TSTP Solution File: SYN475+1 by SInE---0.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SInE---0.4
% Problem  : SYN475+1 : TPTP v5.0.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : Source/sine.py -e eprover -t %d %s

% Computer : art04.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 13:40:32 EST 2010

% Result   : Theorem 9.74s
% Output   : CNFRefutation 9.74s
% Verified : 
% SZS Type : None (MakeTreeStats ran out of CPU time)
% Syntax   : Number of formulae    : 2006

% Comments : 
%------------------------------------------------------------------------------
fof(1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1000)
          & c2_1(a1000)
          & ~ c3_1(a1000) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a1001)
          & c3_1(a1001)
          & ~ c1_1(a1001) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a1002)
          & c2_1(a1002)
          & ~ c1_1(a1002) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1003)
          & ~ c0_1(a1003)
          & ~ c2_1(a1003) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1004)
          & c2_1(a1004)
          & ~ c3_1(a1004) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c1_1(a1005)
          & ~ c2_1(a1005)
          & ~ c3_1(a1005) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1006)
          & c3_1(a1006)
          & ~ c2_1(a1006) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a1008)
          & ~ c1_1(a1008)
          & ~ c3_1(a1008) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1010)
          & c3_1(a1010)
          & ~ c1_1(a1010) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a1011)
          & c1_1(a1011)
          & ~ c2_1(a1011) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1012)
          & ~ c1_1(a1012)
          & ~ c3_1(a1012) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a1015)
          & ~ c0_1(a1015)
          & ~ c1_1(a1015) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a1019)
          & c2_1(a1019)
          & ~ c0_1(a1019) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a1023)
          & ~ c1_1(a1023)
          & ~ c2_1(a1023) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a1025)
          & ~ c2_1(a1025)
          & ~ c3_1(a1025) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1026)
          & ~ c0_1(a1026)
          & ~ c1_1(a1026) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a1030)
          & ~ c2_1(a1030)
          & ~ c3_1(a1030) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a1032)
          & c3_1(a1032)
          & ~ c0_1(a1032) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a1036)
          & c3_1(a1036)
          & ~ c2_1(a1036) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a1037)
          & ~ c1_1(a1037)
          & ~ c3_1(a1037) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a1038)
          & ~ c1_1(a1038)
          & ~ c2_1(a1038) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1041)
          & ~ c0_1(a1041)
          & ~ c3_1(a1041) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1043)
          & ~ c1_1(a1043)
          & ~ c2_1(a1043) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a1044)
          & c1_1(a1044)
          & ~ c3_1(a1044) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a1045)
          & c3_1(a1045)
          & ~ c0_1(a1045) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1048)
          & ~ c0_1(a1048)
          & ~ c3_1(a1048) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c3_1(a1052)
          & ~ c0_1(a1052)
          & ~ c2_1(a1052) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1029)
          & c2_1(a1029)
          & c3_1(a1029) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1033)
          & c1_1(a1033)
          & c2_1(a1033) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1040)
          & c1_1(a1040)
          & c3_1(a1040) ) )
      & ( ! [X1] :
            ( ndr1_0
           => ( c0_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c0_1(X2)
              | c1_1(X2)
              | ~ c2_1(X2) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c0_1(X3)
              | c2_1(X3)
              | ~ c3_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( c0_1(X4)
              | c1_1(X4)
              | c2_1(X4) ) )
        | hskp0
        | hskp1 )
      & ( ! [X5] :
            ( ndr1_0
           => ( c0_1(X5)
              | c1_1(X5)
              | c3_1(X5) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c1_1(X6)
              | c2_1(X6)
              | c3_1(X6) ) )
        | hskp2 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c1_1(X7)
              | ~ c2_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c0_1(X8)
              | ~ c2_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c2_1(X9)
              | ~ c0_1(X9)
              | ~ c1_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c2_1(X11)
              | c3_1(X11)
              | ~ c1_1(X11) ) )
        | hskp3 )
      & ( ! [X12] :
            ( ndr1_0
           => ( c0_1(X12)
              | c1_1(X12)
              | ~ c2_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c2_1(X13)
              | ~ c0_1(X13)
              | ~ c3_1(X13) ) )
        | hskp4 )
      & ( ! [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)
              | c3_1(X16)
              | ~ c2_1(X16) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c1_1(X18)
              | ~ c2_1(X18) ) )
        | hskp5 )
      & ( ! [X19] :
            ( ndr1_0
           => ( c0_1(X19)
              | c2_1(X19)
              | c3_1(X19) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c0_1(X20)
              | c3_1(X20)
              | ~ c1_1(X20) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c1_1(X21)
              | c2_1(X21)
              | c3_1(X21) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( c0_1(X22)
              | c2_1(X22)
              | c3_1(X22) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | ~ c2_1(X23)
              | ~ c3_1(X23) ) )
        | hskp6 )
      & ( ! [X24] :
            ( ndr1_0
           => ( c0_1(X24)
              | c2_1(X24)
              | c3_1(X24) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c1_1(X25)
              | c3_1(X25)
              | ~ c2_1(X25) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c2_1(X26)
              | c3_1(X26)
              | ~ c0_1(X26) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c0_1(X27)
              | c2_1(X27)
              | ~ c1_1(X27) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | ~ c1_1(X28)
              | ~ c2_1(X28) ) )
        | hskp0 )
      & ( ! [X29] :
            ( ndr1_0
           => ( c0_1(X29)
              | c2_1(X29)
              | ~ c1_1(X29) ) )
        | ! [X30] :
            ( ndr1_0
           => ( c1_1(X30)
              | c2_1(X30)
              | ~ c3_1(X30) ) )
        | hskp7 )
      & ( ! [X31] :
            ( ndr1_0
           => ( c0_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | ! [X32] :
            ( ndr1_0
           => ( c1_1(X32)
              | c3_1(X32)
              | ~ c0_1(X32) ) )
        | hskp4 )
      & ( ! [X33] :
            ( ndr1_0
           => ( c0_1(X33)
              | c2_1(X33)
              | ~ c1_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c3_1(X34)
              | ~ c2_1(X34) ) )
        | hskp8 )
      & ( ! [X35] :
            ( ndr1_0
           => ( c0_1(X35)
              | c2_1(X35)
              | ~ c1_1(X35) ) )
        | hskp9
        | hskp10 )
      & ( ! [X36] :
            ( ndr1_0
           => ( c0_1(X36)
              | c2_1(X36)
              | ~ c1_1(X36) ) )
        | hskp8
        | hskp7 )
      & ( ! [X37] :
            ( ndr1_0
           => ( c0_1(X37)
              | c3_1(X37)
              | ~ c1_1(X37) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c3_1(X38) ) )
        | hskp11 )
      & ( ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c3_1(X39)
              | ~ c1_1(X39) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | c2_1(X40)
              | ~ c3_1(X40) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c2_1(X41)
              | ~ c3_1(X41) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | c3_1(X42)
              | ~ c1_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c1_1(X43)
              | c3_1(X43)
              | ~ c2_1(X43) ) )
        | hskp7 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c0_1(X44)
              | c3_1(X44)
              | ~ c1_1(X44) ) )
        | ! [X45] :
            ( ndr1_0
           => ( c1_1(X45)
              | ~ c0_1(X45)
              | ~ c3_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c3_1(X46)
              | ~ c0_1(X46)
              | ~ c2_1(X46) ) ) )
      & ( ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | c3_1(X47)
              | ~ c1_1(X47) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | ~ c2_1(X48)
              | ~ c3_1(X48) ) )
        | hskp6 )
      & ( ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c3_1(X49)
              | ~ c1_1(X49) ) )
        | hskp6
        | hskp12 )
      & ( ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | c3_1(X50)
              | ~ c2_1(X50) ) )
        | ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c0_1(X51)
              | ~ c2_1(X51) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c2_1(X52)
              | c3_1(X52)
              | ~ c0_1(X52) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( c0_1(X53)
              | c3_1(X53)
              | ~ c2_1(X53) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c1_1(X54)
              | ~ c0_1(X54)
              | ~ c3_1(X54) ) )
        | hskp11 )
      & ( ! [X55] :
            ( ndr1_0
           => ( c0_1(X55)
              | c3_1(X55)
              | ~ c2_1(X55) ) )
        | hskp2
        | hskp1 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | ~ c1_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c1_1(X57)
              | c2_1(X57)
              | ~ c3_1(X57) ) )
        | hskp13 )
      & ( ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | ~ c1_1(X58)
              | ~ c2_1(X58) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c1_1(X59)
              | ~ c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp8 )
      & ( ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | ~ c0_1(X61)
              | ~ c3_1(X61) ) )
        | hskp14 )
      & ( ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X63] :
            ( ndr1_0
           => ( c0_1(X63)
              | ~ c2_1(X63)
              | ~ c3_1(X63) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c2_1(X64)
              | ~ c3_1(X64) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c1_1(X65)
              | ~ c3_1(X65) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c1_1(X66)
              | ~ c0_1(X66)
              | ~ c3_1(X66) ) )
        | hskp15 )
      & ( ! [X67] :
            ( ndr1_0
           => ( c0_1(X67)
              | ~ c2_1(X67)
              | ~ c3_1(X67) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c2_1(X68)
              | c3_1(X68)
              | ~ c1_1(X68) ) )
        | hskp9 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c1_1(X69)
              | c2_1(X69)
              | c3_1(X69) ) )
        | ! [X70] :
            ( ndr1_0
           => ( c1_1(X70)
              | c3_1(X70)
              | ~ c0_1(X70) ) )
        | hskp13 )
      & ( ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | c3_1(X71) ) )
        | ! [X72] :
            ( ndr1_0
           => ( c1_1(X72)
              | ~ c0_1(X72)
              | ~ c2_1(X72) ) )
        | hskp27 )
      & ( ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | c2_1(X73)
              | c3_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( c2_1(X74)
              | c3_1(X74)
              | ~ c1_1(X74) ) )
        | hskp16 )
      & ( ! [X75] :
            ( ndr1_0
           => ( c1_1(X75)
              | c2_1(X75)
              | c3_1(X75) ) )
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c0_1(X76)
              | ~ c3_1(X76) ) )
        | hskp12 )
      & ( ! [X77] :
            ( ndr1_0
           => ( c1_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | ~ c0_1(X78)
              | ~ c1_1(X78) ) )
        | hskp17 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c1_1(X79)
              | c2_1(X79)
              | ~ c3_1(X79) ) )
        | hskp28
        | hskp8 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c1_1(X80)
              | c2_1(X80)
              | ~ c3_1(X80) ) )
        | hskp10
        | hskp18 )
      & ( ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | c3_1(X81)
              | ~ c0_1(X81) ) )
        | ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c0_1(X82)
              | ~ c2_1(X82) ) )
        | hskp19 )
      & ( ! [X83] :
            ( ndr1_0
           => ( c1_1(X83)
              | c3_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X84] :
            ( ndr1_0
           => ( c2_1(X84)
              | c3_1(X84)
              | ~ c0_1(X84) ) )
        | hskp20 )
      & ( ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | c3_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c3_1(X86)
              | ~ c1_1(X86)
              | ~ c2_1(X86) ) )
        | hskp10 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c3_1(X87)
              | ~ c0_1(X87) ) )
        | hskp29
        | hskp21 )
      & ( ! [X88] :
            ( ndr1_0
           => ( c1_1(X88)
              | ~ c0_1(X88)
              | ~ c2_1(X88) ) )
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c2_1(X89)
              | ~ c3_1(X89) ) )
        | hskp6 )
      & ( ! [X90] :
            ( ndr1_0
           => ( c1_1(X90)
              | ~ c0_1(X90)
              | ~ c3_1(X90) ) )
        | ! [X91] :
            ( ndr1_0
           => ( c2_1(X91)
              | c3_1(X91)
              | ~ c1_1(X91) ) )
        | hskp22 )
      & ( ! [X92] :
            ( ndr1_0
           => ( c1_1(X92)
              | ~ c0_1(X92)
              | ~ c3_1(X92) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c0_1(X93)
              | ~ c1_1(X93) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c2_1(X94)
              | ~ c3_1(X94) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( c1_1(X95)
              | ~ c0_1(X95)
              | ~ c3_1(X95) ) )
        | hskp23 )
      & ( ! [X96] :
            ( ndr1_0
           => ( c1_1(X96)
              | ~ c0_1(X96)
              | ~ c3_1(X96) ) )
        | hskp24
        | hskp15 )
      & ( ! [X97] :
            ( ndr1_0
           => ( c1_1(X97)
              | ~ c2_1(X97)
              | ~ c3_1(X97) ) )
        | ! [X98] :
            ( ndr1_0
           => ( c2_1(X98)
              | ~ c0_1(X98)
              | ~ c3_1(X98) ) )
        | ! [X99] :
            ( ndr1_0
           => ( c3_1(X99)
              | ~ c1_1(X99)
              | ~ c2_1(X99) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( c2_1(X100)
              | c3_1(X100)
              | ~ c0_1(X100) ) )
        | hskp3
        | hskp25 )
      & ( ! [X101] :
            ( ndr1_0
           => ( c2_1(X101)
              | c3_1(X101)
              | ~ c1_1(X101) ) )
        | ! [X102] :
            ( ndr1_0
           => ( c3_1(X102)
              | ~ c0_1(X102)
              | ~ c2_1(X102) ) )
        | hskp15 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c0_1(X103)
              | ~ c1_1(X103) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c2_1(X104)
              | ~ c3_1(X104) ) )
        | hskp6 )
      & ( ! [X105] :
            ( ndr1_0
           => ( c2_1(X105)
              | ~ c0_1(X105)
              | ~ c1_1(X105) ) )
        | hskp8
        | hskp26 )
      & ( ! [X106] :
            ( ndr1_0
           => ( c2_1(X106)
              | ~ c0_1(X106)
              | ~ c1_1(X106) ) )
        | hskp6
        | hskp13 )
      & ( ! [X107] :
            ( ndr1_0
           => ( c2_1(X107)
              | ~ c0_1(X107)
              | ~ c3_1(X107) ) )
        | hskp23
        | hskp3 )
      & ( ! [X108] :
            ( ndr1_0
           => ( c2_1(X108)
              | ~ c1_1(X108)
              | ~ c3_1(X108) ) )
        | hskp6
        | hskp22 )
      & ( ! [X109] :
            ( ndr1_0
           => ( c3_1(X109)
              | ~ c0_1(X109)
              | ~ c1_1(X109) ) )
        | hskp4
        | hskp19 )
      & ( ! [X110] :
            ( ndr1_0
           => ( c3_1(X110)
              | ~ c0_1(X110)
              | ~ c2_1(X110) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c0_1(X111)
              | ~ c1_1(X111)
              | ~ c2_1(X111) ) )
        | hskp17 )
      & ( ! [X112] :
            ( ndr1_0
           => ( c3_1(X112)
              | ~ c1_1(X112)
              | ~ c2_1(X112) ) )
        | hskp23
        | hskp4 )
      & ( ! [X113] :
            ( ndr1_0
           => ( ~ c0_1(X113)
              | ~ c1_1(X113)
              | ~ c2_1(X113) ) )
        | hskp9
        | hskp12 )
      & ( ! [X114] :
            ( ndr1_0
           => ( ~ c0_1(X114)
              | ~ c1_1(X114)
              | ~ c2_1(X114) ) )
        | hskp7 )
      & ( ! [X115] :
            ( ndr1_0
           => ( ~ c0_1(X115)
              | ~ c2_1(X115)
              | ~ c3_1(X115) ) )
        | hskp24
        | hskp3 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c2_1(X116)
              | ~ c3_1(X116) ) )
        | hskp26
        | hskp19 )
      & ( hskp29
        | hskp23
        | hskp13 )
      & ( hskp29
        | hskp12
        | hskp5 )
      & ( hskp29
        | hskp3
        | hskp26 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp7
        | hskp26 )
      & ( hskp22
        | hskp14
        | hskp12 )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( hskp24
        | hskp25
        | hskp19 ) ),
    file('/tmp/tmpQYzTAc/sel_SYN475+1.p_1',co1) ).

fof(2,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1000)
            & c2_1(a1000)
            & ~ c3_1(a1000) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a1001)
            & c3_1(a1001)
            & ~ c1_1(a1001) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a1002)
            & c2_1(a1002)
            & ~ c1_1(a1002) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1003)
            & ~ c0_1(a1003)
            & ~ c2_1(a1003) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1004)
            & c2_1(a1004)
            & ~ c3_1(a1004) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c1_1(a1005)
            & ~ c2_1(a1005)
            & ~ c3_1(a1005) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1006)
            & c3_1(a1006)
            & ~ c2_1(a1006) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a1008)
            & ~ c1_1(a1008)
            & ~ c3_1(a1008) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1010)
            & c3_1(a1010)
            & ~ c1_1(a1010) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a1011)
            & c1_1(a1011)
            & ~ c2_1(a1011) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1012)
            & ~ c1_1(a1012)
            & ~ c3_1(a1012) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a1015)
            & ~ c0_1(a1015)
            & ~ c1_1(a1015) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a1019)
            & c2_1(a1019)
            & ~ c0_1(a1019) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a1023)
            & ~ c1_1(a1023)
            & ~ c2_1(a1023) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a1025)
            & ~ c2_1(a1025)
            & ~ c3_1(a1025) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1026)
            & ~ c0_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a1030)
            & ~ c2_1(a1030)
            & ~ c3_1(a1030) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a1032)
            & c3_1(a1032)
            & ~ c0_1(a1032) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a1036)
            & c3_1(a1036)
            & ~ c2_1(a1036) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a1037)
            & ~ c1_1(a1037)
            & ~ c3_1(a1037) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a1038)
            & ~ c1_1(a1038)
            & ~ c2_1(a1038) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1041)
            & ~ c0_1(a1041)
            & ~ c3_1(a1041) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1043)
            & ~ c1_1(a1043)
            & ~ c2_1(a1043) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a1044)
            & c1_1(a1044)
            & ~ c3_1(a1044) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a1045)
            & c3_1(a1045)
            & ~ c0_1(a1045) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1048)
            & ~ c0_1(a1048)
            & ~ c3_1(a1048) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c3_1(a1052)
            & ~ c0_1(a1052)
            & ~ c2_1(a1052) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1029)
            & c2_1(a1029)
            & c3_1(a1029) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1033)
            & c1_1(a1033)
            & c2_1(a1033) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1040)
            & c1_1(a1040)
            & c3_1(a1040) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | hskp0
          | hskp1 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) )
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c0_1(X13)
                | ~ c3_1(X13) ) )
          | hskp4 )
        & ( ! [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)
                | c3_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | ~ c2_1(X18) ) )
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp6 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c3_1(X26)
                | ~ c0_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp0 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c3_1(X30) ) )
          | hskp7 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp4 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c2_1(X34) ) )
          | hskp8 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp9
          | hskp10 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | hskp8
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp11 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) )
          | hskp7 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp6 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | hskp6
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | hskp11 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp2
          | hskp1 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp13 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp8 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp14 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp15 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c3_1(X68)
                | ~ c1_1(X68) ) )
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp13 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp27 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) )
          | hskp16 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp12 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp17 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp28
          | hskp8 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp10
          | hskp18 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c2_1(X82) ) )
          | hskp19 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | hskp20 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) )
          | hskp10 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp29
          | hskp21 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp6 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp22 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | hskp23 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp24
          | hskp15 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | hskp3
          | hskp25 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c2_1(X102) ) )
          | hskp15 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp6 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp8
          | hskp26 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp6
          | hskp13 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c3_1(X107) ) )
          | hskp23
          | hskp3 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp6
          | hskp22 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | hskp4
          | hskp19 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp17 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp23
          | hskp4 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) )
          | hskp9
          | hskp12 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c2_1(X114) ) )
          | hskp7 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp24
          | hskp3 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp26
          | hskp19 )
        & ( hskp29
          | hskp23
          | hskp13 )
        & ( hskp29
          | hskp12
          | hskp5 )
        & ( hskp29
          | hskp3
          | hskp26 )
        & ( hskp23
          | hskp18
          | hskp20 )
        & ( hskp27
          | hskp6
          | hskp14 )
        & ( hskp27
          | hskp7
          | hskp26 )
        & ( hskp22
          | hskp14
          | hskp12 )
        & ( hskp4
          | hskp21
          | hskp7 )
        & ( hskp24
          | hskp25
          | hskp19 ) ),
    inference(assume_negation,[status(cth)],[1]) ).

fof(3,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c0_1(a1000)
            & c2_1(a1000)
            & ~ c3_1(a1000) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & c2_1(a1001)
            & c3_1(a1001)
            & ~ c1_1(a1001) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c0_1(a1002)
            & c2_1(a1002)
            & ~ c1_1(a1002) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & c1_1(a1003)
            & ~ c0_1(a1003)
            & ~ c2_1(a1003) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & c1_1(a1004)
            & c2_1(a1004)
            & ~ c3_1(a1004) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & ~ c1_1(a1005)
            & ~ c2_1(a1005)
            & ~ c3_1(a1005) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & c0_1(a1006)
            & c3_1(a1006)
            & ~ c2_1(a1006) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c2_1(a1008)
            & ~ c1_1(a1008)
            & ~ c3_1(a1008) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & c0_1(a1010)
            & c3_1(a1010)
            & ~ c1_1(a1010) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & c0_1(a1011)
            & c1_1(a1011)
            & ~ c2_1(a1011) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c0_1(a1012)
            & ~ c1_1(a1012)
            & ~ c3_1(a1012) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a1015)
            & ~ c0_1(a1015)
            & ~ c1_1(a1015) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a1019)
            & c2_1(a1019)
            & ~ c0_1(a1019) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & c3_1(a1023)
            & ~ c1_1(a1023)
            & ~ c2_1(a1023) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c0_1(a1025)
            & ~ c2_1(a1025)
            & ~ c3_1(a1025) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & c2_1(a1026)
            & ~ c0_1(a1026)
            & ~ c1_1(a1026) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & c1_1(a1030)
            & ~ c2_1(a1030)
            & ~ c3_1(a1030) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & c2_1(a1032)
            & c3_1(a1032)
            & ~ c0_1(a1032) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a1036)
            & c3_1(a1036)
            & ~ c2_1(a1036) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c0_1(a1037)
            & ~ c1_1(a1037)
            & ~ c3_1(a1037) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a1038)
            & ~ c1_1(a1038)
            & ~ c2_1(a1038) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c2_1(a1041)
            & ~ c0_1(a1041)
            & ~ c3_1(a1041) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a1043)
            & ~ c1_1(a1043)
            & ~ c2_1(a1043) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & c0_1(a1044)
            & c1_1(a1044)
            & ~ c3_1(a1044) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & c1_1(a1045)
            & c3_1(a1045)
            & ~ c0_1(a1045) ) )
        & ( ~ hskp25
          | ( ndr1_0
            & c1_1(a1048)
            & ~ c0_1(a1048)
            & ~ c3_1(a1048) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c3_1(a1052)
            & ~ c0_1(a1052)
            & ~ c2_1(a1052) ) )
        & ( ~ hskp27
          | ( ndr1_0
            & c0_1(a1029)
            & c2_1(a1029)
            & c3_1(a1029) ) )
        & ( ~ hskp28
          | ( ndr1_0
            & c0_1(a1033)
            & c1_1(a1033)
            & c2_1(a1033) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c0_1(a1040)
            & c1_1(a1040)
            & c3_1(a1040) ) )
        & ( ! [X1] :
              ( ndr1_0
             => ( c0_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c0_1(X2)
                | c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c0_1(X3)
                | c2_1(X3)
                | ~ c3_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | c1_1(X4)
                | c2_1(X4) ) )
          | hskp0
          | hskp1 )
        & ( ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c1_1(X5)
                | c3_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c1_1(X6)
                | c2_1(X6)
                | c3_1(X6) ) )
          | hskp2 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c1_1(X7)
                | ~ c2_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c0_1(X8)
                | ~ c2_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c2_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c2_1(X11)
                | c3_1(X11)
                | ~ c1_1(X11) ) )
          | hskp3 )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c1_1(X12)
                | ~ c2_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | ~ c0_1(X13)
                | ~ c3_1(X13) ) )
          | hskp4 )
        & ( ! [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)
                | c3_1(X16)
                | ~ c2_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c1_1(X18)
                | ~ c2_1(X18) ) )
          | hskp5 )
        & ( ! [X19] :
              ( ndr1_0
             => ( c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c0_1(X20)
                | c3_1(X20)
                | ~ c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c1_1(X21)
                | c2_1(X21)
                | c3_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( c0_1(X22)
                | c2_1(X22)
                | c3_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | ~ c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp6 )
        & ( ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c2_1(X24)
                | c3_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c3_1(X25)
                | ~ c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c3_1(X26)
                | ~ c0_1(X26) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c0_1(X27)
                | c2_1(X27)
                | ~ c1_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | ~ c1_1(X28)
                | ~ c2_1(X28) ) )
          | hskp0 )
        & ( ! [X29] :
              ( ndr1_0
             => ( c0_1(X29)
                | c2_1(X29)
                | ~ c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( c1_1(X30)
                | c2_1(X30)
                | ~ c3_1(X30) ) )
          | hskp7 )
        & ( ! [X31] :
              ( ndr1_0
             => ( c0_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( c1_1(X32)
                | c3_1(X32)
                | ~ c0_1(X32) ) )
          | hskp4 )
        & ( ! [X33] :
              ( ndr1_0
             => ( c0_1(X33)
                | c2_1(X33)
                | ~ c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c3_1(X34)
                | ~ c2_1(X34) ) )
          | hskp8 )
        & ( ! [X35] :
              ( ndr1_0
             => ( c0_1(X35)
                | c2_1(X35)
                | ~ c1_1(X35) ) )
          | hskp9
          | hskp10 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c0_1(X36)
                | c2_1(X36)
                | ~ c1_1(X36) ) )
          | hskp8
          | hskp7 )
        & ( ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c3_1(X37)
                | ~ c1_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c3_1(X38) ) )
          | hskp11 )
        & ( ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c3_1(X39)
                | ~ c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | c2_1(X40)
                | ~ c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c2_1(X41)
                | ~ c3_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | c3_1(X42)
                | ~ c1_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c1_1(X43)
                | c3_1(X43)
                | ~ c2_1(X43) ) )
          | hskp7 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c0_1(X44)
                | c3_1(X44)
                | ~ c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c0_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c3_1(X46)
                | ~ c0_1(X46)
                | ~ c2_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c3_1(X47)
                | ~ c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | ~ c2_1(X48)
                | ~ c3_1(X48) ) )
          | hskp6 )
        & ( ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c3_1(X49)
                | ~ c1_1(X49) ) )
          | hskp6
          | hskp12 )
        & ( ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | c3_1(X50)
                | ~ c2_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c0_1(X51)
                | ~ c2_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | c3_1(X52)
                | ~ c0_1(X52) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( c0_1(X53)
                | c3_1(X53)
                | ~ c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c1_1(X54)
                | ~ c0_1(X54)
                | ~ c3_1(X54) ) )
          | hskp11 )
        & ( ! [X55] :
              ( ndr1_0
             => ( c0_1(X55)
                | c3_1(X55)
                | ~ c2_1(X55) ) )
          | hskp2
          | hskp1 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | ~ c1_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c1_1(X57)
                | c2_1(X57)
                | ~ c3_1(X57) ) )
          | hskp13 )
        & ( ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c1_1(X59)
                | ~ c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp8 )
        & ( ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | ~ c0_1(X61)
                | ~ c3_1(X61) ) )
          | hskp14 )
        & ( ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( c0_1(X63)
                | ~ c2_1(X63)
                | ~ c3_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c2_1(X64)
                | ~ c3_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c1_1(X65)
                | ~ c3_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | ~ c0_1(X66)
                | ~ c3_1(X66) ) )
          | hskp15 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c0_1(X67)
                | ~ c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c2_1(X68)
                | c3_1(X68)
                | ~ c1_1(X68) ) )
          | hskp9 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c1_1(X69)
                | c2_1(X69)
                | c3_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( c1_1(X70)
                | c3_1(X70)
                | ~ c0_1(X70) ) )
          | hskp13 )
        & ( ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( c1_1(X72)
                | ~ c0_1(X72)
                | ~ c2_1(X72) ) )
          | hskp27 )
        & ( ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | c2_1(X73)
                | c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( c2_1(X74)
                | c3_1(X74)
                | ~ c1_1(X74) ) )
          | hskp16 )
        & ( ! [X75] :
              ( ndr1_0
             => ( c1_1(X75)
                | c2_1(X75)
                | c3_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c0_1(X76)
                | ~ c3_1(X76) ) )
          | hskp12 )
        & ( ! [X77] :
              ( ndr1_0
             => ( c1_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | ~ c0_1(X78)
                | ~ c1_1(X78) ) )
          | hskp17 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | c2_1(X79)
                | ~ c3_1(X79) ) )
          | hskp28
          | hskp8 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c1_1(X80)
                | c2_1(X80)
                | ~ c3_1(X80) ) )
          | hskp10
          | hskp18 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | c3_1(X81)
                | ~ c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c0_1(X82)
                | ~ c2_1(X82) ) )
          | hskp19 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c3_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c2_1(X84)
                | c3_1(X84)
                | ~ c0_1(X84) ) )
          | hskp20 )
        & ( ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | c3_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | ~ c1_1(X86)
                | ~ c2_1(X86) ) )
          | hskp10 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c3_1(X87)
                | ~ c0_1(X87) ) )
          | hskp29
          | hskp21 )
        & ( ! [X88] :
              ( ndr1_0
             => ( c1_1(X88)
                | ~ c0_1(X88)
                | ~ c2_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c2_1(X89)
                | ~ c3_1(X89) ) )
          | hskp6 )
        & ( ! [X90] :
              ( ndr1_0
             => ( c1_1(X90)
                | ~ c0_1(X90)
                | ~ c3_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c2_1(X91)
                | c3_1(X91)
                | ~ c1_1(X91) ) )
          | hskp22 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | ~ c3_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c0_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c2_1(X94)
                | ~ c3_1(X94) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( c1_1(X95)
                | ~ c0_1(X95)
                | ~ c3_1(X95) ) )
          | hskp23 )
        & ( ! [X96] :
              ( ndr1_0
             => ( c1_1(X96)
                | ~ c0_1(X96)
                | ~ c3_1(X96) ) )
          | hskp24
          | hskp15 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c1_1(X97)
                | ~ c2_1(X97)
                | ~ c3_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( c2_1(X98)
                | ~ c0_1(X98)
                | ~ c3_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( c3_1(X99)
                | ~ c1_1(X99)
                | ~ c2_1(X99) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( c2_1(X100)
                | c3_1(X100)
                | ~ c0_1(X100) ) )
          | hskp3
          | hskp25 )
        & ( ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c3_1(X101)
                | ~ c1_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | ~ c0_1(X102)
                | ~ c2_1(X102) ) )
          | hskp15 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c0_1(X103)
                | ~ c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c2_1(X104)
                | ~ c3_1(X104) ) )
          | hskp6 )
        & ( ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | ~ c0_1(X105)
                | ~ c1_1(X105) ) )
          | hskp8
          | hskp26 )
        & ( ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | ~ c0_1(X106)
                | ~ c1_1(X106) ) )
          | hskp6
          | hskp13 )
        & ( ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | ~ c0_1(X107)
                | ~ c3_1(X107) ) )
          | hskp23
          | hskp3 )
        & ( ! [X108] :
              ( ndr1_0
             => ( c2_1(X108)
                | ~ c1_1(X108)
                | ~ c3_1(X108) ) )
          | hskp6
          | hskp22 )
        & ( ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | ~ c0_1(X109)
                | ~ c1_1(X109) ) )
          | hskp4
          | hskp19 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | ~ c0_1(X110)
                | ~ c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c0_1(X111)
                | ~ c1_1(X111)
                | ~ c2_1(X111) ) )
          | hskp17 )
        & ( ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | ~ c1_1(X112)
                | ~ c2_1(X112) ) )
          | hskp23
          | hskp4 )
        & ( ! [X113] :
              ( ndr1_0
             => ( ~ c0_1(X113)
                | ~ c1_1(X113)
                | ~ c2_1(X113) ) )
          | hskp9
          | hskp12 )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c0_1(X114)
                | ~ c1_1(X114)
                | ~ c2_1(X114) ) )
          | hskp7 )
        & ( ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c2_1(X115)
                | ~ c3_1(X115) ) )
          | hskp24
          | hskp3 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c2_1(X116)
                | ~ c3_1(X116) ) )
          | hskp26
          | hskp19 )
        & ( hskp29
          | hskp23
          | hskp13 )
        & ( hskp29
          | hskp12
          | hskp5 )
        & ( hskp29
          | hskp3
          | hskp26 )
        & ( hskp23
          | hskp18
          | hskp20 )
        & ( hskp27
          | hskp6
          | hskp14 )
        & ( hskp27
          | hskp7
          | hskp26 )
        & ( hskp22
          | hskp14
          | hskp12 )
        & ( hskp4
          | hskp21
          | hskp7 )
        & ( hskp24
          | hskp25
          | hskp19 ) ),
    inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).

fof(4,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a1002)
        & c2_1(a1002)
        & ~ c1_1(a1002) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1003)
        & ~ c0_1(a1003)
        & ~ c2_1(a1003) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1004)
        & c2_1(a1004)
        & ~ c3_1(a1004) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1006)
        & c3_1(a1006)
        & ~ c2_1(a1006) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1008)
        & ~ c1_1(a1008)
        & ~ c3_1(a1008) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1011)
        & c1_1(a1011)
        & ~ c2_1(a1011) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1012)
        & ~ c1_1(a1012)
        & ~ c3_1(a1012) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015)
        & ~ c1_1(a1015) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1019)
        & c2_1(a1019)
        & ~ c0_1(a1019) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1023)
        & ~ c1_1(a1023)
        & ~ c2_1(a1023) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1025)
        & ~ c2_1(a1025)
        & ~ c3_1(a1025) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c0_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1030)
        & ~ c2_1(a1030)
        & ~ c3_1(a1030) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1032)
        & c3_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1036)
        & c3_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ~ c3_1(a1037) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1038)
        & ~ c1_1(a1038)
        & ~ c2_1(a1038) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1043)
        & ~ c1_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1044)
        & c1_1(a1044)
        & ~ c3_1(a1044) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1045)
        & c3_1(a1045)
        & ~ c0_1(a1045) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a1052)
        & ~ c0_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1029)
        & c2_1(a1029)
        & c3_1(a1029) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c2_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1040)
        & c1_1(a1040)
        & c3_1(a1040) ) )
    & ( ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | c1_1(X1)
          | c2_1(X1) )
      | ! [X2] :
          ( ~ ndr1_0
          | c0_1(X2)
          | c1_1(X2)
          | ~ c2_1(X2) )
      | ! [X3] :
          ( ~ ndr1_0
          | c0_1(X3)
          | c2_1(X3)
          | ~ c3_1(X3) ) )
    & ( ! [X4] :
          ( ~ ndr1_0
          | c0_1(X4)
          | c1_1(X4)
          | c2_1(X4) )
      | hskp0
      | hskp1 )
    & ( ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c1_1(X5)
          | c3_1(X5) )
      | ! [X6] :
          ( ~ ndr1_0
          | c1_1(X6)
          | c2_1(X6)
          | c3_1(X6) )
      | hskp2 )
    & ( ! [X7] :
          ( ~ ndr1_0
          | c0_1(X7)
          | c1_1(X7)
          | ~ c2_1(X7) )
      | ! [X8] :
          ( ~ ndr1_0
          | c1_1(X8)
          | ~ c0_1(X8)
          | ~ c2_1(X8) )
      | ! [X9] :
          ( ~ ndr1_0
          | c2_1(X9)
          | ~ c0_1(X9)
          | ~ c1_1(X9) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | c0_1(X10)
          | c1_1(X10)
          | ~ c2_1(X10) )
      | ! [X11] :
          ( ~ ndr1_0
          | c2_1(X11)
          | c3_1(X11)
          | ~ c1_1(X11) )
      | hskp3 )
    & ( ! [X12] :
          ( ~ ndr1_0
          | c0_1(X12)
          | c1_1(X12)
          | ~ c2_1(X12) )
      | ! [X13] :
          ( ~ ndr1_0
          | c2_1(X13)
          | ~ c0_1(X13)
          | ~ c3_1(X13) )
      | hskp4 )
    & ( ! [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)
          | c3_1(X16)
          | ~ c2_1(X16) ) )
    & ( ! [X17] :
          ( ~ ndr1_0
          | c0_1(X17)
          | c1_1(X17)
          | ~ c3_1(X17) )
      | ! [X18] :
          ( ~ ndr1_0
          | ~ c0_1(X18)
          | ~ c1_1(X18)
          | ~ c2_1(X18) )
      | hskp5 )
    & ( ! [X19] :
          ( ~ ndr1_0
          | c0_1(X19)
          | c2_1(X19)
          | c3_1(X19) )
      | ! [X20] :
          ( ~ ndr1_0
          | c0_1(X20)
          | c3_1(X20)
          | ~ c1_1(X20) )
      | ! [X21] :
          ( ~ ndr1_0
          | c1_1(X21)
          | c2_1(X21)
          | c3_1(X21) ) )
    & ( ! [X22] :
          ( ~ ndr1_0
          | c0_1(X22)
          | c2_1(X22)
          | c3_1(X22) )
      | ! [X23] :
          ( ~ ndr1_0
          | c0_1(X23)
          | ~ c2_1(X23)
          | ~ c3_1(X23) )
      | hskp6 )
    & ( ! [X24] :
          ( ~ ndr1_0
          | c0_1(X24)
          | c2_1(X24)
          | c3_1(X24) )
      | ! [X25] :
          ( ~ ndr1_0
          | c1_1(X25)
          | c3_1(X25)
          | ~ c2_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c2_1(X26)
          | c3_1(X26)
          | ~ c0_1(X26) ) )
    & ( ! [X27] :
          ( ~ ndr1_0
          | c0_1(X27)
          | c2_1(X27)
          | ~ c1_1(X27) )
      | ! [X28] :
          ( ~ ndr1_0
          | c0_1(X28)
          | ~ c1_1(X28)
          | ~ c2_1(X28) )
      | hskp0 )
    & ( ! [X29] :
          ( ~ ndr1_0
          | c0_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29) )
      | ! [X30] :
          ( ~ ndr1_0
          | c1_1(X30)
          | c2_1(X30)
          | ~ c3_1(X30) )
      | hskp7 )
    & ( ! [X31] :
          ( ~ ndr1_0
          | c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31) )
      | ! [X32] :
          ( ~ ndr1_0
          | c1_1(X32)
          | c3_1(X32)
          | ~ c0_1(X32) )
      | hskp4 )
    & ( ! [X33] :
          ( ~ ndr1_0
          | c0_1(X33)
          | c2_1(X33)
          | ~ c1_1(X33) )
      | ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | c3_1(X34)
          | ~ c2_1(X34) )
      | hskp8 )
    & ( ! [X35] :
          ( ~ ndr1_0
          | c0_1(X35)
          | c2_1(X35)
          | ~ c1_1(X35) )
      | hskp9
      | hskp10 )
    & ( ! [X36] :
          ( ~ ndr1_0
          | c0_1(X36)
          | c2_1(X36)
          | ~ c1_1(X36) )
      | hskp8
      | hskp7 )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | c3_1(X37)
          | ~ c1_1(X37) )
      | ! [X38] :
          ( ~ ndr1_0
          | c0_1(X38)
          | ~ c1_1(X38)
          | ~ c3_1(X38) )
      | hskp11 )
    & ( ! [X39] :
          ( ~ ndr1_0
          | c0_1(X39)
          | c3_1(X39)
          | ~ c1_1(X39) )
      | ! [X40] :
          ( ~ ndr1_0
          | c1_1(X40)
          | c2_1(X40)
          | ~ c3_1(X40) )
      | ! [X41] :
          ( ~ ndr1_0
          | ~ c1_1(X41)
          | ~ c2_1(X41)
          | ~ c3_1(X41) ) )
    & ( ! [X42] :
          ( ~ ndr1_0
          | c0_1(X42)
          | c3_1(X42)
          | ~ c1_1(X42) )
      | ! [X43] :
          ( ~ ndr1_0
          | c1_1(X43)
          | c3_1(X43)
          | ~ c2_1(X43) )
      | hskp7 )
    & ( ! [X44] :
          ( ~ ndr1_0
          | c0_1(X44)
          | c3_1(X44)
          | ~ c1_1(X44) )
      | ! [X45] :
          ( ~ ndr1_0
          | c1_1(X45)
          | ~ c0_1(X45)
          | ~ c3_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c3_1(X46)
          | ~ c0_1(X46)
          | ~ c2_1(X46) ) )
    & ( ! [X47] :
          ( ~ ndr1_0
          | c0_1(X47)
          | c3_1(X47)
          | ~ c1_1(X47) )
      | ! [X48] :
          ( ~ ndr1_0
          | ~ c0_1(X48)
          | ~ c2_1(X48)
          | ~ c3_1(X48) )
      | hskp6 )
    & ( ! [X49] :
          ( ~ ndr1_0
          | c0_1(X49)
          | c3_1(X49)
          | ~ c1_1(X49) )
      | hskp6
      | hskp12 )
    & ( ! [X50] :
          ( ~ ndr1_0
          | c0_1(X50)
          | c3_1(X50)
          | ~ c2_1(X50) )
      | ! [X51] :
          ( ~ ndr1_0
          | c1_1(X51)
          | ~ c0_1(X51)
          | ~ c2_1(X51) )
      | ! [X52] :
          ( ~ ndr1_0
          | c2_1(X52)
          | c3_1(X52)
          | ~ c0_1(X52) ) )
    & ( ! [X53] :
          ( ~ ndr1_0
          | c0_1(X53)
          | c3_1(X53)
          | ~ c2_1(X53) )
      | ! [X54] :
          ( ~ ndr1_0
          | c1_1(X54)
          | ~ c0_1(X54)
          | ~ c3_1(X54) )
      | hskp11 )
    & ( ! [X55] :
          ( ~ ndr1_0
          | c0_1(X55)
          | c3_1(X55)
          | ~ c2_1(X55) )
      | hskp2
      | hskp1 )
    & ( ! [X56] :
          ( ~ ndr1_0
          | c0_1(X56)
          | ~ c1_1(X56)
          | ~ c2_1(X56) )
      | ! [X57] :
          ( ~ ndr1_0
          | c1_1(X57)
          | c2_1(X57)
          | ~ c3_1(X57) )
      | hskp13 )
    & ( ! [X58] :
          ( ~ ndr1_0
          | c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58) )
      | ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | ~ c2_1(X59)
          | ~ c3_1(X59) )
      | hskp8 )
    & ( ! [X60] :
          ( ~ ndr1_0
          | c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60) )
      | ! [X61] :
          ( ~ ndr1_0
          | c2_1(X61)
          | ~ c0_1(X61)
          | ~ c3_1(X61) )
      | hskp14 )
    & ( ! [X62] :
          ( ~ ndr1_0
          | c0_1(X62)
          | ~ c1_1(X62)
          | ~ c3_1(X62) )
      | ! [X63] :
          ( ~ ndr1_0
          | c0_1(X63)
          | ~ c2_1(X63)
          | ~ c3_1(X63) )
      | ! [X64] :
          ( ~ ndr1_0
          | ~ c1_1(X64)
          | ~ c2_1(X64)
          | ~ c3_1(X64) ) )
    & ( ! [X65] :
          ( ~ ndr1_0
          | c0_1(X65)
          | ~ c1_1(X65)
          | ~ c3_1(X65) )
      | ! [X66] :
          ( ~ ndr1_0
          | c1_1(X66)
          | ~ c0_1(X66)
          | ~ c3_1(X66) )
      | hskp15 )
    & ( ! [X67] :
          ( ~ ndr1_0
          | c0_1(X67)
          | ~ c2_1(X67)
          | ~ c3_1(X67) )
      | ! [X68] :
          ( ~ ndr1_0
          | c2_1(X68)
          | c3_1(X68)
          | ~ c1_1(X68) )
      | hskp9 )
    & ( ! [X69] :
          ( ~ ndr1_0
          | c1_1(X69)
          | c2_1(X69)
          | c3_1(X69) )
      | ! [X70] :
          ( ~ ndr1_0
          | c1_1(X70)
          | c3_1(X70)
          | ~ c0_1(X70) )
      | hskp13 )
    & ( ! [X71] :
          ( ~ ndr1_0
          | c1_1(X71)
          | c2_1(X71)
          | c3_1(X71) )
      | ! [X72] :
          ( ~ ndr1_0
          | c1_1(X72)
          | ~ c0_1(X72)
          | ~ c2_1(X72) )
      | hskp27 )
    & ( ! [X73] :
          ( ~ ndr1_0
          | c1_1(X73)
          | c2_1(X73)
          | c3_1(X73) )
      | ! [X74] :
          ( ~ ndr1_0
          | c2_1(X74)
          | c3_1(X74)
          | ~ c1_1(X74) )
      | hskp16 )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c1_1(X75)
          | c2_1(X75)
          | c3_1(X75) )
      | ! [X76] :
          ( ~ ndr1_0
          | c2_1(X76)
          | ~ c0_1(X76)
          | ~ c3_1(X76) )
      | hskp12 )
    & ( ! [X77] :
          ( ~ ndr1_0
          | c1_1(X77)
          | c2_1(X77)
          | c3_1(X77) )
      | ! [X78] :
          ( ~ ndr1_0
          | c3_1(X78)
          | ~ c0_1(X78)
          | ~ c1_1(X78) )
      | hskp17 )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | c2_1(X79)
          | ~ c3_1(X79) )
      | hskp28
      | hskp8 )
    & ( ! [X80] :
          ( ~ ndr1_0
          | c1_1(X80)
          | c2_1(X80)
          | ~ c3_1(X80) )
      | hskp10
      | hskp18 )
    & ( ! [X81] :
          ( ~ ndr1_0
          | c1_1(X81)
          | c3_1(X81)
          | ~ c0_1(X81) )
      | ! [X82] :
          ( ~ ndr1_0
          | c1_1(X82)
          | ~ c0_1(X82)
          | ~ c2_1(X82) )
      | hskp19 )
    & ( ! [X83] :
          ( ~ ndr1_0
          | c1_1(X83)
          | c3_1(X83)
          | ~ c0_1(X83) )
      | ! [X84] :
          ( ~ ndr1_0
          | c2_1(X84)
          | c3_1(X84)
          | ~ c0_1(X84) )
      | hskp20 )
    & ( ! [X85] :
          ( ~ ndr1_0
          | c1_1(X85)
          | c3_1(X85)
          | ~ c0_1(X85) )
      | ! [X86] :
          ( ~ ndr1_0
          | c3_1(X86)
          | ~ c1_1(X86)
          | ~ c2_1(X86) )
      | hskp10 )
    & ( ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | c3_1(X87)
          | ~ c0_1(X87) )
      | hskp29
      | hskp21 )
    & ( ! [X88] :
          ( ~ ndr1_0
          | c1_1(X88)
          | ~ c0_1(X88)
          | ~ c2_1(X88) )
      | ! [X89] :
          ( ~ ndr1_0
          | c1_1(X89)
          | ~ c2_1(X89)
          | ~ c3_1(X89) )
      | hskp6 )
    & ( ! [X90] :
          ( ~ ndr1_0
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ c3_1(X90) )
      | ! [X91] :
          ( ~ ndr1_0
          | c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91) )
      | hskp22 )
    & ( ! [X92] :
          ( ~ ndr1_0
          | c1_1(X92)
          | ~ c0_1(X92)
          | ~ c3_1(X92) )
      | ! [X93] :
          ( ~ ndr1_0
          | c2_1(X93)
          | ~ c0_1(X93)
          | ~ c1_1(X93) )
      | ! [X94] :
          ( ~ ndr1_0
          | ~ c1_1(X94)
          | ~ c2_1(X94)
          | ~ c3_1(X94) ) )
    & ( ! [X95] :
          ( ~ ndr1_0
          | c1_1(X95)
          | ~ c0_1(X95)
          | ~ c3_1(X95) )
      | hskp23 )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c1_1(X96)
          | ~ c0_1(X96)
          | ~ c3_1(X96) )
      | hskp24
      | hskp15 )
    & ( ! [X97] :
          ( ~ ndr1_0
          | c1_1(X97)
          | ~ c2_1(X97)
          | ~ c3_1(X97) )
      | ! [X98] :
          ( ~ ndr1_0
          | c2_1(X98)
          | ~ c0_1(X98)
          | ~ c3_1(X98) )
      | ! [X99] :
          ( ~ ndr1_0
          | c3_1(X99)
          | ~ c1_1(X99)
          | ~ c2_1(X99) ) )
    & ( ! [X100] :
          ( ~ ndr1_0
          | c2_1(X100)
          | c3_1(X100)
          | ~ c0_1(X100) )
      | hskp3
      | hskp25 )
    & ( ! [X101] :
          ( ~ ndr1_0
          | c2_1(X101)
          | c3_1(X101)
          | ~ c1_1(X101) )
      | ! [X102] :
          ( ~ ndr1_0
          | c3_1(X102)
          | ~ c0_1(X102)
          | ~ c2_1(X102) )
      | hskp15 )
    & ( ! [X103] :
          ( ~ ndr1_0
          | c2_1(X103)
          | ~ c0_1(X103)
          | ~ c1_1(X103) )
      | ! [X104] :
          ( ~ ndr1_0
          | ~ c0_1(X104)
          | ~ c2_1(X104)
          | ~ c3_1(X104) )
      | hskp6 )
    & ( ! [X105] :
          ( ~ ndr1_0
          | c2_1(X105)
          | ~ c0_1(X105)
          | ~ c1_1(X105) )
      | hskp8
      | hskp26 )
    & ( ! [X106] :
          ( ~ ndr1_0
          | c2_1(X106)
          | ~ c0_1(X106)
          | ~ c1_1(X106) )
      | hskp6
      | hskp13 )
    & ( ! [X107] :
          ( ~ ndr1_0
          | c2_1(X107)
          | ~ c0_1(X107)
          | ~ c3_1(X107) )
      | hskp23
      | hskp3 )
    & ( ! [X108] :
          ( ~ ndr1_0
          | c2_1(X108)
          | ~ c1_1(X108)
          | ~ c3_1(X108) )
      | hskp6
      | hskp22 )
    & ( ! [X109] :
          ( ~ ndr1_0
          | c3_1(X109)
          | ~ c0_1(X109)
          | ~ c1_1(X109) )
      | hskp4
      | hskp19 )
    & ( ! [X110] :
          ( ~ ndr1_0
          | c3_1(X110)
          | ~ c0_1(X110)
          | ~ c2_1(X110) )
      | ! [X111] :
          ( ~ ndr1_0
          | ~ c0_1(X111)
          | ~ c1_1(X111)
          | ~ c2_1(X111) )
      | hskp17 )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c3_1(X112)
          | ~ c1_1(X112)
          | ~ c2_1(X112) )
      | hskp23
      | hskp4 )
    & ( ! [X113] :
          ( ~ ndr1_0
          | ~ c0_1(X113)
          | ~ c1_1(X113)
          | ~ c2_1(X113) )
      | hskp9
      | hskp12 )
    & ( ! [X114] :
          ( ~ ndr1_0
          | ~ c0_1(X114)
          | ~ c1_1(X114)
          | ~ c2_1(X114) )
      | hskp7 )
    & ( ! [X115] :
          ( ~ ndr1_0
          | ~ c0_1(X115)
          | ~ c2_1(X115)
          | ~ c3_1(X115) )
      | hskp24
      | hskp3 )
    & ( ! [X116] :
          ( ~ ndr1_0
          | ~ c0_1(X116)
          | ~ c2_1(X116)
          | ~ c3_1(X116) )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference(fof_nnf,[status(thm)],[3]) ).

