1(X102)
              | ~ c3_1(X102) ) )
        | ! [X103] :
            ( ndr1_0
           => ( c3_1(X103)
              | ~ c1_1(X103)
              | ~ c2_1(X103) ) )
        | hskp9 )
      & ( ! [X104] :
            ( ndr1_0
           => ( c2_1(X104)
              | ~ c1_1(X104)
              | ~ c3_1(X104) ) )
        | hskp28
        | hskp0 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c3_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X106] :
            ( ndr1_0
           => ( ~ c0_1(X106)
              | ~ c1_1(X106)
              | ~ c3_1(X106) ) )
        | hskp8 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c3_1(X107)
              | ~ c0_1(X107)
              | ~ c1_1(X107) ) )
        | hskp21
        | hskp10 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c3_1(X108)
              | ~ c0_1(X108)
              | ~ c2_1(X108) ) )
        | ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c1_1(X109)
              | ~ c2_1(X109) ) )
        | hskp6 )
      & ( ! [X110] :
            ( ndr1_0
           => ( ~ c0_1(X110)
              | ~ c1_1(X110)
              | ~ c2_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c3_1(X111) ) )
        | hskp7 )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c0_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp19
        | hskp11 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c3_1(X113) ) )
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c2_1(X114)
              | ~ c3_1(X114) ) )
        | hskp25 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c1_1(X115)
              | ~ c3_1(X115) ) )
        | hskp27
        | hskp16 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c1_1(X116)
              | ~ c3_1(X116) ) )
        | hskp30
        | hskp3 )
      & ( ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) )
        | hskp22
        | hskp0 )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c0_1(X118)
              | ~ c1_1(X118)
              | ~ c3_1(X118) ) )
        | hskp5
        | hskp25 )
      & ( ! [X119] :
            ( ndr1_0
           => ( ~ c1_1(X119)
              | ~ c2_1(X119)
              | ~ c3_1(X119) ) )
        | hskp3
        | hskp24 )
      & ( hskp29
        | hskp26
        | hskp14 )
      & ( hskp27
        | hskp13
        | hskp8 )
      & ( hskp21
        | hskp13
        | hskp24 )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp16
        | hskp4
        | hskp2 )
      & ( hskp5
        | hskp25
        | hskp28 )
      & ( hskp4
        | hskp28
        | hskp19 )
      & ( hskp28
        | hskp20
        | hskp1 ) ),
    file('/tmp/tmplC5Kt3/sel_SYN498+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1)
            & c2_1(a1)
            & ~ c3_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a2)
            & ~ c2_1(a2)
            & ~ c3_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a3)
            & c3_1(a3)
            & ~ c2_1(a3) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a7)
            & c3_1(a7)
            & ~ c2_1(a7) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a9)
            & ~ c2_1(a9)
            & ~ c3_1(a9) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a11)
            & ~ c1_1(a11)
            & ~ c2_1(a11) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a13)
            & ~ c1_1(a13)
            & ~ c3_1(a13) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a14)
            & ~ c0_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a16)
            & c1_1(a16)
            & ~ c3_1(a16) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a18)
            & ~ c0_1(a18)
            & ~ c1_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a19)
            & ~ c0_1(a19)
            & ~ c3_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a20)
            & ~ c1_1(a20)
            & ~ c3_1(a20) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a21)
            & c2_1(a21)
            & ~ c3_1(a21) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a22)
            & c3_1(a22)
            & ~ c0_1(a22) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a24)
            & ~ c1_1(a24)
            & ~ c2_1(a24) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a27)
            & c3_1(a27)
            & ~ c1_1(a27) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a28)
            & ~ c0_1(a28)
            & ~ c2_1(a28) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a31)
            & ~ c0_1(a31)
            & ~ c3_1(a31) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a36)
            & c3_1(a36)
            & ~ c1_1(a36) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a37)
            & c3_1(a37)
            & ~ c0_1(a37) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a38)
            & c1_1(a38)
            & ~ c2_1(a38) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a45)
            & ~ c1_1(a45)
            & ~ c2_1(a45) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c2_1(a58)
            & ~ c0_1(a58)
            & ~ c1_1(a58) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a70)
            & ~ c1_1(a70)
            & ~ c3_1(a70) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a99)
            & c2_1(a99)
            & ~ c0_1(a99) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a12)
            & c1_1(a12)
            & c3_1(a12) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a25)
            & c2_1(a25)
            & c3_1(a25) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a35)
            & c1_1(a35)
            & c2_1(a35) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a54)
            & c2_1(a54)
            & c3_1(a54) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp0
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | hskp2
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | hskp1 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3
          | hskp0 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c2_1(X16)
                | ~ c0_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp0 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | hskp5 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c0_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) )
          | hskp27 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp6 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp7
          | hskp8 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | hskp6 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp10 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp11 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp13
          | hskp14 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp5
          | hskp15 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp28
          | hskp7 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp16
          | hskp17 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | hskp6 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp3
          | hskp18 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp11
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | c3_1(X62) ) )
          | hskp9 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp29
          | hskp19 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp20 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp21
          | hskp17 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp21
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp22
          | hskp20 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp22
          | hskp23 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp13
          | hskp18 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | hskp18 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp10
          | hskp1 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp9
          | hskp15 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp30
          | hskp12 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp20 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | hskp13
          | hskp24 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | hskp4
          | hskp15 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | hskp18
          | hskp23 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp21
          | hskp4 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp22
          | hskp12 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp16
          | hskp14 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp5
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp14
          | hskp17 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp24
          | hskp6 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp29
          | hskp9 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp9 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | hskp28
          | hskp0 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c3_1(X106) ) )
          | hskp8 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp21
          | hskp10 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp6 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp7 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp19
          | hskp11 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp25 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp27
          | hskp16 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp30
          | hskp3 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp22
          | hskp0 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | hskp5
          | hskp25 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp3
          | hskp24 )
        & ( hskp29
          | hskp26
          | hskp14 )
        & ( hskp27
          | hskp13
          | hskp8 )
        & ( hskp21
          | hskp13
          | hskp24 )
        & ( hskp9
          | hskp2
          | hskp17 )
        & ( hskp16
          | hskp4
          | hskp2 )
        & ( hskp5
          | hskp25
          | hskp28 )
        & ( hskp4
          | hskp28
          | hskp19 )
        & ( hskp28
          | hskp20
          | hskp1 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c1_1(a1)
            & c2_1(a1)
            & ~ c3_1(a1) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c0_1(a2)
            & ~ c2_1(a2)
            & ~ c3_1(a2) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c1_1(a3)
            & c3_1(a3)
            & ~ c2_1(a3) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c0_1(a7)
            & c3_1(a7)
            & ~ c2_1(a7) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c0_1(a9)
            & ~ c2_1(a9)
            & ~ c3_1(a9) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c0_1(a11)
            & ~ c1_1(a11)
            & ~ c2_1(a11) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c0_1(a13)
            & ~ c1_1(a13)
            & ~ c3_1(a13) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a14)
            & ~ c0_1(a14)
            & ~ c2_1(a14) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c1_1(a15)
            & ~ c2_1(a15)
            & ~ c3_1(a15) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a16)
            & c1_1(a16)
            & ~ c3_1(a16) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c3_1(a18)
            & ~ c0_1(a18)
            & ~ c1_1(a18) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c2_1(a19)
            & ~ c0_1(a19)
            & ~ c3_1(a19) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c2_1(a20)
            & ~ c1_1(a20)
            & ~ c3_1(a20) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c0_1(a21)
            & c2_1(a21)
            & ~ c3_1(a21) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c2_1(a22)
            & c3_1(a22)
            & ~ c0_1(a22) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a24)
            & ~ c1_1(a24)
            & ~ c2_1(a24) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c0_1(a27)
            & c3_1(a27)
            & ~ c1_1(a27) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c3_1(a28)
            & ~ c0_1(a28)
            & ~ c2_1(a28) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a31)
            & ~ c0_1(a31)
            & ~ c3_1(a31) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & c2_1(a36)
            & c3_1(a36)
            & ~ c1_1(a36) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & c1_1(a37)
            & c3_1(a37)
            & ~ c0_1(a37) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c0_1(a38)
            & c1_1(a38)
            & ~ c2_1(a38) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c3_1(a45)
            & ~ c1_1(a45)
            & ~ c2_1(a45) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c2_1(a58)
            & ~ c0_1(a58)
            & ~ c1_1(a58) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c0_1(a70)
            & ~ c1_1(a70)
            & ~ c3_1(a70) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a99)
            & c2_1(a99)
            & ~ c0_1(a99) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a12)
            & c1_1(a12)
            & c3_1(a12) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c1_1(a25)
            & c2_1(a25)
            & c3_1(a25) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a35)
            & c1_1(a35)
            & c2_1(a35) ) )
        & ( ~ hskp30
          | ( ndr1_0
            & c0_1(a54)
            & c2_1(a54)
            & c3_1(a54) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | c3_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | ~ c1_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c3_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | ~ c0_1(X5)
                | ~ c1_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | ~ c1_1(X6)
                | ~ c3_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp0
          | hskp1 )
        & ( ! [X8] :
              ( ndr1_0
             => ( c0_1(X8)
                | c1_1(X8)
                | c3_1(X8) ) )
          | hskp2
          | hskp1 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c0_1(X9)
                | c1_1(X9)
                | ~ c2_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c2_1(X10)
                | ~ c3_1(X10) ) )
          | hskp2 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | c1_1(X11)
                | ~ c2_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c2_1(X12)
                | ~ c1_1(X12)
                | ~ c3_1(X12) ) )
          | hskp1 )
        & ( ! [X13] :
              ( ndr1_0
             => ( c0_1(X13)
                | c1_1(X13)
                | ~ c2_1(X13) ) )
          | hskp3
          | hskp0 )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c1_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | c2_1(X15)
                | ~ c3_1(X15) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c1_1(X16)
                | c2_1(X16)
                | ~ c0_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | ~ c3_1(X18) ) )
          | hskp4 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | ~ c2_1(X20)
                | ~ c3_1(X20) ) )
          | hskp0 )
        & ( ! [X21] :
              ( ndr1_0
             => ( c0_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c1_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | hskp5 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c0_1(X26)
                | c2_1(X26)
                | c3_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c1_1(X27)
                | ~ c0_1(X27)
                | ~ c2_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c3_1(X28)
                | ~ c1_1(X28)
                | ~ c2_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c2_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) )
          | hskp27 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c1_1(X32)
                | ~ c3_1(X32) ) )
          | hskp6 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | c3_1(X33) ) )
          | hskp7
          | hskp8 )
        & ( ! [X34] :
              ( ndr1_0
             => ( c0_1(X34)
                | c2_1(X34)
                | ~ c1_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c1_1(X35)
                | ~ c2_1(X35)
                | ~ c3_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c2_1(X36)
                | c3_1(X36)
                | ~ c0_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) )
          | hskp9 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c2_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c0_1(X40)
                | ~ c1_1(X40)
                | ~ c2_1(X40) ) )
          | hskp6 )
        & ( ! [X41] :
              ( ndr1_0
             => ( c0_1(X41)
                | c2_1(X41)
                | ~ c3_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c1_1(X42)
                | ~ c2_1(X42)
                | ~ c3_1(X42) ) )
          | hskp10 )
        & ( ! [X43] :
              ( ndr1_0
             => ( c0_1(X43)
                | c2_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c3_1(X45)
                | ~ c1_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( c0_1(X46)
                | c2_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c2_1(X47)
                | ~ c0_1(X47)
                | ~ c3_1(X47) ) )
          | hskp11 )
        & ( ! [X48] :
              ( ndr1_0
             => ( c0_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c3_1(X49)
                | ~ c0_1(X49)
                | ~ c1_1(X49) ) )
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c2_1(X50)
                | ~ c3_1(X50) ) )
          | hskp13
          | hskp14 )
        & ( ! [X51] :
              ( ndr1_0
             => ( c0_1(X51)
                | c2_1(X51)
                | ~ c3_1(X51) ) )
          | hskp5
          | hskp15 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c0_1(X52)
                | c2_1(X52)
                | ~ c3_1(X52) ) )
          | hskp28
          | hskp7 )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c1_1(X53) ) )
          | hskp16
          | hskp17 )
        & ( ! [X54] :
              ( ndr1_0
             => ( c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c2_1(X55)
                | c3_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c3_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | hskp6 )
        & ( ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c3_1(X59)
                | ~ c2_1(X59) ) )
          | hskp3
          | hskp18 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | hskp11
          | hskp15 )
        & ( ! [X61] :
              ( ndr1_0
             => ( c0_1(X61)
                | ~ c1_1(X61)
                | ~ c2_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | c3_1(X62) ) )
          | hskp9 )
        & ( ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c1_1(X63)
                | ~ c3_1(X63) ) )
          | hskp29
          | hskp19 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c0_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c3_1(X65)
                | ~ c1_1(X65)
                | ~ c2_1(X65) ) )
          | hskp20 )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c3_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c2_1(X68)
                | ~ c3_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c0_1(X69)
                | ~ c2_1(X69)
                | ~ c3_1(X69) ) )
          | hskp21
          | hskp17 )
        & ( ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c2_1(X70)
                | c3_1(X70) ) )
          | hskp21
          | hskp20 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | ~ c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | ~ c0_1(X72)
                | ~ c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | ~ c1_1(X73)
                | ~ c2_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( c1_1(X74)
                | c2_1(X74)
                | ~ c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | ~ c3_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | ~ c3_1(X77) ) )
          | hskp22
          | hskp20 )
        & ( ! [X78] :
              ( ndr1_0
             => ( c1_1(X78)
                | c2_1(X78)
                | ~ c3_1(X78) ) )
          | hskp22
          | hskp23 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp13
          | hskp18 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c3_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c0_1(X81)
                | ~ c2_1(X81) ) )
          | hskp18 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | hskp10
          | hskp1 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | ~ c0_1(X83)
                | ~ c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | ~ c1_1(X84)
                | ~ c3_1(X84) ) )
          | hskp12 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) )
          | hskp9
          | hskp15 )
        & ( ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | ~ c0_1(X86)
                | ~ c2_1(X86) ) )
          | hskp30
          | hskp12 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | ~ c0_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( c3_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | hskp20 )
        & ( ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c0_1(X89)
                | ~ c3_1(X89) ) )
          | hskp13
          | hskp24 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | hskp4
          | hskp15 )
        & ( ! [X91] :
              ( ndr1_0
             => ( c1_1(X91)
                | ~ c0_1(X91)
                | ~ c3_1(X91) ) )
          | hskp18
          | hskp23 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp21
          | hskp4 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | ~ c0_1(X93) ) )
          | hskp22
          | hskp12 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( c2_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c3_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( ! [X97] :
              ( ndr1_0
             => ( c2_1(X97)
                | ~ c0_1(X97)
                | ~ c1_1(X97) ) )
          | hskp16
          | hskp14 )
        & ( ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c1_1(X98) ) )
          | hskp5
          | hskp25 )
        & ( ! [X99] :
              ( ndr1_0
             => ( c2_1(X99)
                | ~ c0_1(X99)
                | ~ c1_1(X99) ) )
          | hskp14
          | hskp17 )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | ~ c0_1(X100)
                | ~ c1_1(X100) ) )
          | hskp24
          | hskp6 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | ~ c0_1(X101)
                | ~ c3_1(X101) ) )
          | hskp29
          | hskp9 )
        & ( ! [X102] :
              ( ndr1_0
             => ( c2_1(X102)
                | ~ c1_1(X102)
                | ~ c3_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( c3_1(X103)
                | ~ c1_1(X103)
                | ~ c2_1(X103) ) )
          | hskp9 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c1_1(X104)
                | ~ c3_1(X104) ) )
          | hskp28
          | hskp0 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c0_1(X106)
                | ~ c1_1(X106)
                | ~ c3_1(X106) ) )
          | hskp8 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | ~ c0_1(X107)
                | ~ c1_1(X107) ) )
          | hskp21
          | hskp10 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | ~ c0_1(X108)
                | ~ c2_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c1_1(X109)
                | ~ c2_1(X109) ) )
          | hskp6 )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c0_1(X110)
                | ~ c1_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c3_1(X111) ) )
          | hskp7 )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c0_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp19
          | hskp11 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c3_1(X113) ) )
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c2_1(X114)
                | ~ c3_1(X114) ) )
          | hskp25 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) )
          | hskp27
          | hskp16 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c1_1(X116)
                | ~ c3_1(X116) ) )
          | hskp30
          | hskp3 )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) )
          | hskp22
          | hskp0 )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c0_1(X118)
                | ~ c1_1(X118)
                | ~ c3_1(X118) ) )
          | hskp5
          | hskp25 )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | ~ c2_1(X119)
                | ~ c3_1(X119) ) )
          | hskp3
          | hskp24 )
        & ( hskp29
          | hskp26
          | hskp14 )
        & ( hskp27
          | hskp13
          | hskp8 )
        & ( hskp21
          | hskp13
          | hskp24 )
        & ( hskp9
          | hskp2
          | hskp17 )
        & ( hskp16
          | hskp4
          | hskp2 )
        & ( hskp5
          | hskp25
          | hskp28 )
        & ( hskp4
          | hskp28
          | hskp19 )
        & ( hskp28
          | hskp20
          | hskp1 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c2_1(a1)
        & ~ c3_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a2)
        & ~ c2_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a7)
        & c3_1(a7)
        & ~ c2_1(a7) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a9)
        & ~ c2_1(a9)
        & ~ c3_1(a9) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a11)
        & ~ c1_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a13)
        & ~ c1_1(a13)
        & ~ c3_1(a13) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a18)
        & ~ c0_1(a18)
        & ~ c1_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c0_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a20)
        & ~ c1_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a21)
        & c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a22)
        & c3_1(a22)
        & ~ c0_1(a22) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a24)
        & ~ c1_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a27)
        & c3_1(a27)
        & ~ c1_1(a27) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28)
        & ~ c2_1(a28) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a31)
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a36)
        & c3_1(a36)
        & ~ c1_1(a36) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & c3_1(a37)
        & ~ c0_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a38)
        & c1_1(a38)
        & ~ c2_1(a38) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a45)
        & ~ c1_1(a45)
        & ~ c2_1(a45) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a58)
        & ~ c0_1(a58)
        & ~ c1_1(a58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a70)
        & ~ c1_1(a70)
        & ~ c3_1(a70) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & c3_1(a12) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a25)
        & c2_1(a25)
        & c3_1(a25) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a35)
        & c1_1(a35)
        & c2_1(a35) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a54)
        & c2_1(a54)
        & c3_1(a54) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c1_1(X2)
          | c3_1(X2)
          | ~ c2_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | c2_1(X3)
          | c3_1(X3)
          | ~ c1_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c3_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c2_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | c2_1(X6)
          | ~ c1_1(X6)
          | ~ c3_1(X6) ) )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | c3_1(X7) )
      | hskp0
      | hskp1 )
    & ( ! [X8] :
          ( ~ ndr1_0
          | c0_1(X8)
          | c1_1(X8)
          | c3_1(X8) )
      | hskp2
      | hskp1 )
    & ( ! [X9] :
          ( ~ ndr1_0
          | c0_1(X9)
          | c1_1(X9)
          | ~ c2_1(X9) )
      | ! [X10] :
          ( ~ ndr1_0
          | c1_1(X10)
          | c2_1(X10)
          | ~ c3_1(X10) )
      | hskp2 )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | c1_1(X11)
          | ~ c2_1(X11) )
      | ! [X12] :
          ( ~ ndr1_0
          | c2_1(X12)
          | ~ c1_1(X12)
          | ~ c3_1(X12) )
      | hskp1 )
    & ( ! [X13] :
          ( ~ ndr1_0
          | c0_1(X13)
          | c1_1(X13)
          | ~ c2_1(X13) )
      | hskp3
      | hskp0 )
    & ( ! [X14] :
          ( ~ ndr1_0
          | c0_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14) )
      | ! [X15] :
          ( ~ ndr1_0
          | c0_1(X15)
          | c2_1(X15)
          | ~ c3_1(X15) )
      | ! [X16] :
          ( ~ ndr1_0
          | c1_1(X16)
          | c2_1(X16)
          | ~ c0_1(X16) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ c3_1(X18) )
      | hskp4 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c2_1(X19)
          | c3_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | ~ c2_1(X20)
          | ~ c3_1(X20) )
      | hskp0 )
    & ( ! [X21] :
          ( ~ ndr1_0
          | c0_1(X21)
          | c2_1(X21)
          | c3_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | c1_1(X22)
          | c2_1(X22)
          | c3_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | c1_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23) ) )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c0_1(X24)
          | c2_1(X24)
          | c3_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | c1_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25) )
      | hskp5 )
    & ( ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | c2_1(X26)
          | c3_1(X26) )
      | ! [X27] :
          ( ~ ndr1_0
          | c1_1(X27)
          | ~ c0_1(X27)
          | ~ c2_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c3_1(X28)
          | ~ c1_1(X28)
          | ~ c2_1(X28) ) )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c2_1(X29)
          | c3_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | c2_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30) )
      | hskp27 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c2_1(X31)
          | c3_1(X31) )
      | ! [X32] :
          ( ~ ndr1_0
          | c2_1(X32)
          | ~ c1_1(X32)
          | ~ c3_1(X32) )
      | hskp6 )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c2_1(X33)
          | c3_1(X33) )
      | hskp7
      | hskp8 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c0_1(X34)
          | c2_1(X34)
          | ~ c1_1(X34) )
      | ! [X35] :
          ( ~ ndr1_0
          | c1_1(X35)
          | ~ c2_1(X35)
          | ~ c3_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | c2_1(X36)
          | c3_1(X36)
          | ~ c0_1(X36) ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | c2_1(X37)
          | ~ c1_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | ~ c0_1(X38)
          | ~ c1_1(X38)
          | ~ c2_1(X38) )
      | hskp9 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | c2_1(X39)
          | ~ c1_1(X39) )
      | ! [X40] :
          ( ~ ndr1_0
          | ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ c2_1(X40) )
      | hskp6 )
    & ( ! [X41] :
          ( ~ ndr1_0
          | c0_1(X41)
          | c2_1(X41)
          | ~ c3_1(X41) )
      | ! [X42] :
          ( ~ ndr1_0
          | c1_1(X42)
          | ~ c2_1(X42)
          | ~ c3_1(X42) )
      | hskp10 )
    & ( ! [X43] :
          ( ~ ndr1_0
          | c0_1(X43)
          | c2_1(X43)
          | ~ c3_1(X43) )
      | ! [X44] :
          ( ~ ndr1_0
          | c2_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c3_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45) ) )
    & ( ! [X46] :
          ( ~ ndr1_0
          | c0_1(X46)
          | c2_1(X46)
          | ~ c3_1(X46) )
      | ! [X47] :
          ( ~ ndr1_0
          | c2_1(X47)
          | ~ c0_1(X47)
          | ~ c3_1(X47) )
      | hskp11 )
    & ( ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48) )
      | ! [X49] :
          ( ~ ndr1_0
          | c3_1(X49)
          | ~ c0_1(X49)
          | ~ c1_1(X49) )
      | hskp12 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c0_1(X50)
          | c2_1(X50)
          | ~ c3_1(X50) )
      | hskp13
      | hskp14 )
    & ( ! [X51] :
          ( ~ ndr1_0
          | c0_1(X51)
          | c2_1(X51)
          | ~ c3_1(X51) )
      | hskp5
      | hskp15 )
    & ( ! [X52] :
          ( ~ ndr1_0
          | c0_1(X52)
          | c2_1(X52)
          | ~ c3_1(X52) )
      | hskp28
      | hskp7 )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | c3_1(X53)
          | ~ c1_1(X53) )
      | hskp16
      | hskp17 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54) )
      | ! [X55] :
          ( ~ ndr1_0
          | c1_1(X55)
          | c2_1(X55)
          | c3_1(X55) )
      | ! [X56] :
          ( ~ ndr1_0
          | c1_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56) ) )
    & ( ! [X57] :
          ( ~ ndr1_0
          | c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57) )
      | ! [X58] :
          ( ~ ndr1_0
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58) )
      | hskp6 )
    & ( ! [X59] :
          ( ~ ndr1_0
          | c0_1(X59)
          | c3_1(X59)
          | ~ c2_1(X59) )
      | hskp3
      | hskp18 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c0_1(X60)
          | c3_1(X60)
          | ~ c2_1(X60) )
      | hskp11
      | hskp15 )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c0_1(X61)
          | ~ c1_1(X61)
          | ~ c2_1(X61) )
      | ! [X62] :
          ( ~ ndr1_0
          | c1_1(X62)
          | c2_1(X62)
          | c3_1(X62) )
      | hskp9 )
    & ( ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | ~ c1_1(X63)
          | ~ c3_1(X63) )
      | hskp29
      | hskp19 )
    & ( ! [X64] :
          ( ~ ndr1_0
          | c0_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64) )
      | ! [X65] :
          ( ~ ndr1_0
          | c3_1(X65)
          | ~ c1_1(X65)
          | ~ c2_1(X65) )
      | hskp20 )
    & ( ! [X66] :
          ( ~ ndr1_0
          | c0_1(X66)
          | ~ c2_1(X66)
          | ~ c3_1(X66) )
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67) )
      | ! [X68] :
          ( ~ ndr1_0
          | ~ c1_1(X68)
          | ~ c2_1(X68)
          | ~ c3_1(X68) ) )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c0_1(X69)
          | ~ c2_1(X69)
          | ~ c3_1(X69) )
      | hskp21
      | hskp17 )
    & ( ! [X70] :
          ( ~ ndr1_0
          | c1_1(X70)
          | c2_1(X70)
          | c3_1(X70) )
      | hskp21
      | hskp20 )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | c2_1(X71)
          | ~ c3_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | c2_1(X72)
          | ~ c0_1(X72)
          | ~ c3_1(X72) )
      | ! [X73] :
          ( ~ ndr1_0
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ c2_1(X73) ) )
    & ( ! [X74] :
          ( ~ ndr1_0
          | c1_1(X74)
          | c2_1(X74)
          | ~ c3_1(X74) )
      | ! [X75] :
          ( ~ ndr1_0
          | c2_1(X75)
          | ~ c1_1(X75)
          | ~ c3_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | ~ c0_1(X76)
          | ~ c1_1(X76)
          | ~ c3_1(X76) ) )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c2_1(X77)
          | ~ c3_1(X77) )
      | hskp22
      | hskp20 )
    & ( ! [X78] :
          ( ~ ndr1_0
          | c1_1(X78)
          | c2_1(X78)
          | ~ c3_1(X78) )
      | hskp22
      | hskp23 )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79) )
      | hskp13
      | hskp18 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | c3_1(X80)
          | ~ c0_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | ~ c0_1(X81)
          | ~ c2_1(X81) )
      | hskp18 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | c1_1(X82)
          | c3_1(X82)
          | ~ c2_1(X82) )
      | hskp10
      | hskp1 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c1_1(X83)
          | ~ c0_1(X83)
          | ~ c2_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | ~ c0_1(X84)
          | ~ c1_1(X84)
          | ~ c3_1(X84) )
      | hskp12 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | ~ c0_1(X85)
          | ~ c2_1(X85) )
      | hskp9
      | hskp15 )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c1_1(X86)
          | ~ c0_1(X86)
          | ~ c2_1(X86) )
      | hskp30
      | hskp12 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | ~ c0_1(X87)
          | ~ c3_1(X87) )
      | ! [X88] :
          ( ~ ndr1_0
          | c3_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88) )
      | hskp20 )
    & ( ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | ~ c0_1(X89)
          | ~ c3_1(X89) )
      | hskp13
      | hskp24 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90) )
      | hskp4
      | hskp15 )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | ~ c0_1(X91)
          | ~ c3_1(X91) )
      | hskp18
      | hskp23 )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c2_1(X92)
          | c3_1(X92)
          | ~ c0_1(X92) )
      | hskp21
      | hskp4 )
    & ( ! [X93] :
          ( ~ ndr1_0
          | c2_1(X93)
          | c3_1(X93)
          | ~ c0_1(X93) )
      | hskp22
      | hskp12 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | c2_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94) )
      | ! [X95] :
          ( ~ ndr1_0
          | c2_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95) )
      | ! [X96] :
          ( ~ ndr1_0
          | c3_1(X96)
          | ~ c0_1(X96)
          | ~ c1_1(X96) ) )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c2_1(X97)
          | ~ c0_1(X97)
          | ~ c1_1(X97) )
      | hskp16
      | hskp14 )
    & ( ! [X98] :
          ( ~ ndr1_0
          | c2_1(X98)
          | ~ c0_1(X98)
          | ~ c1_1(X98) )
      | hskp5
      | hskp25 )
    & ( ! [X99] :
          ( ~ ndr1_0
          | c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99) )
      | hskp14
      | hskp17 )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c2_1(X100)
          | ~ c0_1(X100)
          | ~ c1_1(X100) )
      | hskp24
      | hskp6 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | c2_1(X101)
          | ~ c0_1(X101)
          | ~ c3_1(X101) )
      | hskp29
      | hskp9 )
    & ( ! [X102] :
          ( ~ ndr1_0
          | c2_1(X102)
          | ~ c1_1(X102)
          | ~ c3_1(X102) )
      | ! [X103] :
          ( ~ ndr1_0
          | c3_1(X103)
          | ~ c1_1(X103)
          | ~ c2_1(X103) )
      | hskp9 )
    & ( ! [X104] :
          ( ~ ndr1_0
          | c2_1(X104)
          | ~ c1_1(X104)
          | ~ c3_1(X104) )
      | hskp28
      | hskp0 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | c3_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105) )
      | ! [X106] :
          ( ~ ndr1_0
          | ~ c0_1(X106)
          | ~ c1_1(X106)
          | ~ c3_1(X106) )
      | hskp8 )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c3_1(X107)
          | ~ c0_1(X107)
          | ~ c1_1(X107) )
      | hskp21
      | hskp10 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c3_1(X108)
          | ~ c0_1(X108)
          | ~ c2_1(X108) )
      | ! [X109] :
          ( ~ ndr1_0
          | c3_1(X109)
          | ~ c1_1(X109)
          | ~ c2_1(X109) )
      | hskp6 )
    & ( ! [X110] :
          ( ~ ndr1_0
          | ~ c0_1(X110)
          | ~ c1_1(X110)
          | ~ c2_1(X110) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c3_1(X111) )
      | hskp7 )
    & ( ! [X112] :
          ( ~ ndr1_0
          | ~ c0_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112) )
      | hskp19
      | hskp11 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c3_1(X113) )
      | ! [X114] :
          ( ~ ndr1_0
          | ~ c1_1(X114)
          | ~ c2_1(X114)
          | ~ c3_1(X114) )
      | hskp25 )
    & ( ! [X115] :
          ( ~ ndr1_0
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115) )
      | hskp27
      | hskp16 )
    & ( ! [X116] :
          ( ~ ndr1_0
          | ~ c0_1(X116)
          | ~ c1_1(X116)
          | ~ c3_1(X116) )
      | hskp30
      | hskp3 )
    & ( ! [X117] :
          ( ~ ndr1_0
          | ~ c0_1(X117)
          | ~ c1_1(X117)
          | ~ c3_1(X117) )
      | hskp22
      | hskp0 )
    & ( ! [X118] :
          ( ~ ndr1_0
          | ~ c0_1(X118)
          | ~ c1_1(X118)
          | ~ c3_1(X118) )
      | hskp5
      | hskp25 )
    & ( ! [X119] :
          ( ~ ndr1_0
          | ~ c1_1(X119)
          | ~ c2_1(X119)
          | ~ c3_1(X119) )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c1_1(a1)
        & c2_1(a1)
        & ~ c3_1(a1) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & ~ c0_1(a2)
        & ~ c2_1(a2)
        & ~ c3_1(a2) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c0_1(a7)
        & c3_1(a7)
        & ~ c2_1(a7) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c0_1(a9)
        & ~ c2_1(a9)
        & ~ c3_1(a9) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & c0_1(a11)
        & ~ c1_1(a11)
        & ~ c2_1(a11) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & ~ c0_1(a13)
        & ~ c1_1(a13)
        & ~ c3_1(a13) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c1_1(a14)
        & ~ c0_1(a14)
        & ~ c2_1(a14) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & ~ c1_1(a15)
        & ~ c2_1(a15)
        & ~ c3_1(a15) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c3_1(a18)
        & ~ c0_1(a18)
        & ~ c1_1(a18) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c2_1(a19)
        & ~ c0_1(a19)
        & ~ c3_1(a19) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c2_1(a20)
        & ~ c1_1(a20)
        & ~ c3_1(a20) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c0_1(a21)
        & c2_1(a21)
        & ~ c3_1(a21) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c2_1(a22)
        & c3_1(a22)
        & ~ c0_1(a22) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & ~ c0_1(a24)
        & ~ c1_1(a24)
        & ~ c2_1(a24) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c0_1(a27)
        & c3_1(a27)
        & ~ c1_1(a27) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c3_1(a28)
        & ~ c0_1(a28)
        & ~ c2_1(a28) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a31)
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & c2_1(a36)
        & c3_1(a36)
        & ~ c1_1(a36) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & c1_1(a37)
        & c3_1(a37)
        & ~ c0_1(a37) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c0_1(a38)
        & c1_1(a38)
        & ~ c2_1(a38) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c3_1(a45)
        & ~ c1_1(a45)
        & ~ c2_1(a45) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c2_1(a58)
        & ~ c0_1(a58)
        & ~ c1_1(a58) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c0_1(a70)
        & ~ c1_1(a70)
        & ~ c3_1(a70) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & c2_1(a99)
        & ~ c0_1(a99) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a12)
        & c1_1(a12)
        & c3_1(a12) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c1_1(a25)
        & c2_1(a25)
        & c3_1(a25) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a35)
        & c1_1(a35)
        & c2_1(a35) ) )
    & ( ~ hskp30
      | ( ndr1_0
        & c0_1(a54)
        & c2_1(a54)
        & c3_1(a54) ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c1_1(X120)
          | c2_1(X120) )
      | ! [X121] :
          ( ~ ndr1_0
          | c1_1(X121)
          | c3_1(X121)
          | ~ c2_1(X121) )
      | ! [X122] :
          ( ~ ndr1_0
          | c2_1(X122)
          | c3_1(X122)
          | ~ c1_1(X122) ) )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c1_1(X123)
          | c3_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c2_1(X124)
          | ~ c0_1(X124)
          | ~ c1_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | c2_1(X125)
          | ~ c1_1(X125)
          | ~ c3_1(X125) ) )
    & ( ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c1_1(X126)
          | c3_1(X126) )
      | hskp0
      | hskp1 )
    & ( ! [X127] :
          ( ~ ndr1_0
          | c0_1(X127)
          | c1_1(X127)
          | c3_1(X127) )
      | hskp2
      | hskp1 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c1_1(X128)
          | ~ c2_1(X128) )
      | ! [X129] :
          ( ~ ndr1_0
          | c1_1(X129)
          | c2_1(X129)
          | ~ c3_1(X129) )
      | hskp2 )
    & ( ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c1_1(X130)
          | ~ c2_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c2_1(X131)
          | ~ c1_1(X131)
          | ~ c3_1(X131) )
      | hskp1 )
    & ( ! [X132] :
          ( ~ ndr1_0
          | c0_1(X132)
          | c1_1(X132)
          | ~ c2_1(X132) )
      | hskp3
      | hskp0 )
    & ( ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c1_1(X133)
          | ~ c3_1(X133) )
      | ! [X134] :
          ( ~ ndr1_0
          | c0_1(X134)
          | c2_1(X134)
          | ~ c3_1(X134) )
      | ! [X135] :
          ( ~ ndr1_0
          | c1_1(X135)
          | c2_1(X135)
          | ~ c0_1(X135) ) )
    & ( ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c1_1(X136)
          | ~ c3_1(X136) )
      | ! [X137] :
          ( ~ ndr1_0
          | ~ c0_1(X137)
          | ~ c1_1(X137)
          | ~ c3_1(X137) )
      | hskp4 )
    & ( ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c2_1(X138)
          | c3_1(X138) )
      | ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | ~ c2_1(X139)
          | ~ c3_1(X139) )
      | hskp0 )
    & ( ! [X140] :
          ( ~ ndr1_0
          | c0_1(X140)
          | c2_1(X140)
          | c3_1(X140) )
      | ! [X141] :
          ( ~ ndr1_0
          | c1_1(X141)
          | c2_1(X141)
          | c3_1(X141) )
      | ! [X142] :
          ( ~ ndr1_0
          | c1_1(X142)
          | ~ c2_1(X142)
          | ~ c3_1(X142) ) )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | c2_1(X143)
          | c3_1(X143) )
      | ! [X144] :
          ( ~ ndr1_0
          | c1_1(X144)
          | c3_1(X144)
          | ~ c2_1(X144) )
      | hskp5 )
    & ( ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | c2_1(X145)
          | c3_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c1_1(X146)
          | ~ c0_1(X146)
          | ~ c2_1(X146) )
      | ! [X147] :
          ( ~ ndr1_0
          | c3_1(X147)
          | ~ c1_1(X147)
          | ~ c2_1(X147) ) )
    & ( ! [X148] :
          ( ~ ndr1_0
          | c0_1(X148)
          | c2_1(X148)
          | c3_1(X148) )
      | ! [X149] :
          ( ~ ndr1_0
          | c2_1(X149)
          | ~ c0_1(X149)
          | ~ c1_1(X149) )
      | hskp27 )
    & ( ! [X150] :
          ( ~ ndr1_0
          | c0_1(X150)
          | c2_1(X150)
          | c3_1(X150) )
      | ! [X151] :
          ( ~ ndr1_0
          | c2_1(X151)
          | ~ c1_1(X151)
          | ~ c3_1(X151) )
      | hskp6 )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c0_1(X152)
          | c2_1(X152)
          | c3_1(X152) )
      | hskp7
      | hskp8 )
    & ( ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | c2_1(X153)
          | ~ c1_1(X153) )
      | ! [X154] :
          ( ~ ndr1_0
          | c1_1(X154)
          | ~ c2_1(X154)
          | ~ c3_1(X154) )
      | ! [X155] :
          ( ~ ndr1_0
          | c2_1(X155)
          | c3_1(X155)
          | ~ c0_1(X155) ) )
    & ( ! [X156] :
          ( ~ ndr1_0
          | c0_1(X156)
          | c2_1(X156)
          | ~ c1_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | ~ c0_1(X157)
          | ~ c1_1(X157)
          | ~ c2_1(X157) )
      | hskp9 )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c0_1(X158)
          | c2_1(X158)
          | ~ c1_1(X158) )
      | ! [X159] :
          ( ~ ndr1_0
          | ~ c0_1(X159)
          | ~ c1_1(X159)
          | ~ c2_1(X159) )
      | hskp6 )
    & ( ! [X160] :
          ( ~ ndr1_0
          | c0_1(X160)
          | c2_1(X160)
          | ~ c3_1(X160) )
      | ! [X161] :
          ( ~ ndr1_0
          | c1_1(X161)
          | ~ c2_1(X161)
          | ~ c3_1(X161) )
      | hskp10 )
    & ( ! [X162] :
          ( ~ ndr1_0
          | c0_1(X162)
          | c2_1(X162)
          | ~ c3_1(X162) )
      | ! [X163] :
          ( ~ ndr1_0
          | c2_1(X163)
          | c3_1(X163)
          | ~ c1_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | c3_1(X164)
          | ~ c1_1(X164)
          | ~ c2_1(X164) ) )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | c2_1(X165)
          | ~ c3_1(X165) )
      | ! [X166] :
          ( ~ ndr1_0
          | c2_1(X166)
          | ~ c0_1(X166)
          | ~ c3_1(X166) )
      | hskp11 )
    & ( ! [X167] :
          ( ~ ndr1_0
          | c0_1(X167)
          | c2_1(X167)
          | ~ c3_1(X167) )
      | ! [X168] :
          ( ~ ndr1_0
          | c3_1(X168)
          | ~ c0_1(X168)
          | ~ c1_1(X168) )
      | hskp12 )
    & ( ! [X169] :
          ( ~ ndr1_0
          | c0_1(X169)
          | c2_1(X169)
          | ~ c3_1(X169) )
      | hskp13
      | hskp14 )
    & ( ! [X170] :
          ( ~ ndr1_0
          | c0_1(X170)
          | c2_1(X170)
          | ~ c3_1(X170) )
      | hskp5