fof(5,negated_conjecture,
    ( ( ~ hskp0
      | ( ndr1_0
        & c0_1(a1000)
        & c2_1(a1000)
        & ~ c3_1(a1000) ) )
    & ( ~ hskp1
      | ( ndr1_0
        & c2_1(a1001)
        & c3_1(a1001)
        & ~ c1_1(a1001) ) )
    & ( ~ hskp2
      | ( ndr1_0
        & c0_1(a1002)
        & c2_1(a1002)
        & ~ c1_1(a1002) ) )
    & ( ~ hskp3
      | ( ndr1_0
        & c1_1(a1003)
        & ~ c0_1(a1003)
        & ~ c2_1(a1003) ) )
    & ( ~ hskp4
      | ( ndr1_0
        & c1_1(a1004)
        & c2_1(a1004)
        & ~ c3_1(a1004) ) )
    & ( ~ hskp5
      | ( ndr1_0
        & ~ c1_1(a1005)
        & ~ c2_1(a1005)
        & ~ c3_1(a1005) ) )
    & ( ~ hskp6
      | ( ndr1_0
        & c0_1(a1006)
        & c3_1(a1006)
        & ~ c2_1(a1006) ) )
    & ( ~ hskp7
      | ( ndr1_0
        & c2_1(a1008)
        & ~ c1_1(a1008)
        & ~ c3_1(a1008) ) )
    & ( ~ hskp8
      | ( ndr1_0
        & c0_1(a1010)
        & c3_1(a1010)
        & ~ c1_1(a1010) ) )
    & ( ~ hskp9
      | ( ndr1_0
        & c0_1(a1011)
        & c1_1(a1011)
        & ~ c2_1(a1011) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & c0_1(a1012)
        & ~ c1_1(a1012)
        & ~ c3_1(a1012) ) )
    & ( ~ hskp11
      | ( ndr1_0
        & c3_1(a1015)
        & ~ c0_1(a1015)
        & ~ c1_1(a1015) ) )
    & ( ~ hskp12
      | ( ndr1_0
        & c1_1(a1019)
        & c2_1(a1019)
        & ~ c0_1(a1019) ) )
    & ( ~ hskp13
      | ( ndr1_0
        & c3_1(a1023)
        & ~ c1_1(a1023)
        & ~ c2_1(a1023) ) )
    & ( ~ hskp14
      | ( ndr1_0
        & c0_1(a1025)
        & ~ c2_1(a1025)
        & ~ c3_1(a1025) ) )
    & ( ~ hskp15
      | ( ndr1_0
        & c2_1(a1026)
        & ~ c0_1(a1026)
        & ~ c1_1(a1026) ) )
    & ( ~ hskp16
      | ( ndr1_0
        & c1_1(a1030)
        & ~ c2_1(a1030)
        & ~ c3_1(a1030) ) )
    & ( ~ hskp17
      | ( ndr1_0
        & c2_1(a1032)
        & c3_1(a1032)
        & ~ c0_1(a1032) ) )
    & ( ~ hskp18
      | ( ndr1_0
        & c1_1(a1036)
        & c3_1(a1036)
        & ~ c2_1(a1036) ) )
    & ( ~ hskp19
      | ( ndr1_0
        & ~ c0_1(a1037)
        & ~ c1_1(a1037)
        & ~ c3_1(a1037) ) )
    & ( ~ hskp20
      | ( ndr1_0
        & ~ c0_1(a1038)
        & ~ c1_1(a1038)
        & ~ c2_1(a1038) ) )
    & ( ~ hskp21
      | ( ndr1_0
        & c2_1(a1041)
        & ~ c0_1(a1041)
        & ~ c3_1(a1041) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a1043)
        & ~ c1_1(a1043)
        & ~ c2_1(a1043) ) )
    & ( ~ hskp23
      | ( ndr1_0
        & c0_1(a1044)
        & c1_1(a1044)
        & ~ c3_1(a1044) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & c1_1(a1045)
        & c3_1(a1045)
        & ~ c0_1(a1045) ) )
    & ( ~ hskp25
      | ( ndr1_0
        & c1_1(a1048)
        & ~ c0_1(a1048)
        & ~ c3_1(a1048) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c3_1(a1052)
        & ~ c0_1(a1052)
        & ~ c2_1(a1052) ) )
    & ( ~ hskp27
      | ( ndr1_0
        & c0_1(a1029)
        & c2_1(a1029)
        & c3_1(a1029) ) )
    & ( ~ hskp28
      | ( ndr1_0
        & c0_1(a1033)
        & c1_1(a1033)
        & c2_1(a1033) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c0_1(a1040)
        & c1_1(a1040)
        & c3_1(a1040) ) )
    & ( ! [X117] :
          ( ~ ndr1_0
          | c0_1(X117)
          | c1_1(X117)
          | c2_1(X117) )
      | ! [X118] :
          ( ~ ndr1_0
          | c0_1(X118)
          | c1_1(X118)
          | ~ c2_1(X118) )
      | ! [X119] :
          ( ~ ndr1_0
          | c0_1(X119)
          | c2_1(X119)
          | ~ c3_1(X119) ) )
    & ( ! [X120] :
          ( ~ ndr1_0
          | c0_1(X120)
          | c1_1(X120)
          | c2_1(X120) )
      | hskp0
      | hskp1 )
    & ( ! [X121] :
          ( ~ ndr1_0
          | c0_1(X121)
          | c1_1(X121)
          | c3_1(X121) )
      | ! [X122] :
          ( ~ ndr1_0
          | c1_1(X122)
          | c2_1(X122)
          | c3_1(X122) )
      | hskp2 )
    & ( ! [X123] :
          ( ~ ndr1_0
          | c0_1(X123)
          | c1_1(X123)
          | ~ c2_1(X123) )
      | ! [X124] :
          ( ~ ndr1_0
          | c1_1(X124)
          | ~ c0_1(X124)
          | ~ c2_1(X124) )
      | ! [X125] :
          ( ~ ndr1_0
          | c2_1(X125)
          | ~ c0_1(X125)
          | ~ c1_1(X125) ) )
    & ( ! [X126] :
          ( ~ ndr1_0
          | c0_1(X126)
          | c1_1(X126)
          | ~ c2_1(X126) )
      | ! [X127] :
          ( ~ ndr1_0
          | c2_1(X127)
          | c3_1(X127)
          | ~ c1_1(X127) )
      | hskp3 )
    & ( ! [X128] :
          ( ~ ndr1_0
          | c0_1(X128)
          | c1_1(X128)
          | ~ c2_1(X128) )
      | ! [X129] :
          ( ~ ndr1_0
          | c2_1(X129)
          | ~ c0_1(X129)
          | ~ c3_1(X129) )
      | hskp4 )
    & ( ! [X130] :
          ( ~ ndr1_0
          | c0_1(X130)
          | c1_1(X130)
          | ~ c3_1(X130) )
      | ! [X131] :
          ( ~ ndr1_0
          | c0_1(X131)
          | c2_1(X131)
          | ~ c3_1(X131) )
      | ! [X132] :
          ( ~ ndr1_0
          | c1_1(X132)
          | c3_1(X132)
          | ~ c2_1(X132) ) )
    & ( ! [X133] :
          ( ~ ndr1_0
          | c0_1(X133)
          | c1_1(X133)
          | ~ c3_1(X133) )
      | ! [X134] :
          ( ~ ndr1_0
          | ~ c0_1(X134)
          | ~ c1_1(X134)
          | ~ c2_1(X134) )
      | hskp5 )
    & ( ! [X135] :
          ( ~ ndr1_0
          | c0_1(X135)
          | c2_1(X135)
          | c3_1(X135) )
      | ! [X136] :
          ( ~ ndr1_0
          | c0_1(X136)
          | c3_1(X136)
          | ~ c1_1(X136) )
      | ! [X137] :
          ( ~ ndr1_0
          | c1_1(X137)
          | c2_1(X137)
          | c3_1(X137) ) )
    & ( ! [X138] :
          ( ~ ndr1_0
          | c0_1(X138)
          | c2_1(X138)
          | c3_1(X138) )
      | ! [X139] :
          ( ~ ndr1_0
          | c0_1(X139)
          | ~ c2_1(X139)
          | ~ c3_1(X139) )
      | hskp6 )
    & ( ! [X140] :
          ( ~ ndr1_0
          | c0_1(X140)
          | c2_1(X140)
          | c3_1(X140) )
      | ! [X141] :
          ( ~ ndr1_0
          | c1_1(X141)
          | c3_1(X141)
          | ~ c2_1(X141) )
      | ! [X142] :
          ( ~ ndr1_0
          | c2_1(X142)
          | c3_1(X142)
          | ~ c0_1(X142) ) )
    & ( ! [X143] :
          ( ~ ndr1_0
          | c0_1(X143)
          | c2_1(X143)
          | ~ c1_1(X143) )
      | ! [X144] :
          ( ~ ndr1_0
          | c0_1(X144)
          | ~ c1_1(X144)
          | ~ c2_1(X144) )
      | hskp0 )
    & ( ! [X145] :
          ( ~ ndr1_0
          | c0_1(X145)
          | c2_1(X145)
          | ~ c1_1(X145) )
      | ! [X146] :
          ( ~ ndr1_0
          | c1_1(X146)
          | c2_1(X146)
          | ~ c3_1(X146) )
      | hskp7 )
    & ( ! [X147] :
          ( ~ ndr1_0
          | c0_1(X147)
          | c2_1(X147)
          | ~ c1_1(X147) )
      | ! [X148] :
          ( ~ ndr1_0
          | c1_1(X148)
          | c3_1(X148)
          | ~ c0_1(X148) )
      | hskp4 )
    & ( ! [X149] :
          ( ~ ndr1_0
          | c0_1(X149)
          | c2_1(X149)
          | ~ c1_1(X149) )
      | ! [X150] :
          ( ~ ndr1_0
          | c1_1(X150)
          | c3_1(X150)
          | ~ c2_1(X150) )
      | hskp8 )
    & ( ! [X151] :
          ( ~ ndr1_0
          | c0_1(X151)
          | c2_1(X151)
          | ~ c1_1(X151) )
      | hskp9
      | hskp10 )
    & ( ! [X152] :
          ( ~ ndr1_0
          | c0_1(X152)
          | c2_1(X152)
          | ~ c1_1(X152) )
      | hskp8
      | hskp7 )
    & ( ! [X153] :
          ( ~ ndr1_0
          | c0_1(X153)
          | c3_1(X153)
          | ~ c1_1(X153) )
      | ! [X154] :
          ( ~ ndr1_0
          | c0_1(X154)
          | ~ c1_1(X154)
          | ~ c3_1(X154) )
      | hskp11 )
    & ( ! [X155] :
          ( ~ ndr1_0
          | c0_1(X155)
          | c3_1(X155)
          | ~ c1_1(X155) )
      | ! [X156] :
          ( ~ ndr1_0
          | c1_1(X156)
          | c2_1(X156)
          | ~ c3_1(X156) )
      | ! [X157] :
          ( ~ ndr1_0
          | ~ c1_1(X157)
          | ~ c2_1(X157)
          | ~ c3_1(X157) ) )
    & ( ! [X158] :
          ( ~ ndr1_0
          | c0_1(X158)
          | c3_1(X158)
          | ~ c1_1(X158) )
      | ! [X159] :
          ( ~ ndr1_0
          | c1_1(X159)
          | c3_1(X159)
          | ~ c2_1(X159) )
      | hskp7 )
    & ( ! [X160] :
          ( ~ ndr1_0
          | c0_1(X160)
          | c3_1(X160)
          | ~ c1_1(X160) )
      | ! [X161] :
          ( ~ ndr1_0
          | c1_1(X161)
          | ~ c0_1(X161)
          | ~ c3_1(X161) )
      | ! [X162] :
          ( ~ ndr1_0
          | c3_1(X162)
          | ~ c0_1(X162)
          | ~ c2_1(X162) ) )
    & ( ! [X163] :
          ( ~ ndr1_0
          | c0_1(X163)
          | c3_1(X163)
          | ~ c1_1(X163) )
      | ! [X164] :
          ( ~ ndr1_0
          | ~ c0_1(X164)
          | ~ c2_1(X164)
          | ~ c3_1(X164) )
      | hskp6 )
    & ( ! [X165] :
          ( ~ ndr1_0
          | c0_1(X165)
          | c3_1(X165)
          | ~ c1_1(X165) )
      | hskp6
      | hskp12 )
    & ( ! [X166] :
          ( ~ ndr1_0
          | c0_1(X166)
          | c3_1(X166)
          | ~ c2_1(X166) )
      | ! [X167] :
          ( ~ ndr1_0
          | c1_1(X167)
          | ~ c0_1(X167)
          | ~ c2_1(X167) )
      | ! [X168] :
          ( ~ ndr1_0
          | c2_1(X168)
          | c3_1(X168)
          | ~ c0_1(X168) ) )
    & ( ! [X169] :
          ( ~ ndr1_0
          | c0_1(X169)
          | c3_1(X169)
          | ~ c2_1(X169) )
      | ! [X170] :
          ( ~ ndr1_0
          | c1_1(X170)
          | ~ c0_1(X170)
          | ~ c3_1(X170) )
      | hskp11 )
    & ( ! [X171] :
          ( ~ ndr1_0
          | c0_1(X171)
          | c3_1(X171)
          | ~ c2_1(X171) )
      | hskp2
      | hskp1 )
    & ( ! [X172] :
          ( ~ ndr1_0
          | c0_1(X172)
          | ~ c1_1(X172)
          | ~ c2_1(X172) )
      | ! [X173] :
          ( ~ ndr1_0
          | c1_1(X173)
          | c2_1(X173)
          | ~ c3_1(X173) )
      | hskp13 )
    & ( ! [X174] :
          ( ~ ndr1_0
          | c0_1(X174)
          | ~ c1_1(X174)
          | ~ c2_1(X174) )
      | ! [X175] :
          ( ~ ndr1_0
          | c1_1(X175)
          | ~ c2_1(X175)
          | ~ c3_1(X175) )
      | hskp8 )
    & ( ! [X176] :
          ( ~ ndr1_0
          | c0_1(X176)
          | ~ c1_1(X176)
          | ~ c2_1(X176) )
      | ! [X177] :
          ( ~ ndr1_0
          | c2_1(X177)
          | ~ c0_1(X177)
          | ~ c3_1(X177) )
      | hskp14 )
    & ( ! [X178] :
          ( ~ ndr1_0
          | c0_1(X178)
          | ~ c1_1(X178)
          | ~ c3_1(X178) )
      | ! [X179] :
          ( ~ ndr1_0
          | c0_1(X179)
          | ~ c2_1(X179)
          | ~ c3_1(X179) )
      | ! [X180] :
          ( ~ ndr1_0
          | ~ c1_1(X180)
          | ~ c2_1(X180)
          | ~ c3_1(X180) ) )
    & ( ! [X181] :
          ( ~ ndr1_0
          | c0_1(X181)
          | ~ c1_1(X181)
          | ~ c3_1(X181) )
      | ! [X182] :
          ( ~ ndr1_0
          | c1_1(X182)
          | ~ c0_1(X182)
          | ~ c3_1(X182) )
      | hskp15 )
    & ( ! [X183] :
          ( ~ ndr1_0
          | c0_1(X183)
          | ~ c2_1(X183)
          | ~ c3_1(X183) )
      | ! [X184] :
          ( ~ ndr1_0
          | c2_1(X184)
          | c3_1(X184)
          | ~ c1_1(X184) )
      | hskp9 )
    & ( ! [X185] :
          ( ~ ndr1_0
          | c1_1(X185)
          | c2_1(X185)
          | c3_1(X185) )
      | ! [X186] :
          ( ~ ndr1_0
          | c1_1(X186)
          | c3_1(X186)
          | ~ c0_1(X186) )
      | hskp13 )
    & ( ! [X187] :
          ( ~ ndr1_0
          | c1_1(X187)
          | c2_1(X187)
          | c3_1(X187) )
      | ! [X188] :
          ( ~ ndr1_0
          | c1_1(X188)
          | ~ c0_1(X188)
          | ~ c2_1(X188) )
      | hskp27 )
    & ( ! [X189] :
          ( ~ ndr1_0
          | c1_1(X189)
          | c2_1(X189)
          | c3_1(X189) )
      | ! [X190] :
          ( ~ ndr1_0
          | c2_1(X190)
          | c3_1(X190)
          | ~ c1_1(X190) )
      | hskp16 )
    & ( ! [X191] :
          ( ~ ndr1_0
          | c1_1(X191)
          | c2_1(X191)
          | c3_1(X191) )
      | ! [X192] :
          ( ~ ndr1_0
          | c2_1(X192)
          | ~ c0_1(X192)
          | ~ c3_1(X192) )
      | hskp12 )
    & ( ! [X193] :
          ( ~ ndr1_0
          | c1_1(X193)
          | c2_1(X193)
          | c3_1(X193) )
      | ! [X194] :
          ( ~ ndr1_0
          | c3_1(X194)
          | ~ c0_1(X194)
          | ~ c1_1(X194) )
      | hskp17 )
    & ( ! [X195] :
          ( ~ ndr1_0
          | c1_1(X195)
          | c2_1(X195)
          | ~ c3_1(X195) )
      | hskp28
      | hskp8 )
    & ( ! [X196] :
          ( ~ ndr1_0
          | c1_1(X196)
          | c2_1(X196)
          | ~ c3_1(X196) )
      | hskp10
      | hskp18 )
    & ( ! [X197] :
          ( ~ ndr1_0
          | c1_1(X197)
          | c3_1(X197)
          | ~ c0_1(X197) )
      | ! [X198] :
          ( ~ ndr1_0
          | c1_1(X198)
          | ~ c0_1(X198)
          | ~ c2_1(X198) )
      | hskp19 )
    & ( ! [X199] :
          ( ~ ndr1_0
          | c1_1(X199)
          | c3_1(X199)
          | ~ c0_1(X199) )
      | ! [X200] :
          ( ~ ndr1_0
          | c2_1(X200)
          | c3_1(X200)
          | ~ c0_1(X200) )
      | hskp20 )
    & ( ! [X201] :
          ( ~ ndr1_0
          | c1_1(X201)
          | c3_1(X201)
          | ~ c0_1(X201) )
      | ! [X202] :
          ( ~ ndr1_0
          | c3_1(X202)
          | ~ c1_1(X202)
          | ~ c2_1(X202) )
      | hskp10 )
    & ( ! [X203] :
          ( ~ ndr1_0
          | c1_1(X203)
          | c3_1(X203)
          | ~ c0_1(X203) )
      | hskp29
      | hskp21 )
    & ( ! [X204] :
          ( ~ ndr1_0
          | c1_1(X204)
          | ~ c0_1(X204)
          | ~ c2_1(X204) )
      | ! [X205] :
          ( ~ ndr1_0
          | c1_1(X205)
          | ~ c2_1(X205)
          | ~ c3_1(X205) )
      | hskp6 )
    & ( ! [X206] :
          ( ~ ndr1_0
          | c1_1(X206)
          | ~ c0_1(X206)
          | ~ c3_1(X206) )
      | ! [X207] :
          ( ~ ndr1_0
          | c2_1(X207)
          | c3_1(X207)
          | ~ c1_1(X207) )
      | hskp22 )
    & ( ! [X208] :
          ( ~ ndr1_0
          | c1_1(X208)
          | ~ c0_1(X208)
          | ~ c3_1(X208) )
      | ! [X209] :
          ( ~ ndr1_0
          | c2_1(X209)
          | ~ c0_1(X209)
          | ~ c1_1(X209) )
      | ! [X210] :
          ( ~ ndr1_0
          | ~ c1_1(X210)
          | ~ c2_1(X210)
          | ~ c3_1(X210) ) )
    & ( ! [X211] :
          ( ~ ndr1_0
          | c1_1(X211)
          | ~ c0_1(X211)
          | ~ c3_1(X211) )
      | hskp23 )
    & ( ! [X212] :
          ( ~ ndr1_0
          | c1_1(X212)
          | ~ c0_1(X212)
          | ~ c3_1(X212) )
      | hskp24
      | hskp15 )
    & ( ! [X213] :
          ( ~ ndr1_0
          | c1_1(X213)
          | ~ c2_1(X213)
          | ~ c3_1(X213) )
      | ! [X214] :
          ( ~ ndr1_0
          | c2_1(X214)
          | ~ c0_1(X214)
          | ~ c3_1(X214) )
      | ! [X215] :
          ( ~ ndr1_0
          | c3_1(X215)
          | ~ c1_1(X215)
          | ~ c2_1(X215) ) )
    & ( ! [X216] :
          ( ~ ndr1_0
          | c2_1(X216)
          | c3_1(X216)
          | ~ c0_1(X216) )
      | hskp3
      | hskp25 )
    & ( ! [X217] :
          ( ~ ndr1_0
          | c2_1(X217)
          | c3_1(X217)
          | ~ c1_1(X217) )
      | ! [X218] :
          ( ~ ndr1_0
          | c3_1(X218)
          | ~ c0_1(X218)
          | ~ c2_1(X218) )
      | hskp15 )
    & ( ! [X219] :
          ( ~ ndr1_0
          | c2_1(X219)
          | ~ c0_1(X219)
          | ~ c1_1(X219) )
      | ! [X220] :
          ( ~ ndr1_0
          | ~ c0_1(X220)
          | ~ c2_1(X220)
          | ~ c3_1(X220) )
      | hskp6 )
    & ( ! [X221] :
          ( ~ ndr1_0
          | c2_1(X221)
          | ~ c0_1(X221)
          | ~ c1_1(X221) )
      | hskp8
      | hskp26 )
    & ( ! [X222] :
          ( ~ ndr1_0
          | c2_1(X222)
          | ~ c0_1(X222)
          | ~ c1_1(X222) )
      | hskp6
      | hskp13 )
    & ( ! [X223] :
          ( ~ ndr1_0
          | c2_1(X223)
          | ~ c0_1(X223)
          | ~ c3_1(X223) )
      | hskp23
      | hskp3 )
    & ( ! [X224] :
          ( ~ ndr1_0
          | c2_1(X224)
          | ~ c1_1(X224)
          | ~ c3_1(X224) )
      | hskp6
      | hskp22 )
    & ( ! [X225] :
          ( ~ ndr1_0
          | c3_1(X225)
          | ~ c0_1(X225)
          | ~ c1_1(X225) )
      | hskp4
      | hskp19 )
    & ( ! [X226] :
          ( ~ ndr1_0
          | c3_1(X226)
          | ~ c0_1(X226)
          | ~ c2_1(X226) )
      | ! [X227] :
          ( ~ ndr1_0
          | ~ c0_1(X227)
          | ~ c1_1(X227)
          | ~ c2_1(X227) )
      | hskp17 )
    & ( ! [X228] :
          ( ~ ndr1_0
          | c3_1(X228)
          | ~ c1_1(X228)
          | ~ c2_1(X228) )
      | hskp23
      | hskp4 )
    & ( ! [X229] :
          ( ~ ndr1_0
          | ~ c0_1(X229)
          | ~ c1_1(X229)
          | ~ c2_1(X229) )
      | hskp9
      | hskp12 )
    & ( ! [X230] :
          ( ~ ndr1_0
          | ~ c0_1(X230)
          | ~ c1_1(X230)
          | ~ c2_1(X230) )
      | hskp7 )
    & ( ! [X231] :
          ( ~ ndr1_0
          | ~ c0_1(X231)
          | ~ c2_1(X231)
          | ~ c3_1(X231) )
      | hskp24
      | hskp3 )
    & ( ! [X232] :
          ( ~ ndr1_0
          | ~ c0_1(X232)
          | ~ c2_1(X232)
          | ~ c3_1(X232) )
      | hskp26
      | hskp19 )
    & ( hskp29
      | hskp23
      | hskp13 )
    & ( hskp29
      | hskp12
      | hskp5 )
    & ( hskp29
      | hskp3
      | hskp26 )
    & ( hskp23
      | hskp18
      | hskp20 )
    & ( hskp27
      | hskp6
      | hskp14 )
    & ( hskp27
      | hskp7
      | hskp26 )
    & ( hskp22
      | hskp14
      | hskp12 )
    & ( hskp4
      | hskp21
      | hskp7 )
    & ( hskp24
      | hskp25
      | hskp19 ) ),
    inference(variable_rename,[status(thm)],[4]) ).

fof(6,negated_conjecture,
    ! [X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232] :
      ( ( ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c2_1(X232)
        | ~ c3_1(X232)
        | hskp26
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X231)
        | ~ c2_1(X231)
        | ~ c3_1(X231)
        | hskp24
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | ~ c2_1(X230)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | hskp9
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | hskp23
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X227)
        | ~ c1_1(X227)
        | ~ c2_1(X227)
        | ~ ndr1_0
        | c3_1(X226)
        | ~ c0_1(X226)
        | ~ c2_1(X226)
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X225)
        | ~ c0_1(X225)
        | ~ c1_1(X225)
        | hskp4
        | hskp19 )
      & ( ~ ndr1_0
        | c2_1(X224)
        | ~ c1_1(X224)
        | ~ c3_1(X224)
        | hskp6
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c0_1(X223)
        | ~ c3_1(X223)
        | hskp23
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X222)
        | ~ c0_1(X222)
        | ~ c1_1(X222)
        | hskp6
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X221)
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | hskp8
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c2_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X218)
        | ~ c0_1(X218)
        | ~ c2_1(X218)
        | ~ ndr1_0
        | c2_1(X217)
        | c3_1(X217)
        | ~ c1_1(X217)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X216)
        | c3_1(X216)
        | ~ c0_1(X216)
        | hskp3
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X215)
        | ~ c1_1(X215)
        | ~ c2_1(X215)
        | ~ ndr1_0
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ c3_1(X214)
        | ~ ndr1_0
        | c1_1(X213)
        | ~ c2_1(X213)
        | ~ c3_1(X213) )
      & ( ~ ndr1_0
        | c1_1(X212)
        | ~ c0_1(X212)
        | ~ c3_1(X212)
        | hskp24
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X211)
        | ~ c0_1(X211)
        | ~ c3_1(X211)
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c1_1(X210)
        | ~ c2_1(X210)
        | ~ c3_1(X210)
        | ~ ndr1_0
        | c2_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | ~ c0_1(X208)
        | ~ c3_1(X208) )
      & ( ~ ndr1_0
        | c2_1(X207)
        | c3_1(X207)
        | ~ c1_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c3_1(X206)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c2_1(X205)
        | ~ c3_1(X205)
        | ~ ndr1_0
        | c1_1(X204)
        | ~ c0_1(X204)
        | ~ c2_1(X204)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X203)
        | c3_1(X203)
        | ~ c0_1(X203)
        | hskp29
        | hskp21 )
      & ( ~ ndr1_0
        | c3_1(X202)
        | ~ c1_1(X202)
        | ~ c2_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c0_1(X201)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X200)
        | c3_1(X200)
        | ~ c0_1(X200)
        | ~ ndr1_0
        | c1_1(X199)
        | c3_1(X199)
        | ~ c0_1(X199)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X198)
        | ~ c0_1(X198)
        | ~ c2_1(X198)
        | ~ ndr1_0
        | c1_1(X197)
        | c3_1(X197)
        | ~ c0_1(X197)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c2_1(X196)
        | ~ c3_1(X196)
        | hskp10
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | c2_1(X195)
        | ~ c3_1(X195)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c3_1(X194)
        | ~ c0_1(X194)
        | ~ c1_1(X194)
        | ~ ndr1_0
        | c1_1(X193)
        | c2_1(X193)
        | c3_1(X193)
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X192)
        | ~ c0_1(X192)
        | ~ c3_1(X192)
        | ~ ndr1_0
        | c1_1(X191)
        | c2_1(X191)
        | c3_1(X191)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X190)
        | c3_1(X190)
        | ~ c1_1(X190)
        | ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | c3_1(X189)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X188)
        | ~ c0_1(X188)
        | ~ c2_1(X188)
        | ~ ndr1_0
        | c1_1(X187)
        | c2_1(X187)
        | c3_1(X187)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X186)
        | c3_1(X186)
        | ~ c0_1(X186)
        | ~ ndr1_0
        | c1_1(X185)
        | c2_1(X185)
        | c3_1(X185)
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X184)
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X182)
        | ~ c0_1(X182)
        | ~ c3_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | ~ c1_1(X181)
        | ~ c3_1(X181)
        | hskp15 )
      & ( ~ ndr1_0
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0
        | c0_1(X179)
        | ~ c2_1(X179)
        | ~ c3_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | ~ c1_1(X178)
        | ~ c3_1(X178) )
      & ( ~ ndr1_0
        | c2_1(X177)
        | ~ c0_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | ~ c1_1(X176)
        | ~ c2_1(X176)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X175)
        | ~ c2_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | c0_1(X174)
        | ~ c1_1(X174)
        | ~ c2_1(X174)
        | hskp8 )
      & ( ~ ndr1_0
        | c1_1(X173)
        | c2_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c2_1(X172)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | c3_1(X171)
        | ~ c2_1(X171)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c0_1(X169)
        | c3_1(X169)
        | ~ c2_1(X169)
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X168)
        | c3_1(X168)
        | ~ c0_1(X168)
        | ~ ndr1_0
        | c1_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | c3_1(X166)
        | ~ c2_1(X166) )
      & ( ~ ndr1_0
        | c0_1(X165)
        | c3_1(X165)
        | ~ c1_1(X165)
        | hskp6
        | hskp12 )
      & ( ~ ndr1_0
        | ~ c0_1(X164)
        | ~ c2_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | c3_1(X163)
        | ~ c1_1(X163)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X162)
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | ~ ndr1_0
        | c1_1(X161)
        | ~ c0_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c3_1(X160)
        | ~ c1_1(X160) )
      & ( ~ ndr1_0
        | c1_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c3_1(X158)
        | ~ c1_1(X158)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ c3_1(X157)
        | ~ ndr1_0
        | c1_1(X156)
        | c2_1(X156)
        | ~ c3_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c3_1(X155)
        | ~ c1_1(X155) )
      & ( ~ ndr1_0
        | c0_1(X154)
        | ~ c1_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c3_1(X153)
        | ~ c1_1(X153)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp8
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c2_1(X151)
        | ~ c1_1(X151)
        | hskp9
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X150)
        | c3_1(X150)
        | ~ c2_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c1_1(X149)
        | hskp8 )
      & ( ~ ndr1_0
        | c1_1(X148)
        | c3_1(X148)
        | ~ c0_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c1_1(X147)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X146)
        | c2_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | ~ c1_1(X145)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | ~ c1_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | c2_1(X143)
        | ~ c1_1(X143)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X142)
        | c3_1(X142)
        | ~ c0_1(X142)
        | ~ ndr1_0
        | c1_1(X141)
        | c3_1(X141)
        | ~ c2_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)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X137)
        | c2_1(X137)
        | c3_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c3_1(X136)
        | ~ c1_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | c3_1(X135) )
      & ( ~ ndr1_0
        | ~ c0_1(X134)
        | ~ c1_1(X134)
        | ~ c2_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c3_1(X133)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X132)
        | c3_1(X132)
        | ~ c2_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c2_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | ~ c3_1(X130) )
      & ( ~ ndr1_0
        | c2_1(X129)
        | ~ c0_1(X129)
        | ~ c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X127)
        | c3_1(X127)
        | ~ c1_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | ~ c2_1(X126)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c0_1(X125)
        | ~ c1_1(X125)
        | ~ ndr1_0
        | c1_1(X124)
        | ~ c0_1(X124)
        | ~ c2_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | ~ c2_1(X123) )
      & ( ~ ndr1_0
        | c1_1(X122)
        | c2_1(X122)
        | c3_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c1_1(X121)
        | c3_1(X121)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120)
        | hskp0
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c1_1(X118)
        | ~ c2_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | c2_1(X117) )
      & ( ~ hskp0
        | ( ndr1_0
          & c0_1(a1000)
          & c2_1(a1000)
          & ~ c3_1(a1000) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & c2_1(a1001)
          & c3_1(a1001)
          & ~ c1_1(a1001) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c0_1(a1002)
          & c2_1(a1002)
          & ~ c1_1(a1002) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & c1_1(a1003)
          & ~ c0_1(a1003)
          & ~ c2_1(a1003) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & c1_1(a1004)
          & c2_1(a1004)
          & ~ c3_1(a1004) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & ~ c1_1(a1005)
          & ~ c2_1(a1005)
          & ~ c3_1(a1005) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & c0_1(a1006)
          & c3_1(a1006)
          & ~ c2_1(a1006) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c2_1(a1008)
          & ~ c1_1(a1008)
          & ~ c3_1(a1008) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & c0_1(a1010)
          & c3_1(a1010)
          & ~ c1_1(a1010) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & c0_1(a1011)
          & c1_1(a1011)
          & ~ c2_1(a1011) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c0_1(a1012)
          & ~ c1_1(a1012)
          & ~ c3_1(a1012) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a1015)
          & ~ c0_1(a1015)
          & ~ c1_1(a1015) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a1019)
          & c2_1(a1019)
          & ~ c0_1(a1019) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & c3_1(a1023)
          & ~ c1_1(a1023)
          & ~ c2_1(a1023) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c0_1(a1025)
          & ~ c2_1(a1025)
          & ~ c3_1(a1025) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & c2_1(a1026)
          & ~ c0_1(a1026)
          & ~ c1_1(a1026) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & c1_1(a1030)
          & ~ c2_1(a1030)
          & ~ c3_1(a1030) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & c2_1(a1032)
          & c3_1(a1032)
          & ~ c0_1(a1032) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a1036)
          & c3_1(a1036)
          & ~ c2_1(a1036) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c0_1(a1037)
          & ~ c1_1(a1037)
          & ~ c3_1(a1037) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a1038)
          & ~ c1_1(a1038)
          & ~ c2_1(a1038) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c2_1(a1041)
          & ~ c0_1(a1041)
          & ~ c3_1(a1041) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a1043)
          & ~ c1_1(a1043)
          & ~ c2_1(a1043) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & c0_1(a1044)
          & c1_1(a1044)
          & ~ c3_1(a1044) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & c1_1(a1045)
          & c3_1(a1045)
          & ~ c0_1(a1045) ) )
      & ( ~ hskp25
        | ( ndr1_0
          & c1_1(a1048)
          & ~ c0_1(a1048)
          & ~ c3_1(a1048) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c3_1(a1052)
          & ~ c0_1(a1052)
          & ~ c2_1(a1052) ) )
      & ( ~ hskp27
        | ( ndr1_0
          & c0_1(a1029)
          & c2_1(a1029)
          & c3_1(a1029) ) )
      & ( ~ hskp28
        | ( ndr1_0
          & c0_1(a1033)
          & c1_1(a1033)
          & c2_1(a1033) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c0_1(a1040)
          & c1_1(a1040)
          & c3_1(a1040) ) )
      & ( hskp29
        | hskp23
        | hskp13 )
      & ( hskp29
        | hskp12
        | hskp5 )
      & ( hskp29
        | hskp3
        | hskp26 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp7
        | hskp26 )
      & ( hskp22
        | hskp14
        | hskp12 )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( hskp24
        | hskp25
        | hskp19 ) ),
    inference(shift_quantors,[status(thm)],[5]) ).