      | hskp15 )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | c2_1(X171)
          | ~ c3_1(X171) )
      | hskp28
      | hskp7 )
    & ( ! [X172] :
          ( ~ ndr1_0
          | c0_1(X172)
          | c3_1(X172)
          | ~ c1_1(X172) )
      | hskp16
      | hskp17 )
    & ( ! [X173] :
          ( ~ ndr1_0
          | c0_1(X173)
          | c3_1(X173)
          | ~ c2_1(X173) )
      | ! [X174] :
          ( ~ ndr1_0
          | c1_1(X174)
          | c2_1(X174)
          | c3_1(X174) )
      | ! [X175] :
          ( ~ ndr1_0
          | c1_1(X175)
          | c3_1(X175)
          | ~ c0_1(X175) ) )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c0_1(X176)
          | c3_1(X176)
          | ~ c2_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | c3_1(X177)
          | ~ c1_1(X177)
          | ~ c2_1(X177) )
      | hskp6 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c0_1(X178)
          | c3_1(X178)
          | ~ c2_1(X178) )
      | hskp3
      | hskp18 )
    & ( ! [X179] :
          ( ~ ndr1_0
          | c0_1(X179)
          | c3_1(X179)
          | ~ c2_1(X179) )
      | hskp11
      | hskp15 )
    & ( ! [X180] :
          ( ~ ndr1_0
          | c0_1(X180)
          | ~ c1_1(X180)
          | ~ c2_1(X180) )
      | ! [X181] :
          ( ~ ndr1_0
          | c1_1(X181)
          | c2_1(X181)
          | c3_1(X181) )
      | hskp9 )
    & ( ! [X182] :
          ( ~ ndr1_0
          | c0_1(X182)
          | ~ c1_1(X182)
          | ~ c3_1(X182) )
      | hskp29
      | hskp19 )
    & ( ! [X183] :
          ( ~ ndr1_0
          | c0_1(X183)
          | ~ c2_1(X183)
          | ~ c3_1(X183) )
      | ! [X184] :
          ( ~ ndr1_0
          | c3_1(X184)
          | ~ c1_1(X184)
          | ~ c2_1(X184) )
      | hskp20 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | c0_1(X185)
          | ~ c2_1(X185)
          | ~ c3_1(X185) )
      | ! [X186] :
          ( ~ ndr1_0
          | ~ c0_1(X186)
          | ~ c2_1(X186)
          | ~ c3_1(X186) )
      | ! [X187] :
          ( ~ ndr1_0
          | ~ c1_1(X187)
          | ~ c2_1(X187)
          | ~ c3_1(X187) ) )
    & ( ! [X188] :
          ( ~ ndr1_0
          | c0_1(X188)
          | ~ c2_1(X188)
          | ~ c3_1(X188) )
      | hskp21
      | hskp17 )
    & ( ! [X189] :
          ( ~ ndr1_0
          | c1_1(X189)
          | c2_1(X189)
          | c3_1(X189) )
      | hskp21
      | hskp20 )
    & ( ! [X190] :
          ( ~ ndr1_0
          | c1_1(X190)
          | c2_1(X190)
          | ~ c3_1(X190) )
      | ! [X191] :
          ( ~ ndr1_0
          | c2_1(X191)
          | ~ c0_1(X191)
          | ~ c3_1(X191) )
      | ! [X192] :
          ( ~ ndr1_0
          | c3_1(X192)
          | ~ c1_1(X192)
          | ~ c2_1(X192) ) )
    & ( ! [X193] :
          ( ~ ndr1_0
          | c1_1(X193)
          | c2_1(X193)
          | ~ c3_1(X193) )
      | ! [X194] :
          ( ~ ndr1_0
          | c2_1(X194)
          | ~ c1_1(X194)
          | ~ c3_1(X194) )
      | ! [X195] :
          ( ~ ndr1_0
          | ~ c0_1(X195)
          | ~ c1_1(X195)
          | ~ c3_1(X195) ) )
    & ( ! [X196] :
          ( ~ ndr1_0
          | c1_1(X196)
          | c2_1(X196)
          | ~ c3_1(X196) )
      | hskp22
      | hskp20 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | c1_1(X197)
          | c2_1(X197)
          | ~ c3_1(X197) )
      | hskp22
      | hskp23 )
    & ( ! [X198] :
          ( ~ ndr1_0
          | c1_1(X198)
          | c2_1(X198)
          | ~ c3_1(X198) )
      | hskp13
      | hskp18 )
    & ( ! [X199] :
          ( ~ ndr1_0
          | c1_1(X199)
          | c3_1(X199)
          | ~ c0_1(X199) )
      | ! [X200] :
          ( ~ ndr1_0
          | c1_1(X200)
          | ~ c0_1(X200)
          | ~ c2_1(X200) )
      | hskp18 )
    & ( ! [X201] :
          ( ~ ndr1_0
          | c1_1(X201)
          | c3_1(X201)
          | ~ c2_1(X201) )
      | hskp10
      | hskp1 )
    & ( ! [X202] :
          ( ~ ndr1_0
          | c1_1(X202)
          | ~ c0_1(X202)
          | ~ c2_1(X202) )
      | ! [X203] :
          ( ~ ndr1_0
          | ~ c0_1(X203)
          | ~ c1_1(X203)
          | ~ c3_1(X203) )
      | hskp12 )
    & ( ! [X204] :
          ( ~ ndr1_0
          | c1_1(X204)
          | ~ c0_1(X204)
          | ~ c2_1(X204) )
      | hskp9
      | hskp15 )
    & ( ! [X205] :
          ( ~ ndr1_0
          | c1_1(X205)
          | ~ c0_1(X205)
          | ~ c2_1(X205) )
      | hskp30
      | hskp12 )
    & ( ! [X206] :
          ( ~ ndr1_0
          | c1_1(X206)
          | ~ c0_1(X206)
          | ~ c3_1(X206) )
      | ! [X207] :
          ( ~ ndr1_0
          | c3_1(X207)
          | ~ c0_1(X207)
          | ~ c2_1(X207) )
      | hskp20 )
    & ( ! [X208] :
          ( ~ ndr1_0
          | c1_1(X208)
          | ~ c0_1(X208)
          | ~ c3_1(X208) )
      | hskp13
      | hskp24 )
    & ( ! [X209] :
          ( ~ ndr1_0
          | c1_1(X209)
          | ~ c0_1(X209)
          | ~ c3_1(X209) )
      | hskp4
      | hskp15 )
    & ( ! [X210] :
          ( ~ ndr1_0
          | c1_1(X210)
          | ~ c0_1(X210)
          | ~ c3_1(X210) )
      | hskp18
      | hskp23 )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c2_1(X211)
          | c3_1(X211)
          | ~ c0_1(X211) )
      | hskp21
      | hskp4 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | c2_1(X212)
          | c3_1(X212)
          | ~ c0_1(X212) )
      | hskp22
      | hskp12 )
    & ( ! [X213] :
          ( ~ ndr1_0
          | c2_1(X213)
          | ~ c0_1(X213)
          | ~ c1_1(X213) )
      | ! [X214] :
          ( ~ ndr1_0
          | c2_1(X214)
          | ~ c0_1(X214)
          | ~ c3_1(X214) )
      | ! [X215] :
          ( ~ ndr1_0
          | c3_1(X215)
          | ~ c0_1(X215)
          | ~ c1_1(X215) ) )
    & ( ! [X216] :
          ( ~ ndr1_0
          | c2_1(X216)
          | ~ c0_1(X216)
          | ~ c1_1(X216) )
      | hskp16
      | hskp14 )
    & ( ! [X217] :
          ( ~ ndr1_0
          | c2_1(X217)
          | ~ c0_1(X217)
          | ~ c1_1(X217) )
      | hskp5
      | hskp25 )
    & ( ! [X218] :
          ( ~ ndr1_0
          | c2_1(X218)
          | ~ c0_1(X218)
          | ~ c1_1(X218) )
      | hskp14
      | hskp17 )
    & ( ! [X219] :
          ( ~ ndr1_0
          | c2_1(X219)
          | ~ c0_1(X219)
          | ~ c1_1(X219) )
      | hskp24
      | hskp6 )
    & ( ! [X220] :
          ( ~ ndr1_0
          | c2_1(X220)
          | ~ c0_1(X220)
          | ~ c3_1(X220) )
      | hskp29
      | hskp9 )
    & ( ! [X221] :
          ( ~ ndr1_0
          | c2_1(X221)
          | ~ c1_1(X221)
          | ~ c3_1(X221) )
      | ! [X222] :
          ( ~ ndr1_0
          | c3_1(X222)
          | ~ c1_1(X222)
          | ~ c2_1(X222) )
      | hskp9 )
    & ( ! [X223] :
          ( ~ ndr1_0
          | c2_1(X223)
          | ~ c1_1(X223)
          | ~ c3_1(X223) )
      | hskp28
      | hskp0 )
    & ( ! [X224] :
          ( ~ ndr1_0
          | c3_1(X224)
          | ~ c0_1(X224)
          | ~ c1_1(X224) )
      | ! [X225] :
          ( ~ ndr1_0
          | ~ c0_1(X225)
          | ~ c1_1(X225)
          | ~ c3_1(X225) )
      | hskp8 )
    & ( ! [X226] :
          ( ~ ndr1_0
          | c3_1(X226)
          | ~ c0_1(X226)
          | ~ c1_1(X226) )
      | hskp21
      | hskp10 )
    & ( ! [X227] :
          ( ~ ndr1_0
          | c3_1(X227)
          | ~ c0_1(X227)
          | ~ c2_1(X227) )
      | ! [X228] :
          ( ~ ndr1_0
          | c3_1(X228)
          | ~ c1_1(X228)
          | ~ c2_1(X228) )
      | hskp6 )
    & ( ! [X229] :
          ( ~ ndr1_0
          | ~ c0_1(X229)
          | ~ c1_1(X229)
          | ~ c2_1(X229) )
      | ! [X230] :
          ( ~ ndr1_0
          | ~ c0_1(X230)
          | ~ c1_1(X230)
          | ~ c3_1(X230) )
      | hskp7 )
    & ( ! [X231] :
          ( ~ ndr1_0
          | ~ c0_1(X231)
          | ~ c1_1(X231)
          | ~ c2_1(X231) )
      | hskp19
      | hskp11 )
    & ( ! [X232] :
          ( ~ ndr1_0
          | ~ c0_1(X232)
          | ~ c1_1(X232)
          | ~ c3_1(X232) )
      | ! [X233] :
          ( ~ ndr1_0
          | ~ c1_1(X233)
          | ~ c2_1(X233)
          | ~ c3_1(X233) )
      | hskp25 )
    & ( ! [X234] :
          ( ~ ndr1_0
          | ~ c0_1(X234)
          | ~ c1_1(X234)
          | ~ c3_1(X234) )
      | hskp27
      | hskp16 )
    & ( ! [X235] :
          ( ~ ndr1_0
          | ~ c0_1(X235)
          | ~ c1_1(X235)
          | ~ c3_1(X235) )
      | hskp30
      | hskp3 )
    & ( ! [X236] :
          ( ~ ndr1_0
          | ~ c0_1(X236)
          | ~ c1_1(X236)
          | ~ c3_1(X236) )
      | hskp22
      | hskp0 )
    & ( ! [X237] :
          ( ~ ndr1_0
          | ~ c0_1(X237)
          | ~ c1_1(X237)
          | ~ c3_1(X237) )
      | hskp5
      | hskp25 )
    & ( ! [X238] :
          ( ~ ndr1_0
          | ~ c1_1(X238)
          | ~ c2_1(X238)
          | ~ c3_1(X238) )
      | hskp3
      | hskp24 )
    & ( hskp29
      | hskp26
      | hskp14 )
    & ( hskp27
      | hskp13
      | hskp8 )
    & ( hskp21
      | hskp13
      | hskp24 )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp16
      | hskp4
      | hskp2 )
    & ( hskp5
      | hskp25
      | hskp28 )
    & ( hskp4
      | hskp28
      | hskp19 )
    & ( hskp28
      | hskp20
      | hskp1 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238] :
      ( ( ~ ndr1_0
        | ~ c1_1(X238)
        | ~ c2_1(X238)
        | ~ c3_1(X238)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X237)
        | ~ c1_1(X237)
        | ~ c3_1(X237)
        | hskp5
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X236)
        | ~ c1_1(X236)
        | ~ c3_1(X236)
        | hskp22
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X235)
        | ~ c1_1(X235)
        | ~ c3_1(X235)
        | hskp30
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X234)
        | ~ c1_1(X234)
        | ~ c3_1(X234)
        | hskp27
        | hskp16 )
      & ( ~ ndr1_0
        | ~ c1_1(X233)
        | ~ c2_1(X233)
        | ~ c3_1(X233)
        | ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c1_1(X232)
        | ~ c3_1(X232)
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X231)
        | ~ c1_1(X231)
        | ~ c2_1(X231)
        | hskp19
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | ~ c3_1(X230)
        | ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | ~ ndr1_0
        | c3_1(X227)
        | ~ c0_1(X227)
        | ~ c2_1(X227)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X226)
        | ~ c0_1(X226)
        | ~ c1_1(X226)
        | hskp21
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X225)
        | ~ c1_1(X225)
        | ~ c3_1(X225)
        | ~ ndr1_0
        | c3_1(X224)
        | ~ c0_1(X224)
        | ~ c1_1(X224)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c1_1(X223)
        | ~ c3_1(X223)
        | hskp28
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X222)
        | ~ c1_1(X222)
        | ~ c2_1(X222)
        | ~ ndr1_0
        | c2_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X220)
        | ~ c0_1(X220)
        | ~ c3_1(X220)
        | hskp29
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp24
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X218)
        | ~ c0_1(X218)
        | ~ c1_1(X218)
        | hskp14
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X217)
        | ~ c0_1(X217)
        | ~ c1_1(X217)
        | hskp5
        | hskp25 )
      & ( ~ ndr1_0
        | c2_1(X216)
        | ~ c0_1(X216)
        | ~ c1_1(X216)
        | hskp16
        | hskp14 )
      & ( ~ ndr1_0
        | c3_1(X215)
        | ~ c0_1(X215)
        | ~ c1_1(X215)
        | ~ ndr1_0
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ c3_1(X214)
        | ~ ndr1_0
        | c2_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213) )
      & ( ~ ndr1_0
        | c2_1(X212)
        | c3_1(X212)
        | ~ c0_1(X212)
        | hskp22
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X211)
        | c3_1(X211)
        | ~ c0_1(X211)
        | hskp21
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X210)
        | ~ c0_1(X210)
        | ~ c3_1(X210)
        | hskp18
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X209)
        | ~ c0_1(X209)
        | ~ c3_1(X209)
        | hskp4
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X208)
        | ~ c0_1(X208)
        | ~ c3_1(X208)
        | hskp13
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X207)
        | ~ c0_1(X207)
        | ~ c2_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c3_1(X206)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c0_1(X205)
        | ~ c2_1(X205)
        | hskp30
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X204)
        | ~ c0_1(X204)
        | ~ c2_1(X204)
        | hskp9
        | hskp15 )
      & ( ~ ndr1_0
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | ~ c3_1(X203)
        | ~ ndr1_0
        | c1_1(X202)
        | ~ c0_1(X202)
        | ~ c2_1(X202)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c2_1(X201)
        | hskp10
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X200)
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ ndr1_0
        | c1_1(X199)
        | c3_1(X199)
        | ~ c0_1(X199)
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X198)
        | c2_1(X198)
        | ~ c3_1(X198)
        | hskp13
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c2_1(X197)
        | ~ c3_1(X197)
        | hskp22
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c2_1(X196)
        | ~ c3_1(X196)
        | hskp22
        | hskp20 )
      & ( ~ ndr1_0
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ c3_1(X195)
        | ~ ndr1_0
        | c2_1(X194)
        | ~ c1_1(X194)
        | ~ c3_1(X194)
        | ~ ndr1_0
        | c1_1(X193)
        | c2_1(X193)
        | ~ c3_1(X193) )
      & ( ~ ndr1_0
        | c3_1(X192)
        | ~ c1_1(X192)
        | ~ c2_1(X192)
        | ~ ndr1_0
        | c2_1(X191)
        | ~ c0_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c2_1(X190)
        | ~ c3_1(X190) )
      & ( ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | c3_1(X189)
        | hskp21
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c2_1(X188)
        | ~ c3_1(X188)
        | hskp21
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c1_1(X187)
        | ~ c2_1(X187)
        | ~ c3_1(X187)
        | ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c0_1(X185)
        | ~ c2_1(X185)
        | ~ c3_1(X185) )
      & ( ~ ndr1_0
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | ~ c1_1(X182)
        | ~ c3_1(X182)
        | hskp29
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | c2_1(X181)
        | c3_1(X181)
        | ~ ndr1_0
        | c0_1(X180)
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X179)
        | c3_1(X179)
        | ~ c2_1(X179)
        | hskp11
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X178)
        | c3_1(X178)
        | ~ c2_1(X178)
        | hskp3
        | hskp18 )
      & ( ~ ndr1_0
        | c3_1(X177)
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c3_1(X176)
        | ~ c2_1(X176)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X175)
        | c3_1(X175)
        | ~ c0_1(X175)
        | ~ ndr1_0
        | c1_1(X174)
        | c2_1(X174)
        | c3_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | c3_1(X173)
        | ~ c2_1(X173) )
      & ( ~ ndr1_0
        | c0_1(X172)
        | c3_1(X172)
        | ~ c1_1(X172)
        | hskp16
        | hskp17 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | c2_1(X170)
        | ~ c3_1(X170)
        | hskp5
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X169)
        | c2_1(X169)
        | ~ c3_1(X169)
        | hskp13
        | hskp14 )
      & ( ~ ndr1_0
        | c3_1(X168)
        | ~ c0_1(X168)
        | ~ c1_1(X168)
        | ~ ndr1_0
        | c0_1(X167)
        | c2_1(X167)
        | ~ c3_1(X167)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X166)
        | ~ c0_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | c2_1(X165)
        | ~ c3_1(X165)
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X164)
        | ~ c1_1(X164)
        | ~ c2_1(X164)
        | ~ ndr1_0
        | c2_1(X163)
        | c3_1(X163)
        | ~ c1_1(X163)
        | ~ ndr1_0
        | c0_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c1_1(X161)
        | ~ c2_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c3_1(X160)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X159)
        | ~ c1_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | ~ c1_1(X158)
        | hskp6 )
      & ( ~ ndr1_0
        | ~ c0_1(X157)
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X155)
        | c3_1(X155)
        | ~ c0_1(X155)
        | ~ ndr1_0
        | c1_1(X154)
        | ~ c2_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c2_1(X153)
        | ~ c1_1(X153) )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | c3_1(X152)
        | hskp7
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c1_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | c3_1(X150)
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X149)
        | ~ c0_1(X149)
        | ~ c1_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp27 )
      & ( ~ ndr1_0
        | c3_1(X147)
        | ~ c1_1(X147)
        | ~ c2_1(X147)
        | ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | c3_1(X145) )
      & ( ~ ndr1_0
        | c1_1(X144)
        | c3_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | c2_1(X143)
        | c3_1(X143)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X142)
        | ~ c2_1(X142)
        | ~ c3_1(X142)
        | ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c2_1(X140)
        | c3_1(X140) )
      & ( ~ ndr1_0
        | c0_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ c3_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X135)
        | c2_1(X135)
        | ~ c0_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c2_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c3_1(X133) )
      & ( ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | ~ c2_1(X132)
        | hskp3
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X131)
        | ~ c1_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | ~ c2_1(X130)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X129)
        | c2_1(X129)
        | ~ c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c3_1(X127)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | c3_1(X126)
        | hskp0
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c2_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c3_1(X123) )
      & ( ~ ndr1_0
        | c2_1(X122)
        | c3_1(X122)
        | ~ c1_1(X122)
        | ~ ndr1_0
        | c1_1(X121)
        | c3_1(X121)
        | ~ c2_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120) )
      & ( ~ hskp0
        | ( ndr1_0
          & c1_1(a1)
          & c2_1(a1)
          & ~ c3_1(a1) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c0_1(a2)
          & ~ c2_1(a2)
          & ~ c3_1(a2) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c1_1(a3)
          & c3_1(a3)
          & ~ c2_1(a3) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c0_1(a7)
          & c3_1(a7)
          & ~ c2_1(a7) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c0_1(a9)
          & ~ c2_1(a9)
          & ~ c3_1(a9) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c0_1(a11)
          & ~ c1_1(a11)
          & ~ c2_1(a11) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c0_1(a13)
          & ~ c1_1(a13)
          & ~ c3_1(a13) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a14)
          & ~ c0_1(a14)
          & ~ c2_1(a14) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c1_1(a15)
          & ~ c2_1(a15)
          & ~ c3_1(a15) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a16)
          & c1_1(a16)
          & ~ c3_1(a16) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c3_1(a18)
          & ~ c0_1(a18)
          & ~ c1_1(a18) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c2_1(a19)
          & ~ c0_1(a19)
          & ~ c3_1(a19) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c2_1(a20)
          & ~ c1_1(a20)
          & ~ c3_1(a20) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c0_1(a21)
          & c2_1(a21)
          & ~ c3_1(a21) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c2_1(a22)
          & c3_1(a22)
          & ~ c0_1(a22) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a24)
          & ~ c1_1(a24)
          & ~ c2_1(a24) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c0_1(a27)
          & c3_1(a27)
          & ~ c1_1(a27) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c3_1(a28)
          & ~ c0_1(a28)
          & ~ c2_1(a28) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a31)
          & ~ c0_1(a31)
          & ~ c3_1(a31) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & c2_1(a36)
          & c3_1(a36)
          & ~ c1_1(a36) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & c1_1(a37)
          & c3_1(a37)
          & ~ c0_1(a37) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c0_1(a38)
          & c1_1(a38)
          & ~ c2_1(a38) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a42)
          & c2_1(a42)
          & ~ c1_1(a42) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c3_1(a45)
          & ~ c1_1(a45)
          & ~ c2_1(a45) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c2_1(a58)
          & ~ c0_1(a58)
          & ~ c1_1(a58) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c0_1(a70)
          & ~ c1_1(a70)
          & ~ c3_1(a70) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a99)
          & c2_1(a99)
          & ~ c0_1(a99) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a12)
          & c1_1(a12)
          & c3_1(a12) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c1_1(a25)
          & c2_1(a25)
          & c3_1(a25) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a35)
          & c1_1(a35)
          & c2_1(a35) ) )
      & ( ~ hskp30
        | ( ndr1_0
          & c0_1(a54)
          & c2_1(a54)
          & c3_1(a54) ) )
      & ( hskp29
        | hskp26
        | hskp14 )
      & ( hskp27
        | hskp13
        | hskp8 )
      & ( hskp21
        | hskp13
        | hskp24 )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp16
        | hskp4
        | hskp2 )
      & ( hskp5
        | hskp25
        | hskp28 )
      & ( hskp4
        | hskp28
        | hskp19 )
      & ( hskp28
        | hskp20
        | hskp1 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232,X233,X234,X235,X236,X237,X238] :
      ( ( ~ ndr1_0
        | ~ c1_1(X238)
        | ~ c2_1(X238)
        | ~ c3_1(X238)
        | hskp3
        | hskp24 )
      & ( ~ ndr1_0
        | ~ c0_1(X237)
        | ~ c1_1(X237)
        | ~ c3_1(X237)
        | hskp5
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X236)
        | ~ c1_1(X236)
        | ~ c3_1(X236)
        | hskp22
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X235)
        | ~ c1_1(X235)
        | ~ c3_1(X235)
        | hskp30
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X234)
        | ~ c1_1(X234)
        | ~ c3_1(X234)
        | hskp27
        | hskp16 )
      & ( ~ ndr1_0
        | ~ c1_1(X233)
        | ~ c2_1(X233)
        | ~ c3_1(X233)
        | ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c1_1(X232)
        | ~ c3_1(X232)
        | hskp25 )
      & ( ~ ndr1_0
        | ~ c0_1(X231)
        | ~ c1_1(X231)
        | ~ c2_1(X231)
        | hskp19
        | hskp11 )
      & ( ~ ndr1_0
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | ~ c3_1(X230)
        | ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | hskp7 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | ~ ndr1_0
        | c3_1(X227)
        | ~ c0_1(X227)
        | ~ c2_1(X227)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X226)
        | ~ c0_1(X226)
        | ~ c1_1(X226)
        | hskp21
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X225)
        | ~ c1_1(X225)
        | ~ c3_1(X225)
        | ~ ndr1_0
        | c3_1(X224)
        | ~ c0_1(X224)
        | ~ c1_1(X224)
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c1_1(X223)
        | ~ c3_1(X223)
        | hskp28
        | hskp0 )
      & ( ~ ndr1_0
        | c3_1(X222)
        | ~ c1_1(X222)
        | ~ c2_1(X222)
        | ~ ndr1_0
        | c2_1(X221)
        | ~ c1_1(X221)
        | ~ c3_1(X221)
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X220)
        | ~ c0_1(X220)
        | ~ c3_1(X220)
        | hskp29
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp24
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X218)
        | ~ c0_1(X218)
        | ~ c1_1(X218)
        | hskp14
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X217)
        | ~ c0_1(X217)
        | ~ c1_1(X217)
        | hskp5
        | hskp25 )
      & ( ~ ndr1_0
        | c2_1(X216)
        | ~ c0_1(X216)
        | ~ c1_1(X216)
        | hskp16
        | hskp14 )
      & ( ~ ndr1_0
        | c3_1(X215)
        | ~ c0_1(X215)
        | ~ c1_1(X215)
        | ~ ndr1_0
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ c3_1(X214)
        | ~ ndr1_0
        | c2_1(X213)
        | ~ c0_1(X213)
        | ~ c1_1(X213) )
      & ( ~ ndr1_0
        | c2_1(X212)
        | c3_1(X212)
        | ~ c0_1(X212)
        | hskp22
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X211)
        | c3_1(X211)
        | ~ c0_1(X211)
        | hskp21
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X210)
        | ~ c0_1(X210)
        | ~ c3_1(X210)
        | hskp18
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X209)
        | ~ c0_1(X209)
        | ~ c3_1(X209)
        | hskp4
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X208)
        | ~ c0_1(X208)
        | ~ c3_1(X208)
        | hskp13
        | hskp24 )
      & ( ~ ndr1_0
        | c3_1(X207)
        | ~ c0_1(X207)
        | ~ c2_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c3_1(X206)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c0_1(X205)
        | ~ c2_1(X205)
        | hskp30
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X204)
        | ~ c0_1(X204)
        | ~ c2_1(X204)
        | hskp9
        | hskp15 )
      & ( ~ ndr1_0
        | ~ c0_1(X203)
        | ~ c1_1(X203)
        | ~ c3_1(X203)
        | ~ ndr1_0
        | c1_1(X202)
        | ~ c0_1(X202)
        | ~ c2_1(X202)
        | hskp12 )
      & ( ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c2_1(X201)
        | hskp10
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X200)
        | ~ c0_1(X200)
        | ~ c2_1(X200)
        | ~ ndr1_0
        | c1_1(X199)
        | c3_1(X199)
        | ~ c0_1(X199)
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X198)
        | c2_1(X198)
        | ~ c3_1(X198)
        | hskp13
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X197)
        | c2_1(X197)
        | ~ c3_1(X197)
        | hskp22
        | hskp23 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c2_1(X196)
        | ~ c3_1(X196)
        | hskp22
        | hskp20 )
      & ( ~ ndr1_0
        | ~ c0_1(X195)
        | ~ c1_1(X195)
        | ~ c3_1(X195)
        | ~ ndr1_0
        | c2_1(X194)
        | ~ c1_1(X194)
        | ~ c3_1(X194)
        | ~ ndr1_0
        | c1_1(X193)
        | c2_1(X193)
        | ~ c3_1(X193) )
      & ( ~ ndr1_0
        | c3_1(X192)
        | ~ c1_1(X192)
        | ~ c2_1(X192)
        | ~ ndr1_0
        | c2_1(X191)
        | ~ c0_1(X191)
        | ~ c3_1(X191)
        | ~ ndr1_0
        | c1_1(X190)
        | c2_1(X190)
        | ~ c3_1(X190) )
      & ( ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | c3_1(X189)
        | hskp21
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X188)
        | ~ c2_1(X188)
        | ~ c3_1(X188)
        | hskp21
        | hskp17 )
      & ( ~ ndr1_0
        | ~ c1_1(X187)
        | ~ c2_1(X187)
        | ~ c3_1(X187)
        | ~ ndr1_0
        | ~ c0_1(X186)
        | ~ c2_1(X186)
        | ~ c3_1(X186)
        | ~ ndr1_0
        | c0_1(X185)
        | ~ c2_1(X185)
        | ~ c3_1(X185) )
      & ( ~ ndr1_0
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ c2_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | hskp20 )
      & ( ~ ndr1_0
        | c0_1(X182)
        | ~ c1_1(X182)
        | ~ c3_1(X182)
        | hskp29
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X181)
        | c2_1(X181)
        | c3_1(X181)
        | ~ ndr1_0
        | c0_1(X180)
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X179)
        | c3_1(X179)
        | ~ c2_1(X179)
        | hskp11
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X178)
        | c3_1(X178)
        | ~ c2_1(X178)
        | hskp3
        | hskp18 )
      & ( ~ ndr1_0
        | c3_1(X177)
        | ~ c1_1(X177)
        | ~ c2_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | c3_1(X176)
        | ~ c2_1(X176)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X175)
        | c3_1(X175)
        | ~ c0_1(X175)
        | ~ ndr1_0
        | c1_1(X174)
        | c2_1(X174)
        | c3_1(X174)
        | ~ ndr1_0
        | c0_1(X173)
        | c3_1(X173)
        | ~ c2_1(X173) )
      & ( ~ ndr1_0
        | c0_1(X172)
        | c3_1(X172)
        | ~ c1_1(X172)
        | hskp16
        | hskp17 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | c2_1(X171)
        | ~ c3_1(X171)
        | hskp28
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X170)
        | c2_1(X170)
        | ~ c3_1(X170)
        | hskp5
        | hskp15 )
      & ( ~ ndr1_0
        | c0_1(X169)
        | c2_1(X169)
        | ~ c3_1(X169)
        | hskp13
        | hskp14 )
      & ( ~ ndr1_0
        | c3_1(X168)
        | ~ c0_1(X168)
        | ~ c1_1(X168)
        | ~ ndr1_0
        | c0_1(X167)
        | c2_1(X167)
        | ~ c3_1(X167)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X166)
        | ~ c0_1(X166)
        | ~ c3_1(X166)
        | ~ ndr1_0
        | c0_1(X165)
        | c2_1(X165)
        | ~ c3_1(X165)
        | hskp11 )
      & ( ~ ndr1_0
        | c3_1(X164)
        | ~ c1_1(X164)
        | ~ c2_1(X164)
        | ~ ndr1_0
        | c2_1(X163)
        | c3_1(X163)
        | ~ c1_1(X163)
        | ~ ndr1_0
        | c0_1(X162)
        | c2_1(X162)
        | ~ c3_1(X162) )
      & ( ~ ndr1_0
        | c1_1(X161)
        | ~ c2_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c2_1(X160)
        | ~ c3_1(X160)
        | hskp10 )
      & ( ~ ndr1_0
        | ~ c0_1(X159)
        | ~ c1_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c2_1(X158)
        | ~ c1_1(X158)
        | hskp6 )
      & ( ~ ndr1_0
        | ~ c0_1(X157)
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ ndr1_0
        | c0_1(X156)
        | c2_1(X156)
        | ~ c1_1(X156)
        | hskp9 )
      & ( ~ ndr1_0
        | c2_1(X155)
        | c3_1(X155)
        | ~ c0_1(X155)
        | ~ ndr1_0
        | c1_1(X154)
        | ~ c2_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c2_1(X153)
        | ~ c1_1(X153) )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | c3_1(X152)
        | hskp7
        | hskp8 )
      & ( ~ ndr1_0
        | c2_1(X151)
        | ~ c1_1(X151)
        | ~ c3_1(X151)
        | ~ ndr1_0
        | c0_1(X150)
        | c2_1(X150)
        | c3_1(X150)
        | hskp6 )
      & ( ~ ndr1_0
        | c2_1(X149)
        | ~ c0_1(X149)
        | ~ c1_1(X149)
        | ~ ndr1_0
        | c0_1(X148)
        | c2_1(X148)
        | c3_1(X148)
        | hskp27 )
      & ( ~ ndr1_0
        | c3_1(X147)
        | ~ c1_1(X147)
        | ~ c2_1(X147)
        | ~ ndr1_0
        | c1_1(X146)
        | ~ c0_1(X146)
        | ~ c2_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | c3_1(X145) )
      & ( ~ ndr1_0
        | c1_1(X144)
        | c3_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | c2_1(X143)
        | c3_1(X143)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X142)
        | ~ c2_1(X142)
        | ~ c3_1(X142)
        | ~ ndr1_0
        | c1_1(X141)
        | c2_1(X141)
        | c3_1(X141)
        | ~ ndr1_0
        | c0_1(X140)
        | c2_1(X140)
        | c3_1(X140) )
      & ( ~ ndr1_0
        | c0_1(X139)
        | ~ c2_1(X139)
        | ~ c3_1(X139)
        | ~ ndr1_0
        | c0_1(X138)
        | c2_1(X138)
        | c3_1(X138)
        | hskp0 )
      & ( ~ ndr1_0
        | ~ c0_1(X137)
        | ~ c1_1(X137)
        | ~ c3_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c1_1(X136)
        | ~ c3_1(X136)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X135)
        | c2_1(X135)
        | ~ c0_1(X135)
        | ~ ndr1_0
        | c0_1(X134)
        | c2_1(X134)
        | ~ c3_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c3_1(X133) )
      & ( ~ ndr1_0
        | c0_1(X132)
        | c1_1(X132)
        | ~ c2_1(X132)
        | hskp3
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X131)
        | ~ c1_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | ~ c2_1(X130)
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X129)
        | c2_1(X129)
        | ~ c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X127)
        | c1_1(X127)
        | c3_1(X127)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | c3_1(X126)
        | hskp0
        | hskp1 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c1_1(X125)
        | ~ c3_1(X125)
        | ~ ndr1_0
        | c2_1(X124)
        | ~ c0_1(X124)
        | ~ c1_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | c3_1(X123) )
      & ( ~ ndr1_0
        | c2_1(X122)
        | c3_1(X122)
        | ~ c1_1(X122)
        | ~ ndr1_0
        | c1_1(X121)
        | c3_1(X121)
        | ~ c2_1(X121)
        | ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c1_1(a1)
        | ~ hskp0 )
      & ( c2_1(a1)
        | ~ hskp0 )
      & ( ~ c3_1(a1)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( ~ c0_1(a2)
        | ~ hskp1 )
      & ( ~ c2_1(a2)
        | ~ hskp1 )
      & ( ~ c3_1(a2)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c1_1(a3)
        | ~ hskp2 )
      & ( c3_1(a3)
        | ~ hskp2 )
      & ( ~ c2_1(a3)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c0_1(a7)
        | ~ hskp3 )
      & ( c3_1(a7)
        | ~ hskp3 )
      & ( ~ c2_1(a7)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c0_1(a9)
        | ~ hskp4 )
      & ( ~ c2_1(a9)
        | ~ hskp4 )
      & ( ~ c3_1(a9)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c0_1(a11)
        | ~ hskp5 )
      & ( ~ c1_1(a11)
        | ~ hskp5 )
      & ( ~ c2_1(a11)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( ~ c0_1(a13)
        | ~ hskp6 )
      & ( ~ c1_1(a13)
        | ~ hskp6 )
      & ( ~ c3_1(a13)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c1_1(a14)
        | ~ hskp7 )
      & ( ~ c0_1(a14)
        | ~ hskp7 )
      & ( ~ c2_1(a14)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( ~ c1_1(a15)
        | ~ hskp8 )
      & ( ~ c2_1(a15)
        | ~ hskp8 )
      & ( ~ c3_1(a15)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c0_1(a16)
        | ~ hskp9 )
      & ( c1_1(a16)
        | ~ hskp9 )
      & ( ~ c3_1(a16)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c3_1(a18)
        | ~ hskp10 )
      & ( ~ c0_1(a18)
        | ~ hskp10 )
      & ( ~ c1_1(a18)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c2_1(a19)
        | ~ hskp11 )
      & ( ~ c0_1(a19)
        | ~ hskp11 )
      & ( ~ c3_1(a19)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c2_1(a20)
        | ~ hskp12 )
      & ( ~ c1_1(a20)
        | ~ hskp12 )
      & ( ~ c3_1(a20)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c0_1(a21)
        | ~ hskp13 )
      & ( c2_1(a21)
        | ~ hskp13 )
      & ( ~ c3_1(a21)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c2_1(a22)
        | ~ hskp14 )
      & ( c3_1(a22)
        | ~ hskp14 )
      & ( ~ c0_1(a22)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( ~ c0_1(a24)
        | ~ hskp15 )
      & ( ~ c1_1(a24)
        | ~ hskp15 )
      & ( ~ c2_1(a24)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c0_1(a27)
        | ~ hskp16 )
      & ( c3_1(a27)
        | ~ hskp16 )
      & ( ~ c1_1(a27)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c3_1(a28)
        | ~ hskp17 )
      & ( ~ c0_1(a28)
        | ~ hskp17 )
      & ( ~ c2_1(a28)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a31)
        | ~ hskp18 )
      & ( ~ c0_1(a31)
        | ~ hskp18 )
      & ( ~ c3_1(a31)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( c2_1(a36)
        | ~ hskp19 )
      & ( c3_1(a36)
        | ~ hskp19 )
      & ( ~ c1_1(a36)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( c1_1(a37)
        | ~ hskp20 )
      & ( c3_1(a37)
        | ~ hskp20 )
      & ( ~ c0_1(a37)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c0_1(a38)
        | ~ hskp21 )
      & ( c1_1(a38)
        | ~ hskp21 )
      & ( ~ c2_1(a38)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a42)
        | ~ hskp22 )
      & ( c2_1(a42)
        | ~ hskp22 )
      & ( ~ c1_1(a42)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c3_1(a45)
        | ~ hskp23 )
      & ( ~ c1_1(a45)
        | ~ hskp23 )
      & ( ~ c2_1(a45)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c2_1(a58)
        | ~ hskp24 )
      & ( ~ c0_1(a58)
        | ~ hskp24 )
      & ( ~ c1_1(a58)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c0_1(a70)
        | ~ hskp25 )
      & ( ~ c1_1(a70)
        | ~ hskp25 )
      & ( ~ c3_1(a70)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c1_1(a99)
        | ~ hskp26 )
      & ( c2_1(a99)
        | ~ hskp26 )
      & ( ~ c0_1(a99)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a12)
        | ~ hskp27 )
      & ( c1_1(a12)
        | ~ hskp27 )
      & ( c3_1(a12)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c1_1(a25)
        | ~ hskp28 )
      & ( c2_1(a25)
        | ~ hskp28 )
      & ( c3_1(a25)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a35)
        | ~ hskp29 )
      & ( c1_1(a35)
        | ~ hskp29 )
      & ( c2_1(a35)
        | ~ hskp29 )
      & ( ndr1_0
        | ~ hskp30 )
      & ( c0_1(a54)
        | ~ hskp30 )
      & ( c2_1(a54)
        | ~ hskp30 )
      & ( c3_1(a54)
        | ~ hskp30 )
      & ( hskp29
        | hskp26
        | hskp14 )
      & ( hskp27
        | hskp13
        | hskp8 )
      & ( hskp21
        | hskp13
        | hskp24 )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp16
        | hskp4
        | hskp2 )
      & ( hskp5
        | hskp25
        | hskp28 )
      & ( hskp4
        | hskp28
        | hskp19 )
      & ( hskp28
        | hskp20
        | hskp1 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(10,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp2
    | hskp4
    | hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( hskp8
    | hskp13
    | hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(15,negated_conjecture,
    ( hskp14
    | hskp26
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( c3_1(a54)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    ( c2_1(a54)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c0_1(a54)
    | ~ hskp30 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( c2_1(a35)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(21,negated_conjecture,
    ( c1_1(a35)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c0_1(a35)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(24,negated_conjecture,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(25,negated_conjecture,
    ( c2_1(a25)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c1_1(a25)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( ndr1_0
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(28,negated_conjecture,
    ( c3_1(a12)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(29,negated_conjecture,
    ( c1_1(a12)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( c0_1(a12)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a99) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(33,negated_conjecture,
    ( c2_1(a99)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( c1_1(a99)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(36,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a70) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(37,negated_conjecture,
    ( ~ hskp25
    | ~ c1_1(a70) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( c0_1(a70)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(40,negated_conjecture,
    ( ~ hskp24
    | ~ c1_1(a58) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(41,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a58) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( c2_1(a58)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(44,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a45) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(45,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a45) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( c3_1(a45)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(48,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a42) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(49,negated_conjecture,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(52,negated_conjecture,
    ( ~ hskp21
    | ~ c2_1(a38) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(53,negated_conjecture,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(56,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a37) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( c3_1(a37)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( c1_1(a37)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( ndr1_0
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(60,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a36) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(64,negated_conjecture,
    ( ~ hskp18
    | ~ c3_1(a31) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( ~ hskp18
    | ~ c0_1(a31) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(68,negated_conjecture,
    ( ~ hskp17
    | ~ c2_1(a28) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a28) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( c3_1(a28)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(72,negated_conjecture,
    ( ~ hskp16
    | ~ c1_1(a27) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(73,negated_conjecture,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(76,negated_conjecture,
    ( ~ hskp15
    | ~ c2_1(a24) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(77,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a24) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a24) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(80,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a22) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(81,negated_conjecture,
    ( c3_1(a22)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(84,negated_conjecture,
    ( ~ hskp13
    | ~ c3_1(a21) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(85,negated_conjecture,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(88,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a20) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( ~ hskp12
    | ~ c1_1(a20) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(92,negated_conjecture,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a19) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( c2_1(a19)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(96,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(97,negated_conjecture,
    ( ~ hskp10
    | ~ c0_1(a18) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(100,negated_conjecture,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(101,negated_conjecture,
    ( c1_1(a16)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( c0_1(a16)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(104,negated_conjecture,
    ( ~ hskp8
    | ~ c3_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(108,negated_conjecture,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( ~ hskp7
    | ~ c0_1(a14) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( c1_1(a14)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(112,negated_conjecture,
    ( ~ hskp6
    | ~ c3_1(a13) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a13) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a13) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(116,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a11) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a11) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( c0_1(a11)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(120,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a9) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( ~ hskp4
    | ~ c2_1(a9) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( c0_1(a9)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a7) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(125,negated_conjecture,
    ( c3_1(a7)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( c0_1(a7)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(128,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( c3_1(a3)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( c1_1(a3)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(132,negated_conjecture,
    ( ~ hskp1
    | ~ c3_1(a2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( ~ hskp1
    | ~ c0_1(a2) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( ndr1_0
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(136,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(137,negated_conjecture,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(140,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c2_1(X3)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp1
    | hskp0
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(143,negated_conjecture,
    ( hskp1
    | hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(146,negated_conjecture,
    ( hskp0
    | hskp3
    | c1_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(148,negated_conjecture,
    ( hskp4
    | c1_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(149,negated_conjecture,
    ( hskp0
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp5
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(153,negated_conjecture,
    ( hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(157,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp10
    | c2_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp11
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp12
    | 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(163,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(164,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(165,negated_conjecture,
    ( hskp7
    | hskp28
    | c2_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(168,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(169,negated_conjecture,
    ( hskp18
    | hskp3
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp15
    | hskp11
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp19
    | hskp29
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( hskp17
    | hskp21
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp20
    | hskp21
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(177,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp20
    | hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp23
    | hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp18
    | hskp13
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(182,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ c2_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(185,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(186,negated_conjecture,
    ( hskp12
    | hskp30
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( hskp12
    | hskp22
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(193,negated_conjecture,
    ( c2_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c0_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(194,negated_conjecture,
    ( hskp14
    | hskp16
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp25
    | hskp5
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(196,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp6
    | hskp24
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp9
    | hskp29
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( hskp0
    | hskp28
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(201,negated_conjecture,
    ( hskp8
    | c3_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(202,negated_conjecture,
    ( hskp10
    | hskp21
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(203,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(204,negated_conjecture,
    ( hskp7
    | ~ 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(206,negated_conjecture,
    ( hskp25
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(207,negated_conjecture,
    ( hskp16
    | hskp27
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(208,negated_conjecture,
    ( hskp3
    | hskp30
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(209,negated_conjecture,
    ( hskp0
    | hskp22
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(210,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(211,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(212,negated_conjecture,
    ( ndr1_0
    | hskp28
    | hskp20 ),
    inference(spm,[status(thm)],[135,8,theory(equality)]) ).