fof(7,negated_conjecture,
    ! [X117,X118,X119,X120,X121,X122,X123,X124,X125,X126,X127,X128,X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140,X141,X142,X143,X144,X145,X146,X147,X148,X149,X150,X151,X152,X153,X154,X155,X156,X157,X158,X159,X160,X161,X162,X163,X164,X165,X166,X167,X168,X169,X170,X171,X172,X173,X174,X175,X176,X177,X178,X179,X180,X181,X182,X183,X184,X185,X186,X187,X188,X189,X190,X191,X192,X193,X194,X195,X196,X197,X198,X199,X200,X201,X202,X203,X204,X205,X206,X207,X208,X209,X210,X211,X212,X213,X214,X215,X216,X217,X218,X219,X220,X221,X222,X223,X224,X225,X226,X227,X228,X229,X230,X231,X232] :
      ( ( ~ ndr1_0
        | ~ c0_1(X232)
        | ~ c2_1(X232)
        | ~ c3_1(X232)
        | hskp26
        | hskp19 )
      & ( ~ ndr1_0
        | ~ c0_1(X231)
        | ~ c2_1(X231)
        | ~ c3_1(X231)
        | hskp24
        | hskp3 )
      & ( ~ ndr1_0
        | ~ c0_1(X230)
        | ~ c1_1(X230)
        | ~ c2_1(X230)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c0_1(X229)
        | ~ c1_1(X229)
        | ~ c2_1(X229)
        | hskp9
        | hskp12 )
      & ( ~ ndr1_0
        | c3_1(X228)
        | ~ c1_1(X228)
        | ~ c2_1(X228)
        | hskp23
        | hskp4 )
      & ( ~ ndr1_0
        | ~ c0_1(X227)
        | ~ c1_1(X227)
        | ~ c2_1(X227)
        | ~ ndr1_0
        | c3_1(X226)
        | ~ c0_1(X226)
        | ~ c2_1(X226)
        | hskp17 )
      & ( ~ ndr1_0
        | c3_1(X225)
        | ~ c0_1(X225)
        | ~ c1_1(X225)
        | hskp4
        | hskp19 )
      & ( ~ ndr1_0
        | c2_1(X224)
        | ~ c1_1(X224)
        | ~ c3_1(X224)
        | hskp6
        | hskp22 )
      & ( ~ ndr1_0
        | c2_1(X223)
        | ~ c0_1(X223)
        | ~ c3_1(X223)
        | hskp23
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X222)
        | ~ c0_1(X222)
        | ~ c1_1(X222)
        | hskp6
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X221)
        | ~ c0_1(X221)
        | ~ c1_1(X221)
        | hskp8
        | hskp26 )
      & ( ~ ndr1_0
        | ~ c0_1(X220)
        | ~ c2_1(X220)
        | ~ c3_1(X220)
        | ~ ndr1_0
        | c2_1(X219)
        | ~ c0_1(X219)
        | ~ c1_1(X219)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X218)
        | ~ c0_1(X218)
        | ~ c2_1(X218)
        | ~ ndr1_0
        | c2_1(X217)
        | c3_1(X217)
        | ~ c1_1(X217)
        | hskp15 )
      & ( ~ ndr1_0
        | c2_1(X216)
        | c3_1(X216)
        | ~ c0_1(X216)
        | hskp3
        | hskp25 )
      & ( ~ ndr1_0
        | c3_1(X215)
        | ~ c1_1(X215)
        | ~ c2_1(X215)
        | ~ ndr1_0
        | c2_1(X214)
        | ~ c0_1(X214)
        | ~ c3_1(X214)
        | ~ ndr1_0
        | c1_1(X213)
        | ~ c2_1(X213)
        | ~ c3_1(X213) )
      & ( ~ ndr1_0
        | c1_1(X212)
        | ~ c0_1(X212)
        | ~ c3_1(X212)
        | hskp24
        | hskp15 )
      & ( ~ ndr1_0
        | c1_1(X211)
        | ~ c0_1(X211)
        | ~ c3_1(X211)
        | hskp23 )
      & ( ~ ndr1_0
        | ~ c1_1(X210)
        | ~ c2_1(X210)
        | ~ c3_1(X210)
        | ~ ndr1_0
        | c2_1(X209)
        | ~ c0_1(X209)
        | ~ c1_1(X209)
        | ~ ndr1_0
        | c1_1(X208)
        | ~ c0_1(X208)
        | ~ c3_1(X208) )
      & ( ~ ndr1_0
        | c2_1(X207)
        | c3_1(X207)
        | ~ c1_1(X207)
        | ~ ndr1_0
        | c1_1(X206)
        | ~ c0_1(X206)
        | ~ c3_1(X206)
        | hskp22 )
      & ( ~ ndr1_0
        | c1_1(X205)
        | ~ c2_1(X205)
        | ~ c3_1(X205)
        | ~ ndr1_0
        | c1_1(X204)
        | ~ c0_1(X204)
        | ~ c2_1(X204)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X203)
        | c3_1(X203)
        | ~ c0_1(X203)
        | hskp29
        | hskp21 )
      & ( ~ ndr1_0
        | c3_1(X202)
        | ~ c1_1(X202)
        | ~ c2_1(X202)
        | ~ ndr1_0
        | c1_1(X201)
        | c3_1(X201)
        | ~ c0_1(X201)
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X200)
        | c3_1(X200)
        | ~ c0_1(X200)
        | ~ ndr1_0
        | c1_1(X199)
        | c3_1(X199)
        | ~ c0_1(X199)
        | hskp20 )
      & ( ~ ndr1_0
        | c1_1(X198)
        | ~ c0_1(X198)
        | ~ c2_1(X198)
        | ~ ndr1_0
        | c1_1(X197)
        | c3_1(X197)
        | ~ c0_1(X197)
        | hskp19 )
      & ( ~ ndr1_0
        | c1_1(X196)
        | c2_1(X196)
        | ~ c3_1(X196)
        | hskp10
        | hskp18 )
      & ( ~ ndr1_0
        | c1_1(X195)
        | c2_1(X195)
        | ~ c3_1(X195)
        | hskp28
        | hskp8 )
      & ( ~ ndr1_0
        | c3_1(X194)
        | ~ c0_1(X194)
        | ~ c1_1(X194)
        | ~ ndr1_0
        | c1_1(X193)
        | c2_1(X193)
        | c3_1(X193)
        | hskp17 )
      & ( ~ ndr1_0
        | c2_1(X192)
        | ~ c0_1(X192)
        | ~ c3_1(X192)
        | ~ ndr1_0
        | c1_1(X191)
        | c2_1(X191)
        | c3_1(X191)
        | hskp12 )
      & ( ~ ndr1_0
        | c2_1(X190)
        | c3_1(X190)
        | ~ c1_1(X190)
        | ~ ndr1_0
        | c1_1(X189)
        | c2_1(X189)
        | c3_1(X189)
        | hskp16 )
      & ( ~ ndr1_0
        | c1_1(X188)
        | ~ c0_1(X188)
        | ~ c2_1(X188)
        | ~ ndr1_0
        | c1_1(X187)
        | c2_1(X187)
        | c3_1(X187)
        | hskp27 )
      & ( ~ ndr1_0
        | c1_1(X186)
        | c3_1(X186)
        | ~ c0_1(X186)
        | ~ ndr1_0
        | c1_1(X185)
        | c2_1(X185)
        | c3_1(X185)
        | hskp13 )
      & ( ~ ndr1_0
        | c2_1(X184)
        | c3_1(X184)
        | ~ c1_1(X184)
        | ~ ndr1_0
        | c0_1(X183)
        | ~ c2_1(X183)
        | ~ c3_1(X183)
        | hskp9 )
      & ( ~ ndr1_0
        | c1_1(X182)
        | ~ c0_1(X182)
        | ~ c3_1(X182)
        | ~ ndr1_0
        | c0_1(X181)
        | ~ c1_1(X181)
        | ~ c3_1(X181)
        | hskp15 )
      & ( ~ ndr1_0
        | ~ c1_1(X180)
        | ~ c2_1(X180)
        | ~ c3_1(X180)
        | ~ ndr1_0
        | c0_1(X179)
        | ~ c2_1(X179)
        | ~ c3_1(X179)
        | ~ ndr1_0
        | c0_1(X178)
        | ~ c1_1(X178)
        | ~ c3_1(X178) )
      & ( ~ ndr1_0
        | c2_1(X177)
        | ~ c0_1(X177)
        | ~ c3_1(X177)
        | ~ ndr1_0
        | c0_1(X176)
        | ~ c1_1(X176)
        | ~ c2_1(X176)
        | hskp14 )
      & ( ~ ndr1_0
        | c1_1(X175)
        | ~ c2_1(X175)
        | ~ c3_1(X175)
        | ~ ndr1_0
        | c0_1(X174)
        | ~ c1_1(X174)
        | ~ c2_1(X174)
        | hskp8 )
      & ( ~ ndr1_0
        | c1_1(X173)
        | c2_1(X173)
        | ~ c3_1(X173)
        | ~ ndr1_0
        | c0_1(X172)
        | ~ c1_1(X172)
        | ~ c2_1(X172)
        | hskp13 )
      & ( ~ ndr1_0
        | c0_1(X171)
        | c3_1(X171)
        | ~ c2_1(X171)
        | hskp2
        | hskp1 )
      & ( ~ ndr1_0
        | c1_1(X170)
        | ~ c0_1(X170)
        | ~ c3_1(X170)
        | ~ ndr1_0
        | c0_1(X169)
        | c3_1(X169)
        | ~ c2_1(X169)
        | hskp11 )
      & ( ~ ndr1_0
        | c2_1(X168)
        | c3_1(X168)
        | ~ c0_1(X168)
        | ~ ndr1_0
        | c1_1(X167)
        | ~ c0_1(X167)
        | ~ c2_1(X167)
        | ~ ndr1_0
        | c0_1(X166)
        | c3_1(X166)
        | ~ c2_1(X166) )
      & ( ~ ndr1_0
        | c0_1(X165)
        | c3_1(X165)
        | ~ c1_1(X165)
        | hskp6
        | hskp12 )
      & ( ~ ndr1_0
        | ~ c0_1(X164)
        | ~ c2_1(X164)
        | ~ c3_1(X164)
        | ~ ndr1_0
        | c0_1(X163)
        | c3_1(X163)
        | ~ c1_1(X163)
        | hskp6 )
      & ( ~ ndr1_0
        | c3_1(X162)
        | ~ c0_1(X162)
        | ~ c2_1(X162)
        | ~ ndr1_0
        | c1_1(X161)
        | ~ c0_1(X161)
        | ~ c3_1(X161)
        | ~ ndr1_0
        | c0_1(X160)
        | c3_1(X160)
        | ~ c1_1(X160) )
      & ( ~ ndr1_0
        | c1_1(X159)
        | c3_1(X159)
        | ~ c2_1(X159)
        | ~ ndr1_0
        | c0_1(X158)
        | c3_1(X158)
        | ~ c1_1(X158)
        | hskp7 )
      & ( ~ ndr1_0
        | ~ c1_1(X157)
        | ~ c2_1(X157)
        | ~ c3_1(X157)
        | ~ ndr1_0
        | c1_1(X156)
        | c2_1(X156)
        | ~ c3_1(X156)
        | ~ ndr1_0
        | c0_1(X155)
        | c3_1(X155)
        | ~ c1_1(X155) )
      & ( ~ ndr1_0
        | c0_1(X154)
        | ~ c1_1(X154)
        | ~ c3_1(X154)
        | ~ ndr1_0
        | c0_1(X153)
        | c3_1(X153)
        | ~ c1_1(X153)
        | hskp11 )
      & ( ~ ndr1_0
        | c0_1(X152)
        | c2_1(X152)
        | ~ c1_1(X152)
        | hskp8
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X151)
        | c2_1(X151)
        | ~ c1_1(X151)
        | hskp9
        | hskp10 )
      & ( ~ ndr1_0
        | c1_1(X150)
        | c3_1(X150)
        | ~ c2_1(X150)
        | ~ ndr1_0
        | c0_1(X149)
        | c2_1(X149)
        | ~ c1_1(X149)
        | hskp8 )
      & ( ~ ndr1_0
        | c1_1(X148)
        | c3_1(X148)
        | ~ c0_1(X148)
        | ~ ndr1_0
        | c0_1(X147)
        | c2_1(X147)
        | ~ c1_1(X147)
        | hskp4 )
      & ( ~ ndr1_0
        | c1_1(X146)
        | c2_1(X146)
        | ~ c3_1(X146)
        | ~ ndr1_0
        | c0_1(X145)
        | c2_1(X145)
        | ~ c1_1(X145)
        | hskp7 )
      & ( ~ ndr1_0
        | c0_1(X144)
        | ~ c1_1(X144)
        | ~ c2_1(X144)
        | ~ ndr1_0
        | c0_1(X143)
        | c2_1(X143)
        | ~ c1_1(X143)
        | hskp0 )
      & ( ~ ndr1_0
        | c2_1(X142)
        | c3_1(X142)
        | ~ c0_1(X142)
        | ~ ndr1_0
        | c1_1(X141)
        | c3_1(X141)
        | ~ c2_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)
        | hskp6 )
      & ( ~ ndr1_0
        | c1_1(X137)
        | c2_1(X137)
        | c3_1(X137)
        | ~ ndr1_0
        | c0_1(X136)
        | c3_1(X136)
        | ~ c1_1(X136)
        | ~ ndr1_0
        | c0_1(X135)
        | c2_1(X135)
        | c3_1(X135) )
      & ( ~ ndr1_0
        | ~ c0_1(X134)
        | ~ c1_1(X134)
        | ~ c2_1(X134)
        | ~ ndr1_0
        | c0_1(X133)
        | c1_1(X133)
        | ~ c3_1(X133)
        | hskp5 )
      & ( ~ ndr1_0
        | c1_1(X132)
        | c3_1(X132)
        | ~ c2_1(X132)
        | ~ ndr1_0
        | c0_1(X131)
        | c2_1(X131)
        | ~ c3_1(X131)
        | ~ ndr1_0
        | c0_1(X130)
        | c1_1(X130)
        | ~ c3_1(X130) )
      & ( ~ ndr1_0
        | c2_1(X129)
        | ~ c0_1(X129)
        | ~ c3_1(X129)
        | ~ ndr1_0
        | c0_1(X128)
        | c1_1(X128)
        | ~ c2_1(X128)
        | hskp4 )
      & ( ~ ndr1_0
        | c2_1(X127)
        | c3_1(X127)
        | ~ c1_1(X127)
        | ~ ndr1_0
        | c0_1(X126)
        | c1_1(X126)
        | ~ c2_1(X126)
        | hskp3 )
      & ( ~ ndr1_0
        | c2_1(X125)
        | ~ c0_1(X125)
        | ~ c1_1(X125)
        | ~ ndr1_0
        | c1_1(X124)
        | ~ c0_1(X124)
        | ~ c2_1(X124)
        | ~ ndr1_0
        | c0_1(X123)
        | c1_1(X123)
        | ~ c2_1(X123) )
      & ( ~ ndr1_0
        | c1_1(X122)
        | c2_1(X122)
        | c3_1(X122)
        | ~ ndr1_0
        | c0_1(X121)
        | c1_1(X121)
        | c3_1(X121)
        | hskp2 )
      & ( ~ ndr1_0
        | c0_1(X120)
        | c1_1(X120)
        | c2_1(X120)
        | hskp0
        | hskp1 )
      & ( ~ ndr1_0
        | c0_1(X119)
        | c2_1(X119)
        | ~ c3_1(X119)
        | ~ ndr1_0
        | c0_1(X118)
        | c1_1(X118)
        | ~ c2_1(X118)
        | ~ ndr1_0
        | c0_1(X117)
        | c1_1(X117)
        | c2_1(X117) )
      & ( ndr1_0
        | ~ hskp0 )
      & ( c0_1(a1000)
        | ~ hskp0 )
      & ( c2_1(a1000)
        | ~ hskp0 )
      & ( ~ c3_1(a1000)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( c2_1(a1001)
        | ~ hskp1 )
      & ( c3_1(a1001)
        | ~ hskp1 )
      & ( ~ c1_1(a1001)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c0_1(a1002)
        | ~ hskp2 )
      & ( c2_1(a1002)
        | ~ hskp2 )
      & ( ~ c1_1(a1002)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( c1_1(a1003)
        | ~ hskp3 )
      & ( ~ c0_1(a1003)
        | ~ hskp3 )
      & ( ~ c2_1(a1003)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( c1_1(a1004)
        | ~ hskp4 )
      & ( c2_1(a1004)
        | ~ hskp4 )
      & ( ~ c3_1(a1004)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( ~ c1_1(a1005)
        | ~ hskp5 )
      & ( ~ c2_1(a1005)
        | ~ hskp5 )
      & ( ~ c3_1(a1005)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( c0_1(a1006)
        | ~ hskp6 )
      & ( c3_1(a1006)
        | ~ hskp6 )
      & ( ~ c2_1(a1006)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c2_1(a1008)
        | ~ hskp7 )
      & ( ~ c1_1(a1008)
        | ~ hskp7 )
      & ( ~ c3_1(a1008)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( c0_1(a1010)
        | ~ hskp8 )
      & ( c3_1(a1010)
        | ~ hskp8 )
      & ( ~ c1_1(a1010)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( c0_1(a1011)
        | ~ hskp9 )
      & ( c1_1(a1011)
        | ~ hskp9 )
      & ( ~ c2_1(a1011)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c0_1(a1012)
        | ~ hskp10 )
      & ( ~ c1_1(a1012)
        | ~ hskp10 )
      & ( ~ c3_1(a1012)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c3_1(a1015)
        | ~ hskp11 )
      & ( ~ c0_1(a1015)
        | ~ hskp11 )
      & ( ~ c1_1(a1015)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c1_1(a1019)
        | ~ hskp12 )
      & ( c2_1(a1019)
        | ~ hskp12 )
      & ( ~ c0_1(a1019)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( c3_1(a1023)
        | ~ hskp13 )
      & ( ~ c1_1(a1023)
        | ~ hskp13 )
      & ( ~ c2_1(a1023)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c0_1(a1025)
        | ~ hskp14 )
      & ( ~ c2_1(a1025)
        | ~ hskp14 )
      & ( ~ c3_1(a1025)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( c2_1(a1026)
        | ~ hskp15 )
      & ( ~ c0_1(a1026)
        | ~ hskp15 )
      & ( ~ c1_1(a1026)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( c1_1(a1030)
        | ~ hskp16 )
      & ( ~ c2_1(a1030)
        | ~ hskp16 )
      & ( ~ c3_1(a1030)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( c2_1(a1032)
        | ~ hskp17 )
      & ( c3_1(a1032)
        | ~ hskp17 )
      & ( ~ c0_1(a1032)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a1036)
        | ~ hskp18 )
      & ( c3_1(a1036)
        | ~ hskp18 )
      & ( ~ c2_1(a1036)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( ~ c0_1(a1037)
        | ~ hskp19 )
      & ( ~ c1_1(a1037)
        | ~ hskp19 )
      & ( ~ c3_1(a1037)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( ~ c0_1(a1038)
        | ~ hskp20 )
      & ( ~ c1_1(a1038)
        | ~ hskp20 )
      & ( ~ c2_1(a1038)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c2_1(a1041)
        | ~ hskp21 )
      & ( ~ c0_1(a1041)
        | ~ hskp21 )
      & ( ~ c3_1(a1041)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( c0_1(a1043)
        | ~ hskp22 )
      & ( ~ c1_1(a1043)
        | ~ hskp22 )
      & ( ~ c2_1(a1043)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( c0_1(a1044)
        | ~ hskp23 )
      & ( c1_1(a1044)
        | ~ hskp23 )
      & ( ~ c3_1(a1044)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( c1_1(a1045)
        | ~ hskp24 )
      & ( c3_1(a1045)
        | ~ hskp24 )
      & ( ~ c0_1(a1045)
        | ~ hskp24 )
      & ( ndr1_0
        | ~ hskp25 )
      & ( c1_1(a1048)
        | ~ hskp25 )
      & ( ~ c0_1(a1048)
        | ~ hskp25 )
      & ( ~ c3_1(a1048)
        | ~ hskp25 )
      & ( ndr1_0
        | ~ hskp26 )
      & ( c3_1(a1052)
        | ~ hskp26 )
      & ( ~ c0_1(a1052)
        | ~ hskp26 )
      & ( ~ c2_1(a1052)
        | ~ hskp26 )
      & ( ndr1_0
        | ~ hskp27 )
      & ( c0_1(a1029)
        | ~ hskp27 )
      & ( c2_1(a1029)
        | ~ hskp27 )
      & ( c3_1(a1029)
        | ~ hskp27 )
      & ( ndr1_0
        | ~ hskp28 )
      & ( c0_1(a1033)
        | ~ hskp28 )
      & ( c1_1(a1033)
        | ~ hskp28 )
      & ( c2_1(a1033)
        | ~ hskp28 )
      & ( ndr1_0
        | ~ hskp29 )
      & ( c0_1(a1040)
        | ~ hskp29 )
      & ( c1_1(a1040)
        | ~ hskp29 )
      & ( c3_1(a1040)
        | ~ hskp29 )
      & ( hskp29
        | hskp23
        | hskp13 )
      & ( hskp29
        | hskp12
        | hskp5 )
      & ( hskp29
        | hskp3
        | hskp26 )
      & ( hskp23
        | hskp18
        | hskp20 )
      & ( hskp27
        | hskp6
        | hskp14 )
      & ( hskp27
        | hskp7
        | hskp26 )
      & ( hskp22
        | hskp14
        | hskp12 )
      & ( hskp4
        | hskp21
        | hskp7 )
      & ( hskp24
        | hskp25
        | hskp19 ) ),
    inference(distribute,[status(thm)],[6]) ).

cnf(8,negated_conjecture,
    ( hskp19
    | hskp25
    | hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(9,negated_conjecture,
    ( hskp7
    | hskp21
    | hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(11,negated_conjecture,
    ( hskp26
    | hskp7
    | hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(12,negated_conjecture,
    ( hskp14
    | hskp6
    | hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(13,negated_conjecture,
    ( hskp20
    | hskp18
    | hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(14,negated_conjecture,
    ( hskp26
    | hskp3
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(16,negated_conjecture,
    ( hskp13
    | hskp23
    | hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(17,negated_conjecture,
    ( c3_1(a1040)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(18,negated_conjecture,
    ( c1_1(a1040)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(19,negated_conjecture,
    ( c0_1(a1040)
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(20,negated_conjecture,
    ( ndr1_0
    | ~ hskp29 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(21,negated_conjecture,
    ( c2_1(a1033)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(22,negated_conjecture,
    ( c1_1(a1033)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(23,negated_conjecture,
    ( c0_1(a1033)
    | ~ hskp28 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(25,negated_conjecture,
    ( c3_1(a1029)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(26,negated_conjecture,
    ( c2_1(a1029)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(27,negated_conjecture,
    ( c0_1(a1029)
    | ~ hskp27 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(29,negated_conjecture,
    ( ~ hskp26
    | ~ c2_1(a1052) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(30,negated_conjecture,
    ( ~ hskp26
    | ~ c0_1(a1052) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(31,negated_conjecture,
    ( c3_1(a1052)
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(32,negated_conjecture,
    ( ndr1_0
    | ~ hskp26 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(33,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a1048) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(34,negated_conjecture,
    ( ~ hskp25
    | ~ c0_1(a1048) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(35,negated_conjecture,
    ( c1_1(a1048)
    | ~ hskp25 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(37,negated_conjecture,
    ( ~ hskp24
    | ~ c0_1(a1045) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(38,negated_conjecture,
    ( c3_1(a1045)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(39,negated_conjecture,
    ( c1_1(a1045)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(41,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a1044) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(42,negated_conjecture,
    ( c1_1(a1044)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(43,negated_conjecture,
    ( c0_1(a1044)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(45,negated_conjecture,
    ( ~ hskp22
    | ~ c2_1(a1043) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(46,negated_conjecture,
    ( ~ hskp22
    | ~ c1_1(a1043) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(47,negated_conjecture,
    ( c0_1(a1043)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(49,negated_conjecture,
    ( ~ hskp21
    | ~ c3_1(a1041) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(50,negated_conjecture,
    ( ~ hskp21
    | ~ c0_1(a1041) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(51,negated_conjecture,
    ( c2_1(a1041)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(53,negated_conjecture,
    ( ~ hskp20
    | ~ c2_1(a1038) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(54,negated_conjecture,
    ( ~ hskp20
    | ~ c1_1(a1038) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(55,negated_conjecture,
    ( ~ hskp20
    | ~ c0_1(a1038) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(57,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a1037) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(58,negated_conjecture,
    ( ~ hskp19
    | ~ c1_1(a1037) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(59,negated_conjecture,
    ( ~ hskp19
    | ~ c0_1(a1037) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(61,negated_conjecture,
    ( ~ hskp18
    | ~ c2_1(a1036) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(62,negated_conjecture,
    ( c3_1(a1036)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(63,negated_conjecture,
    ( c1_1(a1036)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(65,negated_conjecture,
    ( ~ hskp17
    | ~ c0_1(a1032) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(66,negated_conjecture,
    ( c3_1(a1032)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(67,negated_conjecture,
    ( c2_1(a1032)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(69,negated_conjecture,
    ( ~ hskp16
    | ~ c3_1(a1030) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(70,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a1030) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(71,negated_conjecture,
    ( c1_1(a1030)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(73,negated_conjecture,
    ( ~ hskp15
    | ~ c1_1(a1026) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(74,negated_conjecture,
    ( ~ hskp15
    | ~ c0_1(a1026) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(75,negated_conjecture,
    ( c2_1(a1026)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(77,negated_conjecture,
    ( ~ hskp14
    | ~ c3_1(a1025) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(78,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a1025) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(79,negated_conjecture,
    ( c0_1(a1025)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(81,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1023) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(82,negated_conjecture,
    ( ~ hskp13
    | ~ c1_1(a1023) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(83,negated_conjecture,
    ( c3_1(a1023)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(85,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a1019) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(86,negated_conjecture,
    ( c2_1(a1019)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(87,negated_conjecture,
    ( c1_1(a1019)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(89,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a1015) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(90,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a1015) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(91,negated_conjecture,
    ( c3_1(a1015)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(93,negated_conjecture,
    ( ~ hskp10
    | ~ c3_1(a1012) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(94,negated_conjecture,
    ( ~ hskp10
    | ~ c1_1(a1012) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(95,negated_conjecture,
    ( c0_1(a1012)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(97,negated_conjecture,
    ( ~ hskp9
    | ~ c2_1(a1011) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(98,negated_conjecture,
    ( c1_1(a1011)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(99,negated_conjecture,
    ( c0_1(a1011)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(101,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1010) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(102,negated_conjecture,
    ( c3_1(a1010)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(103,negated_conjecture,
    ( c0_1(a1010)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(105,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a1008) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(106,negated_conjecture,
    ( ~ hskp7
    | ~ c1_1(a1008) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(107,negated_conjecture,
    ( c2_1(a1008)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(109,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1006) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(110,negated_conjecture,
    ( c3_1(a1006)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(111,negated_conjecture,
    ( c0_1(a1006)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(113,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a1005) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(114,negated_conjecture,
    ( ~ hskp5
    | ~ c2_1(a1005) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(115,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a1005) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(117,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a1004) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(118,negated_conjecture,
    ( c2_1(a1004)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(119,negated_conjecture,
    ( c1_1(a1004)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(121,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a1003) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(122,negated_conjecture,
    ( ~ hskp3
    | ~ c0_1(a1003) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(123,negated_conjecture,
    ( c1_1(a1003)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(124,negated_conjecture,
    ( ndr1_0
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(125,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a1002) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(126,negated_conjecture,
    ( c2_1(a1002)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(127,negated_conjecture,
    ( c0_1(a1002)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(129,negated_conjecture,
    ( ~ hskp1
    | ~ c1_1(a1001) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(130,negated_conjecture,
    ( c3_1(a1001)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(131,negated_conjecture,
    ( c2_1(a1001)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(133,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a1000) ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(134,negated_conjecture,
    ( c2_1(a1000)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(135,negated_conjecture,
    ( c0_1(a1000)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(138,negated_conjecture,
    ( hskp1
    | hskp0
    | c2_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(139,negated_conjecture,
    ( hskp2
    | c3_1(X1)
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(141,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(142,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(143,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | c3_1(X3)
    | c1_1(X3)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(144,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(146,negated_conjecture,
    ( hskp6
    | 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(148,negated_conjecture,
    ( hskp0
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(149,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c0_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(150,negated_conjecture,
    ( hskp4
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(151,negated_conjecture,
    ( hskp8
    | c2_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(152,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(154,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(156,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(158,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(159,negated_conjecture,
    ( hskp12
    | hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(161,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(162,negated_conjecture,
    ( hskp1
    | hskp2
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(165,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | c2_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(166,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c2_1(X3)
    | ~ c1_1(X3)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(167,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | c1_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

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

cnf(169,negated_conjecture,
    ( hskp13
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(170,negated_conjecture,
    ( hskp27
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c1_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(171,negated_conjecture,
    ( hskp16
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(172,negated_conjecture,
    ( hskp12
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(173,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(174,negated_conjecture,
    ( hskp8
    | hskp28
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(175,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(176,negated_conjecture,
    ( hskp19
    | 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(177,negated_conjecture,
    ( hskp20
    | c3_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(178,negated_conjecture,
    ( hskp10
    | c3_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(179,negated_conjecture,
    ( hskp21
    | hskp29
    | c3_1(X1)
    | c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(180,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(181,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(183,negated_conjecture,
    ( hskp23
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(184,negated_conjecture,
    ( hskp15
    | hskp24
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(185,negated_conjecture,
    ( c1_1(X1)
    | c2_1(X2)
    | c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_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(186,negated_conjecture,
    ( hskp25
    | hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(187,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c2_1(X1)
    | c3_1(X2)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(188,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(189,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(190,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(191,negated_conjecture,
    ( hskp3
    | hskp23
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(192,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(193,negated_conjecture,
    ( hskp19
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(194,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(195,negated_conjecture,
    ( hskp4
    | hskp23
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(196,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(197,negated_conjecture,
    ( hskp7
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(198,negated_conjecture,
    ( hskp3
    | hskp24
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(199,negated_conjecture,
    ( hskp19
    | hskp26
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[7]) ).

cnf(200,negated_conjecture,
    ( ndr1_0
    | hskp26
    | hskp3 ),
    inference(spm,[status(thm)],[20,14,theory(equality)]) ).

cnf(974,negated_conjecture,
    ( hskp26
    | ndr1_0 ),
    inference(csr,[status(thm)],[200,124]) ).

cnf(975,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[974,32]) ).

cnf(978,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[166,975,theory(equality)]) ).

cnf(979,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[978,theory(equality)]) ).

cnf(980,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | $false ),
    inference(rw,[status(thm)],[185,975,theory(equality)]) ).

cnf(981,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(X3)
    | ~ c1_1(X2)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[980,theory(equality)]) ).

cnf(986,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[140,975,theory(equality)]) ).

cnf(987,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(X3)
    | c0_1(X1)
    | ~ c1_1(X3)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X3)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[986,theory(equality)]) ).

cnf(990,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[143,975,theory(equality)]) ).

cnf(991,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X2)
    | c2_1(X3)
    | c0_1(X1)
    | c0_1(X3)
    | ~ c3_1(X3)
    | ~ c3_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[990,theory(equality)]) ).

cnf(998,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[194,975,theory(equality)]) ).

cnf(999,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[998,theory(equality)]) ).

cnf(1000,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[188,975,theory(equality)]) ).

cnf(1001,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1000,theory(equality)]) ).

cnf(1002,negated_conjecture,
    ( hskp15
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[167,975,theory(equality)]) ).

cnf(1003,negated_conjecture,
    ( hskp15
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1002,theory(equality)]) ).

cnf(1004,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[165,975,theory(equality)]) ).

cnf(1005,negated_conjecture,
    ( hskp14
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1004,theory(equality)]) ).

cnf(1006,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[164,975,theory(equality)]) ).

cnf(1007,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1006,theory(equality)]) ).

cnf(1008,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[180,975,theory(equality)]) ).

cnf(1009,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | c1_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1008,theory(equality)]) ).

cnf(1010,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[158,975,theory(equality)]) ).

cnf(1011,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1010,theory(equality)]) ).

cnf(1012,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[144,975,theory(equality)]) ).

cnf(1013,negated_conjecture,
    ( hskp5
    | c1_1(X1)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1012,theory(equality)]) ).

cnf(1014,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[181,975,theory(equality)]) ).

cnf(1015,negated_conjecture,
    ( hskp22
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1014,theory(equality)]) ).

cnf(1016,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[176,975,theory(equality)]) ).

cnf(1017,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1016,theory(equality)]) ).

cnf(1018,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[187,975,theory(equality)]) ).

cnf(1019,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1018,theory(equality)]) ).

cnf(1022,negated_conjecture,
    ( hskp11
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[161,975,theory(equality)]) ).

cnf(1023,negated_conjecture,
    ( hskp11
    | c1_1(X1)
    | c3_1(X2)
    | c0_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1022,theory(equality)]) ).

cnf(1024,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | $false ),
    inference(rw,[status(thm)],[154,975,theory(equality)]) ).

cnf(1025,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[1024,theory(equality)]) ).

cnf(1026,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[178,975,theory(equality)]) ).

cnf(1027,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1026,theory(equality)]) ).

cnf(1028,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[168,975,theory(equality)]) ).

cnf(1029,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1028,theory(equality)]) ).

cnf(1030,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[142,975,theory(equality)]) ).

cnf(1031,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1030,theory(equality)]) ).

cnf(1032,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[148,975,theory(equality)]) ).

cnf(1033,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | hskp0
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1032,theory(equality)]) ).

cnf(1034,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[170,975,theory(equality)]) ).

cnf(1035,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1034,theory(equality)]) ).

cnf(1036,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[177,975,theory(equality)]) ).

cnf(1037,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1036,theory(equality)]) ).

cnf(1038,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[173,975,theory(equality)]) ).

cnf(1039,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c1_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1038,theory(equality)]) ).

cnf(1040,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[172,975,theory(equality)]) ).

cnf(1041,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c3_1(X2)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1040,theory(equality)]) ).

cnf(1042,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[151,975,theory(equality)]) ).

cnf(1043,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1042,theory(equality)]) ).

cnf(1044,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[156,975,theory(equality)]) ).

cnf(1045,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1044,theory(equality)]) ).

cnf(1046,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[149,975,theory(equality)]) ).

cnf(1047,negated_conjecture,
    ( hskp7
    | c1_1(X1)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1046,theory(equality)]) ).

cnf(1048,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2)
    | $false ),
    inference(rw,[status(thm)],[146,975,theory(equality)]) ).

cnf(1049,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X2) ),
    inference(cn,[status(thm)],[1048,theory(equality)]) ).

cnf(1050,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[150,975,theory(equality)]) ).

cnf(1051,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X2)
    | c0_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1050,theory(equality)]) ).

cnf(1052,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[141,975,theory(equality)]) ).

cnf(1053,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | ~ c1_1(X2)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1052,theory(equality)]) ).

cnf(1054,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2)
    | $false ),
    inference(rw,[status(thm)],[171,975,theory(equality)]) ).

cnf(1055,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[1054,theory(equality)]) ).

cnf(1056,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c0_1(X2)
    | $false ),
    inference(rw,[status(thm)],[169,975,theory(equality)]) ).

cnf(1057,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X1)
    | ~ c0_1(X2) ),
    inference(cn,[status(thm)],[1056,theory(equality)]) ).

cnf(1058,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[139,975,theory(equality)]) ).

cnf(1059,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c0_1(X1) ),
    inference(cn,[status(thm)],[1058,theory(equality)]) ).

cnf(1060,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[199,975,theory(equality)]) ).

cnf(1061,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1060,theory(equality)]) ).

cnf(1062,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[196,975,theory(equality)]) ).

cnf(1063,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1062,theory(equality)]) ).

cnf(1064,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[198,975,theory(equality)]) ).

cnf(1065,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c3_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1064,theory(equality)]) ).

cnf(1066,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[184,975,theory(equality)]) ).

cnf(1067,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1066,theory(equality)]) ).

cnf(1068,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[189,975,theory(equality)]) ).

cnf(1069,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1068,theory(equality)]) ).

cnf(1070,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[192,975,theory(equality)]) ).

cnf(1071,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1070,theory(equality)]) ).

cnf(1072,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[190,975,theory(equality)]) ).

cnf(1073,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1072,theory(equality)]) ).

cnf(1074,negated_conjecture,
    ( hskp23
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[195,975,theory(equality)]) ).

cnf(1075,negated_conjecture,
    ( hskp23
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1074,theory(equality)]) ).

cnf(1076,negated_conjecture,
    ( hskp19
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[193,975,theory(equality)]) ).

cnf(1077,negated_conjecture,
    ( hskp19
    | hskp4
    | c3_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1076,theory(equality)]) ).

cnf(1078,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[191,975,theory(equality)]) ).

cnf(1079,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1078,theory(equality)]) ).

cnf(1080,negated_conjecture,
    ( hskp29
    | hskp21
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[179,975,theory(equality)]) ).

cnf(1081,negated_conjecture,
    ( hskp29
    | hskp21
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1080,theory(equality)]) ).

cnf(1082,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[175,975,theory(equality)]) ).

cnf(1083,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1082,theory(equality)]) ).

cnf(1084,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[152,975,theory(equality)]) ).

cnf(1085,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1084,theory(equality)]) ).

cnf(1086,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1)
    | $false ),
    inference(rw,[status(thm)],[174,975,theory(equality)]) ).

cnf(1087,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[1086,theory(equality)]) ).

cnf(1088,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[153,975,theory(equality)]) ).

cnf(1089,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1088,theory(equality)]) ).

cnf(1090,negated_conjecture,
    ( hskp12
    | hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | $false ),
    inference(rw,[status(thm)],[159,975,theory(equality)]) ).

cnf(1091,negated_conjecture,
    ( hskp12
    | hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[1090,theory(equality)]) ).

cnf(1092,negated_conjecture,
    ( hskp25
    | hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[186,975,theory(equality)]) ).

cnf(1093,negated_conjecture,
    ( hskp25
    | hskp3
    | c3_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1092,theory(equality)]) ).

cnf(1094,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[162,975,theory(equality)]) ).

cnf(1095,negated_conjecture,
    ( hskp2
    | hskp1
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[1094,theory(equality)]) ).

cnf(1096,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c2_1(X1)
    | c0_1(X1)
    | hskp0
    | $false ),
    inference(rw,[status(thm)],[138,975,theory(equality)]) ).

cnf(1097,negated_conjecture,
    ( c1_1(X1)
    | hskp1
    | c2_1(X1)
    | c0_1(X1)
    | hskp0 ),
    inference(cn,[status(thm)],[1096,theory(equality)]) ).

cnf(1098,negated_conjecture,
    ( hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[197,975,theory(equality)]) ).

cnf(1099,negated_conjecture,
    ( hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1098,theory(equality)]) ).

cnf(1100,negated_conjecture,
    ( hskp23
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1)
    | $false ),
    inference(rw,[status(thm)],[183,975,theory(equality)]) ).

cnf(1101,negated_conjecture,
    ( hskp23
    | c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[1100,theory(equality)]) ).

cnf(1132,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1000)
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1099,135,theory(equality)]) ).

cnf(1140,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1099,43,theory(equality)]) ).

cnf(1141,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1099,27,theory(equality)]) ).

cnf(1142,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1033)
    | ~ c2_1(a1033)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1099,23,theory(equality)]) ).

cnf(1143,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1040)
    | ~ c2_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1099,19,theory(equality)]) ).

cnf(1144,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1132,134]) ).

cnf(1147,negated_conjecture,
    ( hskp23
    | c1_1(a1010)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1101,102,theory(equality)]) ).

cnf(1149,negated_conjecture,
    ( hskp23
    | c1_1(a1023)
    | ~ c0_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1101,83,theory(equality)]) ).

cnf(1154,negated_conjecture,
    ( hskp23
    | c1_1(a1029)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1101,25,theory(equality)]) ).

cnf(1181,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ c2_1(a1001)
    | ~ c0_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1061,130,theory(equality)]) ).

cnf(1191,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1061,17,theory(equality)]) ).

cnf(1197,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(a1032)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(a1032)
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[979,66,theory(equality)]) ).

cnf(1199,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ c1_1(a1045)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(a1045)
    | ~ c2_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[979,38,theory(equality)]) ).

cnf(1203,negated_conjecture,
    ( hskp7
    | ~ hskp23
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[1140,42]) ).

cnf(1204,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ c1_1(a1029) ),
    inference(csr,[status(thm)],[1141,26]) ).

cnf(1205,negated_conjecture,
    ( hskp7
    | ~ hskp28
    | ~ c1_1(a1033) ),
    inference(csr,[status(thm)],[1142,21]) ).

cnf(1206,negated_conjecture,
    ( hskp7
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1205,22]) ).

cnf(1207,negated_conjecture,
    ( hskp7
    | ~ hskp29
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[1143,18]) ).

cnf(1210,negated_conjecture,
    ( hskp23
    | c1_1(a1010)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1147,103]) ).

cnf(1211,negated_conjecture,
    ( hskp23
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1210,101]) ).

cnf(1220,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1063,43,theory(equality)]) ).

cnf(1221,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1063,27,theory(equality)]) ).

cnf(1222,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(a1033)
    | ~ c2_1(a1033)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1063,23,theory(equality)]) ).

cnf(1223,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ c1_1(a1040)
    | ~ c2_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1063,19,theory(equality)]) ).

cnf(1225,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(a1006)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[981,110,theory(equality)]) ).

cnf(1226,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(a1010)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[981,102,theory(equality)]) ).

cnf(1228,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(a1023)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[981,83,theory(equality)]) ).

cnf(1237,negated_conjecture,
    ( hskp23
    | ~ hskp13
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[1149,82]) ).

cnf(1246,negated_conjecture,
    ( hskp23
    | c1_1(a1029)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1154,27]) ).

cnf(1247,negated_conjecture,
    ( hskp7
    | hskp23
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1204,1246,theory(equality)]) ).

cnf(1248,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a1001)
    | ~ c0_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1065,130,theory(equality)]) ).

cnf(1250,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a1010)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1065,102,theory(equality)]) ).

cnf(1257,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1065,25,theory(equality)]) ).

cnf(1258,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1065,17,theory(equality)]) ).

cnf(1271,negated_conjecture,
    ( hskp23
    | hskp7
    | hskp26 ),
    inference(spm,[status(thm)],[1247,11,theory(equality)]) ).

cnf(1274,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[1181,131]) ).

cnf(1279,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1001)
    | ~ c0_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1067,130,theory(equality)]) ).

cnf(1281,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1010)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1067,102,theory(equality)]) ).

cnf(1283,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1023)
    | ~ c0_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1067,83,theory(equality)]) ).

cnf(1288,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1029)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1067,25,theory(equality)]) ).

cnf(1322,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1006)
    | ~ c1_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1069,111,theory(equality)]) ).

cnf(1324,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1011)
    | ~ c1_1(a1011)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1069,99,theory(equality)]) ).

cnf(1328,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1044)
    | ~ c1_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1069,43,theory(equality)]) ).

cnf(1331,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1040)
    | ~ c1_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1069,19,theory(equality)]) ).

cnf(1336,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(a1011)
    | c0_1(X2)
    | ~ c1_1(a1011)
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[987,99,theory(equality)]) ).

cnf(1344,negated_conjecture,
    ( hskp26
    | hskp19
    | ~ hskp29
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[1191,19]) ).

cnf(1364,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1036)
    | ~ c1_1(a1036)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1071,62,theory(equality)]) ).

cnf(1365,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1045)
    | ~ c1_1(a1045)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1071,38,theory(equality)]) ).

cnf(1366,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1052)
    | ~ c1_1(a1052)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1071,31,theory(equality)]) ).

cnf(1368,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1040)
    | ~ c1_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1071,17,theory(equality)]) ).

cnf(1387,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp23
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[1220,42]) ).

cnf(1388,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp27
    | ~ c1_1(a1029) ),
    inference(csr,[status(thm)],[1221,26]) ).

cnf(1389,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp23
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1388,1246,theory(equality)]) ).

cnf(1390,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp28
    | ~ c1_1(a1033) ),
    inference(csr,[status(thm)],[1222,21]) ).

cnf(1391,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp28 ),
    inference(csr,[status(thm)],[1390,22]) ).

cnf(1392,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp29
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[1223,18]) ).

cnf(1397,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1011)
    | ~ c1_1(a1011)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1073,99,theory(equality)]) ).

cnf(1399,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1025)
    | ~ c1_1(a1025)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1073,79,theory(equality)]) ).

cnf(1401,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1044)
    | ~ c1_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1073,43,theory(equality)]) ).

cnf(1404,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1040)
    | ~ c1_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1073,19,theory(equality)]) ).

cnf(1408,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1015)
    | c0_1(a1015)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[991,91,theory(equality)]) ).

cnf(1409,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1023)
    | c0_1(a1023)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[991,83,theory(equality)]) ).

cnf(1412,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1045)
    | c0_1(a1045)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[991,38,theory(equality)]) ).

cnf(1413,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1052)
    | c0_1(a1052)
    | c0_1(X2)
    | ~ c3_1(X2)
    | ~ c2_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[991,31,theory(equality)]) ).

cnf(1416,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[1248,131]) ).

cnf(1420,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp8
    | ~ c2_1(a1010) ),
    inference(csr,[status(thm)],[1250,103]) ).

cnf(1443,negated_conjecture,
    ( hskp23
    | hskp4
    | ~ hskp25
    | ~ c1_1(a1048)
    | ~ c2_1(a1048) ),
    inference(spm,[status(thm)],[33,1075,theory(equality)]) ).

cnf(1449,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp23
    | hskp4
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1065,1075,theory(equality)]) ).

cnf(1480,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp27
    | ~ c2_1(a1029) ),
    inference(csr,[status(thm)],[1257,27]) ).

cnf(1481,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1480,26]) ).

cnf(1482,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ hskp29
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[1258,19]) ).

cnf(1483,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp0
    | ~ c1_1(a1000)
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,1077,theory(equality)]) ).

cnf(1492,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp23
    | ~ c1_1(a1044)
    | ~ c0_1(a1044) ),
    inference(spm,[status(thm)],[41,1077,theory(equality)]) ).

cnf(1528,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[1279,129]) ).

cnf(1530,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1010)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1281,103]) ).

cnf(1531,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1530,101]) ).

cnf(1533,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(a1006)
    | ~ c0_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1079,110,theory(equality)]) ).

cnf(1538,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(a1036)
    | ~ c0_1(a1036)
    | ~ hskp18 ),
    inference(spm,[status(thm)],[1079,62,theory(equality)]) ).

cnf(1542,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1079,17,theory(equality)]) ).

cnf(1559,negated_conjecture,
    ( hskp23
    | hskp4
    | ~ hskp25
    | ~ c2_1(a1048) ),
    inference(csr,[status(thm)],[1443,35]) ).

cnf(1560,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ c1_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1483,135]) ).

cnf(1570,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp13
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[1283,82]) ).

cnf(1576,negated_conjecture,
    ( hskp29
    | hskp21
    | c1_1(a1005)
    | ~ hskp5
    | ~ c0_1(a1005) ),
    inference(spm,[status(thm)],[113,1081,theory(equality)]) ).

cnf(1578,negated_conjecture,
    ( hskp29
    | hskp21
    | c1_1(a1012)
    | ~ hskp10
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,1081,theory(equality)]) ).

cnf(1590,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp29
    | hskp21
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1065,1081,theory(equality)]) ).

cnf(1598,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1000)
    | ~ c2_1(a1000)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[999,135,theory(equality)]) ).

cnf(1606,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[999,43,theory(equality)]) ).

cnf(1607,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[999,27,theory(equality)]) ).

cnf(1608,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1033)
    | ~ c2_1(a1033)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[999,23,theory(equality)]) ).

cnf(1609,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1040)
    | ~ c2_1(a1040)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[999,19,theory(equality)]) ).

cnf(1624,negated_conjecture,
    ( hskp24
    | hskp15
    | c1_1(a1029)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[1288,27]) ).

cnf(1630,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(a1010)
    | c2_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1083,102,theory(equality)]) ).

cnf(1636,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(a1052)
    | c2_1(a1052)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1083,31,theory(equality)]) ).

cnf(1641,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(X1)
    | c2_1(X1)
    | hskp29
    | hskp21
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1083,1081,theory(equality)]) ).