cnf(1080,negated_conjecture,
    ( hskp6
    | c3_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(csr,[status(thm)],[203,168]) ).

cnf(1509,negated_conjecture,
    ( hskp28
    | ndr1_0 ),
    inference(csr,[status(thm)],[212,59]) ).

cnf(1510,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[1509,27]) ).

cnf(1511,negated_conjecture,
    ( c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X3)
    | $false ),
    inference(rw,[status(thm)],[174,1510,theory(equality)]) ).

cnf(1512,negated_conjecture,
    ( c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X3) ),
    inference(cn,[status(thm)],[1511,theory(equality)]) ).

cnf(1513,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[193,1510,theory(equality)]) ).

cnf(1514,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | ~ c0_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1513,theory(equality)]) ).

cnf(1517,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,1510,theory(equality)]) ).

cnf(1518,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1517,theory(equality)]) ).

cnf(1523,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[152,1510,theory(equality)]) ).

cnf(1524,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X3)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1523,theory(equality)]) ).

cnf(1525,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,1510,theory(equality)]) ).

cnf(1526,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X3)
    | ~ c0_1(X2)
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1525,theory(equality)]) ).

cnf(1527,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[147,1510,theory(equality)]) ).

cnf(1528,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1527,theory(equality)]) ).

cnf(1529,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | $false ),
    inference(rw,[status(thm)],[140,1510,theory(equality)]) ).

cnf(1530,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    inference(cn,[status(thm)],[1529,theory(equality)]) ).

cnf(1531,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,1510,theory(equality)]) ).

cnf(1532,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c3_1(X3)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X3)
    | ~ c0_1(X3)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1531,theory(equality)]) ).

cnf(1535,negated_conjecture,
    ( hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[206,1510,theory(equality)]) ).

cnf(1536,negated_conjecture,
    ( hskp25
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1535,theory(equality)]) ).

cnf(1537,negated_conjecture,
    ( hskp7
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[204,1510,theory(equality)]) ).

cnf(1538,negated_conjecture,
    ( hskp7
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1537,theory(equality)]) ).

cnf(1539,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[184,1510,theory(equality)]) ).

cnf(1540,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1539,theory(equality)]) ).

cnf(1541,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[201,1510,theory(equality)]) ).

cnf(1542,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1541,theory(equality)]) ).

cnf(1543,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[173,1510,theory(equality)]) ).

cnf(1544,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1543,theory(equality)]) ).

cnf(1545,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[187,1510,theory(equality)]) ).

cnf(1546,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c1_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1545,theory(equality)]) ).

cnf(1547,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[157,1510,theory(equality)]) ).

cnf(1548,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1547,theory(equality)]) ).

cnf(1549,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[199,1510,theory(equality)]) ).

cnf(1550,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1549,theory(equality)]) ).

cnf(1551,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[1080,1510,theory(equality)]) ).

cnf(1552,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1551,theory(equality)]) ).

cnf(1553,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[158,1510,theory(equality)]) ).

cnf(1554,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1553,theory(equality)]) ).

cnf(1555,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[148,1510,theory(equality)]) ).

cnf(1556,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1555,theory(equality)]) ).

cnf(1557,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[182,1510,theory(equality)]) ).

cnf(1558,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1557,theory(equality)]) ).

cnf(1559,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[162,1510,theory(equality)]) ).

cnf(1560,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1559,theory(equality)]) ).

cnf(1561,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,1510,theory(equality)]) ).

cnf(1562,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1561,theory(equality)]) ).

cnf(1563,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[159,1510,theory(equality)]) ).

cnf(1564,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1563,theory(equality)]) ).

cnf(1565,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[145,1510,theory(equality)]) ).

cnf(1566,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c2_1(X2)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1565,theory(equality)]) ).

cnf(1567,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[153,1510,theory(equality)]) ).

cnf(1568,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1567,theory(equality)]) ).

cnf(1569,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[171,1510,theory(equality)]) ).

cnf(1570,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1569,theory(equality)]) ).

cnf(1573,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[144,1510,theory(equality)]) ).

cnf(1574,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1573,theory(equality)]) ).

cnf(1575,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[149,1510,theory(equality)]) ).

cnf(1576,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1575,theory(equality)]) ).

cnf(1577,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[151,1510,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1577,theory(equality)]) ).

cnf(1579,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[207,1510,theory(equality)]) ).

cnf(1580,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1579,theory(equality)]) ).

cnf(1583,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[210,1510,theory(equality)]) ).

cnf(1584,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1583,theory(equality)]) ).

cnf(1585,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[208,1510,theory(equality)]) ).

cnf(1586,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1585,theory(equality)]) ).

cnf(1587,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[211,1510,theory(equality)]) ).

cnf(1588,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1587,theory(equality)]) ).

cnf(1589,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[209,1510,theory(equality)]) ).

cnf(1590,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1589,theory(equality)]) ).

cnf(1591,negated_conjecture,
    ( hskp29
    | hskp19
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[172,1510,theory(equality)]) ).

cnf(1592,negated_conjecture,
    ( hskp29
    | hskp19
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1591,theory(equality)]) ).

cnf(1593,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,1510,theory(equality)]) ).

cnf(1594,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1593,theory(equality)]) ).

cnf(1595,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[175,1510,theory(equality)]) ).

cnf(1596,negated_conjecture,
    ( hskp21
    | hskp17
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1595,theory(equality)]) ).

cnf(1597,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,1510,theory(equality)]) ).

cnf(1598,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1597,theory(equality)]) ).

cnf(1599,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,1510,theory(equality)]) ).

cnf(1600,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1599,theory(equality)]) ).

cnf(1601,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,1510,theory(equality)]) ).

cnf(1602,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1601,theory(equality)]) ).

cnf(1603,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,1510,theory(equality)]) ).

cnf(1604,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1603,theory(equality)]) ).

cnf(1605,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[202,1510,theory(equality)]) ).

cnf(1606,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1605,theory(equality)]) ).

cnf(1607,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,1510,theory(equality)]) ).

cnf(1608,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1607,theory(equality)]) ).

cnf(1609,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[185,1510,theory(equality)]) ).

cnf(1610,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1609,theory(equality)]) ).

cnf(1611,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[197,1510,theory(equality)]) ).

cnf(1612,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1611,theory(equality)]) ).

cnf(1613,negated_conjecture,
    ( hskp25
    | hskp5
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[195,1510,theory(equality)]) ).

cnf(1614,negated_conjecture,
    ( hskp25
    | hskp5
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1613,theory(equality)]) ).

cnf(1615,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[189,1510,theory(equality)]) ).

cnf(1616,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1615,theory(equality)]) ).

cnf(1617,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[200,1510,theory(equality)]) ).

cnf(1618,negated_conjecture,
    ( hskp28
    | c2_1(X1)
    | hskp0
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1617,theory(equality)]) ).

cnf(1619,negated_conjecture,
    ( hskp23
    | hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,1510,theory(equality)]) ).

cnf(1620,negated_conjecture,
    ( hskp23
    | hskp22
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1619,theory(equality)]) ).

cnf(1621,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,1510,theory(equality)]) ).

cnf(1622,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1621,theory(equality)]) ).

cnf(1623,negated_conjecture,
    ( hskp17
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[166,1510,theory(equality)]) ).

cnf(1624,negated_conjecture,
    ( hskp17
    | hskp16
    | c0_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1623,theory(equality)]) ).

cnf(1625,negated_conjecture,
    ( hskp18
    | hskp13
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,1510,theory(equality)]) ).

cnf(1626,negated_conjecture,
    ( hskp18
    | hskp13
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1625,theory(equality)]) ).

cnf(1627,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[163,1510,theory(equality)]) ).

cnf(1628,negated_conjecture,
    ( hskp14
    | hskp13
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1627,theory(equality)]) ).

cnf(1629,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[192,1510,theory(equality)]) ).

cnf(1630,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1629,theory(equality)]) ).

cnf(1631,negated_conjecture,
    ( hskp15
    | hskp11
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[170,1510,theory(equality)]) ).

cnf(1632,negated_conjecture,
    ( hskp15
    | hskp11
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1631,theory(equality)]) ).

cnf(1633,negated_conjecture,
    ( hskp28
    | hskp7
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[165,1510,theory(equality)]) ).

cnf(1634,negated_conjecture,
    ( hskp28
    | hskp7
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1633,theory(equality)]) ).

cnf(1635,negated_conjecture,
    ( hskp15
    | hskp5
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[164,1510,theory(equality)]) ).

cnf(1636,negated_conjecture,
    ( hskp15
    | hskp5
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1635,theory(equality)]) ).

cnf(1639,negated_conjecture,
    ( hskp18
    | hskp3
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[169,1510,theory(equality)]) ).

cnf(1640,negated_conjecture,
    ( hskp18
    | hskp3
    | c0_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1639,theory(equality)]) ).

cnf(1643,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[146,1510,theory(equality)]) ).

cnf(1644,negated_conjecture,
    ( hskp3
    | c0_1(X1)
    | c1_1(X1)
    | hskp0
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1643,theory(equality)]) ).

cnf(1645,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[176,1510,theory(equality)]) ).

cnf(1646,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[1645,theory(equality)]) ).

cnf(1649,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[143,1510,theory(equality)]) ).

cnf(1650,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[1649,theory(equality)]) ).

cnf(1651,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | hskp0
    | $false ),
    inference(rw,[status(thm)],[142,1510,theory(equality)]) ).

cnf(1652,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c3_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[1651,theory(equality)]) ).

cnf(1684,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1580,126,theory(equality)]) ).

cnf(1690,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c3_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1580,54,theory(equality)]) ).

cnf(1694,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1580,22,theory(equality)]) ).

cnf(1695,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ c3_1(a54)
    | ~ c1_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1580,18,theory(equality)]) ).

cnf(1704,negated_conjecture,
    ( c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(a12)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(a12)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1512,29,theory(equality)]) ).

cnf(1705,negated_conjecture,
    ( c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(a25)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(a25)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1512,26,theory(equality)]) ).

cnf(1707,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[1684,125]) ).

cnf(1720,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[1690,53]) ).

cnf(1739,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(a16)
    | ~ c1_1(X2)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1514,102,theory(equality)]) ).

cnf(1742,negated_conjecture,
    ( c3_1(a38)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(a38)
    | ~ c1_1(X2)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1514,54,theory(equality)]) ).

cnf(1751,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[1694,21]) ).

cnf(1752,negated_conjecture,
    ( hskp27
    | hskp16
    | ~ hskp30
    | ~ c1_1(a54) ),
    inference(csr,[status(thm)],[1695,16]) ).

cnf(1773,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1584,22,theory(equality)]) ).

cnf(1809,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ c3_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1586,54,theory(equality)]) ).

cnf(1813,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1586,22,theory(equality)]) ).

cnf(1815,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a7)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(a7)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1518,126,theory(equality)]) ).

cnf(1817,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a11)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(a11)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1518,118,theory(equality)]) ).

cnf(1820,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a27)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(a27)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1518,74,theory(equality)]) ).

cnf(1847,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(a37)
    | ~ c2_1(a37)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1588,58,theory(equality)]) ).

cnf(1849,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(a99)
    | ~ c2_1(a99)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1588,34,theory(equality)]) ).

cnf(1850,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(a12)
    | ~ c2_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1588,29,theory(equality)]) ).

cnf(1851,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(a25)
    | ~ c2_1(a25)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1588,26,theory(equality)]) ).

cnf(1852,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(a35)
    | ~ c2_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1588,21,theory(equality)]) ).

cnf(1870,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[1773,21]) ).

cnf(1878,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c3_1(a7)
    | ~ c1_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1590,126,theory(equality)]) ).

cnf(1884,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c3_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1590,54,theory(equality)]) ).

cnf(1887,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1590,30,theory(equality)]) ).

cnf(1888,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ c3_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1590,22,theory(equality)]) ).

cnf(1911,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[1809,53]) ).

cnf(1925,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp14
    | ~ c3_1(a22)
    | ~ c1_1(a22) ),
    inference(spm,[status(thm)],[80,1592,theory(equality)]) ).

cnf(1929,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp20
    | ~ c3_1(a37)
    | ~ c1_1(a37) ),
    inference(spm,[status(thm)],[56,1592,theory(equality)]) ).

cnf(1931,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp26
    | ~ c3_1(a99)
    | ~ c1_1(a99) ),
    inference(spm,[status(thm)],[32,1592,theory(equality)]) ).

cnf(1932,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp29
    | hskp19
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1580,1592,theory(equality)]) ).

cnf(1935,negated_conjecture,
    ( hskp25
    | hskp5
    | hskp29
    | hskp19
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1584,1592,theory(equality)]) ).

cnf(1948,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a42)
    | ~ c2_1(X2)
    | ~ c2_1(a42)
    | ~ c1_1(X2)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1524,50,theory(equality)]) ).

cnf(1964,negated_conjecture,
    ( hskp30
    | hskp3
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[1813,21]) ).

cnf(1971,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a7)
    | ~ c3_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1594,126,theory(equality)]) ).

cnf(1976,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a27)
    | ~ c3_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1594,74,theory(equality)]) ).

cnf(1978,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a42)
    | ~ c3_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1594,50,theory(equality)]) ).

cnf(1982,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a54)
    | ~ c3_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1594,18,theory(equality)]) ).

cnf(1986,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c2_1(a11)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1526,118,theory(equality)]) ).

cnf(2000,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp14
    | ~ c1_1(a22) ),
    inference(csr,[status(thm)],[1925,81]) ).

cnf(2017,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp10
    | ~ c3_1(a18)
    | ~ c2_1(a18) ),
    inference(spm,[status(thm)],[97,1596,theory(equality)]) ).

cnf(2019,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp14
    | ~ c3_1(a22)
    | ~ c2_1(a22) ),
    inference(spm,[status(thm)],[80,1596,theory(equality)]) ).

cnf(2023,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp20
    | ~ c3_1(a37)
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[56,1596,theory(equality)]) ).

cnf(2024,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp24
    | ~ c3_1(a58)
    | ~ c2_1(a58) ),
    inference(spm,[status(thm)],[41,1596,theory(equality)]) ).

cnf(2025,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp26
    | ~ c3_1(a99)
    | ~ c2_1(a99) ),
    inference(spm,[status(thm)],[32,1596,theory(equality)]) ).

cnf(2040,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a11)
    | c2_1(X1)
    | c1_1(a11)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1528,118,theory(equality)]) ).

cnf(2055,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp20
    | ~ c3_1(a37) ),
    inference(csr,[status(thm)],[1929,58]) ).

cnf(2056,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2055,57]) ).

cnf(2060,negated_conjecture,
    ( hskp29
    | hskp19
    | ~ hskp26
    | ~ c3_1(a99) ),
    inference(csr,[status(thm)],[1931,34]) ).

cnf(2061,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp20
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[1847,57]) ).

cnf(2065,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp26
    | ~ c3_1(a99) ),
    inference(csr,[status(thm)],[1849,33]) ).

cnf(2066,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a7)
    | ~ c1_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1598,126,theory(equality)]) ).

cnf(2069,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a16)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1598,102,theory(equality)]) ).