cnf(1651,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ c0_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1001,25,theory(equality)]) ).

cnf(1652,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a1040)
    | ~ c0_1(a1040)
    | ~ c0_1(X1)
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1001,17,theory(equality)]) ).

cnf(1656,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp23
    | ~ c1_1(a1044) ),
    inference(csr,[status(thm)],[1492,43]) ).

cnf(1657,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1656,42]) ).

cnf(1667,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1003)
    | ~ hskp3
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[122,1085,theory(equality)]) ).

cnf(1675,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1045)
    | ~ hskp24
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[37,1085,theory(equality)]) ).

cnf(1676,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1048)
    | ~ hskp25
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[34,1085,theory(equality)]) ).

cnf(1677,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1052)
    | ~ hskp26
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[30,1085,theory(equality)]) ).

cnf(1683,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(X1)
    | hskp10
    | hskp9
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1069,1085,theory(equality)]) ).

cnf(1686,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(X1)
    | hskp10
    | hskp9
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1073,1085,theory(equality)]) ).

cnf(1693,negated_conjecture,
    ( hskp15
    | c1_1(a1001)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1003,130,theory(equality)]) ).

cnf(1695,negated_conjecture,
    ( hskp15
    | c1_1(a1010)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1003,102,theory(equality)]) ).

cnf(1697,negated_conjecture,
    ( hskp15
    | c1_1(a1023)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1003,83,theory(equality)]) ).

cnf(1702,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1003,25,theory(equality)]) ).

cnf(1710,negated_conjecture,
    ( hskp29
    | hskp21
    | ~ hskp5
    | ~ c0_1(a1005) ),
    inference(csr,[status(thm)],[1576,115]) ).

cnf(1722,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1006)
    | c2_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1087,110,theory(equality)]) ).

cnf(1724,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1015)
    | c2_1(a1015)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1087,91,theory(equality)]) ).

cnf(1725,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1023)
    | c2_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1087,83,theory(equality)]) ).

cnf(1729,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1052)
    | c2_1(a1052)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1087,31,theory(equality)]) ).

cnf(1734,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | hskp29
    | hskp21
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1087,1081,theory(equality)]) ).

cnf(1736,negated_conjecture,
    ( hskp14
    | c2_1(a1006)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1005,110,theory(equality)]) ).

cnf(1751,negated_conjecture,
    ( hskp29
    | hskp21
    | c1_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1578,95]) ).

cnf(1752,negated_conjecture,
    ( hskp29
    | hskp21
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1751,94]) ).

cnf(1756,negated_conjecture,
    ( hskp26
    | hskp8
    | ~ hskp6
    | ~ c1_1(a1006) ),
    inference(csr,[status(thm)],[1322,109]) ).

cnf(1761,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(a1003)
    | ~ hskp3
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[122,1089,theory(equality)]) ).

cnf(1771,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(a1052)
    | ~ hskp26
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[30,1089,theory(equality)]) ).

cnf(1789,negated_conjecture,
    ( hskp8
    | c1_1(a1001)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a1001)
    | ~ c2_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1007,130,theory(equality)]) ).

cnf(1815,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1011)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1324,98]) ).

cnf(1816,negated_conjecture,
    ( hskp26
    | hskp8
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1815,97]) ).

cnf(1823,negated_conjecture,
    ( hskp12
    | hskp6
    | c0_1(a1004)
    | ~ hskp4
    | ~ c1_1(a1004) ),
    inference(spm,[status(thm)],[117,1091,theory(equality)]) ).

cnf(1830,negated_conjecture,
    ( hskp12
    | hskp6
    | c0_1(a1041)
    | ~ hskp21
    | ~ c1_1(a1041) ),
    inference(spm,[status(thm)],[49,1091,theory(equality)]) ).

cnf(1832,negated_conjecture,
    ( hskp12
    | hskp6
    | c0_1(a1048)
    | ~ hskp25
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[33,1091,theory(equality)]) ).

cnf(1842,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | hskp12
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[1071,1091,theory(equality)]) ).

cnf(1852,negated_conjecture,
    ( hskp6
    | c1_1(a1001)
    | c1_1(X1)
    | ~ c2_1(a1001)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1009,130,theory(equality)]) ).

cnf(1854,negated_conjecture,
    ( hskp6
    | c1_1(a1010)
    | c1_1(X1)
    | ~ c2_1(a1010)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1009,102,theory(equality)]) ).

cnf(1861,negated_conjecture,
    ( hskp6
    | c1_1(a1029)
    | c1_1(X1)
    | ~ c2_1(a1029)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1009,25,theory(equality)]) ).

cnf(1868,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1003)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[1667,123]) ).

cnf(1869,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp3 ),
    inference(csr,[status(thm)],[1868,121]) ).

cnf(1883,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1005)
    | ~ hskp5
    | ~ c0_1(a1005) ),
    inference(spm,[status(thm)],[113,1093,theory(equality)]) ).

cnf(1885,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1012)
    | ~ hskp10
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,1093,theory(equality)]) ).

cnf(1886,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1025)
    | ~ hskp14
    | ~ c0_1(a1025) ),
    inference(spm,[status(thm)],[77,1093,theory(equality)]) ).

cnf(1887,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1030)
    | ~ hskp16
    | ~ c0_1(a1030) ),
    inference(spm,[status(thm)],[69,1093,theory(equality)]) ).

cnf(1890,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1044)
    | ~ hskp23
    | ~ c0_1(a1044) ),
    inference(spm,[status(thm)],[41,1093,theory(equality)]) ).

cnf(1901,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | hskp25
    | hskp3
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1071,1093,theory(equality)]) ).

cnf(1904,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(X1)
    | hskp25
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1079,1093,theory(equality)]) ).

cnf(1908,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | hskp25
    | hskp3
    | ~ c0_1(X1) ),
    inference(spm,[status(thm)],[1087,1093,theory(equality)]) ).

cnf(1921,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(a1029)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1011,25,theory(equality)]) ).

cnf(1943,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1044)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1328,42]) ).

cnf(1944,negated_conjecture,
    ( hskp7
    | hskp26
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1203,1943,theory(equality)]) ).

cnf(1945,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp26
    | hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1387,1943,theory(equality)]) ).

cnf(1946,negated_conjecture,
    ( hskp26
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[1944,1271]) ).

cnf(1948,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1004)
    | ~ hskp4
    | ~ c2_1(a1004) ),
    inference(spm,[status(thm)],[117,1095,theory(equality)]) ).

cnf(1950,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1008)
    | ~ hskp7
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,1095,theory(equality)]) ).

cnf(1954,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1037)
    | ~ hskp19
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[57,1095,theory(equality)]) ).

cnf(1955,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1041)
    | ~ hskp21
    | ~ c2_1(a1041) ),
    inference(spm,[status(thm)],[49,1095,theory(equality)]) ).

cnf(1957,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1048) ),
    inference(spm,[status(thm)],[33,1095,theory(equality)]) ).

cnf(1982,negated_conjecture,
    ( hskp5
    | c1_1(a1015)
    | c0_1(a1015)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1013,91,theory(equality)]) ).

cnf(1984,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | c0_1(a1032)
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1013,66,theory(equality)]) ).

cnf(1999,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1045)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[1675,39]) ).

cnf(2000,negated_conjecture,
    ( hskp10
    | hskp9
    | c2_1(a1048)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[1676,35]) ).

cnf(2003,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1945,1816]) ).

cnf(2011,negated_conjecture,
    ( c1_1(a1015)
    | hskp1
    | c2_1(a1015)
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[90,1097,theory(equality)]) ).

cnf(2016,negated_conjecture,
    ( c1_1(a1038)
    | hskp1
    | c2_1(a1038)
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[55,1097,theory(equality)]) ).

cnf(2020,negated_conjecture,
    ( c1_1(a1052)
    | hskp1
    | c2_1(a1052)
    | hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[30,1097,theory(equality)]) ).

cnf(2040,negated_conjecture,
    ( hskp22
    | c1_1(a1010)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1015,102,theory(equality)]) ).

cnf(2042,negated_conjecture,
    ( hskp22
    | c1_1(a1023)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1015,83,theory(equality)]) ).

cnf(2047,negated_conjecture,
    ( hskp22
    | c1_1(a1029)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ c0_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1015,25,theory(equality)]) ).

cnf(2056,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[1677,29]) ).

cnf(2057,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(a1003)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[1761,123]) ).

cnf(2058,negated_conjecture,
    ( hskp8
    | hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[2057,121]) ).

cnf(2059,negated_conjecture,
    ( hskp23
    | hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1211,2058,theory(equality)]) ).

cnf(2060,negated_conjecture,
    ( hskp26
    | hskp8
    | c2_1(a1040)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1331,18]) ).

cnf(2062,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1344,2060,theory(equality)]) ).

cnf(2063,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp26
    | hskp8
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1392,2060,theory(equality)]) ).

cnf(2064,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp26
    | hskp8
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1482,2060,theory(equality)]) ).

cnf(2066,negated_conjecture,
    ( hskp19
    | c1_1(a1000)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a1000)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1017,135,theory(equality)]) ).

cnf(2067,negated_conjecture,
    ( hskp19
    | c1_1(a1002)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a1002)
    | ~ c0_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1017,127,theory(equality)]) ).

cnf(2071,negated_conjecture,
    ( hskp19
    | c1_1(a1012)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(a1012)
    | ~ c0_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1017,95,theory(equality)]) ).

cnf(2087,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c3_1(a1044)
    | c2_1(a1044)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1019,42,theory(equality)]) ).

cnf(2089,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c3_1(a1048)
    | c2_1(a1048)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1019,35,theory(equality)]) ).

cnf(2110,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2063,1816]) ).

cnf(2112,negated_conjecture,
    ( hskp26
    | hskp24
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[2064,14]) ).

cnf(2132,negated_conjecture,
    ( hskp11
    | c1_1(a1010)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1023,102,theory(equality)]) ).

cnf(2173,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(a1045)
    | c0_1(X1)
    | ~ c1_1(a1045)
    | ~ c1_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1025,38,theory(equality)]) ).

cnf(2186,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(a1004)
    | c3_1(X1)
    | ~ c1_1(a1004)
    | ~ c0_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1027,118,theory(equality)]) ).

cnf(2205,negated_conjecture,
    ( hskp8
    | hskp7
    | c2_1(a1052)
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[1771,1946]) ).

cnf(2206,negated_conjecture,
    ( hskp8
    | hskp7
    | ~ hskp26
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[29,2205,theory(equality)]) ).

cnf(2208,negated_conjecture,
    ( hskp8
    | hskp7
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[2206,1946]) ).

cnf(2215,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1001)
    | ~ c1_1(X1)
    | ~ c2_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1029,130,theory(equality)]) ).

cnf(2218,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1015)
    | ~ c1_1(X1)
    | ~ c2_1(a1015)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[1029,91,theory(equality)]) ).

cnf(2220,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1032)
    | ~ c1_1(X1)
    | ~ c2_1(a1032)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1029,66,theory(equality)]) ).

cnf(2233,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(a1006)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1031,110,theory(equality)]) ).

cnf(2234,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(a1010)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1031,102,theory(equality)]) ).

cnf(2252,negated_conjecture,
    ( hskp12
    | hskp6
    | c0_1(a1004)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[1823,119]) ).

cnf(2253,negated_conjecture,
    ( hskp7
    | hskp12
    | hskp6
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1099,2252,theory(equality)]) ).

cnf(2268,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1036)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[1364,63]) ).

cnf(2269,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp18 ),
    inference(csr,[status(thm)],[2268,61]) ).

cnf(2270,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1045)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[1365,39]) ).

cnf(2272,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp26
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[1366,29]) ).

cnf(2276,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a1019)
    | c0_1(X1)
    | hskp0
    | ~ c1_1(X1)
    | ~ c2_1(a1019)
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1033,87,theory(equality)]) ).

cnf(2291,negated_conjecture,
    ( hskp27
    | c1_1(a1002)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c2_1(a1002)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1035,127,theory(equality)]) ).

cnf(2327,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(a1040)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1368,18]) ).

cnf(2331,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp22
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1482,2327,theory(equality)]) ).

cnf(2338,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(a1012)
    | c3_1(X1)
    | c2_1(a1012)
    | ~ c0_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1037,95,theory(equality)]) ).

cnf(2339,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(a1025)
    | c3_1(X1)
    | c2_1(a1025)
    | ~ c0_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1037,79,theory(equality)]) ).

cnf(2341,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(a1044)
    | c3_1(X1)
    | c2_1(a1044)
    | ~ c0_1(X1)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1037,43,theory(equality)]) ).

cnf(2358,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(a1044)
    | c3_1(X1)
    | c2_1(X1)
    | ~ c1_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1039,43,theory(equality)]) ).

cnf(2370,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp21
    | ~ c1_1(a1041) ),
    inference(csr,[status(thm)],[1830,50]) ).

cnf(2374,negated_conjecture,
    ( hskp12
    | hskp6
    | c0_1(a1048)
    | ~ hskp25 ),
    inference(csr,[status(thm)],[1832,35]) ).

cnf(2375,negated_conjecture,
    ( hskp12
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[2374,34]) ).

cnf(2379,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1006)
    | c2_1(X1)
    | ~ c0_1(a1006)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1041,110,theory(equality)]) ).

cnf(2395,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1003)
    | c0_1(a1003)
    | ~ c2_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1043,123,theory(equality)]) ).

cnf(2402,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1045)
    | c0_1(a1045)
    | ~ c2_1(X1)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[1043,39,theory(equality)]) ).

cnf(2420,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp5
    | ~ c0_1(a1005) ),
    inference(csr,[status(thm)],[1883,114]) ).

cnf(2423,negated_conjecture,
    ( hskp25
    | hskp3
    | c1_1(a1005)
    | hskp1
    | c2_1(a1005)
    | hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2420,1097,theory(equality)]) ).

cnf(2430,negated_conjecture,
    ( hskp7
    | c1_1(a1000)
    | c3_1(a1000)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1045,134,theory(equality)]) ).

cnf(2453,negated_conjecture,
    ( hskp7
    | c1_1(a1023)
    | c2_1(a1023)
    | c2_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1047,83,theory(equality)]) ).

cnf(2469,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[1885,95]) ).

cnf(2472,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1025)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[1886,79]) ).

cnf(2473,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2472,78]) ).

cnf(2476,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2375,2473,theory(equality)]) ).

cnf(2487,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1032)
    | c0_1(X1)
    | ~ c2_1(a1032)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1049,66,theory(equality)]) ).

cnf(2499,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1003)
    | c0_1(a1003)
    | ~ c0_1(X1)
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1051,123,theory(equality)]) ).

cnf(2528,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1011)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[1397,98]) ).

cnf(2529,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[2528,97]) ).

cnf(2538,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(a1030)
    | c2_1(a1030)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp16 ),
    inference(spm,[status(thm)],[1053,71,theory(equality)]) ).

cnf(2542,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(a1048)
    | c2_1(a1048)
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ hskp25 ),
    inference(spm,[status(thm)],[1053,35,theory(equality)]) ).

cnf(2575,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp14
    | ~ c1_1(a1025) ),
    inference(csr,[status(thm)],[1399,78]) ).

cnf(2582,negated_conjecture,
    ( hskp13
    | c1_1(a1012)
    | c1_1(X1)
    | c3_1(a1012)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[1057,95,theory(equality)]) ).

cnf(2583,negated_conjecture,
    ( hskp13
    | c1_1(a1025)
    | c1_1(X1)
    | c3_1(a1025)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[1057,79,theory(equality)]) ).

cnf(2594,negated_conjecture,
    ( hskp2
    | c1_1(X3)
    | c3_1(X3)
    | c2_1(X3)
    | c0_1(X3) ),
    inference(ef,[status(thm)],[1059,theory(equality)]) ).

cnf(2600,negated_conjecture,
    ( hskp2
    | c1_1(a1005)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1005)
    | c0_1(X1)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[113,1059,theory(equality)]) ).

cnf(2611,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c1_1(a1037)
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1037)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[57,1059,theory(equality)]) ).

cnf(2683,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp16
    | ~ c0_1(a1030) ),
    inference(csr,[status(thm)],[1887,70]) ).

cnf(2692,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1044)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1401,42]) ).

cnf(2711,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1044)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[1890,43]) ).

cnf(2713,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp25
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[1387,2711,theory(equality)]) ).

cnf(2721,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp9
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[2375,2713,theory(equality)]) ).

cnf(2739,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1004)
    | ~ hskp4 ),
    inference(csr,[status(thm)],[1948,118]) ).

cnf(2740,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1099,2739,theory(equality)]) ).

cnf(2747,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | hskp2
    | hskp1
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[999,2739,theory(equality)]) ).

cnf(2759,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1040)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1404,18]) ).

cnf(2762,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp13
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1392,2759,theory(equality)]) ).

cnf(2776,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1008)
    | ~ hskp7 ),
    inference(csr,[status(thm)],[1950,107]) ).

cnf(2786,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | c1_1(X1)
    | c3_1(X1)
    | hskp2
    | hskp1
    | ~ c2_1(a1008)
    | ~ c0_1(X1)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1017,2776,theory(equality)]) ).

cnf(2794,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp6
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2762,2529]) ).

cnf(2811,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp19
    | ~ c2_1(a1037) ),
    inference(csr,[status(thm)],[1954,59]) ).

cnf(2812,negated_conjecture,
    ( hskp2
    | hskp1
    | c0_1(a1041)
    | ~ hskp21 ),
    inference(csr,[status(thm)],[1955,51]) ).

cnf(2813,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp21 ),
    inference(csr,[status(thm)],[2812,50]) ).

cnf(2814,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(a1006)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[1533,111]) ).

cnf(2815,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2814,109]) ).

cnf(2833,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp25
    | ~ c2_1(a1048) ),
    inference(csr,[status(thm)],[1957,34]) ).

cnf(2834,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp10
    | hskp9
    | ~ hskp25 ),
    inference(spm,[status(thm)],[2833,2000,theory(equality)]) ).

cnf(2841,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp18
    | ~ c0_1(a1036) ),
    inference(csr,[status(thm)],[1538,61]) ).

cnf(2842,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp10
    | hskp9
    | c2_1(a1036)
    | ~ hskp18
    | ~ c1_1(a1036) ),
    inference(spm,[status(thm)],[2841,1085,theory(equality)]) ).

cnf(2871,negated_conjecture,
    ( hskp1
    | c2_1(a1015)
    | hskp0
    | ~ hskp11 ),
    inference(csr,[status(thm)],[2011,89]) ).

cnf(2886,negated_conjecture,
    ( hskp23
    | hskp3
    | c2_1(a1040)
    | ~ hskp29 ),
    inference(csr,[status(thm)],[1542,19]) ).

cnf(2887,negated_conjecture,
    ( hskp7
    | hskp23
    | hskp3
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1207,2886,theory(equality)]) ).

cnf(2890,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp23
    | ~ hskp29 ),
    inference(spm,[status(thm)],[1482,2886,theory(equality)]) ).

cnf(2893,negated_conjecture,
    ( hskp23
    | hskp7
    | ~ hskp29 ),
    inference(csr,[status(thm)],[2887,2059]) ).

cnf(2937,negated_conjecture,
    ( c1_1(a1038)
    | hskp1
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2016,53]) ).

cnf(2938,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp20 ),
    inference(csr,[status(thm)],[2937,54]) ).

cnf(2987,negated_conjecture,
    ( c1_1(a1052)
    | hskp1
    | hskp0
    | ~ hskp26 ),
    inference(csr,[status(thm)],[2020,29]) ).

cnf(3091,negated_conjecture,
    ( hskp12
    | hskp7
    | hskp6
    | ~ hskp4
    | ~ c1_1(a1004) ),
    inference(csr,[status(thm)],[2253,118]) ).

cnf(3092,negated_conjecture,
    ( hskp12
    | hskp7
    | hskp6
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3091,119]) ).

cnf(3097,negated_conjecture,
    ( hskp18
    | hskp10
    | c2_1(a1010)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[1630,101]) ).

cnf(3099,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp18
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1420,3097,theory(equality)]) ).

cnf(3141,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ hskp4
    | ~ c1_1(a1004) ),
    inference(csr,[status(thm)],[2740,118]) ).

cnf(3142,negated_conjecture,
    ( hskp7
    | hskp2
    | hskp1
    | ~ hskp4 ),
    inference(csr,[status(thm)],[3141,119]) ).

cnf(3154,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(a1052)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1636,29]) ).

cnf(3159,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp18
    | hskp10
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2272,3154,theory(equality)]) ).

cnf(3175,negated_conjecture,
    ( hskp22
    | hskp10
    | hskp6
    | ~ hskp26 ),
    inference(csr,[status(thm)],[3159,2269]) ).

cnf(3191,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1006)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[1722,109]) ).

cnf(3193,negated_conjecture,
    ( hskp26
    | hskp8
    | hskp28
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1756,3191,theory(equality)]) ).

cnf(3214,negated_conjecture,
    ( hskp28
    | hskp8
    | c2_1(a1015)
    | ~ hskp11 ),
    inference(csr,[status(thm)],[1724,89]) ).

cnf(3217,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1023)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[1725,81]) ).

cnf(3218,negated_conjecture,
    ( hskp28
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[3217,82]) ).

cnf(3219,negated_conjecture,
    ( hskp7
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1206,3218,theory(equality)]) ).

cnf(3220,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1391,3218,theory(equality)]) ).

cnf(3221,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp29
    | hskp23 ),
    inference(spm,[status(thm)],[3219,16,theory(equality)]) ).

cnf(3228,negated_conjecture,
    ( hskp26
    | hskp8
    | hskp12
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1816,3220,theory(equality)]) ).

cnf(3230,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1197,67]) ).

cnf(3236,negated_conjecture,
    ( c0_1(X1)
    | c0_1(a1032)
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1032) ),
    inference(spm,[status(thm)],[3230,66,theory(equality)]) ).

cnf(3250,negated_conjecture,
    ( hskp23
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[3221,2893]) ).

cnf(3251,negated_conjecture,
    ( hskp23
    | hskp7 ),
    inference(csr,[status(thm)],[3250,1211]) ).

cnf(3256,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8
    | hskp29
    | hskp23 ),
    inference(spm,[status(thm)],[3228,16,theory(equality)]) ).

cnf(3265,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp12
    | hskp8 ),
    inference(csr,[status(thm)],[3256,2003]) ).

cnf(3266,negated_conjecture,
    ( hskp26
    | hskp12
    | hskp8 ),
    inference(csr,[status(thm)],[3265,2110]) ).

cnf(3297,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(a1052)
    | ~ hskp26 ),
    inference(csr,[status(thm)],[1729,29]) ).

cnf(3299,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp28
    | hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2056,3297,theory(equality)]) ).

cnf(3301,negated_conjecture,
    ( hskp8
    | hskp7
    | hskp28
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2208,3297,theory(equality)]) ).

cnf(3308,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | ~ hskp24
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c2_1(a1045)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1199,39]) ).

cnf(3316,negated_conjecture,
    ( c0_1(X1)
    | c0_1(a1045)
    | ~ hskp24
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1045) ),
    inference(spm,[status(thm)],[3308,38,theory(equality)]) ).

cnf(3328,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[3301,1946]) ).

cnf(3329,negated_conjecture,
    ( hskp8
    | hskp7 ),
    inference(csr,[status(thm)],[3328,1206]) ).

cnf(3332,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp10
    | hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1391,3299,theory(equality)]) ).

cnf(3338,negated_conjecture,
    ( hskp12
    | hskp10
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[3332,3266]) ).

cnf(3371,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp3
    | c2_1(a1011)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1904,99,theory(equality)]) ).

cnf(3374,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp3
    | c2_1(a1043)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1904,47,theory(equality)]) ).

cnf(3431,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3371,97]) ).

cnf(3433,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp23
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2375,3431,theory(equality)]) ).

cnf(3454,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[3433,2815]) ).

cnf(3455,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3454,1389,theory(equality)]) ).

cnf(3462,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp3
    | hskp14
    | hskp6 ),
    inference(spm,[status(thm)],[3455,12,theory(equality)]) ).

cnf(3465,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[3462,2815]) ).

cnf(3466,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | hskp23 ),
    inference(spm,[status(thm)],[2476,3465,theory(equality)]) ).

cnf(3467,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp3 ),
    inference(csr,[status(thm)],[3466,2815]) ).

cnf(3495,negated_conjecture,
    ( hskp25
    | hskp23
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[3374,45]) ).

cnf(3506,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(a1006)
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1225,111]) ).

cnf(3507,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | ~ hskp6
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3506,109]) ).

cnf(3508,negated_conjecture,
    ( c1_1(a1001)
    | c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[3507,130,theory(equality)]) ).

cnf(3510,negated_conjecture,
    ( c1_1(a1010)
    | c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[3507,102,theory(equality)]) ).

cnf(3513,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1032)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3507,66,theory(equality)]) ).

cnf(3517,negated_conjecture,
    ( c1_1(a1029)
    | c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[3507,25,theory(equality)]) ).

cnf(3542,negated_conjecture,
    ( hskp2
    | c1_1(a1005)
    | c2_1(a1005)
    | c0_1(a1005)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[113,2594,theory(equality)]) ).

cnf(3547,negated_conjecture,
    ( hskp2
    | c1_1(a1037)
    | c2_1(a1037)
    | c0_1(a1037)
    | ~ hskp19 ),
    inference(spm,[status(thm)],[57,2594,theory(equality)]) ).

cnf(3564,negated_conjecture,
    ( hskp18
    | hskp10
    | c1_1(X1)
    | c2_1(X1)
    | hskp2
    | c0_1(X1) ),
    inference(spm,[status(thm)],[1083,2594,theory(equality)]) ).

cnf(3567,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | hskp2
    | c0_1(X1) ),
    inference(spm,[status(thm)],[1087,2594,theory(equality)]) ).

cnf(3612,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | c2_1(a1010)
    | ~ hskp8
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1226,103]) ).

cnf(3613,negated_conjecture,
    ( c1_1(a1001)
    | c3_1(X1)
    | c2_1(a1010)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1001)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[3612,130,theory(equality)]) ).

cnf(3618,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | c2_1(a1010)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1032)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3612,66,theory(equality)]) ).

cnf(3636,negated_conjecture,
    ( hskp2
    | c1_1(a1005)
    | c0_1(a1005)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3542,114]) ).

cnf(3637,negated_conjecture,
    ( hskp2
    | c0_1(a1005)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3636,115]) ).

cnf(3651,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp2
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2420,3637,theory(equality)]) ).

cnf(3652,negated_conjecture,
    ( hskp13
    | c1_1(a1005)
    | c1_1(X1)
    | c3_1(a1005)
    | c3_1(X1)
    | c2_1(X1)
    | hskp2
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1057,3637,theory(equality)]) ).

cnf(3687,negated_conjecture,
    ( hskp2
    | c1_1(a1037)
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3547,59]) ).

cnf(3688,negated_conjecture,
    ( hskp2
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[3687,58]) ).

cnf(3691,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2811,3688,theory(equality)]) ).

cnf(3693,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X2)
    | ~ hskp13
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c2_1(X2)
    | ~ c2_1(X1)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[1228,81]) ).

cnf(3699,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c2_1(a1032)
    | ~ c0_1(a1023)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[3693,66,theory(equality)]) ).

cnf(3730,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp2
    | c1_1(a1038)
    | c2_1(a1038)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[55,3564,theory(equality)]) ).

cnf(3769,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp2
    | c1_1(a1038)
    | c2_1(a1038)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[55,3567,theory(equality)]) ).

cnf(3786,negated_conjecture,
    ( hskp24
    | hskp15
    | hskp28
    | hskp8
    | hskp2
    | c1_1(a1023)
    | c2_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1570,3567,theory(equality)]) ).

cnf(3913,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp2
    | c1_1(a1038)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3730,53]) ).

cnf(3914,negated_conjecture,
    ( hskp18
    | hskp10
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3913,54]) ).

cnf(3933,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1683,1816]) ).

cnf(3934,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp3
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[121,3933,theory(equality)]) ).

cnf(3941,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp18
    | ~ c1_1(a1036) ),
    inference(spm,[status(thm)],[61,3933,theory(equality)]) ).

cnf(3964,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[3934,123]) ).

cnf(3976,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp18 ),
    inference(csr,[status(thm)],[3941,63]) ).

cnf(4051,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[1686,2529]) ).

cnf(4052,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | ~ hskp3
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[121,4051,theory(equality)]) ).

cnf(4059,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | ~ hskp18
    | ~ c1_1(a1036) ),
    inference(spm,[status(thm)],[61,4051,theory(equality)]) ).

cnf(4076,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[4052,123]) ).

cnf(4084,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | ~ hskp18 ),
    inference(csr,[status(thm)],[4059,63]) ).

cnf(4126,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp2
    | c1_1(a1038)
    | ~ hskp20 ),
    inference(csr,[status(thm)],[3769,53]) ).

cnf(4127,negated_conjecture,
    ( hskp28
    | hskp8
    | hskp2
    | ~ hskp20 ),
    inference(csr,[status(thm)],[4126,54]) ).

cnf(4129,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | hskp2
    | ~ hskp20 ),
    inference(spm,[status(thm)],[1391,4127,theory(equality)]) ).

cnf(4330,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | c2_1(a1003)
    | ~ hskp3
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[122,1842,theory(equality)]) ).

cnf(4372,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | c2_1(a1003)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[4330,123]) ).

cnf(4373,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | ~ hskp3 ),
    inference(csr,[status(thm)],[4372,121]) ).

cnf(4424,negated_conjecture,
    ( hskp25
    | hskp3
    | c1_1(a1005)
    | hskp1
    | hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2423,114]) ).

cnf(4425,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp1
    | hskp0
    | ~ hskp5 ),
    inference(csr,[status(thm)],[4424,115]) ).

cnf(4487,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp24
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c2_1(a1045) ),
    inference(csr,[status(thm)],[3316,37]) ).

cnf(4495,negated_conjecture,
    ( c0_1(a1045)
    | ~ hskp24
    | ~ c1_1(a1045)
    | ~ c2_1(a1045) ),
    inference(spm,[status(thm)],[4487,38,theory(equality)]) ).

cnf(4508,negated_conjecture,
    ( c0_1(a1045)
    | ~ hskp24
    | ~ c2_1(a1045) ),
    inference(csr,[status(thm)],[4495,39]) ).

cnf(4509,negated_conjecture,
    ( ~ hskp24
    | ~ c2_1(a1045) ),
    inference(csr,[status(thm)],[4508,37]) ).

cnf(4510,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[4509,1999,theory(equality)]) ).

cnf(4511,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[4509,2270,theory(equality)]) ).

cnf(4512,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp24
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[4509,3933,theory(equality)]) ).

cnf(4514,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[4511,1481,theory(equality)]) ).

cnf(4515,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp26
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[4511,2112,theory(equality)]) ).

cnf(4518,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp3
    | ~ hskp29 ),
    inference(spm,[status(thm)],[4511,2331,theory(equality)]) ).

cnf(4530,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[4512,39]) ).

cnf(4580,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9
    | hskp3
    | c2_1(a1036)
    | ~ hskp18 ),
    inference(csr,[status(thm)],[2842,63]) ).

cnf(4581,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9
    | hskp3
    | ~ hskp18 ),
    inference(csr,[status(thm)],[4580,61]) ).

cnf(4582,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9
    | ~ hskp18 ),
    inference(csr,[status(thm)],[4581,1869]) ).

cnf(4956,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | ~ c1_1(a1033)
    | ~ c2_1(a1033)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1449,23,theory(equality)]) ).

cnf(5061,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c2_1(a1011)
    | c0_1(X2)
    | ~ hskp9
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1336,98]) ).

cnf(5062,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ hskp9
    | ~ c2_1(X1)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[5061,97]) ).

cnf(5064,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a1002)
    | c0_1(X1)
    | ~ hskp9
    | ~ c2_1(a1002)
    | ~ c2_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[5062,127,theory(equality)]) ).

cnf(5066,negated_conjecture,
    ( c1_1(X1)
    | c1_1(a1010)
    | c0_1(X1)
    | ~ hskp9
    | ~ c2_1(a1010)
    | ~ c2_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[5062,103,theory(equality)]) ).

cnf(5148,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | hskp8
    | hskp2
    | c1_1(a1023)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[3786,3218]) ).

cnf(5149,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | hskp8
    | hskp2
    | ~ hskp13 ),
    inference(csr,[status(thm)],[5148,3218]) ).

cnf(5150,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | hskp8
    | ~ hskp13 ),
    inference(csr,[status(thm)],[5149,3218]) ).

cnf(5151,negated_conjecture,
    ( hskp28
    | hskp24
    | hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[5150,1531]) ).

cnf(5152,negated_conjecture,
    ( hskp7
    | hskp24
    | hskp15
    | ~ hskp13 ),
    inference(spm,[status(thm)],[1206,5151,theory(equality)]) ).

cnf(5201,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | ~ hskp28
    | ~ c1_1(a1033) ),
    inference(csr,[status(thm)],[4956,21]) ).

cnf(5202,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[5201,22]) ).

cnf(5203,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | hskp26
    | hskp8
    | ~ hskp6 ),
    inference(spm,[status(thm)],[5202,3193,theory(equality)]) ).

cnf(5205,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | hskp10
    | hskp9
    | hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[5202,3299,theory(equality)]) ).

cnf(5221,negated_conjecture,
    ( hskp26
    | hskp24
    | hskp23
    | hskp8
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[5203,2112]) ).

cnf(5222,negated_conjecture,
    ( hskp26
    | hskp24
    | hskp23
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[5221,1211]) ).

cnf(5267,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp10
    | hskp9
    | hskp8
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[5205,5222]) ).

cnf(5268,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp10
    | hskp9
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[5267,1211]) ).

cnf(5269,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp10
    | hskp9
    | hskp4 ),
    inference(csr,[status(thm)],[5268,1869]) ).

cnf(5270,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9
    | hskp4 ),
    inference(csr,[status(thm)],[5269,4510]) ).

cnf(6020,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp21
    | hskp3
    | c1_1(a1002)
    | ~ c2_1(a1002)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1590,127,theory(equality)]) ).

cnf(6074,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp21
    | hskp3
    | c1_1(a1002)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6020,126]) ).

cnf(6075,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp21
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[6074,125]) ).

cnf(6092,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1015)
    | c0_1(X2)
    | ~ hskp11
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1408,90]) ).

cnf(6096,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1015)
    | c0_1(a1015)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[6092,91,theory(equality)]) ).

cnf(6124,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(a1023)
    | c0_1(X2)
    | ~ hskp13
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1409,81]) ).

cnf(6129,negated_conjecture,
    ( c1_1(a1023)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1023)
    | ~ hskp13
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[6124,83,theory(equality)]) ).

cnf(6158,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c0_1(a1023)
    | ~ hskp13
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6129,82]) ).

cnf(6162,negated_conjecture,
    ( c1_1(a1008)
    | c0_1(a1023)
    | ~ hskp7
    | ~ hskp13
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,6158,theory(equality)]) ).

cnf(6167,negated_conjecture,
    ( c1_1(a1041)
    | c0_1(a1023)
    | ~ hskp21
    | ~ hskp13
    | ~ c2_1(a1041) ),
    inference(spm,[status(thm)],[49,6158,theory(equality)]) ).

cnf(6315,negated_conjecture,
    ( c1_1(a1008)
    | c0_1(a1023)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[6162,107]) ).

cnf(6316,negated_conjecture,
    ( c0_1(a1023)
    | ~ hskp13
    | ~ hskp7 ),
    inference(csr,[status(thm)],[6315,106]) ).

cnf(6319,negated_conjecture,
    ( hskp23
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1237,6316,theory(equality)]) ).

cnf(6325,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[1570,6316,theory(equality)]) ).

cnf(6348,negated_conjecture,
    ( hskp23
    | ~ hskp13 ),
    inference(csr,[status(thm)],[6319,3251]) ).

cnf(6349,negated_conjecture,
    ( hskp23
    | hskp29 ),
    inference(spm,[status(thm)],[6348,16,theory(equality)]) ).

cnf(6354,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[6348,2794,theory(equality)]) ).

cnf(6357,negated_conjecture,
    ( hskp24
    | hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[6325,5152]) ).

cnf(6360,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1045)
    | c0_1(X2)
    | ~ hskp24
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1412,37]) ).

cnf(6361,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp24
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6360,4509]) ).

cnf(6365,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1015)
    | ~ hskp24
    | ~ c2_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[6361,91,theory(equality)]) ).

cnf(6367,negated_conjecture,
    ( c1_1(a1032)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1032)
    | ~ hskp24
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[6361,66,theory(equality)]) ).

cnf(6383,negated_conjecture,
    ( hskp23
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[6354,6349]) ).

cnf(6456,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c2_1(a1052)
    | c0_1(X2)
    | ~ hskp26
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1413,30]) ).

cnf(6457,negated_conjecture,
    ( c1_1(X1)
    | c1_1(X2)
    | c3_1(X1)
    | c0_1(X2)
    | ~ hskp26
    | ~ c3_1(X2)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6456,29]) ).

cnf(6461,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1015)
    | ~ hskp26
    | ~ c2_1(X1)
    | ~ hskp11 ),
    inference(spm,[status(thm)],[6457,91,theory(equality)]) ).

cnf(6463,negated_conjecture,
    ( c1_1(a1032)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1032)
    | ~ hskp26
    | ~ c2_1(X1)
    | ~ hskp17 ),
    inference(spm,[status(thm)],[6457,66,theory(equality)]) ).

cnf(6466,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(a1052)
    | ~ hskp26
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[6457,31,theory(equality)]) ).

cnf(6479,negated_conjecture,
    ( c1_1(a1041)
    | c0_1(a1023)
    | ~ hskp21
    | ~ hskp13 ),
    inference(csr,[status(thm)],[6167,51]) ).

cnf(6564,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6466,30]) ).

cnf(6565,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1000)
    | ~ hskp0
    | ~ hskp26
    | ~ c2_1(a1000) ),
    inference(spm,[status(thm)],[133,6564,theory(equality)]) ).

cnf(6568,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp26
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,6564,theory(equality)]) ).

cnf(6569,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1012)
    | ~ hskp10
    | ~ hskp26
    | ~ c2_1(a1012) ),
    inference(spm,[status(thm)],[93,6564,theory(equality)]) ).

cnf(6572,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1037)
    | ~ hskp19
    | ~ hskp26
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[57,6564,theory(equality)]) ).

cnf(6581,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1052)
    | c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[1065,6564,theory(equality)]) ).

cnf(6625,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1000)
    | ~ hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[6565,134]) ).

cnf(6627,negated_conjecture,
    ( hskp10
    | hskp9
    | c1_1(a1000)
    | ~ hskp26
    | ~ hskp0 ),
    inference(spm,[status(thm)],[2056,6625,theory(equality)]) ).

cnf(6680,negated_conjecture,
    ( c1_1(a1052)
    | c1_1(a1008)
    | ~ hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[6568,107]) ).

cnf(6681,negated_conjecture,
    ( c1_1(a1052)
    | ~ hskp26
    | ~ hskp7 ),
    inference(csr,[status(thm)],[6680,106]) ).

cnf(6683,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[2056,6681,theory(equality)]) ).

cnf(6691,negated_conjecture,
    ( c1_1(a1052)
    | ~ hskp26
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[6569,94]) ).

cnf(6692,negated_conjecture,
    ( c1_1(a1052)
    | hskp25
    | hskp3
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6691,2469,theory(equality)]) ).

cnf(6722,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp25
    | hskp3
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[2272,6692,theory(equality)]) ).

cnf(6728,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp6
    | hskp3
    | ~ hskp26 ),
    inference(csr,[status(thm)],[6722,3175]) ).

cnf(6738,negated_conjecture,
    ( c1_1(a1052)
    | ~ hskp26
    | ~ hskp19
    | ~ c2_1(a1037) ),
    inference(csr,[status(thm)],[6572,58]) ).

cnf(6740,negated_conjecture,
    ( c1_1(a1052)
    | hskp2
    | ~ hskp26
    | ~ hskp19 ),
    inference(spm,[status(thm)],[6738,3688,theory(equality)]) ).

cnf(6746,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp2
    | ~ hskp26
    | ~ hskp19 ),
    inference(spm,[status(thm)],[2056,6740,theory(equality)]) ).

cnf(7401,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c1_1(X1)
    | c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1641,1752]) ).

cnf(7405,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c1_1(a1010)
    | c2_1(a1010)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[7401,103,theory(equality)]) ).

cnf(7409,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c1_1(a1043)
    | c2_1(a1043)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[7401,47,theory(equality)]) ).

cnf(7421,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c1_1(X1)
    | c2_1(X1)
    | hskp10
    | hskp2 ),
    inference(spm,[status(thm)],[7401,3564,theory(equality)]) ).

cnf(7472,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c2_1(a1010)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[7405,101]) ).

cnf(7525,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | c1_1(a1043)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[7409,45]) ).

cnf(7526,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | ~ hskp22 ),
    inference(csr,[status(thm)],[7525,46]) ).

cnf(7635,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | hskp2
    | c1_1(X1)
    | c2_1(X1) ),
    inference(csr,[status(thm)],[7421,1752]) ).

cnf(7640,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | hskp2
    | c1_1(a1023)
    | ~ hskp13 ),
    inference(spm,[status(thm)],[81,7635,theory(equality)]) ).

cnf(7646,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | hskp2
    | c1_1(a1052)
    | ~ hskp26 ),
    inference(spm,[status(thm)],[29,7635,theory(equality)]) ).

cnf(7707,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | hskp2
    | ~ hskp13 ),
    inference(csr,[status(thm)],[7640,82]) ).

cnf(7711,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp21
    | hskp3
    | hskp18
    | ~ hskp13 ),
    inference(spm,[status(thm)],[6075,7707,theory(equality)]) ).

cnf(7721,negated_conjecture,
    ( hskp26
    | hskp10
    | hskp8
    | hskp29
    | hskp24
    | hskp21
    | hskp3
    | ~ hskp13 ),
    inference(spm,[status(thm)],[3976,7711,theory(equality)]) ).

cnf(7748,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp29
    | hskp21
    | hskp18
    | hskp2
    | ~ hskp26 ),
    inference(spm,[status(thm)],[2272,7646,theory(equality)]) ).

cnf(7778,negated_conjecture,
    ( hskp29
    | hskp22
    | hskp21
    | hskp6
    | hskp2
    | ~ hskp26 ),
    inference(csr,[status(thm)],[7748,2269]) ).

cnf(7782,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp21
    | hskp3
    | hskp22
    | hskp6
    | ~ hskp26 ),
    inference(spm,[status(thm)],[6075,7778,theory(equality)]) ).

cnf(7800,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp22
    | hskp21
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[7782,14]) ).

cnf(7801,negated_conjecture,
    ( hskp29
    | hskp22
    | hskp21
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[7800,4511]) ).

cnf(7802,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[7801,4518]) ).

cnf(7922,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp21
    | hskp8
    | c1_1(a1043)
    | c2_1(a1043)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1734,47,theory(equality)]) ).

cnf(8075,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp24
    | hskp21
    | hskp10
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[7721,14]) ).

cnf(8076,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp24
    | hskp21
    | hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[8075,3964]) ).

cnf(8077,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp21
    | hskp10
    | hskp8 ),
    inference(csr,[status(thm)],[8076,4530]) ).

cnf(8078,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp21
    | hskp8 ),
    inference(csr,[status(thm)],[8077,1752]) ).

cnf(8148,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp21
    | hskp8
    | c1_1(a1043)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[7922,45]) ).

cnf(8149,negated_conjecture,
    ( hskp29
    | hskp28
    | hskp21
    | hskp8
    | ~ hskp22 ),
    inference(csr,[status(thm)],[8148,46]) ).

cnf(8153,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3
    | hskp29
    | hskp21
    | hskp8
    | ~ hskp22 ),
    inference(spm,[status(thm)],[5202,8149,theory(equality)]) ).

cnf(8168,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp23
    | hskp21
    | hskp8
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[8153,6349]) ).

cnf(8169,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp23
    | hskp21
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[8168,6349]) ).

cnf(8170,negated_conjecture,
    ( hskp29
    | hskp24
    | hskp23
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[8169,6349]) ).

cnf(8171,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[8170,2890]) ).

cnf(8436,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp6
    | hskp3
    | c2_1(a1011)
    | ~ c1_1(a1011)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[1901,99,theory(equality)]) ).

cnf(8511,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp6
    | hskp3
    | c2_1(a1011)
    | ~ hskp9 ),
    inference(csr,[status(thm)],[8436,98]) ).

cnf(8512,negated_conjecture,
    ( hskp25
    | hskp22
    | hskp6
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[8511,97]) ).

cnf(8513,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp22
    | hskp3
    | ~ hskp9 ),
    inference(spm,[status(thm)],[2375,8512,theory(equality)]) ).

cnf(8515,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | ~ hskp9 ),
    inference(csr,[status(thm)],[8513,4373]) ).

cnf(8518,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[8515,2721,theory(equality)]) ).

cnf(8534,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[8518,6383]) ).

cnf(8535,negated_conjecture,
    ( hskp22
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[8534,4373]) ).