cnf(2072,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1598,54,theory(equality)]) ).

cnf(2083,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a16)
    | c3_1(X2)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(X2)
    | c1_1(X1)
    | ~ c2_1(X2)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1530,101,theory(equality)]) ).

cnf(2100,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp10
    | ~ c2_1(a18) ),
    inference(csr,[status(thm)],[2017,98]) ).

cnf(2101,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp27
    | ~ c2_1(a12) ),
    inference(csr,[status(thm)],[1850,28]) ).

cnf(2102,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp28
    | ~ c3_1(a25) ),
    inference(csr,[status(thm)],[1851,25]) ).

cnf(2103,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[2102,24]) ).

cnf(2104,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[1852,20]) ).

cnf(2105,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a7)
    | ~ c1_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1600,126,theory(equality)]) ).

cnf(2108,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a16)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1600,102,theory(equality)]) ).

cnf(2111,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1600,54,theory(equality)]) ).

cnf(2114,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a12)
    | ~ c1_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1600,30,theory(equality)]) ).

cnf(2121,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(a11)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1532,118,theory(equality)]) ).

cnf(2136,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp14
    | ~ c3_1(a22) ),
    inference(csr,[status(thm)],[2019,82]) ).

cnf(2137,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2136,81]) ).

cnf(2144,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[1878,125]) ).

cnf(2151,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a7)
    | ~ c3_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1602,126,theory(equality)]) ).

cnf(2156,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a27)
    | ~ c3_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1602,74,theory(equality)]) ).

cnf(2162,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a54)
    | ~ c3_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1602,18,theory(equality)]) ).

cnf(2177,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp20
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[2023,57]) ).

cnf(2178,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp24
    | ~ c3_1(a58) ),
    inference(csr,[status(thm)],[2024,42]) ).

cnf(2179,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp26
    | ~ c3_1(a99) ),
    inference(csr,[status(thm)],[2025,33]) ).

cnf(2189,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[1884,53]) ).

cnf(2195,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(a27)
    | ~ c2_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1604,74,theory(equality)]) ).

cnf(2197,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(a42)
    | ~ c2_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1604,50,theory(equality)]) ).

cnf(2198,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(a70)
    | ~ c2_1(a70)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1604,38,theory(equality)]) ).

cnf(2213,negated_conjecture,
    ( hskp25
    | ~ c3_1(X1)
    | ~ c3_1(a12)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c1_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1536,30,theory(equality)]) ).

cnf(2221,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ hskp27
    | ~ c3_1(a12) ),
    inference(csr,[status(thm)],[1887,29]) ).

cnf(2222,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2221,28]) ).

cnf(2223,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp13
    | hskp8 ),
    inference(spm,[status(thm)],[2222,14,theory(equality)]) ).

cnf(2224,negated_conjecture,
    ( hskp22
    | hskp0
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[1888,21]) ).

cnf(2226,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a7)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[1971,125]) ).

cnf(2228,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp23
    | hskp18
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1707,2226,theory(equality)]) ).

cnf(2237,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(a16)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1606,102,theory(equality)]) ).

cnf(2238,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(a21)
    | ~ c1_1(a21)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1606,86,theory(equality)]) ).

cnf(2244,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1606,22,theory(equality)]) ).

cnf(2257,negated_conjecture,
    ( hskp7
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c2_1(X1)
    | ~ c1_1(a12)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1538,30,theory(equality)]) ).

cnf(2258,negated_conjecture,
    ( hskp7
    | ~ c0_1(X1)
    | ~ c3_1(a35)
    | ~ c2_1(X1)
    | ~ c1_1(a35)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1538,22,theory(equality)]) ).

cnf(2272,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[1976,73]) ).

cnf(2273,negated_conjecture,
    ( hskp23
    | hskp18
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2272,72]) ).

cnf(2274,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a7)
    | ~ c3_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1608,126,theory(equality)]) ).

cnf(2276,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a11)
    | ~ c3_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1608,118,theory(equality)]) ).

cnf(2280,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a38)
    | ~ c3_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1608,54,theory(equality)]) ).

cnf(2283,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a12)
    | ~ c3_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1608,30,theory(equality)]) ).

cnf(2297,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c2_1(X1)
    | ~ c1_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1540,30,theory(equality)]) ).

cnf(2305,negated_conjecture,
    ( hskp23
    | hskp18
    | ~ hskp22
    | ~ c3_1(a42) ),
    inference(csr,[status(thm)],[1978,48]) ).

cnf(2315,negated_conjecture,
    ( hskp23
    | hskp18
    | c1_1(a54)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[1982,16]) ).

cnf(2317,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp23
    | hskp18
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1752,2315,theory(equality)]) ).

cnf(2324,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp18
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2317,2273]) ).

cnf(2330,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(a21)
    | ~ c2_1(a21)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1610,86,theory(equality)]) ).

cnf(2331,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(a27)
    | ~ c2_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1610,74,theory(equality)]) ).

cnf(2333,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(a42)
    | ~ c2_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1610,50,theory(equality)]) ).

cnf(2349,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1542,30,theory(equality)]) ).

cnf(2357,negated_conjecture,
    ( hskp17
    | hskp14
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[2066,124]) ).

cnf(2360,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(a7)
    | ~ c1_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1612,126,theory(equality)]) ).

cnf(2363,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(a16)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1612,102,theory(equality)]) ).

cnf(2366,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1612,54,theory(equality)]) ).

cnf(2374,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c3_1(a1)
    | ~ c3_1(X1)
    | ~ c2_1(a1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1544,138,theory(equality)]) ).

cnf(2396,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a16)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2069,101]) ).

cnf(2410,negated_conjecture,
    ( hskp25
    | hskp5
    | c2_1(a38)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1614,54,theory(equality)]) ).

cnf(2422,negated_conjecture,
    ( hskp20
    | c3_1(a21)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a21)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1546,86,theory(equality)]) ).

cnf(2432,negated_conjecture,
    ( hskp17
    | hskp14
    | c2_1(a38)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2072,53]) ).

cnf(2433,negated_conjecture,
    ( hskp17
    | hskp14
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2432,52]) ).

cnf(2448,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a7)
    | ~ c3_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1616,126,theory(equality)]) ).

cnf(2450,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a11)
    | ~ c3_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1616,118,theory(equality)]) ).

cnf(2453,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a27)
    | ~ c3_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1616,74,theory(equality)]) ).

cnf(2459,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a54)
    | ~ c3_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1616,18,theory(equality)]) ).

cnf(2472,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ c2_1(a35)
    | ~ c1_1(a35)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1548,22,theory(equality)]) ).

cnf(2479,negated_conjecture,
    ( hskp16
    | hskp14
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[2105,124]) ).

cnf(2480,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp23
    | hskp18
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2479,2226,theory(equality)]) ).

cnf(2481,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2480,2273]) ).

cnf(2486,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a16)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2108,101]) ).

cnf(2493,negated_conjecture,
    ( hskp28
    | c2_1(a37)
    | hskp0
    | ~ c3_1(a37)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1618,58,theory(equality)]) ).

cnf(2496,negated_conjecture,
    ( hskp28
    | c2_1(a12)
    | hskp0
    | ~ c3_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1618,29,theory(equality)]) ).

cnf(2501,negated_conjecture,
    ( hskp9
    | c3_1(a1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1550,138,theory(equality)]) ).

cnf(2508,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a99)
    | ~ c1_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1550,34,theory(equality)]) ).

cnf(2517,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a38)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2111,53]) ).

cnf(2518,negated_conjecture,
    ( hskp16
    | hskp14
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2517,52]) ).

cnf(2526,negated_conjecture,
    ( hskp16
    | hskp14
    | c2_1(a12)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2114,29]) ).

cnf(2528,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp16
    | hskp14
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2101,2526,theory(equality)]) ).

cnf(2534,negated_conjecture,
    ( hskp23
    | hskp22
    | c2_1(a24)
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[77,1620,theory(equality)]) ).

cnf(2553,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp23
    | c2_1(a7)
    | ~ hskp3
    | ~ c3_1(a7) ),
    inference(spm,[status(thm)],[2144,1620,theory(equality)]) ).

cnf(2562,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1552,137,theory(equality)]) ).

cnf(2563,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a19)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1552,94,theory(equality)]) ).

cnf(2564,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a20)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1552,90,theory(equality)]) ).

cnf(2565,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a21)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1552,85,theory(equality)]) ).

cnf(2570,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a99)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1552,33,theory(equality)]) ).

cnf(2572,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c3_1(a35)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1552,20,theory(equality)]) ).

cnf(2592,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a11)
    | ~ hskp5
    | ~ c3_1(a11) ),
    inference(spm,[status(thm)],[117,1622,theory(equality)]) ).

cnf(2595,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a18)
    | ~ hskp10
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[96,1622,theory(equality)]) ).

cnf(2597,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a24)
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[77,1622,theory(equality)]) ).

cnf(2598,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a27)
    | ~ hskp16
    | ~ c3_1(a27) ),
    inference(spm,[status(thm)],[72,1622,theory(equality)]) ).

cnf(2601,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a45)
    | ~ hskp23
    | ~ c3_1(a45) ),
    inference(spm,[status(thm)],[45,1622,theory(equality)]) ).

cnf(2635,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ c2_1(a35)
    | ~ c1_1(a35)
    | ~ c1_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1554,22,theory(equality)]) ).

cnf(2642,negated_conjecture,
    ( hskp23
    | hskp22
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[2534,76]) ).

cnf(2651,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a7)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2151,125]) ).

cnf(2653,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp24
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1707,2651,theory(equality)]) ).

cnf(2670,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a14)
    | ~ hskp7
    | ~ c1_1(a14) ),
    inference(spm,[status(thm)],[109,1624,theory(equality)]) ).

cnf(2676,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a31)
    | ~ hskp18
    | ~ c1_1(a31) ),
    inference(spm,[status(thm)],[65,1624,theory(equality)]) ).

cnf(2679,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a99)
    | ~ hskp26
    | ~ c1_1(a99) ),
    inference(spm,[status(thm)],[32,1624,theory(equality)]) ).

cnf(2720,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(a12)
    | ~ c3_1(X1)
    | ~ c1_1(a12)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1556,30,theory(equality)]) ).

cnf(2742,negated_conjecture,
    ( hskp18
    | hskp13
    | c2_1(a45)
    | ~ hskp23
    | ~ c3_1(a45) ),
    inference(spm,[status(thm)],[45,1626,theory(equality)]) ).

cnf(2757,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp18
    | hskp13
    | c2_1(a7)
    | ~ hskp3
    | ~ c3_1(a7) ),
    inference(spm,[status(thm)],[2144,1626,theory(equality)]) ).

cnf(2770,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(a21)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a21)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1558,86,theory(equality)]) ).

cnf(2773,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(a42)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1558,50,theory(equality)]) ).

cnf(2790,negated_conjecture,
    ( hskp22
    | hskp20
    | ~ hskp5
    | ~ c3_1(a11) ),
    inference(csr,[status(thm)],[2592,116]) ).

cnf(2799,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a18)
    | ~ hskp10
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[97,1628,theory(equality)]) ).

cnf(2802,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a24)
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[78,1628,theory(equality)]) ).

cnf(2803,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a28)
    | ~ hskp17
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,1628,theory(equality)]) ).

cnf(2805,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a37)
    | ~ hskp20
    | ~ c3_1(a37) ),
    inference(spm,[status(thm)],[56,1628,theory(equality)]) ).

cnf(2844,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(a16)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1560,102,theory(equality)]) ).

cnf(2863,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a18)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2595,98]) ).

cnf(2864,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp22
    | hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2100,2863,theory(equality)]) ).

cnf(2869,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2156,73]) ).

cnf(2870,negated_conjecture,
    ( hskp24
    | hskp13
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2869,72]) ).

cnf(2880,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a9)
    | c2_1(a9)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1630,122,theory(equality)]) ).

cnf(2881,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a11)
    | c2_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1630,118,theory(equality)]) ).

cnf(2882,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a16)
    | c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1630,102,theory(equality)]) ).

cnf(2885,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a38)
    | c2_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1630,54,theory(equality)]) ).

cnf(2887,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a70)
    | c2_1(a70)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1630,38,theory(equality)]) ).

cnf(2895,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(a7)
    | c2_1(X1)
    | ~ c3_1(a7)
    | ~ c3_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1562,126,theory(equality)]) ).

cnf(2914,negated_conjecture,
    ( hskp22
    | hskp20
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[2597,76]) ).

cnf(2915,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2598,73]) ).

cnf(2935,negated_conjecture,
    ( hskp15
    | hskp11
    | c3_1(a31)
    | ~ hskp18
    | ~ c2_1(a31) ),
    inference(spm,[status(thm)],[65,1632,theory(equality)]) ).

cnf(2979,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a27)
    | ~ c3_1(X1)
    | ~ c2_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1564,73,theory(equality)]) ).

cnf(2981,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a36)
    | ~ c3_1(X1)
    | ~ c2_1(a36)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[1564,61,theory(equality)]) ).

cnf(2987,negated_conjecture,
    ( hskp22
    | hskp20
    | c2_1(a45)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2601,46]) ).

cnf(2988,negated_conjecture,
    ( hskp22
    | hskp20
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2987,44]) ).

cnf(2999,negated_conjecture,
    ( hskp24
    | hskp13
    | c1_1(a54)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2162,16]) ).

cnf(3001,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp24
    | hskp13
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1752,2999,theory(equality)]) ).

cnf(3003,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp13
    | ~ c3_1(a54)
    | ~ c2_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1588,2999,theory(equality)]) ).

cnf(3014,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a18)
    | ~ hskp10
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[97,1634,theory(equality)]) ).

cnf(3018,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a28)
    | ~ hskp17
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,1634,theory(equality)]) ).

cnf(3020,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a37)
    | ~ hskp20
    | ~ c3_1(a37) ),
    inference(spm,[status(thm)],[56,1634,theory(equality)]) ).

cnf(3044,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(X1)
    | hskp28
    | hskp7
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[1608,1634,theory(equality)]) ).

cnf(3060,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c2_1(a3)
    | c1_1(X1)
    | ~ c3_1(a3)
    | ~ c2_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1566,130,theory(equality)]) ).

cnf(3083,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp13
    | ~ hskp30 ),
    inference(csr,[status(thm)],[3001,2870]) ).

cnf(3089,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a14)
    | ~ hskp7
    | ~ c3_1(a14) ),
    inference(spm,[status(thm)],[109,1636,theory(equality)]) ).

cnf(3090,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a18)
    | ~ hskp10
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[97,1636,theory(equality)]) ).

cnf(3094,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a28)
    | ~ hskp17
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,1636,theory(equality)]) ).

cnf(3096,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a37)
    | ~ hskp20
    | ~ c3_1(a37) ),
    inference(spm,[status(thm)],[56,1636,theory(equality)]) ).

cnf(3141,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a38)
    | c2_1(X1)
    | ~ c1_1(a38)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1568,54,theory(equality)]) ).

cnf(3213,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a14)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[2670,110]) ).

cnf(3241,negated_conjecture,
    ( hskp18
    | hskp3
    | c3_1(a13)
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[114,1640,theory(equality)]) ).

cnf(3250,negated_conjecture,
    ( hskp18
    | hskp3
    | c3_1(a58)
    | ~ hskp24
    | ~ c2_1(a58) ),
    inference(spm,[status(thm)],[41,1640,theory(equality)]) ).

cnf(3316,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a31)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[2676,66]) ).

cnf(3317,negated_conjecture,
    ( hskp17
    | hskp16
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3316,64]) ).

cnf(3328,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp16
    | ~ c2_1(a27) ),
    inference(csr,[status(thm)],[2195,72]) ).

cnf(3330,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp22
    | hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3328,2915,theory(equality)]) ).

cnf(3379,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(a27)
    | c1_1(a27)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1574,73,theory(equality)]) ).

cnf(3380,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(a28)
    | c1_1(a28)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1574,70,theory(equality)]) ).

cnf(3383,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(a45)
    | c1_1(a45)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1574,46,theory(equality)]) ).

cnf(3407,negated_conjecture,
    ( hskp30
    | hskp12
    | c1_1(a42)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2197,49]) ).

cnf(3408,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp22 ),
    inference(csr,[status(thm)],[3407,48]) ).

cnf(3418,negated_conjecture,
    ( hskp3
    | c1_1(a13)
    | hskp0
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[114,1644,theory(equality)]) ).

cnf(3420,negated_conjecture,
    ( hskp3
    | c1_1(a18)
    | hskp0
    | ~ hskp10
    | ~ c2_1(a18) ),
    inference(spm,[status(thm)],[97,1644,theory(equality)]) ).

cnf(3422,negated_conjecture,
    ( hskp3
    | c1_1(a22)
    | hskp0
    | ~ hskp14
    | ~ c2_1(a22) ),
    inference(spm,[status(thm)],[80,1644,theory(equality)]) ).

cnf(3427,negated_conjecture,
    ( hskp3
    | c1_1(a58)
    | hskp0
    | ~ hskp24
    | ~ c2_1(a58) ),
    inference(spm,[status(thm)],[41,1644,theory(equality)]) ).

cnf(3470,negated_conjecture,
    ( c0_1(a22)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c2_1(a22)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1576,81,theory(equality)]) ).

cnf(3474,negated_conjecture,
    ( c0_1(a37)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c2_1(a37)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1576,57,theory(equality)]) ).

cnf(3486,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp25
    | ~ c2_1(a70) ),
    inference(csr,[status(thm)],[2198,37]) ).

cnf(3493,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a11)
    | c2_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[117,1646,theory(equality)]) ).

cnf(3494,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a13)
    | c2_1(a13)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[113,1646,theory(equality)]) ).

cnf(3495,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a15)
    | c2_1(a15)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[106,1646,theory(equality)]) ).

cnf(3498,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a24)
    | c2_1(a24)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[77,1646,theory(equality)]) ).

cnf(3532,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(a20)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a20)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1578,90,theory(equality)]) ).

cnf(3552,negated_conjecture,
    ( hskp17
    | hskp16
    | c3_1(a99)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2679,34]) ).

cnf(3556,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2179,3552,theory(equality)]) ).

cnf(3560,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp29
    | hskp14 ),
    inference(spm,[status(thm)],[3556,15,theory(equality)]) ).

cnf(3561,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp17
    | hskp16 ),
    inference(csr,[status(thm)],[3560,2137]) ).

cnf(3615,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a13)
    | c1_1(a13)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[114,1650,theory(equality)]) ).

cnf(3618,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a19)
    | c1_1(a19)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[93,1650,theory(equality)]) ).

cnf(3620,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a24)
    | c1_1(a24)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[78,1650,theory(equality)]) ).

cnf(3624,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a58)
    | c1_1(a58)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[41,1650,theory(equality)]) ).

cnf(3684,negated_conjecture,
    ( hskp1
    | c3_1(a13)
    | c1_1(a13)
    | hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[114,1652,theory(equality)]) ).

cnf(3749,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(a16)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2237,101]) ).

cnf(3750,negated_conjecture,
    ( hskp21
    | hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3749,100]) ).

cnf(3779,negated_conjecture,
    ( hskp21
    | hskp10
    | ~ hskp13
    | ~ c1_1(a21) ),
    inference(csr,[status(thm)],[2238,84]) ).

cnf(3811,negated_conjecture,
    ( hskp18
    | hskp13
    | c2_1(a45)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2742,46]) ).

cnf(3812,negated_conjecture,
    ( hskp18
    | hskp13
    | ~ hskp23 ),
    inference(csr,[status(thm)],[3811,44]) ).

cnf(3813,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp27
    | hskp16
    | ~ hskp3 ),
    inference(spm,[status(thm)],[3812,2228,theory(equality)]) ).

cnf(3816,negated_conjecture,
    ( hskp18
    | hskp13
    | ~ hskp16 ),
    inference(spm,[status(thm)],[3812,2273,theory(equality)]) ).

cnf(3818,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp14
    | ~ hskp3 ),
    inference(spm,[status(thm)],[3812,2481,theory(equality)]) ).

cnf(3824,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp14
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[3317,3818,theory(equality)]) ).

cnf(3825,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3813,3816]) ).

cnf(3869,negated_conjecture,
    ( hskp21
    | hskp10
    | c3_1(a35)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2244,21]) ).

cnf(3870,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp21
    | hskp10
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1751,3869,theory(equality)]) ).

cnf(3871,negated_conjecture,
    ( hskp25
    | hskp5
    | hskp21
    | hskp10
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1870,3869,theory(equality)]) ).

cnf(3873,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp21
    | hskp10
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2104,3869,theory(equality)]) ).

cnf(3875,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp21
    | hskp10
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2224,3869,theory(equality)]) ).

cnf(3922,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp17
    | hskp0
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2864,3875,theory(equality)]) ).

cnf(3936,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp17
    | hskp0
    | hskp16 ),
    inference(spm,[status(thm)],[3922,3561,theory(equality)]) ).

cnf(3946,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a7)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2274,125]) ).

cnf(3947,negated_conjecture,
    ( hskp29
    | hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3946,124]) ).

cnf(3952,negated_conjecture,
    ( hskp29
    | hskp9
    | ~ hskp5
    | ~ c3_1(a11) ),
    inference(csr,[status(thm)],[2276,116]) ).

cnf(3983,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a18)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2799,98]) ).

cnf(3984,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp14
    | hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2100,3983,theory(equality)]) ).

cnf(3988,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3984,2137]) ).

cnf(3989,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[3988,3750,theory(equality)]) ).

cnf(4000,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp27
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(a12)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1704,28]) ).

cnf(4010,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp27
    | ~ c3_1(a12)
    | ~ c3_1(X1)
    | ~ c2_1(a12)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[4000,30,theory(equality)]) ).

cnf(4048,negated_conjecture,
    ( hskp29
    | hskp9
    | ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[2280,52]) ).

cnf(4051,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp28
    | ~ c0_1(X2)
    | ~ c3_1(a25)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1705,25]) ).

cnf(4052,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp28
    | ~ c0_1(X2)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4051,24]) ).

cnf(4058,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp28
    | ~ c3_1(a27)
    | ~ c3_1(X1)
    | ~ c2_1(a27)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[4052,74,theory(equality)]) ).

cnf(4091,negated_conjecture,
    ( hskp29
    | hskp9
    | c2_1(a12)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2283,28]) ).

cnf(4093,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp29
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2101,4091,theory(equality)]) ).

cnf(4126,negated_conjecture,
    ( hskp14
    | hskp13
    | ~ hskp15
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[2802,76]) ).

cnf(4127,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a28)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2803,70]) ).

cnf(4128,negated_conjecture,
    ( hskp14
    | hskp13
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4127,68]) ).

cnf(4133,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp9
    | ~ hskp27 ),
    inference(csr,[status(thm)],[4093,3947]) ).

cnf(4153,negated_conjecture,
    ( hskp14
    | hskp13
    | c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2805,57]) ).

cnf(4155,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp14
    | hskp13
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2177,4153,theory(equality)]) ).

cnf(4163,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp13
    | ~ hskp20 ),
    inference(csr,[status(thm)],[4155,2137]) ).

cnf(4171,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(a21)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[2330,85]) ).

cnf(4182,negated_conjecture,
    ( hskp21
    | hskp10
    | hskp15
    | hskp9
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3779,4171,theory(equality)]) ).

cnf(4208,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp10
    | ~ hskp13 ),
    inference(csr,[status(thm)],[4182,3750]) ).

cnf(4218,negated_conjecture,
    ( hskp15
    | hskp9
    | ~ hskp16
    | ~ c2_1(a27) ),
    inference(csr,[status(thm)],[2331,72]) ).

cnf(4220,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp22
    | hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[4218,2915,theory(equality)]) ).

cnf(4245,negated_conjecture,
    ( hskp15
    | hskp9
    | c1_1(a42)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[2333,49]) ).

cnf(4246,negated_conjecture,
    ( hskp15
    | hskp9
    | ~ hskp22 ),
    inference(csr,[status(thm)],[4245,48]) ).

cnf(4254,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp21
    | hskp20
    | hskp17
    | hskp16
    | hskp0 ),
    inference(spm,[status(thm)],[4246,3936,theory(equality)]) ).

cnf(4257,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp20
    | ~ hskp16 ),
    inference(spm,[status(thm)],[4246,4220,theory(equality)]) ).

cnf(4259,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c2_1(X2)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1739,101]) ).

cnf(4260,negated_conjecture,
    ( c2_1(X2)
    | c2_1(X1)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[4259,100]) ).

cnf(4261,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a7)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c3_1(a7)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4260,126,theory(equality)]) ).

cnf(4263,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a11)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c3_1(a11)
    | ~ c1_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[4260,118,theory(equality)]) ).

cnf(4267,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a38)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c3_1(a38)
    | ~ c1_1(X1)
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4260,54,theory(equality)]) ).

cnf(4270,negated_conjecture,
    ( c2_1(X1)
    | c2_1(a12)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c1_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[4260,30,theory(equality)]) ).

cnf(4386,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp18
    | ~ c2_1(a31) ),
    inference(csr,[status(thm)],[2935,64]) ).

cnf(4407,negated_conjecture,
    ( c3_1(a38)
    | c2_1(X1)
    | c2_1(X2)
    | ~ hskp21
    | ~ c0_1(X1)
    | ~ c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1742,53]) ).

cnf(4408,negated_conjecture,
    ( c3_1(a38)
    | c2_1(X1)
    | c2_1(a7)
    | ~ hskp21
    | ~ c0_1(X1)
    | ~ c3_1(a7)
    | ~ c1_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4407,126,theory(equality)]) ).

cnf(4443,negated_conjecture,
    ( hskp24
    | hskp6
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[2360,124]) ).

cnf(4447,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[4443,2651,theory(equality)]) ).

cnf(4500,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(a16)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2363,101]) ).

cnf(4512,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a18)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3014,98]) ).

cnf(4513,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp28
    | hskp7
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2100,4512,theory(equality)]) ).

cnf(4520,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp17
    | hskp7
    | hskp24
    | hskp3
    | ~ hskp29 ),
    inference(spm,[status(thm)],[4513,3873,theory(equality)]) ).

cnf(4533,negated_conjecture,
    ( hskp24
    | hskp6
    | c2_1(a38)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2366,53]) ).

cnf(4534,negated_conjecture,
    ( hskp24
    | hskp6
    | ~ hskp21 ),
    inference(csr,[status(thm)],[4533,52]) ).

cnf(4568,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a28)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3018,70]) ).

cnf(4569,negated_conjecture,
    ( hskp28
    | hskp7
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4568,68]) ).

cnf(4615,negated_conjecture,
    ( hskp28
    | hskp7
    | c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3020,57]) ).

cnf(4617,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp28
    | hskp7
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2177,4615,theory(equality)]) ).

cnf(4625,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp7
    | ~ hskp20 ),
    inference(csr,[status(thm)],[4617,4569]) ).

cnf(4665,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp7
    | ~ c3_1(a14) ),
    inference(csr,[status(thm)],[3089,108]) ).

cnf(4666,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp17
    | hskp16
    | ~ hskp7 ),
    inference(spm,[status(thm)],[4665,3213,theory(equality)]) ).

cnf(4672,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a18)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[3090,98]) ).

cnf(4673,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp15
    | hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2100,4672,theory(equality)]) ).

cnf(4678,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp15
    | hskp5
    | hskp27
    | hskp16
    | ~ hskp29 ),
    inference(spm,[status(thm)],[4673,3870,theory(equality)]) ).

cnf(4679,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp15
    | hskp5
    | hskp25
    | ~ hskp29 ),
    inference(spm,[status(thm)],[4673,3871,theory(equality)]) ).

cnf(4709,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a28)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[3094,70]) ).

cnf(4710,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp17 ),
    inference(csr,[status(thm)],[4709,68]) ).

cnf(4732,negated_conjecture,
    ( hskp15
    | hskp5
    | c2_1(a37)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3096,57]) ).

cnf(4734,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp15
    | hskp5
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2177,4732,theory(equality)]) ).

cnf(4738,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp5
    | ~ hskp20 ),
    inference(csr,[status(thm)],[4734,4710]) ).

cnf(4739,negated_conjecture,
    ( hskp25
    | hskp5
    | c2_1(a38)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2410,53]) ).

cnf(4740,negated_conjecture,
    ( hskp25
    | hskp5
    | ~ hskp21 ),
    inference(csr,[status(thm)],[4739,52]) ).

cnf(4765,negated_conjecture,
    ( hskp18
    | hskp3
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[3241,112]) ).

cnf(4769,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a7)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2448,125]) ).

cnf(4771,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1707,4769,theory(equality)]) ).

cnf(4777,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp15
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2357,4769,theory(equality)]) ).

cnf(4805,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp5
    | ~ c3_1(a11) ),
    inference(csr,[status(thm)],[2450,117]) ).

cnf(4904,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[2453,73]) ).

cnf(4905,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp16 ),
    inference(csr,[status(thm)],[4904,72]) ).

cnf(4973,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(a54)
    | ~ hskp30 ),
    inference(csr,[status(thm)],[2459,16]) ).

cnf(4975,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp15
    | hskp4
    | ~ hskp30 ),
    inference(spm,[status(thm)],[1752,4973,theory(equality)]) ).

cnf(4989,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp4
    | ~ hskp30 ),
    inference(csr,[status(thm)],[4975,4905]) ).

cnf(4994,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp4
    | hskp12
    | ~ hskp22 ),
    inference(spm,[status(thm)],[4989,3408,theory(equality)]) ).

cnf(5094,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a7)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp3
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1815,125]) ).

cnf(5095,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp3
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[5094,124]) ).

cnf(5099,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp3
    | ~ c3_1(X1)
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[5095,101,theory(equality)]) ).

cnf(5129,negated_conjecture,
    ( hskp28
    | c2_1(a37)
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2493,57]) ).

cnf(5130,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp28
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[2061,5129,theory(equality)]) ).

cnf(5135,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[5130,2103]) ).

cnf(5155,negated_conjecture,
    ( hskp28
    | c2_1(a12)
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[2496,28]) ).

cnf(5157,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp28
    | hskp0
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2101,5155,theory(equality)]) ).

cnf(5162,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp5
    | ~ c3_1(a11)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1817,116]) ).

cnf(5166,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp5
    | ~ c3_1(a11)
    | ~ c3_1(X1)
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[5162,101,theory(equality)]) ).

cnf(5206,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp27 ),
    inference(csr,[status(thm)],[5157,2103]) ).

cnf(5257,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a9)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[2880,121]) ).

cnf(5258,negated_conjecture,
    ( hskp22
    | hskp12
    | ~ hskp4 ),
    inference(csr,[status(thm)],[5257,120]) ).

cnf(5272,negated_conjecture,
    ( hskp18
    | hskp3
    | c3_1(a58)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3250,42]) ).

cnf(5274,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp18
    | hskp3
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2178,5272,theory(equality)]) ).

cnf(5278,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp21
    | hskp3
    | ~ hskp24 ),
    inference(spm,[status(thm)],[3317,5274,theory(equality)]) ).

cnf(5281,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp14
    | hskp13
    | hskp21
    | ~ hskp24 ),
    inference(spm,[status(thm)],[3824,5278,theory(equality)]) ).

cnf(5284,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a11)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2881,116]) ).

cnf(5288,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp12
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2790,5284,theory(equality)]) ).

cnf(5294,negated_conjecture,
    ( hskp29
    | hskp9
    | hskp22
    | hskp12
    | ~ hskp5 ),
    inference(spm,[status(thm)],[3952,5284,theory(equality)]) ).

cnf(5295,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp22
    | hskp12
    | ~ hskp5 ),
    inference(spm,[status(thm)],[4805,5284,theory(equality)]) ).

cnf(5298,negated_conjecture,
    ( c3_1(X1)
    | c2_1(a27)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp16
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1820,73]) ).

cnf(5302,negated_conjecture,
    ( c3_1(a16)
    | c2_1(a27)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[5298,101,theory(equality)]) ).

cnf(5346,negated_conjecture,
    ( hskp22
    | hskp15
    | hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[5295,5258]) ).

cnf(5380,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[5281,13]) ).

cnf(5381,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[5380,2518]) ).

cnf(5382,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[5381,4128]) ).

cnf(5384,negated_conjecture,
    ( hskp22
    | hskp12
    | c2_1(a16)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2882,100]) ).

cnf(5409,negated_conjecture,
    ( hskp22
    | hskp12
    | c3_1(a38)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2885,52]) ).

cnf(5410,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp22
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1720,5409,theory(equality)]) ).

cnf(5411,negated_conjecture,
    ( hskp30
    | hskp3
    | hskp22
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[1911,5409,theory(equality)]) ).

cnf(5413,negated_conjecture,
    ( hskp22
    | hskp0
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2189,5409,theory(equality)]) ).

cnf(5417,negated_conjecture,
    ( hskp29
    | hskp9
    | hskp22
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4048,5409,theory(equality)]) ).

cnf(5444,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp3
    | ~ hskp21 ),
    inference(csr,[status(thm)],[5411,3408]) ).

cnf(5445,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp18
    | hskp12
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[2324,5444,theory(equality)]) ).

cnf(5449,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp13
    | hskp12
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[3083,5444,theory(equality)]) ).

cnf(5456,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp4
    | hskp12
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4989,5444,theory(equality)]) ).

cnf(5467,negated_conjecture,
    ( hskp22
    | hskp12
    | c2_1(a70)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2887,36]) ).

cnf(5470,negated_conjecture,
    ( hskp30
    | hskp12
    | hskp22
    | ~ hskp25 ),
    inference(spm,[status(thm)],[3486,5467,theory(equality)]) ).

cnf(5473,negated_conjecture,
    ( hskp30
    | hskp12
    | ~ hskp25 ),
    inference(csr,[status(thm)],[5470,3408]) ).

cnf(5485,negated_conjecture,
    ( hskp27
    | hskp15
    | hskp4
    | hskp12
    | ~ hskp25 ),
    inference(spm,[status(thm)],[4989,5473,theory(equality)]) ).

cnf(5599,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp27
    | hskp12
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[3812,5445,theory(equality)]) ).

cnf(5600,negated_conjecture,
    ( hskp27
    | hskp24
    | hskp13
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[5449,13]) ).

cnf(5604,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp14
    | hskp3
    | hskp13
    | hskp12 ),
    inference(spm,[status(thm)],[2528,5600,theory(equality)]) ).

cnf(5685,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp14
    | hskp13
    | hskp3 ),
    inference(csr,[status(thm)],[5604,5382]) ).

cnf(5686,negated_conjecture,
    ( hskp24
    | hskp16
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[5685,5382]) ).

cnf(5687,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[5686,2870]) ).

cnf(5914,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp13
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[5599,3825]) ).

cnf(6082,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[3418,113]) ).

cnf(6126,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp10
    | ~ c2_1(a18) ),
    inference(csr,[status(thm)],[3420,96]) ).

cnf(6128,negated_conjecture,
    ( hskp3
    | hskp0
    | hskp22
    | hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6126,2863,theory(equality)]) ).

cnf(6130,negated_conjecture,
    ( hskp3
    | hskp0
    | hskp14
    | hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6126,3983,theory(equality)]) ).

cnf(6140,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp3
    | hskp0
    | hskp21
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[6128,4208,theory(equality)]) ).

cnf(6171,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp3
    | hskp0
    | hskp24
    | hskp21
    | ~ hskp29 ),
    inference(spm,[status(thm)],[6130,3873,theory(equality)]) ).

cnf(6259,negated_conjecture,
    ( hskp3
    | c1_1(a22)
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[3422,82]) ).

cnf(6261,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ c3_1(a22)
    | ~ c2_1(a22)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1588,6259,theory(equality)]) ).

cnf(6379,negated_conjecture,
    ( hskp3
    | c1_1(a58)
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3427,42]) ).

cnf(6380,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp24 ),
    inference(csr,[status(thm)],[6379,40]) ).

cnf(6431,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a11)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3493,116]) ).

cnf(6504,negated_conjecture,
    ( hskp21
    | hskp20
    | c2_1(a13)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3494,112]) ).

cnf(6509,negated_conjecture,
    ( hskp18
    | hskp3
    | hskp21
    | hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[4765,6504,theory(equality)]) ).

cnf(6511,negated_conjecture,
    ( hskp3
    | hskp0
    | hskp21
    | hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[6082,6504,theory(equality)]) ).

cnf(6514,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp21
    | hskp20
    | hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[3317,6509,theory(equality)]) ).

cnf(6550,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a15)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[3495,105]) ).

cnf(6551,negated_conjecture,
    ( hskp21
    | hskp20
    | ~ hskp8 ),
    inference(csr,[status(thm)],[6550,104]) ).

cnf(6553,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp22
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[6551,2223,theory(equality)]) ).

cnf(6608,negated_conjecture,
    ( hskp21
    | hskp20
    | c3_1(a24)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3498,76]) ).

cnf(6611,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp21
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2914,6608,theory(equality)]) ).

cnf(6616,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp21
    | hskp20
    | ~ hskp15 ),
    inference(spm,[status(thm)],[4126,6608,theory(equality)]) ).

cnf(6631,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp14
    | hskp13
    | hskp9
    | ~ hskp16 ),
    inference(spm,[status(thm)],[6616,4257,theory(equality)]) ).

cnf(6719,negated_conjecture,
    ( hskp29
    | hskp27
    | hskp19
    | hskp16
    | ~ c3_1(a3)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1932,130,theory(equality)]) ).

cnf(6846,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | hskp5
    | ~ c3_1(a25)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1935,26,theory(equality)]) ).

cnf(6868,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp14
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[6631,5382]) ).

cnf(6869,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp20
    | hskp13
    | hskp9 ),
    inference(spm,[status(thm)],[2137,6868,theory(equality)]) ).

cnf(6870,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp13 ),
    inference(csr,[status(thm)],[6869,3989]) ).

cnf(6871,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp13 ),
    inference(csr,[status(thm)],[6870,4163]) ).

cnf(7042,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a13)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3615,113]) ).

cnf(7043,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[7042,112]) ).

cnf(7092,negated_conjecture,
    ( hskp2
    | hskp1
    | c1_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[3618,92]) ).

cnf(7210,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a24)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[3620,77]) ).

cnf(7316,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(a58)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[3624,40]) ).

cnf(7351,negated_conjecture,
    ( hskp1
    | c3_1(a13)
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[3684,113]) ).

cnf(7352,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp6 ),
    inference(csr,[status(thm)],[7351,112]) ).

cnf(7696,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(a42)
    | ~ hskp22
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[1948,49]) ).

cnf(7697,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp22
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[7696,48]) ).

cnf(7728,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp15
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[4254,4257]) ).

cnf(7729,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp14
    | hskp13
    | hskp17
    | hskp9
    | hskp0 ),
    inference(spm,[status(thm)],[6616,7728,theory(equality)]) ).

cnf(7995,negated_conjecture,
    ( hskp29
    | hskp27
    | hskp19
    | hskp16
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6719,129]) ).

cnf(8033,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp5
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1986,116]) ).

cnf(8128,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp14
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[7729,6871]) ).

cnf(8129,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[8128,6871]) ).

cnf(8130,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp14
    | hskp13 ),
    inference(csr,[status(thm)],[8129,4128]) ).

cnf(8215,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | hskp5
    | ~ c3_1(a25) ),
    inference(csr,[status(thm)],[6846,10]) ).

cnf(8216,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | hskp5
    | ~ hskp28 ),
    inference(spm,[status(thm)],[8215,24,theory(equality)]) ).

cnf(8217,negated_conjecture,
    ( hskp29
    | hskp25
    | hskp19
    | hskp5 ),
    inference(csr,[status(thm)],[8216,10]) ).

cnf(8219,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp17
    | hskp15
    | hskp5
    | hskp19 ),
    inference(spm,[status(thm)],[4679,8217,theory(equality)]) ).

cnf(8225,negated_conjecture,
    ( hskp25
    | hskp21
    | hskp19
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[8219,4710]) ).

cnf(8226,negated_conjecture,
    ( hskp25
    | hskp19
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[8225,4740]) ).

cnf(8635,negated_conjecture,
    ( hskp23
    | hskp22
    | c2_1(a7)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2553,125]) ).

cnf(8636,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[8635,124]) ).

cnf(8637,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[2988,8636,theory(equality)]) ).

cnf(8755,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp3
    | ~ hskp30
    | ~ c3_1(a54) ),
    inference(csr,[status(thm)],[3003,17]) ).

cnf(8756,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp3
    | ~ hskp30 ),
    inference(csr,[status(thm)],[8755,16]) ).

cnf(8974,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(a11)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp5
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[2040,117]) ).

cnf(8975,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ hskp5
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[8974,116]) ).

cnf(9091,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp14
    | ~ c3_1(a22) ),
    inference(csr,[status(thm)],[6261,82]) ).

cnf(9092,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[9091,81]) ).

cnf(9093,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[9092,6380]) ).

cnf(9132,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp21
    | hskp7
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[4520,4569]) ).

cnf(9133,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp7
    | hskp3
    | ~ hskp29 ),
    inference(csr,[status(thm)],[9132,2103]) ).

cnf(9338,negated_conjecture,
    ( hskp27
    | hskp21
    | hskp17
    | hskp16
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[4678,3561]) ).

cnf(9339,negated_conjecture,
    ( hskp27
    | hskp21
    | hskp16
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[9338,4710]) ).

cnf(9582,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ hskp9
    | ~ c2_1(X2) ),
    inference(csr,[status(thm)],[2083,100]) ).

cnf(10139,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ hskp5
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2121,117]) ).

cnf(11429,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp15
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[6140,6553]) ).

cnf(11430,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[11429,6611]) ).

cnf(11431,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[11430,8637]) ).

cnf(11659,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp14
    | hskp13
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[6171,13]) ).

cnf(11660,negated_conjecture,
    ( hskp24
    | hskp14
    | hskp13
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[11659,5687]) ).

cnf(11661,negated_conjecture,
    ( hskp14
    | hskp13
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[11660,6380]) ).

cnf(11662,negated_conjecture,
    ( hskp13
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[11661,9093]) ).

cnf(11962,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ c3_1(a12)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2213,29]) ).

cnf(11963,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[11962,28]) ).

cnf(11969,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ c3_1(a37)
    | ~ c2_1(a37)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[11963,58,theory(equality)]) ).

cnf(11972,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ c3_1(a12)
    | ~ c2_1(a12) ),
    inference(spm,[status(thm)],[11963,29,theory(equality)]) ).

cnf(12012,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ c2_1(a12) ),
    inference(csr,[status(thm)],[11972,28]) ).

cnf(12015,negated_conjecture,
    ( hskp25
    | hskp29
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[12012,4091,theory(equality)]) ).

cnf(12375,negated_conjecture,
    ( hskp25
    | ~ hskp27
    | ~ hskp20
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[11969,57]) ).

cnf(12894,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2257,29]) ).

cnf(12895,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[12894,28]) ).

cnf(12899,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c2_1(a16)
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12895,102,theory(equality)]) ).

cnf(12905,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c2_1(a12)
    | ~ c1_1(a12) ),
    inference(spm,[status(thm)],[12895,30,theory(equality)]) ).

cnf(12906,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c2_1(a35)
    | ~ c1_1(a35)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12895,22,theory(equality)]) ).

cnf(12928,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c2_1(a12) ),
    inference(csr,[status(thm)],[12905,29]) ).

cnf(12931,negated_conjecture,
    ( hskp7
    | hskp29
    | hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[12928,4091,theory(equality)]) ).

cnf(12940,negated_conjecture,
    ( hskp7
    | hskp29
    | hskp28
    | hskp9
    | ~ hskp27
    | ~ c3_1(a12) ),
    inference(spm,[status(thm)],[12928,3044,theory(equality)]) ).

cnf(12958,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ c0_1(X1)
    | ~ c3_1(a35)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2258,21]) ).

cnf(12969,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ c3_1(a35)
    | ~ c2_1(a35)
    | ~ c1_1(a35) ),
    inference(spm,[status(thm)],[12958,22,theory(equality)]) ).

cnf(13314,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ hskp9
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[12899,101]) ).

cnf(13319,negated_conjecture,
    ( hskp7
    | hskp22
    | hskp12
    | ~ hskp27
    | ~ hskp9 ),
    inference(spm,[status(thm)],[13314,5384,theory(equality)]) ).

cnf(13446,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ hskp27
    | ~ c2_1(a35) ),
    inference(csr,[status(thm)],[12906,21]) ).

cnf(13447,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13446,20]) ).

cnf(13449,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp15
    | hskp5
    | ~ hskp29
    | ~ hskp27 ),
    inference(spm,[status(thm)],[4666,13447,theory(equality)]) ).

cnf(13460,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp5
    | ~ hskp29
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13449,4710]) ).

cnf(13462,negated_conjecture,
    ( hskp16
    | hskp15
    | hskp5
    | hskp21
    | hskp17
    | ~ hskp27 ),
    inference(spm,[status(thm)],[13460,3561,theory(equality)]) ).

cnf(13507,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[13462,9339]) ).

cnf(13508,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[13507,4710]) ).

cnf(13514,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ c3_1(a35)
    | ~ c2_1(a35) ),
    inference(csr,[status(thm)],[12969,21]) ).

cnf(13515,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ c3_1(a35) ),
    inference(csr,[status(thm)],[13514,20]) ).

cnf(13685,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp9
    | hskp7
    | ~ hskp27 ),
    inference(csr,[status(thm)],[12940,28]) ).

cnf(13686,negated_conjecture,
    ( hskp29
    | hskp9
    | hskp7
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13685,12931]) ).

cnf(13687,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13686,13447]) ).

cnf(13692,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2297,29]) ).

cnf(13693,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[13692,28]) ).

cnf(13699,negated_conjecture,
    ( hskp12
    | c1_1(a27)
    | ~ hskp27
    | ~ c2_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[13693,74,theory(equality)]) ).

cnf(13701,negated_conjecture,
    ( hskp12
    | c1_1(a42)
    | ~ hskp27
    | ~ c2_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[13693,50,theory(equality)]) ).

cnf(13702,negated_conjecture,
    ( hskp12
    | c1_1(a70)
    | ~ hskp27
    | ~ c2_1(a70)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[13693,38,theory(equality)]) ).

cnf(13705,negated_conjecture,
    ( hskp12
    | c1_1(a54)
    | ~ hskp27
    | ~ c2_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[13693,18,theory(equality)]) ).

cnf(13907,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp16
    | ~ c2_1(a27) ),
    inference(csr,[status(thm)],[13699,72]) ).

cnf(13909,negated_conjecture,
    ( hskp12
    | hskp22
    | hskp20
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[13907,2915,theory(equality)]) ).

cnf(13927,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp12
    | hskp13
    | hskp8
    | ~ hskp16 ),
    inference(spm,[status(thm)],[13909,14,theory(equality)]) ).

cnf(14002,negated_conjecture,
    ( hskp12
    | c1_1(a42)
    | ~ hskp27
    | ~ hskp22 ),
    inference(csr,[status(thm)],[13701,49]) ).

cnf(14003,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp22 ),
    inference(csr,[status(thm)],[14002,48]) ).

cnf(14004,negated_conjecture,
    ( hskp12
    | hskp13
    | hskp8
    | ~ hskp22 ),
    inference(spm,[status(thm)],[14003,14,theory(equality)]) ).

cnf(14011,negated_conjecture,
    ( hskp12
    | hskp15
    | hskp4
    | ~ hskp22 ),
    inference(spm,[status(thm)],[14003,4994,theory(equality)]) ).

cnf(14022,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12
    | ~ hskp22 ),
    inference(spm,[status(thm)],[6551,14004,theory(equality)]) ).

cnf(14142,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | ~ hskp5 ),
    inference(spm,[status(thm)],[14011,5346,theory(equality)]) ).

cnf(14242,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12
    | ~ hskp5 ),
    inference(spm,[status(thm)],[14022,5288,theory(equality)]) ).

cnf(14251,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12
    | ~ hskp15 ),
    inference(spm,[status(thm)],[14022,6611,theory(equality)]) ).

cnf(14469,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12
    | hskp16
    | hskp5 ),
    inference(spm,[status(thm)],[14251,13508,theory(equality)]) ).

cnf(14478,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp25
    | ~ c2_1(a70) ),
    inference(csr,[status(thm)],[13702,37]) ).

cnf(14479,negated_conjecture,
    ( hskp12
    | hskp22
    | ~ hskp27
    | ~ hskp25 ),
    inference(spm,[status(thm)],[14478,5467,theory(equality)]) ).

cnf(14493,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[14479,14003]) ).

cnf(14501,negated_conjecture,
    ( hskp12
    | hskp15
    | hskp4
    | ~ hskp25 ),
    inference(spm,[status(thm)],[14493,5485,theory(equality)]) ).

cnf(14579,negated_conjecture,
    ( hskp12
    | c1_1(a54)
    | ~ hskp30
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13705,17]) ).

cnf(14637,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp27
    | ~ c3_1(a54)
    | ~ c2_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[11963,14579,theory(equality)]) ).

cnf(14740,negated_conjecture,
    ( hskp20
    | hskp13
    | hskp12
    | hskp8
    | ~ hskp16 ),
    inference(csr,[status(thm)],[13927,14004]) ).

cnf(14741,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12
    | ~ hskp16 ),
    inference(spm,[status(thm)],[6551,14740,theory(equality)]) ).

cnf(14749,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp13
    | hskp12 ),
    inference(csr,[status(thm)],[14469,14242]) ).

cnf(14750,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp12 ),
    inference(csr,[status(thm)],[14749,14741]) ).

cnf(14857,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c3_1(a12)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2349,29]) ).

cnf(14858,negated_conjecture,
    ( hskp8
    | c3_1(X1)
    | ~ hskp27
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14857,28]) ).

cnf(14862,negated_conjecture,
    ( hskp8
    | c3_1(a16)
    | ~ hskp27
    | ~ c1_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[14858,102,theory(equality)]) ).

cnf(14952,negated_conjecture,
    ( hskp8
    | c3_1(a16)
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[14862,101]) ).

cnf(14953,negated_conjecture,
    ( hskp8
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[14952,100]) ).

cnf(14954,negated_conjecture,
    ( hskp8
    | hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[14953,14,theory(equality)]) ).

cnf(15279,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | c3_1(a1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2374,137]) ).

cnf(15280,negated_conjecture,
    ( hskp20
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15279,136]) ).

cnf(15284,negated_conjecture,
    ( hskp20
    | ~ hskp10
    | ~ c3_1(a18)
    | ~ c2_1(a18)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[97,15280,theory(equality)]) ).

cnf(15286,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ c3_1(a22)
    | ~ c2_1(a22)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[80,15280,theory(equality)]) ).

cnf(15291,negated_conjecture,
    ( hskp20
    | ~ hskp24
    | ~ c3_1(a58)
    | ~ c2_1(a58)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[41,15280,theory(equality)]) ).

cnf(15454,negated_conjecture,
    ( hskp20
    | ~ hskp10
    | ~ c2_1(a18)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15284,98]) ).

cnf(15456,negated_conjecture,
    ( hskp20
    | hskp22
    | ~ hskp10
    | ~ hskp0 ),
    inference(spm,[status(thm)],[15454,2863,theory(equality)]) ).

cnf(15476,negated_conjecture,
    ( hskp22
    | hskp20
    | hskp21
    | hskp15
    | ~ hskp0
    | ~ hskp13 ),
    inference(spm,[status(thm)],[15456,4208,theory(equality)]) ).

cnf(15804,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ c3_1(a22)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15286,82]) ).

cnf(15805,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15804,81]) ).

cnf(15806,negated_conjecture,
    ( hskp20
    | hskp17
    | ~ hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[15805,2433,theory(equality)]) ).

cnf(15807,negated_conjecture,
    ( hskp20
    | hskp16
    | ~ hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[15805,2518,theory(equality)]) ).

cnf(15808,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp0
    | ~ hskp17 ),
    inference(spm,[status(thm)],[15805,4128,theory(equality)]) ).

cnf(15813,negated_conjecture,
    ( hskp20
    | hskp21
    | hskp13
    | ~ hskp0 ),
    inference(spm,[status(thm)],[15805,8130,theory(equality)]) ).

cnf(15832,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[15808,15806,theory(equality)]) ).

cnf(15837,negated_conjecture,
    ( hskp20
    | hskp13
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15832,15813]) ).

cnf(15982,negated_conjecture,
    ( hskp20
    | ~ hskp24
    | ~ c3_1(a58)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15291,42]) ).

cnf(15984,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp3
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[15982,5272,theory(equality)]) ).

cnf(15986,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp1
    | ~ hskp24
    | ~ hskp0 ),
    inference(spm,[status(thm)],[15982,7316,theory(equality)]) ).

cnf(15992,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[15984,6380]) ).

cnf(15993,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp20
    | hskp3
    | ~ hskp24 ),
    inference(spm,[status(thm)],[3317,15992,theory(equality)]) ).

cnf(16128,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp15
    | ~ hskp0 ),
    inference(csr,[status(thm)],[15476,15837]) ).

cnf(16129,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20
    | hskp15 ),
    inference(csr,[status(thm)],[16128,11431]) ).

cnf(16130,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp20 ),
    inference(csr,[status(thm)],[16129,6611]) ).

cnf(16396,negated_conjecture,
    ( hskp20
    | c3_1(a21)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2422,85]) ).

cnf(16397,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[16396,84]) ).

cnf(16398,negated_conjecture,
    ( hskp20
    | c1_1(a7)
    | ~ hskp13
    | ~ c3_1(a7)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[16397,126,theory(equality)]) ).

cnf(16400,negated_conjecture,
    ( hskp20
    | c1_1(a11)
    | ~ hskp13
    | ~ c3_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[16397,118,theory(equality)]) ).

cnf(16403,negated_conjecture,
    ( hskp20
    | c1_1(a27)
    | ~ hskp13
    | ~ c3_1(a27)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[16397,74,theory(equality)]) ).

cnf(16405,negated_conjecture,
    ( hskp20
    | c1_1(a42)
    | ~ hskp13
    | ~ c3_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[16397,50,theory(equality)]) ).

cnf(16409,negated_conjecture,
    ( hskp20
    | c1_1(a54)
    | ~ hskp13
    | ~ c3_1(a54)
    | ~ hskp30 ),
    inference(spm,[status(thm)],[16397,18,theory(equality)]) ).

cnf(16438,negated_conjecture,
    ( hskp20
    | c1_1(a7)
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[16398,125]) ).

cnf(16440,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp20
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1707,16438,theory(equality)]) ).

cnf(16446,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp20
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2357,16438,theory(equality)]) ).

cnf(16448,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp20
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2479,16438,theory(equality)]) ).

cnf(16453,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp20
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[4443,16438,theory(equality)]) ).

cnf(16522,negated_conjecture,
    ( hskp8
    | hskp20
    | hskp16
    | ~ hskp9
    | ~ hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[14953,16440,theory(equality)]) ).

cnf(16549,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp14
    | hskp24
    | ~ hskp13
    | ~ hskp28 ),
    inference(spm,[status(thm)],[16446,2103,theory(equality)]) ).

cnf(16560,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | ~ hskp3 ),
    inference(csr,[status(thm)],[16448,5382]) ).

cnf(16561,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp24
    | ~ hskp28 ),
    inference(spm,[status(thm)],[16560,2103,theory(equality)]) ).

cnf(16566,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp21
    | hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[16560,6514,theory(equality)]) ).

cnf(16571,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp17
    | ~ hskp24 ),
    inference(spm,[status(thm)],[16560,15993,theory(equality)]) ).

cnf(16574,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[16453,4447]) ).

cnf(16575,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6
    | ~ hskp28 ),
    inference(spm,[status(thm)],[16574,2103,theory(equality)]) ).

cnf(16581,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6
    | hskp0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[16574,9093,theory(equality)]) ).

cnf(16588,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp1
    | hskp6
    | ~ hskp0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[15986,16575,theory(equality)]) ).

cnf(16609,negated_conjecture,
    ( hskp20
    | hskp24
    | hskp16
    | ~ hskp0
    | ~ hskp28 ),
    inference(spm,[status(thm)],[15805,16561,theory(equality)]) ).

cnf(16613,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp20
    | hskp16
    | ~ hskp24 ),
    inference(spm,[status(thm)],[2137,16571,theory(equality)]) ).

cnf(16615,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[15805,16571,theory(equality)]) ).

cnf(16616,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[16581,15805]) ).

cnf(16736,negated_conjecture,
    ( hskp20
    | ~ hskp13
    | ~ hskp5
    | ~ c3_1(a11) ),
    inference(csr,[status(thm)],[16400,117]) ).

cnf(16739,negated_conjecture,
    ( hskp20
    | hskp21
    | ~ hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[16736,6431,theory(equality)]) ).

cnf(16760,negated_conjecture,
    ( hskp20
    | c1_1(a27)
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[16403,73]) ).

cnf(16761,negated_conjecture,
    ( hskp20
    | ~ hskp16
    | ~ hskp13 ),
    inference(csr,[status(thm)],[16760,72]) ).

cnf(16763,negated_conjecture,
    ( hskp20
    | ~ hskp13
    | ~ hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[16761,15807,theory(equality)]) ).

cnf(16765,negated_conjecture,
    ( hskp20
    | ~ hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[16763,15837]) ).

cnf(16805,negated_conjecture,
    ( hskp20
    | ~ hskp22
    | ~ hskp13
    | ~ c3_1(a42) ),
    inference(csr,[status(thm)],[16405,48]) ).

cnf(16979,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp8
    | ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[16522,14954]) ).

cnf(16980,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | ~ hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6551,16979,theory(equality)]) ).

cnf(16984,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp0
    | ~ hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[16980,6380,theory(equality)]) ).

cnf(16985,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp0
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[16980,6511,theory(equality)]) ).

cnf(17031,negated_conjecture,
    ( hskp20
    | c1_1(a54)
    | ~ hskp30
    | ~ hskp13 ),
    inference(csr,[status(thm)],[16409,16]) ).

cnf(17033,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp20
    | ~ hskp30
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1752,17031,theory(equality)]) ).

cnf(17108,negated_conjecture,
    ( hskp27
    | hskp20
    | ~ hskp30
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17033,16761]) ).

cnf(17113,negated_conjecture,
    ( hskp27
    | hskp20
    | hskp12
    | ~ hskp13
    | ~ hskp22 ),
    inference(spm,[status(thm)],[17108,3408,theory(equality)]) ).

cnf(17179,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp22
    | ~ hskp13 ),
    inference(csr,[status(thm)],[17113,14003]) ).

cnf(17210,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp21
    | ~ hskp13 ),
    inference(spm,[status(thm)],[17179,16130,theory(equality)]) ).

cnf(17218,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp12 ),
    inference(csr,[status(thm)],[17210,14750]) ).

cnf(17371,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp17
    | hskp14
    | ~ hskp28 ),
    inference(csr,[status(thm)],[16549,5687]) ).

cnf(17403,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | hskp14
    | ~ hskp6 ),
    inference(csr,[status(thm)],[16566,2518]) ).

cnf(17404,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp20
    | hskp16
    | ~ hskp6 ),
    inference(spm,[status(thm)],[2137,17403,theory(equality)]) ).

cnf(17406,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[15805,17403,theory(equality)]) ).

cnf(17408,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp2
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[16588,8]) ).

cnf(17409,negated_conjecture,
    ( hskp20
    | hskp2
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[17408,7043]) ).

cnf(17467,negated_conjecture,
    ( hskp20
    | hskp21
    | hskp0
    | ~ hskp13
    | ~ hskp9
    | ~ hskp6 ),
    inference(spm,[status(thm)],[16761,16985,theory(equality)]) ).

cnf(17602,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp29
    | ~ c2_1(a35)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2472,21]) ).

cnf(17603,negated_conjecture,
    ( hskp9
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp29
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[17602,20]) ).

cnf(17606,negated_conjecture,
    ( hskp9
    | c2_1(a14)
    | ~ hskp7
    | ~ hskp29
    | ~ c1_1(a14) ),
    inference(spm,[status(thm)],[109,17603,theory(equality)]) ).

cnf(17611,negated_conjecture,
    ( hskp9
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp29
    | ~ c1_1(a28) ),
    inference(spm,[status(thm)],[69,17603,theory(equality)]) ).

cnf(17613,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp20
    | ~ hskp29
    | ~ c1_1(a37) ),
    inference(spm,[status(thm)],[56,17603,theory(equality)]) ).

cnf(17825,negated_conjecture,
    ( hskp9
    | c2_1(a14)
    | ~ hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[17606,110]) ).

cnf(17826,negated_conjecture,
    ( hskp9
    | ~ hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[17825,108]) ).

cnf(17846,negated_conjecture,
    ( hskp9
    | hskp24
    | hskp21
    | hskp3
    | ~ hskp29 ),
    inference(spm,[status(thm)],[17826,9133,theory(equality)]) ).

cnf(17866,negated_conjecture,
    ( hskp9
    | ~ hskp29
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17826,13447,theory(equality)]) ).

cnf(17877,negated_conjecture,
    ( hskp9
    | hskp19
    | ~ hskp27
    | ~ hskp20 ),
    inference(spm,[status(thm)],[17866,2056,theory(equality)]) ).

cnf(17881,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17866,3947,theory(equality)]) ).

cnf(17882,negated_conjecture,
    ( hskp9
    | hskp24
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17866,4133,theory(equality)]) ).

cnf(17884,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp12
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[17866,5294,theory(equality)]) ).

cnf(17885,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp12
    | ~ hskp27
    | ~ hskp21 ),
    inference(spm,[status(thm)],[17866,5417,theory(equality)]) ).

cnf(17900,negated_conjecture,
    ( hskp9
    | hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[17866,12015,theory(equality)]) ).

cnf(17907,negated_conjecture,
    ( hskp9
    | hskp13
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17881,14,theory(equality)]) ).

cnf(17908,negated_conjecture,
    ( hskp9
    | hskp24
    | hskp16
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17881,2653,theory(equality)]) ).

cnf(17917,negated_conjecture,
    ( hskp9
    | hskp20
    | hskp16
    | ~ hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[17881,16440,theory(equality)]) ).

cnf(17968,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp20
    | hskp16
    | ~ hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[17882,16440,theory(equality)]) ).

cnf(18163,negated_conjecture,
    ( hskp13
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[17907,14954]) ).

cnf(18164,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | ~ hskp3 ),
    inference(spm,[status(thm)],[6551,18163,theory(equality)]) ).

cnf(18203,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[18164,11662,theory(equality)]) ).

cnf(18205,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp13 ),
    inference(csr,[status(thm)],[18203,15837]) ).

cnf(18275,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp9
    | hskp3
    | hskp17
    | hskp16 ),
    inference(spm,[status(thm)],[17846,3561,theory(equality)]) ).

cnf(18301,negated_conjecture,
    ( hskp9
    | c3_1(a1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2501,137]) ).

cnf(18302,negated_conjecture,
    ( hskp9
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18301,136]) ).

cnf(18304,negated_conjecture,
    ( hskp9
    | c2_1(a3)
    | ~ c3_1(a3)
    | ~ hskp0
    | ~ hskp2 ),
    inference(spm,[status(thm)],[18302,130,theory(equality)]) ).

cnf(18305,negated_conjecture,
    ( hskp9
    | c2_1(a14)
    | ~ c3_1(a14)
    | ~ hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[18302,110,theory(equality)]) ).

cnf(18308,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ c3_1(a37)
    | ~ hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[18302,58,theory(equality)]) ).

cnf(18309,negated_conjecture,
    ( hskp9
    | c2_1(a38)
    | ~ c3_1(a38)
    | ~ hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[18302,53,theory(equality)]) ).

cnf(18399,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp27
    | ~ hskp5 ),
    inference(csr,[status(thm)],[17884,14003]) ).

cnf(18411,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp27
    | ~ hskp21 ),
    inference(csr,[status(thm)],[17885,14003]) ).

cnf(18489,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[17908,2870]) ).

cnf(18564,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[17917,16761]) ).

cnf(18569,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp21
    | hskp0
    | ~ hskp13
    | ~ hskp6 ),
    inference(spm,[status(thm)],[18564,6511,theory(equality)]) ).

cnf(18570,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp0
    | ~ hskp13
    | ~ hskp14 ),
    inference(spm,[status(thm)],[18564,9093,theory(equality)]) ).

cnf(18633,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | c2_1(X1)
    | ~ hskp26
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2508,33]) ).

cnf(18881,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp14
    | ~ hskp13 ),
    inference(csr,[status(thm)],[18570,15805]) ).

cnf(18897,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp24
    | hskp17
    | ~ hskp13
    | ~ hskp28 ),
    inference(spm,[status(thm)],[18881,17371,theory(equality)]) ).

cnf(19021,negated_conjecture,
    ( hskp9
    | ~ hskp29
    | ~ hskp17
    | ~ c1_1(a28) ),
    inference(csr,[status(thm)],[17611,68]) ).

cnf(19048,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp16
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[18275,5278]) ).

cnf(19054,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp21
    | hskp17
    | hskp9 ),
    inference(spm,[status(thm)],[16560,19048,theory(equality)]) ).

cnf(19090,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp29
    | ~ hskp20 ),
    inference(csr,[status(thm)],[17613,58]) ).

cnf(19092,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp20
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2177,19090,theory(equality)]) ).

cnf(19103,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp20
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19092,3947,theory(equality)]) ).

cnf(19137,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | hskp24
    | ~ hskp20
    | ~ hskp28 ),
    inference(spm,[status(thm)],[19103,2103,theory(equality)]) ).

cnf(19140,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | hskp0
    | ~ hskp20
    | ~ hskp24 ),
    inference(spm,[status(thm)],[19103,6380,theory(equality)]) ).

cnf(19174,negated_conjecture,
    ( hskp9
    | c2_1(a3)
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18304,129]) ).

cnf(19175,negated_conjecture,
    ( hskp9
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19174,128]) ).

cnf(19176,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp0
    | ~ hskp6 ),
    inference(spm,[status(thm)],[19175,7043,theory(equality)]) ).

cnf(19179,negated_conjecture,
    ( hskp9
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[19176,7352]) ).

cnf(19196,negated_conjecture,
    ( hskp9
    | ~ hskp7
    | ~ c3_1(a14)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18305,108]) ).

cnf(19269,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | hskp14
    | hskp9 ),
    inference(csr,[status(thm)],[19054,2518]) ).

cnf(19278,negated_conjecture,
    ( hskp20
    | hskp9
    | hskp17
    | hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[18881,19269,theory(equality)]) ).

cnf(19280,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[19278,16761]) ).

cnf(19325,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp20
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18308,57]) ).

cnf(19326,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp9
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2061,19325,theory(equality)]) ).

cnf(19327,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2177,19325,theory(equality)]) ).