cnf(8892,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp8
    | hskp3
    | c1_1(a1043)
    | c2_1(a1043)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[1908,47,theory(equality)]) ).

cnf(9009,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ c1_1(a1000)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[1598,134]) ).

cnf(9010,negated_conjecture,
    ( hskp17
    | ~ hskp0
    | ~ c1_1(a1000)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,9009,theory(equality)]) ).

cnf(9079,negated_conjecture,
    ( hskp17
    | ~ c1_1(a1000)
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9010,135]) ).

cnf(9080,negated_conjecture,
    ( hskp17
    | ~ c1_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9079,134]) ).

cnf(9082,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp9
    | ~ hskp0
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9080,6627,theory(equality)]) ).

cnf(9149,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1052)
    | c1_1(a1002)
    | ~ hskp26
    | ~ c2_1(a1002)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[6581,127,theory(equality)]) ).

cnf(9200,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1052)
    | c1_1(a1002)
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[9149,126]) ).

cnf(9201,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1052)
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[9200,125]) ).

cnf(9203,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp24
    | hskp3
    | ~ hskp26
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2056,9201,theory(equality)]) ).

cnf(9205,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp24
    | hskp3
    | ~ hskp26
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2272,9201,theory(equality)]) ).

cnf(9211,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[9203,1869]) ).

cnf(9212,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[9211,4510]) ).

cnf(9215,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp1
    | ~ hskp26
    | ~ hskp25 ),
    inference(spm,[status(thm)],[9212,2834,theory(equality)]) ).

cnf(9227,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp19 ),
    inference(spm,[status(thm)],[9212,6746,theory(equality)]) ).

cnf(9236,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp3
    | ~ hskp26
    | ~ hskp2 ),
    inference(csr,[status(thm)],[9205,4511]) ).

cnf(9238,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp3
    | hskp1
    | ~ hskp26
    | ~ hskp21 ),
    inference(spm,[status(thm)],[9236,2813,theory(equality)]) ).

cnf(9280,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp3
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[9238,7802]) ).

cnf(9314,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp8
    | hskp3
    | c1_1(a1043)
    | ~ hskp22 ),
    inference(csr,[status(thm)],[8892,45]) ).

cnf(9315,negated_conjecture,
    ( hskp28
    | hskp25
    | hskp8
    | hskp3
    | ~ hskp22 ),
    inference(csr,[status(thm)],[9314,46]) ).

cnf(9357,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ hskp23
    | ~ c2_1(a1044)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1606,42]) ).

cnf(9367,negated_conjecture,
    ( hskp17
    | ~ hskp23
    | ~ c2_1(a1044)
    | ~ c0_1(a1044) ),
    inference(spm,[status(thm)],[41,9357,theory(equality)]) ).

cnf(9422,negated_conjecture,
    ( hskp17
    | ~ hskp23
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[9367,43]) ).

cnf(9424,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[9422,2692,theory(equality)]) ).

cnf(9425,negated_conjecture,
    ( hskp17
    | hskp25
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[9422,2711,theory(equality)]) ).

cnf(9453,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ hskp27
    | ~ c1_1(a1029)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1607,26]) ).

cnf(9457,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp27
    | ~ c1_1(a1029)
    | ~ c2_1(a1008)
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,9453,theory(equality)]) ).

cnf(9546,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ hskp28
    | ~ c1_1(a1033)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1608,21]) ).

cnf(9547,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ hskp28
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[9546,22]) ).

cnf(9548,negated_conjecture,
    ( hskp17
    | ~ hskp0
    | ~ hskp28
    | ~ c2_1(a1000)
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,9547,theory(equality)]) ).

cnf(9551,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp28
    | ~ c2_1(a1008)
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,9547,theory(equality)]) ).

cnf(9552,negated_conjecture,
    ( hskp17
    | ~ hskp10
    | ~ hskp28
    | ~ c2_1(a1012)
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,9547,theory(equality)]) ).

cnf(9564,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp17
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[1065,9547,theory(equality)]) ).

cnf(9612,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9548,135]) ).

cnf(9613,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9612,134]) ).

cnf(9643,negated_conjecture,
    ( hskp17
    | c3_1(X1)
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1609,18]) ).

cnf(9644,negated_conjecture,
    ( hskp17
    | ~ hskp0
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ c2_1(a1000)
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,9643,theory(equality)]) ).

cnf(9647,negated_conjecture,
    ( hskp17
    | ~ hskp7
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ c2_1(a1008)
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,9643,theory(equality)]) ).

cnf(9715,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp7
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[9551,107]) ).

cnf(9716,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[9715,1206]) ).

cnf(9719,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp28
    | ~ hskp7 ),
    inference(spm,[status(thm)],[9716,2776,theory(equality)]) ).

cnf(9722,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp28 ),
    inference(csr,[status(thm)],[9719,1206]) ).

cnf(9724,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | hskp8
    | ~ hskp13 ),
    inference(spm,[status(thm)],[9722,3218,theory(equality)]) ).

cnf(9727,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[9722,4127,theory(equality)]) ).

cnf(9739,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[9552,95]) ).

cnf(9835,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ hskp7
    | ~ c1_1(a1029)
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[9457,107]) ).

cnf(9836,negated_conjecture,
    ( hskp17
    | ~ hskp27
    | ~ c1_1(a1029)
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[9835,1204]) ).

cnf(9839,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp27
    | ~ c1_1(a1029)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[9836,2776,theory(equality)]) ).

cnf(9842,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp27
    | ~ c1_1(a1029) ),
    inference(csr,[status(thm)],[9839,1204]) ).

cnf(9994,negated_conjecture,
    ( hskp17
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9644,135]) ).

cnf(9995,negated_conjecture,
    ( hskp17
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9994,134]) ).

cnf(9999,negated_conjecture,
    ( hskp17
    | hskp23
    | hskp3
    | ~ hskp29
    | ~ hskp0 ),
    inference(spm,[status(thm)],[9995,2886,theory(equality)]) ).

cnf(10010,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp3
    | ~ hskp0 ),
    inference(csr,[status(thm)],[9999,6349]) ).

cnf(10060,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c2_1(a1029)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1651,27]) ).

cnf(10061,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[10060,26]) ).

cnf(10066,negated_conjecture,
    ( hskp6
    | c2_1(a1011)
    | ~ hskp27
    | ~ c1_1(a1011)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[10061,99,theory(equality)]) ).

cnf(10070,negated_conjecture,
    ( hskp6
    | c2_1(a1044)
    | ~ hskp27
    | ~ c1_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[10061,43,theory(equality)]) ).

cnf(10074,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | hskp10
    | hskp9
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[10061,1085,theory(equality)]) ).

cnf(10104,negated_conjecture,
    ( hskp6
    | c2_1(X1)
    | ~ hskp29
    | ~ c1_1(X1)
    | ~ c2_1(a1040)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1652,19]) ).

cnf(10109,negated_conjecture,
    ( hskp6
    | c2_1(a1011)
    | ~ hskp29
    | ~ c1_1(a1011)
    | ~ c2_1(a1040)
    | ~ hskp9 ),
    inference(spm,[status(thm)],[10104,99,theory(equality)]) ).

cnf(10111,negated_conjecture,
    ( hskp6
    | c2_1(a1025)
    | ~ hskp29
    | ~ c1_1(a1025)
    | ~ c2_1(a1040)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[10104,79,theory(equality)]) ).

cnf(10145,negated_conjecture,
    ( hskp6
    | c2_1(a1011)
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[10066,98]) ).

cnf(10146,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp9 ),
    inference(csr,[status(thm)],[10145,97]) ).

cnf(10148,negated_conjecture,
    ( hskp6
    | hskp12
    | hskp3
    | ~ hskp27
    | ~ hskp23 ),
    inference(spm,[status(thm)],[10146,2721,theory(equality)]) ).

cnf(10184,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[10148,6383]) ).

cnf(10185,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3
    | hskp14 ),
    inference(spm,[status(thm)],[10184,12,theory(equality)]) ).

cnf(10187,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[10185,2476]) ).

cnf(10230,negated_conjecture,
    ( hskp17
    | ~ hskp29
    | ~ hskp7
    | ~ c2_1(a1040)
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[9647,107]) ).

cnf(10231,negated_conjecture,
    ( hskp17
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[10230,1207]) ).

cnf(10234,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp29
    | ~ c2_1(a1040)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[10231,2776,theory(equality)]) ).

cnf(10237,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp29
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[10234,1207]) ).

cnf(10241,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | hskp23
    | hskp3
    | ~ hskp29 ),
    inference(spm,[status(thm)],[10237,2886,theory(equality)]) ).

cnf(10284,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp3
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[10241,6349]) ).

cnf(10289,negated_conjecture,
    ( hskp6
    | c2_1(a1044)
    | ~ hskp27
    | ~ hskp23 ),
    inference(csr,[status(thm)],[10070,42]) ).

cnf(10290,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp23
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1203,10289,theory(equality)]) ).

cnf(10297,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[10290,3251]) ).

cnf(10298,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp14 ),
    inference(spm,[status(thm)],[10297,12,theory(equality)]) ).

cnf(10299,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp26 ),
    inference(spm,[status(thm)],[10297,11,theory(equality)]) ).

cnf(10500,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c3_1(X1)
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[1693,129]) ).

cnf(10508,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ c1_1(a1045)
    | ~ hskp1
    | ~ c0_1(a1001)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[10500,38,theory(equality)]) ).

cnf(10626,negated_conjecture,
    ( hskp15
    | c1_1(a1010)
    | c0_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[1695,103]) ).

cnf(10627,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[10626,101]) ).

cnf(10635,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ hskp8
    | ~ c1_1(a1045)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[10627,38,theory(equality)]) ).

cnf(10732,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ hskp8
    | ~ c1_1(a1045) ),
    inference(csr,[status(thm)],[10635,1531]) ).

cnf(10733,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ hskp8
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[37,10732,theory(equality)]) ).

cnf(10779,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ hskp8 ),
    inference(csr,[status(thm)],[10733,39]) ).

cnf(10780,negated_conjecture,
    ( hskp15
    | ~ hskp8 ),
    inference(csr,[status(thm)],[10779,1531]) ).

cnf(10788,negated_conjecture,
    ( hskp15
    | c0_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c3_1(X1)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[1697,82]) ).

cnf(10796,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ hskp13
    | ~ c1_1(a1045)
    | ~ c0_1(a1023)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[10788,38,theory(equality)]) ).

cnf(11049,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp3
    | ~ hskp28
    | ~ c2_1(a1033) ),
    inference(spm,[status(thm)],[9564,23,theory(equality)]) ).

cnf(11066,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | c0_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[1702,27]) ).

cnf(11074,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | c0_1(a1045)
    | ~ hskp27
    | ~ c1_1(a1045)
    | ~ hskp24 ),
    inference(spm,[status(thm)],[11066,38,theory(equality)]) ).

cnf(11102,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ c1_1(a1045)
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[10508,1528]) ).

cnf(11103,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ c1_1(a1045)
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(spm,[status(thm)],[37,11102,theory(equality)]) ).

cnf(11150,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[11103,39]) ).

cnf(11151,negated_conjecture,
    ( hskp15
    | ~ hskp1
    | ~ c0_1(a1001) ),
    inference(csr,[status(thm)],[11150,1528]) ).

cnf(11156,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp3
    | ~ hskp28 ),
    inference(csr,[status(thm)],[11049,21]) ).

cnf(11300,negated_conjecture,
    ( hskp10
    | hskp6
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[10074,10146]) ).

cnf(11301,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp3
    | ~ hskp27
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[121,11300,theory(equality)]) ).

cnf(11308,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp18
    | ~ hskp27
    | ~ c1_1(a1036) ),
    inference(spm,[status(thm)],[61,11300,theory(equality)]) ).

cnf(11324,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp24
    | ~ hskp27
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[4509,11300,theory(equality)]) ).

cnf(11352,negated_conjecture,
    ( hskp14
    | c2_1(a1006)
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1736,111]) ).

cnf(11353,negated_conjecture,
    ( hskp14
    | c0_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[11352,109]) ).

cnf(11358,negated_conjecture,
    ( hskp14
    | ~ hskp17
    | ~ hskp6
    | ~ c1_1(a1032)
    | ~ c2_1(a1032) ),
    inference(spm,[status(thm)],[65,11353,theory(equality)]) ).

cnf(11365,negated_conjecture,
    ( hskp7
    | hskp14
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp6 ),
    inference(spm,[status(thm)],[1099,11353,theory(equality)]) ).

cnf(11430,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp27
    | ~ hskp3 ),
    inference(csr,[status(thm)],[11301,123]) ).

cnf(11442,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp27
    | ~ hskp18 ),
    inference(csr,[status(thm)],[11308,63]) ).

cnf(11444,negated_conjecture,
    ( hskp10
    | hskp6
    | hskp24
    | hskp3
    | ~ hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[11442,3099,theory(equality)]) ).

cnf(11550,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp27
    | ~ hskp24 ),
    inference(csr,[status(thm)],[11324,39]) ).

cnf(11562,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[11444,1481]) ).

cnf(11563,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[11562,11430]) ).

cnf(11564,negated_conjecture,
    ( hskp10
    | hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[11563,11550]) ).

cnf(11578,negated_conjecture,
    ( hskp14
    | ~ hskp17
    | ~ hskp6
    | ~ c1_1(a1032) ),
    inference(csr,[status(thm)],[11358,67]) ).

cnf(11670,negated_conjecture,
    ( hskp14
    | hskp7
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[11365,10298]) ).

cnf(11688,negated_conjecture,
    ( hskp14
    | hskp7
    | hskp25
    | hskp3
    | ~ c1_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[11670,2711,theory(equality)]) ).

cnf(11838,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp7
    | hskp3
    | ~ c1_1(a1044) ),
    inference(csr,[status(thm)],[11688,3251]) ).

cnf(11839,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp3
    | ~ c1_1(a1044) ),
    inference(csr,[status(thm)],[11838,2473]) ).

cnf(11840,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[11839,42,theory(equality)]) ).

cnf(11853,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp3 ),
    inference(csr,[status(thm)],[11840,3251]) ).

cnf(12188,negated_conjecture,
    ( hskp8
    | c1_1(a1001)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[1789,131]) ).

cnf(12189,negated_conjecture,
    ( hskp8
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12188,129]) ).

cnf(12192,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ c1_1(a1019)
    | ~ hskp1
    | ~ c2_1(a1019) ),
    inference(spm,[status(thm)],[85,12189,theory(equality)]) ).

cnf(12194,negated_conjecture,
    ( hskp8
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ hskp1
    | ~ c2_1(a1032) ),
    inference(spm,[status(thm)],[65,12189,theory(equality)]) ).

cnf(12199,negated_conjecture,
    ( hskp8
    | ~ hskp25
    | ~ c1_1(a1048)
    | ~ hskp1
    | ~ c2_1(a1048) ),
    inference(spm,[status(thm)],[34,12189,theory(equality)]) ).

cnf(12203,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1063,12189,theory(equality)]) ).

cnf(12276,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ c1_1(a1019)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[12192,86]) ).

cnf(12277,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ hskp1 ),
    inference(csr,[status(thm)],[12276,87]) ).

cnf(12291,negated_conjecture,
    ( hskp8
    | hskp22
    | hskp6
    | hskp3
    | ~ hskp12
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12277,9280,theory(equality)]) ).

cnf(12305,negated_conjecture,
    ( hskp8
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[12194,67]) ).

cnf(12460,negated_conjecture,
    ( hskp8
    | ~ hskp25
    | ~ hskp1
    | ~ c2_1(a1048) ),
    inference(csr,[status(thm)],[12199,35]) ).

cnf(12461,negated_conjecture,
    ( hskp8
    | hskp10
    | hskp9
    | ~ hskp25
    | ~ hskp1 ),
    inference(spm,[status(thm)],[12460,2000,theory(equality)]) ).

cnf(12481,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | ~ hskp25
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12461,9215,theory(equality)]) ).

cnf(12484,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | hskp24
    | hskp19
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12481,8,theory(equality)]) ).

cnf(12545,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp6
    | hskp3
    | ~ hskp12 ),
    inference(csr,[status(thm)],[12291,4515]) ).

cnf(12546,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[12545,8535]) ).

cnf(12674,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp9
    | hskp8
    | ~ hskp26 ),
    inference(csr,[status(thm)],[12484,9227]) ).

cnf(12675,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | ~ hskp26 ),
    inference(csr,[status(thm)],[12674,4510]) ).

cnf(12900,negated_conjecture,
    ( hskp6
    | c2_1(a1011)
    | ~ hskp29
    | ~ hskp9
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[10109,98]) ).

cnf(12901,negated_conjecture,
    ( hskp6
    | ~ hskp29
    | ~ hskp9
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[12900,97]) ).

cnf(12903,negated_conjecture,
    ( hskp6
    | hskp22
    | ~ hskp29
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12901,2327,theory(equality)]) ).

cnf(12905,negated_conjecture,
    ( hskp6
    | hskp23
    | hskp3
    | ~ hskp29
    | ~ hskp9 ),
    inference(spm,[status(thm)],[12901,2886,theory(equality)]) ).

cnf(12931,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12905,6349]) ).

cnf(12932,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp9 ),
    inference(csr,[status(thm)],[12931,2815]) ).

cnf(13037,negated_conjecture,
    ( hskp6
    | ~ hskp29
    | ~ hskp14
    | ~ c1_1(a1025)
    | ~ c2_1(a1040) ),
    inference(csr,[status(thm)],[10111,78]) ).

cnf(13041,negated_conjecture,
    ( hskp6
    | hskp23
    | hskp3
    | ~ hskp29
    | ~ hskp14
    | ~ c1_1(a1025) ),
    inference(spm,[status(thm)],[13037,2886,theory(equality)]) ).

cnf(13085,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp3
    | ~ hskp14
    | ~ c1_1(a1025) ),
    inference(csr,[status(thm)],[13041,6349]) ).

cnf(13086,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp14
    | ~ c1_1(a1025) ),
    inference(csr,[status(thm)],[13085,2815]) ).

cnf(13276,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[12203,12277]) ).

cnf(13280,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a1004)
    | ~ hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[13276,118,theory(equality)]) ).

cnf(13286,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a1029)
    | ~ hskp1
    | ~ hskp27 ),
    inference(spm,[status(thm)],[13276,26,theory(equality)]) ).

cnf(13287,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a1033)
    | ~ hskp1
    | ~ hskp28 ),
    inference(spm,[status(thm)],[13276,21,theory(equality)]) ).

cnf(13304,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp26
    | hskp10
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13276,3933,theory(equality)]) ).

cnf(13337,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13280,119]) ).

cnf(13350,negated_conjecture,
    ( hskp6
    | c1_1(a1001)
    | c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1852,131]) ).

cnf(13351,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[13350,129]) ).

cnf(13352,negated_conjecture,
    ( hskp6
    | c1_1(a1000)
    | ~ hskp1
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[13351,135,theory(equality)]) ).

cnf(13353,negated_conjecture,
    ( hskp6
    | c1_1(a1002)
    | ~ hskp1
    | ~ c2_1(a1002)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[13351,127,theory(equality)]) ).

cnf(13357,negated_conjecture,
    ( hskp6
    | c1_1(a1012)
    | ~ hskp1
    | ~ c2_1(a1012)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[13351,95,theory(equality)]) ).

cnf(13403,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp23
    | ~ hskp27
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13286,1246,theory(equality)]) ).

cnf(13405,negated_conjecture,
    ( hskp6
    | c1_1(X1)
    | ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1854,101]) ).

cnf(13409,negated_conjecture,
    ( hskp6
    | c1_1(a1010)
    | ~ hskp8
    | ~ c2_1(a1010) ),
    inference(spm,[status(thm)],[13405,103,theory(equality)]) ).

cnf(13439,negated_conjecture,
    ( hskp23
    | hskp9
    | ~ hskp27
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13403,1211]) ).

cnf(13451,negated_conjecture,
    ( hskp23
    | hskp9
    | hskp22
    | hskp6
    | hskp3
    | ~ hskp27
    | ~ hskp26 ),
    inference(spm,[status(thm)],[13439,9280,theory(equality)]) ).

cnf(13461,negated_conjecture,
    ( hskp6
    | ~ hskp8
    | ~ c2_1(a1010) ),
    inference(csr,[status(thm)],[13409,101]) ).

cnf(13462,negated_conjecture,
    ( hskp6
    | hskp18
    | hskp10
    | ~ hskp8 ),
    inference(spm,[status(thm)],[13461,3097,theory(equality)]) ).

cnf(13475,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[4084,13462,theory(equality)]) ).

cnf(13523,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp28
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13287,22]) ).

cnf(13525,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp1
    | ~ hskp13 ),
    inference(spm,[status(thm)],[13523,3218,theory(equality)]) ).

cnf(13527,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp2
    | ~ hskp1
    | ~ hskp20 ),
    inference(spm,[status(thm)],[13523,4127,theory(equality)]) ).

cnf(13603,negated_conjecture,
    ( hskp6
    | c1_1(a1000)
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[13352,134]) ).

cnf(13604,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1144,13603,theory(equality)]) ).

cnf(13715,negated_conjecture,
    ( hskp6
    | c1_1(a1002)
    | ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13353,126]) ).

cnf(13716,negated_conjecture,
    ( hskp6
    | ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13715,125]) ).

cnf(13722,negated_conjecture,
    ( hskp6
    | hskp25
    | hskp3
    | ~ hskp1
    | ~ hskp5 ),
    inference(spm,[status(thm)],[13716,3651,theory(equality)]) ).

cnf(13752,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp3
    | hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[13722,4425,theory(equality)]) ).

cnf(13873,negated_conjecture,
    ( hskp6
    | ~ hskp10
    | ~ hskp1
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[13357,94]) ).

cnf(13920,negated_conjecture,
    ( hskp6
    | c1_1(a1029)
    | c1_1(X1)
    | ~ hskp27
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1861,26]) ).

cnf(13930,negated_conjecture,
    ( hskp6
    | c1_1(a1029)
    | ~ hskp27
    | ~ c2_1(a1029) ),
    inference(spm,[status(thm)],[13920,27,theory(equality)]) ).

cnf(13994,negated_conjecture,
    ( hskp6
    | c1_1(a1029)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13930,26]) ).

cnf(14503,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[13304,12675]) ).

cnf(14507,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | ~ hskp1
    | ~ hskp12 ),
    inference(spm,[status(thm)],[14503,87,theory(equality)]) ).

cnf(14562,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[14507,3338]) ).

cnf(14806,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp9
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[13451,4514]) ).

cnf(14807,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp9
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[14806,2815]) ).

cnf(14808,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[14807,12932]) ).

cnf(14927,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c2_1(a1029) ),
    inference(csr,[status(thm)],[1921,27]) ).

cnf(14928,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[14927,26]) ).

cnf(14939,negated_conjecture,
    ( hskp6
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp27
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[33,14928,theory(equality)]) ).

cnf(15297,negated_conjecture,
    ( hskp6
    | c0_1(a1048)
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[14939,35]) ).

cnf(15298,negated_conjecture,
    ( hskp6
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[15297,34]) ).

cnf(15302,negated_conjecture,
    ( hskp6
    | hskp23
    | hskp3
    | ~ hskp27
    | ~ hskp22 ),
    inference(spm,[status(thm)],[15298,3495,theory(equality)]) ).

cnf(15356,negated_conjecture,
    ( hskp23
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[15302,14808]) ).

cnf(15357,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[15356,2815]) ).

cnf(15358,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp14
    | hskp6 ),
    inference(spm,[status(thm)],[15357,12,theory(equality)]) ).

cnf(15360,negated_conjecture,
    ( hskp23
    | hskp14
    | hskp3 ),
    inference(csr,[status(thm)],[15358,2815]) ).

cnf(15834,negated_conjecture,
    ( hskp15
    | c0_1(a1045)
    | ~ hskp13
    | ~ c1_1(a1045)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[10796,6357]) ).

cnf(15835,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ hskp13
    | ~ c1_1(a1045)
    | ~ c0_1(a1023) ),
    inference(spm,[status(thm)],[37,15834,theory(equality)]) ).

cnf(15893,negated_conjecture,
    ( hskp15
    | ~ hskp24
    | ~ hskp13
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[15835,39]) ).

cnf(15894,negated_conjecture,
    ( hskp15
    | ~ hskp13
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[15893,6357]) ).

cnf(15900,negated_conjecture,
    ( hskp15
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[15894,6316,theory(equality)]) ).

cnf(15903,negated_conjecture,
    ( hskp15
    | c1_1(a1041)
    | ~ hskp13
    | ~ hskp21 ),
    inference(spm,[status(thm)],[15894,6479,theory(equality)]) ).

cnf(16022,negated_conjecture,
    ( hskp12
    | hskp6
    | hskp15
    | ~ hskp21
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2370,15903,theory(equality)]) ).

cnf(16081,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp6
    | hskp7
    | hskp4
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16022,9,theory(equality)]) ).

cnf(16245,negated_conjecture,
    ( hskp5
    | c1_1(a1015)
    | ~ hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1982,90]) ).

cnf(16246,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[16245,89]) ).

cnf(16247,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(a1000)
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[16246,135,theory(equality)]) ).

cnf(16255,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ hskp23 ),
    inference(spm,[status(thm)],[16246,43,theory(equality)]) ).

cnf(16256,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(a1029)
    | ~ c2_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[16246,27,theory(equality)]) ).

cnf(16257,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(a1033)
    | ~ c2_1(a1033)
    | ~ hskp28 ),
    inference(spm,[status(thm)],[16246,23,theory(equality)]) ).

cnf(16287,negated_conjecture,
    ( hskp5
    | ~ hskp11
    | ~ c1_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[16247,134]) ).

cnf(16291,negated_conjecture,
    ( hskp5
    | hskp6
    | ~ hskp11
    | ~ hskp0
    | ~ hskp1 ),
    inference(spm,[status(thm)],[16287,13603,theory(equality)]) ).

cnf(16354,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | ~ hskp17
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[1984,65]) ).

cnf(16429,negated_conjecture,
    ( hskp5
    | ~ hskp23
    | ~ hskp11
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[16255,42]) ).

cnf(16456,negated_conjecture,
    ( hskp5
    | ~ hskp27
    | ~ hskp11
    | ~ c1_1(a1029) ),
    inference(csr,[status(thm)],[16256,26]) ).

cnf(16459,negated_conjecture,
    ( hskp5
    | hskp6
    | ~ hskp27
    | ~ hskp11 ),
    inference(spm,[status(thm)],[16456,13994,theory(equality)]) ).

cnf(16505,negated_conjecture,
    ( hskp5
    | ~ hskp28
    | ~ hskp11
    | ~ c1_1(a1033) ),
    inference(csr,[status(thm)],[16257,21]) ).

cnf(16506,negated_conjecture,
    ( hskp5
    | ~ hskp28
    | ~ hskp11 ),
    inference(csr,[status(thm)],[16505,22]) ).

cnf(16508,negated_conjecture,
    ( hskp5
    | hskp8
    | ~ hskp11
    | ~ hskp13 ),
    inference(spm,[status(thm)],[16506,3218,theory(equality)]) ).

cnf(16559,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp7
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[16081,3092]) ).

cnf(16560,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp6
    | ~ hskp13 ),
    inference(csr,[status(thm)],[16559,15900]) ).

cnf(16903,negated_conjecture,
    ( hskp22
    | c1_1(a1010)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp8
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2040,103]) ).

cnf(16904,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp8
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[16903,101]) ).

cnf(16914,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp23
    | ~ hskp8
    | ~ c1_1(a1044) ),
    inference(spm,[status(thm)],[41,16904,theory(equality)]) ).

cnf(16915,negated_conjecture,
    ( hskp22
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp8
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[33,16904,theory(equality)]) ).

cnf(16925,negated_conjecture,
    ( hskp22
    | hskp6
    | c2_1(X1)
    | ~ c1_1(X1)
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1071,16904,theory(equality)]) ).

cnf(17006,negated_conjecture,
    ( hskp22
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[2042,82]) ).

cnf(17166,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp23
    | ~ hskp8 ),
    inference(csr,[status(thm)],[16914,42]) ).

cnf(17167,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp8 ),
    inference(csr,[status(thm)],[17166,1211]) ).

cnf(17168,negated_conjecture,
    ( hskp7
    | hskp22
    | ~ hskp23
    | ~ hskp8 ),
    inference(spm,[status(thm)],[1203,17167,theory(equality)]) ).

cnf(17174,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ hskp23
    | ~ hskp8 ),
    inference(spm,[status(thm)],[9422,17167,theory(equality)]) ).

cnf(17179,negated_conjecture,
    ( hskp5
    | hskp22
    | ~ hskp23
    | ~ hskp11
    | ~ hskp8 ),
    inference(spm,[status(thm)],[16429,17167,theory(equality)]) ).

cnf(17181,negated_conjecture,
    ( hskp22
    | hskp7
    | ~ hskp23 ),
    inference(csr,[status(thm)],[17168,3329]) ).

cnf(17182,negated_conjecture,
    ( hskp22
    | hskp7 ),
    inference(csr,[status(thm)],[17181,3251]) ).

cnf(17184,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ hskp8 ),
    inference(csr,[status(thm)],[17174,1211]) ).

cnf(17199,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp11
    | ~ hskp8 ),
    inference(csr,[status(thm)],[17179,1211]) ).

cnf(17211,negated_conjecture,
    ( hskp22
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp8 ),
    inference(csr,[status(thm)],[16915,35]) ).

cnf(17226,negated_conjecture,
    ( hskp22
    | c1_1(a1029)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp27
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2047,27]) ).

cnf(17534,negated_conjecture,
    ( hskp19
    | c1_1(a1000)
    | c1_1(X1)
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2066,134]) ).

cnf(17535,negated_conjecture,
    ( hskp19
    | c1_1(a1000)
    | ~ hskp0
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,17534,theory(equality)]) ).

cnf(17608,negated_conjecture,
    ( hskp19
    | c1_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[17535,135]) ).

cnf(17609,negated_conjecture,
    ( hskp7
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1144,17608,theory(equality)]) ).

cnf(17613,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1560,17608,theory(equality)]) ).

cnf(17620,negated_conjecture,
    ( hskp17
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[9080,17608,theory(equality)]) ).

cnf(17723,negated_conjecture,
    ( hskp19
    | c1_1(a1002)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp2
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2067,126]) ).

cnf(17724,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp2
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[17723,125]) ).

cnf(17727,negated_conjecture,
    ( hskp19
    | c1_1(a1005)
    | ~ hskp5
    | ~ hskp2
    | ~ c0_1(a1005) ),
    inference(spm,[status(thm)],[113,17724,theory(equality)]) ).

cnf(17728,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp2
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,17724,theory(equality)]) ).

cnf(17729,negated_conjecture,
    ( hskp19
    | c1_1(a1012)
    | ~ hskp10
    | ~ hskp2
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,17724,theory(equality)]) ).

cnf(17736,negated_conjecture,
    ( hskp23
    | c1_1(X1)
    | hskp19
    | ~ c0_1(X1)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[1101,17724,theory(equality)]) ).

cnf(17814,negated_conjecture,
    ( hskp19
    | ~ hskp5
    | ~ hskp2
    | ~ c0_1(a1005) ),
    inference(csr,[status(thm)],[17727,115]) ).

cnf(17848,negated_conjecture,
    ( hskp19
    | ~ hskp7
    | ~ hskp2
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[17728,106]) ).

cnf(17861,negated_conjecture,
    ( hskp19
    | c1_1(a1012)
    | ~ hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[17729,95]) ).

cnf(17862,negated_conjecture,
    ( hskp19
    | ~ hskp10
    | ~ hskp2 ),
    inference(csr,[status(thm)],[17861,94]) ).

cnf(17864,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp10
    | ~ hskp21 ),
    inference(spm,[status(thm)],[17862,2813,theory(equality)]) ).

cnf(17881,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp10
    | ~ hskp20
    | ~ hskp1 ),
    inference(spm,[status(thm)],[17862,13527,theory(equality)]) ).

cnf(17884,negated_conjecture,
    ( hskp8
    | hskp19
    | ~ hskp12
    | ~ hskp21
    | ~ hskp10 ),
    inference(spm,[status(thm)],[12277,17864,theory(equality)]) ).

cnf(18033,negated_conjecture,
    ( hskp19
    | hskp8
    | hskp29
    | hskp26
    | ~ hskp12
    | ~ hskp10 ),
    inference(spm,[status(thm)],[17884,8078,theory(equality)]) ).

cnf(18303,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp10
    | ~ c2_1(a1012)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2071,94]) ).

cnf(18308,negated_conjecture,
    ( hskp19
    | c1_1(a1012)
    | ~ hskp10
    | ~ c2_1(a1012)
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,18303,theory(equality)]) ).

cnf(18416,negated_conjecture,
    ( hskp19
    | c1_1(a1012)
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[18308,95]) ).

cnf(18417,negated_conjecture,
    ( hskp19
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[18416,94]) ).

cnf(18418,negated_conjecture,
    ( hskp19
    | hskp25
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[18417,2469,theory(equality)]) ).

cnf(18433,negated_conjecture,
    ( hskp6
    | hskp19
    | hskp3
    | ~ hskp27
    | ~ hskp10 ),
    inference(spm,[status(thm)],[15298,18418,theory(equality)]) ).

cnf(18437,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[18433,11564]) ).

cnf(18450,negated_conjecture,
    ( hskp23
    | hskp19
    | c1_1(a1002)
    | ~ hskp2 ),
    inference(spm,[status(thm)],[17736,127,theory(equality)]) ).

cnf(18483,negated_conjecture,
    ( hskp23
    | hskp19
    | ~ hskp2 ),
    inference(csr,[status(thm)],[18450,125]) ).

cnf(18492,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp12
    | hskp9
    | hskp8
    | ~ hskp20 ),
    inference(spm,[status(thm)],[18483,4129,theory(equality)]) ).

cnf(18814,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp20
    | ~ hskp1 ),
    inference(csr,[status(thm)],[17881,14562]) ).

cnf(18815,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[18814,2938,theory(equality)]) ).

cnf(19195,negated_conjecture,
    ( hskp29
    | hskp26
    | hskp19
    | hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[18033,3266]) ).

cnf(19196,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8
    | ~ hskp10 ),
    inference(csr,[status(thm)],[19195,2062]) ).

cnf(19201,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8
    | ~ hskp3 ),
    inference(spm,[status(thm)],[19196,3964,theory(equality)]) ).

cnf(19209,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8
    | ~ hskp24 ),
    inference(spm,[status(thm)],[19196,4530,theory(equality)]) ).

cnf(19239,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8
    | hskp3 ),
    inference(spm,[status(thm)],[19209,2112,theory(equality)]) ).

cnf(19248,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c2_1(a1044)
    | ~ hskp23
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2087,41]) ).

cnf(19322,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp8 ),
    inference(csr,[status(thm)],[19239,19201]) ).

cnf(19403,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2089,33]) ).

cnf(19736,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp12
    | hskp9
    | ~ hskp20 ),
    inference(csr,[status(thm)],[18492,1211]) ).

cnf(21103,negated_conjecture,
    ( hskp11
    | c1_1(a1010)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2132,103]) ).

cnf(21104,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[21103,101]) ).

cnf(21106,negated_conjecture,
    ( hskp11
    | c0_1(a1004)
    | ~ hskp4
    | ~ hskp8
    | ~ c2_1(a1004) ),
    inference(spm,[status(thm)],[117,21104,theory(equality)]) ).

cnf(21108,negated_conjecture,
    ( hskp11
    | c0_1(a1008)
    | ~ hskp7
    | ~ hskp8
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,21104,theory(equality)]) ).

cnf(21112,negated_conjecture,
    ( hskp11
    | c0_1(a1037)
    | ~ hskp19
    | ~ hskp8
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[57,21104,theory(equality)]) ).

cnf(21115,negated_conjecture,
    ( hskp11
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp8
    | ~ c2_1(a1048) ),
    inference(spm,[status(thm)],[33,21104,theory(equality)]) ).

cnf(21181,negated_conjecture,
    ( hskp11
    | c0_1(a1004)
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[21106,118]) ).

cnf(21182,negated_conjecture,
    ( hskp7
    | hskp11
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1099,21181,theory(equality)]) ).

cnf(21263,negated_conjecture,
    ( hskp11
    | c0_1(a1008)
    | ~ hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[21108,107]) ).

cnf(21302,negated_conjecture,
    ( hskp17
    | hskp11
    | ~ hskp27
    | ~ c1_1(a1029)
    | ~ hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[9836,21263,theory(equality)]) ).

cnf(21599,negated_conjecture,
    ( hskp11
    | ~ hskp19
    | ~ hskp8
    | ~ c2_1(a1037) ),
    inference(csr,[status(thm)],[21112,59]) ).

cnf(21601,negated_conjecture,
    ( hskp11
    | hskp2
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[21599,3688,theory(equality)]) ).

cnf(21862,negated_conjecture,
    ( hskp11
    | ~ hskp25
    | ~ hskp8
    | ~ c2_1(a1048) ),
    inference(csr,[status(thm)],[21115,34]) ).

cnf(21863,negated_conjecture,
    ( hskp11
    | hskp10
    | hskp9
    | ~ hskp25
    | ~ hskp8 ),
    inference(spm,[status(thm)],[21862,2000,theory(equality)]) ).

cnf(21873,negated_conjecture,
    ( hskp11
    | hskp22
    | ~ hskp25
    | ~ hskp8 ),
    inference(spm,[status(thm)],[21862,17211,theory(equality)]) ).

cnf(21897,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp8
    | ~ hskp25 ),
    inference(spm,[status(thm)],[17199,21873,theory(equality)]) ).

cnf(21906,negated_conjecture,
    ( hskp22
    | hskp5
    | hskp6
    | hskp3
    | ~ hskp8
    | ~ hskp26 ),
    inference(spm,[status(thm)],[21897,6728,theory(equality)]) ).

cnf(22233,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp5
    | hskp3
    | ~ hskp26 ),
    inference(csr,[status(thm)],[21906,12546]) ).

cnf(22394,negated_conjecture,
    ( hskp17
    | hskp11
    | ~ hskp27
    | ~ hskp8
    | ~ c1_1(a1029) ),
    inference(csr,[status(thm)],[21302,1204]) ).

cnf(22441,negated_conjecture,
    ( hskp11
    | hskp7
    | ~ hskp4
    | ~ c1_1(a1004)
    | ~ c2_1(a1004) ),
    inference(csr,[status(thm)],[21182,3329]) ).

cnf(22442,negated_conjecture,
    ( hskp11
    | hskp7
    | ~ hskp4
    | ~ c1_1(a1004) ),
    inference(csr,[status(thm)],[22441,118]) ).

cnf(22443,negated_conjecture,
    ( hskp11
    | hskp7
    | ~ hskp4 ),
    inference(csr,[status(thm)],[22442,119]) ).

cnf(22814,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | c0_1(a1045)
    | ~ hskp27
    | ~ c1_1(a1045) ),
    inference(csr,[status(thm)],[11074,1624]) ).

cnf(22815,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | ~ hskp24
    | ~ hskp27
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[37,22814,theory(equality)]) ).

cnf(22886,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(a1045)
    | c0_1(X1)
    | ~ hskp24
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2173,39]) ).

cnf(22887,negated_conjecture,
    ( hskp11
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp24
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[22886,37]) ).

cnf(22889,negated_conjecture,
    ( hskp11
    | c0_1(a1004)
    | ~ hskp4
    | ~ hskp24
    | ~ c1_1(a1004) ),
    inference(spm,[status(thm)],[117,22887,theory(equality)]) ).

cnf(22898,negated_conjecture,
    ( hskp11
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp24
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[33,22887,theory(equality)]) ).

cnf(22971,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | ~ hskp27
    | ~ hskp24 ),
    inference(csr,[status(thm)],[22815,39]) ).

cnf(22972,negated_conjecture,
    ( hskp15
    | c1_1(a1029)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[22971,1624]) ).

cnf(22983,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | hskp15
    | ~ hskp27 ),
    inference(spm,[status(thm)],[9842,22972,theory(equality)]) ).

cnf(22986,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp15
    | ~ hskp27
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13286,22972,theory(equality)]) ).

cnf(23070,negated_conjecture,
    ( hskp15
    | hskp9
    | ~ hskp27
    | ~ hskp1 ),
    inference(csr,[status(thm)],[22986,10780]) ).

cnf(23201,negated_conjecture,
    ( hskp11
    | c0_1(a1004)
    | ~ hskp24
    | ~ hskp4 ),
    inference(csr,[status(thm)],[22889,119]) ).

cnf(23485,negated_conjecture,
    ( hskp11
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp24 ),
    inference(csr,[status(thm)],[22898,35]) ).

cnf(23486,negated_conjecture,
    ( hskp11
    | ~ hskp25
    | ~ hskp24 ),
    inference(csr,[status(thm)],[23485,34]) ).

cnf(24001,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(a1004)
    | c3_1(X1)
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2186,119]) ).

cnf(24002,negated_conjecture,
    ( hskp10
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp4
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[24001,117]) ).

cnf(24006,negated_conjecture,
    ( hskp10
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp4
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,24002,theory(equality)]) ).

cnf(24014,negated_conjecture,
    ( hskp23
    | c1_1(X1)
    | hskp10
    | ~ c0_1(X1)
    | ~ hskp4 ),
    inference(spm,[status(thm)],[1101,24002,theory(equality)]) ).

cnf(24317,negated_conjecture,
    ( hskp10
    | ~ hskp7
    | ~ hskp4
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[24006,106]) ).

cnf(24334,negated_conjecture,
    ( hskp10
    | hskp11
    | ~ hskp7
    | ~ hskp4
    | ~ hskp8 ),
    inference(spm,[status(thm)],[24317,21263,theory(equality)]) ).

cnf(24352,negated_conjecture,
    ( hskp11
    | hskp10
    | ~ hskp8
    | ~ hskp4 ),
    inference(csr,[status(thm)],[24334,22443]) ).

cnf(24666,negated_conjecture,
    ( hskp23
    | hskp10
    | c1_1(a1002)
    | ~ hskp4
    | ~ hskp2 ),
    inference(spm,[status(thm)],[24014,127,theory(equality)]) ).

cnf(24716,negated_conjecture,
    ( hskp23
    | hskp10
    | ~ hskp4
    | ~ hskp2 ),
    inference(csr,[status(thm)],[24666,125]) ).

cnf(24724,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp18
    | ~ hskp4
    | ~ hskp20 ),
    inference(spm,[status(thm)],[24716,3914,theory(equality)]) ).

cnf(24797,negated_conjecture,
    ( hskp23
    | hskp18
    | hskp10
    | ~ hskp4 ),
    inference(csr,[status(thm)],[24724,13]) ).

cnf(24801,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9
    | ~ hskp4 ),
    inference(spm,[status(thm)],[4582,24797,theory(equality)]) ).

cnf(24810,negated_conjecture,
    ( hskp23
    | hskp10
    | hskp9 ),
    inference(csr,[status(thm)],[24801,5270]) ).

cnf(25109,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1001)
    | ~ c1_1(X1)
    | ~ hskp1 ),
    inference(csr,[status(thm)],[2215,131]) ).

cnf(25285,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp11
    | ~ c1_1(X1)
    | ~ c2_1(a1015) ),
    inference(csr,[status(thm)],[2218,90]) ).

cnf(25429,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1032)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2220,67]) ).

cnf(25430,negated_conjecture,
    ( hskp9
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp17
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[25429,65]) ).

cnf(25440,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp23
    | ~ hskp17
    | ~ c1_1(a1044) ),
    inference(spm,[status(thm)],[41,25430,theory(equality)]) ).

cnf(25441,negated_conjecture,
    ( hskp9
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp17
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[33,25430,theory(equality)]) ).

cnf(25858,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp23
    | ~ hskp17 ),
    inference(csr,[status(thm)],[25440,42]) ).

cnf(25859,negated_conjecture,
    ( hskp7
    | hskp9
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1203,25858,theory(equality)]) ).

cnf(25860,negated_conjecture,
    ( hskp12
    | hskp9
    | ~ hskp23
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1387,25858,theory(equality)]) ).

cnf(25873,negated_conjecture,
    ( hskp9
    | hskp7
    | ~ hskp17 ),
    inference(csr,[status(thm)],[25859,3251]) ).

cnf(25875,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp10
    | ~ hskp26
    | ~ hskp0 ),
    inference(spm,[status(thm)],[25873,9082,theory(equality)]) ).

cnf(25878,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp13
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[25873,9424,theory(equality)]) ).

cnf(25929,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp13
    | hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[25860,9424,theory(equality)]) ).

cnf(25930,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp25
    | hskp3
    | ~ hskp23 ),
    inference(spm,[status(thm)],[25860,9425,theory(equality)]) ).

cnf(26040,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26
    | ~ hskp0 ),
    inference(csr,[status(thm)],[25875,6683]) ).

cnf(26068,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp19
    | hskp8
    | ~ hskp26
    | ~ hskp20 ),
    inference(spm,[status(thm)],[26040,18815,theory(equality)]) ).

cnf(26083,negated_conjecture,
    ( hskp13
    | hskp9
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[25878,3251]) ).