cnf(19334,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | ~ hskp20 ),
    inference(csr,[status(thm)],[19326,5135]) ).

cnf(19347,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp9
    | ~ hskp20 ),
    inference(spm,[status(thm)],[18489,19334,theory(equality)]) ).

cnf(19351,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | hskp24
    | ~ hskp20 ),
    inference(spm,[status(thm)],[19103,19334,theory(equality)]) ).

cnf(19452,negated_conjecture,
    ( hskp9
    | ~ hskp21
    | ~ c3_1(a38)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[18309,52]) ).

cnf(19453,negated_conjecture,
    ( hskp9
    | hskp22
    | hskp12
    | ~ hskp21
    | ~ hskp0 ),
    inference(spm,[status(thm)],[19452,5409,theory(equality)]) ).

cnf(19454,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[19453,5413]) ).

cnf(19461,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | ~ hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[17179,19454,theory(equality)]) ).

cnf(19477,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[19461,17218]) ).

cnf(19556,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2562,136]) ).

cnf(19557,negated_conjecture,
    ( hskp6
    | c3_1(a1)
    | ~ c2_1(a1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[19556,138,theory(equality)]) ).

cnf(19601,negated_conjecture,
    ( hskp6
    | c3_1(a1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19557,137]) ).

cnf(19602,negated_conjecture,
    ( hskp6
    | ~ hskp0 ),
    inference(csr,[status(thm)],[19601,136]) ).

cnf(19610,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | ~ hskp11
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2563,92]) ).

cnf(19614,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | ~ hskp11
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[19610,101,theory(equality)]) ).

cnf(19615,negated_conjecture,
    ( hskp6
    | c3_1(a31)
    | ~ hskp11
    | ~ c2_1(a31)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[19610,66,theory(equality)]) ).

cnf(19668,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | ~ hskp12
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2564,88]) ).

cnf(19672,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | ~ hskp12
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[19668,101,theory(equality)]) ).

cnf(19769,negated_conjecture,
    ( hskp6
    | ~ hskp11
    | ~ hskp9
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[19614,100]) ).

cnf(19771,negated_conjecture,
    ( hskp6
    | hskp16
    | hskp14
    | ~ hskp11
    | ~ hskp9 ),
    inference(spm,[status(thm)],[19769,2486,theory(equality)]) ).

cnf(19870,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | ~ hskp13
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2565,84]) ).

cnf(19874,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | ~ hskp13
    | ~ c2_1(a16)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[19870,101,theory(equality)]) ).

cnf(19875,negated_conjecture,
    ( hskp6
    | c3_1(a31)
    | ~ hskp13
    | ~ c2_1(a31)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[19870,66,theory(equality)]) ).

cnf(20085,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ hskp11
    | ~ c2_1(a31) ),
    inference(csr,[status(thm)],[19615,64]) ).

cnf(20512,negated_conjecture,
    ( hskp6
    | c3_1(a99)
    | ~ hskp26
    | ~ c2_1(a99) ),
    inference(spm,[status(thm)],[2570,34,theory(equality)]) ).

cnf(20550,negated_conjecture,
    ( hskp6
    | c3_1(a99)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[20512,33]) ).

cnf(20551,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2060,20550,theory(equality)]) ).

cnf(20552,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2065,20550,theory(equality)]) ).

cnf(20554,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2179,20550,theory(equality)]) ).

cnf(20562,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp6
    | hskp14 ),
    inference(spm,[status(thm)],[20551,15,theory(equality)]) ).

cnf(20579,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp3
    | hskp29
    | hskp14 ),
    inference(spm,[status(thm)],[20552,15,theory(equality)]) ).

cnf(20584,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp6
    | hskp29
    | hskp14 ),
    inference(spm,[status(thm)],[20554,15,theory(equality)]) ).

cnf(20587,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp17
    | hskp6 ),
    inference(csr,[status(thm)],[20584,2137]) ).

cnf(20644,negated_conjecture,
    ( hskp6
    | c3_1(a35)
    | ~ hskp29
    | ~ c2_1(a35) ),
    inference(spm,[status(thm)],[2572,21,theory(equality)]) ).

cnf(20686,negated_conjecture,
    ( hskp6
    | c3_1(a35)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[20644,20]) ).

cnf(20687,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1751,20686,theory(equality)]) ).

cnf(20688,negated_conjecture,
    ( hskp30
    | hskp3
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1964,20686,theory(equality)]) ).

cnf(20689,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[2104,20686,theory(equality)]) ).

cnf(20696,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[13515,20686,theory(equality)]) ).

cnf(20729,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[17826,20696,theory(equality)]) ).

cnf(20735,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[20729,3947,theory(equality)]) ).

cnf(20766,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[20735,6380,theory(equality)]) ).

cnf(20768,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[20735,9093,theory(equality)]) ).

cnf(20838,negated_conjecture,
    ( hskp27
    | hskp16
    | hskp6
    | hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[20687,7995,theory(equality)]) ).

cnf(20869,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp3
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[8756,20688,theory(equality)]) ).

cnf(20910,negated_conjecture,
    ( hskp24
    | hskp6
    | hskp3
    | hskp14 ),
    inference(spm,[status(thm)],[20689,20579,theory(equality)]) ).

cnf(20967,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6
    | hskp14 ),
    inference(spm,[status(thm)],[16574,20910,theory(equality)]) ).

cnf(20978,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp24
    | hskp14 ),
    inference(spm,[status(thm)],[20735,20910,theory(equality)]) ).

cnf(20980,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp6 ),
    inference(csr,[status(thm)],[20967,16616]) ).

cnf(20983,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp16
    | hskp6 ),
    inference(spm,[status(thm)],[16613,20980,theory(equality)]) ).

cnf(20984,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | hskp6
    | ~ hskp0 ),
    inference(spm,[status(thm)],[16615,20980,theory(equality)]) ).

cnf(21046,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp24 ),
    inference(csr,[status(thm)],[20766,19602]) ).

cnf(21086,negated_conjecture,
    ( hskp9
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[20768,19602]) ).

cnf(21106,negated_conjecture,
    ( hskp9
    | hskp6
    | hskp24 ),
    inference(spm,[status(thm)],[21086,20978,theory(equality)]) ).

cnf(21107,negated_conjecture,
    ( hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[21106,21046]) ).

cnf(21109,negated_conjecture,
    ( hskp9
    | hskp1 ),
    inference(spm,[status(thm)],[19179,21107,theory(equality)]) ).

cnf(21282,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp17
    | hskp16 ),
    inference(csr,[status(thm)],[20983,17404]) ).

cnf(21436,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[20869,4447]) ).

cnf(21463,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp6
    | hskp21
    | hskp17 ),
    inference(spm,[status(thm)],[21436,20587,theory(equality)]) ).

cnf(21471,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[21463,13]) ).

cnf(21472,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[21471,4534]) ).

cnf(21499,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp0 ),
    inference(csr,[status(thm)],[20984,17406]) ).

cnf(21593,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | ~ hskp12
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[19672,21107]) ).

cnf(21594,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | hskp17
    | hskp14
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[21593,2396,theory(equality)]) ).

cnf(21595,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | hskp16
    | hskp14
    | ~ hskp12
    | ~ hskp9 ),
    inference(spm,[status(thm)],[21593,2486,theory(equality)]) ).

cnf(21779,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | ~ hskp13
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[19874,21107]) ).

cnf(21782,negated_conjecture,
    ( hskp6
    | c3_1(a16)
    | hskp24
    | ~ hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[21779,4500,theory(equality)]) ).

cnf(21796,negated_conjecture,
    ( hskp24
    | hskp6
    | c3_1(a16)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[21782,21107]) ).

cnf(21797,negated_conjecture,
    ( hskp24
    | hskp6
    | c3_1(a16) ),
    inference(csr,[status(thm)],[21796,21472]) ).

cnf(21798,negated_conjecture,
    ( hskp24
    | hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[100,21797,theory(equality)]) ).

cnf(21803,negated_conjecture,
    ( hskp24
    | hskp6 ),
    inference(csr,[status(thm)],[21798,21107]) ).

cnf(21806,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp0
    | hskp6
    | ~ hskp9 ),
    inference(spm,[status(thm)],[16984,21803,theory(equality)]) ).

cnf(21828,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ hskp13
    | ~ c2_1(a31) ),
    inference(csr,[status(thm)],[19875,64]) ).

cnf(21958,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp0
    | ~ hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[17467,18205]) ).

cnf(22409,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp29
    | ~ c2_1(a35)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2635,21]) ).

cnf(22410,negated_conjecture,
    ( hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp29
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[22409,20]) ).

cnf(22413,negated_conjecture,
    ( hskp6
    | c2_1(a14)
    | ~ hskp7
    | ~ hskp29
    | ~ c1_1(a14) ),
    inference(spm,[status(thm)],[109,22410,theory(equality)]) ).

cnf(22514,negated_conjecture,
    ( hskp6
    | c2_1(a14)
    | ~ hskp29
    | ~ hskp7 ),
    inference(csr,[status(thm)],[22413,110]) ).

cnf(22515,negated_conjecture,
    ( hskp6
    | c2_1(a14)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[22514,20696]) ).

cnf(22516,negated_conjecture,
    ( hskp6
    | ~ hskp7
    | ~ hskp29 ),
    inference(spm,[status(thm)],[108,22515,theory(equality)]) ).

cnf(22520,negated_conjecture,
    ( hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[22516,20696]) ).

cnf(22545,negated_conjecture,
    ( hskp6
    | hskp19
    | hskp14 ),
    inference(spm,[status(thm)],[22520,20562,theory(equality)]) ).

cnf(22546,negated_conjecture,
    ( hskp6
    | hskp21
    | hskp17 ),
    inference(spm,[status(thm)],[22520,20587,theory(equality)]) ).

cnf(22754,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp16
    | hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[17968,18489]) ).

cnf(22762,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp16
    | hskp9
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[22754,11662,theory(equality)]) ).

cnf(22775,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp16
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[22762,15837]) ).

cnf(22776,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[22775,2870]) ).

cnf(22777,negated_conjecture,
    ( hskp24
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[22776,19347]) ).

cnf(23148,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp9
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[18569,21107]) ).

cnf(23149,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[23148,18205]) ).

cnf(23443,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp17
    | hskp9
    | ~ hskp13 ),
    inference(csr,[status(thm)],[18897,19280]) ).

cnf(23444,negated_conjecture,
    ( hskp24
    | hskp20
    | hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[23443,22777]) ).

cnf(23519,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp9
    | ~ hskp20 ),
    inference(csr,[status(thm)],[19137,19351]) ).

cnf(23520,negated_conjecture,
    ( hskp24
    | hskp21
    | hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[23519,23444]) ).

cnf(23528,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[19140,23520]) ).

cnf(23529,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[23528,23149]) ).

cnf(23705,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ c3_1(a12)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2720,29]) ).

cnf(23706,negated_conjecture,
    ( hskp4
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp27
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[23705,28]) ).

cnf(23712,negated_conjecture,
    ( hskp4
    | c1_1(a22)
    | ~ hskp14
    | ~ hskp27
    | ~ c3_1(a22) ),
    inference(spm,[status(thm)],[80,23706,theory(equality)]) ).

cnf(23746,negated_conjecture,
    ( hskp15
    | hskp4
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1616,23706,theory(equality)]) ).

cnf(24227,negated_conjecture,
    ( hskp4
    | c1_1(a22)
    | ~ hskp27
    | ~ hskp14 ),
    inference(csr,[status(thm)],[23712,81]) ).

cnf(24231,negated_conjecture,
    ( hskp29
    | hskp19
    | hskp4
    | ~ hskp14
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2000,24227,theory(equality)]) ).

cnf(24323,negated_conjecture,
    ( hskp6
    | hskp19
    | hskp4
    | ~ hskp27
    | ~ hskp14 ),
    inference(spm,[status(thm)],[22520,24231,theory(equality)]) ).

cnf(24376,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[24323,22545]) ).

cnf(24389,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp4
    | hskp16
    | ~ hskp2 ),
    inference(spm,[status(thm)],[24376,20838,theory(equality)]) ).

cnf(24392,negated_conjecture,
    ( hskp19
    | hskp16
    | hskp6
    | hskp4 ),
    inference(csr,[status(thm)],[24389,11]) ).

cnf(24674,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp19
    | ~ hskp27
    | ~ c3_1(a36) ),
    inference(spm,[status(thm)],[60,23746,theory(equality)]) ).

cnf(24806,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[24674,61]) ).

cnf(24811,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp16
    | ~ hskp19
    | ~ hskp3 ),
    inference(spm,[status(thm)],[24806,4771,theory(equality)]) ).

cnf(24813,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp12
    | hskp3
    | ~ hskp19
    | ~ hskp21 ),
    inference(spm,[status(thm)],[24806,5456,theory(equality)]) ).

cnf(24822,negated_conjecture,
    ( hskp15
    | hskp4
    | ~ hskp19
    | ~ hskp3 ),
    inference(csr,[status(thm)],[24811,4905]) ).

cnf(24855,negated_conjecture,
    ( hskp15
    | hskp4
    | hskp16
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[24822,24392,theory(equality)]) ).

cnf(24879,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp4
    | ~ hskp3 ),
    inference(csr,[status(thm)],[24855,4905]) ).

cnf(24981,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp13
    | c2_1(a7)
    | hskp0
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2757,125]) ).

cnf(24982,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp13
    | c2_1(a7)
    | hskp0 ),
    inference(csr,[status(thm)],[24981,11662]) ).

cnf(24983,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp13
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[124,24982,theory(equality)]) ).

cnf(24987,negated_conjecture,
    ( hskp22
    | hskp18
    | hskp13
    | hskp0 ),
    inference(csr,[status(thm)],[24983,11662]) ).

cnf(25165,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[21806,23149]) ).

cnf(25166,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp16
    | hskp6 ),
    inference(csr,[status(thm)],[25165,19602]) ).

cnf(25168,negated_conjecture,
    ( hskp20
    | hskp21
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16761,25166,theory(equality)]) ).

cnf(25169,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp6 ),
    inference(csr,[status(thm)],[25168,18205]) ).

cnf(25171,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[21958,25169,theory(equality)]) ).

cnf(25172,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp0 ),
    inference(csr,[status(thm)],[25171,23149]) ).

cnf(25225,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(a21)
    | c1_1(X1)
    | ~ hskp13
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2770,85]) ).

cnf(25230,negated_conjecture,
    ( hskp18
    | c3_1(a21)
    | c1_1(a21)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[25225,86,theory(equality)]) ).

cnf(25275,negated_conjecture,
    ( hskp18
    | c1_1(a21)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[25230,84]) ).

cnf(25343,negated_conjecture,
    ( hskp6
    | c3_1(a21)
    | hskp18
    | ~ hskp13
    | ~ c2_1(a21) ),
    inference(spm,[status(thm)],[19870,25275,theory(equality)]) ).

cnf(25455,negated_conjecture,
    ( hskp18
    | hskp6
    | c3_1(a21)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[25343,85]) ).

cnf(25456,negated_conjecture,
    ( hskp18
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[25455,84]) ).

cnf(25457,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3317,25456,theory(equality)]) ).

cnf(25501,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(a42)
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2773,49]) ).

cnf(25502,negated_conjecture,
    ( hskp18
    | c3_1(X1)
    | c1_1(X1)
    | ~ hskp22
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[25501,48]) ).

cnf(25510,negated_conjecture,
    ( hskp18
    | c3_1(a42)
    | c1_1(a42)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[25502,50,theory(equality)]) ).

cnf(25545,negated_conjecture,
    ( hskp18
    | c3_1(a42)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[25510,48]) ).

cnf(25547,negated_conjecture,
    ( hskp23
    | hskp18
    | ~ hskp22 ),
    inference(spm,[status(thm)],[2305,25545,theory(equality)]) ).

cnf(25553,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16805,25545,theory(equality)]) ).

cnf(25555,negated_conjecture,
    ( hskp18
    | hskp13
    | ~ hskp22 ),
    inference(spm,[status(thm)],[3812,25547,theory(equality)]) ).

cnf(25573,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp20
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[25555,8637,theory(equality)]) ).

cnf(25595,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[25555,24987,theory(equality)]) ).

cnf(25598,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[3317,25595,theory(equality)]) ).

cnf(25680,negated_conjecture,
    ( hskp20
    | hskp18
    | ~ hskp22 ),
    inference(csr,[status(thm)],[25553,25555]) ).

cnf(25694,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[25680,8637,theory(equality)]) ).

cnf(25732,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp20
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[3317,25694,theory(equality)]) ).

cnf(25756,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp13
    | hskp0 ),
    inference(csr,[status(thm)],[25573,25595]) ).

cnf(25757,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp13 ),
    inference(csr,[status(thm)],[25756,15837]) ).

cnf(25882,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp3 ),
    inference(csr,[status(thm)],[25732,21499]) ).

cnf(25887,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | hskp0
    | ~ hskp14 ),
    inference(spm,[status(thm)],[25882,9093,theory(equality)]) ).

cnf(25932,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp14 ),
    inference(csr,[status(thm)],[25887,21499]) ).

cnf(25933,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16
    | ~ hskp21 ),
    inference(spm,[status(thm)],[25932,2433,theory(equality)]) ).

cnf(25951,negated_conjecture,
    ( hskp20
    | hskp17
    | hskp16 ),
    inference(csr,[status(thm)],[25933,21282]) ).

cnf(26814,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | ~ hskp21
    | ~ hskp19 ),
    inference(csr,[status(thm)],[24813,24822]) ).

cnf(26825,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | hskp25
    | hskp5
    | ~ hskp21 ),
    inference(spm,[status(thm)],[26814,8226,theory(equality)]) ).

cnf(27033,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c3_1(a16)
    | c2_1(X1)
    | ~ hskp9
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2844,101]) ).

cnf(27034,negated_conjecture,
    ( hskp12
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp9
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[27033,100]) ).

cnf(27037,negated_conjecture,
    ( hskp12
    | c2_1(a14)
    | ~ hskp7
    | ~ hskp9
    | ~ c3_1(a14) ),
    inference(spm,[status(thm)],[109,27034,theory(equality)]) ).

cnf(27038,negated_conjecture,
    ( hskp12
    | c2_1(a18)
    | ~ hskp10
    | ~ hskp9
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[97,27034,theory(equality)]) ).

cnf(27041,negated_conjecture,
    ( hskp12
    | c2_1(a24)
    | ~ hskp15
    | ~ hskp9
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[78,27034,theory(equality)]) ).

cnf(27042,negated_conjecture,
    ( hskp12
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp9
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,27034,theory(equality)]) ).

cnf(27044,negated_conjecture,
    ( hskp12
    | c2_1(a37)
    | ~ hskp20
    | ~ hskp9
    | ~ c3_1(a37) ),
    inference(spm,[status(thm)],[56,27034,theory(equality)]) ).

cnf(27139,negated_conjecture,
    ( hskp12
    | ~ hskp9
    | ~ hskp7
    | ~ c3_1(a14) ),
    inference(csr,[status(thm)],[27037,108]) ).

cnf(27140,negated_conjecture,
    ( hskp12
    | hskp17
    | hskp16
    | ~ hskp9
    | ~ hskp7 ),
    inference(spm,[status(thm)],[27139,3213,theory(equality)]) ).

cnf(27173,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp12
    | hskp22
    | ~ hskp9
    | ~ hskp27 ),
    inference(spm,[status(thm)],[27140,13319,theory(equality)]) ).

cnf(27303,negated_conjecture,
    ( hskp12
    | c2_1(a18)
    | ~ hskp10
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27038,98]) ).

cnf(27465,negated_conjecture,
    ( hskp12
    | ~ hskp15
    | ~ hskp9
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[27041,76]) ).

cnf(27743,negated_conjecture,
    ( hskp12
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27042,70]) ).

cnf(27744,negated_conjecture,
    ( hskp12
    | ~ hskp17
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27743,68]) ).

cnf(27748,negated_conjecture,
    ( hskp12
    | c2_1(a37)
    | ~ hskp20
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27044,57]) ).

cnf(27750,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp12
    | ~ hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2177,27748,theory(equality)]) ).

cnf(27755,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp27
    | ~ hskp20
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12375,27748,theory(equality)]) ).

cnf(27763,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27750,17218]) ).

cnf(27764,negated_conjecture,
    ( hskp21
    | hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27763,27744]) ).

cnf(27776,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp27
    | ~ hskp20 ),
    inference(csr,[status(thm)],[27755,17900]) ).

cnf(27777,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp20 ),
    inference(csr,[status(thm)],[27776,14493]) ).

cnf(27785,negated_conjecture,
    ( hskp12
    | hskp18
    | hskp13
    | ~ hskp20
    | ~ hskp21 ),
    inference(spm,[status(thm)],[27777,5914,theory(equality)]) ).

cnf(27812,negated_conjecture,
    ( hskp18
    | hskp13
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[27785,25757]) ).

cnf(27813,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp13
    | hskp12
    | ~ hskp21 ),
    inference(spm,[status(thm)],[3317,27812,theory(equality)]) ).

cnf(27857,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp13
    | hskp12 ),
    inference(csr,[status(thm)],[27813,6871]) ).

cnf(28028,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(a7)
    | c2_1(X1)
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2895,125]) ).

cnf(28029,negated_conjecture,
    ( hskp11
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[28028,124]) ).

cnf(28036,negated_conjecture,
    ( hskp11
    | c2_1(a24)
    | ~ hskp15
    | ~ hskp3
    | ~ c3_1(a24) ),
    inference(spm,[status(thm)],[78,28029,theory(equality)]) ).

cnf(28037,negated_conjecture,
    ( hskp11
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp3
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,28029,theory(equality)]) ).

cnf(28295,negated_conjecture,
    ( hskp11
    | ~ hskp15
    | ~ hskp3
    | ~ c3_1(a24) ),
    inference(csr,[status(thm)],[28036,76]) ).

cnf(28298,negated_conjecture,
    ( hskp11
    | hskp2
    | hskp1
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[28295,7210,theory(equality)]) ).

cnf(28351,negated_conjecture,
    ( hskp11
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28037,70]) ).

cnf(28352,negated_conjecture,
    ( hskp11
    | ~ hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28351,68]) ).

cnf(28358,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | ~ hskp9
    | ~ hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19771,28352,theory(equality)]) ).

cnf(28906,negated_conjecture,
    ( hskp25
    | hskp15
    | hskp12
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[26825,14142]) ).

cnf(28907,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp4
    | ~ hskp21 ),
    inference(csr,[status(thm)],[28906,14501]) ).

cnf(28989,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp12
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[27173,14003]) ).

cnf(28990,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[28989,27744]) ).

cnf(28996,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp22
    | ~ hskp9
    | ~ hskp21 ),
    inference(spm,[status(thm)],[28990,5410,theory(equality)]) ).

cnf(29008,negated_conjecture,
    ( hskp22
    | hskp16
    | hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[28996,27764]) ).

cnf(29014,negated_conjecture,
    ( hskp20
    | hskp12
    | hskp16
    | ~ hskp13
    | ~ hskp9 ),
    inference(spm,[status(thm)],[17179,29008,theory(equality)]) ).

cnf(29034,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp12
    | ~ hskp13 ),
    inference(csr,[status(thm)],[29014,19477]) ).

cnf(29035,negated_conjecture,
    ( hskp20
    | hskp12
    | ~ hskp13 ),
    inference(csr,[status(thm)],[29034,16761]) ).

cnf(29785,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | ~ hskp17
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28358,21107]) ).

cnf(29789,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | hskp0
    | ~ hskp17
    | ~ hskp24 ),
    inference(spm,[status(thm)],[29785,6380,theory(equality)]) ).

cnf(30204,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[29789,21803]) ).

cnf(30205,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30204,19602]) ).

cnf(30399,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | c3_1(a16)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[21594,21107]) ).

cnf(30400,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[100,30399,theory(equality)]) ).

cnf(30405,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[30400,21107]) ).

cnf(30406,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | hskp21
    | hskp20 ),
    inference(spm,[status(thm)],[30405,17218,theory(equality)]) ).

cnf(30431,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(a27) ),
    inference(csr,[status(thm)],[2979,72]) ).

cnf(30525,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[30406,22546]) ).

cnf(30526,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[30525,2433]) ).

cnf(30590,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | c3_1(a16)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[21595,21107]) ).

cnf(30591,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | ~ hskp9
    | ~ hskp12 ),
    inference(spm,[status(thm)],[100,30590,theory(equality)]) ).

cnf(30596,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | ~ hskp12 ),
    inference(csr,[status(thm)],[30591,21107]) ).

cnf(30611,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6
    | hskp17
    | hskp13 ),
    inference(spm,[status(thm)],[30596,27857,theory(equality)]) ).

cnf(30632,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(a36)
    | ~ hskp19
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[2981,62]) ).

cnf(30633,negated_conjecture,
    ( hskp10
    | c0_1(X1)
    | c2_1(X1)
    | ~ hskp19
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[30632,60]) ).

cnf(30641,negated_conjecture,
    ( hskp10
    | c2_1(a28)
    | ~ hskp17
    | ~ hskp19
    | ~ c3_1(a28) ),
    inference(spm,[status(thm)],[69,30633,theory(equality)]) ).

cnf(30743,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[30611,25457]) ).

cnf(30744,negated_conjecture,
    ( hskp16
    | hskp14
    | hskp6 ),
    inference(csr,[status(thm)],[30743,30205]) ).

cnf(30962,negated_conjecture,
    ( hskp10
    | c2_1(a28)
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30641,70]) ).

cnf(30963,negated_conjecture,
    ( hskp10
    | ~ hskp19
    | ~ hskp17 ),
    inference(csr,[status(thm)],[30962,68]) ).

cnf(32992,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp30
    | ~ hskp27
    | ~ c3_1(a54) ),
    inference(csr,[status(thm)],[14637,17]) ).

cnf(32993,negated_conjecture,
    ( hskp25
    | hskp12
    | ~ hskp30
    | ~ hskp27 ),
    inference(csr,[status(thm)],[32992,16]) ).

cnf(32994,negated_conjecture,
    ( hskp12
    | ~ hskp30
    | ~ hskp27 ),
    inference(csr,[status(thm)],[32993,14493]) ).

cnf(32998,negated_conjecture,
    ( hskp12
    | hskp22
    | hskp20
    | ~ hskp27
    | ~ hskp16 ),
    inference(spm,[status(thm)],[32994,3330,theory(equality)]) ).

cnf(33075,negated_conjecture,
    ( hskp22
    | hskp12
    | ~ hskp27
    | ~ hskp16 ),
    inference(csr,[status(thm)],[32998,27777]) ).

cnf(33076,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | ~ hskp16 ),
    inference(csr,[status(thm)],[33075,14003]) ).

cnf(33142,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c2_1(a3)
    | c1_1(X1)
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3060,129]) ).

cnf(33143,negated_conjecture,
    ( c0_1(X1)
    | hskp1
    | c1_1(X1)
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[33142,128]) ).

cnf(33145,negated_conjecture,
    ( hskp1
    | c1_1(a13)
    | ~ hskp6
    | ~ hskp2
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[114,33143,theory(equality)]) ).

cnf(33147,negated_conjecture,
    ( hskp1
    | c1_1(a18)
    | ~ hskp10
    | ~ hskp2
    | ~ c2_1(a18) ),
    inference(spm,[status(thm)],[97,33143,theory(equality)]) ).

cnf(33148,negated_conjecture,
    ( hskp1
    | c1_1(a19)
    | ~ hskp11
    | ~ hskp2
    | ~ c2_1(a19) ),
    inference(spm,[status(thm)],[93,33143,theory(equality)]) ).

cnf(33154,negated_conjecture,
    ( hskp1
    | c1_1(a58)
    | ~ hskp24
    | ~ hskp2
    | ~ c2_1(a58) ),
    inference(spm,[status(thm)],[41,33143,theory(equality)]) ).

cnf(33241,negated_conjecture,
    ( hskp1
    | c1_1(a13)
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[33145,7043]) ).

cnf(33242,negated_conjecture,
    ( hskp1
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[33241,113]) ).

cnf(33243,negated_conjecture,
    ( hskp1
    | hskp21
    | hskp20
    | ~ hskp6 ),
    inference(spm,[status(thm)],[33242,6504,theory(equality)]) ).

cnf(33255,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp1 ),
    inference(csr,[status(thm)],[33243,25169]) ).

cnf(33546,negated_conjecture,
    ( hskp1
    | ~ hskp10
    | ~ hskp2
    | ~ c2_1(a18) ),
    inference(csr,[status(thm)],[33147,96]) ).

cnf(33563,negated_conjecture,
    ( hskp1
    | hskp12
    | ~ hskp10
    | ~ hskp2
    | ~ hskp9 ),
    inference(spm,[status(thm)],[33546,27303,theory(equality)]) ).

cnf(33812,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33563,21109]) ).

cnf(33844,negated_conjecture,
    ( hskp12
    | hskp1
    | ~ hskp2
    | ~ hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[33812,30963,theory(equality)]) ).

cnf(34069,negated_conjecture,
    ( hskp1
    | c1_1(a19)
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33148,94]) ).

cnf(34070,negated_conjecture,
    ( hskp1
    | c1_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34069,7092]) ).

cnf(34133,negated_conjecture,
    ( hskp6
    | c3_1(a19)
    | hskp1
    | ~ hskp11
    | ~ c2_1(a19) ),
    inference(spm,[status(thm)],[19610,34070,theory(equality)]) ).

cnf(34568,negated_conjecture,
    ( hskp1
    | c1_1(a58)
    | ~ hskp24
    | ~ hskp2 ),
    inference(csr,[status(thm)],[33154,42]) ).

cnf(34569,negated_conjecture,
    ( hskp1
    | ~ hskp24
    | ~ hskp2 ),
    inference(csr,[status(thm)],[34568,40]) ).

cnf(34576,negated_conjecture,
    ( hskp1
    | hskp20
    | hskp16
    | ~ hskp2
    | ~ hskp28
    | ~ hskp0 ),
    inference(spm,[status(thm)],[34569,16609,theory(equality)]) ).

cnf(34583,negated_conjecture,
    ( hskp1
    | hskp6
    | ~ hskp2 ),
    inference(spm,[status(thm)],[34569,21803,theory(equality)]) ).

cnf(34786,negated_conjecture,
    ( hskp6
    | hskp1
    | c3_1(a19)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34133,94]) ).

cnf(34787,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp11 ),
    inference(csr,[status(thm)],[34786,92]) ).

cnf(34832,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp2
    | ~ hskp15
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34787,28298,theory(equality)]) ).

cnf(34834,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp17
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34787,28352,theory(equality)]) ).

cnf(34888,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp0
    | ~ hskp17
    | ~ hskp24 ),
    inference(spm,[status(thm)],[34834,6380,theory(equality)]) ).

cnf(34910,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp15
    | ~ hskp3 ),
    inference(csr,[status(thm)],[34832,34583]) ).

cnf(34918,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp17
    | hskp14
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34910,4777,theory(equality)]) ).

cnf(34961,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp4
    | ~ hskp3 ),
    inference(spm,[status(thm)],[34910,24879,theory(equality)]) ).

cnf(35079,negated_conjecture,
    ( hskp6
    | hskp4
    | hskp1
    | hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[34961,6380,theory(equality)]) ).

cnf(35152,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp0
    | ~ hskp17 ),
    inference(csr,[status(thm)],[34888,21803]) ).

cnf(35153,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[35152,19602]) ).

cnf(35163,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp21 ),
    inference(spm,[status(thm)],[35153,22546,theory(equality)]) ).

cnf(35166,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp16
    | ~ hskp13 ),
    inference(spm,[status(thm)],[35153,25457,theory(equality)]) ).

cnf(35167,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp16
    | hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[35153,25598,theory(equality)]) ).

cnf(35168,negated_conjecture,
    ( hskp6
    | hskp1
    | hskp20
    | hskp16 ),
    inference(spm,[status(thm)],[35153,25951,theory(equality)]) ).

cnf(35172,negated_conjecture,
    ( hskp1
    | hskp0
    | hskp21 ),
    inference(spm,[status(thm)],[7352,35163,theory(equality)]) ).

cnf(35275,negated_conjecture,
    ( hskp20
    | hskp6
    | hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16761,35168,theory(equality)]) ).

cnf(35280,negated_conjecture,
    ( hskp1
    | hskp0
    | hskp20
    | ~ hskp13 ),
    inference(spm,[status(thm)],[7352,35275,theory(equality)]) ).

cnf(35294,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[35167,19602]) ).

cnf(35295,negated_conjecture,
    ( hskp16
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[35294,35166]) ).

cnf(35414,negated_conjecture,
    ( hskp6
    | hskp4
    | hskp1
    | hskp0 ),
    inference(csr,[status(thm)],[35079,21803]) ).

cnf(35415,negated_conjecture,
    ( hskp6
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[35414,19602]) ).

cnf(36806,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp1
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[34576,8]) ).

cnf(36807,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[36806,17409]) ).

cnf(36809,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp13
    | ~ hskp0 ),
    inference(spm,[status(thm)],[16761,36807,theory(equality)]) ).

cnf(36811,negated_conjecture,
    ( hskp20
    | hskp1
    | ~ hskp13 ),
    inference(csr,[status(thm)],[36809,35280]) ).

cnf(37389,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | hskp4
    | hskp1 ),
    inference(csr,[status(thm)],[34918,35415]) ).

cnf(37390,negated_conjecture,
    ( hskp17
    | hskp14
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[37389,30526]) ).

cnf(37391,negated_conjecture,
    ( hskp14
    | hskp6
    | hskp1 ),
    inference(csr,[status(thm)],[37390,35153]) ).

cnf(37600,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(a38)
    | c2_1(X1)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[3141,53]) ).

cnf(37601,negated_conjecture,
    ( hskp27
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[37600,52]) ).

cnf(37602,negated_conjecture,
    ( hskp27
    | c3_1(a2)
    | c2_1(a2)
    | ~ hskp1
    | ~ hskp21 ),
    inference(spm,[status(thm)],[134,37601,theory(equality)]) ).

cnf(37603,negated_conjecture,
    ( hskp27
    | c3_1(a13)
    | c2_1(a13)
    | ~ hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[114,37601,theory(equality)]) ).

cnf(37604,negated_conjecture,
    ( hskp27
    | c3_1(a14)
    | c2_1(a14)
    | ~ hskp7
    | ~ hskp21 ),
    inference(spm,[status(thm)],[109,37601,theory(equality)]) ).

cnf(37608,negated_conjecture,
    ( hskp27
    | c3_1(a24)
    | c2_1(a24)
    | ~ hskp15
    | ~ hskp21 ),
    inference(spm,[status(thm)],[78,37601,theory(equality)]) ).

cnf(37610,negated_conjecture,
    ( hskp27
    | c3_1(a31)
    | c2_1(a31)
    | ~ hskp18
    | ~ hskp21 ),
    inference(spm,[status(thm)],[65,37601,theory(equality)]) ).

cnf(37714,negated_conjecture,
    ( hskp27
    | c3_1(a2)
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[37602,133]) ).

cnf(37715,negated_conjecture,
    ( hskp27
    | ~ hskp21
    | ~ hskp1 ),
    inference(csr,[status(thm)],[37714,132]) ).

cnf(37739,negated_conjecture,
    ( hskp9
    | ~ hskp3
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17881,37715,theory(equality)]) ).

cnf(37740,negated_conjecture,
    ( hskp24
    | hskp9
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17882,37715,theory(equality)]) ).

cnf(37742,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp20
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17877,37715,theory(equality)]) ).

cnf(37747,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[18411,37715,theory(equality)]) ).

cnf(37867,negated_conjecture,
    ( hskp9
    | ~ hskp21
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37739,21109]) ).

cnf(37871,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp21
    | ~ hskp24 ),
    inference(spm,[status(thm)],[37867,6380,theory(equality)]) ).

cnf(37878,negated_conjecture,
    ( hskp24
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[37740,21109]) ).

cnf(37891,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[37747,21109]) ).

cnf(37898,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[37871,37878]) ).

cnf(37900,negated_conjecture,
    ( hskp20
    | hskp9
    | ~ hskp21 ),
    inference(spm,[status(thm)],[16765,37898,theory(equality)]) ).

cnf(38034,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp21
    | ~ hskp20 ),
    inference(csr,[status(thm)],[37742,21109]) ).

cnf(38035,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[38034,37900]) ).

cnf(38041,negated_conjecture,
    ( hskp12
    | hskp1
    | hskp9
    | ~ hskp17
    | ~ hskp2
    | ~ hskp21 ),
    inference(spm,[status(thm)],[33844,38035,theory(equality)]) ).

cnf(38539,negated_conjecture,
    ( hskp27
    | c2_1(a13)
    | ~ hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[37603,112]) ).

cnf(38547,negated_conjecture,
    ( hskp1
    | hskp27
    | ~ hskp6
    | ~ hskp21 ),
    inference(spm,[status(thm)],[33242,38539,theory(equality)]) ).

cnf(38548,negated_conjecture,
    ( hskp27
    | ~ hskp21
    | ~ hskp6 ),
    inference(csr,[status(thm)],[38547,37715]) ).

cnf(38553,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp21
    | ~ hskp6 ),
    inference(spm,[status(thm)],[5206,38548,theory(equality)]) ).

cnf(38727,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[38553,21803]) ).

cnf(38728,negated_conjecture,
    ( hskp3
    | hskp0
    | ~ hskp21 ),
    inference(csr,[status(thm)],[38727,6380]) ).

cnf(38733,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[16560,38728,theory(equality)]) ).

cnf(39198,negated_conjecture,
    ( hskp20
    | hskp16
    | hskp14
    | hskp0 ),
    inference(csr,[status(thm)],[38733,25172]) ).

cnf(39296,negated_conjecture,
    ( hskp27
    | c3_1(a14)
    | ~ hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[37604,108]) ).

cnf(39305,negated_conjecture,
    ( hskp9
    | hskp27
    | ~ hskp7
    | ~ hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[19196,39296,theory(equality)]) ).

cnf(39528,negated_conjecture,
    ( hskp27
    | hskp9
    | ~ hskp21
    | ~ hskp7 ),
    inference(csr,[status(thm)],[39305,37898]) ).

cnf(39531,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp28
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[39528,4569,theory(equality)]) ).

cnf(39745,negated_conjecture,
    ( hskp12
    | hskp28
    | hskp9
    | ~ hskp22
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[14003,39531,theory(equality)]) ).

cnf(39761,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp28
    | ~ hskp5
    | ~ hskp21
    | ~ hskp17 ),
    inference(spm,[status(thm)],[18399,39531,theory(equality)]) ).

cnf(39956,negated_conjecture,
    ( hskp27
    | c3_1(a24)
    | ~ hskp21
    | ~ hskp15 ),
    inference(csr,[status(thm)],[37608,76]) ).

cnf(39967,negated_conjecture,
    ( hskp12
    | hskp27
    | ~ hskp15
    | ~ hskp9
    | ~ hskp21 ),
    inference(spm,[status(thm)],[27465,39956,theory(equality)]) ).

cnf(40248,negated_conjecture,
    ( hskp27
    | hskp12
    | ~ hskp15
    | ~ hskp9 ),
    inference(csr,[status(thm)],[39967,27764]) ).

cnf(40311,negated_conjecture,
    ( hskp16
    | hskp12
    | ~ hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[28990,40248,theory(equality)]) ).

cnf(40321,negated_conjecture,
    ( hskp12
    | ~ hskp16
    | ~ hskp15
    | ~ hskp9 ),
    inference(spm,[status(thm)],[33076,40248,theory(equality)]) ).

cnf(40624,negated_conjecture,
    ( hskp12
    | ~ hskp15
    | ~ hskp9 ),
    inference(csr,[status(thm)],[40321,40311]) ).

cnf(41340,negated_conjecture,
    ( hskp27
    | c2_1(a31)
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[37610,64]) ).

cnf(41344,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp27
    | ~ hskp18
    | ~ hskp21 ),
    inference(spm,[status(thm)],[4386,41340,theory(equality)]) ).

cnf(41345,negated_conjecture,
    ( hskp6
    | hskp27
    | ~ hskp18
    | ~ hskp11
    | ~ hskp21 ),
    inference(spm,[status(thm)],[20085,41340,theory(equality)]) ).

cnf(41347,negated_conjecture,
    ( hskp6
    | hskp27
    | ~ hskp18
    | ~ hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[21828,41340,theory(equality)]) ).

cnf(41355,negated_conjecture,
    ( hskp27
    | ~ hskp21
    | ~ hskp18
    | ~ hskp11 ),
    inference(csr,[status(thm)],[41345,38548]) ).

cnf(41410,negated_conjecture,
    ( hskp27
    | hskp15
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[41355,41344,theory(equality)]) ).

cnf(41431,negated_conjecture,
    ( hskp12
    | hskp15
    | ~ hskp22
    | ~ hskp21
    | ~ hskp18 ),
    inference(spm,[status(thm)],[14003,41410,theory(equality)]) ).

cnf(41575,negated_conjecture,
    ( hskp27
    | hskp6
    | ~ hskp21
    | ~ hskp13 ),
    inference(csr,[status(thm)],[41347,25456]) ).

cnf(41576,negated_conjecture,
    ( hskp27
    | ~ hskp21
    | ~ hskp13 ),
    inference(csr,[status(thm)],[41575,38548]) ).

cnf(41638,negated_conjecture,
    ( hskp12
    | ~ hskp20
    | ~ hskp21
    | ~ hskp13 ),
    inference(spm,[status(thm)],[27777,41576,theory(equality)]) ).

cnf(41815,negated_conjecture,
    ( hskp12
    | ~ hskp21
    | ~ hskp13 ),
    inference(csr,[status(thm)],[41638,29035]) ).

cnf(42256,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp21
    | ~ hskp18
    | ~ hskp4 ),
    inference(spm,[status(thm)],[41431,5258,theory(equality)]) ).

cnf(43542,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp21
    | ~ hskp18 ),
    inference(csr,[status(thm)],[42256,28907]) ).

cnf(43579,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[43542,27812,theory(equality)]) ).

cnf(43676,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[43579,41815]) ).

cnf(43684,negated_conjecture,
    ( hskp12
    | ~ hskp9
    | ~ hskp21 ),
    inference(spm,[status(thm)],[40624,43676,theory(equality)]) ).

cnf(43686,negated_conjecture,
    ( hskp12
    | ~ hskp9 ),
    inference(csr,[status(thm)],[43684,27764]) ).

cnf(46612,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | ~ hskp17
    | ~ hskp2 ),
    inference(csr,[status(thm)],[38041,21109]) ).

cnf(46613,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1
    | ~ hskp17 ),
    inference(csr,[status(thm)],[46612,21109]) ).

cnf(46614,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp1 ),
    inference(csr,[status(thm)],[46613,21109]) ).

cnf(46615,negated_conjecture,
    ( hskp12
    | hskp1 ),
    inference(csr,[status(thm)],[46614,43686]) ).

cnf(47659,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(a27)
    | c1_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3379,72]) ).

cnf(47851,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(a28)
    | c1_1(X1)
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3380,68]) ).

cnf(48095,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | ~ hskp22
    | ~ hskp21 ),
    inference(csr,[status(thm)],[39745,37891]) ).

cnf(48096,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[48095,37891]) ).

cnf(48097,negated_conjecture,
    ( hskp28
    | hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[48096,43686]) ).

cnf(48101,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c2_1(a45)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3383,45]) ).

cnf(48102,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(X1)
    | ~ hskp23
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[48101,44]) ).

cnf(48104,negated_conjecture,
    ( hskp2
    | c1_1(a13)
    | ~ hskp6
    | ~ hskp23
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[114,48102,theory(equality)]) ).

cnf(48244,negated_conjecture,
    ( hskp2
    | ~ hskp23
    | ~ hskp6
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[48104,113]) ).

cnf(48299,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | ~ hskp21
    | ~ hskp5 ),
    inference(csr,[status(thm)],[39761,48097]) ).

cnf(48300,negated_conjecture,
    ( hskp28
    | hskp12
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[48299,48097]) ).

cnf(48301,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[48300,37891]) ).

cnf(48302,negated_conjecture,
    ( hskp12
    | ~ hskp21 ),
    inference(csr,[status(thm)],[48301,43686]) ).

cnf(50286,negated_conjecture,
    ( c0_1(a22)
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[3470,82]) ).

cnf(50287,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ hskp14 ),
    inference(csr,[status(thm)],[50286,80]) ).

cnf(50288,negated_conjecture,
    ( c3_1(a2)
    | c2_1(a2)
    | hskp0
    | ~ hskp1
    | ~ hskp14 ),
    inference(spm,[status(thm)],[134,50287,theory(equality)]) ).

cnf(50294,negated_conjecture,
    ( c3_1(a24)
    | c2_1(a24)
    | hskp0
    | ~ hskp15
    | ~ hskp14 ),
    inference(spm,[status(thm)],[78,50287,theory(equality)]) ).

cnf(50296,negated_conjecture,
    ( c3_1(a31)
    | c2_1(a31)
    | hskp0
    | ~ hskp18
    | ~ hskp14 ),
    inference(spm,[status(thm)],[65,50287,theory(equality)]) ).

cnf(50403,negated_conjecture,
    ( c3_1(a2)
    | hskp0
    | ~ hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[50288,133]) ).

cnf(50404,negated_conjecture,
    ( hskp0
    | ~ hskp14
    | ~ hskp1 ),
    inference(csr,[status(thm)],[50403,132]) ).

cnf(50405,negated_conjecture,
    ( hskp0
    | hskp17
    | ~ hskp1
    | ~ hskp21 ),
    inference(spm,[status(thm)],[50404,2433,theory(equality)]) ).

cnf(50407,negated_conjecture,
    ( hskp0
    | hskp13
    | ~ hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[50404,4128,theory(equality)]) ).

cnf(50414,negated_conjecture,
    ( hskp0
    | hskp16
    | hskp6
    | ~ hskp1 ),
    inference(spm,[status(thm)],[50404,30744,theory(equality)]) ).

cnf(50417,negated_conjecture,
    ( hskp0
    | hskp20
    | hskp16
    | ~ hskp1 ),
    inference(spm,[status(thm)],[50404,39198,theory(equality)]) ).

cnf(50434,negated_conjecture,
    ( hskp13
    | hskp0
    | hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[50407,6871,theory(equality)]) ).

cnf(50452,negated_conjecture,
    ( hskp13
    | hskp0
    | ~ hskp1
    | ~ hskp21 ),
    inference(spm,[status(thm)],[50407,50405,theory(equality)]) ).

cnf(50474,negated_conjecture,
    ( hskp16
    | hskp6
    | hskp0 ),
    inference(csr,[status(thm)],[50414,35295]) ).

cnf(50475,negated_conjecture,
    ( hskp16
    | hskp6 ),
    inference(csr,[status(thm)],[50474,19602]) ).

cnf(50486,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp13
    | ~ hskp1 ),
    inference(spm,[status(thm)],[16761,50417,theory(equality)]) ).

cnf(50493,negated_conjecture,
    ( hskp21
    | hskp13
    | hskp0 ),
    inference(csr,[status(thm)],[50434,35172]) ).

cnf(50497,negated_conjecture,
    ( hskp13
    | hskp0
    | ~ hskp1 ),
    inference(csr,[status(thm)],[50452,50493]) ).

cnf(50548,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ hskp20
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[3474,56]) ).

cnf(50658,negated_conjecture,
    ( hskp20
    | hskp0
    | ~ hskp13 ),
    inference(csr,[status(thm)],[50486,36811]) ).

cnf(50660,negated_conjecture,
    ( hskp20
    | ~ hskp21
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16765,50658,theory(equality)]) ).

cnf(50662,negated_conjecture,
    ( hskp20
    | ~ hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[50660,16739,theory(equality)]) ).

cnf(52041,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(a20)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[3532,89]) ).

cnf(52042,negated_conjecture,
    ( hskp5
    | c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp12 ),
    inference(csr,[status(thm)],[52041,88]) ).

cnf(52043,negated_conjecture,
    ( hskp5
    | c3_1(a2)
    | c2_1(a2)
    | ~ hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[134,52042,theory(equality)]) ).

cnf(52044,negated_conjecture,
    ( hskp5
    | c3_1(a13)
    | c2_1(a13)
    | ~ hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[114,52042,theory(equality)]) ).

cnf(52045,negated_conjecture,
    ( hskp5
    | c3_1(a14)
    | c2_1(a14)
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[109,52042,theory(equality)]) ).

cnf(52449,negated_conjecture,
    ( c3_1(a24)
    | hskp0
    | ~ hskp15
    | ~ hskp14 ),
    inference(csr,[status(thm)],[50294,76]) ).

cnf(52460,negated_conjecture,
    ( hskp11
    | hskp0
    | ~ hskp15
    | ~ hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[28295,52449,theory(equality)]) ).

cnf(52618,negated_conjecture,
    ( hskp11
    | hskp0
    | ~ hskp15
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52460,9093]) ).

cnf(52822,negated_conjecture,
    ( c2_1(a31)
    | hskp0
    | ~ hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[50296,64]) ).

cnf(52826,negated_conjecture,
    ( hskp15
    | hskp11
    | hskp0
    | ~ hskp18
    | ~ hskp14 ),
    inference(spm,[status(thm)],[4386,52822,theory(equality)]) ).

cnf(52827,negated_conjecture,
    ( hskp6
    | hskp0
    | ~ hskp18
    | ~ hskp11
    | ~ hskp14 ),
    inference(spm,[status(thm)],[20085,52822,theory(equality)]) ).

cnf(52833,negated_conjecture,
    ( hskp11
    | hskp0
    | ~ hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52826,52618]) ).

cnf(52840,negated_conjecture,
    ( hskp6
    | hskp0
    | ~ hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52827,52833]) ).

cnf(52841,negated_conjecture,
    ( hskp6
    | ~ hskp18
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52840,19602]) ).

cnf(52842,negated_conjecture,
    ( hskp6
    | hskp13
    | ~ hskp14
    | ~ hskp16 ),
    inference(spm,[status(thm)],[52841,3816,theory(equality)]) ).

cnf(52856,negated_conjecture,
    ( hskp6
    | ~ hskp14
    | ~ hskp13 ),
    inference(spm,[status(thm)],[52841,25456,theory(equality)]) ).

cnf(52945,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52842,50475]) ).

cnf(52946,negated_conjecture,
    ( hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[52945,52856]) ).

cnf(52955,negated_conjecture,
    ( hskp6
    | hskp17 ),
    inference(spm,[status(thm)],[52946,30526,theory(equality)]) ).

cnf(52956,negated_conjecture,
    ( hskp6
    | hskp1 ),
    inference(spm,[status(thm)],[52946,37391,theory(equality)]) ).

cnf(52971,negated_conjecture,
    ( hskp1
    | hskp0 ),
    inference(spm,[status(thm)],[7352,52956,theory(equality)]) ).

cnf(52980,negated_conjecture,
    ( hskp13
    | hskp0 ),
    inference(spm,[status(thm)],[50497,52971,theory(equality)]) ).

cnf(52981,negated_conjecture,
    ( hskp20
    | hskp13 ),
    inference(spm,[status(thm)],[15837,52980,theory(equality)]) ).

cnf(52985,negated_conjecture,
    ( hskp20
    | ~ hskp5 ),
    inference(spm,[status(thm)],[50662,52981,theory(equality)]) ).

cnf(53293,negated_conjecture,
    ( hskp5
    | c3_1(a2)
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[52043,133]) ).

cnf(53294,negated_conjecture,
    ( hskp5
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[53293,132]) ).

cnf(53295,negated_conjecture,
    ( hskp5
    | hskp21
    | hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[53294,17218,theory(equality)]) ).

cnf(53309,negated_conjecture,
    ( hskp5
    | ~ hskp1
    | ~ hskp9 ),
    inference(spm,[status(thm)],[53294,43686,theory(equality)]) ).

cnf(53314,negated_conjecture,
    ( hskp5
    | ~ hskp1
    | ~ hskp21 ),
    inference(spm,[status(thm)],[53294,48302,theory(equality)]) ).

cnf(53332,negated_conjecture,
    ( hskp5
    | hskp0
    | ~ hskp21 ),
    inference(spm,[status(thm)],[53314,52971,theory(equality)]) ).

cnf(53342,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp21 ),
    inference(spm,[status(thm)],[16765,53332,theory(equality)]) ).

cnf(53344,negated_conjecture,
    ( hskp20
    | ~ hskp21 ),
    inference(csr,[status(thm)],[53342,52985]) ).

cnf(53345,negated_conjecture,
    ( hskp21
    | hskp20
    | hskp5 ),
    inference(csr,[status(thm)],[53295,33255]) ).

cnf(53346,negated_conjecture,
    ( hskp20
    | hskp5 ),
    inference(csr,[status(thm)],[53345,53344]) ).

cnf(53347,negated_conjecture,
    hskp20,
    inference(csr,[status(thm)],[53346,52985]) ).

cnf(53357,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | $false
    | ~ c2_1(a37) ),
    inference(rw,[status(thm)],[50548,53347,theory(equality)]) ).

cnf(53358,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | hskp0
    | ~ c2_1(a37) ),
    inference(cn,[status(thm)],[53357,theory(equality)]) ).

cnf(53459,negated_conjecture,
    ( hskp12
    | ~ hskp27
    | $false ),
    inference(rw,[status(thm)],[27777,53347,theory(equality)]) ).

cnf(53460,negated_conjecture,
    ( hskp12
    | ~ hskp27 ),
    inference(cn,[status(thm)],[53459,theory(equality)]) ).

cnf(53489,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | $false
    | ~ hskp0 ),
    inference(rw,[status(thm)],[19327,53347,theory(equality)]) ).

cnf(53490,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp0 ),
    inference(cn,[status(thm)],[53489,theory(equality)]) ).

cnf(53493,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | $false
    | ~ hskp0 ),
    inference(rw,[status(thm)],[19325,53347,theory(equality)]) ).

cnf(53494,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp0 ),
    inference(cn,[status(thm)],[53493,theory(equality)]) ).

cnf(53503,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp29
    | $false ),
    inference(rw,[status(thm)],[19090,53347,theory(equality)]) ).

cnf(53504,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | ~ hskp29 ),
    inference(cn,[status(thm)],[53503,theory(equality)]) ).

cnf(53608,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0
    | $false ),
    inference(rw,[status(thm)],[5135,53347,theory(equality)]) ).

cnf(53609,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp0 ),
    inference(cn,[status(thm)],[53608,theory(equality)]) ).

cnf(53612,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp5
    | $false ),
    inference(rw,[status(thm)],[4738,53347,theory(equality)]) ).

cnf(53613,negated_conjecture,
    ( hskp21
    | hskp15
    | hskp5 ),
    inference(cn,[status(thm)],[53612,theory(equality)]) ).

cnf(53618,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp7
    | $false ),
    inference(rw,[status(thm)],[4625,53347,theory(equality)]) ).

cnf(53619,negated_conjecture,
    ( hskp28
    | hskp21
    | hskp7 ),
    inference(cn,[status(thm)],[53618,theory(equality)]) ).

cnf(53638,negated_conjecture,
    ( hskp21
    | hskp17
    | $false
    | ~ c2_1(a37) ),
    inference(rw,[status(thm)],[2177,53347,theory(equality)]) ).

cnf(53639,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ c2_1(a37) ),
    inference(cn,[status(thm)],[53638,theory(equality)]) ).

cnf(53640,negated_conjecture,
    ( hskp24
    | hskp3
    | $false
    | ~ c2_1(a37) ),
    inference(rw,[status(thm)],[2061,53347,theory(equality)]) ).

cnf(53641,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a37) ),
    inference(cn,[status(thm)],[53640,theory(equality)]) ).

cnf(53644,negated_conjecture,
    ( $false
    | ~ c0_1(a37) ),
    inference(rw,[status(thm)],[56,53347,theory(equality)]) ).

cnf(53645,negated_conjecture,
    ~ c0_1(a37),
    inference(cn,[status(thm)],[53644,theory(equality)]) ).

cnf(53646,negated_conjecture,
    ( c3_1(a37)
    | $false ),
    inference(rw,[status(thm)],[57,53347,theory(equality)]) ).

cnf(53647,negated_conjecture,
    c3_1(a37),
    inference(cn,[status(thm)],[53646,theory(equality)]) ).

cnf(53648,negated_conjecture,
    ( c1_1(a37)
    | $false ),
    inference(rw,[status(thm)],[58,53347,theory(equality)]) ).

cnf(53649,negated_conjecture,
    c1_1(a37),
    inference(cn,[status(thm)],[53648,theory(equality)]) ).

cnf(53680,negated_conjecture,
    ( c3_1(a2)
    | c2_1(a2)
    | hskp0
    | ~ hskp1
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[134,53358,theory(equality)]) ).

cnf(53804,negated_conjecture,
    ( hskp10
    | c2_1(a37)
    | ~ hskp16
    | ~ c3_1(a37)
    | ~ c2_1(a27) ),
    inference(spm,[status(thm)],[53645,30431,theory(equality)]) ).

cnf(53880,negated_conjecture,
    ( hskp10
    | c2_1(a37)
    | ~ hskp16
    | $false
    | ~ c2_1(a27) ),
    inference(rw,[status(thm)],[53804,53647,theory(equality)]) ).

cnf(53881,negated_conjecture,
    ( hskp10
    | c2_1(a37)
    | ~ hskp16
    | ~ c2_1(a27) ),
    inference(cn,[status(thm)],[53880,theory(equality)]) ).

cnf(53961,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | c2_1(a37)
    | ~ hskp26
    | ~ c3_1(a37) ),
    inference(spm,[status(thm)],[18633,53649,theory(equality)]) ).

cnf(54103,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | c2_1(a37)
    | ~ hskp26
    | $false ),
    inference(rw,[status(thm)],[53961,53647,theory(equality)]) ).

cnf(54104,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | c2_1(a37)
    | ~ hskp26 ),
    inference(cn,[status(thm)],[54103,theory(equality)]) ).

cnf(54443,negated_conjecture,
    ( hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[53609,6380]) ).

cnf(54882,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[53490,23529]) ).

cnf(58553,negated_conjecture,
    ( hskp5
    | c2_1(a13)
    | ~ hskp12
    | ~ hskp6 ),
    inference(csr,[status(thm)],[52044,112]) ).

cnf(58560,negated_conjecture,
    ( hskp1
    | hskp5
    | ~ hskp6
    | ~ hskp12 ),
    inference(spm,[status(thm)],[33242,58553,theory(equality)]) ).

cnf(58564,negated_conjecture,
    ( hskp5
    | hskp1
    | ~ hskp6 ),
    inference(csr,[status(thm)],[58560,46615]) ).

cnf(58565,negated_conjecture,
    ( hskp5
    | hskp1 ),
    inference(csr,[status(thm)],[58564,52956]) ).

cnf(58566,negated_conjecture,
    ( hskp5
    | ~ hskp9 ),
    inference(spm,[status(thm)],[53309,58565,theory(equality)]) ).

cnf(58567,negated_conjecture,
    ( hskp5
    | ~ hskp21 ),
    inference(spm,[status(thm)],[53314,58565,theory(equality)]) ).

cnf(58703,negated_conjecture,
    ( hskp5
    | c3_1(a14)
    | ~ hskp12
    | ~ hskp7 ),
    inference(csr,[status(thm)],[52045,108]) ).

cnf(58709,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp7
    | ~ hskp12 ),
    inference(spm,[status(thm)],[4665,58703,theory(equality)]) ).

cnf(58737,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp9
    | ~ hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[58709,13687,theory(equality)]) ).

cnf(58960,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[58737,53460]) ).

cnf(58961,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp27 ),
    inference(csr,[status(thm)],[58960,58566]) ).

cnf(58966,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[58961,37715,theory(equality)]) ).

cnf(59076,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp21 ),
    inference(csr,[status(thm)],[58966,58567]) ).

cnf(59077,negated_conjecture,
    ( hskp15
    | hskp5 ),
    inference(csr,[status(thm)],[59076,53613]) ).

cnf(59926,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp27
    | ~ c3_1(X1)
    | ~ c2_1(a12)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4010,28]) ).

cnf(59927,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a37)
    | ~ c2_1(a12)
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[53645,59926,theory(equality)]) ).

cnf(60012,negated_conjecture,
    ( ~ hskp27
    | $false
    | ~ c2_1(a12)
    | ~ c2_1(a37) ),
    inference(rw,[status(thm)],[59927,53647,theory(equality)]) ).

cnf(60013,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a12)
    | ~ c2_1(a37) ),
    inference(cn,[status(thm)],[60012,theory(equality)]) ).

cnf(60016,negated_conjecture,
    ( hskp29
    | hskp9
    | ~ hskp27
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[60013,4091,theory(equality)]) ).

cnf(60159,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[60016,17866]) ).

cnf(60172,negated_conjecture,
    ( hskp9
    | ~ hskp27
    | ~ hskp0 ),
    inference(spm,[status(thm)],[60159,53494,theory(equality)]) ).

cnf(60183,negated_conjecture,
    ( hskp9
    | c3_1(a99)
    | ~ hskp27
    | ~ hskp26 ),
    inference(spm,[status(thm)],[60159,54104,theory(equality)]) ).

cnf(60209,negated_conjecture,
    ( hskp9
    | ~ hskp0
    | ~ hskp21
    | ~ hskp1 ),
    inference(spm,[status(thm)],[60172,37715,theory(equality)]) ).

cnf(60273,negated_conjecture,
    ( hskp9
    | ~ hskp21
    | ~ hskp0 ),
    inference(csr,[status(thm)],[60209,21109]) ).

cnf(60274,negated_conjecture,
    ( hskp9
    | ~ hskp21 ),
    inference(csr,[status(thm)],[60273,37898]) ).

cnf(60333,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp26
    | ~ hskp27 ),
    inference(spm,[status(thm)],[2179,60183,theory(equality)]) ).

cnf(60482,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp28
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(a27)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[4058,73]) ).

cnf(60483,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16
    | ~ c3_1(a37)
    | ~ c2_1(a27)
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[53645,60482,theory(equality)]) ).

cnf(60568,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16
    | $false
    | ~ c2_1(a27)
    | ~ c2_1(a37) ),
    inference(rw,[status(thm)],[60483,53647,theory(equality)]) ).

cnf(60569,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16
    | ~ c2_1(a27)
    | ~ c2_1(a37) ),
    inference(cn,[status(thm)],[60568,theory(equality)]) ).

cnf(60731,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9
    | ~ hskp26 ),
    inference(csr,[status(thm)],[60333,54882]) ).

cnf(60732,negated_conjecture,
    ( hskp21
    | hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[60731,54882]) ).

cnf(60733,negated_conjecture,
    ( hskp17
    | hskp9 ),
    inference(csr,[status(thm)],[60732,60274]) ).

cnf(63698,negated_conjecture,
    ( c2_1(a7)
    | c2_1(X1)
    | ~ hskp9
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4261,125]) ).

cnf(63699,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp9
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[63698,124]) ).

cnf(63700,negated_conjecture,
    ( c2_1(a7)
    | ~ hskp9
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(spm,[status(thm)],[63699,126,theory(equality)]) ).

cnf(63703,negated_conjecture,
    ( c2_1(a16)
    | ~ hskp9
    | ~ hskp3
    | ~ c1_1(a16) ),
    inference(spm,[status(thm)],[63699,102,theory(equality)]) ).

cnf(63786,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3
    | ~ c1_1(a7) ),
    inference(csr,[status(thm)],[63700,124]) ).

cnf(63853,negated_conjecture,
    ( c2_1(a16)
    | ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[63703,101]) ).

cnf(63858,negated_conjecture,
    ( hskp6
    | ~ hskp11
    | ~ hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19769,63853,theory(equality)]) ).

cnf(63870,negated_conjecture,
    ( hskp6
    | ~ hskp11
    | ~ hskp3 ),
    inference(csr,[status(thm)],[63858,21107]) ).

cnf(63879,negated_conjecture,
    ( hskp6
    | ~ hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[63870,28352,theory(equality)]) ).

cnf(63901,negated_conjecture,
    ( hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[63879,52955]) ).

cnf(63905,negated_conjecture,
    ( hskp6
    | hskp0 ),
    inference(spm,[status(thm)],[63901,54443,theory(equality)]) ).

cnf(63910,negated_conjecture,
    ( c2_1(a11)
    | c2_1(X1)
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c3_1(a11)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4263,58566]) ).

cnf(63913,negated_conjecture,
    ( c2_1(a11)
    | ~ hskp9
    | ~ c3_1(a11)
    | ~ c1_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[63910,118,theory(equality)]) ).

cnf(63994,negated_conjecture,
    hskp6,
    inference(csr,[status(thm)],[63905,19602]) ).

cnf(64023,negated_conjecture,
    ( hskp2
    | ~ hskp23
    | $false
    | ~ c2_1(a13) ),
    inference(rw,[status(thm)],[48244,63994,theory(equality)]) ).

cnf(64024,negated_conjecture,
    ( hskp2
    | ~ hskp23
    | ~ c2_1(a13) ),
    inference(cn,[status(thm)],[64023,theory(equality)]) ).

cnf(64037,negated_conjecture,
    ( hskp27
    | ~ hskp21
    | $false ),
    inference(rw,[status(thm)],[38548,63994,theory(equality)]) ).

cnf(64038,negated_conjecture,
    ( hskp27
    | ~ hskp21 ),
    inference(cn,[status(thm)],[64037,theory(equality)]) ).

cnf(64041,negated_conjecture,
    ( hskp1
    | $false
    | ~ c2_1(a13) ),
    inference(rw,[status(thm)],[33242,63994,theory(equality)]) ).

cnf(64042,negated_conjecture,
    ( hskp1
    | ~ c2_1(a13) ),
    inference(cn,[status(thm)],[64041,theory(equality)]) ).

cnf(64078,negated_conjecture,
    ( $false
    | ~ c0_1(a13) ),
    inference(rw,[status(thm)],[114,63994,theory(equality)]) ).

cnf(64079,negated_conjecture,
    ~ c0_1(a13),
    inference(cn,[status(thm)],[64078,theory(equality)]) ).

cnf(64080,negated_conjecture,
    ( $false
    | ~ c3_1(a13) ),
    inference(rw,[status(thm)],[112,63994,theory(equality)]) ).

cnf(64081,negated_conjecture,
    ~ c3_1(a13),
    inference(cn,[status(thm)],[64080,theory(equality)]) ).

cnf(64082,negated_conjecture,
    ( $false
    | ~ c1_1(a13) ),
    inference(rw,[status(thm)],[113,63994,theory(equality)]) ).

cnf(64083,negated_conjecture,
    ~ c1_1(a13),
    inference(cn,[status(thm)],[64082,theory(equality)]) ).