cnf(26084,negated_conjecture,
    ( hskp13
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[26083,2529]) ).

cnf(26118,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[25929,6383]) ).

cnf(26119,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[26118,2529]) ).

cnf(26178,negated_conjecture,
    ( hskp25
    | hskp12
    | hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[25930,3467]) ).

cnf(26267,negated_conjecture,
    ( hskp9
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp17 ),
    inference(csr,[status(thm)],[25441,35]) ).

cnf(26268,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp9
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[1559,26267,theory(equality)]) ).

cnf(26271,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp9
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2833,26267,theory(equality)]) ).

cnf(26279,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp25
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[21862,26267,theory(equality)]) ).

cnf(26303,negated_conjecture,
    ( hskp23
    | hskp9
    | hskp4
    | hskp3
    | ~ hskp25
    | ~ hskp0 ),
    inference(spm,[status(thm)],[26268,10010,theory(equality)]) ).

cnf(26342,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | hskp8
    | ~ hskp25
    | ~ hskp13 ),
    inference(spm,[status(thm)],[26271,9724,theory(equality)]) ).

cnf(26343,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | hskp8
    | ~ hskp25
    | ~ hskp20 ),
    inference(spm,[status(thm)],[26271,9727,theory(equality)]) ).

cnf(26357,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | hskp23
    | hskp3
    | ~ hskp25 ),
    inference(spm,[status(thm)],[26271,10284,theory(equality)]) ).

cnf(26376,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | hskp15
    | ~ hskp25
    | ~ hskp27 ),
    inference(spm,[status(thm)],[26271,22983,theory(equality)]) ).

cnf(26761,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(a1006)
    | c0_1(X1)
    | ~ hskp6
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2233,111]) ).

cnf(26762,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp6
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[26761,109]) ).

cnf(26764,negated_conjecture,
    ( hskp4
    | c1_1(a1015)
    | ~ hskp11
    | ~ hskp6
    | ~ c2_1(a1015) ),
    inference(spm,[status(thm)],[90,26762,theory(equality)]) ).

cnf(26766,negated_conjecture,
    ( hskp4
    | c1_1(a1026)
    | ~ hskp15
    | ~ hskp6
    | ~ c2_1(a1026) ),
    inference(spm,[status(thm)],[74,26762,theory(equality)]) ).

cnf(26767,negated_conjecture,
    ( hskp4
    | c1_1(a1032)
    | ~ hskp17
    | ~ hskp6
    | ~ c2_1(a1032) ),
    inference(spm,[status(thm)],[65,26762,theory(equality)]) ).

cnf(26768,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ hskp19
    | ~ hskp6
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[59,26762,theory(equality)]) ).

cnf(26890,negated_conjecture,
    ( hskp4
    | ~ hskp11
    | ~ hskp6
    | ~ c2_1(a1015) ),
    inference(csr,[status(thm)],[26764,89]) ).

cnf(26893,negated_conjecture,
    ( hskp4
    | hskp28
    | hskp8
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[26890,3214,theory(equality)]) ).

cnf(26924,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c2_1(a1010)
    | c0_1(X1)
    | ~ hskp8
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2234,103]) ).

cnf(27043,negated_conjecture,
    ( hskp5
    | hskp8
    | hskp4
    | ~ hskp11
    | ~ hskp6 ),
    inference(spm,[status(thm)],[16506,26893,theory(equality)]) ).

cnf(27058,negated_conjecture,
    ( hskp8
    | hskp5
    | hskp4
    | ~ hskp6
    | ~ hskp25
    | ~ hskp24 ),
    inference(spm,[status(thm)],[27043,23486,theory(equality)]) ).

cnf(27067,negated_conjecture,
    ( hskp4
    | c1_1(a1026)
    | ~ hskp15
    | ~ hskp6 ),
    inference(csr,[status(thm)],[26766,75]) ).

cnf(27068,negated_conjecture,
    ( hskp4
    | ~ hskp15
    | ~ hskp6 ),
    inference(csr,[status(thm)],[27067,73]) ).

cnf(27070,negated_conjecture,
    ( hskp4
    | ~ hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[27068,10780,theory(equality)]) ).

cnf(27169,negated_conjecture,
    ( hskp4
    | c1_1(a1032)
    | ~ hskp17
    | ~ hskp6 ),
    inference(csr,[status(thm)],[26767,67]) ).

cnf(27178,negated_conjecture,
    ( hskp14
    | hskp4
    | ~ hskp17
    | ~ hskp6 ),
    inference(spm,[status(thm)],[11578,27169,theory(equality)]) ).

cnf(27181,negated_conjecture,
    ( hskp8
    | hskp4
    | ~ hskp17
    | ~ hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[12305,27169,theory(equality)]) ).

cnf(27191,negated_conjecture,
    ( hskp14
    | hskp4
    | hskp25
    | hskp3
    | ~ hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[27178,9425,theory(equality)]) ).

cnf(27311,negated_conjecture,
    ( hskp4
    | ~ hskp17
    | ~ hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[27181,27070]) ).

cnf(27411,negated_conjecture,
    ( hskp4
    | ~ hskp19
    | ~ hskp6
    | ~ c2_1(a1037) ),
    inference(csr,[status(thm)],[26768,58]) ).

cnf(28219,negated_conjecture,
    ( hskp19
    | hskp10
    | hskp9
    | hskp8
    | ~ hskp26 ),
    inference(csr,[status(thm)],[26068,12675]) ).

cnf(28220,negated_conjecture,
    ( hskp19
    | hskp10
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[28219,19322]) ).

cnf(28341,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp3
    | ~ hskp25
    | ~ hskp0 ),
    inference(csr,[status(thm)],[26303,12932]) ).

cnf(28386,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp2
    | ~ hskp25
    | ~ hskp13 ),
    inference(csr,[status(thm)],[26342,13525]) ).

cnf(28414,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp2
    | ~ hskp25
    | ~ hskp20 ),
    inference(csr,[status(thm)],[26343,13527]) ).

cnf(28422,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp10
    | ~ hskp25
    | ~ hskp20 ),
    inference(spm,[status(thm)],[17862,28414,theory(equality)]) ).

cnf(28487,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp2
    | hskp1
    | ~ hskp25 ),
    inference(csr,[status(thm)],[26357,12932]) ).

cnf(28575,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp2
    | ~ hskp27
    | ~ hskp25 ),
    inference(csr,[status(thm)],[26376,23070]) ).

cnf(28582,negated_conjecture,
    ( hskp6
    | hskp15
    | hskp9
    | ~ hskp1
    | ~ hskp27
    | ~ hskp25 ),
    inference(spm,[status(thm)],[13716,28575,theory(equality)]) ).

cnf(28778,negated_conjecture,
    ( c2_1(X1)
    | c0_1(a1019)
    | c0_1(X1)
    | hskp0
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2276,86]) ).

cnf(28779,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp0
    | ~ hskp12
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[28778,85]) ).

cnf(28780,negated_conjecture,
    ( c2_1(a1003)
    | hskp0
    | ~ hskp3
    | ~ hskp12
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[122,28779,theory(equality)]) ).

cnf(28788,negated_conjecture,
    ( c2_1(a1045)
    | hskp0
    | ~ hskp24
    | ~ hskp12
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[37,28779,theory(equality)]) ).

cnf(28789,negated_conjecture,
    ( c2_1(a1048)
    | hskp0
    | ~ hskp25
    | ~ hskp12
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[34,28779,theory(equality)]) ).

cnf(28790,negated_conjecture,
    ( c2_1(a1052)
    | hskp0
    | ~ hskp26
    | ~ hskp12
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[30,28779,theory(equality)]) ).

cnf(28899,negated_conjecture,
    ( c2_1(a1003)
    | hskp0
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28780,123]) ).

cnf(28900,negated_conjecture,
    ( hskp0
    | ~ hskp12
    | ~ hskp3 ),
    inference(csr,[status(thm)],[28899,121]) ).

cnf(29116,negated_conjecture,
    ( c2_1(a1045)
    | hskp0
    | ~ hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[28788,39]) ).

cnf(29117,negated_conjecture,
    ( hskp0
    | ~ hskp24
    | ~ hskp12 ),
    inference(csr,[status(thm)],[29116,4509]) ).

cnf(29124,negated_conjecture,
    ( hskp19
    | hskp4
    | ~ hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[17613,29117,theory(equality)]) ).

cnf(29163,negated_conjecture,
    ( hskp19
    | hskp4
    | hskp23
    | hskp3
    | ~ hskp12 ),
    inference(spm,[status(thm)],[29124,8171,theory(equality)]) ).

cnf(29342,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[29163,3467]) ).

cnf(29343,negated_conjecture,
    ( hskp19
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[29342,1657]) ).

cnf(29359,negated_conjecture,
    ( hskp5
    | hskp4
    | ~ hskp25
    | ~ hskp24
    | ~ hskp6 ),
    inference(csr,[status(thm)],[27058,27070]) ).

cnf(29384,negated_conjecture,
    ( c2_1(a1048)
    | hskp0
    | ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[28789,35]) ).

cnf(29385,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp0
    | ~ hskp25
    | ~ hskp12 ),
    inference(spm,[status(thm)],[1559,29384,theory(equality)]) ).

cnf(29421,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp3
    | ~ hskp25
    | ~ hskp12 ),
    inference(spm,[status(thm)],[28341,29385,theory(equality)]) ).

cnf(29505,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[29421,3467]) ).

cnf(29507,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[29505,2473,theory(equality)]) ).

cnf(29526,negated_conjecture,
    ( hskp23
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[29507,15360]) ).

cnf(29597,negated_conjecture,
    ( hskp0
    | ~ hskp26
    | ~ hskp12
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[28790,29]) ).

cnf(29598,negated_conjecture,
    ( hskp0
    | hskp1
    | ~ hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[29597,2987,theory(equality)]) ).

cnf(29604,negated_conjecture,
    ( hskp0
    | hskp2
    | ~ hskp26
    | ~ hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[29597,6740,theory(equality)]) ).

cnf(29609,negated_conjecture,
    ( hskp0
    | hskp24
    | hskp3
    | ~ hskp26
    | ~ hskp12
    | ~ hskp2 ),
    inference(spm,[status(thm)],[29597,9201,theory(equality)]) ).

cnf(29610,negated_conjecture,
    ( hskp8
    | hskp0
    | ~ hskp12
    | ~ hskp26 ),
    inference(spm,[status(thm)],[12277,29598,theory(equality)]) ).

cnf(29985,negated_conjecture,
    ( hskp25
    | hskp14
    | hskp4
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[27191,29526]) ).

cnf(29986,negated_conjecture,
    ( hskp25
    | hskp4
    | hskp3
    | ~ hskp6 ),
    inference(csr,[status(thm)],[29985,2473]) ).

cnf(30004,negated_conjecture,
    ( hskp5
    | hskp4
    | hskp3
    | ~ hskp24
    | ~ hskp6 ),
    inference(spm,[status(thm)],[29359,29986,theory(equality)]) ).

cnf(30057,negated_conjecture,
    ( hskp27
    | c1_1(a1002)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[2291,126]) ).

cnf(30058,negated_conjecture,
    ( hskp27
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30057,125]) ).

cnf(30061,negated_conjecture,
    ( hskp27
    | c1_1(a1005)
    | c2_1(a1005)
    | ~ hskp5
    | ~ hskp2 ),
    inference(spm,[status(thm)],[113,30058,theory(equality)]) ).

cnf(30064,negated_conjecture,
    ( hskp27
    | c1_1(a1025)
    | c2_1(a1025)
    | ~ hskp14
    | ~ hskp2 ),
    inference(spm,[status(thm)],[77,30058,theory(equality)]) ).

cnf(30066,negated_conjecture,
    ( hskp27
    | c1_1(a1037)
    | c2_1(a1037)
    | ~ hskp19
    | ~ hskp2 ),
    inference(spm,[status(thm)],[57,30058,theory(equality)]) ).

cnf(30245,negated_conjecture,
    ( hskp27
    | c1_1(a1005)
    | ~ hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30061,114]) ).

cnf(30246,negated_conjecture,
    ( hskp27
    | ~ hskp5
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30245,115]) ).

cnf(30248,negated_conjecture,
    ( hskp27
    | hskp1
    | ~ hskp5
    | ~ hskp21 ),
    inference(spm,[status(thm)],[30246,2813,theory(equality)]) ).

cnf(30252,negated_conjecture,
    ( hskp27
    | hskp25
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[30246,3651,theory(equality)]) ).

cnf(30253,negated_conjecture,
    ( hskp27
    | hskp1
    | ~ hskp5
    | ~ hskp19 ),
    inference(spm,[status(thm)],[30246,3691,theory(equality)]) ).

cnf(30254,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp10
    | ~ hskp5
    | ~ hskp20 ),
    inference(spm,[status(thm)],[30246,3914,theory(equality)]) ).

cnf(30272,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | ~ hskp5
    | ~ hskp25
    | ~ hskp13 ),
    inference(spm,[status(thm)],[30246,28386,theory(equality)]) ).

cnf(30447,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp27
    | ~ hskp0
    | ~ hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[13604,30253,theory(equality)]) ).

cnf(30848,negated_conjecture,
    ( hskp27
    | c1_1(a1025)
    | ~ hskp14
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30064,78]) ).

cnf(30858,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp27
    | ~ hskp14
    | ~ hskp2 ),
    inference(spm,[status(thm)],[2575,30848,theory(equality)]) ).

cnf(30862,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp27
    | ~ hskp14
    | ~ hskp2 ),
    inference(spm,[status(thm)],[13086,30848,theory(equality)]) ).

cnf(30909,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30858,12]) ).

cnf(30916,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6
    | hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[30909,3691,theory(equality)]) ).

cnf(30943,negated_conjecture,
    ( hskp27
    | hskp23
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30862,15360]) ).

cnf(30944,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp2 ),
    inference(csr,[status(thm)],[30943,15357]) ).

cnf(30973,negated_conjecture,
    ( hskp23
    | hskp3
    | hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[30944,28487,theory(equality)]) ).

cnf(31072,negated_conjecture,
    ( hskp8
    | hskp23
    | hskp3
    | ~ hskp12
    | ~ hskp25 ),
    inference(spm,[status(thm)],[12277,30973,theory(equality)]) ).

cnf(31509,negated_conjecture,
    ( hskp23
    | hskp8
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[31072,3467]) ).

cnf(31510,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp25 ),
    inference(csr,[status(thm)],[31509,1211]) ).

cnf(31512,negated_conjecture,
    ( hskp23
    | hskp3
    | ~ hskp14 ),
    inference(spm,[status(thm)],[31510,2473,theory(equality)]) ).

cnf(31531,negated_conjecture,
    ( hskp23
    | hskp3 ),
    inference(csr,[status(thm)],[31512,15360]) ).

cnf(31597,negated_conjecture,
    ( hskp27
    | c1_1(a1037)
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[30066,3688]) ).

cnf(31598,negated_conjecture,
    ( hskp27
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[31597,58]) ).

cnf(31609,negated_conjecture,
    ( hskp4
    | hskp27
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[27411,31598,theory(equality)]) ).

cnf(32144,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1012)
    | ~ hskp10
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2338,93]) ).

cnf(32149,negated_conjecture,
    ( hskp20
    | c1_1(a1012)
    | c2_1(a1012)
    | ~ hskp10
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,32144,theory(equality)]) ).

cnf(32244,negated_conjecture,
    ( hskp20
    | c1_1(a1012)
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[32149,95]) ).

cnf(32245,negated_conjecture,
    ( hskp20
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[32244,94]) ).

cnf(32258,negated_conjecture,
    ( hskp6
    | hskp20
    | ~ hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13873,32245,theory(equality)]) ).

cnf(32262,negated_conjecture,
    ( hskp19
    | hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[18417,32245,theory(equality)]) ).

cnf(32267,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp12
    | hskp9
    | ~ hskp10 ),
    inference(spm,[status(thm)],[19736,32262,theory(equality)]) ).

cnf(32318,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(a1025)
    | c3_1(X1)
    | ~ hskp14
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2339,78]) ).

cnf(32319,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp14
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[32318,77]) ).

cnf(32322,negated_conjecture,
    ( hskp20
    | c1_1(a1005)
    | ~ hskp5
    | ~ hskp14
    | ~ c0_1(a1005) ),
    inference(spm,[status(thm)],[113,32319,theory(equality)]) ).

cnf(32456,negated_conjecture,
    ( hskp23
    | hskp19
    | hskp12
    | hskp9 ),
    inference(csr,[status(thm)],[32267,24810]) ).

cnf(32506,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1044)
    | ~ hskp23
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2341,41]) ).

cnf(33218,negated_conjecture,
    ( hskp20
    | ~ hskp14
    | ~ hskp5
    | ~ c0_1(a1005) ),
    inference(csr,[status(thm)],[32322,115]) ).

cnf(33221,negated_conjecture,
    ( hskp20
    | hskp2
    | ~ hskp14
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33218,3637,theory(equality)]) ).

cnf(33261,negated_conjecture,
    ( hskp27
    | hskp20
    | ~ hskp5
    | ~ hskp14 ),
    inference(spm,[status(thm)],[30246,33221,theory(equality)]) ).

cnf(33268,negated_conjecture,
    ( hskp27
    | hskp18
    | hskp10
    | ~ hskp5
    | ~ hskp14 ),
    inference(spm,[status(thm)],[30254,33261,theory(equality)]) ).

cnf(33385,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6
    | hskp27
    | ~ hskp14
    | ~ hskp5 ),
    inference(spm,[status(thm)],[4084,33268,theory(equality)]) ).

cnf(33843,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp25
    | ~ hskp10 ),
    inference(csr,[status(thm)],[28422,32262]) ).

cnf(33844,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | ~ hskp25 ),
    inference(csr,[status(thm)],[33843,28220]) ).

cnf(33845,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp24 ),
    inference(spm,[status(thm)],[33844,8,theory(equality)]) ).

cnf(33855,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp3
    | ~ hskp10 ),
    inference(spm,[status(thm)],[33844,18418,theory(equality)]) ).

cnf(33859,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp27
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[33844,30252,theory(equality)]) ).

cnf(33933,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp24
    | hskp19
    | hskp8 ),
    inference(spm,[status(thm)],[2529,33845,theory(equality)]) ).

cnf(33960,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[33855,28220]) ).

cnf(34021,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(a1044)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[2358,42]) ).

cnf(34022,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp23 ),
    inference(csr,[status(thm)],[34021,41]) ).

cnf(34025,negated_conjecture,
    ( hskp17
    | c1_1(a1005)
    | c2_1(a1005)
    | ~ hskp5
    | ~ hskp23 ),
    inference(spm,[status(thm)],[113,34022,theory(equality)]) ).

cnf(34027,negated_conjecture,
    ( hskp17
    | c1_1(a1012)
    | c2_1(a1012)
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[93,34022,theory(equality)]) ).

cnf(34030,negated_conjecture,
    ( hskp17
    | c1_1(a1037)
    | c2_1(a1037)
    | ~ hskp19
    | ~ hskp23 ),
    inference(spm,[status(thm)],[57,34022,theory(equality)]) ).

cnf(34246,negated_conjecture,
    ( hskp17
    | c1_1(a1005)
    | ~ hskp23
    | ~ hskp5 ),
    inference(csr,[status(thm)],[34025,114]) ).

cnf(34247,negated_conjecture,
    ( hskp17
    | ~ hskp23
    | ~ hskp5 ),
    inference(csr,[status(thm)],[34246,115]) ).

cnf(34454,negated_conjecture,
    ( hskp17
    | c2_1(a1012)
    | ~ hskp23
    | ~ hskp10 ),
    inference(csr,[status(thm)],[34027,94]) ).

cnf(34459,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[9739,34454,theory(equality)]) ).

cnf(34471,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp10
    | ~ hskp23 ),
    inference(spm,[status(thm)],[18417,34454,theory(equality)]) ).

cnf(34485,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp19
    | ~ hskp23
    | ~ hskp10 ),
    inference(spm,[status(thm)],[25860,34471,theory(equality)]) ).

cnf(34772,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp9
    | ~ hskp10 ),
    inference(csr,[status(thm)],[34485,32456]) ).

cnf(34783,negated_conjecture,
    ( hskp19
    | hskp12
    | hskp9
    | ~ hskp24 ),
    inference(spm,[status(thm)],[34772,4510,theory(equality)]) ).

cnf(34856,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1006)
    | c2_1(X1)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[2379,111]) ).

cnf(34857,negated_conjecture,
    ( hskp12
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp6 ),
    inference(csr,[status(thm)],[34856,109]) ).

cnf(34860,negated_conjecture,
    ( hskp12
    | c1_1(a1005)
    | c2_1(a1005)
    | ~ hskp5
    | ~ hskp6 ),
    inference(spm,[status(thm)],[113,34857,theory(equality)]) ).

cnf(35368,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp6
    | ~ hskp27
    | ~ hskp1 ),
    inference(csr,[status(thm)],[28582,23070]) ).

cnf(35369,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp27
    | ~ hskp1 ),
    inference(csr,[status(thm)],[35368,10146]) ).

cnf(35593,negated_conjecture,
    ( hskp17
    | c2_1(a1037)
    | ~ hskp23
    | ~ hskp19 ),
    inference(csr,[status(thm)],[34030,58]) ).

cnf(35602,negated_conjecture,
    ( hskp11
    | hskp17
    | ~ hskp19
    | ~ hskp8
    | ~ hskp23 ),
    inference(spm,[status(thm)],[21599,35593,theory(equality)]) ).

cnf(35604,negated_conjecture,
    ( hskp4
    | hskp17
    | ~ hskp19
    | ~ hskp6
    | ~ hskp23 ),
    inference(spm,[status(thm)],[27411,35593,theory(equality)]) ).

cnf(35622,negated_conjecture,
    ( hskp17
    | hskp11
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[35602,1211]) ).

cnf(35644,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp23
    | ~ hskp6 ),
    inference(csr,[status(thm)],[35604,1657]) ).

cnf(35657,negated_conjecture,
    ( hskp4
    | ~ hskp6
    | ~ hskp1
    | ~ hskp23 ),
    inference(spm,[status(thm)],[27311,35644,theory(equality)]) ).

cnf(36099,negated_conjecture,
    ( hskp12
    | c1_1(a1005)
    | ~ hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[34860,114]) ).

cnf(36100,negated_conjecture,
    ( hskp12
    | ~ hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[36099,115]) ).

cnf(36114,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3
    | ~ hskp6
    | ~ hskp24 ),
    inference(spm,[status(thm)],[36100,30004,theory(equality)]) ).

cnf(36198,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[36114,10187]) ).

cnf(36199,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[36198,1481,theory(equality)]) ).

cnf(36209,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3
    | ~ hskp19
    | ~ hskp6 ),
    inference(spm,[status(thm)],[36199,31609,theory(equality)]) ).

cnf(36249,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1003)
    | ~ hskp3
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2395,122]) ).

cnf(36250,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp3
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[36249,121]) ).

cnf(36254,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp3
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,36250,theory(equality)]) ).

cnf(36379,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3
    | ~ hskp19 ),
    inference(csr,[status(thm)],[36209,10187]) ).

cnf(36380,negated_conjecture,
    ( hskp12
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[36379,29343]) ).

cnf(36837,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1045)
    | ~ hskp24
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2402,37]) ).

cnf(36838,negated_conjecture,
    ( hskp8
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[36837,4509]) ).

cnf(36842,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp24
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,36838,theory(equality)]) ).

cnf(37531,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp3 ),
    inference(csr,[status(thm)],[36254,107]) ).

cnf(37532,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37531,3329]) ).

cnf(37533,negated_conjecture,
    ( hskp8
    | ~ hskp7
    | ~ hskp3 ),
    inference(spm,[status(thm)],[106,37532,theory(equality)]) ).

cnf(37553,negated_conjecture,
    ( hskp8
    | ~ hskp3 ),
    inference(csr,[status(thm)],[37533,3329]) ).

cnf(37554,negated_conjecture,
    ( hskp23
    | ~ hskp3 ),
    inference(spm,[status(thm)],[1211,37553,theory(equality)]) ).

cnf(37564,negated_conjecture,
    hskp23,
    inference(csr,[status(thm)],[37554,31531]) ).

cnf(37581,negated_conjecture,
    ( hskp4
    | $false
    | ~ hskp6
    | ~ hskp1 ),
    inference(rw,[status(thm)],[35657,37564,theory(equality)]) ).

cnf(37582,negated_conjecture,
    ( hskp4
    | ~ hskp6
    | ~ hskp1 ),
    inference(cn,[status(thm)],[37581,theory(equality)]) ).

cnf(37585,negated_conjecture,
    ( hskp17
    | hskp4
    | $false
    | ~ hskp6 ),
    inference(rw,[status(thm)],[35644,37564,theory(equality)]) ).

cnf(37586,negated_conjecture,
    ( hskp17
    | hskp4
    | ~ hskp6 ),
    inference(cn,[status(thm)],[37585,theory(equality)]) ).

cnf(37587,negated_conjecture,
    ( hskp17
    | c2_1(a1037)
    | $false
    | ~ hskp19 ),
    inference(rw,[status(thm)],[35593,37564,theory(equality)]) ).

cnf(37588,negated_conjecture,
    ( hskp17
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(cn,[status(thm)],[37587,theory(equality)]) ).

cnf(37601,negated_conjecture,
    ( hskp19
    | hskp17
    | $false
    | ~ hskp10 ),
    inference(rw,[status(thm)],[34471,37564,theory(equality)]) ).

cnf(37602,negated_conjecture,
    ( hskp19
    | hskp17
    | ~ hskp10 ),
    inference(cn,[status(thm)],[37601,theory(equality)]) ).

cnf(37603,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | $false
    | ~ hskp10 ),
    inference(rw,[status(thm)],[34459,37564,theory(equality)]) ).

cnf(37604,negated_conjecture,
    ( hskp17
    | ~ hskp28
    | ~ hskp10 ),
    inference(cn,[status(thm)],[37603,theory(equality)]) ).

cnf(37605,negated_conjecture,
    ( hskp17
    | c2_1(a1012)
    | $false
    | ~ hskp10 ),
    inference(rw,[status(thm)],[34454,37564,theory(equality)]) ).

cnf(37606,negated_conjecture,
    ( hskp17
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(cn,[status(thm)],[37605,theory(equality)]) ).

cnf(37609,negated_conjecture,
    ( hskp17
    | $false
    | ~ hskp5 ),
    inference(rw,[status(thm)],[34247,37564,theory(equality)]) ).

cnf(37610,negated_conjecture,
    ( hskp17
    | ~ hskp5 ),
    inference(cn,[status(thm)],[37609,theory(equality)]) ).

cnf(37616,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | $false ),
    inference(rw,[status(thm)],[34022,37564,theory(equality)]) ).

cnf(37617,negated_conjecture,
    ( hskp17
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1) ),
    inference(cn,[status(thm)],[37616,theory(equality)]) ).

cnf(37632,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1044)
    | $false
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[32506,37564,theory(equality)]) ).

cnf(37633,negated_conjecture,
    ( hskp20
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1044)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[37632,theory(equality)]) ).

cnf(37648,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | $false
    | ~ hskp17 ),
    inference(rw,[status(thm)],[25858,37564,theory(equality)]) ).

cnf(37649,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp17 ),
    inference(cn,[status(thm)],[37648,theory(equality)]) ).

cnf(37684,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c2_1(a1044)
    | $false
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(rw,[status(thm)],[19248,37564,theory(equality)]) ).

cnf(37685,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | c2_1(a1044)
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[37684,theory(equality)]) ).

cnf(37718,negated_conjecture,
    ( hskp6
    | c2_1(a1044)
    | ~ hskp27
    | $false ),
    inference(rw,[status(thm)],[10289,37564,theory(equality)]) ).

cnf(37719,negated_conjecture,
    ( hskp6
    | c2_1(a1044)
    | ~ hskp27 ),
    inference(cn,[status(thm)],[37718,theory(equality)]) ).

cnf(37723,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp3
    | $false ),
    inference(rw,[status(thm)],[9425,37564,theory(equality)]) ).

cnf(37724,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp3 ),
    inference(cn,[status(thm)],[37723,theory(equality)]) ).

cnf(37729,negated_conjecture,
    ( hskp17
    | $false
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[9422,37564,theory(equality)]) ).

cnf(37730,negated_conjecture,
    ( hskp17
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[37729,theory(equality)]) ).

cnf(37747,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1044)
    | $false ),
    inference(rw,[status(thm)],[2711,37564,theory(equality)]) ).

cnf(37748,negated_conjecture,
    ( hskp25
    | hskp3
    | c2_1(a1044) ),
    inference(cn,[status(thm)],[37747,theory(equality)]) ).

cnf(37756,negated_conjecture,
    ( hskp19
    | hskp4
    | $false ),
    inference(rw,[status(thm)],[1657,37564,theory(equality)]) ).

cnf(37757,negated_conjecture,
    ( hskp19
    | hskp4 ),
    inference(cn,[status(thm)],[37756,theory(equality)]) ).

cnf(37768,negated_conjecture,
    ( hskp7
    | $false
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[1203,37564,theory(equality)]) ).

cnf(37769,negated_conjecture,
    ( hskp7
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[37768,theory(equality)]) ).

cnf(37771,negated_conjecture,
    ( $false
    | ~ c3_1(a1044) ),
    inference(rw,[status(thm)],[41,37564,theory(equality)]) ).

cnf(37772,negated_conjecture,
    ~ c3_1(a1044),
    inference(cn,[status(thm)],[37771,theory(equality)]) ).

cnf(37773,negated_conjecture,
    ( c1_1(a1044)
    | $false ),
    inference(rw,[status(thm)],[42,37564,theory(equality)]) ).

cnf(37774,negated_conjecture,
    c1_1(a1044),
    inference(cn,[status(thm)],[37773,theory(equality)]) ).

cnf(37776,negated_conjecture,
    ( c0_1(a1044)
    | $false ),
    inference(rw,[status(thm)],[43,37564,theory(equality)]) ).

cnf(37777,negated_conjecture,
    c0_1(a1044),
    inference(cn,[status(thm)],[37776,theory(equality)]) ).

cnf(37797,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp13
    | ~ c1_1(a1044)
    | ~ c0_1(a1023) ),
    inference(spm,[status(thm)],[37772,17006,theory(equality)]) ).

cnf(37798,negated_conjecture,
    ( hskp22
    | c1_1(a1029)
    | c2_1(a1044)
    | ~ hskp27
    | ~ c1_1(a1044) ),
    inference(spm,[status(thm)],[37772,17226,theory(equality)]) ).

cnf(37803,negated_conjecture,
    ( hskp15
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1044)
    | ~ c0_1(a1044) ),
    inference(spm,[status(thm)],[37772,19403,theory(equality)]) ).

cnf(37818,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | c0_1(a1001)
    | ~ c1_1(a1044)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[37772,25109,theory(equality)]) ).

cnf(37819,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp11
    | ~ c1_1(a1044)
    | ~ c2_1(a1015) ),
    inference(spm,[status(thm)],[37772,25285,theory(equality)]) ).

cnf(37846,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(a1044)
    | c3_1(X1)
    | c2_1(a1044)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[1055,37774,theory(equality)]) ).

cnf(37866,negated_conjecture,
    ( hskp16
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1044)
    | c2_1(X1) ),
    inference(sr,[status(thm)],[37846,37772,theory(equality)]) ).

cnf(37875,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1044)
    | ~ c1_1(a1044) ),
    inference(spm,[status(thm)],[1073,37777,theory(equality)]) ).

cnf(37919,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | ~ hskp17
    | ~ c1_1(a1044)
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[16354,37777,theory(equality)]) ).

cnf(37945,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1044)
    | $false ),
    inference(rw,[status(thm)],[37875,37774,theory(equality)]) ).

cnf(37946,negated_conjecture,
    ( hskp13
    | hskp6
    | c2_1(a1044) ),
    inference(cn,[status(thm)],[37945,theory(equality)]) ).

cnf(38000,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | ~ hskp17
    | $false
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[37919,37774,theory(equality)]) ).

cnf(38001,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | ~ hskp17
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[38000,theory(equality)]) ).

cnf(38024,negated_conjecture,
    ( hskp9
    | hskp2
    | hskp1
    | ~ hskp25
    | ~ hskp5 ),
    inference(spm,[status(thm)],[26271,37610,theory(equality)]) ).

cnf(38182,negated_conjecture,
    ( hskp4
    | hskp27
    | ~ hskp6
    | ~ hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[37582,30253,theory(equality)]) ).

cnf(38208,negated_conjecture,
    ( hskp11
    | hskp9
    | hskp19
    | ~ hskp25
    | ~ hskp8
    | ~ hskp10 ),
    inference(spm,[status(thm)],[26279,37602,theory(equality)]) ).

cnf(38218,negated_conjecture,
    ( hskp17
    | hskp25
    | hskp8
    | hskp3
    | ~ hskp10
    | ~ hskp22 ),
    inference(spm,[status(thm)],[37604,9315,theory(equality)]) ).

cnf(38244,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp13
    | hskp6
    | ~ c1_1(a1044)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13276,37946,theory(equality)]) ).

cnf(38248,negated_conjecture,
    ( hskp17
    | hskp13
    | hskp6 ),
    inference(spm,[status(thm)],[37730,37946,theory(equality)]) ).

cnf(38256,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp13
    | hskp6
    | $false
    | ~ hskp1 ),
    inference(rw,[status(thm)],[38244,37774,theory(equality)]) ).

cnf(38257,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp13
    | hskp6
    | ~ hskp1 ),
    inference(cn,[status(thm)],[38256,theory(equality)]) ).

cnf(38434,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c1_1(a1044)
    | ~ hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[13276,37649,theory(equality)]) ).

cnf(38446,negated_conjecture,
    ( hskp9
    | hskp8
    | $false
    | ~ hskp1
    | ~ hskp17 ),
    inference(rw,[status(thm)],[38434,37774,theory(equality)]) ).

cnf(38447,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp1
    | ~ hskp17 ),
    inference(cn,[status(thm)],[38446,theory(equality)]) ).

cnf(38615,negated_conjecture,
    ( hskp28
    | hskp8
    | c1_1(X1)
    | c2_1(X1)
    | hskp17 ),
    inference(spm,[status(thm)],[1087,37617,theory(equality)]) ).

cnf(38685,negated_conjecture,
    ( hskp20
    | c1_1(a1000)
    | c2_1(a1044)
    | ~ hskp0
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,37633,theory(equality)]) ).

cnf(38689,negated_conjecture,
    ( hskp20
    | c1_1(a1012)
    | c2_1(a1044)
    | ~ hskp10
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,37633,theory(equality)]) ).

cnf(39008,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp0
    | ~ c2_1(a1000)
    | ~ c0_1(a1000) ),
    inference(spm,[status(thm)],[133,37685,theory(equality)]) ).

cnf(39009,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp4
    | ~ c2_1(a1004)
    | ~ c0_1(a1004) ),
    inference(spm,[status(thm)],[117,37685,theory(equality)]) ).

cnf(39012,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp10
    | ~ c2_1(a1012)
    | ~ c0_1(a1012) ),
    inference(spm,[status(thm)],[93,37685,theory(equality)]) ).

cnf(39206,negated_conjecture,
    ( hskp7
    | c1_1(a1000)
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[2430,133]) ).

cnf(39207,negated_conjecture,
    ( hskp7
    | c3_1(X1)
    | c0_1(X1)
    | ~ c1_1(X1)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[39206,1144]) ).

cnf(39210,negated_conjecture,
    ( hskp7
    | c0_1(a1004)
    | ~ hskp4
    | ~ c1_1(a1004)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[117,39207,theory(equality)]) ).

cnf(39218,negated_conjecture,
    ( hskp7
    | c0_1(a1048)
    | ~ hskp25
    | ~ c1_1(a1048)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[33,39207,theory(equality)]) ).

cnf(39305,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp4
    | ~ hskp1
    | ~ hskp6 ),
    inference(spm,[status(thm)],[38447,37586,theory(equality)]) ).

cnf(39534,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp1
    | ~ hskp5
    | ~ hskp25 ),
    inference(spm,[status(thm)],[30246,38024,theory(equality)]) ).

cnf(39720,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp19
    | ~ hskp6 ),
    inference(csr,[status(thm)],[38182,31609]) ).

cnf(39721,negated_conjecture,
    ( hskp27
    | hskp4
    | ~ hskp6 ),
    inference(csr,[status(thm)],[39720,37757]) ).

cnf(39776,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[38257,13525]) ).

cnf(40005,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[38001,37730]) ).

cnf(40013,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp22
    | ~ hskp8 ),
    inference(spm,[status(thm)],[40005,17167,theory(equality)]) ).

cnf(40017,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp9
    | ~ hskp17 ),
    inference(spm,[status(thm)],[40005,37649,theory(equality)]) ).

cnf(40019,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp25
    | hskp3 ),
    inference(spm,[status(thm)],[40005,37748,theory(equality)]) ).

cnf(40660,negated_conjecture,
    ( hskp7
    | c1_1(a1023)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp13
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[2453,81]) ).

cnf(40661,negated_conjecture,
    ( hskp7
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp13
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[40660,82]) ).

cnf(40662,negated_conjecture,
    ( hskp7
    | c2_1(a1003)
    | ~ hskp3
    | ~ hskp13
    | ~ c1_1(a1003) ),
    inference(spm,[status(thm)],[122,40661,theory(equality)]) ).

cnf(40670,negated_conjecture,
    ( hskp7
    | c2_1(a1045)
    | ~ hskp24
    | ~ hskp13
    | ~ c1_1(a1045) ),
    inference(spm,[status(thm)],[37,40661,theory(equality)]) ).

cnf(40671,negated_conjecture,
    ( hskp7
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp13
    | ~ c1_1(a1048) ),
    inference(spm,[status(thm)],[34,40661,theory(equality)]) ).

cnf(40672,negated_conjecture,
    ( hskp7
    | c2_1(a1052)
    | ~ hskp26
    | ~ hskp13
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[30,40661,theory(equality)]) ).

cnf(40901,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | c1_1(a1038)
    | ~ hskp20 ),
    inference(spm,[status(thm)],[53,38615,theory(equality)]) ).

cnf(40902,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | c1_1(a1043)
    | ~ hskp22 ),
    inference(spm,[status(thm)],[45,38615,theory(equality)]) ).

cnf(40969,negated_conjecture,
    ( hskp16
    | c1_1(a1005)
    | c2_1(a1044)
    | c2_1(a1005)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[113,37866,theory(equality)]) ).

cnf(40971,negated_conjecture,
    ( hskp16
    | c1_1(a1012)
    | c2_1(a1044)
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[93,37866,theory(equality)]) ).

cnf(41204,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp4
    | ~ hskp1 ),
    inference(csr,[status(thm)],[39305,39776]) ).

cnf(41205,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp1 ),
    inference(csr,[status(thm)],[41204,13337]) ).

cnf(41206,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[41205,2938,theory(equality)]) ).

cnf(41295,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp27
    | ~ hskp25
    | ~ hskp5 ),
    inference(spm,[status(thm)],[41205,39534,theory(equality)]) ).

cnf(41647,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[41295,30252,theory(equality)]) ).

cnf(41674,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | ~ hskp5 ),
    inference(csr,[status(thm)],[41647,37553]) ).

cnf(42191,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(a1032)
    | c0_1(X1)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[2487,67]) ).

cnf(42192,negated_conjecture,
    ( hskp6
    | c3_1(X1)
    | c2_1(X1)
    | c0_1(X1)
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42191,65]) ).

cnf(42196,negated_conjecture,
    ( hskp6
    | c2_1(a1005)
    | c0_1(a1005)
    | ~ hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[113,42192,theory(equality)]) ).

cnf(42200,negated_conjecture,
    ( hskp6
    | c2_1(a1030)
    | c0_1(a1030)
    | ~ hskp16
    | ~ hskp17 ),
    inference(spm,[status(thm)],[69,42192,theory(equality)]) ).

cnf(42201,negated_conjecture,
    ( hskp6
    | c2_1(a1037)
    | c0_1(a1037)
    | ~ hskp19
    | ~ hskp17 ),
    inference(spm,[status(thm)],[57,42192,theory(equality)]) ).

cnf(42203,negated_conjecture,
    ( hskp6
    | c2_1(a1048)
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[33,42192,theory(equality)]) ).

cnf(42448,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | ~ hskp20 ),
    inference(csr,[status(thm)],[40901,54]) ).

cnf(42451,negated_conjecture,
    ( hskp17
    | hskp8
    | ~ hskp0
    | ~ hskp20 ),
    inference(spm,[status(thm)],[9613,42448,theory(equality)]) ).

cnf(42674,negated_conjecture,
    ( hskp28
    | hskp17
    | hskp8
    | ~ hskp22 ),
    inference(csr,[status(thm)],[40902,46]) ).

cnf(42681,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp3
    | hskp8
    | ~ hskp22 ),
    inference(spm,[status(thm)],[11156,42674,theory(equality)]) ).

cnf(42808,negated_conjecture,
    ( hskp24
    | hskp17
    | hskp8
    | ~ hskp22 ),
    inference(csr,[status(thm)],[42681,37553]) ).

cnf(42842,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1003)
    | ~ hskp3
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2499,122]) ).

cnf(42843,negated_conjecture,
    ( hskp4
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp3
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[42842,121]) ).

cnf(42847,negated_conjecture,
    ( hskp4
    | c1_1(a1005)
    | ~ hskp5
    | ~ hskp3
    | ~ c0_1(a1005) ),
    inference(spm,[status(thm)],[113,42843,theory(equality)]) ).

cnf(42852,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ hskp19
    | ~ hskp3
    | ~ c0_1(a1037) ),
    inference(spm,[status(thm)],[57,42843,theory(equality)]) ).

cnf(43246,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp24
    | ~ hskp7 ),
    inference(csr,[status(thm)],[36842,107]) ).

cnf(43247,negated_conjecture,
    ( hskp8
    | c1_1(a1008)
    | ~ hskp24 ),
    inference(csr,[status(thm)],[43246,3329]) ).

cnf(43248,negated_conjecture,
    ( hskp8
    | ~ hskp7
    | ~ hskp24 ),
    inference(spm,[status(thm)],[106,43247,theory(equality)]) ).

cnf(43266,negated_conjecture,
    ( hskp8
    | ~ hskp24 ),
    inference(csr,[status(thm)],[43248,3329]) ).

cnf(43267,negated_conjecture,
    ( hskp8
    | hskp3
    | ~ hskp27 ),
    inference(spm,[status(thm)],[43266,1481,theory(equality)]) ).

cnf(43268,negated_conjecture,
    ( hskp8
    | hskp26
    | hskp3 ),
    inference(spm,[status(thm)],[43266,2112,theory(equality)]) ).

cnf(43273,negated_conjecture,
    ( hskp8
    | hskp19
    | hskp13
    | hskp6 ),
    inference(spm,[status(thm)],[43266,33933,theory(equality)]) ).

cnf(43274,negated_conjecture,
    ( hskp8
    | ~ hskp27 ),
    inference(csr,[status(thm)],[43267,37553]) ).

cnf(43277,negated_conjecture,
    ( hskp8
    | hskp4
    | ~ hskp6 ),
    inference(spm,[status(thm)],[43274,39721,theory(equality)]) ).

cnf(43348,negated_conjecture,
    ( hskp26
    | hskp8 ),
    inference(csr,[status(thm)],[43268,37553]) ).

cnf(43352,negated_conjecture,
    ( hskp4
    | ~ hskp6 ),
    inference(csr,[status(thm)],[43277,27070]) ).

cnf(43470,negated_conjecture,
    ( hskp7
    | c0_1(a1004)
    | ~ hskp4
    | ~ hskp0 ),
    inference(csr,[status(thm)],[39210,119]) ).

cnf(43471,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ hskp4
    | ~ hskp0 ),
    inference(spm,[status(thm)],[1099,43470,theory(equality)]) ).

cnf(43664,negated_conjecture,
    ( hskp24
    | hskp0
    | ~ hskp26
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[29609,28900]) ).

cnf(43665,negated_conjecture,
    ( hskp0
    | ~ hskp26
    | ~ hskp12
    | ~ hskp2 ),
    inference(csr,[status(thm)],[43664,29117]) ).

cnf(43690,negated_conjecture,
    ( hskp0
    | ~ hskp26
    | ~ hskp12
    | ~ hskp19 ),
    inference(spm,[status(thm)],[43665,29604,theory(equality)]) ).

cnf(43941,negated_conjecture,
    ( hskp7
    | c0_1(a1048)
    | ~ hskp25
    | ~ hskp0 ),
    inference(csr,[status(thm)],[39218,35]) ).

cnf(43942,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp0 ),
    inference(csr,[status(thm)],[43941,34]) ).

cnf(43963,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[43942,29117,theory(equality)]) ).

cnf(43972,negated_conjecture,
    ( hskp7
    | ~ hskp25
    | ~ hskp26
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[43942,43690,theory(equality)]) ).

cnf(44000,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[43963,11853,theory(equality)]) ).

cnf(44008,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp12
    | ~ hskp27 ),
    inference(spm,[status(thm)],[44000,1481,theory(equality)]) ).

cnf(44014,negated_conjecture,
    ( hskp7
    | hskp3
    | hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[44008,11,theory(equality)]) ).

cnf(44032,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp26
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[43972,11853,theory(equality)]) ).

cnf(44050,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp19
    | ~ hskp12 ),
    inference(csr,[status(thm)],[44032,44014]) ).

cnf(44054,negated_conjecture,
    ( hskp7
    | hskp3
    | hskp4
    | ~ hskp12 ),
    inference(spm,[status(thm)],[44050,37757,theory(equality)]) ).

cnf(44057,negated_conjecture,
    ( hskp7
    | hskp4
    | hskp3 ),
    inference(csr,[status(thm)],[44054,36380]) ).

cnf(44060,negated_conjecture,
    ( hskp7
    | c2_1(a1003)
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[40662,123]) ).

cnf(44061,negated_conjecture,
    ( hskp7
    | ~ hskp13
    | ~ hskp3 ),
    inference(csr,[status(thm)],[44060,121]) ).

cnf(44062,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[44061,26084,theory(equality)]) ).

cnf(44065,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp12 ),
    inference(spm,[status(thm)],[44062,10187,theory(equality)]) ).

cnf(44067,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp4 ),
    inference(spm,[status(thm)],[44062,44057,theory(equality)]) ).

cnf(44089,negated_conjecture,
    ( hskp7
    | hskp4 ),
    inference(csr,[status(thm)],[44067,43352]) ).

cnf(44156,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c3_1(a1030)
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2538,70]) ).

cnf(44157,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp16
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[44156,69]) ).

cnf(44161,negated_conjecture,
    ( hskp3
    | c1_1(a1026)
    | ~ hskp15
    | ~ hskp16
    | ~ c2_1(a1026) ),
    inference(spm,[status(thm)],[74,44157,theory(equality)]) ).

cnf(44273,negated_conjecture,
    ( hskp7
    | c2_1(a1045)
    | ~ hskp24
    | ~ hskp13 ),
    inference(csr,[status(thm)],[40670,39]) ).

cnf(44274,negated_conjecture,
    ( hskp7
    | ~ hskp24
    | ~ hskp13 ),
    inference(csr,[status(thm)],[44273,4509]) ).

cnf(44275,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp13
    | ~ hskp27 ),
    inference(spm,[status(thm)],[44274,1481,theory(equality)]) ).

cnf(44280,negated_conjecture,
    ( hskp7
    | ~ hskp27
    | ~ hskp13 ),
    inference(csr,[status(thm)],[44275,44061]) ).

cnf(44282,negated_conjecture,
    ( hskp7
    | hskp26
    | ~ hskp13 ),
    inference(spm,[status(thm)],[44280,11,theory(equality)]) ).

cnf(44337,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | ~ hskp25
    | ~ hskp5 ),
    inference(csr,[status(thm)],[30272,41674]) ).

cnf(44338,negated_conjecture,
    ( hskp27
    | hskp9
    | hskp8
    | ~ hskp5 ),
    inference(csr,[status(thm)],[44337,41674]) ).

cnf(44339,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp5 ),
    inference(csr,[status(thm)],[44338,43274]) ).

cnf(44370,negated_conjecture,
    ( hskp7
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp13 ),
    inference(csr,[status(thm)],[40671,35]) ).

cnf(44373,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp7
    | ~ hskp25
    | ~ hskp13 ),
    inference(spm,[status(thm)],[2833,44370,theory(equality)]) ).

cnf(44399,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp1
    | ~ hskp5
    | ~ hskp25
    | ~ hskp13 ),
    inference(spm,[status(thm)],[30246,44373,theory(equality)]) ).

cnf(44411,negated_conjecture,
    ( hskp3
    | c1_1(X1)
    | c2_1(a1048)
    | c0_1(X1)
    | ~ hskp25
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2542,33]) ).

cnf(44568,negated_conjecture,
    ( hskp7
    | c2_1(a1052)
    | ~ hskp13
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[40672,44282]) ).

cnf(44569,negated_conjecture,
    ( hskp7
    | ~ hskp26
    | ~ hskp13
    | ~ c1_1(a1052) ),
    inference(spm,[status(thm)],[29,44568,theory(equality)]) ).

cnf(44578,negated_conjecture,
    ( hskp7
    | ~ hskp13
    | ~ c1_1(a1052) ),
    inference(csr,[status(thm)],[44569,44282]) ).

cnf(45098,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp6
    | ~ hskp5
    | ~ hskp0 ),
    inference(csr,[status(thm)],[30447,17609]) ).

cnf(45099,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp5
    | ~ hskp0 ),
    inference(csr,[status(thm)],[45098,10297]) ).

cnf(45106,negated_conjecture,
    ( hskp7
    | hskp6
    | hskp25
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[45099,13752,theory(equality)]) ).

cnf(45134,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[45106,11853]) ).

cnf(45135,negated_conjecture,
    ( hskp25
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[45134,44062]) ).

cnf(45153,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp26
    | ~ hskp19
    | ~ hskp12 ),
    inference(spm,[status(thm)],[43972,45135,theory(equality)]) ).

cnf(45181,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[45153,44065]) ).

cnf(45182,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ hskp19 ),
    inference(csr,[status(thm)],[45181,10299]) ).

cnf(45281,negated_conjecture,
    ( hskp6
    | c2_1(a1005)
    | c0_1(a1005)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[42196,37610]) ).

cnf(45282,negated_conjecture,
    ( hskp6
    | c0_1(a1005)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[45281,114]) ).

cnf(45290,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp6
    | ~ hskp5 ),
    inference(spm,[status(thm)],[1710,45282,theory(equality)]) ).

cnf(45294,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp6
    | ~ hskp5 ),
    inference(spm,[status(thm)],[2420,45282,theory(equality)]) ).

cnf(45334,negated_conjecture,
    ( hskp19
    | hskp6
    | ~ hskp5
    | ~ hskp2 ),
    inference(spm,[status(thm)],[17814,45282,theory(equality)]) ).

cnf(45385,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp27
    | ~ hskp5 ),
    inference(spm,[status(thm)],[15298,45294,theory(equality)]) ).

cnf(45409,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp7
    | hskp1
    | ~ hskp5
    | ~ hskp4 ),
    inference(spm,[status(thm)],[45334,3142,theory(equality)]) ).

cnf(45824,negated_conjecture,
    ( hskp6
    | c0_1(a1030)
    | ~ hskp17
    | ~ hskp16 ),
    inference(csr,[status(thm)],[42200,70]) ).

cnf(45836,negated_conjecture,
    ( hskp25
    | hskp3
    | hskp6
    | ~ hskp16
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2683,45824,theory(equality)]) ).

cnf(45886,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp3
    | ~ hskp16 ),
    inference(csr,[status(thm)],[45836,37724]) ).

cnf(45887,negated_conjecture,
    ( hskp6
    | c2_1(a1037)
    | c0_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[42201,37588]) ).

cnf(45888,negated_conjecture,
    ( hskp6
    | c2_1(a1037)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[45887,59]) ).

cnf(45895,negated_conjecture,
    ( hskp11
    | hskp6
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[21599,45888,theory(equality)]) ).

cnf(45901,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp1
    | ~ hskp0
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[16291,45895,theory(equality)]) ).

cnf(45902,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp27
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[16459,45895,theory(equality)]) ).

cnf(45944,negated_conjecture,
    ( hskp6
    | hskp5
    | ~ hskp27
    | ~ hskp19 ),
    inference(csr,[status(thm)],[45902,43274]) ).

cnf(45962,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[45385,45944,theory(equality)]) ).

cnf(45964,negated_conjecture,
    ( hskp6
    | hskp3
    | ~ hskp27 ),
    inference(csr,[status(thm)],[45962,18437]) ).

cnf(45965,negated_conjecture,
    ( hskp6
    | hskp3
    | hskp14 ),
    inference(spm,[status(thm)],[45964,12,theory(equality)]) ).

cnf(46071,negated_conjecture,
    ( hskp6
    | c2_1(a1048)
    | ~ hskp25
    | ~ hskp17 ),
    inference(csr,[status(thm)],[42203,34]) ).

cnf(46074,negated_conjecture,
    ( hskp2
    | hskp1
    | hskp6
    | ~ hskp25
    | ~ hskp17 ),
    inference(spm,[status(thm)],[2833,46071,theory(equality)]) ).

cnf(46077,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp1
    | ~ hskp17 ),
    inference(spm,[status(thm)],[12460,46071,theory(equality)]) ).

cnf(46102,negated_conjecture,
    ( hskp6
    | hskp2
    | hskp1
    | ~ hskp25
    | ~ hskp5 ),
    inference(spm,[status(thm)],[46074,37610,theory(equality)]) ).

cnf(46104,negated_conjecture,
    ( hskp6
    | hskp2
    | hskp1
    | hskp13
    | ~ hskp25 ),
    inference(spm,[status(thm)],[46074,38248,theory(equality)]) ).

cnf(46144,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp1
    | ~ hskp5 ),
    inference(spm,[status(thm)],[46077,37610,theory(equality)]) ).

cnf(46164,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp24
    | ~ hskp25
    | ~ hskp1
    | ~ hskp22 ),
    inference(spm,[status(thm)],[46077,42808,theory(equality)]) ).

cnf(46168,negated_conjecture,
    ( hskp13
    | c1_1(a1012)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[2582,93]) ).

cnf(46169,negated_conjecture,
    ( hskp13
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[46168,94]) ).

cnf(46173,negated_conjecture,
    ( hskp13
    | c1_1(a1005)
    | c2_1(a1005)
    | ~ hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[113,46169,theory(equality)]) ).

cnf(46175,negated_conjecture,
    ( hskp13
    | c1_1(a1012)
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(spm,[status(thm)],[93,46169,theory(equality)]) ).

cnf(46295,negated_conjecture,
    ( hskp27
    | hskp6
    | hskp1
    | ~ hskp5
    | ~ hskp25 ),
    inference(spm,[status(thm)],[30246,46102,theory(equality)]) ).

cnf(46322,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6
    | hskp1
    | ~ hskp25 ),
    inference(spm,[status(thm)],[30909,46104,theory(equality)]) ).

cnf(46333,negated_conjecture,
    ( hskp13
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[46175,94]) ).

cnf(46339,negated_conjecture,
    ( hskp6
    | hskp13
    | ~ hskp10
    | ~ hskp1 ),
    inference(spm,[status(thm)],[13873,46333,theory(equality)]) ).

cnf(46342,negated_conjecture,
    ( hskp19
    | hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[18417,46333,theory(equality)]) ).

cnf(46365,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[46342,13475,theory(equality)]) ).

cnf(46418,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp27
    | ~ hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[46339,30916,theory(equality)]) ).

cnf(46427,negated_conjecture,
    ( hskp13
    | c1_1(a1025)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[2583,77]) ).

cnf(46434,negated_conjecture,
    ( hskp13
    | c1_1(a1025)
    | c2_1(a1025)
    | ~ hskp14 ),
    inference(spm,[status(thm)],[77,46427,theory(equality)]) ).

cnf(46549,negated_conjecture,
    ( hskp19
    | hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[46365,43273]) ).

cnf(46581,negated_conjecture,
    ( hskp13
    | c1_1(a1025)
    | ~ hskp14 ),
    inference(csr,[status(thm)],[46434,78]) ).

cnf(46589,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp14 ),
    inference(spm,[status(thm)],[2575,46581,theory(equality)]) ).

cnf(46605,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[46589,45965,theory(equality)]) ).

cnf(47142,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp25
    | ~ hskp5 ),
    inference(csr,[status(thm)],[46295,15298]) ).

cnf(47166,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp5 ),
    inference(spm,[status(thm)],[46144,47142,theory(equality)]) ).

cnf(47183,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp3
    | ~ hskp5 ),
    inference(spm,[status(thm)],[47166,45294,theory(equality)]) ).

cnf(47186,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[47183,37553]) ).

cnf(47194,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp22
    | hskp3
    | ~ hskp26 ),
    inference(spm,[status(thm)],[47186,22233,theory(equality)]) ).

cnf(47219,negated_conjecture,
    ( hskp13
    | hskp6
    | hskp1
    | ~ hskp25 ),
    inference(csr,[status(thm)],[46322,15298]) ).

cnf(47233,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp13
    | ~ hskp27
    | ~ hskp25 ),
    inference(spm,[status(thm)],[35369,47219,theory(equality)]) ).

cnf(47479,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6
    | ~ hskp10 ),
    inference(csr,[status(thm)],[46418,46549]) ).

cnf(47484,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6
    | ~ hskp3 ),
    inference(spm,[status(thm)],[47479,4076,theory(equality)]) ).

cnf(47512,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[47484,46605]) ).

cnf(47621,negated_conjecture,
    ( hskp2
    | c1_1(a1005)
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[2600,114]) ).

cnf(47622,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c0_1(X1)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[47621,115]) ).

cnf(47631,negated_conjecture,
    ( hskp2
    | c1_1(a1037)
    | c0_1(a1037)
    | ~ hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[57,47622,theory(equality)]) ).

cnf(47752,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[47194,43348]) ).

cnf(47753,negated_conjecture,
    ( hskp22
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[47752,37553]) ).

cnf(47764,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[47233,47512]) ).

cnf(47775,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp6
    | hskp12
    | hskp9
    | hskp3 ),
    inference(spm,[status(thm)],[47764,26178,theory(equality)]) ).

cnf(48172,negated_conjecture,
    ( hskp4
    | ~ hskp5
    | ~ hskp3
    | ~ c0_1(a1005) ),
    inference(csr,[status(thm)],[42847,115]) ).

cnf(48200,negated_conjecture,
    ( hskp4
    | hskp6
    | ~ hskp5
    | ~ hskp3 ),
    inference(spm,[status(thm)],[48172,45282,theory(equality)]) ).

cnf(48225,negated_conjecture,
    ( hskp4
    | ~ hskp5
    | ~ hskp3 ),
    inference(csr,[status(thm)],[48200,43352]) ).

cnf(48251,negated_conjecture,
    ( hskp4
    | hskp6
    | ~ hskp3
    | ~ hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[48225,45944,theory(equality)]) ).

cnf(48300,negated_conjecture,
    ( hskp6
    | hskp4
    | ~ hskp27
    | ~ hskp3 ),
    inference(csr,[status(thm)],[48251,37757]) ).

cnf(48301,negated_conjecture,
    ( hskp6
    | hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[48300,45964]) ).

cnf(48302,negated_conjecture,
    ( hskp4
    | ~ hskp27 ),
    inference(csr,[status(thm)],[48301,43352]) ).

cnf(48355,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[47775,26119]) ).

cnf(48356,negated_conjecture,
    ( hskp15
    | hskp13
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[48355,26119]) ).

cnf(48357,negated_conjecture,
    ( hskp15
    | hskp12
    | hskp6 ),
    inference(csr,[status(thm)],[48356,16560]) ).

cnf(48456,negated_conjecture,
    ( hskp2
    | c1_1(a1037)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[2611,59]) ).

cnf(48457,negated_conjecture,
    ( hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp19 ),
    inference(csr,[status(thm)],[48456,58]) ).

cnf(48463,negated_conjecture,
    ( hskp2
    | c1_1(a1012)
    | c2_1(a1012)
    | ~ hskp10
    | ~ hskp19 ),
    inference(spm,[status(thm)],[93,48457,theory(equality)]) ).

cnf(48715,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ hskp19
    | ~ c0_1(a1037) ),
    inference(csr,[status(thm)],[42852,59]) ).

cnf(48716,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ c0_1(a1037) ),
    inference(csr,[status(thm)],[48715,37757]) ).

cnf(48731,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | c2_1(a1010)
    | ~ hskp8
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[48716,26924,theory(equality)]) ).

cnf(50025,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[43471,44089]) ).

cnf(50026,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1004)
    | ~ hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[50025,118,theory(equality)]) ).

cnf(50036,negated_conjecture,
    ( hskp7
    | ~ c1_1(a1004)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[50026,44089]) ).

cnf(50037,negated_conjecture,
    ( hskp7
    | ~ hskp0
    | ~ hskp4 ),
    inference(spm,[status(thm)],[50036,119,theory(equality)]) ).

cnf(50038,negated_conjecture,
    ( hskp7
    | ~ hskp0 ),
    inference(csr,[status(thm)],[50037,44089]) ).

cnf(50877,negated_conjecture,
    ( hskp3
    | c1_1(a1026)
    | ~ hskp16
    | ~ hskp15 ),
    inference(csr,[status(thm)],[44161,75]) ).

cnf(50878,negated_conjecture,
    ( hskp3
    | ~ hskp16
    | ~ hskp15 ),
    inference(csr,[status(thm)],[50877,73]) ).

cnf(50879,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp10
    | hskp6
    | ~ hskp14 ),
    inference(csr,[status(thm)],[33385,47512]) ).

cnf(50880,negated_conjecture,
    ( hskp27
    | hskp13
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[50879,47512]) ).

cnf(50881,negated_conjecture,
    ( hskp13
    | hskp10
    | hskp6 ),
    inference(csr,[status(thm)],[50880,11564]) ).

cnf(51221,negated_conjecture,
    ( hskp27
    | hskp19
    | hskp9
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[33859,33960]) ).

cnf(51222,negated_conjecture,
    ( hskp27
    | hskp19
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[51221,37553]) ).

cnf(51223,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[51222,43274]) ).

cnf(51468,negated_conjecture,
    ( hskp13
    | c1_1(a1005)
    | ~ hskp10
    | ~ hskp5 ),
    inference(csr,[status(thm)],[46173,114]) ).

cnf(51469,negated_conjecture,
    ( hskp13
    | ~ hskp10
    | ~ hskp5 ),
    inference(csr,[status(thm)],[51468,115]) ).

cnf(51495,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp10
    | ~ hskp27
    | ~ hskp19 ),
    inference(spm,[status(thm)],[51469,45944,theory(equality)]) ).

cnf(51615,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp27
    | ~ hskp10 ),
    inference(csr,[status(thm)],[51495,46549]) ).

cnf(51616,negated_conjecture,
    ( hskp13
    | hskp6
    | ~ hskp10 ),
    inference(csr,[status(thm)],[51615,47512]) ).

cnf(51617,negated_conjecture,
    ( hskp13
    | hskp6 ),
    inference(csr,[status(thm)],[51616,50881]) ).

cnf(51621,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | c3_1(X1)
    | ~ hskp4
    | ~ c1_1(a1004)
    | ~ c2_1(a1004)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[2747,1095]) ).

cnf(51622,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | c3_1(X1)
    | ~ hskp4
    | ~ c1_1(a1004)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[51621,118]) ).

cnf(51623,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | c3_1(X1)
    | ~ hskp4
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[51622,119]) ).

cnf(51626,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp4
    | ~ c2_1(a1004) ),
    inference(spm,[status(thm)],[117,51623,theory(equality)]) ).

cnf(51719,negated_conjecture,
    ( hskp17
    | hskp2
    | hskp1
    | ~ hskp4 ),
    inference(csr,[status(thm)],[51626,118]) ).

cnf(51723,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp2
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[25873,51719,theory(equality)]) ).

cnf(51738,negated_conjecture,
    ( hskp9
    | hskp7
    | hskp2
    | hskp1 ),
    inference(csr,[status(thm)],[51723,44089]) ).

cnf(51742,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp7
    | hskp1
    | ~ hskp26 ),
    inference(spm,[status(thm)],[9212,51738,theory(equality)]) ).

cnf(51881,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp1
    | ~ hskp26 ),
    inference(csr,[status(thm)],[51742,6683]) ).

cnf(51896,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp10
    | ~ hskp26 ),
    inference(spm,[status(thm)],[41205,51881,theory(equality)]) ).

cnf(51902,negated_conjecture,
    ( hskp10
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[51896,43348]) ).

cnf(52394,negated_conjecture,
    ( hskp2
    | c1_1(a1037)
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[47631,59]) ).

cnf(52395,negated_conjecture,
    ( hskp2
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[52394,58]) ).

cnf(52401,negated_conjecture,
    ( hskp6
    | ~ hskp1
    | ~ hskp19
    | ~ hskp5 ),
    inference(spm,[status(thm)],[13716,52395,theory(equality)]) ).

cnf(52410,negated_conjecture,
    ( hskp27
    | ~ hskp5
    | ~ hskp19 ),
    inference(spm,[status(thm)],[30246,52395,theory(equality)]) ).

cnf(52488,negated_conjecture,
    ( hskp19
    | hskp2
    | c1_1(a1008)
    | c1_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ hskp7
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[2786,107]) ).

cnf(52489,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | c1_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ hskp7
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[52488,17724]) ).

cnf(52490,negated_conjecture,
    ( hskp19
    | c1_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ hskp7
    | ~ c0_1(X1) ),
    inference(csr,[status(thm)],[52489,106]) ).

cnf(52495,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | hskp1
    | ~ hskp7
    | ~ c0_1(a1008) ),
    inference(spm,[status(thm)],[105,52490,theory(equality)]) ).

cnf(53846,negated_conjecture,
    ( hskp2
    | c2_1(a1012)
    | ~ hskp19
    | ~ hskp10 ),
    inference(csr,[status(thm)],[48463,94]) ).

cnf(53852,negated_conjecture,
    ( hskp6
    | hskp2
    | ~ hskp10
    | ~ hskp1
    | ~ hskp19 ),
    inference(spm,[status(thm)],[13873,53846,theory(equality)]) ).

cnf(53864,negated_conjecture,
    ( hskp6
    | hskp2
    | ~ hskp19
    | ~ hskp10 ),
    inference(csr,[status(thm)],[53852,3691]) ).

cnf(53869,negated_conjecture,
    ( hskp6
    | ~ hskp1
    | ~ hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[13716,53864,theory(equality)]) ).

cnf(53887,negated_conjecture,
    ( hskp6
    | hskp0
    | ~ hskp19
    | ~ hskp10
    | ~ hskp20 ),
    inference(spm,[status(thm)],[53869,2938,theory(equality)]) ).

cnf(54269,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp7
    | ~ c0_1(a1008) ),
    inference(csr,[status(thm)],[52495,106]) ).

cnf(54272,negated_conjecture,
    ( hskp19
    | hskp1
    | hskp2
    | ~ hskp7 ),
    inference(spm,[status(thm)],[54269,2776,theory(equality)]) ).

cnf(54299,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp7 ),
    inference(csr,[status(thm)],[54272,3691]) ).

cnf(54313,negated_conjecture,
    ( hskp27
    | hskp1
    | ~ hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[30246,54299,theory(equality)]) ).

cnf(54318,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp5
    | ~ hskp7 ),
    inference(spm,[status(thm)],[45334,54299,theory(equality)]) ).

cnf(54406,negated_conjecture,
    ( hskp8
    | hskp27
    | ~ hskp12
    | ~ hskp7
    | ~ hskp5 ),
    inference(spm,[status(thm)],[12277,54313,theory(equality)]) ).

cnf(54508,negated_conjecture,
    ( hskp27
    | hskp8
    | ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[54406,3329]) ).

cnf(54509,negated_conjecture,
    ( hskp8
    | ~ hskp12
    | ~ hskp5 ),
    inference(csr,[status(thm)],[54508,43274]) ).

cnf(54860,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp13
    | $false
    | ~ c0_1(a1023) ),
    inference(rw,[status(thm)],[37797,37774,theory(equality)]) ).

cnf(54861,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp13
    | ~ c0_1(a1023) ),
    inference(cn,[status(thm)],[54860,theory(equality)]) ).

cnf(54867,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp13
    | ~ hskp7 ),
    inference(spm,[status(thm)],[54861,6316,theory(equality)]) ).

cnf(54894,negated_conjecture,
    ( hskp22
    | c2_1(a1044)
    | ~ hskp13 ),
    inference(csr,[status(thm)],[54867,17182]) ).

cnf(54901,negated_conjecture,
    ( hskp17
    | hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[37730,54894,theory(equality)]) ).

cnf(54909,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[40005,54894,theory(equality)]) ).

cnf(55233,negated_conjecture,
    ( hskp22
    | c1_1(a1029)
    | c2_1(a1044)
    | ~ hskp27
    | $false ),
    inference(rw,[status(thm)],[37798,37774,theory(equality)]) ).

cnf(55234,negated_conjecture,
    ( hskp22
    | c1_1(a1029)
    | c2_1(a1044)
    | ~ hskp27 ),
    inference(cn,[status(thm)],[55233,theory(equality)]) ).

cnf(55241,negated_conjecture,
    ( hskp17
    | hskp22
    | c1_1(a1029)
    | ~ hskp27 ),
    inference(spm,[status(thm)],[37730,55234,theory(equality)]) ).

cnf(55299,negated_conjecture,
    ( hskp5
    | hskp22
    | hskp17
    | ~ hskp27
    | ~ hskp11 ),
    inference(spm,[status(thm)],[16456,55241,theory(equality)]) ).

cnf(55300,negated_conjecture,
    ( hskp17
    | hskp11
    | hskp22
    | ~ hskp27
    | ~ hskp8 ),
    inference(spm,[status(thm)],[22394,55241,theory(equality)]) ).

cnf(55391,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ hskp27
    | ~ hskp11 ),
    inference(csr,[status(thm)],[55299,37610]) ).

cnf(55411,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp11
    | ~ hskp27 ),
    inference(csr,[status(thm)],[55300,43274]) ).

cnf(55412,negated_conjecture,
    ( hskp22
    | hskp17
    | ~ hskp27 ),
    inference(csr,[status(thm)],[55411,55391]) ).

cnf(56057,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp9
    | ~ hskp25
    | ~ hskp8 ),
    inference(csr,[status(thm)],[38208,21863]) ).

cnf(56058,negated_conjecture,
    ( hskp19
    | hskp11
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[56057,51223]) ).

cnf(56227,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp8
    | hskp3
    | ~ hskp10 ),
    inference(csr,[status(thm)],[38218,37724]) ).

cnf(56228,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp8
    | hskp3 ),
    inference(csr,[status(thm)],[56227,37724]) ).

cnf(56229,negated_conjecture,
    ( hskp25
    | hskp17
    | hskp8 ),
    inference(csr,[status(thm)],[56228,37553]) ).

cnf(56343,negated_conjecture,
    ( hskp15
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1044)
    | $false ),
    inference(rw,[status(thm)],[37803,37777,theory(equality)]) ).

cnf(56344,negated_conjecture,
    ( hskp15
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[56343,theory(equality)]) ).

cnf(56350,negated_conjecture,
    ( hskp8
    | hskp15
    | ~ hskp25
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[12460,56344,theory(equality)]) ).

cnf(56451,negated_conjecture,
    ( hskp15
    | ~ hskp25
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[56350,10780]) ).

cnf(56883,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | c0_1(a1001)
    | $false
    | ~ hskp1 ),
    inference(rw,[status(thm)],[37818,37774,theory(equality)]) ).

cnf(56884,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | c0_1(a1001)
    | ~ hskp1 ),
    inference(cn,[status(thm)],[56883,theory(equality)]) ).

cnf(56887,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp9
    | c2_1(a1044)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1274,56884,theory(equality)]) ).

cnf(56890,negated_conjecture,
    ( hskp24
    | hskp3
    | hskp9
    | c2_1(a1044)
    | ~ hskp1 ),
    inference(spm,[status(thm)],[1416,56884,theory(equality)]) ).

cnf(58003,negated_conjecture,
    ( hskp17
    | hskp26
    | hskp19
    | hskp9
    | ~ hskp1 ),
    inference(spm,[status(thm)],[37730,56887,theory(equality)]) ).

cnf(58150,negated_conjecture,
    ( hskp17
    | hskp24
    | hskp9
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[37730,56890,theory(equality)]) ).

cnf(58430,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp11
    | $false
    | ~ c2_1(a1015) ),
    inference(rw,[status(thm)],[37819,37774,theory(equality)]) ).

cnf(58431,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp11
    | ~ c2_1(a1015) ),
    inference(cn,[status(thm)],[58430,theory(equality)]) ).

cnf(58432,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | hskp1
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[58431,2871,theory(equality)]) ).

cnf(58449,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp1
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[37730,58432,theory(equality)]) ).

cnf(59586,negated_conjecture,
    ( hskp20
    | c1_1(a1000)
    | c2_1(a1044)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[38685,135]) ).

cnf(59593,negated_conjecture,
    ( hskp17
    | hskp20
    | c1_1(a1000)
    | ~ hskp0 ),
    inference(spm,[status(thm)],[37730,59586,theory(equality)]) ).

cnf(59641,negated_conjecture,
    ( hskp20
    | hskp17
    | ~ hskp0 ),
    inference(csr,[status(thm)],[59593,9080]) ).

cnf(60260,negated_conjecture,
    ( hskp20
    | c1_1(a1012)
    | c2_1(a1044)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[38689,95]) ).

cnf(60261,negated_conjecture,
    ( hskp20
    | c2_1(a1044)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[60260,94]) ).

cnf(60268,negated_conjecture,
    ( hskp17
    | hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[37730,60261,theory(equality)]) ).

cnf(60276,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[40005,60261,theory(equality)]) ).

cnf(61017,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ c2_1(a1000)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[39008,135]) ).

cnf(61018,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp0 ),
    inference(csr,[status(thm)],[61017,134]) ).

cnf(61025,negated_conjecture,
    ( hskp17
    | hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[37730,61018,theory(equality)]) ).

cnf(61033,negated_conjecture,
    ( hskp5
    | c1_1(a1032)
    | hskp15
    | ~ hskp0 ),
    inference(spm,[status(thm)],[40005,61018,theory(equality)]) ).

cnf(61045,negated_conjecture,
    ( hskp15
    | ~ hskp25
    | ~ hskp1
    | ~ hskp0 ),
    inference(spm,[status(thm)],[56451,61018,theory(equality)]) ).

cnf(61091,negated_conjecture,
    ( c0_1(a1032)
    | c0_1(X1)
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[3236,67]) ).

cnf(61092,negated_conjecture,
    ( c0_1(X1)
    | ~ hskp17
    | ~ c1_1(a1032)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[61091,65]) ).

cnf(61098,negated_conjecture,
    ( c0_1(a1032)
    | ~ hskp17
    | ~ c1_1(a1032) ),
    inference(spm,[status(thm)],[61092,66,theory(equality)]) ).

cnf(61291,negated_conjecture,
    ( ~ hskp17
    | ~ c1_1(a1032) ),
    inference(csr,[status(thm)],[61098,65]) ).

cnf(61292,negated_conjecture,
    ( hskp25
    | hskp5
    | hskp3
    | ~ hskp17 ),
    inference(spm,[status(thm)],[61291,40019,theory(equality)]) ).

cnf(61293,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp17
    | ~ hskp8 ),
    inference(spm,[status(thm)],[61291,40013,theory(equality)]) ).

cnf(61294,negated_conjecture,
    ( hskp9
    | hskp5
    | ~ hskp17 ),
    inference(spm,[status(thm)],[61291,40017,theory(equality)]) ).

cnf(61299,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp17
    | ~ hskp13 ),
    inference(spm,[status(thm)],[61291,54909,theory(equality)]) ).

cnf(61303,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp17
    | ~ hskp10 ),
    inference(spm,[status(thm)],[61291,60276,theory(equality)]) ).

cnf(61313,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61294,17620,theory(equality)]) ).

cnf(61331,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp8
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61294,42451,theory(equality)]) ).

cnf(61346,negated_conjecture,
    ( hskp9
    | hskp5
    | hskp22
    | ~ hskp27 ),
    inference(spm,[status(thm)],[61294,55412,theory(equality)]) ).

cnf(61384,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ hskp0
    | ~ hskp5 ),
    inference(spm,[status(thm)],[61045,47142,theory(equality)]) ).

cnf(61664,negated_conjecture,
    ( hskp25
    | hskp5
    | hskp3 ),
    inference(csr,[status(thm)],[61292,37724]) ).

cnf(61691,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp8 ),
    inference(csr,[status(thm)],[61293,17184]) ).

cnf(61705,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp6
    | hskp22
    | ~ hskp8 ),
    inference(spm,[status(thm)],[45290,61691,theory(equality)]) ).

cnf(61760,negated_conjecture,
    ( hskp22
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[61299,54901]) ).

cnf(61794,negated_conjecture,
    ( hskp20
    | hskp5
    | ~ hskp10 ),
    inference(csr,[status(thm)],[61303,60268]) ).

cnf(61819,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp5
    | ~ hskp24
    | ~ hskp12 ),
    inference(spm,[status(thm)],[61313,29117,theory(equality)]) ).

cnf(61892,negated_conjecture,
    ( hskp13
    | hskp22
    | hskp9
    | ~ hskp10
    | ~ hskp27 ),
    inference(spm,[status(thm)],[51469,61346,theory(equality)]) ).

cnf(62933,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp17
    | ~ hskp0 ),
    inference(spm,[status(thm)],[61291,61033,theory(equality)]) ).

cnf(62934,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp0 ),
    inference(csr,[status(thm)],[62933,61025]) ).

cnf(62944,negated_conjecture,
    ( hskp15
    | hskp5
    | hskp8
    | ~ hskp26
    | ~ hskp12 ),
    inference(spm,[status(thm)],[62934,29610,theory(equality)]) ).

cnf(63523,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp5
    | ~ hskp20 ),
    inference(csr,[status(thm)],[61331,41206]) ).

cnf(63524,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ hskp20 ),
    inference(csr,[status(thm)],[63523,44339]) ).

cnf(63549,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp5
    | ~ hskp10 ),
    inference(spm,[status(thm)],[63524,61794,theory(equality)]) ).

cnf(63571,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp5 ),
    inference(csr,[status(thm)],[63549,51902]) ).

cnf(63572,negated_conjecture,
    ( hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[63571,44339]) ).

cnf(63642,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ hskp0 ),
    inference(csr,[status(thm)],[61384,62934]) ).

cnf(63649,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ hskp12
    | ~ hskp3 ),
    inference(spm,[status(thm)],[63642,28900,theory(equality)]) ).

cnf(63924,negated_conjecture,
    ( hskp29
    | hskp22
    | hskp21
    | hskp6 ),
    inference(csr,[status(thm)],[61705,47753]) ).

cnf(64281,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp5
    | ~ hskp24 ),
    inference(csr,[status(thm)],[61819,34783]) ).

cnf(64466,negated_conjecture,
    ( hskp22
    | hskp13
    | hskp9
    | hskp6
    | ~ hskp27 ),
    inference(spm,[status(thm)],[61892,11564,theory(equality)]) ).

cnf(64851,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[62944,43348]) ).

cnf(64852,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp12 ),
    inference(csr,[status(thm)],[64851,10780]) ).

cnf(64879,negated_conjecture,
    ( hskp8
    | hskp15
    | ~ hskp12 ),
    inference(spm,[status(thm)],[54509,64852,theory(equality)]) ).

cnf(64883,negated_conjecture,
    ( hskp15
    | ~ hskp12 ),
    inference(csr,[status(thm)],[64879,10780]) ).

cnf(64987,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25
    | ~ hskp12 ),
    inference(csr,[status(thm)],[63649,64883]) ).

cnf(64988,negated_conjecture,
    ( hskp15
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[64987,48357]) ).

cnf(65007,negated_conjecture,
    ( hskp15
    | hskp6
    | hskp5
    | hskp3 ),
    inference(spm,[status(thm)],[64988,61664,theory(equality)]) ).

cnf(65026,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp15
    | hskp3 ),
    inference(spm,[status(thm)],[47186,65007,theory(equality)]) ).

cnf(65041,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[65026,37553]) ).

cnf(65042,negated_conjecture,
    ( hskp15
    | hskp6 ),
    inference(csr,[status(thm)],[65041,10780]) ).

cnf(65317,negated_conjecture,
    ( c1_1(a1001)
    | c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3508,131]) ).

cnf(65318,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[65317,129]) ).

cnf(65319,negated_conjecture,
    ( ~ hskp6
    | ~ c1_1(a1044)
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[37772,65318,theory(equality)]) ).

cnf(65395,negated_conjecture,
    ( ~ hskp6
    | $false
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[65319,37774,theory(equality)]) ).

cnf(65396,negated_conjecture,
    ( ~ hskp6
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[65395,theory(equality)]) ).

cnf(65422,negated_conjecture,
    ( hskp20
    | ~ hskp6
    | ~ hskp1
    | ~ hskp10 ),
    inference(spm,[status(thm)],[65396,60261,theory(equality)]) ).

cnf(65622,negated_conjecture,
    ( hskp20
    | ~ hskp10
    | ~ hskp1 ),
    inference(csr,[status(thm)],[65422,32258]) ).

cnf(65692,negated_conjecture,
    ( c1_1(a1010)
    | c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(a1010)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3510,13461]) ).

cnf(65693,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(a1010)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[65692,101]) ).

cnf(65694,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1044)
    | ~ c2_1(a1010)
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[37772,65693,theory(equality)]) ).

cnf(65770,negated_conjecture,
    ( ~ hskp8
    | $false
    | ~ c2_1(a1010)
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[65694,37774,theory(equality)]) ).

cnf(65771,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[65770,theory(equality)]) ).

cnf(65900,negated_conjecture,
    ( hskp22
    | ~ hskp8
    | ~ c2_1(a1010) ),
    inference(spm,[status(thm)],[65771,17167,theory(equality)]) ).

cnf(65932,negated_conjecture,
    ( hskp22
    | hskp29
    | hskp21
    | hskp18
    | ~ hskp8 ),
    inference(spm,[status(thm)],[65900,7472,theory(equality)]) ).

cnf(66014,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3513,67]) ).

cnf(66015,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp17
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[66014,61291]) ).

cnf(66016,negated_conjecture,
    ( ~ hskp17
    | ~ hskp6
    | ~ c1_1(a1044)
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[37772,66015,theory(equality)]) ).

cnf(66092,negated_conjecture,
    ( ~ hskp17
    | ~ hskp6
    | $false
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[66016,37774,theory(equality)]) ).

cnf(66093,negated_conjecture,
    ( ~ hskp17
    | ~ hskp6
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[66092,theory(equality)]) ).

cnf(66094,negated_conjecture,
    ( ~ hskp6
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[66093,37730]) ).

cnf(66102,negated_conjecture,
    ( hskp9
    | ~ hskp6
    | ~ hskp17 ),
    inference(spm,[status(thm)],[66094,37649,theory(equality)]) ).

cnf(66104,negated_conjecture,
    ( hskp25
    | hskp3
    | ~ hskp6 ),
    inference(spm,[status(thm)],[66094,37748,theory(equality)]) ).

cnf(66120,negated_conjecture,
    ( hskp20
    | ~ hskp6
    | ~ hskp10 ),
    inference(spm,[status(thm)],[66094,60261,theory(equality)]) ).

cnf(66142,negated_conjecture,
    ( hskp9
    | hskp22
    | ~ hskp6
    | ~ hskp8 ),
    inference(spm,[status(thm)],[66102,17184,theory(equality)]) ).

cnf(66302,negated_conjecture,
    ( hskp22
    | hskp9
    | ~ hskp6 ),
    inference(csr,[status(thm)],[66142,63572]) ).

cnf(66404,negated_conjecture,
    ( c1_1(a1029)
    | c3_1(X1)
    | ~ hskp27
    | ~ hskp6
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3517,26]) ).

cnf(66405,negated_conjecture,
    ( c1_1(a1029)
    | c3_1(X1)
    | ~ hskp27
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[66404,13994]) ).

cnf(66408,negated_conjecture,
    ( c1_1(a1029)
    | ~ hskp4
    | ~ hskp27
    | ~ c1_1(a1004)
    | ~ c2_1(a1004) ),
    inference(spm,[status(thm)],[117,66405,theory(equality)]) ).

cnf(66904,negated_conjecture,
    ( hskp22
    | hskp13
    | hskp9
    | hskp6 ),
    inference(csr,[status(thm)],[64466,51617]) ).

cnf(66905,negated_conjecture,
    ( hskp22
    | hskp13
    | hskp9 ),
    inference(csr,[status(thm)],[66904,66302]) ).

cnf(67281,negated_conjecture,
    ( hskp29
    | hskp21
    | hskp18
    | ~ hskp8 ),
    inference(csr,[status(thm)],[65932,7526]) ).

cnf(67282,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp29
    | hskp21
    | ~ hskp8 ),
    inference(spm,[status(thm)],[2269,67281,theory(equality)]) ).

cnf(67497,negated_conjecture,
    ( c1_1(a1001)
    | c3_1(X1)
    | c2_1(a1010)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3613,131]) ).

cnf(67498,negated_conjecture,
    ( c1_1(a1001)
    | c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[67497,65693]) ).

cnf(67499,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ hskp1
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[67498,129]) ).

cnf(67500,negated_conjecture,
    ( ~ hskp8
    | ~ c1_1(a1044)
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[37772,67499,theory(equality)]) ).

cnf(67577,negated_conjecture,
    ( ~ hskp8
    | $false
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[67500,37774,theory(equality)]) ).

cnf(67578,negated_conjecture,
    ( ~ hskp8
    | ~ hskp1
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[67577,theory(equality)]) ).

cnf(67585,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp8
    | ~ hskp1
    | ~ c1_1(a1044) ),
    inference(spm,[status(thm)],[67578,16925,theory(equality)]) ).

cnf(67607,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp8
    | ~ hskp1
    | $false ),
    inference(rw,[status(thm)],[67585,37774,theory(equality)]) ).

cnf(67608,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp8
    | ~ hskp1 ),
    inference(cn,[status(thm)],[67607,theory(equality)]) ).

cnf(67645,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp1 ),
    inference(csr,[status(thm)],[67608,47753]) ).

cnf(67662,negated_conjecture,
    ( hskp22
    | hskp6
    | hskp27
    | ~ hskp21
    | ~ hskp5 ),
    inference(spm,[status(thm)],[67645,30248,theory(equality)]) ).

cnf(68263,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | c2_1(a1010)
    | ~ hskp17
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[3618,67]) ).

cnf(68264,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[68263,65693]) ).

cnf(68265,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp17
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[68264,61291]) ).

cnf(68266,negated_conjecture,
    ( ~ hskp17
    | ~ hskp8
    | ~ c1_1(a1044)
    | ~ c2_1(a1044) ),
    inference(spm,[status(thm)],[37772,68265,theory(equality)]) ).

cnf(68343,negated_conjecture,
    ( ~ hskp17
    | ~ hskp8
    | $false
    | ~ c2_1(a1044) ),
    inference(rw,[status(thm)],[68266,37774,theory(equality)]) ).

cnf(68344,negated_conjecture,
    ( ~ hskp17
    | ~ hskp8
    | ~ c2_1(a1044) ),
    inference(cn,[status(thm)],[68343,theory(equality)]) ).

cnf(68345,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[68344,37730]) ).

cnf(68353,negated_conjecture,
    ( hskp9
    | ~ hskp8
    | ~ hskp17 ),
    inference(spm,[status(thm)],[68345,37649,theory(equality)]) ).

cnf(68354,negated_conjecture,
    ( hskp6
    | ~ hskp8
    | ~ hskp27 ),
    inference(spm,[status(thm)],[68345,37719,theory(equality)]) ).

cnf(68380,negated_conjecture,
    ( hskp9
    | ~ hskp17 ),
    inference(csr,[status(thm)],[68353,63572]) ).

cnf(68389,negated_conjecture,
    ( hskp9
    | hskp19
    | ~ hskp0 ),
    inference(spm,[status(thm)],[68380,17620,theory(equality)]) ).

cnf(68394,negated_conjecture,
    ( hskp9
    | hskp11
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[68380,35622,theory(equality)]) ).

cnf(68395,negated_conjecture,
    ( hskp9
    | ~ hskp5 ),
    inference(spm,[status(thm)],[68380,37610,theory(equality)]) ).

cnf(68396,negated_conjecture,
    ( hskp9
    | hskp19
    | ~ hskp10 ),
    inference(spm,[status(thm)],[68380,37602,theory(equality)]) ).

cnf(68398,negated_conjecture,
    ( hskp9
    | hskp25
    | hskp3 ),
    inference(spm,[status(thm)],[68380,37724,theory(equality)]) ).

cnf(68421,negated_conjecture,
    ( hskp9
    | hskp22
    | ~ hskp13 ),
    inference(spm,[status(thm)],[68380,54901,theory(equality)]) ).

cnf(68424,negated_conjecture,
    ( hskp9
    | hskp26
    | hskp19
    | ~ hskp1 ),
    inference(spm,[status(thm)],[68380,58003,theory(equality)]) ).

cnf(68425,negated_conjecture,
    ( hskp9
    | hskp24
    | hskp3
    | ~ hskp1 ),
    inference(spm,[status(thm)],[68380,58150,theory(equality)]) ).

cnf(68426,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0
    | ~ hskp11 ),
    inference(spm,[status(thm)],[68380,58449,theory(equality)]) ).

cnf(68451,negated_conjecture,
    ( hskp9
    | hskp19
    | ~ hskp24 ),
    inference(spm,[status(thm)],[68395,64281,theory(equality)]) ).

cnf(68467,negated_conjecture,
    ( hskp6
    | ~ hskp27 ),
    inference(csr,[status(thm)],[68354,43274]) ).

cnf(68531,negated_conjecture,
    ( hskp22
    | hskp9 ),
    inference(csr,[status(thm)],[68421,66905]) ).