cnf(64125,negated_conjecture,
    ( hskp2
    | c2_1(a27)
    | c1_1(a13)
    | ~ hskp16
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[64079,47659,theory(equality)]) ).

cnf(64126,negated_conjecture,
    ( hskp2
    | c1_1(a28)
    | c1_1(a13)
    | ~ hskp17
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[64079,47851,theory(equality)]) ).

cnf(64512,negated_conjecture,
    ( c2_1(a38)
    | c2_1(X1)
    | ~ hskp21
    | ~ c0_1(X1)
    | ~ c3_1(a38)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4267,60274]) ).

cnf(64513,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp21
    | ~ c0_1(X1)
    | ~ c3_1(a38)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[64512,52]) ).

cnf(64520,negated_conjecture,
    ( c2_1(a38)
    | ~ hskp21
    | ~ c3_1(a38)
    | ~ c1_1(a38) ),
    inference(spm,[status(thm)],[64513,54,theory(equality)]) ).

cnf(64645,negated_conjecture,
    ( c2_1(a12)
    | c2_1(X1)
    | ~ hskp27
    | ~ hskp9
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4270,28]) ).

cnf(64655,negated_conjecture,
    ( c2_1(a12)
    | ~ hskp27
    | ~ hskp9
    | ~ c1_1(a12) ),
    inference(spm,[status(thm)],[64645,30,theory(equality)]) ).

cnf(64976,negated_conjecture,
    ( c2_1(a12)
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[64655,29]) ).

cnf(64977,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp27
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2101,64976,theory(equality)]) ).

cnf(64983,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a37)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[60013,64976,theory(equality)]) ).

cnf(65072,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[64977,17882]) ).

cnf(65073,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp21 ),
    inference(spm,[status(thm)],[65072,64038,theory(equality)]) ).

cnf(65085,negated_conjecture,
    ( ~ hskp27
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[64983,60159]) ).

cnf(65533,negated_conjecture,
    ( c2_1(a38)
    | ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[64520,53]) ).

cnf(65534,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a38) ),
    inference(csr,[status(thm)],[65533,52]) ).

cnf(66230,negated_conjecture,
    ( c3_1(a38)
    | c2_1(a7)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[4408,125]) ).

cnf(66231,negated_conjecture,
    ( c3_1(a38)
    | c2_1(X1)
    | ~ hskp21
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[66230,124]) ).

cnf(66232,negated_conjecture,
    ( c2_1(X1)
    | ~ hskp21
    | ~ hskp3
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[66231,65534]) ).

cnf(66239,negated_conjecture,
    ( c2_1(a38)
    | ~ hskp21
    | ~ hskp3
    | ~ c1_1(a38) ),
    inference(spm,[status(thm)],[66232,54,theory(equality)]) ).

cnf(66361,negated_conjecture,
    ( c2_1(a38)
    | ~ hskp21
    | ~ hskp3 ),
    inference(csr,[status(thm)],[66239,53]) ).

cnf(66362,negated_conjecture,
    ( ~ hskp21
    | ~ hskp3 ),
    inference(csr,[status(thm)],[66361,52]) ).

cnf(66368,negated_conjecture,
    ( hskp24
    | ~ hskp21 ),
    inference(spm,[status(thm)],[66362,65073,theory(equality)]) ).

cnf(66901,negated_conjecture,
    ( c3_1(a2)
    | c2_1(a2)
    | hskp0
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[53680,52971]) ).

cnf(66902,negated_conjecture,
    ( c3_1(a2)
    | hskp0
    | ~ hskp1
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[133,66901,theory(equality)]) ).

cnf(66906,negated_conjecture,
    ( c3_1(a2)
    | hskp0
    | ~ c2_1(a37) ),
    inference(csr,[status(thm)],[66902,52971]) ).

cnf(66917,negated_conjecture,
    ( c3_1(a2)
    | hskp0
    | hskp9
    | ~ hskp29 ),
    inference(spm,[status(thm)],[66906,53504,theory(equality)]) ).

cnf(66994,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp1
    | ~ hskp29 ),
    inference(spm,[status(thm)],[132,66917,theory(equality)]) ).

cnf(67001,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp29 ),
    inference(csr,[status(thm)],[66994,21109]) ).

cnf(67004,negated_conjecture,
    ( hskp9
    | hskp0
    | ~ hskp3 ),
    inference(spm,[status(thm)],[67001,3947,theory(equality)]) ).

cnf(67022,negated_conjecture,
    ( hskp9
    | hskp0 ),
    inference(csr,[status(thm)],[67004,54443]) ).

cnf(70261,negated_conjecture,
    ( c2_1(a11)
    | ~ hskp9
    | ~ c3_1(a11)
    | ~ c1_1(a11) ),
    inference(csr,[status(thm)],[63913,58566]) ).

cnf(71770,negated_conjecture,
    ( hskp2
    | c2_1(a27)
    | ~ hskp16
    | ~ c2_1(a13) ),
    inference(sr,[status(thm)],[64125,64083,theory(equality)]) ).

cnf(71956,negated_conjecture,
    ( hskp2
    | c1_1(a28)
    | ~ hskp17
    | ~ c2_1(a13) ),
    inference(sr,[status(thm)],[64126,64083,theory(equality)]) ).

cnf(71996,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp29
    | ~ hskp17
    | ~ c2_1(a13) ),
    inference(spm,[status(thm)],[19021,71956,theory(equality)]) ).

cnf(72025,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp29
    | ~ c2_1(a13) ),
    inference(csr,[status(thm)],[71996,60733]) ).

cnf(73507,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp9
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[5099,63853]) ).

cnf(73508,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp9
    | ~ hskp3
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[73507,100]) ).

cnf(73616,negated_conjecture,
    ( c2_1(a7)
    | ~ hskp9
    | ~ hskp3
    | ~ c3_1(a7) ),
    inference(spm,[status(thm)],[63786,73508,theory(equality)]) ).

cnf(73653,negated_conjecture,
    ( c2_1(a7)
    | ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[73616,125]) ).

cnf(73654,negated_conjecture,
    ( ~ hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[73653,124]) ).

cnf(73658,negated_conjecture,
    ( hskp0
    | ~ hskp9 ),
    inference(spm,[status(thm)],[73654,54443,theory(equality)]) ).

cnf(73661,negated_conjecture,
    hskp0,
    inference(csr,[status(thm)],[73658,67022]) ).

cnf(73719,negated_conjecture,
    ( hskp9
    | c2_1(a37)
    | $false ),
    inference(rw,[status(thm)],[53494,73661,theory(equality)]) ).

cnf(73720,negated_conjecture,
    ( hskp9
    | c2_1(a37) ),
    inference(cn,[status(thm)],[73719,theory(equality)]) ).

cnf(73740,negated_conjecture,
    ( hskp9
    | ~ hskp2
    | $false ),
    inference(rw,[status(thm)],[19175,73661,theory(equality)]) ).

cnf(73741,negated_conjecture,
    ( hskp9
    | ~ hskp2 ),
    inference(cn,[status(thm)],[73740,theory(equality)]) ).

cnf(73757,negated_conjecture,
    ( ~ c3_1(a1)
    | $false ),
    inference(rw,[status(thm)],[136,73661,theory(equality)]) ).

cnf(73758,negated_conjecture,
    ~ c3_1(a1),
    inference(cn,[status(thm)],[73757,theory(equality)]) ).

cnf(73759,negated_conjecture,
    ( c2_1(a1)
    | $false ),
    inference(rw,[status(thm)],[137,73661,theory(equality)]) ).

cnf(73760,negated_conjecture,
    c2_1(a1),
    inference(cn,[status(thm)],[73759,theory(equality)]) ).

cnf(73761,negated_conjecture,
    ( c1_1(a1)
    | $false ),
    inference(rw,[status(thm)],[138,73661,theory(equality)]) ).

cnf(73762,negated_conjecture,
    c1_1(a1),
    inference(cn,[status(thm)],[73761,theory(equality)]) ).

cnf(73803,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(a1)
    | c2_1(X1)
    | ~ hskp22
    | ~ c2_1(a1) ),
    inference(spm,[status(thm)],[7697,73762,theory(equality)]) ).

cnf(73885,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(a1)
    | c2_1(X1)
    | ~ hskp22
    | $false ),
    inference(rw,[status(thm)],[73803,73760,theory(equality)]) ).

cnf(73886,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(a1)
    | c2_1(X1)
    | ~ hskp22 ),
    inference(cn,[status(thm)],[73885,theory(equality)]) ).

cnf(73887,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp22 ),
    inference(sr,[status(thm)],[73886,73758,theory(equality)]) ).

cnf(73961,negated_conjecture,
    ( hskp9
    | c0_1(a37)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c1_1(a37) ),
    inference(spm,[status(thm)],[1570,73720,theory(equality)]) ).

cnf(73973,negated_conjecture,
    ( hskp9
    | c0_1(a37)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[73961,53649,theory(equality)]) ).

cnf(73974,negated_conjecture,
    ( hskp9
    | c0_1(a37)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(cn,[status(thm)],[73973,theory(equality)]) ).

cnf(73975,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(sr,[status(thm)],[73974,53645,theory(equality)]) ).

cnf(74162,negated_conjecture,
    ( hskp9
    | c3_1(a13)
    | c2_1(a13) ),
    inference(spm,[status(thm)],[64083,73975,theory(equality)]) ).

cnf(74163,negated_conjecture,
    ( hskp9
    | c3_1(a11)
    | c2_1(a11)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[117,73975,theory(equality)]) ).

cnf(74167,negated_conjecture,
    ( hskp9
    | c3_1(a24)
    | c2_1(a24)
    | ~ hskp15 ),
    inference(spm,[status(thm)],[77,73975,theory(equality)]) ).

cnf(74269,negated_conjecture,
    ( hskp9
    | c2_1(a13) ),
    inference(sr,[status(thm)],[74162,64081,theory(equality)]) ).

cnf(74273,negated_conjecture,
    ( hskp2
    | hskp9
    | ~ hskp23 ),
    inference(spm,[status(thm)],[64024,74269,theory(equality)]) ).

cnf(74281,negated_conjecture,
    ( hskp2
    | c2_1(a27)
    | hskp9
    | ~ hskp16 ),
    inference(spm,[status(thm)],[71770,74269,theory(equality)]) ).

cnf(74282,negated_conjecture,
    ( hskp9
    | hskp2
    | ~ hskp29 ),
    inference(spm,[status(thm)],[72025,74269,theory(equality)]) ).

cnf(74298,negated_conjecture,
    ( hskp9
    | ~ hskp23 ),
    inference(csr,[status(thm)],[74273,73741]) ).

cnf(74319,negated_conjecture,
    ( hskp9
    | ~ hskp29 ),
    inference(csr,[status(thm)],[74282,73741]) ).

cnf(74322,negated_conjecture,
    ( hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[74319,3947,theory(equality)]) ).

cnf(74343,negated_conjecture,
    ~ hskp3,
    inference(csr,[status(thm)],[74322,73654]) ).

cnf(74600,negated_conjecture,
    ( c3_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp9
    | ~ c3_1(a11)
    | ~ c3_1(X1)
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[5166,58566]) ).

cnf(74601,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X1)
    | ~ hskp9
    | ~ c3_1(a11)
    | ~ c3_1(X1)
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[74600,100]) ).

cnf(74682,negated_conjecture,
    ( c2_1(a11)
    | ~ hskp9
    | ~ c3_1(a11)
    | ~ c2_1(a16) ),
    inference(spm,[status(thm)],[70261,74601,theory(equality)]) ).

cnf(75139,negated_conjecture,
    ( hskp9
    | c2_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[74281,73741]) ).

cnf(75798,negated_conjecture,
    ( hskp9
    | c3_1(a11)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[74163,116]) ).

cnf(75805,negated_conjecture,
    ( hskp29
    | hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[3952,75798,theory(equality)]) ).

cnf(75816,negated_conjecture,
    ( hskp9
    | ~ hskp5 ),
    inference(csr,[status(thm)],[75805,74319]) ).

cnf(75879,negated_conjecture,
    ( hskp9
    | c3_1(a24)
    | ~ hskp15 ),
    inference(csr,[status(thm)],[74167,76]) ).

cnf(75881,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[2642,75879,theory(equality)]) ).

cnf(75892,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp15 ),
    inference(csr,[status(thm)],[75881,74298]) ).

cnf(75934,negated_conjecture,
    ( c3_1(a16)
    | c2_1(a27)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X1)
    | ~ c2_1(a16) ),
    inference(csr,[status(thm)],[5302,75139]) ).

cnf(76440,negated_conjecture,
    ( c3_1(a13)
    | c2_1(a13)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[64079,73887,theory(equality)]) ).

cnf(76441,negated_conjecture,
    ( c3_1(a2)
    | c2_1(a2)
    | ~ hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[134,73887,theory(equality)]) ).

cnf(76539,negated_conjecture,
    ( c2_1(a13)
    | ~ hskp22 ),
    inference(sr,[status(thm)],[76440,64081,theory(equality)]) ).

cnf(76542,negated_conjecture,
    ( hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[64042,76539,theory(equality)]) ).

cnf(76806,negated_conjecture,
    ( c3_1(a2)
    | c2_1(a2)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[76441,76542]) ).

cnf(76807,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[133,76806,theory(equality)]) ).

cnf(76811,negated_conjecture,
    ( c3_1(a2)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[76807,76542]) ).

cnf(76812,negated_conjecture,
    ( ~ hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[132,76811,theory(equality)]) ).

cnf(76827,negated_conjecture,
    ~ hskp22,
    inference(csr,[status(thm)],[76812,76542]) ).

cnf(76834,negated_conjecture,
    ( hskp9
    | ~ hskp15 ),
    inference(spm,[status(thm)],[76827,75892,theory(equality)]) ).

cnf(76846,negated_conjecture,
    ( hskp9
    | hskp5 ),
    inference(spm,[status(thm)],[76834,59077,theory(equality)]) ).

cnf(76853,negated_conjecture,
    hskp9,
    inference(csr,[status(thm)],[76846,75816]) ).

cnf(76855,negated_conjecture,
    ( c2_1(a11)
    | $false
    | ~ c3_1(a11)
    | ~ c2_1(a16) ),
    inference(rw,[status(thm)],[74682,76853,theory(equality)]) ).

cnf(76856,negated_conjecture,
    ( c2_1(a11)
    | ~ c3_1(a11)
    | ~ c2_1(a16) ),
    inference(cn,[status(thm)],[76855,theory(equality)]) ).

cnf(76917,negated_conjecture,
    ( c2_1(a11)
    | c2_1(X1)
    | $false
    | ~ c0_1(X1)
    | ~ c3_1(a11)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[63910,76853,theory(equality)]) ).

cnf(76918,negated_conjecture,
    ( c2_1(a11)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a11)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[76917,theory(equality)]) ).

cnf(76921,negated_conjecture,
    ( hskp5
    | $false ),
    inference(rw,[status(thm)],[58566,76853,theory(equality)]) ).

cnf(76922,negated_conjecture,
    hskp5,
    inference(cn,[status(thm)],[76921,theory(equality)]) ).

cnf(76924,negated_conjecture,
    ( hskp12
    | $false ),
    inference(rw,[status(thm)],[43686,76853,theory(equality)]) ).

cnf(76925,negated_conjecture,
    hskp12,
    inference(cn,[status(thm)],[76924,theory(equality)]) ).

cnf(76939,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | $false
    | ~ c2_1(X2) ),
    inference(rw,[status(thm)],[9582,76853,theory(equality)]) ).

cnf(76940,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X2)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[76939,theory(equality)]) ).

cnf(76954,negated_conjecture,
    ( hskp21
    | hskp10
    | $false ),
    inference(rw,[status(thm)],[3750,76853,theory(equality)]) ).

cnf(76955,negated_conjecture,
    ( hskp21
    | hskp10 ),
    inference(cn,[status(thm)],[76954,theory(equality)]) ).

cnf(76963,negated_conjecture,
    ( $false
    | ~ c3_1(a16) ),
    inference(rw,[status(thm)],[100,76853,theory(equality)]) ).

cnf(76964,negated_conjecture,
    ~ c3_1(a16),
    inference(cn,[status(thm)],[76963,theory(equality)]) ).

cnf(76965,negated_conjecture,
    ( c0_1(a16)
    | $false ),
    inference(rw,[status(thm)],[102,76853,theory(equality)]) ).

cnf(76966,negated_conjecture,
    c0_1(a16),
    inference(cn,[status(thm)],[76965,theory(equality)]) ).

cnf(76967,negated_conjecture,
    ( c1_1(a16)
    | $false ),
    inference(rw,[status(thm)],[101,76853,theory(equality)]) ).

cnf(76968,negated_conjecture,
    c1_1(a16),
    inference(cn,[status(thm)],[76967,theory(equality)]) ).

cnf(77053,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[10139,76922,theory(equality)]) ).

cnf(77054,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[77053,theory(equality)]) ).

cnf(77055,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | $false
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(rw,[status(thm)],[8975,76922,theory(equality)]) ).

cnf(77056,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[77055,theory(equality)]) ).

cnf(77057,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c2_1(X1)
    | c1_1(X2)
    | $false
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[8033,76922,theory(equality)]) ).

cnf(77058,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a11)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[77057,theory(equality)]) ).

cnf(77088,negated_conjecture,
    ( $false
    | ~ c2_1(a11) ),
    inference(rw,[status(thm)],[116,76922,theory(equality)]) ).

cnf(77089,negated_conjecture,
    ~ c2_1(a11),
    inference(cn,[status(thm)],[77088,theory(equality)]) ).

cnf(77090,negated_conjecture,
    ( $false
    | ~ c1_1(a11) ),
    inference(rw,[status(thm)],[117,76922,theory(equality)]) ).

cnf(77091,negated_conjecture,
    ~ c1_1(a11),
    inference(cn,[status(thm)],[77090,theory(equality)]) ).

cnf(77137,negated_conjecture,
    ( $false
    | ~ c3_1(a20) ),
    inference(rw,[status(thm)],[88,76925,theory(equality)]) ).

cnf(77138,negated_conjecture,
    ~ c3_1(a20),
    inference(cn,[status(thm)],[77137,theory(equality)]) ).

cnf(77139,negated_conjecture,
    ( $false
    | ~ c1_1(a20) ),
    inference(rw,[status(thm)],[89,76925,theory(equality)]) ).

cnf(77140,negated_conjecture,
    ~ c1_1(a20),
    inference(cn,[status(thm)],[77139,theory(equality)]) ).

cnf(77141,negated_conjecture,
    ( c2_1(a20)
    | $false ),
    inference(rw,[status(thm)],[90,76925,theory(equality)]) ).

cnf(77142,negated_conjecture,
    c2_1(a20),
    inference(cn,[status(thm)],[77141,theory(equality)]) ).

cnf(77394,negated_conjecture,
    ( ~ c3_1(a11)
    | ~ c2_1(a16) ),
    inference(sr,[status(thm)],[76856,77089,theory(equality)]) ).

cnf(77725,negated_conjecture,
    ( c2_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(a11)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[76918,77089,theory(equality)]) ).

cnf(77726,negated_conjecture,
    ( c2_1(a16)
    | ~ c3_1(a11)
    | ~ c1_1(a16) ),
    inference(spm,[status(thm)],[77725,76966,theory(equality)]) ).

cnf(77773,negated_conjecture,
    ( c2_1(a16)
    | ~ c3_1(a11)
    | $false ),
    inference(rw,[status(thm)],[77726,76968,theory(equality)]) ).

cnf(77774,negated_conjecture,
    ( c2_1(a16)
    | ~ c3_1(a11) ),
    inference(cn,[status(thm)],[77773,theory(equality)]) ).

cnf(77776,negated_conjecture,
    ~ c3_1(a11),
    inference(csr,[status(thm)],[77774,77394]) ).

cnf(77848,negated_conjecture,
    ( c0_1(X1)
    | c3_1(a20)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(a20)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[76940,77142,theory(equality)]) ).

cnf(77897,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(a20)
    | c1_1(X1) ),
    inference(sr,[status(thm)],[77848,77138,theory(equality)]) ).

cnf(77898,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a16)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(sr,[status(thm)],[77897,77140,theory(equality)]) ).

cnf(77955,negated_conjecture,
    ( c2_1(a16)
    | c2_1(a13)
    | c1_1(a13) ),
    inference(spm,[status(thm)],[64079,77898,theory(equality)]) ).

cnf(78020,negated_conjecture,
    ( c2_1(a16)
    | c2_1(a13) ),
    inference(sr,[status(thm)],[77955,64083,theory(equality)]) ).

cnf(78207,negated_conjecture,
    ( c0_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c2_1(X1) ),
    inference(sr,[status(thm)],[77054,77776,theory(equality)]) ).

cnf(78253,negated_conjecture,
    ( c0_1(a13)
    | c3_1(X1)
    | c3_1(a13)
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(a16) ),
    inference(spm,[status(thm)],[78207,78020,theory(equality)]) ).

cnf(78283,negated_conjecture,
    ( c3_1(X1)
    | c3_1(a13)
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(a16) ),
    inference(sr,[status(thm)],[78253,64079,theory(equality)]) ).

cnf(78284,negated_conjecture,
    ( c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(a16) ),
    inference(sr,[status(thm)],[78283,64081,theory(equality)]) ).

cnf(78618,negated_conjecture,
    ( c3_1(a11)
    | c2_1(a16)
    | c2_1(a11) ),
    inference(spm,[status(thm)],[77091,78284,theory(equality)]) ).

cnf(78686,negated_conjecture,
    ( c2_1(a16)
    | c2_1(a11) ),
    inference(sr,[status(thm)],[78618,77776,theory(equality)]) ).

cnf(78687,negated_conjecture,
    c2_1(a16),
    inference(sr,[status(thm)],[78686,77089,theory(equality)]) ).

cnf(78689,negated_conjecture,
    ( c0_1(a37)
    | c0_1(X1)
    | c2_1(a37)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(spm,[status(thm)],[77056,53647,theory(equality)]) ).

cnf(78709,negated_conjecture,
    ( c0_1(X1)
    | c2_1(a37)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(sr,[status(thm)],[78689,53645,theory(equality)]) ).

cnf(78712,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[77058,77776,theory(equality)]) ).

cnf(78752,negated_conjecture,
    ( c3_1(a16)
    | c2_1(a27)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[75934,78687,theory(equality)]) ).

cnf(78753,negated_conjecture,
    ( c3_1(a16)
    | c2_1(a27)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[78752,theory(equality)]) ).

cnf(78754,negated_conjecture,
    ( c2_1(a27)
    | c2_1(X1)
    | c1_1(X1)
    | ~ hskp16
    | ~ c3_1(X1) ),
    inference(sr,[status(thm)],[78753,76964,theory(equality)]) ).

cnf(78798,negated_conjecture,
    ( c2_1(a27)
    | ~ hskp16
    | ~ c3_1(a27) ),
    inference(spm,[status(thm)],[72,78754,theory(equality)]) ).

cnf(78865,negated_conjecture,
    ( c2_1(a27)
    | ~ hskp16 ),
    inference(csr,[status(thm)],[78798,73]) ).

cnf(78867,negated_conjecture,
    ( hskp10
    | c2_1(a37)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[53881,78865,theory(equality)]) ).

cnf(78868,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16
    | ~ c2_1(a37) ),
    inference(spm,[status(thm)],[60569,78865,theory(equality)]) ).

cnf(78908,negated_conjecture,
    ( hskp10
    | ~ hskp28
    | ~ hskp16 ),
    inference(spm,[status(thm)],[78868,78867,theory(equality)]) ).

cnf(79101,negated_conjecture,
    ( c2_1(a37)
    | c1_1(a18)
    | ~ hskp10
    | ~ c3_1(a18) ),
    inference(spm,[status(thm)],[97,78709,theory(equality)]) ).

cnf(79183,negated_conjecture,
    ( c2_1(a37)
    | c1_1(a18)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[79101,98]) ).

cnf(79184,negated_conjecture,
    ( c2_1(a37)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[79183,96]) ).

cnf(79185,negated_conjecture,
    ( hskp21
    | hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[53639,79184,theory(equality)]) ).

cnf(79186,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[53641,79184,theory(equality)]) ).

cnf(79192,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16
    | ~ hskp10 ),
    inference(spm,[status(thm)],[78868,79184,theory(equality)]) ).

cnf(79193,negated_conjecture,
    ( hskp24
    | ~ hskp10 ),
    inference(sr,[status(thm)],[79186,74343,theory(equality)]) ).

cnf(79201,negated_conjecture,
    ( hskp24
    | hskp21 ),
    inference(spm,[status(thm)],[79193,76955,theory(equality)]) ).

cnf(79214,negated_conjecture,
    hskp24,
    inference(csr,[status(thm)],[79201,66368]) ).

cnf(79307,negated_conjecture,
    ( $false
    | ~ c0_1(a58) ),
    inference(rw,[status(thm)],[41,79214,theory(equality)]) ).

cnf(79308,negated_conjecture,
    ~ c0_1(a58),
    inference(cn,[status(thm)],[79307,theory(equality)]) ).

cnf(79309,negated_conjecture,
    ( $false
    | ~ c1_1(a58) ),
    inference(rw,[status(thm)],[40,79214,theory(equality)]) ).

cnf(79310,negated_conjecture,
    ~ c1_1(a58),
    inference(cn,[status(thm)],[79309,theory(equality)]) ).

cnf(79311,negated_conjecture,
    ( c2_1(a58)
    | $false ),
    inference(rw,[status(thm)],[42,79214,theory(equality)]) ).

cnf(79312,negated_conjecture,
    c2_1(a58),
    inference(cn,[status(thm)],[79311,theory(equality)]) ).

cnf(79344,negated_conjecture,
    ( c2_1(a37)
    | c1_1(a58)
    | ~ c3_1(a58) ),
    inference(spm,[status(thm)],[79308,78709,theory(equality)]) ).

cnf(79356,negated_conjecture,
    ( c0_1(a58)
    | c3_1(X1)
    | c3_1(a58)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[78207,79312,theory(equality)]) ).

cnf(79357,negated_conjecture,
    ( c3_1(X1)
    | c3_1(a58)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(sr,[status(thm)],[79356,79308,theory(equality)]) ).

cnf(79620,negated_conjecture,
    ( hskp21
    | hskp17 ),
    inference(csr,[status(thm)],[79185,76955]) ).

cnf(79623,negated_conjecture,
    ( ~ hskp28
    | ~ hskp16 ),
    inference(csr,[status(thm)],[79192,78908]) ).

cnf(79730,negated_conjecture,
    ( c2_1(a37)
    | ~ c3_1(a58) ),
    inference(sr,[status(thm)],[79344,79310,theory(equality)]) ).

cnf(79734,negated_conjecture,
    ( ~ hskp27
    | ~ c3_1(a58) ),
    inference(spm,[status(thm)],[65085,79730,theory(equality)]) ).

cnf(79820,negated_conjecture,
    ( c3_1(a58)
    | c3_1(a11)
    | c2_1(a11) ),
    inference(spm,[status(thm)],[77091,79357,theory(equality)]) ).

cnf(79873,negated_conjecture,
    ( c3_1(a58)
    | c2_1(a11) ),
    inference(sr,[status(thm)],[79820,77776,theory(equality)]) ).

cnf(79874,negated_conjecture,
    c3_1(a58),
    inference(sr,[status(thm)],[79873,77089,theory(equality)]) ).

cnf(79881,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a58)
    | ~ c2_1(a58)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[78712,79874,theory(equality)]) ).

cnf(79885,negated_conjecture,
    ( ~ hskp27
    | $false ),
    inference(rw,[status(thm)],[79734,79874,theory(equality)]) ).

cnf(79886,negated_conjecture,
    ~ hskp27,
    inference(cn,[status(thm)],[79885,theory(equality)]) ).

cnf(79899,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a58)
    | $false
    | ~ c1_1(X1) ),
    inference(rw,[status(thm)],[79881,79312,theory(equality)]) ).

cnf(79900,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(a58)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[79899,theory(equality)]) ).

cnf(79901,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[79900,79310,theory(equality)]) ).

cnf(79902,negated_conjecture,
    ~ hskp21,
    inference(spm,[status(thm)],[79886,64038,theory(equality)]) ).

cnf(79905,negated_conjecture,
    ( hskp28
    | hskp7 ),
    inference(sr,[status(thm)],[53619,79902,theory(equality)]) ).

cnf(79908,negated_conjecture,
    hskp17,
    inference(sr,[status(thm)],[79620,79902,theory(equality)]) ).

cnf(80014,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(a28)
    | c1_1(X1)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[47851,79908,theory(equality)]) ).

cnf(80015,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | c1_1(a28)
    | c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[80014,theory(equality)]) ).

cnf(80024,negated_conjecture,
    ( $false
    | ~ c0_1(a28) ),
    inference(rw,[status(thm)],[69,79908,theory(equality)]) ).

cnf(80025,negated_conjecture,
    ~ c0_1(a28),
    inference(cn,[status(thm)],[80024,theory(equality)]) ).

cnf(80026,negated_conjecture,
    ( $false
    | ~ c2_1(a28) ),
    inference(rw,[status(thm)],[68,79908,theory(equality)]) ).

cnf(80027,negated_conjecture,
    ~ c2_1(a28),
    inference(cn,[status(thm)],[80026,theory(equality)]) ).

cnf(80354,negated_conjecture,
    ( hskp2
    | c1_1(a28)
    | c1_1(a58)
    | ~ c2_1(a58) ),
    inference(spm,[status(thm)],[79308,80015,theory(equality)]) ).

cnf(80397,negated_conjecture,
    ( hskp2
    | c1_1(a28)
    | c1_1(a58)
    | $false ),
    inference(rw,[status(thm)],[80354,79312,theory(equality)]) ).

cnf(80398,negated_conjecture,
    ( hskp2
    | c1_1(a28)
    | c1_1(a58) ),
    inference(cn,[status(thm)],[80397,theory(equality)]) ).

cnf(80399,negated_conjecture,
    ( hskp2
    | c1_1(a28) ),
    inference(sr,[status(thm)],[80398,79310,theory(equality)]) ).

cnf(80474,negated_conjecture,
    ( c2_1(a28)
    | ~ c1_1(a28) ),
    inference(spm,[status(thm)],[80025,79901,theory(equality)]) ).

cnf(80475,negated_conjecture,
    ( c2_1(a14)
    | ~ hskp7
    | ~ c1_1(a14) ),
    inference(spm,[status(thm)],[109,79901,theory(equality)]) ).

cnf(80481,negated_conjecture,
    ( hskp27
    | hskp16
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1580,79901,theory(equality)]) ).

cnf(80513,negated_conjecture,
    ~ c1_1(a28),
    inference(sr,[status(thm)],[80474,80027,theory(equality)]) ).

cnf(80514,negated_conjecture,
    ( hskp16
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[80481,79886,theory(equality)]) ).

cnf(80539,negated_conjecture,
    hskp2,
    inference(sr,[status(thm)],[80399,80513,theory(equality)]) ).

cnf(80574,negated_conjecture,
    ( $false
    | ~ c2_1(a3) ),
    inference(rw,[status(thm)],[128,80539,theory(equality)]) ).

cnf(80575,negated_conjecture,
    ~ c2_1(a3),
    inference(cn,[status(thm)],[80574,theory(equality)]) ).

cnf(80576,negated_conjecture,
    ( c3_1(a3)
    | $false ),
    inference(rw,[status(thm)],[129,80539,theory(equality)]) ).

cnf(80577,negated_conjecture,
    c3_1(a3),
    inference(cn,[status(thm)],[80576,theory(equality)]) ).

cnf(80578,negated_conjecture,
    ( c1_1(a3)
    | $false ),
    inference(rw,[status(thm)],[130,80539,theory(equality)]) ).

cnf(80579,negated_conjecture,
    c1_1(a3),
    inference(cn,[status(thm)],[80578,theory(equality)]) ).

cnf(80637,negated_conjecture,
    ( c2_1(a14)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[80475,110]) ).

cnf(80638,negated_conjecture,
    ~ hskp7,
    inference(csr,[status(thm)],[80637,108]) ).

cnf(80641,negated_conjecture,
    hskp28,
    inference(sr,[status(thm)],[79905,80638,theory(equality)]) ).

cnf(80656,negated_conjecture,
    ( $false
    | ~ hskp16 ),
    inference(rw,[status(thm)],[79623,80641,theory(equality)]) ).

cnf(80657,negated_conjecture,
    ~ hskp16,
    inference(cn,[status(thm)],[80656,theory(equality)]) ).

cnf(81058,negated_conjecture,
    ( c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1) ),
    inference(sr,[status(thm)],[80514,80657,theory(equality)]) ).

cnf(81062,negated_conjecture,
    ( c2_1(a3)
    | ~ c3_1(a3) ),
    inference(spm,[status(thm)],[81058,80579,theory(equality)]) ).

cnf(81080,negated_conjecture,
    ( c2_1(a3)
    | $false ),
    inference(rw,[status(thm)],[81062,80577,theory(equality)]) ).

cnf(81081,negated_conjecture,
    c2_1(a3),
    inference(cn,[status(thm)],[81080,theory(equality)]) ).

cnf(81082,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[81081,80575,theory(equality)]) ).

cnf(81083,negated_conjecture,
    $false,
    81082,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN498+1.p
% --creating new selector for []
% -running prover on /tmp/tmplC5Kt3/sel_SYN498+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN498+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN498+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN498+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
% 
%------------------------------------------------------------------------------