cnf(68533,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp29 ),
    inference(spm,[status(thm)],[12903,68531,theory(equality)]) ).

cnf(68710,negated_conjecture,
    ( hskp11
    | hskp9
    | ~ hskp19 ),
    inference(csr,[status(thm)],[68394,63572]) ).

cnf(68871,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp10
    | ~ hskp26 ),
    inference(spm,[status(thm)],[68425,51881,theory(equality)]) ).

cnf(68893,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0
    | hskp19
    | ~ hskp25 ),
    inference(spm,[status(thm)],[68426,56058,theory(equality)]) ).

cnf(68895,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[68426,68710,theory(equality)]) ).

cnf(69254,negated_conjecture,
    ( hskp13
    | hskp2
    | c1_1(a1005)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[3652,113]) ).

cnf(69255,negated_conjecture,
    ( hskp13
    | hskp2
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(X1)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[69254,115]) ).

cnf(69259,negated_conjecture,
    ( hskp13
    | hskp2
    | c1_1(a1005)
    | c2_1(a1005)
    | ~ hskp5 ),
    inference(spm,[status(thm)],[113,69255,theory(equality)]) ).

cnf(69336,negated_conjecture,
    ( hskp29
    | hskp22
    | hskp21
    | hskp6 ),
    inference(csr,[status(thm)],[67282,63924]) ).

cnf(69337,negated_conjecture,
    ( hskp22
    | hskp21
    | hskp6 ),
    inference(csr,[status(thm)],[69336,68533]) ).

cnf(69354,negated_conjecture,
    ( hskp27
    | hskp22
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[67662,69337]) ).

cnf(69355,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp5 ),
    inference(csr,[status(thm)],[69354,68467]) ).

cnf(69367,negated_conjecture,
    ( hskp22
    | hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[69355,61760,theory(equality)]) ).

cnf(69380,negated_conjecture,
    ( hskp22
    | hskp6 ),
    inference(csr,[status(thm)],[69367,51617]) ).

cnf(69859,negated_conjecture,
    ( c1_1(a1032)
    | c3_1(X1)
    | ~ hskp17
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[3699,67]) ).

cnf(69860,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp17
    | ~ hskp13
    | ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[69859,61291]) ).

cnf(69861,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | ~ c1_1(a1044)
    | ~ c2_1(a1044)
    | ~ c0_1(a1023) ),
    inference(spm,[status(thm)],[37772,69860,theory(equality)]) ).

cnf(69937,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | $false
    | ~ c2_1(a1044)
    | ~ c0_1(a1023) ),
    inference(rw,[status(thm)],[69861,37774,theory(equality)]) ).

cnf(69938,negated_conjecture,
    ( ~ hskp17
    | ~ hskp13
    | ~ c2_1(a1044)
    | ~ c0_1(a1023) ),
    inference(cn,[status(thm)],[69937,theory(equality)]) ).

cnf(69967,negated_conjecture,
    ( hskp24
    | hskp10
    | hskp9
    | ~ hskp26 ),
    inference(csr,[status(thm)],[68871,1869]) ).

cnf(69968,negated_conjecture,
    ( hskp10
    | hskp9
    | ~ hskp26 ),
    inference(csr,[status(thm)],[69967,4510]) ).

cnf(69980,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp26 ),
    inference(spm,[status(thm)],[68396,69968,theory(equality)]) ).

cnf(70053,negated_conjecture,
    ( hskp9
    | hskp1
    | hskp0
    | ~ hskp25 ),
    inference(csr,[status(thm)],[68893,68895]) ).

cnf(70070,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp9
    | hskp0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[68424,70053,theory(equality)]) ).

cnf(70071,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0
    | ~ hskp25 ),
    inference(spm,[status(thm)],[68425,70053,theory(equality)]) ).

cnf(70633,negated_conjecture,
    ( hskp26
    | hskp19
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[70070,68389]) ).

cnf(70634,negated_conjecture,
    ( hskp19
    | hskp9
    | ~ hskp25 ),
    inference(csr,[status(thm)],[70633,69980]) ).

cnf(70635,negated_conjecture,
    ( hskp19
    | hskp9
    | hskp24 ),
    inference(spm,[status(thm)],[70634,8,theory(equality)]) ).

cnf(70651,negated_conjecture,
    ( hskp19
    | hskp9 ),
    inference(csr,[status(thm)],[70635,68451]) ).

cnf(70657,negated_conjecture,
    ( hskp24
    | hskp9
    | hskp3
    | hskp0 ),
    inference(csr,[status(thm)],[70071,68398]) ).

cnf(71488,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1044)
    | ~ c0_1(a1023) ),
    inference(csr,[status(thm)],[69938,37730]) ).

cnf(71494,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1044)
    | ~ hskp7 ),
    inference(spm,[status(thm)],[71488,6316,theory(equality)]) ).

cnf(71521,negated_conjecture,
    ( ~ hskp13
    | ~ c2_1(a1044) ),
    inference(csr,[status(thm)],[71494,37769]) ).

cnf(71708,negated_conjecture,
    ( hskp13
    | hskp2
    | c1_1(a1005)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[69259,114]) ).

cnf(71709,negated_conjecture,
    ( hskp13
    | hskp2
    | ~ hskp5 ),
    inference(csr,[status(thm)],[71708,115]) ).

cnf(71715,negated_conjecture,
    ( hskp27
    | hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[30246,71709,theory(equality)]) ).

cnf(71851,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp4
    | ~ c0_1(a1004) ),
    inference(csr,[status(thm)],[39009,118]) ).

cnf(71869,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | hskp11
    | ~ hskp4
    | ~ hskp24 ),
    inference(spm,[status(thm)],[71851,23201,theory(equality)]) ).

cnf(72087,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp6
    | ~ hskp24
    | ~ hskp4 ),
    inference(spm,[status(thm)],[66094,71869,theory(equality)]) ).

cnf(72138,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp24
    | ~ hskp6 ),
    inference(csr,[status(thm)],[72087,43352]) ).

cnf(72139,negated_conjecture,
    ( hskp15
    | hskp11
    | ~ hskp24 ),
    inference(csr,[status(thm)],[72138,65042]) ).

cnf(72143,negated_conjecture,
    ( hskp8
    | hskp5
    | hskp15
    | ~ hskp13
    | ~ hskp24 ),
    inference(spm,[status(thm)],[16508,72139,theory(equality)]) ).

cnf(72186,negated_conjecture,
    ( hskp15
    | hskp8
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[72143,6357]) ).

cnf(72187,negated_conjecture,
    ( hskp15
    | hskp5
    | ~ hskp13 ),
    inference(csr,[status(thm)],[72186,10780]) ).

cnf(72191,negated_conjecture,
    ( hskp12
    | hskp15
    | ~ hskp6
    | ~ hskp13 ),
    inference(spm,[status(thm)],[36100,72187,theory(equality)]) ).

cnf(72214,negated_conjecture,
    ( hskp15
    | hskp12
    | ~ hskp13 ),
    inference(csr,[status(thm)],[72191,65042]) ).

cnf(72215,negated_conjecture,
    ( hskp15
    | ~ hskp13 ),
    inference(csr,[status(thm)],[72214,64883]) ).

cnf(72499,negated_conjecture,
    ( hskp15
    | c2_1(a1044)
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[39012,95]) ).

cnf(72523,negated_conjecture,
    ( hskp15
    | ~ hskp6
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(spm,[status(thm)],[66094,72499,theory(equality)]) ).

cnf(72582,negated_conjecture,
    ( hskp15
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[72523,65042]) ).

cnf(72595,negated_conjecture,
    ( hskp15
    | hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[72582,46333,theory(equality)]) ).

cnf(72601,negated_conjecture,
    ( hskp15
    | ~ hskp10 ),
    inference(csr,[status(thm)],[72595,72215]) ).

cnf(73563,negated_conjecture,
    ( hskp16
    | c1_1(a1005)
    | c2_1(a1044)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[40969,114]) ).

cnf(73564,negated_conjecture,
    ( hskp16
    | c2_1(a1044)
    | ~ hskp5 ),
    inference(csr,[status(thm)],[73563,115]) ).

cnf(73592,negated_conjecture,
    ( hskp16
    | ~ hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[71521,73564,theory(equality)]) ).

cnf(73713,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp3
    | ~ hskp13
    | ~ hskp5 ),
    inference(spm,[status(thm)],[45886,73592,theory(equality)]) ).

cnf(74229,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp3
    | ~ hskp13 ),
    inference(csr,[status(thm)],[73713,61664]) ).

cnf(74230,negated_conjecture,
    ( hskp25
    | hskp6
    | hskp3 ),
    inference(csr,[status(thm)],[74229,51617]) ).

cnf(74231,negated_conjecture,
    ( hskp25
    | hskp3 ),
    inference(csr,[status(thm)],[74230,66104]) ).

cnf(74660,negated_conjecture,
    ( hskp27
    | hskp7
    | hskp1
    | ~ hskp25
    | ~ hskp5 ),
    inference(csr,[status(thm)],[44399,71715]) ).

cnf(74661,negated_conjecture,
    ( hskp27
    | hskp1
    | ~ hskp25
    | ~ hskp5 ),
    inference(csr,[status(thm)],[74660,54313]) ).

cnf(74670,negated_conjecture,
    ( hskp6
    | hskp27
    | ~ hskp19
    | ~ hskp5
    | ~ hskp25 ),
    inference(spm,[status(thm)],[52401,74661,theory(equality)]) ).

cnf(74680,negated_conjecture,
    ( hskp27
    | hskp6
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[74670,52410]) ).

cnf(74681,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp5 ),
    inference(csr,[status(thm)],[74680,68467]) ).

cnf(74966,negated_conjecture,
    ( hskp16
    | c2_1(a1012)
    | c2_1(a1044)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[40971,94]) ).

cnf(74994,negated_conjecture,
    ( hskp16
    | c2_1(a1012)
    | ~ hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[71521,74966,theory(equality)]) ).

cnf(75142,negated_conjecture,
    ( hskp16
    | c2_1(a1012)
    | ~ hskp10 ),
    inference(csr,[status(thm)],[74994,46333]) ).

cnf(75146,negated_conjecture,
    ( c1_1(a1052)
    | hskp16
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[6691,75142,theory(equality)]) ).

cnf(75238,negated_conjecture,
    ( hskp7
    | hskp16
    | ~ hskp13
    | ~ hskp26
    | ~ hskp10 ),
    inference(spm,[status(thm)],[44578,75146,theory(equality)]) ).

cnf(75493,negated_conjecture,
    ( hskp16
    | hskp7
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[75238,44282]) ).

cnf(75502,negated_conjecture,
    ( hskp3
    | hskp7
    | ~ hskp15
    | ~ hskp13
    | ~ hskp10 ),
    inference(spm,[status(thm)],[50878,75493,theory(equality)]) ).

cnf(75839,negated_conjecture,
    ( hskp7
    | hskp3
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[75502,72601]) ).

cnf(75840,negated_conjecture,
    ( hskp7
    | ~ hskp13
    | ~ hskp10 ),
    inference(csr,[status(thm)],[75839,44061]) ).

cnf(76335,negated_conjecture,
    ( hskp19
    | hskp7
    | hskp6
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[45409,37757]) ).

cnf(76336,negated_conjecture,
    ( hskp19
    | hskp6
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[76335,54318]) ).

cnf(76337,negated_conjecture,
    ( hskp6
    | hskp1
    | ~ hskp5 ),
    inference(csr,[status(thm)],[76336,74681]) ).

cnf(76346,negated_conjecture,
    ( hskp20
    | hskp6
    | ~ hskp10
    | ~ hskp5 ),
    inference(spm,[status(thm)],[65622,76337,theory(equality)]) ).

cnf(76366,negated_conjecture,
    ( hskp20
    | hskp6
    | ~ hskp10 ),
    inference(csr,[status(thm)],[76346,61794]) ).

cnf(76367,negated_conjecture,
    ( hskp20
    | ~ hskp10 ),
    inference(csr,[status(thm)],[76366,66120]) ).

cnf(76436,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp8
    | ~ hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[45901,74681]) ).

cnf(77243,negated_conjecture,
    ( hskp24
    | hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp1 ),
    inference(csr,[status(thm)],[46164,69380]) ).

cnf(77244,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp1 ),
    inference(csr,[status(thm)],[77243,43266]) ).

cnf(78055,negated_conjecture,
    ( c1_1(a1002)
    | c1_1(X1)
    | c0_1(X1)
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[5064,126]) ).

cnf(78056,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[78055,125]) ).

cnf(78058,negated_conjecture,
    ( c1_1(a1015)
    | ~ hskp11
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1015) ),
    inference(spm,[status(thm)],[90,78056,theory(equality)]) ).

cnf(78060,negated_conjecture,
    ( c1_1(a1026)
    | ~ hskp15
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1026) ),
    inference(spm,[status(thm)],[74,78056,theory(equality)]) ).

cnf(78061,negated_conjecture,
    ( c1_1(a1032)
    | ~ hskp17
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1032) ),
    inference(spm,[status(thm)],[65,78056,theory(equality)]) ).

cnf(78062,negated_conjecture,
    ( c1_1(a1037)
    | ~ hskp19
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1037) ),
    inference(spm,[status(thm)],[59,78056,theory(equality)]) ).

cnf(78194,negated_conjecture,
    ( ~ hskp11
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1015) ),
    inference(csr,[status(thm)],[78058,89]) ).

cnf(78195,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp11
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[78194,2871,theory(equality)]) ).

cnf(78203,negated_conjecture,
    ( hskp1
    | hskp0
    | ~ hskp11
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78195,68426]) ).

cnf(78210,negated_conjecture,
    ( hskp1
    | hskp0
    | hskp7
    | ~ hskp2
    | ~ hskp4 ),
    inference(spm,[status(thm)],[78203,22443,theory(equality)]) ).

cnf(78323,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp9
    | ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[5066,101]) ).

cnf(78461,negated_conjecture,
    ( hskp7
    | hskp1
    | hskp0
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78210,44089]) ).

cnf(78462,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78461,50038]) ).

cnf(78464,negated_conjecture,
    ( hskp7
    | hskp1
    | ~ hskp4 ),
    inference(spm,[status(thm)],[78462,3142,theory(equality)]) ).

cnf(78512,negated_conjecture,
    ( hskp7
    | hskp1 ),
    inference(csr,[status(thm)],[78464,44089]) ).

cnf(79576,negated_conjecture,
    ( c1_1(a1026)
    | ~ hskp15
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78060,75]) ).

cnf(79577,negated_conjecture,
    ( ~ hskp15
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[79576,73]) ).

cnf(79590,negated_conjecture,
    ( hskp1
    | ~ hskp15
    | ~ hskp9
    | ~ hskp7 ),
    inference(spm,[status(thm)],[79577,54299,theory(equality)]) ).

cnf(79643,negated_conjecture,
    ( hskp1
    | ~ hskp15
    | ~ hskp9 ),
    inference(csr,[status(thm)],[79590,78512]) ).

cnf(79655,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp15
    | ~ hskp9 ),
    inference(spm,[status(thm)],[77244,79643,theory(equality)]) ).

cnf(79910,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25
    | ~ hskp15 ),
    inference(csr,[status(thm)],[79655,63572]) ).

cnf(79911,negated_conjecture,
    ( hskp8
    | hskp6
    | ~ hskp25 ),
    inference(csr,[status(thm)],[79910,65042]) ).

cnf(79916,negated_conjecture,
    ( hskp8
    | hskp6
    | hskp3 ),
    inference(spm,[status(thm)],[79911,74231,theory(equality)]) ).

cnf(79918,negated_conjecture,
    ( hskp8
    | hskp6 ),
    inference(csr,[status(thm)],[79916,37553]) ).

cnf(80123,negated_conjecture,
    ( c1_1(a1032)
    | ~ hskp17
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[78061,67]) ).

cnf(80124,negated_conjecture,
    ( c1_1(a1032)
    | ~ hskp17
    | ~ hskp2 ),
    inference(csr,[status(thm)],[80123,68380]) ).

cnf(80125,negated_conjecture,
    ( ~ hskp17
    | ~ hskp2 ),
    inference(csr,[status(thm)],[80124,61291]) ).

cnf(80133,negated_conjecture,
    ( hskp19
    | ~ hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[80125,17620,theory(equality)]) ).

cnf(80136,negated_conjecture,
    ( hskp11
    | ~ hskp2
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[80125,35622,theory(equality)]) ).

cnf(80144,negated_conjecture,
    ( hskp8
    | ~ hskp2
    | ~ hskp20
    | ~ hskp0 ),
    inference(spm,[status(thm)],[80125,42451,theory(equality)]) ).

cnf(80159,negated_conjecture,
    ( hskp20
    | ~ hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[80125,59641,theory(equality)]) ).

cnf(80343,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp0
    | ~ hskp7 ),
    inference(spm,[status(thm)],[80133,54299,theory(equality)]) ).

cnf(80551,negated_conjecture,
    ( hskp11
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[80136,21601]) ).

cnf(80603,negated_conjecture,
    ( hskp8
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[80144,80159]) ).

cnf(80779,negated_conjecture,
    ( hskp19
    | hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[80343,50038]) ).

cnf(82651,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | c2_1(a1015)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6096,90]) ).

cnf(82652,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | c2_1(a1015)
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[82651,89]) ).

cnf(82654,negated_conjecture,
    ( c1_1(a1000)
    | c2_1(a1015)
    | ~ hskp0
    | ~ hskp11
    | ~ c2_1(a1000) ),
    inference(spm,[status(thm)],[133,82652,theory(equality)]) ).

cnf(82657,negated_conjecture,
    ( c1_1(a1008)
    | c2_1(a1015)
    | ~ hskp7
    | ~ hskp11
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,82652,theory(equality)]) ).

cnf(83458,negated_conjecture,
    ( ~ hskp19
    | ~ hskp9
    | ~ hskp2
    | ~ c2_1(a1037) ),
    inference(csr,[status(thm)],[78062,58]) ).

cnf(83465,negated_conjecture,
    ( hskp17
    | ~ hskp19
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[83458,37588,theory(equality)]) ).

cnf(83484,negated_conjecture,
    ( ~ hskp19
    | ~ hskp9
    | ~ hskp2 ),
    inference(csr,[status(thm)],[83465,80125]) ).

cnf(84714,negated_conjecture,
    ( c1_1(a1029)
    | ~ hskp27
    | ~ hskp4
    | ~ c1_1(a1004) ),
    inference(csr,[status(thm)],[66408,118]) ).

cnf(84715,negated_conjecture,
    ( c1_1(a1029)
    | ~ hskp27
    | ~ hskp4 ),
    inference(csr,[status(thm)],[84714,119]) ).

cnf(84716,negated_conjecture,
    ( c1_1(a1029)
    | ~ hskp27 ),
    inference(csr,[status(thm)],[84715,48302]) ).

cnf(84717,negated_conjecture,
    ( hskp7
    | ~ hskp27 ),
    inference(spm,[status(thm)],[1204,84716,theory(equality)]) ).

cnf(84748,negated_conjecture,
    ( hskp7
    | hskp26 ),
    inference(spm,[status(thm)],[84717,11,theory(equality)]) ).

cnf(85676,negated_conjecture,
    ( c1_1(a1000)
    | c2_1(a1015)
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[82654,134]) ).

cnf(85689,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | c1_1(a1000)
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[58431,85676,theory(equality)]) ).

cnf(85692,negated_conjecture,
    ( c1_1(a1000)
    | ~ hskp11
    | ~ hskp9
    | ~ hskp2
    | ~ hskp0 ),
    inference(spm,[status(thm)],[78194,85676,theory(equality)]) ).

cnf(85760,negated_conjecture,
    ( hskp17
    | ~ hskp0
    | ~ hskp11
    | ~ hskp9
    | ~ hskp2 ),
    inference(spm,[status(thm)],[9080,85692,theory(equality)]) ).

cnf(85774,negated_conjecture,
    ( ~ hskp11
    | ~ hskp9
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[85760,80125]) ).

cnf(85794,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp0
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[85774,80551,theory(equality)]) ).

cnf(85848,negated_conjecture,
    ( ~ hskp19
    | ~ hskp9
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[85794,80603]) ).

cnf(85849,negated_conjecture,
    ( ~ hskp9
    | ~ hskp2
    | ~ hskp0 ),
    inference(csr,[status(thm)],[85848,80133]) ).

cnf(85851,negated_conjecture,
    ( hskp1
    | ~ hskp9
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[85849,3691,theory(equality)]) ).

cnf(85869,negated_conjecture,
    ( hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[85851,80779]) ).

cnf(85933,negated_conjecture,
    ( hskp17
    | hskp9
    | c1_1(a1000)
    | ~ hskp11
    | ~ hskp0 ),
    inference(spm,[status(thm)],[37730,85689,theory(equality)]) ).

cnf(86001,negated_conjecture,
    ( hskp17
    | hskp9
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[85933,9080]) ).

cnf(86002,negated_conjecture,
    ( hskp9
    | ~ hskp11
    | ~ hskp0 ),
    inference(csr,[status(thm)],[86001,68380]) ).

cnf(86016,negated_conjecture,
    ( hskp9
    | ~ hskp0
    | ~ hskp19 ),
    inference(spm,[status(thm)],[86002,68710,theory(equality)]) ).

cnf(86024,negated_conjecture,
    ( hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[86016,70651]) ).

cnf(86034,negated_conjecture,
    ( hskp9
    | hskp24
    | hskp3 ),
    inference(spm,[status(thm)],[86024,70657,theory(equality)]) ).

cnf(86252,negated_conjecture,
    ( c1_1(a1008)
    | c2_1(a1015)
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[82657,107]) ).

cnf(86253,negated_conjecture,
    ( c2_1(a1015)
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[86252,106]) ).

cnf(86265,negated_conjecture,
    ( hskp9
    | c2_1(a1044)
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[58431,86253,theory(equality)]) ).

cnf(86290,negated_conjecture,
    ( hskp17
    | hskp9
    | ~ hskp11
    | ~ hskp7 ),
    inference(spm,[status(thm)],[37730,86265,theory(equality)]) ).

cnf(86385,negated_conjecture,
    ( hskp9
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[86290,68380]) ).

cnf(86399,negated_conjecture,
    ( hskp9
    | ~ hskp7
    | ~ hskp19 ),
    inference(spm,[status(thm)],[86385,68710,theory(equality)]) ).

cnf(86407,negated_conjecture,
    ( hskp9
    | ~ hskp7 ),
    inference(csr,[status(thm)],[86399,70651]) ).

cnf(87080,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6365,90]) ).

cnf(87081,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[87080,89]) ).

cnf(87087,negated_conjecture,
    ( c1_1(a1012)
    | ~ hskp10
    | ~ hskp24
    | ~ hskp11
    | ~ c2_1(a1012) ),
    inference(spm,[status(thm)],[93,87081,theory(equality)]) ).

cnf(87204,negated_conjecture,
    ( c1_1(a1032)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6367,65]) ).

cnf(87205,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | ~ hskp24
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[87204,61291]) ).

cnf(87210,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp7
    | ~ hskp24
    | ~ hskp17
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,87205,theory(equality)]) ).

cnf(87861,negated_conjecture,
    ( ~ hskp24
    | ~ hskp11
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[87087,94]) ).

cnf(87866,negated_conjecture,
    ( hskp17
    | ~ hskp24
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[87861,37606,theory(equality)]) ).

cnf(87871,negated_conjecture,
    ( hskp16
    | ~ hskp24
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[87861,75142,theory(equality)]) ).

cnf(87874,negated_conjecture,
    ( hskp9
    | ~ hskp24
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[68380,87866,theory(equality)]) ).

cnf(87909,negated_conjecture,
    ( hskp3
    | ~ hskp15
    | ~ hskp24
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[50878,87871,theory(equality)]) ).

cnf(87924,negated_conjecture,
    ( hskp9
    | ~ hskp24
    | ~ hskp11 ),
    inference(csr,[status(thm)],[87874,4510]) ).

cnf(87936,negated_conjecture,
    ( hskp9
    | ~ hskp24
    | ~ hskp19 ),
    inference(spm,[status(thm)],[87924,68710,theory(equality)]) ).

cnf(87950,negated_conjecture,
    ( hskp9
    | ~ hskp24 ),
    inference(csr,[status(thm)],[87936,70651]) ).

cnf(88160,negated_conjecture,
    ( hskp3
    | ~ hskp24
    | ~ hskp11
    | ~ hskp10 ),
    inference(csr,[status(thm)],[87909,72601]) ).

cnf(88165,negated_conjecture,
    ( hskp3
    | ~ hskp24
    | ~ hskp10
    | ~ hskp25 ),
    inference(spm,[status(thm)],[88160,23486,theory(equality)]) ).

cnf(88180,negated_conjecture,
    ( hskp3
    | ~ hskp24
    | ~ hskp10 ),
    inference(csr,[status(thm)],[88165,74231]) ).

cnf(88183,negated_conjecture,
    ( hskp3
    | hskp9
    | ~ hskp24
    | ~ hskp26 ),
    inference(spm,[status(thm)],[88180,69968,theory(equality)]) ).

cnf(88198,negated_conjecture,
    ( hskp9
    | hskp3
    | ~ hskp24 ),
    inference(csr,[status(thm)],[88183,87950]) ).

cnf(88199,negated_conjecture,
    ( hskp9
    | hskp3 ),
    inference(csr,[status(thm)],[88198,86034]) ).

cnf(88667,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp24
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[87210,107]) ).

cnf(88668,negated_conjecture,
    ( ~ hskp24
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[88667,106]) ).

cnf(88694,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp24
    | ~ hskp7
    | ~ hskp4 ),
    inference(spm,[status(thm)],[88668,51719,theory(equality)]) ).

cnf(88869,negated_conjecture,
    ( c1_1(a1015)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6461,90]) ).

cnf(88870,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ hskp11
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[88869,89]) ).

cnf(88875,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp7
    | ~ hskp26
    | ~ hskp11
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,88870,theory(equality)]) ).

cnf(88876,negated_conjecture,
    ( c1_1(a1012)
    | ~ hskp10
    | ~ hskp26
    | ~ hskp11
    | ~ c2_1(a1012) ),
    inference(spm,[status(thm)],[93,88870,theory(equality)]) ).

cnf(88994,negated_conjecture,
    ( c1_1(a1032)
    | c1_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[6463,65]) ).

cnf(88995,negated_conjecture,
    ( c1_1(X1)
    | c3_1(X1)
    | ~ hskp26
    | ~ hskp17
    | ~ c2_1(X1) ),
    inference(csr,[status(thm)],[88994,61291]) ).

cnf(89000,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp7
    | ~ hskp26
    | ~ hskp17
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[105,88995,theory(equality)]) ).

cnf(89085,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp24
    | ~ hskp7 ),
    inference(csr,[status(thm)],[88694,54299]) ).

cnf(89086,negated_conjecture,
    ( hskp2
    | hskp1
    | ~ hskp24 ),
    inference(csr,[status(thm)],[89085,78512]) ).

cnf(89118,negated_conjecture,
    ( hskp1
    | ~ hskp9
    | ~ hskp0
    | ~ hskp24 ),
    inference(spm,[status(thm)],[85849,89086,theory(equality)]) ).

cnf(89149,negated_conjecture,
    ( hskp1
    | ~ hskp9
    | ~ hskp0 ),
    inference(csr,[status(thm)],[89118,85869]) ).

cnf(89150,negated_conjecture,
    ( hskp1
    | ~ hskp0 ),
    inference(csr,[status(thm)],[89149,86024]) ).

cnf(89153,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp8
    | ~ hskp0 ),
    inference(spm,[status(thm)],[76436,89150,theory(equality)]) ).

cnf(89180,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp0 ),
    inference(csr,[status(thm)],[89153,79918]) ).

cnf(89185,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp20
    | ~ hskp10 ),
    inference(spm,[status(thm)],[89180,53887,theory(equality)]) ).

cnf(89206,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp10 ),
    inference(csr,[status(thm)],[89185,76367]) ).

cnf(90559,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp26
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[88875,107]) ).

cnf(90560,negated_conjecture,
    ( ~ hskp26
    | ~ hskp11
    | ~ hskp7 ),
    inference(csr,[status(thm)],[90559,106]) ).

cnf(90566,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp7
    | ~ hskp8
    | ~ hskp4 ),
    inference(spm,[status(thm)],[90560,24352,theory(equality)]) ).

cnf(90577,negated_conjecture,
    ( ~ hskp26
    | ~ hskp7
    | ~ hskp19
    | ~ hskp8 ),
    inference(spm,[status(thm)],[90560,80551,theory(equality)]) ).

cnf(90674,negated_conjecture,
    ( hskp4
    | ~ hskp26
    | ~ hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[90577,37757,theory(equality)]) ).

cnf(90677,negated_conjecture,
    ( hskp4
    | ~ hskp26
    | ~ hskp8 ),
    inference(csr,[status(thm)],[90674,44089]) ).

cnf(90686,negated_conjecture,
    ( hskp10
    | ~ hskp26
    | ~ hskp8
    | ~ hskp7 ),
    inference(csr,[status(thm)],[90566,90677]) ).

cnf(90697,negated_conjecture,
    ( hskp6
    | ~ hskp19
    | ~ hskp26
    | ~ hskp8
    | ~ hskp7 ),
    inference(spm,[status(thm)],[89206,90686,theory(equality)]) ).

cnf(90893,negated_conjecture,
    ( hskp6
    | ~ hskp26
    | ~ hskp19
    | ~ hskp8 ),
    inference(csr,[status(thm)],[90697,45182]) ).

cnf(90894,negated_conjecture,
    ( hskp6
    | ~ hskp26
    | ~ hskp19 ),
    inference(csr,[status(thm)],[90893,79918]) ).

cnf(90895,negated_conjecture,
    ( hskp6
    | hskp4
    | ~ hskp26 ),
    inference(spm,[status(thm)],[90894,37757,theory(equality)]) ).

cnf(90898,negated_conjecture,
    ( hskp4
    | ~ hskp26 ),
    inference(csr,[status(thm)],[90895,43352]) ).

cnf(90913,negated_conjecture,
    ( ~ hskp26
    | ~ hskp11
    | ~ hskp10
    | ~ c2_1(a1012) ),
    inference(csr,[status(thm)],[88876,94]) ).

cnf(90921,negated_conjecture,
    ( hskp13
    | ~ hskp26
    | ~ hskp11
    | ~ hskp10 ),
    inference(spm,[status(thm)],[90913,46333,theory(equality)]) ).

cnf(90933,negated_conjecture,
    ( hskp13
    | hskp7
    | ~ hskp26
    | ~ hskp10
    | ~ hskp4 ),
    inference(spm,[status(thm)],[90921,22443,theory(equality)]) ).

cnf(91168,negated_conjecture,
    ( hskp13
    | hskp7
    | ~ hskp26
    | ~ hskp10 ),
    inference(csr,[status(thm)],[90933,90898]) ).

cnf(91169,negated_conjecture,
    ( hskp13
    | hskp7
    | ~ hskp10 ),
    inference(csr,[status(thm)],[91168,84748]) ).

cnf(91170,negated_conjecture,
    ( hskp7
    | ~ hskp10 ),
    inference(csr,[status(thm)],[91169,75840]) ).

cnf(91171,negated_conjecture,
    ( hskp7
    | hskp9
    | ~ hskp3 ),
    inference(spm,[status(thm)],[91170,1869,theory(equality)]) ).

cnf(91180,negated_conjecture,
    ( hskp9
    | hskp7 ),
    inference(csr,[status(thm)],[91171,88199]) ).

cnf(91181,negated_conjecture,
    hskp9,
    inference(csr,[status(thm)],[91180,86407]) ).

cnf(91212,negated_conjecture,
    ( ~ hskp19
    | $false
    | ~ hskp2 ),
    inference(rw,[status(thm)],[83484,91181,theory(equality)]) ).

cnf(91213,negated_conjecture,
    ( ~ hskp19
    | ~ hskp2 ),
    inference(cn,[status(thm)],[91212,theory(equality)]) ).

cnf(91217,negated_conjecture,
    ( ~ hskp15
    | $false
    | ~ hskp2 ),
    inference(rw,[status(thm)],[79577,91181,theory(equality)]) ).

cnf(91218,negated_conjecture,
    ( ~ hskp15
    | ~ hskp2 ),
    inference(cn,[status(thm)],[91217,theory(equality)]) ).

cnf(91222,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | $false
    | ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[78323,91181,theory(equality)]) ).

cnf(91223,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[91222,theory(equality)]) ).

cnf(91226,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | $false
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[78056,91181,theory(equality)]) ).

cnf(91227,negated_conjecture,
    ( c1_1(X1)
    | c0_1(X1)
    | ~ hskp2
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[91226,theory(equality)]) ).

cnf(91688,negated_conjecture,
    ( hskp15
    | c1_1(a1001)
    | ~ hskp1
    | ~ hskp2
    | ~ c2_1(a1001) ),
    inference(spm,[status(thm)],[11151,91227,theory(equality)]) ).

cnf(91706,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp2
    | ~ c2_1(a1008) ),
    inference(spm,[status(thm)],[17848,91227,theory(equality)]) ).

cnf(94589,negated_conjecture,
    ( c1_1(a1008)
    | ~ hskp26
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[89000,107]) ).

cnf(94590,negated_conjecture,
    ( ~ hskp26
    | ~ hskp17
    | ~ hskp7 ),
    inference(csr,[status(thm)],[94589,106]) ).

cnf(94614,negated_conjecture,
    ( hskp25
    | hskp8
    | ~ hskp26
    | ~ hskp7 ),
    inference(spm,[status(thm)],[94590,56229,theory(equality)]) ).

cnf(94648,negated_conjecture,
    ( hskp25
    | hskp8
    | ~ hskp26 ),
    inference(csr,[status(thm)],[94614,3329]) ).

cnf(94649,negated_conjecture,
    ( hskp25
    | hskp8 ),
    inference(csr,[status(thm)],[94648,43348]) ).

cnf(95802,negated_conjecture,
    ( hskp15
    | c1_1(a1001)
    | ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[91688,131]) ).

cnf(95803,negated_conjecture,
    ( hskp15
    | ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[95802,129]) ).

cnf(95804,negated_conjecture,
    ( ~ hskp2
    | ~ hskp1 ),
    inference(csr,[status(thm)],[95803,91218]) ).

cnf(95811,negated_conjecture,
    ( hskp19
    | c1_1(a1008)
    | ~ hskp7
    | ~ hskp2 ),
    inference(csr,[status(thm)],[91706,107]) ).

cnf(95812,negated_conjecture,
    ( hskp19
    | ~ hskp7
    | ~ hskp2 ),
    inference(csr,[status(thm)],[95811,106]) ).

cnf(95813,negated_conjecture,
    ( ~ hskp7
    | ~ hskp2 ),
    inference(csr,[status(thm)],[95812,91213]) ).

cnf(95817,negated_conjecture,
    ( hskp1
    | ~ hskp7 ),
    inference(spm,[status(thm)],[95813,54299,theory(equality)]) ).

cnf(95820,negated_conjecture,
    hskp1,
    inference(csr,[status(thm)],[95817,78512]) ).

cnf(95821,negated_conjecture,
    ( ~ hskp2
    | $false ),
    inference(rw,[status(thm)],[95804,95820,theory(equality)]) ).

cnf(95822,negated_conjecture,
    ~ hskp2,
    inference(cn,[status(thm)],[95821,theory(equality)]) ).

cnf(95872,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | $false
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[67499,95820,theory(equality)]) ).

cnf(95873,negated_conjecture,
    ( c3_1(X1)
    | ~ hskp8
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[95872,theory(equality)]) ).

cnf(95947,negated_conjecture,
    ( hskp8
    | ~ hskp25
    | $false
    | ~ c2_1(a1048) ),
    inference(rw,[status(thm)],[12460,95820,theory(equality)]) ).

cnf(95948,negated_conjecture,
    ( hskp8
    | ~ hskp25
    | ~ c2_1(a1048) ),
    inference(cn,[status(thm)],[95947,theory(equality)]) ).

cnf(95953,negated_conjecture,
    ( hskp15
    | $false
    | ~ c0_1(a1001) ),
    inference(rw,[status(thm)],[11151,95820,theory(equality)]) ).

cnf(95954,negated_conjecture,
    ( hskp15
    | ~ c0_1(a1001) ),
    inference(cn,[status(thm)],[95953,theory(equality)]) ).

cnf(95970,negated_conjecture,
    ( hskp24
    | hskp3
    | $false
    | ~ c0_1(a1001) ),
    inference(rw,[status(thm)],[1416,95820,theory(equality)]) ).

cnf(95971,negated_conjecture,
    ( hskp24
    | hskp3
    | ~ c0_1(a1001) ),
    inference(cn,[status(thm)],[95970,theory(equality)]) ).

cnf(95974,negated_conjecture,
    ( ~ c1_1(a1001)
    | $false ),
    inference(rw,[status(thm)],[129,95820,theory(equality)]) ).

cnf(95975,negated_conjecture,
    ~ c1_1(a1001),
    inference(cn,[status(thm)],[95974,theory(equality)]) ).

cnf(95978,negated_conjecture,
    ( c2_1(a1001)
    | $false ),
    inference(rw,[status(thm)],[131,95820,theory(equality)]) ).

cnf(95979,negated_conjecture,
    c2_1(a1001),
    inference(cn,[status(thm)],[95978,theory(equality)]) ).

cnf(96164,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1001) ),
    inference(spm,[status(thm)],[95954,44411,theory(equality)]) ).

cnf(96205,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25
    | $false ),
    inference(rw,[status(thm)],[96164,95979,theory(equality)]) ).

cnf(96206,negated_conjecture,
    ( hskp15
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25 ),
    inference(cn,[status(thm)],[96205,theory(equality)]) ).

cnf(96207,negated_conjecture,
    ( hskp15
    | hskp3
    | c2_1(a1048)
    | ~ hskp25 ),
    inference(sr,[status(thm)],[96206,95975,theory(equality)]) ).

cnf(96952,negated_conjecture,
    ( hskp8
    | ~ c2_1(a1048) ),
    inference(csr,[status(thm)],[95948,94649]) ).

cnf(96987,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25
    | ~ c2_1(a1001) ),
    inference(spm,[status(thm)],[95971,44411,theory(equality)]) ).

cnf(97025,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25
    | $false ),
    inference(rw,[status(thm)],[96987,95979,theory(equality)]) ).

cnf(97026,negated_conjecture,
    ( hskp24
    | hskp3
    | c1_1(a1001)
    | c2_1(a1048)
    | ~ hskp25 ),
    inference(cn,[status(thm)],[97025,theory(equality)]) ).

cnf(97027,negated_conjecture,
    ( hskp24
    | hskp3
    | c2_1(a1048)
    | ~ hskp25 ),
    inference(sr,[status(thm)],[97026,95975,theory(equality)]) ).

cnf(98915,negated_conjecture,
    ( hskp15
    | hskp3
    | c2_1(a1048) ),
    inference(csr,[status(thm)],[96207,74231]) ).

cnf(98940,negated_conjecture,
    ( hskp8
    | hskp15
    | hskp3 ),
    inference(spm,[status(thm)],[96952,98915,theory(equality)]) ).

cnf(98945,negated_conjecture,
    ( hskp15
    | hskp8 ),
    inference(csr,[status(thm)],[98940,37553]) ).

cnf(98946,negated_conjecture,
    hskp15,
    inference(csr,[status(thm)],[98945,10780]) ).

cnf(98996,negated_conjecture,
    ( $false
    | ~ c1_1(a1026) ),
    inference(rw,[status(thm)],[73,98946,theory(equality)]) ).

cnf(98997,negated_conjecture,
    ~ c1_1(a1026),
    inference(cn,[status(thm)],[98996,theory(equality)]) ).

cnf(98998,negated_conjecture,
    ( $false
    | ~ c0_1(a1026) ),
    inference(rw,[status(thm)],[74,98946,theory(equality)]) ).

cnf(98999,negated_conjecture,
    ~ c0_1(a1026),
    inference(cn,[status(thm)],[98998,theory(equality)]) ).

cnf(99000,negated_conjecture,
    ( c2_1(a1026)
    | $false ),
    inference(rw,[status(thm)],[75,98946,theory(equality)]) ).

cnf(99001,negated_conjecture,
    c2_1(a1026),
    inference(cn,[status(thm)],[99000,theory(equality)]) ).

cnf(99084,negated_conjecture,
    ( c1_1(a1026)
    | ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(a1026) ),
    inference(spm,[status(thm)],[98999,91223,theory(equality)]) ).

cnf(99096,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1010)
    | ~ c2_1(a1026) ),
    inference(sr,[status(thm)],[99084,98997,theory(equality)]) ).

cnf(100357,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1010)
    | $false ),
    inference(rw,[status(thm)],[99096,99001,theory(equality)]) ).

cnf(100358,negated_conjecture,
    ( ~ hskp8
    | ~ c2_1(a1010) ),
    inference(cn,[status(thm)],[100357,theory(equality)]) ).

cnf(100373,negated_conjecture,
    ( hskp24
    | hskp3
    | c2_1(a1048) ),
    inference(csr,[status(thm)],[97027,74231]) ).

cnf(100395,negated_conjecture,
    ( hskp8
    | hskp24
    | hskp3 ),
    inference(spm,[status(thm)],[96952,100373,theory(equality)]) ).

cnf(100400,negated_conjecture,
    ( hskp24
    | hskp8 ),
    inference(csr,[status(thm)],[100395,37553]) ).

cnf(100401,negated_conjecture,
    hskp8,
    inference(csr,[status(thm)],[100400,43266]) ).

cnf(100404,negated_conjecture,
    ( $false
    | ~ c2_1(a1010) ),
    inference(rw,[status(thm)],[100358,100401,theory(equality)]) ).

cnf(100405,negated_conjecture,
    ~ c2_1(a1010),
    inference(cn,[status(thm)],[100404,theory(equality)]) ).

cnf(100413,negated_conjecture,
    ( c3_1(X1)
    | $false
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(rw,[status(thm)],[95873,100401,theory(equality)]) ).

cnf(100414,negated_conjecture,
    ( c3_1(X1)
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[100413,theory(equality)]) ).

cnf(100445,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | c2_1(a1010)
    | $false
    | ~ c2_1(a1037) ),
    inference(rw,[status(thm)],[48731,100401,theory(equality)]) ).

cnf(100446,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | c2_1(a1010)
    | ~ c2_1(a1037) ),
    inference(cn,[status(thm)],[100445,theory(equality)]) ).

cnf(101085,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ c2_1(a1037) ),
    inference(sr,[status(thm)],[100446,100405,theory(equality)]) ).

cnf(101086,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | hskp2
    | ~ hskp19 ),
    inference(spm,[status(thm)],[101085,3688,theory(equality)]) ).

cnf(101092,negated_conjecture,
    ( hskp4
    | c1_1(a1037)
    | ~ hskp19 ),
    inference(sr,[status(thm)],[101086,95822,theory(equality)]) ).

cnf(101202,negated_conjecture,
    ( hskp4
    | c1_1(a1037) ),
    inference(csr,[status(thm)],[101092,37757]) ).

cnf(101203,negated_conjecture,
    ( hskp4
    | ~ hskp19 ),
    inference(spm,[status(thm)],[58,101202,theory(equality)]) ).

cnf(101240,negated_conjecture,
    hskp4,
    inference(csr,[status(thm)],[101203,37757]) ).

cnf(101307,negated_conjecture,
    ( $false
    | ~ c3_1(a1004) ),
    inference(rw,[status(thm)],[117,101240,theory(equality)]) ).

cnf(101308,negated_conjecture,
    ~ c3_1(a1004),
    inference(cn,[status(thm)],[101307,theory(equality)]) ).

cnf(101309,negated_conjecture,
    ( c1_1(a1004)
    | $false ),
    inference(rw,[status(thm)],[119,101240,theory(equality)]) ).

cnf(101310,negated_conjecture,
    c1_1(a1004),
    inference(cn,[status(thm)],[101309,theory(equality)]) ).

cnf(101311,negated_conjecture,
    ( c2_1(a1004)
    | $false ),
    inference(rw,[status(thm)],[118,101240,theory(equality)]) ).

cnf(101312,negated_conjecture,
    c2_1(a1004),
    inference(cn,[status(thm)],[101311,theory(equality)]) ).

cnf(101371,negated_conjecture,
    ( ~ c1_1(a1004)
    | ~ c2_1(a1004) ),
    inference(spm,[status(thm)],[101308,100414,theory(equality)]) ).

cnf(101849,negated_conjecture,
    ( $false
    | ~ c2_1(a1004) ),
    inference(rw,[status(thm)],[101371,101310,theory(equality)]) ).

cnf(101850,negated_conjecture,
    ( $false
    | $false ),
    inference(rw,[status(thm)],[101849,101312,theory(equality)]) ).

cnf(101851,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[101850,theory(equality)]) ).

cnf(101852,negated_conjecture,
    $false,
    101851,
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SYN/SYN475+1.p
% --creating new selector for []
% -running prover on /tmp/tmpQYzTAc/sel_SYN475+1.p_1 with time limit 29
% -prover status Theorem
% Problem SYN475+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SYN/SYN475+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SYN/SYN475+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
% 
%------------------------------------------------------------------------------